(c) be the first derivative of -c**4 + 34*c**3/3 - 20*c**2 + 2*c - 11. Let p(m) be the first derivative of a(m). What is t in p(t) = 0?
2/3, 5
Factor -2*s**2 + 324/7*s - 46/7.
-2*(s - 23)*(7*s - 1)/7
Let k(t) be the third derivative of -t**7/105 - 7*t**6/120 + 3*t**5/4 - 4*t**4/3 - 14*t**3/3 + 5*t**2 - 24. Find g, given that k(g) = 0.
-7, -1/2, 2
Let w(b) be the second derivative of b**4/72 - 11*b**3/18 + 19*b**2/4 + b + 110. Factor w(q).
(q - 19)*(q - 3)/6
Factor 28*d**4 - 2*d**5 + 10*d**5 - 4*d**5 - 184*d**2 - 43 + 260*d - 57 - 8*d**3.
4*(d - 1)**3*(d + 5)**2
Let p = -30665 - -30667. Determine o, given that 2/3*o**3 - 8/3*o + 0 + 2*o**p = 0.
-4, 0, 1
Factor 0*j**2 - 230 + 80*j - 5*j**2 - 180 + 90.
-5*(j - 8)**2
Let r(a) be the third derivative of -a**5/15 - a**4 + 80*a**3/3 - 8*a**2 - 11*a. Factor r(d).
-4*(d - 4)*(d + 10)
Let h = 17 - 13. Let b = 6 - h. Let -7*w**4 + 12*w**3 - 5*w**2 - 2*w - 6*w**b + 8*w**2 = 0. What is w?
-2/7, 0, 1
Let p(k) be the first derivative of k**3/9 + 11*k**2/3 + 7*k + 138. Let p(o) = 0. Calculate o.
-21, -1
Let s be (-1485)/(-132)*(-1)/(-6). Let u(d) be the first derivative of -4 + 3/4*d + 5/2*d**3 + 1/8*d**6 + 3/4*d**5 + s*d**2 + 15/8*d**4. Factor u(b).
3*(b + 1)**5/4
Let d(h) be the second derivative of -h**4/6 + 11*h**3/3 - 10*h**2 - h - 51. Let d(q) = 0. Calculate q.
1, 10
Let n = -45 + 125. Let v be ((-2)/8 + (-12)/n)*-5. Factor 0 - 2/5*u**3 - 6/5*u**v - 4/5*u.
-2*u*(u + 1)*(u + 2)/5
Let f = 39 + -27. Suppose -3*t - 3 = -f. Let 4*r**3 - t*r**4 + 2*r**5 - r**5 - 4*r**2 + 2*r**3 - r**4 + r = 0. What is r?
0, 1
Let u be 9/((-1)/(-1) - (2 + -3)). Let p(x) be the first derivative of 2*x**2 + 1/3*x**6 - 12 + 0*x + u*x**4 - 2*x**5 - 14/3*x**3. Factor p(d).
2*d*(d - 2)*(d - 1)**3
Let k(b) = 2*b**2 + 11*b + 1. Let f be k(-5). Let v be 1165/300 + f/60*2. Factor -3*s - v*s**2 + 25/2*s**3 + 1.
(2*s + 1)*(5*s - 2)**2/4
Let n = -132 - -135. What is g in 290*g**4 + g**5 + 0*g**5 + 0*g**n - 289*g**4 - 2*g**3 = 0?
-2, 0, 1
Let 2 + 451*m - 228*m - 224*m - m**2 = 0. What is m?
-2, 1
Determine a, given that 14*a - a**2 - 32*a + 5*a**2 - 58*a + 72 = 0.
1, 18
Let h = -9 + 5. Let p be h*(3 + -2) + 6. Determine g so that 13*g - 2*g**2 - p - 5 - 5*g - 1 = 0.
2
Determine k so that -1/2*k**4 - 72 - 48*k + 4*k**3 + 4*k**2 = 0.
-2, 6
Let 21/5*b**2 - 3/5*b**3 - 45 + 3*b = 0. Calculate b.
-3, 5
Let j(z) be the second derivative of 1/12*z**4 + 2*z**2 + 1/30*z**5 + 0 + 4*z - 2/3*z**3. Let y(l) be the first derivative of j(l). Find a such that y(a) = 0.
-2, 1
Let d(i) = i - 1. Let f = -27 + 28. Let g(c) = 2*c**4 - 4*c + 4. Let w(k) = f*g(k) + 4*d(k). Factor w(h).
2*h**4
Factor -24/7 + 8/7*t**2 - 94/7*t.
2*(t - 12)*(4*t + 1)/7
Let l be (7 + 770/(-108))*4/(-7). Let q(v) be the first derivative of -l*v**3 + 0*v - 1/3*v**2 + 14. Determine b so that q(b) = 0.
