3. Suppose 2 + f = 2*h. Suppose 2/3*a + 2/3*a**h + 0 = 0. Calculate a.
-1, 0
Factor -6*w**3 - 59*w**4 + 65*w**4 - 2*w**5 - w**2 + 3*w**2.
-2*w**2*(w - 1)**3
Let m(w) be the first derivative of -2*w**3/33 + 7*w**2/11 - 24*w/11 + 36. Determine z, given that m(z) = 0.
3, 4
Suppose 0 + 0*z**3 - 4/3*z**2 + 4/3*z**4 + 2/3*z - 2/3*z**5 = 0. Calculate z.
-1, 0, 1
What is m in -4/3*m**2 - 2/3*m**3 - 2/3*m + 0 = 0?
-1, 0
Let w(c) be the first derivative of 5*c**4/7 - 8*c**3/21 + 1. Solve w(b) = 0.
0, 2/5
Suppose -2*y**3 - 22*y - 10 - 3*y**2 - 3*y**2 + y**2 - 9*y**2 = 0. What is y?
-5, -1
Suppose 3*m + 5*f - 29 = 0, -2*m - 3*f + 17 = -1. Let u**3 - 1 + 0 - 3*u + u**4 + u + u**m = 0. What is u?
-1, 1
Let j be ((-48)/42)/((-4)/14). Factor 2*k**4 - 8*k**3 + 5*k + 7*k - 4*k + 2*k**j - 4.
4*(k - 1)**3*(k + 1)
Suppose 0*t**2 - 5*t**2 + 4*t**2 + 4*t**2 - 3*t**3 = 0. What is t?
0, 1
Let l(x) be the third derivative of x**10/604800 - x**8/80640 + x**5/20 + 3*x**2. Let o(v) be the third derivative of l(v). Factor o(r).
r**2*(r - 1)*(r + 1)/4
Suppose g + 2*i + 3*i - 19 = 0, -g = -4*i + 8. Let w = 2 + g. Determine c, given that c**3 - 7*c**3 + 3*c**3 - 3*c**5 - w*c**4 = 0.
-1, 0
Let c(n) be the first derivative of n**6/30 - n**5/10 + n**4/12 + n**2 - 2. Let k(t) be the second derivative of c(t). Factor k(s).
2*s*(s - 1)*(2*s - 1)
Let f(s) = -s + 8. Let y be f(6). Suppose 6 = c + 2*c. Factor -2*j**2 + y - 3*j**c + 3*j**2.
-2*(j - 1)*(j + 1)
Let u be (-1)/(-4) - (-22)/8. Let a be u + 0 - 51/(-9). Factor -8/3 + 4*m**3 - 2/3*m**4 - a*m**2 + 8*m.
-2*(m - 2)**2*(m - 1)**2/3
Let v(f) be the first derivative of f**4/6 - 2*f**3/3 - 7*f - 3. Let a(t) be the first derivative of v(t). Determine k so that a(k) = 0.
0, 2
Let z = -1 - -1. Suppose -4*m**4 + z*m**4 + m**3 + 3*m**4 = 0. What is m?
0, 1
Let b(q) be the first derivative of q**3/3 + q**2/2 - 3*q - 5. Let z(n) = n**2 + n - 4. Suppose 0 = -k - 0 - 3. Let o(v) = k*z(v) + 4*b(v). Factor o(r).
r*(r + 1)
Let i(w) = -w + 2*w**3 + 3*w**2 + 1 + 5*w**3 - 6*w**3 - 2*w**2. Let t(c) = 8*c**3 + 8*c**2 - 9*c + 9. Let n(q) = 18*i(q) - 2*t(q). Let n(v) = 0. Calculate v.
-1, 0
Let b(v) = -16*v**3 + 1. Let j be b(1). Let s be 3/9 + j/(-9). Factor -3*r + 4*r - s*r**2 + r**3 + 0*r.
r*(r - 1)**2
Let s = -32 + 40. Suppose 3*i - s*i = -20. Factor 0*g + 1/4*g**3 + 0 - 1/4*g**i + 1/2*g**2.
-g**2*(g - 2)*(g + 1)/4
Suppose -4*a - 20 = -0*a, 5*u = -a + 130. Let s = -27 + u. Find p such that s + 2*p + 1/2*p**3 - 2*p**2 = 0.
0, 2
Let y(h) be the third derivative of 7/48*h**4 + 8*h**2 + 1/48*h**6 + 0*h + 0 + 1/6*h**3 + 3/40*h**5 + 1/420*h**7. Factor y(t).
(t + 1)**3*(t + 2)/2
Let q(d) be the third derivative of 0 + 1/36*d**4 - 1/90*d**5 - 3*d**2 + 0*d + 0*d**3. Find o such that q(o) = 0.
