0, 1, 2
Solve 28*y**2 - 192/5 + 126/5*y**3 - 104/5*y + 1/5*y**5 + 29/5*y**4 = 0 for y.
-24, -2, 1
Let f(b) be the third derivative of -b**7/315 - b**6/90 + 47*b**5/90 + 19*b**4/3 + 32*b**3 - 36*b**2 + 6. Let f(l) = 0. What is l?
-4, -3, 8
Let y = 454116 + -3178806/7. Let 48/7*j**2 - 6*j - y*j**3 + 0 = 0. What is j?
0, 1, 7
Let t(j) be the first derivative of 4/75*j**6 + 0*j**5 + 8*j - 2/21*j**7 + 0*j**2 + 0*j**4 - 7 + 0*j**3. Let s(p) be the first derivative of t(p). Factor s(f).
-4*f**4*(5*f - 2)/5
Determine d so that 0*d - 80/7*d**3 - 16/7*d**5 + 60/7*d**4 + 40/7*d**2 - 4/7 = 0.
-1/4, 1
Let 60*i**4 + 1872/5*i**2 + 256/5 - 1152/5*i - 256*i**3 = 0. Calculate i.
2/3, 4/5, 2
Let p(l) = 752*l + 85731. Let h be p(-114). Let -2/13 + 0*w**2 - 4/13*w + 4/13*w**h + 2/13*w**4 = 0. Calculate w.
-1, 1
Let 10/9*u**4 + 530/9*u**2 - 2344/9*u + 280/3 + 196/9*u**3 = 0. What is u?
-15, -7, 2/5, 2
Let p = 123532 - 494123/4. Determine m, given that -12 - 1/4*m**3 + p*m**2 + 2*m = 0.
-3, 4
Let b(l) be the first derivative of l**5/30 + l**4/2 + 35*l**3/18 - l**2 - 6*l - 8. Suppose b(s) = 0. Calculate s.
-6, -1, 1
Let u(g) = -25*g**2 + 164*g - 65. Let r(c) = 102*c**2 - 660*c + 261. Let s(d) = -2*r(d) - 9*u(d). Factor s(k).
3*(k - 7)*(7*k - 3)
Let m be (-14)/48 - 2/(-3). Let a = 474827/8 + -59353. What is u in -m - a*u**2 - 3/4*u = 0?
-1
Let b(f) be the second derivative of -f**4/12 + 223*f**3 - 447561*f**2/2 - 87*f - 5. Solve b(x) = 0 for x.
669
Let z be (432/(-45))/(33/30*-22). Let p = z + 2/605. Factor 0 + p*x**3 + 0*x + 2/5*x**5 + 4/5*x**4 + 0*x**2.
2*x**3*(x + 1)**2/5
Let d(c) be the first derivative of 19*c**3/12 - 39*c**2/8 + c/2 + 3523. Let d(y) = 0. Calculate y.
1/19, 2
Let v(y) = -2*y**3 - y**2 + 3. Let d(c) = -3*c**3 + 6*c**2 - 9*c + 6. Let j(g) = d(g) - 2*v(g). Solve j(l) = 0 for l.
-9, 0, 1
Let x(s) be the first derivative of 2*s**5/11 - 86*s**4/11 + 42*s**3/11 + 172*s**2/11 - 136*s/11 - 293. Solve x(b) = 0.
-1, 2/5, 1, 34
Let y(x) be the third derivative of x**8/50400 + x**7/600 - 11*x**6/900 + 4*x**5/15 + 3*x**2 - 27. Let q(n) be the third derivative of y(n). Factor q(k).
2*(k - 1)*(k + 22)/5
Let a(v) be the second derivative of 2*v**6/135 + 8*v**5/45 + 5*v**4/27 - 28*v**3/27 + 34*v. Factor a(o).
4*o*(o - 1)*(o + 2)*(o + 7)/9
Suppose -4*k - 4*q - 2 = -2*q, -3*q = k + 13. Suppose 4*m - 4*o - 20 = 0, m + 1 = 2*o + 6. Determine z, given that 0*z + 5*z - k*z + m - 20*z**2 + 12*z = 0.
-1/4, 1
Factor -35*y - 111*y**3 - 24 + 233*y**3 + 2*y**4 - 3*y**2 - 3*y**4 - 2*y - 113*y**3.
-(y - 8)*(y - 3)*(y + 1)**2
Suppose -18 = 3*d + 35*n - 30*n, -8*n = 48. Let -4/3*s + 8/15*s**3 - 16/15 + 2/5*s**2 - 2/15*s**d = 0. What is s?
-1, 2, 4
Find z, given that -79*z**3 - 20 - 93*z**3 + 25*z**2 - 10*z**2 + 167*z**3 = 0.
