Let q(x) be the first derivative of -x**3/2 - 105*x**2/4 - 99*x + 814. What is i in q(i) = 0?
-33, -2
Let h = 706759/21 - 33655. Let a(o) be the second derivative of 1/7*o**4 + 44*o + 0 - 2/35*o**5 + 1/7*o**2 - h*o**3 + 1/105*o**6. Factor a(x).
2*(x - 1)**4/7
Let y(r) = r**2 + 0*r**2 - 13*r + 6*r + 8*r. Let c(n) = 40*n**3 + 97*n**2 + 32*n. Let k(d) = -c(d) + 2*y(d). Factor k(a).
-5*a*(a + 2)*(8*a + 3)
Let f be ((-729)/(-972))/(((-4)/(-3))/4). Determine o so that 111/4*o - 39/2 + f*o**2 = 0.
-13, 2/3
Factor -1/7*u**2 - 697225/7 - 1670/7*u.
-(u + 835)**2/7
Let v(j) be the first derivative of -j**5/25 + 13*j**4/4 - 121*j**3/5 + 107*j**2/2 - 236*j/5 + 1429. Factor v(a).
-(a - 59)*(a - 4)*(a - 1)**2/5
Let a be ((-7)/2)/(-1)*56/49. Suppose 5 - 29 = -3*y. Factor i**a + 4*i**4 - 4*i**3 - 18*i**2 + 3*i**4 + 11*i - 2 + y*i**3.
(i + 2)*(2*i - 1)**3
Factor -4/7*m**2 + 0 - 948/7*m.
-4*m*(m + 237)/7
Let y(l) = -l**3 + 24*l**2 + 23*l + 52. Let u be y(25). Let c**5 - 9*c**5 - c**2 + c**4 - 3*c**3 + 9*c**5 + u*c**3 = 0. What is c?
-1, 0, 1
Let i(r) be the third derivative of -r**5/20 - 37*r**4/4 + 420*r**3 + 13*r**2 - 34*r + 1. Solve i(j) = 0 for j.
-84, 10
Let f be -1 + 1 + 1 + -5 + 7. Factor 187*i**3 - i**4 - 372*i**3 + 186*i**f + 2*i**2.
-i**2*(i - 2)*(i + 1)
Suppose 4*o + 7 = 3. Let k be ((-2)/(-13) + (-18)/117)/o. Factor k*z + 1/3*z**2 - 1/2*z**3 + 0.
-z**2*(3*z - 2)/6
Let o(x) = -2*x**3 + 10*x**2 + 6*x + 38. Let j be o(6). Suppose 0 = 9*i - 20 + j. Factor 22*h**4 - 16/5*h + 10*h**5 + 8/5 + 38/5*h**3 - 46/5*h**i.
2*(h + 1)**3*(5*h - 2)**2/5
Let f = 12118 - 12116. Find t such that 5/4*t**f - 3/4*t + 0 - 1/4*t**3 - 1/4*t**4 = 0.
-3, 0, 1
Let b be (((-5)/6)/((-10)/15))/((-1825)/(-2920)). Let o(a) be the first derivative of a + 3/8*a**b - 7/12*a**3 + 13. Find l, given that o(l) = 0.
-4/7, 1
Suppose 5 = -m, -3*m = -4*l + 11 + 12. Factor -166*q + 3 + 9*q**l + 175*q + 6*q**3 - 3*q**3.
3*(q + 1)**3
Let k be (-560)/(-84)*(238/132 - (-70)/(-42)). Factor k*m**3 - 24/11*m**2 + 12/11 - 2*m.
2*(m - 3)*(m + 1)*(5*m - 2)/11
Let c(o) be the second derivative of o**4/16 + 22*o**3 + 525*o**2/8 + 201*o - 5. Solve c(h) = 0 for h.
-175, -1
Let y(k) = 81*k**3 + 81*k**2 - 927*k - 66. Let b(w) = -4 + 5*w**2 + 2*w**3 - 35*w + 2*w**3 + w**3 - 23*w. Let o(z) = -33*b(z) + 2*y(z). Factor o(g).
-3*g*(g - 4)*(g + 5)
Let w(z) be the third derivative of z**5/150 - 293*z**4/60 + 58*z**3 + 4870*z**2. Factor w(x).
2*(x - 290)*(x - 3)/5
Suppose 0 = -2*z + z - z. Let s be 8/4*(3/2 - z). Determine w, given that -2*w + 14*w**2 + 3 - 8*w - 12*w**3 - 1 + 6*w**s = 0.
1/3, 1
Suppose 4*z = 7*z. Solve 22*c**2 + 5*c**3 + z*c**3 - 5*c - 22*c**2 = 0.
-1, 0, 1
Solve -574*g**2 + 156*g + 8/3*g**4 - 602/3*g**3 + 0 = 0 for g.
