What is j?
-1, 1, 2
Let f(v) = 58*v**2 - 93*v - 593. Let d(a) = -93*a**2 + 139*a + 890. Let x(c) = -5*d(c) - 8*f(c). Suppose x(l) = 0. What is l?
-42, -7
Let w(c) be the first derivative of -c**6/6 - 77*c**5/15 - 239*c**4/6 + 82*c**3/3 + 481*c**2/6 - 169*c/3 - 3932. Solve w(i) = 0 for i.
-13, -1, 1/3, 1
Let p(g) = -g**2 + 43*g + 26. Let z be p(29). Let l = z + -430. Factor -1/3*m**2 - l*m - 5/3.
-(m + 1)*(m + 5)/3
Let t(c) be the first derivative of -c**4 + 304*c**3/3 - 2888*c**2 - 752. Factor t(r).
-4*r*(r - 38)**2
Suppose 0 = -4*h + t + 37, -3*h - 5*t + 0*t + 45 = 0. Factor 204*s**2 + 4 - 186*s**2 + h*s**3 + 9*s + 2*s**4 + 5*s.
2*(s + 1)**3*(s + 2)
Let t(f) be the third derivative of 0 - 4/45*f**5 + 0*f - 1/945*f**7 + 11/540*f**6 - 1/3*f**4 + 0*f**3 + 187*f**2. Determine q, given that t(q) = 0.
-1, 0, 6
Let r = -13696 + 68481/5. Let q(f) be the first derivative of -3/5*f**4 - 8/25*f**5 + 11 + 0*f - 1/15*f**6 - 8/15*f**3 - r*f**2. Find p such that q(p) = 0.
-1, 0
Let f(h) be the first derivative of 1 - 5/2*h - 1/6*h**2 + 1/18*h**3. Determine d, given that f(d) = 0.
-3, 5
Let n be (-11)/(275/6)*-10. Let f = 5974/5 - 1186. Find s, given that -f*s - 24/5 - n*s**2 = 0.
-3, -2/3
Let i(z) = 9*z**3 + 30*z**2 + 57*z + 36. Let a(t) = 19*t**3 + 59*t**2 + 113*t + 73. Suppose 21*o + 0*o - 273 = 0. Let k(p) = o*i(p) - 6*a(p). Factor k(u).
3*(u + 1)**2*(u + 10)
Let r be 72/(-44) - (-1000160)/75999 - (-8)/6. Determine l so that -99/7*l + 24/7 + 9/7*l**5 + 60/7*l**2 - 12*l**4 + r*l**3 = 0.
-1, 1/3, 1, 8
Let s(v) = 846*v**2 + 37477*v - 23400022. Let t(q) = 605*q**2 + 24985*q - 15600015. Let j(l) = -5*s(l) + 7*t(l). Let j(c) = 0. What is c?
1249
Let m(h) be the first derivative of 2*h**3/3 - 6*h**2/7 - 1463. Suppose m(j) = 0. Calculate j.
0, 6/7
Let v(d) be the first derivative of -d**5 + 35*d**4 - 150*d**3 - 3910*d**2 - 7225*d + 836. What is q in v(q) = 0?
-5, -1, 17
Let a(m) = 14*m**2 + 4*m + 84. Let c(n) = 16*n**2 + 83. Let y(t) = 7*a(t) - 6*c(t). Find v, given that y(v) = 0.
-9, -5
Let g(o) be the second derivative of o**6/70 + 3*o**5/70 - 66*o**4/7 + 128*o**3 - 3840*o**2/7 + 726*o. Let g(y) = 0. What is y?
-20, 2, 8
Let j(w) be the second derivative of 21*w**2 + 22/3*w**3 - 312*w + 0 + 1/6*w**4. Factor j(v).
2*(v + 1)*(v + 21)
Factor 692*h - 5*h**2 - 24 - 715*h + 4*h**2 - 11 - 7.
-(h + 2)*(h + 21)
Let a(z) = 9*z**2 - 14*z + 25. Let h(k) = -8*k**2 + 13*k - 23. Let l(d) = 7*a(d) + 8*h(d). Factor l(m).