-1, 2
Factor -2474/5*m - 6/5*m**2 - 824/5.
-2*(m + 412)*(3*m + 1)/5
Let h(a) be the third derivative of -185/12*a**4 - 2*a**2 + 66 + 1/12*a**5 + 6845/6*a**3 + 0*a. Factor h(b).
5*(b - 37)**2
Factor 0 + 7/2*m**3 + 24*m + 44*m**2.
m*(m + 12)*(7*m + 4)/2
Let u be 1 + (-2 - -2 - -1)/1. Let p = -2003 - -26041/13. Factor p*s + 2/13*s**u + 0.
2*s*(s + 1)/13
Let v be 122/10 - 12 - 44/240. Let d(k) be the third derivative of 1/210*k**7 + v*k**5 - 1/3*k**3 + 22*k**2 - 1/8*k**4 + 0 + 0*k + 1/40*k**6. Factor d(l).
(l - 1)*(l + 1)**2*(l + 2)
Let v(m) be the third derivative of -m**7/1260 - m**6/90 + m**5/180 + m**4/6 + 34*m**3/3 + 57*m**2. Let f(p) be the first derivative of v(p). Factor f(l).
-2*(l - 1)*(l + 1)*(l + 6)/3
Let c = -172 - -179. Find w such that 8*w**3 - 3*w - 2*w**5 - 4*w**2 + 4*w - c*w + 4*w**4 = 0.
-1, 0, 1, 3
Let c(f) = 2*f**2 - 11*f - 22. Let z be c(8). Let q(k) = -k**2 - k - 3. Let m(g) = g**2 - 221*g + 85. Let a(x) = z*q(x) + 2*m(x). Factor a(n).
-4*(n + 29)*(4*n - 1)
Let i(t) = -4*t**2 + 3*t**2 - 34*t - 22*t + 627 + 6*t. Let q(r) = -r**2 + 1. Let m(o) = 3*i(o) - 6*q(o). Factor m(y).
3*(y - 25)**2
Let g be (-9 + 10)*2/4*(204/(-30))/(-17). Factor -1/5*r**5 + 0 + 0*r**2 + 0*r + 2/5*r**4 - g*r**3.
-r**3*(r - 1)**2/5
Let p = 166 - 162. Let t be (7 - 2)*((-36)/10 + p). Factor -1/5*b + 1/5*b**3 - 1/5 + 1/5*b**t.
(b - 1)*(b + 1)**2/5
Factor -19 + 17/2*d + 1/2*d**2.
(d - 2)*(d + 19)/2
Let h(r) = r**4 + r**3 + 2*r**2 - r - 1. Let z(u) = u**4 - 437*u**3 + 2*u**4 + 449*u**3 + 3*u**2. Let g(m) = 3*h(m) + z(m). Factor g(l).
3*(l + 1)**3*(2*l - 1)
Suppose 0 = 5*g - n, -2*n - 2*n - 42 = 4*g - 9*n. Find a such that 7/5*a - 7/5*a**3 + 8/5*a**4 - 9/5*a**g + 1/5 = 0.
-1, -1/8, 1
Let h(o) be the third derivative of o**8/504 + 242*o**7/315 + 14881*o**6/180 + 968*o**5/3 + 400*o**4 + 330*o**2 + 4*o. Factor h(p).
2*p*(p + 1)**2*(p + 120)**2/3
Let s = -109 - -111. Factor -s*g**2 + 2 + g**2 + 16*g - 15*g.
-(g - 2)*(g + 1)
Let q(h) be the third derivative of -h**8/1344 + h**6/12 - 2*h**5/3 - 17*h**4/6 + 199*h**2. Let i(z) be the second derivative of q(z). Factor i(l).
-5*(l - 2)**2*(l + 4)
Let f(o) = -9*o**2 - 56*o + 102. Let i(c) = -14*c**2 - 57*c + 101. Let v(g) = 3*f(g) - 2*i(g). Factor v(u).
(u - 52)*(u - 2)
Let -91/2*k + 23*k**2 - 1 = 0. What is k?
-1/46, 2
Let y = -218 - -220. Find p, given that -p + 5*p**2 - 11*p**y + 5*p**2 + 5 - 3 = 0.
-2, 1
Let v(l) be the second derivative of -l**4/6 - 110*l**3 - 27225*l**2 + 935*l. Solve v(s) = 0.
-165
Let c(s) be the first derivative of -s**4 + 60*s**3 + 92*s**2 + 5029. Suppose c(x) = 0. Calculate x.
-1, 0, 46
Let k(a) be the first derivative of -245*a**6/6 - 756*a**5 - 9785*a**4/4 + 7570*a**3 - 5110*a**2 + 1320*a + 546. Determine l so that k(l) = 0.
