 be the first derivative of -k**4/26 - 4*k**3/13 - 5*k**2/13 + 17. Determine g, given that x(g) = 0.
-5, -1, 0
Let 1/2*z**2 + 1/4*z**3 + 0*z + 0 - 11/2*z**4 - 21/4*z**5 = 0. Calculate z.
-1, -1/3, 0, 2/7
Let r(z) be the second derivative of -2/15*z**6 + 0 - 2/21*z**7 + 0*z**3 + 4/3*z**4 + 4/5*z**5 + 0*z**2 - 26*z. Find o such that r(o) = 0.
-2, -1, 0, 2
Let x(y) be the first derivative of -1/4*y**2 - 6 - y + 1/8*y**4 + 1/3*y**3. Suppose x(b) = 0. Calculate b.
-2, -1, 1
Let g(k) be the third derivative of 4/21*k**3 + 1/210*k**5 + 1/21*k**4 - 12*k**2 + 0 + 0*k. Determine q so that g(q) = 0.
-2
Let m be 2514/(-7) + (0 + -2)/2. Let r = -359 - m. Factor 6/7*b**5 + 0*b**2 + 0 + 0*b - r*b**4 - 8/7*b**3.
2*b**3*(b - 2)*(3*b + 2)/7
Factor 2/13*h**5 - 142/13*h - 28/13*h**4 - 16*h**2 - 36/13 - 132/13*h**3.
2*(h - 18)*(h + 1)**4/13
Let f(n) = n**3 - 10*n**2 + 10*n - 21. Let p be f(9). Let d be p/(-7) - 62/(-217). What is r in 4/9*r + 0 + 2/9*r**d = 0?
-2, 0
Find f, given that 1458/5 + 2/5*f**2 + 108/5*f = 0.
-27
Let h(x) be the first derivative of -5*x**4/8 + 4*x**3/3 + x**2 + 67. Determine m so that h(m) = 0.
-2/5, 0, 2
Let d(x) = -148*x**3 + x + 1. Let o be d(-1). Suppose -o*z**2 + 56*z**2 - 120*z - 16 + 16*z**3 - 114*z**3 - 160*z**2 = 0. What is z?
-2, -2/7
Let z(r) be the first derivative of -r**4/24 + r**3/9 - r**2/12 + 36. Factor z(w).
-w*(w - 1)**2/6
Let u(b) be the third derivative of -b**6/40 + 4*b**5/5 - 41*b**4/8 + 13*b**3 - 27*b**2. Factor u(t).
-3*(t - 13)*(t - 2)*(t - 1)
Let y(r) = r**3 + 95*r**2 + 693*r - 261. Let w be y(-87). Find m such that w + 16/15*m**2 + 2/5*m**3 - 4/15*m**4 + 2/5*m = 0.
-1, -1/2, 0, 3
Let f be -1 + (-364)/(-5) - (-6)/30. Let j = f - 72. Factor 1/2*p**3 - 1/2*p**4 - 1/2*p + 1/2*p**2 + j.
-p*(p - 1)**2*(p + 1)/2
Let g(u) be the first derivative of 4/21*u**3 + 0*u**4 - 2/7*u - 2/35*u**5 + 0*u**2 - 8. Solve g(x) = 0 for x.
-1, 1
Let q(l) be the second derivative of -l**7/2520 + l**6/180 - l**5/30 + 5*l**4/6 - 11*l. Let x(t) be the third derivative of q(t). Suppose x(c) = 0. What is c?
2
Let r(f) be the first derivative of 7*f**6/480 - 3*f**5/80 + f**4/48 + 5*f**2 + 1. Let w(k) be the second derivative of r(k). Factor w(s).
s*(s - 1)*(7*s - 2)/4
Let p(w) be the second derivative of 3*w**7/112 - 67*w**6/40 - 137*w**5/40 - 23*w**4/12 - 2*w + 2. Suppose p(m) = 0. Calculate m.
-2/3, 0, 46
Let g(w) be the third derivative of w**10/201600 - w**8/26880 + 7*w**5/30 - 13*w**2. Let a(s) be the third derivative of g(s). Suppose a(v) = 0. Calculate v.
-1, 0, 1
Let u(g) = -25*g**4 - 62*g**3 - 391*g**2 - 721*g - 384. Let m(y) = -3*y**4 - 8*y**3 - 49*y**2 - 90*y - 48. Let t(h) = -51*m(h) + 6*u(h). Factor t(x).
3*(x + 1)*(x + 3)*(x + 4)**2
Suppose 4*y - 13 = u, 0 = 3*y - 8*y + 25. Let l(g) = -15*g**2 - 15*g. Let s(d) = 22*d**2 + 23*d. Let f(c) = u*l(c) + 5*s(c). Factor f(b).
