*h**5 + 5*h**5 = 0. What is h?
-2, -1, 1
Let x(y) be the first derivative of -3*y**5/5 + 39*y**4/2 - 229*y**3 + 1170*y**2 - 2700*y - 121. What is f in x(f) = 0?
3, 10
Let 12*m + 0 - 3/4*m**3 + 0*m**2 = 0. Calculate m.
-4, 0, 4
Let o(r) = -8*r**3 + 54*r**2 + 96*r + 34. Let m(c) = -c**3 + 2*c + 1. Let b(d) = 4*m(d) - o(d). Factor b(p).
2*(p - 15)*(p + 1)*(2*p + 1)
Factor -2/3*a**2 + 0 - 116/3*a.
-2*a*(a + 58)/3
Let o be 1 + (-3 - -4) + 0. Factor -6*i**3 - 8 - 35*i + 25*i**o + 18 + i**3 + 5.
-5*(i - 3)*(i - 1)**2
Suppose -2*l = 5*w - 15, -2*l + 2 + 1 = w. Factor -3/2*g**2 + l + 0*g - 1/2*g**3.
-g**2*(g + 3)/2
Let y(d) = -4*d**2 + 80*d + 204. Let v(s) = -4*s**2 + 86*s + 204. Let c(u) = 4*v(u) - 5*y(u). Factor c(l).
4*(l - 17)*(l + 3)
Let m be (-6)/(-27) + (-34)/(-9). Let o(h) be the second derivative of 1/6*h**3 + 1/12*h**4 + 0 + m*h - h**2. Determine n so that o(n) = 0.
-2, 1
Factor -72313 + 72313 + 6*j**2 - j**3.
-j**2*(j - 6)
Let i(g) be the third derivative of g**6/24 - g**5/6 - 5*g**4/3 - 670*g**2. Find q, given that i(q) = 0.
-2, 0, 4
Find f such that -9/4 - 7/4*f**2 + 17/4*f - 1/4*f**3 = 0.
-9, 1
Let l(t) = -t**3 + 2*t**2 - t. Let g(n) = 12*n**3 + 96*n**2 + 144*n. Let z(j) = -g(j) - 15*l(j). Factor z(q).
3*q*(q - 43)*(q + 1)
Let x(h) be the first derivative of -5/2*h**5 + 23/6*h**3 + h + 9 - 15/8*h**4 + 15/4*h**2. Suppose x(c) = 0. What is c?
-1, -2/5, -1/5, 1
Let d(l) = 2*l - 3*l + 3 + l**2 - 7 + 7. Let z(n) = 5*n**2 - 5*n + 13. Let c(p) = 26*d(p) - 6*z(p). Factor c(i).
-4*i*(i - 1)
Factor 2*c**4 - 14*c**3 + 26*c - 6*c - 20*c**2 + 0*c**4 + 4*c + 8*c.
2*c*(c - 8)*(c - 1)*(c + 2)
Let i be (2/(-12))/(1/(-2)). Factor -1/6*l**2 - i*l + 1/6*l**3 + 0.
l*(l - 2)*(l + 1)/6
Suppose 3*a + 6 = 33. Let q = a - 7. Suppose -4*p**q + p**3 + 5 + 4*p - 5 = 0. Calculate p.
0, 2
Let n(l) = l**3 + 9*l**2 + 8*l + 8. Let g be n(-8). Let t be 1/(g/12)*2. Factor -q**5 - q**4 - q**t + q**2 - q**2 + q**2 - 2*q + 4*q**3.
-q*(q - 1)**2*(q + 1)*(q + 2)
Factor -2*k**3 - 8*k**2 + 2343 + 8*k**4 + 2*k - 2343.
2*k*(k - 1)*(k + 1)*(4*k - 1)
Let r(p) be the first derivative of p**3 + 111*p**2/2 + 108*p + 108. Let r(j) = 0. Calculate j.
-36, -1
Let g(f) be the third derivative of -f**8/504 - f**7/315 + f**6/36 - f**5/30 - 82*f**2. Factor g(d).
-2*d**2*(d - 1)**2*(d + 3)/3
Let -16*l**4 - 51*l + 0*l**4 + 25*l - 16*l**3 + 26*l - 4*l**5 = 0. What is l?
-2, 0
Let a(c) = 14*c**4 - 4*c**2 - 18*c - 4. Let w(y) = -y**5 - y**4 - 2*y**3 + 2*y**2. Let t(i) = a(i) - 6*w(i). Find l, given that t(l) = 0.
-2, -1, -1/3, 1
Let j(l) be the first derivative of 7*l**5/5 + 5*l**4/2 - 4*l**3 - 5*l**2 + 13*l + 27. Let w(a) = -a**4 - a**3 + a - 1. Let t(q) = -j(q) - 4*w(q). Factor t(s).
