 z(k) be the third derivative of 0*k**3 + 1/525*k**7 + 1/150*k**6 + 0 + 0*k**4 - 1/840*k**8 + 0*k**5 + 5*k**2 + 0*k. Solve z(t) = 0 for t.
-1, 0, 2
Let r(h) be the first derivative of -2*h**3/21 - 2*h**2/7 - 2*h/7 + 6. Factor r(d).
-2*(d + 1)**2/7
Suppose j + j + 8 = 5*f, -2*j = -2. Solve -3*i**2 - f*i**2 + 6*i**2 - 2*i + i**2 = 0 for i.
0, 1
Let u(d) be the first derivative of -1/18*d**4 + 4/27*d**3 + 0*d + 5 - 1/9*d**2. Suppose u(i) = 0. What is i?
0, 1
Let d(q) = -22*q**4 + 58*q**3 - 12*q + 12. Let i(x) = 9*x**4 - 23*x**3 + 5*x - 5. Let y(c) = -5*d(c) - 12*i(c). Factor y(l).
2*l**3*(l - 7)
Let a(o) be the second derivative of -o**5/20 + o**4/12 + o**3/3 + 5*o. Find j, given that a(j) = 0.
-1, 0, 2
Let z be ((-4)/5)/((-2)/(-10)). Let r be 4 + 2/(z - -3). Factor -2*h**4 + 6*h**5 + 21*h**2 - 4*h**5 - 21*h**r.
2*h**4*(h - 1)
Let m be (3 - 2/(-18)) + 2/9. Let v(x) be the first derivative of -x**2 + m*x**3 - 2 - x**4 - 4*x. Factor v(d).
-2*(d - 2)*(d - 1)*(2*d + 1)
Let x(v) = v**3 + v**2 + 1. Let g = -30 - -42. Let q(f) = -f**3 - 4*f**2 + 2*f + 3. Let n(p) = g*x(p) - 4*q(p). Determine w, given that n(w) = 0.
-2, 0, 1/4
Let k(h) be the second derivative of h**7/56 - h**6/40 - 9*h**5/40 + 7*h**4/8 - 11*h**3/8 + 9*h**2/8 - 12*h. Factor k(f).
3*(f - 1)**4*(f + 3)/4
Let r(a) be the first derivative of 20*a**3 + 38*a**2 + 24*a + 69. Solve r(k) = 0 for k.
-2/3, -3/5
Let o = 98151/14 + -7019. Let v = 17/2 + o. Factor 2/7*t**4 + v*t**5 - 4/7*t**2 + 2/7 - 4/7*t**3 + 2/7*t.
2*(t - 1)**2*(t + 1)**3/7
Suppose -5*w - 1 = -11. Let p be (-56)/49*w/(-8). Suppose -2/7 - 2/7*j + p*j**3 + 2/7*j**2 = 0. What is j?
-1, 1
Let j(z) be the first derivative of z**4/12 - z**2/2 - 2*z - 1. Let m(a) be the first derivative of j(a). Factor m(t).
(t - 1)*(t + 1)
Let h(b) be the first derivative of 2*b**5/15 - b**4/18 - 4*b**3/27 - 6. Suppose h(l) = 0. What is l?
-2/3, 0, 1
Let c(z) = -z - 7. Let y(g) = g**2 + 9*g - 7. Let u be y(-9). Let t be c(u). Determine q so that t + 1/3*q**2 - 1/3*q = 0.
0, 1
Suppose c - 2 = 4. Factor 8 + 3*j**2 - c + j - 4*j**2.
-(j - 2)*(j + 1)
Let d = -7 + 1. Let v be d/(-4) - 1/(-2). Let -5*u**4 + 2*u**5 + 1 + 5*u + 10*u**3 - u**5 - 10*u**2 - v = 0. Calculate u.
1
Let s(n) be the third derivative of n**5/90 - n**4/18 - 22*n**2. Factor s(i).
2*i*(i - 2)/3
Let u(g) be the first derivative of g**6/30 + g**5/20 - g**4/12 - g**3/6 - 3*g + 3. Let i(d) be the first derivative of u(d). Solve i(a) = 0.
-1, 0, 1
Suppose -2*f + 8 = -l - l, 4*l - 5*f + 20 = 0. Suppose 5*s = -2*z - 2, -3*s + 4*z = -l - 4. Solve 1/2*i**2 - 1/2*i**3 + 1/2*i**5 + 0*i - 1/2*i**4 + s = 0.
-1, 0, 1
Let f(z) be the third derivative of 1/20*z**5 + 4*z**2 + 0 + 0*z + 0*z**3 - 1/24*z**4 - 2/105*z**7 + 0*z**6. Factor f(y).