5*b*(b + 2)
Solve -28/15 - 2/15*k**3 + 18/5*k - 8/5*k**2 = 0 for k.
-14, 1
Suppose 5*n - 13*n = -80. Factor b**2 - 4 - b**3 - 7*b**2 - n*b + b.
-(b + 1)**2*(b + 4)
Let w = -6600 - -6602. Suppose 4/9 + 2/9*x**w + 2/3*x = 0. Calculate x.
-2, -1
Let q(h) = -h**4 + 7*h**3 - 22*h**2 + 18*h + 2. Let g(t) = -3*t**4 + 20*t**3 - 65*t**2 + 55*t + 7. Let u(w) = -6*g(w) + 21*q(w). Factor u(c).
-3*c*(c - 4)**2*(c - 1)
Let l(n) = -n + 5. Let w be l(-7). Suppose 2*s - 3*d - w = 0, 4*s + 0*s - d - 4 = 0. Factor -8 + s*y**3 + 32*y - 4*y**3 - 20*y.
-4*(y - 1)**2*(y + 2)
Let o be (12/(-18))/(2/(-6)). Suppose m = o*m - 37. Solve m*a + 4*a**5 - 37*a - 4*a**3 = 0.
-1, 0, 1
Let w(y) be the first derivative of -y**6/720 + y**5/180 - 5*y**2 + 12. Let s(x) be the second derivative of w(x). Factor s(a).
-a**2*(a - 2)/6
Let d = 103 - 100. Let 2*b**2 + b**3 + d*b**3 + 0*b**3 - 6*b**3 - 2*b**4 + 2*b**5 = 0. What is b?
-1, 0, 1
Let z be 11 + -9 - 1*1*3. Let v(y) = -5*y - 3. Let r be v(z). Solve -1/6*s**4 + 0*s + 0*s**3 + 0 + 0*s**r = 0 for s.
0
Let l = 11497/9 + -1277. Suppose -l*v + 2/9*v**2 + 4/9*v**3 + 0 - 2/9*v**4 = 0. What is v?
-1, 0, 1, 2
Suppose 2*z + 2*w = 268, -4*z = -2*w + w - 536. Let t = 246 - z. Suppose 2*q**3 + q**4 - t*q**2 + 112*q**2 = 0. Calculate q.
-2, 0
Let k(u) = 11*u**4 + 12*u**3 - 37*u**2 + 24*u + 5. Let l(d) = 5*d**4 + 6*d**3 - 19*d**2 + 12*d + 2. Let i(g) = 2*k(g) - 5*l(g). Determine a so that i(a) = 0.
-4, 0, 1
Let c be -1 + (1 - 1 - -4). Let d(y) = -9*y - 117. Let p be d(-14). Suppose -4*a**2 + p*a**c - 3*a**4 + 4*a + a - 5*a**2 - 2*a = 0. Calculate a.
0, 1
Let -31/2*s**2 - 1/2*s**4 + 15/2*s + 0 + 17/2*s**3 = 0. Calculate s.
0, 1, 15
Suppose 7*g = 2*g - 75. Let v be -1 - (g/(-5) - 4). Suppose 1/3*d**3 + v*d - 1/3*d**2 + 0 = 0. Calculate d.
0, 1
Let h(o) be the second derivative of -5*o**7/42 + 19*o**5/4 + 85*o**4/6 - 10*o**3 - 100*o**2 - o + 6. Find y such that h(y) = 0.
-2, 1, 5
Let o = 61 + -61. Factor -51*i + 3*i**2 - 8*i**2 + 23*i**3 - 18 + o*i**4 - 5*i**4.
-(i - 3)**2*(i + 1)*(5*i + 2)
Factor 0 + 80/3*z**4 - 716/9*z**3 - 98/9*z - 560/9*z**2 - 2*z**5.
-2*z*(z - 7)**2*(3*z + 1)**2/9
Let m(u) be the second derivative of u**5 + 2*u**4 + 2*u**3/3 + 2*u - 76. Factor m(f).
4*f*(f + 1)*(5*f + 1)
Let i(h) be the second derivative of -h**6/180 + h**5/120 + h**4/4 - 5*h**3/3 - 5*h. Let u(r) be the second derivative of i(r). Suppose u(o) = 0. What is o?
-3/2, 2
Let s be (-2 - (-3 + 2)) + -1. Let j = s + 3. Factor -2 + 7 + 28*l**2 + 15*l - 2 - j.
(4*l + 1)*(7*l + 2)
Suppose -392 = -3*r + 58. Let d be -3 - 6/((-252)/r). Suppose -32/7*b - 64/7 - d*b**2 = 0. What is b?
-4
Suppose -8*w**3 + 8*w**3 + 6*w**3 + w**5 + 5*w**4 = 0. What is w?