0, 1
Let j = 1880 + -5593/3. Let m = j + -15. Factor m*h**2 + 0 - 2/3*h.
2*h*(h - 1)/3
Let f(a) be the third derivative of 0 + 0*a**4 + 0*a - 1/6*a**3 + 2*a**2 - 1/240*a**5 - 1/180*a**6. Let i(j) be the first derivative of f(j). Factor i(t).
-t*(4*t + 1)/2
Let s be (49/147)/(1/2). Factor -s*g**2 - 2/9*g + 0 - 2/9*g**4 - 2/3*g**3.
-2*g*(g + 1)**3/9
Suppose 2/5*u**3 - 2/5*u**4 - 4/5 - 2/5*u + 6/5*u**2 = 0. What is u?
-1, 1, 2
Let m(s) be the first derivative of -3*s**5/40 + 3*s**4/32 + s**3/4 - 5. Factor m(w).
-3*w**2*(w - 2)*(w + 1)/8
Let l(h) = -7*h**4 + 5*h**3 - h**2 - 3. Let d(n) = 76*n**4 - 56*n**3 + 12*n**2 + 32. Let j(s) = -3*d(s) - 32*l(s). Factor j(q).
-4*q**2*(q - 1)**2
Let p(o) be the first derivative of 3/5*o - 1/15*o**3 + 1 - 1/5*o**2. Suppose p(t) = 0. What is t?
-3, 1
Let j = 3 + -3. Suppose j = 2*i - 4 - 0. Solve i*q + 2/5 + 14/5*q**2 + 6/5*q**3 = 0.
-1, -1/3
Let x(d) be the second derivative of d**5/80 - d**4/24 + d**3/24 + 5*d. Determine i so that x(i) = 0.
0, 1
Let y(g) be the second derivative of -6*g**5/5 + 3*g**4 - 3*g**3 + 3*g**2/2 - g. What is u in y(u) = 0?
1/2
What is d in 3/7*d**2 + 1/7*d**4 + 3/7*d**3 + 0 + 1/7*d = 0?
-1, 0
Let b be 3 + 1/(-2)*2. Let 8*i**5 - 4*i**3 - b*i**5 - 3*i**5 + i**3 = 0. Calculate i.
-1, 0, 1
Let w(i) = 4*i**3 - 6*i**2 - 4*i - 6. Let m(v) = -3*v**3 + 6*v**2 + 4*v + 5. Let n(z) = 6*m(z) + 5*w(z). Let n(d) = 0. What is d?
-2, -1, 0
Let c(v) be the first derivative of 1/30*v**4 + 4/15*v**2 + 8/45*v**3 + 1 + 0*v. Solve c(f) = 0.
-2, 0
Let t(g) = -g**2 - g + 2. Let z be (-4)/6*84/(-8). Let m(d) = 2*d**2 + 2*d - 7. Let o(y) = z*t(y) + 2*m(y). Let o(c) = 0. What is c?
-1, 0
Suppose -4 = 8*q - 4*q. Let g be 0*q*2/2. Solve 18/11*b**5 + g*b + 0 - 2/11*b**2 + 14/11*b**3 - 30/11*b**4 = 0 for b.
0, 1/3, 1
Let u be (-2 + 724/360)*1. Let l(z) be the second derivative of 2/27*z**4 + u*z**5 + 0 + 4*z + 0*z**2 + 1/9*z**3. Find q, given that l(q) = 0.
-3, -1, 0
Let r = 1021 - 128645/126. Let z(p) be the second derivative of -4*p + 0*p**2 + 0*p**3 - r*p**7 + 1/36*p**4 + 1/30*p**6 + 0 - 1/20*p**5. Factor z(t).
-t**2*(t - 1)**3/3
Let n(a) be the third derivative of 3*a**2 + 0*a - 11/60*a**5 - 1/4*a**6 + 2/3*a**3 + 0 + 5/42*a**7 + 1/2*a**4. Factor n(v).
(v - 1)**2*(5*v + 2)**2
Find m, given that 3/8*m**2 + 3/4*m + 0 - 9/8*m**3 = 0.
-2/3, 0, 1
Find u such that -6*u**2 - 3*u - u**3 - 8*u**2 + 10*u**2 = 0.
-3, -1, 0
Let r(t) be the first derivative of -t**6/12 - 3*t**5/10 - t**4/4 + 43. Solve r(h) = 0.
-2, -1, 0
Let k(f) be the second derivative of f**4/24 - f**2/4 - 7*f. Factor k(j).
(j - 1)*(j + 1)/2
Let p(w) be the first derivative of -2*w**3/21 + 4*w**2/7 + 5. Factor p(a).