-3, 0
Let z(i) be the third derivative of 0*i**3 + 0 - 12*i**2 - 1/72*i**4 - 1/120*i**5 + 0*i. Factor z(q).
-q*(3*q + 2)/6
Let g(j) be the second derivative of j**4/6 - 170*j**3/3 + 7225*j**2 + 443*j. Factor g(y).
2*(y - 85)**2
Factor -w + 1/2*w**2 - 3/2.
(w - 3)*(w + 1)/2
Let r(v) be the second derivative of v**7/14 + 13*v**6/10 - 243*v**5/20 + 155*v**4/4 - 62*v**3 + 54*v**2 - 316*v. Factor r(d).
3*(d - 2)*(d - 1)**3*(d + 18)
Let z(k) = 8*k + 58. Let f be z(-7). Factor 11*c**f + 7 - 6*c**2 - 2*c**2 + 18*c + 17.
3*(c + 2)*(c + 4)
Suppose 2*w = -2*h - 2, 3 = w + 2*h + 7. Suppose i = 3*i + 3*x - 30, 0 = 4*i + w*x - 60. Suppose 0*v - 19 - v**2 - 4*v + 0*v**2 + i = 0. Calculate v.
-2
What is n in -486/13 + 36/13*n**3 + 108/13*n**2 - 162/13*n - 2/13*n**5 - 6/13*n**4 = 0?
-3, 3
Find z such that 1/2*z**5 + 188*z**3 + 17*z**4 + 784 + 1288*z + 760*z**2 = 0.
-14, -2
Let p(r) = 3*r + 4. Let n be p(-6). Let g(f) = f**4. Let x(d) = -8*d**4 - 2*d**3 - d**2. Let l(a) = n*g(a) - 2*x(a). Factor l(h).
2*h**2*(h + 1)**2
Let o(w) be the second derivative of 0 + 0*w**2 - 4*w - 5/12*w**4 - 5/6*w**3. Let o(y) = 0. Calculate y.
-1, 0
Suppose -175*s = -169*s - 18. Find a such that -6/7*a**4 + s*a**3 + 15/7*a**2 + 0 - 12/7*a = 0.
-1, 0, 1/2, 4
Suppose 13*d - 6*d = -259. Let k = d + 37. Factor k - 5/3*w**3 + 7/3*w**4 + 0*w - 2/3*w**2.
w**2*(w - 1)*(7*w + 2)/3
Let b(l) be the first derivative of l**6/72 + 13*l**5/12 + 845*l**4/24 - 13*l**3/3 - 43. Let z(r) be the third derivative of b(r). Factor z(d).
5*(d + 13)**2
Factor 2*o**2 + 1/3*o**3 + 3*o + 0.
o*(o + 3)**2/3
Factor 29191*q + 430337 + 3257*q + 4*q**3 + 132095 + 624*q**2.
4*(q + 52)**3
Let s(q) be the third derivative of -q**8/1512 + 2*q**7/135 - 23*q**6/180 + 62*q**5/135 + 4*q**4/27 - 64*q**3/9 - 19*q**2. Solve s(t) = 0.
-1, 3, 4
Let k(c) be the second derivative of 0 + 3*c + 2/27*c**4 + 1/9*c**3 - 1/9*c**2. Find n, given that k(n) = 0.
-1, 1/4
Find r such that 11*r + 0*r - 21344*r**2 + 21346*r**2 + 5 = 0.
-5, -1/2
Let -4/3*x**2 + 4/3*x + 8/3 = 0. What is x?
-1, 2
Let y = 152 - 150. Let u(k) be the third derivative of -3*k**y + 0 - 1/6*k**4 - 1/3*k**3 + 0*k - 1/30*k**5. Find c, given that u(c) = 0.
-1
Let i be (-54)/(-8)*(-190)/(-855). Factor 2*o - i - 2*o**3 + 1/2*o**4 + o**2.
(o - 3)*(o - 1)**2*(o + 1)/2
Factor 4*u + 8*u**3 - 1284*u**4 + 1285*u**4 - 3*u**3 + 8*u**2.
u*(u + 1)*(u + 2)**2
Let z = -2266/3 + 756. Let b(n) be the second derivative of 0 + 6*n - 2/3*n**3 + z*n**4 + 1/5*n**5 - 4*n**2. Let b(h) = 0. What is h?
-2, -1, 1
Let k(a) = 8*a**2 - 152*a + 3. Let d(c) = -90*c**2 + 1674*c - 34. Let n(g) = 6*d(g) + 68*k(g). Let n(t) = 0. Calculate t.