-3*(s - 1)**2*(s + 1)*(s + 3)
Let d(r) be the third derivative of r**8/112 + r**7/14 + r**6/10 + 30*r**2 - 2*r. What is l in d(l) = 0?
-4, -1, 0
Let w = 11 + -9. Factor 2*v**5 - 12*v**3 + 84*v**2 - 84*v**w - 2*v**4.
2*v**3*(v - 3)*(v + 2)
Suppose -6*y + 27 = 3. Factor -2*z + z**2 - z**4 - z**3 + y*z**2 + 3*z - 4*z**2.
-z*(z - 1)*(z + 1)**2
Let z(n) be the third derivative of n**6/60 + 4*n**5/5 + 12*n**4 + 17*n**2 + 7*n. Determine m, given that z(m) = 0.
-12, 0
Suppose 6 = -2*t, t - 1 = w - 3*w. Solve -21 + 3*f + 18*f - 3*f + 3*f**w = 0 for f.
-7, 1
Let w(p) be the second derivative of 3*p**5/20 - 7*p**4/4 - 7*p**3 + 72*p**2 + 4*p - 30. Factor w(d).
3*(d - 8)*(d - 2)*(d + 3)
Let n be -7 + 5 + 12/6. Let m(z) be the second derivative of 8/3*z**3 + 8/7*z**2 + n + 7/3*z**4 + z. Factor m(r).
4*(7*r + 2)**2/7
Determine v so that 0 + 3/5*v**2 + 12/5*v = 0.
-4, 0
Suppose -3*q + 3*w - 9 = 0, 2*w + 7 - 15 = q. Determine c so that -10*c**q - 15/2*c**3 + 45/4 - 5/4*c**4 + 15/2*c = 0.
-3, -1, 1
Let j be (4 - 0)/2*1. Suppose 5*w - 8 = 3*w. Factor -f + 12*f**2 - j*f**2 + 2*f**2 + 9*f + w*f**3.
4*f*(f + 1)*(f + 2)
Let h = -50 + 79. Let o = 52 - h. Factor -12*j - 11 + o - 4*j**2 - 12.
-4*j*(j + 3)
Let t be (-2)/2*2 + 13104/5460. Find g such that 0 - 7/5*g**4 - g**5 + 7/5*g**2 + t*g + 3/5*g**3 = 0.
-1, -2/5, 0, 1
Solve -4*w**3 + 11/3*w + 4/3*w**4 - 34/3*w**2 + 1/3*w**5 + 10 = 0.
-5, -2, -1, 1, 3
Let q(f) = -8*f**2 + 5*f + 11. Let b(r) = 3*r**2 - 2*r - 4. Let v be (-12)/(3 + -6) - 0. Let a(g) = v*q(g) + 11*b(g). Factor a(d).
d*(d - 2)
Let x(z) be the third derivative of z**7/1400 - 3*z**5/200 + z**4/20 + 11*z**3/3 - 30*z**2. Let q(i) be the first derivative of x(i). Factor q(m).
3*(m - 1)**2*(m + 2)/5
Let z = 5771/5 - 11493/10. Factor 1/10*f**2 - 7/5*f + z.
(f - 7)**2/10
Let d(p) be the third derivative of -p**5/180 - p**4/6 - 16*p**3/9 + 173*p**2. What is g in d(g) = 0?
-8, -4
Let m(h) = -h**3 - 4*h**2 - 2*h - 1. Let q be m(-4). Factor 17 + 3*g**3 + q + 18*g**2 + 38*g - 2*g.
3*(g + 2)**3
Let o(v) be the first derivative of 9/4*v**2 - 6/5*v**5 - 9/8*v**4 + 1 + 0*v + 2*v**3. Solve o(k) = 0.
-1, -3/4, 0, 1
Let o(m) be the third derivative of 7/24*m**4 - 3/20*m**5 + 0*m + 0 - 23*m**2 - 1/210*m**7 + 1/24*m**6 - 1/3*m**3. Factor o(x).
-(x - 2)*(x - 1)**3
Let v(w) be the third derivative of w**7/630 - w**5/36 + 2*w**3/9 + 5*w**2 + 11*w. Determine g, given that v(g) = 0.
-2, -1, 1, 2
Factor -552*g**3 + 3*g + 4*g**4 - 44*g**2 + 512*g**3 - 3*g.
4*g**2*(g - 11)*(g + 1)
Let g(t) be the second derivative of t**7/210 - t**5/60 - 7*t**2/2 + 2*t. Let x(r) be the first derivative of g(r). Find i such that x(i) = 0.