-3, 0, 1/4, 78
Solve -2050*v**2 - 3*v**3 + 2037*v**2 + v**4 + 15*v**3 = 0 for v.
-13, 0, 1
Let f(x) = -22*x**3 - 46*x**2 - 39*x + 9. Let i(k) = -5*k**3 - 11*k**2 - 10*k + 2. Let m(y) = -2*f(y) + 9*i(y). Suppose m(u) = 0. Calculate u.
-4, -3, 0
What is v in -1880*v**3 - 1650*v**3 + 972 + 6723*v - 462*v**4 - 237*v**4 + 363*v**5 + 10044*v**2 - 2284*v**3 + 171*v**4 = 0?
-4, -3/11, 3
Let b(o) = 1349*o + 168628. Let t be b(-125). Let 64/3 + 176/3*l + 2/3*l**5 + 92/3*l**t + 184/3*l**2 + 22/3*l**4 = 0. Calculate l.
-4, -2, -1
Let n(j) be the second derivative of 4*j - 841/7*j**2 - 1/42*j**4 + 0 - 58/21*j**3. Factor n(p).
-2*(p + 29)**2/7
Let k(y) be the third derivative of y**7/210 - y**6/15 - y**5/6 + y**4/3 + 3*y**3/2 + 2*y**2 + 215. Let k(d) = 0. Calculate d.
-1, 1, 9
Let k = 245 - 245. Let f be k/(-55) - ((0 - 1) + -2). Let -4/3 - 1/12*w**f - 2/3*w + 7/12*w**2 = 0. Calculate w.
-1, 4
Find z, given that 595/9*z + 1/9*z**2 - 596/9 = 0.
-596, 1
Let u(a) = 97*a + 987. Let t be u(-10). Let x(m) = 6*m - 102. Let s be x(t). Determine n, given that -2/21*n**2 + 2/21*n**4 - 2/21*n + s + 2/21*n**3 = 0.
-1, 0, 1
Solve -880*w - 2/7*w**2 - 677600 = 0 for w.
-1540
Let n(f) be the second derivative of 3/20*f**5 + 7 - 3*f + 0*f**2 + 512*f**3 + 16*f**4. Factor n(y).
3*y*(y + 32)**2
Find b, given that -656/5 + 336/5*b + 324/5*b**2 - 4/5*b**3 = 0.
-2, 1, 82
Let r(f) be the first derivative of 1/9*f**3 + 75*f - 2 - 5*f**2. Determine h so that r(h) = 0.
15
Suppose 0 = 3*z - 10*r + 6*r - 68, 3*r = -3*z + 33. Suppose 2*p + 0*f - 40 = -4*f, -f = -p + 14. Solve -z*l**2 - 22*l + 38*l - 16*l - 4*l**4 + p*l**3 = 0.
0, 2
Let a(d) be the second derivative of -d**7/5040 - d**6/320 - 65*d**4/12 + d + 4. Let u(y) be the third derivative of a(y). Factor u(k).
-k*(2*k + 9)/4
Factor -201/2*m - 40401/4 - 1/4*m**2.
-(m + 201)**2/4
Factor -28/3 - 14/3*m**2 + 34*m.
-2*(m - 7)*(7*m - 2)/3
Let z be (-196)/(-2)*23/46. Suppose 0 = 3*q - 23 - z. Determine t, given that 3*t**2 - 36 - 2*t**2 - 6*t**2 + t**2 - q*t = 0.
-3
Let x(q) be the first derivative of q**4/30 + 776*q**3/45 - 779*q**2/15 + 52*q + 3392. Factor x(t).
2*(t - 1)**2*(t + 390)/15
Solve 330/17*o**2 - 254/17*o**3 - 2/17*o**5 + 0*o - 74/17*o**4 + 0 = 0.
-33, -5, 0, 1
Find v, given that 126/13*v**2 - 120/13*v - 2/13*v**3 - 248/13 = 0.
-1, 2, 62
Let m(q) be the second derivative of -q**7/11340 - 7*q**6/3240 - 17*q**4/6 - 2*q**3/3 - 210*q. Let y(f) be the third derivative of m(f). Solve y(w) = 0.
-7, 0
Suppose -w + 7 = 2*l, 3*w - 6 = -5*l + 2*l. Suppose -5*m + 4*x = -83, 6*m = 7*m + l*x - 5. Factor -4 - 42*y**3 + 4*y**2 - 2*y + 15*y**3 + 14*y**3 + m*y**3.
2*(y - 1)*(y + 1)*(y + 2)
Let i(o) be the third derivative of -o**6/1440 - 19*o**5/180 - 361*o**4/72 - 2*o**2 + 1609. Factor i(h).