0, 73
Let z(n) = -n**3 + 6*n**2 - 12*n + 1. Let t(f) = -2*f**3 + 7*f**2 - 10*f + 1. Let s(m) = -6*t(m) + 4*z(m). Determine g, given that s(g) = 0.
1/4, 1
Suppose 5*c - q = -996, -22 = 3*c + 5*q + 570. Let o = c - -201. What is t in -1/2*t - 1/2*t**o + 1 = 0?
-2, 1
Let w(p) be the first derivative of p**3/2 + 27*p**2/2 + 48*p - 171. Solve w(h) = 0.
-16, -2
Let l be 132/55 - (-4)/(-10). Let d(s) be the third derivative of 0 - 1/240*s**5 + s**l - 1/8*s**3 + 0*s - 1/24*s**4. Factor d(c).
-(c + 1)*(c + 3)/4
Let l(y) be the second derivative of 1/170*y**5 + 0*y**2 - 18*y - 1/17*y**3 + 0 - 1/51*y**4. Determine f so that l(f) = 0.
-1, 0, 3
Let g(l) be the first derivative of -2*l**5/35 - 5*l**4/14 + 2*l**3/3 + 5*l**2/7 - 12*l/7 + 67. Determine d so that g(d) = 0.
-6, -1, 1
Solve -3*r**4 + 0 + 3*r**2 + 5/3*r - 4/3*r**5 - 1/3*r**3 = 0.
-5/4, -1, 0, 1
Let l be (-4)/(5 - 4)*-1. Factor b**2 - 6*b**3 - 4*b**4 + b**4 - l*b**2.
-3*b**2*(b + 1)**2
Let o = -475 - -744. Find k such that -18*k**4 - o*k**3 + 293*k**3 - 14*k**5 - 5*k**2 + 13*k**2 = 0.
-2, -2/7, 0, 1
Let r(q) = 11*q - 68. Let p be r(6). Let a be (-156)/(-52) - (-3)/p. Determine f so that 3*f**2 + 3/2*f**3 - a*f**4 + 0*f + 0 = 0.
-1, 0, 2
Let q(y) be the second derivative of y**7/21 + 7*y**6/75 - 13*y**5/50 - 11*y**4/30 + 8*y**3/15 + 4*y**2/5 + 205*y. Solve q(j) = 0.
-2, -1, -2/5, 1
Let c = -2440 + 17092/7. Factor -c*o**2 + 8/7*o + 4/7.
-4*(o - 1)*(3*o + 1)/7
Let o be (1 + (-12)/20)*70. Find v such that o*v**4 + 68*v + 2*v**4 + 112*v**2 + 2*v**4 - 14*v**3 + 16 + 4*v**5 + 102*v**3 = 0.
-4, -1
Let b(p) be the second derivative of -p**6/260 - 11*p**5/390 - p**4/26 - 11*p**2/2 + 19*p. Let n(w) be the first derivative of b(w). Factor n(d).
-2*d*(d + 3)*(3*d + 2)/13
Let s = 57/773 + 2807/3865. Suppose s*o**2 - 1/5*o**4 - 3/5 + 2/5*o - 2/5*o**3 = 0. Calculate o.
-3, -1, 1
Let m(i) be the second derivative of 3*i**7/14 - 31*i**6/2 + 1197*i**5/20 - 345*i**4/4 + 49*i**3 + 325*i. Determine a, given that m(a) = 0.
0, 2/3, 1, 49
Let x be (114/84)/19*72/6. Factor 6/7 - 12/7*t**3 + 9/7*t - x*t**2 + 0*t**4 + 3/7*t**5.
3*(t - 2)*(t - 1)*(t + 1)**3/7
Let g(h) = 2*h**2 + 3*h - 2. Let q be g(-3). Determine c so that -3*c**3 + 2*c**4 + q*c**2 - c**2 - 5*c**4 = 0.
-2, 0, 1
Let r(y) be the first derivative of 0*y + 1/4*y**4 - 16 + 3*y**3 + 4*y**2. Solve r(g) = 0 for g.
-8, -1, 0
Suppose 3*f - 10 = x, -x = 5*f + 6 - 28. Determine d so that -1/7*d + 0 + 1/7*d**3 + 0*d**x = 0.
-1, 0, 1
Let s be 2*4/(-14) - (-75)/21. Suppose d = 6*d - s*d. Factor 6/5*f - 3/5*f**2 + d.
-3*f*(f - 2)/5
Let l = -13371 + 13371. Factor -8/5*r**2 - 2/5*r**3 - 8/5*r + l.
-2*r*(r + 2)**2/5
Solve -1/2*n**2 - 5/2*n - 3 = 0.
-3, -2
Let g = -42 - -45. Find y such that 15*y**2 + 9*y**2 - 34*y**g - 4*y - 2*y**3 + 16*y**4 = 0.
0