-y*(y + 1)*(2*y - 1)**2
Let w(m) be the third derivative of 1/30*m**6 - m**2 + 0 + 0*m**4 - 1/30*m**5 + 1/140*m**7 + 0*m**3 - 3/224*m**8 + 0*m. Factor w(x).
-x**2*(x + 1)*(3*x - 2)**2/2
Suppose 4*m - 6 - 2 = 0. Factor m + 2*p + 1/2*p**2.
(p + 2)**2/2
Let y = 46 + -128/3. Suppose 2*u = u + 4. What is n in 4/3*n - 4/3*n**3 + y*n**u + 0 - 10/3*n**2 = 0?
-1, 0, 2/5, 1
Suppose 2*c = -c + 6. Let w(i) = 8*i**2 - i + 2. Let b be w(c). Factor 15*r**2 + 2 + 21*r**3 - 16*r - b*r + 10.
3*(r - 1)*(r + 2)*(7*r - 2)
Let d = 21 + -55/3. Find z, given that -4/3 + 4*z**2 - 4/3*z**3 + 4/3*z - d*z**4 = 0.
-1, 1/2, 1
Let h be 1/(3 + (-64)/22). Let m = h + -7. Factor -4/11*i**2 + 2/11*i**m + 2/11 + 0*i + 0*i**3.
2*(i - 1)**2*(i + 1)**2/11
Suppose 4*q + 0*q = -24. Let j = 12 + q. Factor j*v**2 - 6*v**2 - v**3.
-v**3
Let h(n) be the second derivative of 0*n**3 + 0 - 1/12*n**4 + 1/2*n**2 + 3*n. Determine b so that h(b) = 0.
-1, 1
Let k(w) = 4*w**2 - 13*w. Let o(n) = n**2 - 3*n. Let z = -21 + 29. Suppose -b - 3*b = z. Let c(f) = b*k(f) + 9*o(f). Factor c(i).
i*(i - 1)
Let t(q) = 3 + 8*q**2 - q**3 - 8 + 0 + q. Let v be t(8). Let k(a) = 5*a**2 - 11*a - 7. Let x(s) = -2*s**2 + 5*s + 3. Let d(z) = v*k(z) + 7*x(z). Factor d(p).
p*(p + 2)
Factor -2 - 2*d**2 - 1 + 4 + 1.
-2*(d - 1)*(d + 1)
Let i be ((-210)/196 - (-3)/(-7)) + 2. Determine u, given that i*u + u**2 - u**4 - 1/2*u**5 + 0*u**3 + 0 = 0.
-1, 0, 1
Let i = 9 + -11. Let y be 1/(-3) + i/(-6). Factor 0*s - 1/2*s**3 + s**4 + y*s**2 + 0 - 1/2*s**5.
-s**3*(s - 1)**2/2
Let y(l) be the second derivative of l**5/240 - l**4/32 + l**3/12 + l**2/2 + 3*l. Let n(k) be the first derivative of y(k). Factor n(i).
(i - 2)*(i - 1)/4
Suppose 4*k = -4*b, 4*b = 3*k - 8*k + 2. Let y be 22/12 - 1/2. Factor -4/3 - 1/3*t**k - y*t.
-(t + 2)**2/3
Let u(l) be the first derivative of -2/9*l**3 + 1/3*l**2 - 5 + 0*l. Factor u(j).
-2*j*(j - 1)/3
Let h be 0 + 5 - (2 + -1). Suppose 3*s = 4*f - 2*f + 8, 3*s = -3*f - 12. Factor 2 - h*x - 2*x**2 + 4*x**2 + s*x**2.
2*(x - 1)**2
What is v in 2/7*v**2 - 2/7*v**4 + 0 + 10/7*v**3 - 10/7*v = 0?
-1, 0, 1, 5
Find l, given that 1/2*l**3 + 1/4*l**4 + 0*l + 0 + 1/4*l**2 = 0.
-1, 0
Let d(p) be the second derivative of -p**7/98 - p**6/105 + p**5/35 + p**4/42 - p**3/42 - 8*p. What is s in d(s) = 0?
-1, 0, 1/3, 1
Suppose 3*l = 5*l - 2. Let c = 3 - l. Suppose -10/3*v**4 + 10/3*v**2 - c*v**5 + 4/3*v + 0 + 2/3*v**3 = 0. Calculate v.
-1, -2/3, 0, 1
Let x(p) = p + 10. Let q be x(-8). Find j, given that 4*j**5 - j - 3*j**5 - 6*j**2 - q*j**4 + 8*j**2 = 0.
-1, 0, 1
Let t(u) be the third derivative of -u**8/60480 + u**7/5040 - u**6/1080 + u**5/60 - u**2. Let m(a) be the third derivative of t(a). Factor m(r).
