0, 1, 43
Suppose -t = -4*l + 65, 3*l + 3*t - 28 = 2. Suppose 2*y - o = 42, 2*y + 14*o = 13*o + 38. Factor l*v**2 - 155 - y*v**3 + 155 + 5*v**4.
5*v**2*(v - 3)*(v - 1)
Factor 1405144*h + h**2 - 1405180*h - 5*h**2 - 72.
-4*(h + 3)*(h + 6)
What is t in 9486760 + 5/2*t**2 + 9740*t = 0?
-1948
Let z(v) = -v**3 - 19*v**2 - 4*v + 256. Let x be z(-18). Let i(a) be the first derivative of 4/5*a**5 - 16*a**2 - 16*a + 2*a**x - 1 - 4*a**3. Factor i(m).
4*(m - 2)*(m + 1)**2*(m + 2)
Let r(h) be the third derivative of -h**7/70 + 41*h**6/20 - 377*h**5/5 - 3569*h**4/4 - 5547*h**3/2 - 819*h**2. Suppose r(q) = 0. Calculate q.
-3, -1, 43
Let y be (6/(-5))/((-27)/90). Let x be ((-21)/(-140))/(y/16). Factor 3/5 + x*v**3 - 3/5*v - 3/5*v**2.
3*(v - 1)**2*(v + 1)/5
Factor -9202050/7 - 2/7*y**2 + 8580/7*y.
-2*(y - 2145)**2/7
Let k be (-3200)/(-1024) + (-1)/8. Factor 15*v**2 + k + 51/4*v + 3*v**3.
3*(v + 4)*(2*v + 1)**2/4
Find s, given that 3/2*s**3 + 0 - 33*s**2 + 315/2*s = 0.
0, 7, 15
Factor -368*s + 298*s**2 - 178*s**2 + s**4 - 855*s**2 - 366*s**3.
s*(s - 368)*(s + 1)**2
Let m(w) be the first derivative of -w**6/12 - 19*w**5/5 - 9*w**4 + w**3/3 + 73*w**2/4 + 18*w + 7060. Solve m(p) = 0 for p.
-36, -1, 1
Let r = -13055/6 + 6541/3. Let q be (-151)/(-14) - (-2)/(-7). Factor 3*v + q*v**2 - r + 3*v**3.
3*(v + 1)*(v + 3)*(2*v - 1)/2
Let f(b) be the first derivative of b**6/60 + 7*b**5/30 + 5*b**4/6 + 13*b**2/2 + 83. Let w(x) be the second derivative of f(x). Factor w(g).
2*g*(g + 2)*(g + 5)
Suppose 21*k - 15 = 16*k. Let y(b) = -3*b**2 + 11*b - 4. Let t be y(k). Determine z, given that -2/11*z**t - 24/11 + 16/11*z = 0.
2, 6
Let s(o) be the second derivative of o**5/110 - 65*o**4/66 + 952*o**3/33 + 3468*o**2/11 - 87*o. Let s(j) = 0. What is j?
-3, 34
Let s(t) be the first derivative of t**3/3 + 641*t**2/2 - 642*t + 4256. Factor s(k).
(k - 1)*(k + 642)
Let c(y) = 460*y**2 + 59520*y - 29521885. Let i(x) = -79*x**2 - 9920*x + 4920314. Let o(q) = -6*c(q) - 35*i(q). Factor o(w).
5*(w - 992)**2
Let n(r) be the third derivative of -r**5/15 + 167*r**4/3 - 55778*r**3/3 + 91*r**2 + 2*r. Suppose n(y) = 0. What is y?
167
Determine t so that -4224*t**2 - 5 + 5 - 4128*t - 781*t**4 - 931*t**4 + 1391*t**4 + 2742*t**3 - 9*t**5 = 0.
-43, -2/3, 0, 4
Let a be -1 + (-6 - -2) + -136*69/(-1104). What is v in -1/4*v**2 - a - 9/4*v = 0?
-7, -2
Let y be (44/(-154))/((-2)/14). Let v(b) be the third derivative of 1/20*b**6 + 0 - 26*b**y + 1/12*b**4 + 0*b + 1/3*b**3 - 1/6*b**5. Solve v(d) = 0.
-1/3, 1
Let f(q) be the third derivative of 43*q**4/24 - 85*q**3/3 - 252*q**2. Let d be f(4). Find b such that 15/4 + 57/4*b**d + 63/4*b + 9/4*b**3 = 0.
-5, -1, -1/3
Factor 372*k**2 - 168*k**2 - 206*k**2 - 796*k.
