t n(z) = -5*z - 25. Let h be n(-5). Let q(b) be the second derivative of h*b**2 + 1/18*b**3 + 1/90*b**6 - 1/60*b**5 + 0 - 1/36*b**4 + b. Factor q(f).
f*(f - 1)**2*(f + 1)/3
Let s be ((-51)/(-136))/(6/8). Factor -s - 1/2*r**2 + r.
-(r - 1)**2/2
Let u(c) be the third derivative of -c**6/780 + 28*c**5/195 - 196*c**4/39 + 21*c**2 - 3. Factor u(g).
-2*g*(g - 28)**2/13
Let d(z) = 3*z**2 + 12*z + 6. Let j be d(-8). Let p be 3 + j/(-45) + 4/(-10). Suppose p*r**3 + 0 + 1/3*r + 2/3*r**2 = 0. Calculate r.
-1, 0
Let q = -7 - -9. Suppose -q*m + 4*m - 6 = 0. Determine f so that 7*f**4 + 9*f**3 + 2*f**4 + m*f**5 + 0*f**4 + 3*f**2 = 0.
-1, 0
Let l(p) be the first derivative of p**3/18 - 29*p**2/6 + 841*p/6 - 107. Solve l(g) = 0 for g.
29
Find f such that 0 - 1/2*f**3 + 0*f - 21/2*f**2 = 0.
-21, 0
Let l(a) be the third derivative of 12*a**2 + 0*a**6 - 1/280*a**7 + 1/16*a**4 + 0*a + 3/80*a**5 + 0*a**3 + 0. Find c, given that l(c) = 0.
-1, 0, 2
Suppose 4*a + 62*v = 61*v + 3, -3*v + 9 = a. Factor 108/7*y + 3/7*y**3 + a - 36/7*y**2.
3*y*(y - 6)**2/7
Let n(t) be the third derivative of -t**9/113400 + t**4/24 - 4*t**2. Let i(d) be the second derivative of n(d). Solve i(s) = 0 for s.
0
Let n = -1581 + 1581. Factor 12/7*u - 12/7*u**2 + 3/7*u**3 + n.
3*u*(u - 2)**2/7
Let n(o) be the second derivative of 1/50*o**5 + 0 + 1/75*o**6 + 0*o**2 + 8*o + 0*o**4 + 0*o**3. Factor n(g).
2*g**3*(g + 1)/5
Let n(t) be the first derivative of 1/4*t**4 + 2*t**3 + 6 + 8*t + 6*t**2. Factor n(p).
(p + 2)**3
Let k be (-2 + 216/32)/(1/4). Factor -12*t + 4*t - t**3 + 17*t**2 - k*t**2 + 2*t**3.
t*(t - 4)*(t + 2)
Let n(o) = -4*o - 46. Let w be n(-12). Suppose s**3 - 37*s**w - 5*s + 8*s**2 + 18*s**2 + 10*s**2 - 3 = 0. Calculate s.
-1, 3
Let j(d) be the first derivative of -d**4/18 + 52*d**3/27 + 55*d**2/9 + 56*d/9 - 87. Find y such that j(y) = 0.
-1, 28
Let x(c) be the second derivative of -c**4/6 - 10*c**3/3 + 11*c**2 + 11*c - 2. Let x(n) = 0. What is n?
-11, 1
Let z = -6 - -6. Let k = 5 - z. Factor -5*t + t + 2*t**2 - 2 + k*t - t**3.
-(t - 2)*(t - 1)*(t + 1)
Let x(q) = -5*q - 8. Let k be x(0). Let u be (k/(-28))/((-1)/(-2)). Suppose 4/7*f**4 - 2*f - 2*f**5 - 8/7*f**2 + u + 4*f**3 = 0. What is f?
-1, 2/7, 1
Let t = 224 - 222. Let b(a) be the third derivative of 0*a + 0*a**4 + 0 - 2*a**3 + 1/20*a**5 - 6*a**t. Find z, given that b(z) = 0.
-2, 2
Let d(g) be the first derivative of -g**4/12 + 4*g**3/9 - g**2/6 - 2*g - 187. Find n such that d(n) = 0.
-1, 2, 3
Let h(y) be the first derivative of y**4/16 - y**3/6 + y**2/8 - 22. Suppose h(m) = 0. What is m?
0, 1
Suppose -650*d + 0 - 2/13*d**3 - 20*d**2 = 0. What is d?
-65, 0
Let d(h) be the first derivative of -h**6/120 + h**5/120 + h**4/12 - 2*h**3/3 + 9. Let a(m) be the third derivative of d(m). Factor a(x).
