 + 2. Let h be r(q). Factor -4*g**h + 3*g + 2*g**2 + g**2 - 5*g.
-g*(g + 2)
Let s(q) be the second derivative of -q + 0 + 0*q**4 + 0*q**2 + 1/180*q**6 - 1/30*q**5 - 1/2*q**3. Let m(r) be the second derivative of s(r). Solve m(d) = 0.
0, 2
Let x(u) be the second derivative of u**6/20 - 9*u**5/40 + u**4/8 + 3*u**3/4 - 3*u**2/2 - 20*u. Factor x(d).
3*(d - 2)*(d - 1)**2*(d + 1)/2
Suppose -4*y + 9*y + 10 = 0. Let o be (-1 + y)*(-2)/18. Factor 1/3 + o*m**2 - 2/3*m.
(m - 1)**2/3
Let f be 40/(-6)*(12 + 441/(-35)). Find a such that 2/5*a**3 + 2/5*a**5 + 0 + 0*a + 0*a**2 + 4/5*a**f = 0.
-1, 0
Suppose 10/11*i**4 + 2/11*i**5 - 8/11*i + 6/11*i**3 - 10/11*i**2 + 0 = 0. What is i?
-4, -1, 0, 1
Let x be 0/((-2 + 1)*-3). Determine r, given that -2*r**3 - 2*r**5 - 2*r**4 + 2*r**2 + x*r**2 + 4*r**5 = 0.
-1, 0, 1
Let w(s) be the second derivative of 2/5*s**3 - 1/70*s**7 - 9/100*s**5 + 1/5*s**4 - 2/25*s**6 - 3*s + 0*s**2 + 0. Let w(j) = 0. Calculate j.
-2, -1, 0, 1
Let c(i) be the third derivative of i**6/280 + i**5/70 - 3*i**4/56 + 49*i**2. Let c(l) = 0. Calculate l.
-3, 0, 1
Let s = 12 - 10. Let -2*l + 6*l + 3*l**s - 2*l - l**2 = 0. What is l?
-1, 0
Let f = 5 + -13/3. Factor 0 - 1/3*j**2 - f*j.
-j*(j + 2)/3
Let p = 27 + -13. Factor 24*k**2 - 4 + 2*k - 3*k - p*k**3 - 5*k.
-2*(k - 1)**2*(7*k + 2)
Let p(i) be the second derivative of i**4/12 + i**3/6 - i**2/2 + 9*i. Let n(o) = -2*o**2 - 2*o - 2. Let a(u) = n(u) + 6*p(u). Factor a(d).
4*(d - 1)*(d + 2)
Suppose 3*f + 1 = -2*t - 1, -5 = -4*f + 5*t. Suppose -3*j - j - 5*a - 10 = f, 0 = -3*j - 5*a - 10. Suppose 2/9*s**2 + j*s + 0 = 0. Calculate s.
0
Suppose 7*r - 7*r = -4*r. Let n(w) be the second derivative of r + 0*w**2 + 1/12*w**4 + w + 1/3*w**3. Factor n(u).
u*(u + 2)
Let v(k) be the second derivative of 1/21*k**3 + 1/42*k**4 + 0 - 2/7*k**2 + k. Find j, given that v(j) = 0.
-2, 1
Let a(b) = -12*b**2 - 7*b - 45 - 4*b + 6*b**2 + 62*b. Let g(q) = -q**2 + 10*q - 9. Let w(x) = 4*a(x) - 21*g(x). Find r, given that w(r) = 0.
-3, 1
Let a(u) = u + 2*u**2 + u**3 - 3*u**2 + 1 + 2. Let o be a(0). Let 0*c + 1/3*c**o - 1/3*c**2 + 0 = 0. Calculate c.
0, 1
Suppose -2/9*y**3 + 0*y - 2/9*y**2 + 0 = 0. What is y?
-1, 0
Let s(i) be the first derivative of 0*i + 0*i**2 - 4 - 1/6*i**4 + 1/9*i**3 + 1/15*i**5. Factor s(m).
m**2*(m - 1)**2/3
Let u(z) = -3*z**3 - 2*z**2 + 10*z - 5. Let y(g) = g - 1. Let v(q) = u(q) - 3*y(q). Suppose v(w) = 0. Calculate w.
-2, 1/3, 1
Let o(l) be the second derivative of 8*l**7/21 + 2*l**6/5 - l**5 - l**4 + 2*l**3/3 - 7*l. Find c, given that o(c) = 0.
-1, 0, 1/4, 1
Let l be 4/(-2) + ((-245)/(-21) - 9). Factor 8/3 + l*d**2 - 8/3*d.