-h*(h + 38)**2/12
Factor 5*o**2 + 495 - 93*o - 131*o + 44*o.
5*(o - 33)*(o - 3)
Let q(v) be the second derivative of v**7/147 - 4*v**6/105 - 11*v**5/70 - v**4/7 + 3293*v. Factor q(f).
2*f**2*(f - 6)*(f + 1)**2/7
Suppose 81 - 51 = 10*j. Suppose -6*y + 9*y = -j*y. Factor y*g + 1/2*g**2 - 1/4 - 1/4*g**4 + 0*g**3.
-(g - 1)**2*(g + 1)**2/4
What is o in -346*o**2 + 1/3*o**3 - 41421736/3 + 119716*o = 0?
346
Let j be (38/(-6) - -2)/(-87 - (-7710)/90). Let j - 9/8*x**3 - 5/4*x**4 + 81/8*x + 7*x**2 = 0. Calculate x.
-2, -1, -1/2, 13/5
Let j(i) be the first derivative of -195/2*i**3 - 6*i + 75*i**2 - 21/20*i**5 + 18*i**4 + 9. Let u(f) be the first derivative of j(f). Let u(k) = 0. Calculate k.
2/7, 5
Let c = 3392/139 + -1226/973. Determine o so that -2/7*o**5 - 54/7 - 180/7*o**2 - 92/7*o**3 - c*o - 22/7*o**4 = 0.
-3, -1
Let t(l) be the first derivative of -15*l**2 - 86*l + 21. Let u be t(-3). Factor 4/7*b**2 - 2/7*b**5 + 6/7*b**3 + 0 + 0*b + 0*b**u.
-2*b**2*(b - 2)*(b + 1)**2/7
Let k be 17/(-187) + 108/(-22) - (-496)/80. Solve 12*o + 24/5 - 3*o**3 - k*o**2 = 0 for o.
-2, -2/5, 2
Let a be 1455/(-12610) - 217/(-78). Find b such that -26/3*b**2 - 32/3*b - 2*b**3 - a = 0.
-2, -1/3
Suppose -18*g + 20*g - 8 = -c, -3*c = -4*g + 26. Let r be (-3)/((-99)/418) + c. Let -20/3*p**4 + 116/3*p**2 + r*p**3 - 80/3*p - 16 = 0. What is p?
-2, -2/5, 1, 3
Find i, given that -2688 - 136/7*i**2 - 2/7*i**3 - 416*i = 0.
-28, -12
Let i(u) = -u**3 + 35*u**2 - 94*u - 64. Suppose 0 = -4*b - 26*b + 960. Let h be i(b). Factor 8/7 + h*y - 2/7*y**2.
-2*(y - 2)*(y + 2)/7
Let x(d) be the second derivative of d**5/180 + 7*d**4/18 + 22*d**3/3 - 484*d**2/9 + 1733*d. Factor x(p).
(p - 2)*(p + 22)**2/9
Let p(t) be the first derivative of 4*t**6/3 - 436*t**5/5 + 1400*t**4 + 3136*t**3 + 1258. Factor p(r).
4*r**2*(r - 28)**2*(2*r + 3)
Let j(p) be the second derivative of -p**7/147 + 2*p**6/105 + 2*p**5/35 - 4*p**4/21 - 1733*p. Factor j(t).
-2*t**2*(t - 2)**2*(t + 2)/7
Suppose 4*v = 6*v - 360. Suppose 2 + 119*i**2 - v*i**3 + 3 + 121*i**2 - 65*i = 0. Calculate i.
1/6, 1
Let y(a) = -a**3 - a. Let u(n) = 4*n**4 + 28*n**3 + 48*n**2 + 44*n + 12. Let l be ((-1)/(-3))/(1/3). Let j(q) = l*u(q) + 4*y(q). Solve j(o) = 0 for o.
-3, -1
Let s = 3156 + -3156. Factor s*i - 92/7*i**4 + 0 + 4/7*i**5 + 572/7*i**3 - 484/7*i**2.
4*i**2*(i - 11)**2*(i - 1)/7
Determine j so that -8/3*j**5 - 2/3*j + 2*j**3 + 8/3*j**4 - 4/3*j**2 + 0 = 0.
-1/2, 0, 1
Factor -1/2*v**2 + 61/3 + 181/6*v.
-(v - 61)*(3*v + 2)/6
Let v be 952/340 + (0 - 0). Let t be (-102)/(-90) - (-3)/(-9). Find j such that -7/5*j**4 + 4*j - v*j**3 + 4/5*j**5 + t + 13/5*j**2 = 0.
-1, -1/4, 2
Let h(m) be the first derivative of -3*m**5/8 - 137*m**4/32 + 11*m**3/2 + 5*m**2/4 + 1816. Let h(f) = 0. What is f?
-10, -