-(x - 1)*(3*x + 2)
Suppose 4*g + 4 = 96*q - 94*q, -3*g - 3 = -q. Find t such that 1/3*t**3 + q - 1/3*t**2 - 2/3*t = 0.
-1, 0, 2
Let x(k) be the first derivative of -8*k**5 - 15*k**4/4 + 40*k**3/3 + 15*k**2/2 - 223. Factor x(c).
-5*c*(c - 1)*(c + 1)*(8*c + 3)
Let k = -77 - -81. Factor -k*l - 23*l + 5*l**2 + 2*l.
5*l*(l - 5)
Let d be (-748)/(-3432) + ((-320)/156 - -2). Find t such that d*t**4 + 0 + 0*t + 1/6*t**2 + 1/3*t**3 = 0.
-1, 0
Find n such that -18/11*n - 28/11 - 2/11*n**2 = 0.
-7, -2
Let p = 17/4 + -4. Let s = 17 + -17. Factor 1/4*a + s - p*a**2.
-a*(a - 1)/4
Let p(d) = 7*d + 9 - 3*d**2 + 0*d**2 + 0*d**2 - d**3. Let s be p(-5). Solve 27*q**4 - 6*q**2 + s*q**3 - 5 + 5 + 10*q**2 = 0 for q.
-2/3, -2/9, 0
Let b(y) be the second derivative of 1/42*y**4 + 2*y + 0*y**2 - 1/21*y**3 + 0. Factor b(m).
2*m*(m - 1)/7
Let d(c) = 8*c - 2. Let z be d(2). Let n be 24/z + (-12)/(-42). Determine g, given that 0 - 1/2*g**n + 1/2*g = 0.
0, 1
Let t(a) = -65*a + 11. Let k be t(-3). Let p = -1022/5 + k. Determine w so that -p*w + 2/5*w**2 + 6/5 = 0.
1, 3
Let p(w) = 9*w**2 + w - 6. Let s be p(-3). Solve -27*h**2 + 4 + 1200*h**3 + s*h - 1197*h**3 - 52 = 0 for h.
1, 4
Let d(p) = 3*p**5 + 11*p**4 - 4*p**2 - 4. Let o(g) = -21*g**5 - 78*g**4 + 27*g**2 + 27. Let h(c) = 27*d(c) + 4*o(c). Factor h(a).
-3*a**4*(a + 5)
Let w be -2*6/21 + 23/28. Let p(j) be the second derivative of 0*j**2 + 1/20*j**6 + 0 + 3/40*j**5 - w*j**3 - 1/8*j**4 + j. What is u in p(u) = 0?
-1, 0, 1
Let b(n) be the third derivative of -n**7/1995 - n**6/228 - 2*n**5/285 - 15*n**2. Factor b(i).
-2*i**2*(i + 1)*(i + 4)/19
Let d(j) be the first derivative of -5*j**3/6 + 20*j**2 + 108. Let d(p) = 0. What is p?
0, 16
Factor 4/3*o - 2/3 - 2/3*o**2.
-2*(o - 1)**2/3
Let v(q) = q**2 + q + 1. Let o = -39 - -40. Let b(l) = 5*l**3 - 5*l**2 - 10*l - 5. Let a(s) = o*b(s) + 5*v(s). Solve a(n) = 0 for n.
-1, 0, 1
Factor z**2 + 2*z**2 - 40*z - 2*z**3 + 40*z - z**2.
-2*z**2*(z - 1)
Suppose 6962/9 - 236/9*h + 2/9*h**2 = 0. Calculate h.
59
Let f(m) be the third derivative of m**8/420 + m**7/70 + m**6/30 + m**5/30 - 25*m**3/6 - 15*m**2. Let x(v) be the first derivative of f(v). Factor x(b).
4*b*(b + 1)**3
Let k = -57027/1345 + -1/1345. Let x = -42 - k. Find p, given that 1/5*p + 1/5*p**3 + 0 + x*p**2 = 0.
-1, 0
Suppose -5*x + 7*x = 21*x. Let d(v) be the second derivative of 3*v + x*v**2 + 0 - 1/30*v**5 + 1/9*v**3 + 0*v**4. Factor d(y).
-2*y*(y - 1)*(y + 1)/3
Factor 0*n**3 - 26 - 8*n + 14*n**2 - n**3 - 23*n + 20*n.
-(n - 13)*(n - 2)*(n + 1)
Let u = -9 + 15. Let s be (-21)/u*4/(-7). Solve -7*q**3 - s*q**2 - 3*q - 5*q**3 + 9*q**3 + 8*q**2 = 0.
0, 1
Let h(t) be the first derivative of 4*t**3/3 - 20*t**2 - 156*t - 247. Factor h(l).