2*(d - 2)**2/3
Let r(u) = 3 + 9*u**2 - 5*u - 14*u**2 + 1. Let p(i) = i**2 + i - 1. Let m(f) = -4*p(f) - r(f). Factor m(j).
j*(j + 1)
Suppose i = -2*i + 6. Factor -3*n**2 + 2*n**3 + 0*n**2 + 3*n**i.
2*n**3
Let n = -5 + 9. Suppose 4*r - 2*c - n = 0, -2*r - 3*c = -0*r + 6. Factor 1/2*w**3 - 1/4*w**5 - 1/4*w + r*w**2 + 0*w**4 + 0.
-w*(w - 1)**2*(w + 1)**2/4
Let a(r) be the third derivative of r**8/3360 - r**7/1260 - r**4/12 - 3*r**2. Let q(t) be the second derivative of a(t). Suppose q(m) = 0. What is m?
0, 1
Let s(r) = -r**3 - 2*r**2 - r. Let k be s(-2). Factor -k*a**5 + a**3 - 2*a**2 + a**3 + a**5 - a**5 + 2*a**4.
-2*a**2*(a - 1)**2*(a + 1)
Factor -3*s**3 - 9 - 13*s - 13*s + 5*s - 15*s**2.
-3*(s + 1)**2*(s + 3)
Let o(m) = -4*m**3 - 1 + 3 - 12*m + 19*m**3 + 3 + 3*m**2. Let f(a) = 22*a**3 + 4*a**2 - 18*a + 8. Let c(x) = 5*f(x) - 8*o(x). What is b in c(b) = 0?
-1, 0, 3/5
Suppose -5*p - 5 = 0, -6*t + 3*t - 3*p = -12. Let q(k) be the third derivative of -1/21*k**3 + 0*k + 1/210*k**t + 0*k**4 + 0 - 2*k**2. Solve q(b) = 0 for b.
-1, 1
Let c(f) be the first derivative of 3*f**4/4 - f**3 - 3*f**2 - 12. Suppose c(z) = 0. Calculate z.
-1, 0, 2
Let h(i) be the first derivative of -i**3/12 + i**2/8 + 7. Determine v, given that h(v) = 0.
0, 1
Let c = 33 - 73. Let u be ((-4)/c)/(1/4). Factor 0 - 2/5*f**2 + u*f.
-2*f*(f - 1)/5
Let w(v) be the second derivative of v**8/30240 - v**7/11340 - 2*v**4/3 + 6*v. Let t(k) be the third derivative of w(k). Factor t(g).
2*g**2*(g - 1)/9
Let f(o) be the third derivative of -o**7/315 + o**6/90 + o**5/90 - o**4/18 + 3*o**2. Determine x, given that f(x) = 0.
-1, 0, 1, 2
Let f be (-12)/21 + (-525)/(-490). Factor 1/2*s**2 + f*s**3 - 1/2*s - 1/2.
(s - 1)*(s + 1)**2/2
Find h such that -25*h**2 - 20 - 40*h - 12*h**3 + 3*h**3 + 4*h**3 = 0.
-2, -1
Let s(f) be the first derivative of -f**4/4 + f**3 + 3*f**2 - 6*f + 2. Let l be s(4). Solve -6*w**3 + w**5 - 7*w**4 + 2*w + 3*w**5 + 9*w**4 - 2*w**l = 0.
-1, 0, 1/2, 1
Let d be 32/(-6) - 1/(-3). Let m(a) = -a**2 - 5*a. Let s be m(d). Factor -1/4*q**3 + s + 0*q**2 + 0*q.
-q**3/4
Let m(k) = -3*k**4 - 12*k**3 - 15*k**2 - 2*k + 4. Let o(a) = 12*a**4 + 48*a**3 + 60*a**2 + 9*a - 15. Let x(h) = -15*m(h) - 4*o(h). Factor x(s).
-3*s*(s + 1)**2*(s + 2)
Let n be 12/2 + -8 + 4. Determine j, given that -32/3*j**n - 8/3*j + 0 - 14*j**3 - 6*j**4 = 0.
-1, -2/3, 0
Let c(s) be the first derivative of -4*s**5/25 + s**4/5 + 16*s**3/15 - 8*s**2/5 + 24. Factor c(v).
-4*v*(v - 2)*(v - 1)*(v + 2)/5
Let c(m) = -m**3 + 4*m**2 + 2. Let o be c(4). Let -5*v**3 + 6 + o*v - 14 + 6*v**2 + 2*v + 5*v**4 - 4*v**4 = 0. What is v?
-1, 2
Factor 0 - 9/5*z**3 + 0*z**4 + 6/5*z**2 + 0*z + 3/5*z**5.
3*z**2*(z - 1)**2*(z + 2)/5
Let p(l) = -7*l**2 + 13*l + 3. Let j(k) = 48*k**2 - 92*k - 20. Let i(r) = 3*j(r) + 20*p(r). Factor i(u).