-2*k*(k + 398)
Let r(z) be the first derivative of -2*z**2 + 1/12*z**3 - 17/4*z + 38. Solve r(m) = 0.
-1, 17
Let w(h) be the second derivative of -h**5/190 - 205*h**4/114 + 413*h**3/57 - 207*h**2/19 + 3581*h. Factor w(p).
-2*(p - 1)**2*(p + 207)/19
Find o such that 13/4 + 1/8*o**5 + 15/8*o + 3/2*o**4 - 19/4*o**2 - 2*o**3 = 0.
-13, -1, 1, 2
Factor -304/5*c**2 + 146/5*c**3 + 1/5*c**5 - 16 - 24/5*c**4 + 261/5*c.
(c - 16)*(c - 5)*(c - 1)**3/5
Let n(r) be the second derivative of -11*r**5/160 + 61*r**4/96 - 2*r**3 + 9*r**2/4 + 2438*r. Factor n(u).
-(u - 3)*(u - 2)*(11*u - 6)/8
Factor -i**3 + 171*i**2 - 12*i**4 + 454*i + 9*i**4 - 154*i + 156 + 25*i**3.
-3*(i - 13)*(i + 1)*(i + 2)**2
Let g(u) be the second derivative of -u**6/2340 - 2*u**5/195 - 4*u**4/39 + 19*u**3 + u**2/2 - 12*u - 6. Let b(w) be the second derivative of g(w). Factor b(f).
-2*(f + 4)**2/13
Let u(z) be the first derivative of z**4/6 - 12*z**3 + 299*z**2 - 8464*z/3 + 1606. Suppose u(v) = 0. Calculate v.
8, 23
Let v(j) be the first derivative of j**3/9 - 251*j**2/6 + 410*j + 6145. Factor v(z).
(z - 246)*(z - 5)/3
Suppose -11*g + 322 = 91. Suppose g*l = -2*l + 4*l. Find d, given that -2*d**4 - 1/2*d**3 - 3/2*d**5 + l*d + 0*d**2 + 0 = 0.
-1, -1/3, 0
Let p(m) be the first derivative of -231/4*m**4 - 145*m**3 - 9/5*m**5 - 60*m - 144*m**2 + 5/2*m**6 + 43. Suppose p(q) = 0. What is q?
-2, -1, -2/5, 5
Factor 41173 - 39933 + 630*f + f**2 + 4*f**2.
5*(f + 2)*(f + 124)
Let y(l) be the third derivative of l**5/30 - 5*l**4/12 - 8*l**3 - 43*l**2 - 14. Find x, given that y(x) = 0.
-3, 8
Let u be -1 + 1 + 15*(3 + -4). Let r be ((-35)/u - 2) + (-6)/(-9). Solve -5 + r - p**2 + 5 = 0 for p.
-1, 1
Suppose 0 = 4*b - p - 1, 0 = -40*b + 41*b - 5*p + 33. Factor -5/4*g - 1/8*g**b - 9/8.
-(g + 1)*(g + 9)/8
Find r, given that 4/9*r**5 + 0 + 148/9*r**2 + 0*r + 46/3*r**4 - 122/3*r**3 = 0.
-37, 0, 1/2, 2
Suppose -4*r - 564 - 213 = -5*l, -606 = -4*l - 2*r. Suppose -74*c = -23*c - l. Let 138*q - 18 - 49/2*q**4 - 613/2*q**2 + 161*q**c = 0. Calculate q.
2/7, 3
Let d(x) be the second derivative of -5*x**4/12 + 1195*x**3/6 - 2925*x**2 + 3*x - 1066. Let d(r) = 0. What is r?
5, 234
Let i = 56 + -52. Suppose 4*p - 5*z - 841 = 1540, i*p - z - 2361 = 0. Determine t so that -179 + 105*t**3 - 57*t**3 + 768*t - p - 288*t**2 - 3*t**4 = 0.
4
Let i = -195 + 197. Factor -95 + 462*j + 5*j**4 + 80*j**3 - 206*j**i - 182*j - 64*j**2.
5*(j - 1)**3*(j + 19)
Let u(n) be the second derivative of n + 1 + 5/3*n**3 - 3/2*n**4 - 2/15*n**6 + 7/10*n**5 - n**2. Find m such that u(m) = 0.
1/2, 1
Let s(r) = -3*r**4 + 440*r**3 + 47091*r**2 + 2*r. Let y(p) = -20*p**4 + 2643*p**3 + 282547*p**2 + 13*p. Let j(n) = 26*s(n) - 4*y(n). Factor j(v).
2*v**2*(v + 217)**2
Suppose 14/11*y**2 + 8/11*y - 56/11 - 2/11*y**3 = 0. What is y?