-1, 0, 1
Let t(w) = -w**3 + 19*w**2 - 18*w - 24. Let x be t(18). Let z be 5/x + 3/9. Factor z*v**4 + 0 + 3/8*v**3 + 1/8*v + 3/8*v**2.
v*(v + 1)**3/8
Suppose 56*u**3 + 6*u**2 - 107*u**3 + 61*u**3 + 16 - 2*u**5 + 4*u**4 - 26*u**2 - 8*u = 0. What is u?
-2, -1, 1, 2
Let k(x) = -x**2 + 2. Let h be k(-2). Let d be ((-3)/(-15))/(2/(-8)*h). Find v, given that -2/5 - 1/5*v + 1/5*v**3 + d*v**2 = 0.
-2, -1, 1
Let d(j) be the third derivative of -j**7/735 - 3*j**6/280 - 11*j**5/420 + 2*j**3/21 + 4*j**2 - 4. Solve d(w) = 0 for w.
-2, -1, 1/2
Factor -90*l**2 - 2/5*l**3 - 168750 - 6750*l.
-2*(l + 75)**3/5
Let d(m) = -136*m**3 - 7428*m**2 + 3810*m - 482. Let s(c) = 54*c**3 + 2971*c**2 - 1525*c + 193. Let g(y) = -5*d(y) - 12*s(y). Solve g(b) = 0.
-47, 1/4
Let k(i) = -i - 2. Let h(d) = -4*d**2 + 44*d + 284. Let b(z) = -h(z) - 12*k(z). Determine n so that b(n) = 0.
-5, 13
Let s = -1292 + 1292. Let q(m) be the first derivative of -1/5*m**4 + s*m**2 + 0*m + 4 + 2/15*m**3 + 2/25*m**5. Factor q(a).
2*a**2*(a - 1)**2/5
Factor 9*z + 3384 + 6*z + 7*z**2 - 3377 + 2*z**2 + z**3.
(z + 1)**2*(z + 7)
Suppose -4*m = -16, -h - 4*h = -2*m - 2. Suppose 4*w - 8 = h*p, -4*p + 29 = 3*w + 1. Solve w*u**4 + 0*u**3 + 2*u**5 - 3*u**5 - 4*u**3 = 0.
0, 2
Let h(l) = 5*l + 9. Let n be h(7). Suppose n = -5*o + 224. Determine q so that -5*q**3 + 36*q - o*q = 0.
0
Let c be (6/(-30))/(45/(-200)). Let s = -2313/5 - -21097/45. Solve -50/9*y**4 - s*y - c - 8/9*y**5 - 116/9*y**3 - 122/9*y**2 = 0 for y.
-2, -1, -1/4
Let r be 108/45 + 2/(-5). Let l be (2 - 6) + r + 47. Factor 50*k**2 + 20*k**3 - 28 - l*k + 48 + 25*k**5 - 10 - 60*k**4.
5*(k - 1)**3*(k + 1)*(5*k - 2)
Let o(l) be the second derivative of -l**7/231 - l**6/165 + 3*l**5/55 - 3*l - 5. Factor o(m).
-2*m**3*(m - 2)*(m + 3)/11
Suppose -54 = -g - g. Let d = g - 26. Solve -l + 1/4*l**2 + d = 0.
2
Let m(l) = l**2 + 6*l - 11. Let j be m(-8). Suppose -14 = -j*u - 4. Find c such that -3*c**3 - 9*c**2 - 5 + 2*c**3 - 9*c + 2 - u*c**3 = 0.
-1
Suppose 0 = -3*o + 8*o - 10. Factor 23*b**2 + 0*b + 6*b - 26*b**o.
-3*b*(b - 2)
Let f(a) be the first derivative of 2*a**3/15 - 8*a/5 - 40. Factor f(u).
2*(u - 2)*(u + 2)/5
Let o(q) be the first derivative of -q**3/30 - q**2/20 - 99. Factor o(b).
-b*(b + 1)/10
Suppose -10*r + 0*r = -110. Suppose 11 = -6*h + r. Determine y, given that -1/3*y**4 + 4/3*y**3 - 5/3*y**2 + h + 2/3*y = 0.
0, 1, 2
Suppose 3*m - 4*m = -44. Let g be m/7 - 4/14. Determine s, given that -8*s + 3*s**3 - 3*s + g + 3*s - s = 0.
-2, 1
Let l(o) be the first derivative of -3*o**5/4 - 10*o**4/3 - 35*o**3/6 - 5*o**2 + 47*o + 16. Let d(k) be the first derivative of l(k). Factor d(v).
-5*(v + 1)**2*(3*v + 2)
Let m(c) = 3*c**2 - 396*c + 13068. Let o(n) = -15*n**2 + 1980*n - 65340. Let r(l) = -21*m(l) - 4*o(l). Suppose r(i) = 0. Calculate i.
66
Let y(j) = 1. Let c(w) be the third derivative of -w**5/20 - w**4/2 - 5*w**3/3 + 16*w**2. Let m(v) = -c(