-2*a*(a - 4)/7
Let v(n) = n**2 - 3*n - 2. Let w be v(4). Let l be w/7 - (-21)/98. Let 1/2 + 3/2*o**2 - l*o**3 - 3/2*o = 0. What is o?
1
Let u(k) = -k. Let t be u(-6). Let l be (-1)/(-3) + t/18. Factor z + 1/3*z**2 + 1/3*z**4 - z**3 - l.
(z - 2)*(z - 1)**2*(z + 1)/3
Let m(o) be the third derivative of 1/210*o**7 + 0*o**4 - 1/60*o**5 + 0 + 0*o + 1/84*o**8 - 1/30*o**6 - o**2 + 0*o**3. Factor m(y).
y**2*(y - 1)*(y + 1)*(4*y + 1)
Let u = 1353 + -1351. Factor 1 + 77/4*d**u + 8*d + 49/4*d**3.
(d + 1)*(7*d + 2)**2/4
Let s be 3 - (-51)/(-18) - 0. Let z(b) = b - 5. Let a be z(5). Let -1/6*v**2 + a*v**3 + 0*v + 0 + s*v**4 = 0. Calculate v.
-1, 0, 1
Let x(j) = -j**3 + 5*j**2 + 5*j + 8. Let s be x(6). What is v in -1/3*v + 2/3 - 1/3*v**s = 0?
-2, 1
Let z(p) = 6*p**2 - 16*p - 10. Let t(m) = m + 7. Let n be t(-4). Let x(k) = -k - 4*k - 3 - k**2 + n*k**2. Let q(c) = -10*x(c) + 3*z(c). Factor q(i).
-2*i*(i - 1)
Let y(p) be the second derivative of -p**4/20 - 6*p**3/5 - 54*p**2/5 + 34*p. Factor y(o).
-3*(o + 6)**2/5
Let s(v) be the first derivative of 2 + v**2 + 0*v - 1/2*v**4 + 2*v**3 - 6/5*v**5. Factor s(l).
-2*l*(l - 1)*(l + 1)*(3*l + 1)
Solve 15*a + 0*a**2 + 2*a**2 - 6 - 14*a**2 + 3*a**3 = 0 for a.
1, 2
Let t(w) = -w**3 - 4*w**2 - 4*w - 1. Let o be t(-3). Let n(u) be the second derivative of -o*u - 8*u**2 + 1/10*u**5 + 0 - u**4 + 4*u**3. Factor n(l).
2*(l - 2)**3
Let g(t) be the first derivative of t**5/15 + 2*t**4/3 + 8*t**3/3 + t**2 + 4. Let p(z) be the second derivative of g(z). Suppose p(l) = 0. What is l?
-2
Let f(o) be the second derivative of -o**4/6 + 8*o**3/3 - 16*o**2 - 10*o. Determine s, given that f(s) = 0.
4
Let i(w) be the third derivative of w**5/12 + 5*w**4/8 - 6*w**2. What is d in i(d) = 0?
-3, 0
Let q(p) be the first derivative of -1 + 1/36*p**4 - 1/90*p**5 + 0*p**3 + 0*p - 3/2*p**2. Let k(f) be the second derivative of q(f). What is w in k(w) = 0?
0, 1
Let d(g) be the first derivative of 2*g**5/5 - 8*g**4 + 176*g**3/3 - 192*g**2 + 288*g - 42. Factor d(f).
2*(f - 6)**2*(f - 2)**2
Let m(a) be the first derivative of -3*a**4/16 + 9*a**2/8 - 3*a/2 - 2. Factor m(s).
-3*(s - 1)**2*(s + 2)/4
Let s(g) be the second derivative of -g**7/840 - g**6/180 - g**5/120 + 2*g**3/3 + 3*g. Let n(j) be the second derivative of s(j). Let n(c) = 0. Calculate c.
-1, 0
Suppose -3 = -2*y + 1, -12 = -m - 5*y. Let g(b) be the first derivative of 1 - b + 3/4*b**m - 1/6*b**3. Factor g(t).
-(t - 2)*(t - 1)/2
Let o(w) be the second derivative of 3/4*w**2 + 0 - 1/8*w**4 + 0*w**3 - w. Factor o(g).
-3*(g - 1)*(g + 1)/2
Let u be (-1)/(-3) - (-60)/36. Let w(o) be the first derivative of -1/12*o**3 - 1/8*o**u + 1 + 0*o. Determine s so that w(s) = 0.
-1, 0
Let x(l) be the second derivative of l**5/4 - 5*l**4/3 - 5*l**3/6 + 10*l**2 - 3*l. Determine r, given that x(r) = 0.
-1, 1, 4
Let i = 43 + -43. F