4*(l - 13)*(l + 3)
Let a(p) be the third derivative of 1/24*p**5 + 3*p**2 + 5/24*p**4 + 0*p + 0*p**3 + 0. What is z in a(z) = 0?
-2, 0
Let x(z) be the second derivative of z**7/630 - 13*z**6/720 + z**5/40 - z**4 + 16*z. Let h(q) be the third derivative of x(q). Solve h(v) = 0 for v.
1/4, 3
Let x = -29 + 33. Factor n + 20*n**2 + 2*n + x*n**3 - 3*n.
4*n**2*(n + 5)
Let u(i) be the first derivative of -15/2*i**2 + 1 - 5*i - 5*i**3 - 5/4*i**4. Factor u(b).
-5*(b + 1)**3
Let l be 1/(-4) - (-39)/12. Suppose 0 = -3*j - l + 12. Factor c**2 + j + 3 + 0*c**2 + 15*c + 8*c**2.
3*(c + 1)*(3*c + 2)
Let x(d) be the second derivative of 0*d**3 - 1/5*d**5 + 0 - 1/3*d**4 + 35*d + 0*d**2. Let x(k) = 0. What is k?
-1, 0
Let h(m) be the first derivative of -m**7/960 - m**6/960 + 7*m**5/960 + m**4/64 - 6*m**3 + 25. Let c(d) be the third derivative of h(d). Factor c(f).
-(f - 1)*(f + 1)*(7*f + 3)/8
Let g(p) = -p**2. Let w(f) = 3*f**2 + 4. Let d(k) = 2*g(k) + w(k). Let l be d(0). Factor q + 5*q - 4*q**5 - 4*q**3 + 2*q**5 - 33*q**l + 27*q**4 + 2 + 4*q**2.
-2*(q - 1)*(q + 1)**4
Find z, given that -21/2 - 51/4*z**3 - 9/4*z**4 + 99/4*z**2 + 99/4*z = 0.
-7, -1, 1/3, 2
Let d be 9*(57/18 - 3). Determine i, given that 1/2*i**2 + d*i + 0 = 0.
-3, 0
Suppose -35*h - 45*h + 160 = 0. Find w such that -12/7 - 4/7*w + 16/7*w**h = 0.
-3/4, 1
Solve -11*v**3 + 22*v**4 + 3*v**5 + 3*v + 51*v**3 + 2*v + 26*v**2 = 0.
-5, -1, -1/3, 0
Suppose -44/5*o**2 + 56/5*o - 16/5 + 2*o**3 = 0. What is o?
2/5, 2
Let o(a) be the first derivative of a**4/60 - a**3/15 - 3*a**2/10 - 19*a - 7. Let y(x) be the first derivative of o(x). Suppose y(g) = 0. What is g?
-1, 3
Let o(z) be the second derivative of 0 - 1/40*z**5 + 0*z**3 + 1/24*z**4 + 2*z**2 - 4*z. Let b(j) be the first derivative of o(j). Factor b(x).
-x*(3*x - 2)/2
Let y(w) be the third derivative of w**8/336 + 61*w**7/210 + 167*w**6/24 - 2881*w**5/60 + 376*w**4/3 - 512*w**3/3 - w**2 - 71*w. Solve y(x) = 0 for x.
-32, 1
Let y(h) be the third derivative of 0*h**3 + 0 - 12*h**2 + 1/210*h**7 + 0*h**4 - 1/15*h**5 + 0*h**6 + 0*h. What is p in y(p) = 0?
-2, 0, 2
Let s(w) be the second derivative of 49*w**7/4 - 1911*w**6/10 + 3339*w**5/5 + 1198*w**4 + 732*w**3 + 216*w**2 - 113*w. Determine q, given that s(q) = 0.
-2/7, 6
Suppose 350 = -3*o - 2*o. Let d = 212/3 + o. Factor d*k**2 + 2*k + 4/3.
2*(k + 1)*(k + 2)/3
Let d(v) be the third derivative of v**5/90 + v**4/6 + 66*v**2. Let d(z) = 0. Calculate z.
-6, 0
Suppose -2*n = -2*k + 14, 4*k = -3*n - n + 36. Suppose -k*g = -10*g + 4. Factor 5/2*u**g - 3/2*u**3 - 1/2 - 1/2*u.
-(u - 1)**2*(3*u + 1)/2
Let g(r) = -r**5 - 14*r**3 + r**2 + 9*r + 8. Let q(y) = -y**5 + 2*y**4 - 15*y**3 + 2*y**2 + 8*y + 8. Let z(d) = 4*g(d) - 3*q(d). Factor z(n).
-(n - 1)*(n + 1)*(n + 2)**