-11, -6, 2/7, 1
Let s = -3287 + 1189891/362. Let u = 1433/1810 - s. Suppose 2/5*g**4 + u*g - 2/5 - 4/5*g**3 + 0*g**2 = 0. What is g?
-1, 1
Let x(u) = -95*u**2 - 60*u - 270. Let o(i) = 37*i**2 + 30*i + 135. Let z(j) = -5*o(j) - 2*x(j). Find c, given that z(c) = 0.
-3, 9
Let w be ((-13)/(975/(-10)))/(76/95)*9. What is u in -2*u**3 - w*u**2 - 1/8*u**5 - 7/8*u**4 + 0 + 0*u = 0?
-3, -2, 0
Let h(l) be the first derivative of l**3/9 + 25*l**2/2 + 1166*l/3 + 3271. Suppose h(j) = 0. What is j?
-53, -22
Let u(c) be the first derivative of c**5/4 + 35*c**4/6 + 175*c**3/6 + 55*c**2 - 26*c - 220. Let w(f) be the first derivative of u(f). Factor w(z).
5*(z + 1)*(z + 2)*(z + 11)
Let q(v) be the first derivative of 9*v**5/10 - 5*v**4/2 - 23*v**3/6 + 3*v**2/2 - 256. Factor q(b).
b*(b - 3)*(b + 1)*(9*b - 2)/2
Let a be (-8)/14 - (8 - (-405)/(-35)). Factor 5*r + 15*r**2 + 21*r**a + 0*r - 17*r**4 + 22*r**4 - 6*r**3.
5*r*(r + 1)**3
Let c = 451 - 407. Factor 16*o + c*o - 5*o**3 - 116 + 36.
-5*(o - 2)**2*(o + 4)
Suppose -30 = -34*q + 72. Factor q + 9*y + y**3 + 97*y**2 - 52*y**2 - 3 - 51*y**2.
y*(y - 3)**2
Suppose 2*y - 34 = 2*v - 42, 4 = -4*y. Determine r, given that -3*r**v - 6*r**4 + 9/2*r + 6*r**2 - 3/2*r**5 + 0 = 0.
-3, -1, 0, 1
Let a(o) be the second derivative of 0 - 1/10*o**5 + 0*o**2 + 1/90*o**6 + 1/6*o**3 + 1/3*o**4 - 13*o. Let v(f) be the second derivative of a(f). Factor v(i).
4*(i - 2)*(i - 1)
Let c(t) be the second derivative of -3*t - 22 + t**3 + 1/40*t**5 - 1/3*t**4 + 0*t**2. Factor c(y).
y*(y - 6)*(y - 2)/2
Let h(y) = -y + 8. Let d be h(5). Let r = 27 + d. Factor 7*v + v + 6*v + r - 9*v - 5*v**2.
-5*(v - 3)*(v + 2)
Let l(y) be the first derivative of -2*y**5/85 + 36*y**4/17 - 1486*y**3/51 - 22260*y**2/17 + 45864*y/17 - 2319. Solve l(g) = 0.
-13, 1, 42
Let z(p) = -17*p**2 + 228*p + 5. Let s(r) = 24*r**2 - 341*r - 7. Let b(i) = 5*s(i) + 7*z(i). Factor b(v).
v*(v - 109)
Factor 0 - 105*x + 1/3*x**2.
x*(x - 315)/3
Let b(t) be the first derivative of 0*t - 4*t**2 - 10/3*t**6 - 84/5*t**5 - 20*t**3 - 29*t**4 - 8. Determine f, given that b(f) = 0.
-2, -1, -1/5, 0
Let a(x) be the first derivative of 12*x - 2*x**3 - 20 - 9/2*x**2. Let o(g) = g**2. Let h(k) = -a(k) - 3*o(k). Factor h(l).
3*(l - 1)*(l + 4)
Let j(d) be the third derivative of d**8/672 + d**7/21 - d**6/40 - 16*d**5/15 - 163*d**4/48 - 5*d**3 - 78*d**2 + 2*d. Factor j(q).
(q - 3)*(q + 1)**3*(q + 20)/2
Let m(h) be the third derivative of h**6/540 + h**5/54 + h**4/18 + 2*h**2 - 28. Factor m(r).
2*r*(r + 2)*(r + 3)/9
Let z(p) be the first derivative of -3*p**4/4 - 258*p**3 - 2301*p**2/2 - 1530*p + 1267. Solve z(i) = 0.
-255, -2, -1
Let p(f) be the third derivative of 2*f**7/105 - 89*f**6/240 + 203*f**5/120 - f**4/2 + 470*f**2. Determine x, 