-2, 2, 7
Let z be (10/6)/((-97)/((-191187)/730)). Factor 0 + z*k + 6*k**3 + 9*k**2 + 1/6*k**5 + 5/3*k**4.
k*(k + 1)*(k + 3)**3/6
Let b(t) be the second derivative of -t**6/60 - t**5/5 + 79*t**4/24 - 35*t**3/6 - 120*t - 10. Factor b(c).
-c*(c - 5)*(c - 1)*(c + 14)/2
Let d(w) be the third derivative of -3*w**2 + 16*w + 0 + 1/32*w**4 + 3/8*w**3 - 1/120*w**5. Determine i, given that d(i) = 0.
-3/2, 3
Let m(o) be the third derivative of o**6/160 - 559*o**5/80 + 78399*o**4/32 - 77841*o**3/8 + 2168*o**2. Solve m(k) = 0 for k.
1, 279
Let z(p) be the second derivative of 0 + 1/10*p**5 + 133*p + 0*p**2 + 0*p**4 - 1/3*p**3. Suppose z(v) = 0. What is v?
-1, 0, 1
Let o(l) be the first derivative of l**3/3 - 3*l**2/2 - 208*l + 2379. Factor o(a).
(a - 16)*(a + 13)
Let t(x) be the first derivative of -4*x**3/3 - 220*x**2 + 3276*x + 3417. Find v such that t(v) = 0.
-117, 7
Factor -885*q - 896 - 110*q**2 - 877 - 911 - 888 + 3532.
-5*(q + 8)*(22*q + 1)
Let f = -495 - -478. Let x be ((-528)/32 - f)*18/4. Factor -3/2 - 19/2*c**2 - x*c**3 - 35/4*c.
-(c + 1)*(c + 3)*(9*c + 2)/4
Let s(z) = 70*z**4 + 76*z**3 - 66*z**2 + 8*z. Let d(w) = w**5 - 15*w**4 + w**3 + 2*w**2. Let k(h) = -8*d(h) - s(h). Solve k(j) = 0 for j.
0, 1/4, 1, 4
Let o(a) be the third derivative of a**8/168 + 8*a**7/105 - a**6/12 - 94*a**5/15 - 124*a**4/3 - 320*a**3/3 + 58*a**2 - 5. Factor o(g).
2*(g - 5)*(g + 1)*(g + 4)**3
Let x = 28 + 7. Let w = x + -35. Find t, given that 9*t**2 + w*t**2 + 11*t**2 - 16*t**3 + 4*t**4 - 8*t = 0.
0, 1, 2
Let a(c) be the second derivative of c**7/357 + 4*c**6/85 + 29*c**5/170 + 3*c**4/17 - 909*c + 1. Find p, given that a(p) = 0.
-9, -2, -1, 0
Let a(x) be the second derivative of -x**4/21 + 6596*x**3/21 - 5438402*x**2/7 - 766*x - 3. Determine s so that a(s) = 0.
1649
Factor 1830*l + 74420 + 45/4*l**2.
5*(3*l + 244)**2/4
Let n(x) be the second derivative of -x**4/9 - 1078*x**3/27 + 1448*x**2/9 + 449*x. Let n(a) = 0. Calculate a.
-181, 4/3
Suppose 0*x - 2*x - 36 = -2*c, -3*x = 9. Let 4 - 22*y - 3*y**3 - 31*y**2 + 42*y**2 + c*y**2 - 5*y**3 = 0. What is y?
1/4, 1, 2
Let d(g) be the third derivative of -64*g**2 + 0*g**3 + 1/60*g**6 + 0*g - 1/2*g**4 + 0 + 1/30*g**5. Determine p so that d(p) = 0.
-3, 0, 2
Let d(x) be the first derivative of x**3/3 - 6*x**2 + 31*x + 41. Let c be d(10). Let -9*y**2 - 1 + 1 + c*y**3 + 2362*y - 2364*y = 0. What is y?
-2/11, 0, 1
Let r = 1006530 + -1006530. Let n = -3 + 5. Factor 1/2*x**n - 1/4*x - 1/4*x**3 + r.
-x*(x - 1)**2/4
Suppose -8/9*b**5 + 70/9*b**3 + 118/9*b + 8/3*b**4 - 8/3 - 20*b**2 = 0. What is b?
-3, 1/2, 1, 4
Let s(d) be the third derivative of 0*d - 7/20*d**5 + 1/70*d**7 + 0*d**6 - 3/4*d**4 + 0 + 46*d**2 + 0*d**3. Suppose s(v) = 0. What is v?
-2, -1, 0, 3
Let p be ((-407)/74 + (0