-(m - 3)**2
Let a(x) be the second derivative of x**5/10 + 4*x**4/3 + 5*x**3/3 - 14*x**2 - 1650*x + 1. Factor a(p).
2*(p - 1)*(p + 2)*(p + 7)
Let n = -979 + 982. Suppose 4*h - 12 = -4*x, n*x + 0*h + 2*h = 10. Suppose 2/5*l + 0 - 6/5*l**3 + 2/5*l**2 + 4/5*l**5 - 2/5*l**x = 0. What is l?
-1, -1/2, 0, 1
Determine q, given that 48/7*q**2 + 38/7*q**3 - 2/7*q**5 + 0*q - 12/7*q**4 + 0 = 0.
-8, -1, 0, 3
Let t(y) be the first derivative of y**4/3 - 1940*y**3/9 + 1934*y**2/3 - 644*y + 13427. Factor t(s).
4*(s - 483)*(s - 1)**2/3
Let q(y) = -y**3 + 22*y**2 - 50*y + 216. Let r be q(20). Solve -2/3*o**4 - 44/3*o - 14/3 - r*o**2 - 20/3*o**3 = 0.
-7, -1
Factor -5/3*v**3 - 315 + 35*v**2 + 15*v.
-5*(v - 21)*(v - 3)*(v + 3)/3
Let o(u) be the third derivative of 39*u**7/70 + 2477*u**6/40 - 62*u**5 - 383*u**4/2 + 128*u**3 - 2*u**2 + 2612*u. Suppose o(i) = 0. What is i?
-64, -2/3, 2/13, 1
Suppose -5*d - 2*i + 316 = 0, -12*i - 62 = -d - 13*i. Suppose -r = -d*r. Let 2/3*f**4 + 0*f**3 + r*f + 0 + 0*f**2 = 0. What is f?
0
Determine b so that -153/5*b**2 + 60 + 39/5*b**3 - 3/5*b**4 + 21*b = 0.
-1, 4, 5
Let d(g) be the first derivative of -5/2*g**4 - g**5 + 5*g**2 + 0*g - 14 + 5/3*g**3. Factor d(x).
-5*x*(x - 1)*(x + 1)*(x + 2)
Let g = 510 - 468. Factor 72 - 147*i - 103*i + 8*i + 124 + 4*i**2 + g*i.
4*(i - 49)*(i - 1)
Suppose -356*x + 351*x = 0. Let l(b) be the third derivative of -3/8*b**4 + 0*b + b**3 + 0*b**5 + 4*b**2 + x + 1/40*b**6. What is k in l(k) = 0?
-2, 1
Suppose 0 = -m + 2. Factor -40*y**2 + 2*y**4 + 32 - 24*y**3 - 84*y + 131*y**m - 17*y**2.
2*(y - 8)*(y - 2)*(y - 1)**2
Let j be (-17)/((-17)/(-8)) + 17/2. Let o(c) be the first derivative of -36*c**2 + 0*c - j*c**4 + 4 + 8*c**3. Find t such that o(t) = 0.
0, 6
What is q in 4*q**4 + 116/7*q**2 + 2/7*q**5 - 114/7*q - 144/7 + 16*q**3 = 0?
-8, -3, -1, 1
Let h(q) be the second derivative of q**6/30 - 8*q**5/15 + 13*q**4/6 - 4*q**3 + 4*q**2 - 3*q + 7. Let d(s) be the first derivative of h(s). Factor d(y).
4*(y - 6)*(y - 1)**2
Let s(p) be the first derivative of 0*p**2 + 2/21*p**3 - 2/7*p + 169. Factor s(o).
2*(o - 1)*(o + 1)/7
Let h(q) be the third derivative of 0*q - 25/42*q**7 + 169/12*q**5 + 0*q**4 - 2 + 0*q**3 + 11*q**2 - 143/24*q**6 - 5/336*q**8. Factor h(a).