-(r - 2)*(r - 1)/3
Let o(k) be the first derivative of -49*k**6/24 - 7*k**5/5 + 45*k**4/16 + 7*k**3/3 + k**2/2 - 7. Find h, given that o(h) = 0.
-1, -2/7, 0, 1
Let o = 12/11 + -38/55. Solve 2/5*n**2 - o + 2/5*n - 2/5*n**3 = 0 for n.
-1, 1
Let h(k) be the first derivative of k**4/10 + 8*k**3/5 + 48*k**2/5 + 128*k/5 - 2. Find o, given that h(o) = 0.
-4
Let s(n) be the third derivative of -n**8/112 + n**6/40 - 8*n**2. Factor s(d).
-3*d**3*(d - 1)*(d + 1)
Let q(v) be the second derivative of -v**7/315 - v**6/540 + v**5/45 + v**4/36 - v**3/3 + 6*v. Let o(y) be the second derivative of q(y). Factor o(u).
-2*(u - 1)*(u + 1)*(4*u + 1)/3
Let m(d) be the first derivative of -5*d**6/2 - 11*d**5 + 15*d**4/4 + 45*d**3 - 10*d**2 - 60*d - 26. Let m(n) = 0. What is n?
-3, -2, -2/3, 1
Suppose -m + 3*u = -9, 3*m + 4*u + 3 = 4. Factor m - 3/2*w - 3/2*w**2.
-3*(w - 1)*(w + 2)/2
Suppose -3*n - 3*a = -3, n - 4*a = 8 - 2. Let k be (-141)/(-27) - n/9. Find x, given that -4*x**k + 0*x**3 + 2*x**2 - 3*x + 2*x**3 - 3*x**4 + 5*x**5 + 1 = 0.
-1, 1
Let -11/6*n**2 - 15/2 + 13/2*n + 1/6*n**3 = 0. Calculate n.
3, 5
Suppose -c - 5*q - 5 = -8, 2*q = 0. Find y such that 21/5*y**c - 3/5*y**2 + 0 + 0*y + 27/5*y**5 - 9*y**4 = 0.
0, 1/3, 1
Let d(c) = -c**3 + c**2 + c. Let h(p) = -3*p**2 - p. Let x(j) = -j - 1. Let t be x(0). Suppose -1 = 4*y + 3. Let a(b) = t*h(b) + y*d(b). Factor a(s).
s**2*(s + 2)
Suppose 24*b - 27*b + 9 = 0. What is i in -8/5*i + 2*i**b - 12/5*i**2 - 2/5*i**4 + 16/5 = 0?
-1, 2
Let q(l) be the first derivative of 3*l**5/20 - l**4/2 + l**3/2 + 3*l + 5. Let h(g) be the first derivative of q(g). Factor h(m).
3*m*(m - 1)**2
Let x be -3 + ((-3)/(-6))/((-20)/(-136)). Let w**5 - 2*w**2 + 12/5*w**4 - 9/5*w - x + 4/5*w**3 = 0. Calculate w.
-1, -2/5, 1
Let l be ((-108)/882)/(12/(-28)). Factor 2*z**2 - 4/7*z - l - 8/7*z**3.
-2*(z - 1)**2*(4*z + 1)/7
Let y(i) be the third derivative of 0 + 0*i**5 + 1/120*i**6 - 1/105*i**7 + 1/336*i**8 + 0*i**3 + 0*i + 0*i**4 + 2*i**2. What is x in y(x) = 0?
0, 1
Let r be ((-4)/14)/(1/(-7)). Let p(y) be the third derivative of 0*y**3 - 1/300*y**6 + 0 + 0*y + 2*y**r + 1/150*y**5 + 0*y**4. Factor p(m).
-2*m**2*(m - 1)/5
Factor m**2 - 291 + m**2 + 291 - 2*m**4.
-2*m**2*(m - 1)*(m + 1)
Let d(y) be the first derivative of 3 - 2/7*y - 20/21*y**3 - 2/7*y**5 + 5/7*y**4 + 5/7*y**2 + 1/21*y**6. Suppose d(j) = 0. What is j?
1
Let w = 22 + -18. Suppose 4*c - 8 = -4*j, -5*c = 3*j - 2 - w. Factor 0 + 2/3*n - 2/3*n**j.
-2*n*(n - 1)/3
Suppose v + 5 = -g - g, g = -2*v + 5. Let j(r) = -r**2 - 5*r + 2. Let o be j(g). Determine c, given that -2/7*c**o + 0 - 2/7*c = 0.
-1, 0
Factor 3/2*j**2 - 15*j + 75/2.
3*(j - 5)**2/2
Let d(a) = 6*a + 33*a**2 + 41 - 5*a**3 + 12*a + 21*a. Let m(t) = t**3 - 8*t**2 - 10*t - 10. Let w(h) = 2*d(h) + 9*m(h). Find v such that w(v) = 0.
-2
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