-3, -2, 0
Determine c so that 0*c**4 - 20*c - 21*c**2 + 15*c**2 + 22*c**3 - 2*c**5 - 2*c**4 + 8*c**4 = 0.
-2, -1, 0, 1, 5
Let u(c) be the second derivative of 1/48*c**6 + 2/3*c**3 + 6*c + 1/4*c**4 - 3/20*c**5 - 1/2*c**2 + 0. Let p(j) be the first derivative of u(j). Factor p(l).
(l - 2)**2*(5*l + 2)/2
Let s(j) be the third derivative of j**8/1176 - 2*j**7/735 - j**6/140 + 37*j**2 - 1. What is q in s(q) = 0?
-1, 0, 3
Let u be 92*(2 + (-3)/(-6) - 2). Let r be (-4)/6 - u/(-42). Factor r + 3/7*k**2 - 6/7*k.
3*(k - 1)**2/7
Let m(d) = 10*d - 57. Let q be m(6). Factor -27*o**4 - 12*o**2 + 37*o**4 + 40*o + 16 - 39*o**q + 13*o**3.
2*(o - 2)**2*(o + 1)*(5*o + 2)
Let b(t) be the third derivative of 1/40*t**6 - 7/20*t**5 + 8*t**3 - 9*t**2 + 0*t + 0 + t**4. Factor b(k).
3*(k - 4)**2*(k + 1)
Let f = -60 + 20. Let q be 4/(f/(-23)) - 6/4. Factor 2/5 - 2/5*b - 2/5*b**5 - q*b**2 + 4/5*b**3 + 2/5*b**4.
-2*(b - 1)**3*(b + 1)**2/5
Let q(g) be the third derivative of 0*g + 0 - 3*g**2 - 1/480*g**6 + 1/60*g**5 - 1/6*g**3 + 1/96*g**4. Find o, given that q(o) = 0.
-1, 1, 4
Suppose 6*w + 5 = 23. Find r, given that 0*r**4 - 3/2*r**5 + 3*r**w + 0 + 0*r**2 - 3/2*r = 0.
-1, 0, 1
Let k be 4/(4*(-5)/(-30)). Let b(p) be the first derivative of 7 + 1/2*p**2 + 4/3*p**3 + 4/5*p**5 + 1/6*p**k + 0*p + 3/2*p**4. Factor b(u).
u*(u + 1)**4
Let s(w) be the second derivative of w**7/210 + w**6/75 - w**5/25 - 2*w**4/15 + 297*w. Let s(k) = 0. Calculate k.
-2, 0, 2
Let h = -31 + 43. Let 12*r - 4*r**4 - 6*r + r + 12*r**3 - 3*r - h*r**2 = 0. What is r?
0, 1
Let s = -2081 - -4245/2. Let f = s - 41. Factor 5/4*z**4 + f*z**3 - 1/2*z + 0 - 5/4*z**2.
z*(z - 1)*(z + 1)*(5*z + 2)/4
Let v(x) be the second derivative of 5*x**7/42 + x**6/6 - 3*x**5/4 - 5*x**4/12 + 5*x**3/3 - 11*x - 3. Factor v(w).
5*w*(w - 1)**2*(w + 1)*(w + 2)
Suppose -11 = 5*p - 21. Let j(c) be the third derivative of 0*c**4 + 1/150*c**5 - 4*c**p + 0*c + 0 - 1/15*c**3. Let j(d) = 0. Calculate d.
-1, 1
Suppose 3*j - 4*i - 41 = 3, j - 13 = 3*i. Suppose 5*o + j = -0*f + 3*f, f = -o. Factor -18/5 + 12/5*x - 2/5*x**f.
-2*(x - 3)**2/5
Let a(x) be the third derivative of -13/40*x**6 - 1/4*x**4 + 11/20*x**5 + 0 + 2/35*x**7 + 0*x**3 + 7*x**2 + 0*x. Solve a(o) = 0.
0, 1/4, 1, 2
Let k be -3*(-4 - (0 + -2)). Let r be (-3)/k*-3*2. What is z in 0*z**2 + 2*z - 4 - z**2 - 2*z**r + 5*z**2 = 0?
-1, 1, 2
Let g(a) be the third derivative of -a**6/600 - 7*a**5/300 - a**4/20 - 58*a**2. Factor g(u).
-u*(u + 1)*(u + 6)/5
Let p(t) be the third derivative of -t**5/60 - t**4/3 - 5*t**3/2 + 3*t**2 - 21*t. Factor p(c).
-(c + 3)*(c + 5)
Let u(c) be the third derivative of c**6/32 + 3*c**5/10 + 25*c**4/32 - 3*c**3/4 - 4*c**2 + 10. Factor u(n).
3*(n + 2)*(n + 3)*(