4*u*(u - 4)
Factor 0 + 13/2*y**3 + 2*y + 3*y**4 + 1/2*y**5 + 6*y**2.
y*(y + 1)**2*(y + 2)**2/2
Let y(l) be the third derivative of -1/5*l**3 + 0 - 3*l**2 + 1/200*l**6 - 1/40*l**4 + 0*l + 1/50*l**5. Factor y(i).
3*(i - 1)*(i + 1)*(i + 2)/5
Let a(g) be the second derivative of g**5/100 + g**4/40 - g**2 - 2*g. Let p(o) be the first derivative of a(o). Suppose p(y) = 0. Calculate y.
-1, 0
Let w be 4/(-18) - (-40)/45. Factor -16/9*j + 8/9 + w*j**2.
2*(j - 2)*(3*j - 2)/9
Let m be 0 + (-1)/(-12) + (-14)/(-56). Factor 1/3 + 2/3*k + m*k**2.
(k + 1)**2/3
Let w be (-3)/6 - (1 + -2). Let m(k) be the first derivative of 1 - 1/12*k**4 - 1/3*k**3 - 1/3*k - w*k**2. Suppose m(p) = 0. What is p?
-1
Find w, given that 42*w - w**5 + 5*w**4 - 3 - 2*w**2 - 6*w**3 - 35*w + 0*w**2 = 0.
-1, 1, 3
Suppose 12 = 4*q, -2*q + 12 = -0*m + 2*m. What is d in -3/2*d**2 - d**m - 1/2*d + 0 = 0?
-1, -1/2, 0
Suppose 7*l - 16 = 3*l + 4*p, 2*l - 3 = -3*p. Let s(h) be the first derivative of 1 + 0*h**2 + 0*h - 1/9*h**l. What is f in s(f) = 0?
0
Suppose -4*w - 4*q + 30 = 2, 0 = -3*w + 4*q + 35. Suppose -n = 5 - w. Determine d so that -1/3*d**3 + 1/6*d**n + 1/6 + 1/6*d**5 - 1/3*d**2 + 1/6*d = 0.
-1, 1
Let u(l) be the second derivative of -5*l**4/12 + 5*l**3/3 - 5*l**2/2 + 6*l. Suppose u(s) = 0. What is s?
1
Let r be (8 - 6) + (-12)/7. Let 6/7*g - 4/7*g**2 - r = 0. Calculate g.
1/2, 1
Let m be (-3*(-2)/3)/1. Suppose -3*t - 12 = -3*s, -3*t + m*s - 4 = 3. Factor t - 3*b - 3*b**2 - b + 2*b.
-(b + 1)*(3*b - 1)
Let b(c) = c - 1. Let k be b(6). Let a(x) be the third derivative of 0 - 1/84*x**4 + 2/21*x**3 + 2*x**2 + 0*x - 1/210*x**k. Factor a(f).
-2*(f - 1)*(f + 2)/7
Let q = 96 + -93. Factor 6/5*h**2 + 0 + 3/5*h**q + 0*h.
3*h**2*(h + 2)/5
Let u = 1/25 + 71/100. Let y(v) be the first derivative of -1/4*v**6 + 3/2*v - u*v**2 + 3/10*v**5 - v**3 + 1 + 3/4*v**4. Find s such that y(s) = 0.
-1, 1
Let t(f) be the second derivative of -f**5/60 - f**4/24 - 7*f**2/2 - 7*f. Let n(x) be the first derivative of t(x). Factor n(r).
-r*(r + 1)
Let o be 1 - (1 - (-2 - -1)). Let y = o + 5. Find z, given that z**2 - 2*z**3 - 3*z**4 - 2*z**y + 2*z**4 = 0.
-1, 0, 1/3
Let s(t) be the second derivative of -t**4/60 - 19*t**3/30 + 2*t**2 + t + 5. Let s(j) = 0. Calculate j.
-20, 1
Let n be -5 - (-85)/15 - 7/(-3). Factor 0 + 2/5*y + 2/5*y**n - 4/5*y**2.
2*y*(y - 1)**2/5
Let u be (-1)/(-5) + ((-342)/60)/(-19). Let c be 8/12 - (-1)/(-6). Solve -y + u*y**3 + 0 + c*y**2 = 0 for y.
-2, 0, 1
Let a(u) be the third derivative of -3*u**2 + 0*u + 0 - 1/50*u**5 + 0*u**4 - 1/300*u**6 + 4/15*u**3. Solve a(y) = 0 for y.
-2, 1
Let q = 14/9 + -52/45. Find v, given that q - 2/5*v**2 + 0*v = 0.
-1, 1
Let p(l) = 3*l**2 - 4*l + 1. Suppose 2*q = -0*q - 18. Let d(r) = 7*r**2 - 9*r + 2. Let c(v) = q*p(v) + 4*d(v). Suppose c(o) = 0. What is o?