-5*a**2*(a - 1)*(a + 13)**2
Let s(c) = 2*c**2 - 27*c - 2. Let i(j) = -j**2 + 25*j + 1. Let p(t) = -t + 10. Let n be p(4). Let g(f) = n*i(f) + 5*s(f). Let g(b) = 0. Calculate b.
-4, 1/4
Suppose -5*g = 66 - 31. Let p be (2/(-8))/(g/((-616)/(-165))). Factor 2/15*x**2 + 4/15*x - p*x**3 + 0.
-2*x*(x - 2)*(x + 1)/15
Let a(w) = w - 1. Let g be a(13). Factor -23*d**2 - 2*d - 57*d**3 + 115*d**3 - g*d**2 + 114*d**3.
d*(4*d - 1)*(43*d + 2)
Let q(n) = n**2 + 135*n - 1. Let a(t) = -11*t**2 - 1030*t + 231. Let c(i) = -a(i) - 6*q(i). Find u such that c(u) = 0.
-45, 1
Let f(h) = -h**3 - 2*h**2 + 8*h + 15. Let p be f(0). Suppose 4*r + s + 4*s - p = 0, 2*r + s - 3 = 0. Factor 2/7*o**4 + r*o + 1/7*o**5 + 0*o**2 + 0*o**3 + 0.
o**4*(o + 2)/7
Let t(p) be the third derivative of -p**7/6 + 5*p**6/8 + 61*p**5/12 - 225*p**4/8 + 15*p**3 - 19*p**2 + p + 6. Let t(j) = 0. What is j?
-3, 1/7, 2, 3
Let j(c) be the first derivative of -5*c**3/3 + 1335*c**2/2 - 1869. Factor j(b).
-5*b*(b - 267)
Let z = 2473/3 + -902903/1095. Let f = 12/73 - z. Solve 3/5 - 1/5*r**2 - f*r = 0.
-3, 1
Let q(m) be the second derivative of -m**5/80 + 49*m**4/48 + m**3/24 - 49*m**2/8 + 938*m. Suppose q(x) = 0. Calculate x.
-1, 1, 49
Let o be ((-2405)/(-370))/(13/4). Let g(c) be the first derivative of -1/2*c**o - 27 + 0*c - 1/9*c**3. Find t such that g(t) = 0.
-3, 0
What is b in -14194/11*b**3 + 3052140*b**2 - 26455940056/11*b - 26489527792/11 + 2/11*b**4 = 0?
-1, 2366
Let j(r) be the second derivative of -r**5/20 - 17*r**4/12 - 95*r**3/6 - 175*r**2/2 + 4*r - 163. Find m such that j(m) = 0.
-7, -5
Suppose 543 - 543 = -58*v - 221*v. Find n, given that -27/2 + 21/2*n**3 + 9/8*n**4 + v*n + 183/8*n**2 = 0.
-6, -3, -1, 2/3
Suppose 25 - 7 = 3*f. Let h = 8 - f. Factor 11*x + 48*x**3 + 12 + 15*x - 8*x**h - 57*x**3 - 21*x**3.
-2*(x - 1)*(3*x + 2)*(5*x + 3)
Suppose -4*y = 142*v - 145*v + 6, -3*y + v + 3 = 0. Factor -10/7*x - 4/7 - 8/7*x**2 - 2/7*x**y.
-2*(x + 1)**2*(x + 2)/7
Let x(n) be the third derivative of 0*n + 0 - 2/105*n**7 - 13*n**2 + 0*n**3 + 4/15*n**5 + 0*n**6 + 0*n**4. Factor x(r).
-4*r**2*(r - 2)*(r + 2)
Let h(l) = 6*l - 1. Let p be (-1 - 6)/((-5)/5). Let n be h(p). Factor n - 41 - 2*x**3 - 8*x + 10*x**2.
-2*x*(x - 4)*(x - 1)
Suppose 2*f**4 + 0*f**2 - 80*f + 20*f + 50*f**3 - 140*f - 8*f**2 = 0. Calculate f.
-25, -2, 0, 2
Let y(z) be the first derivative of -z**6/900 + z**5/50 + 31*z**3/3 + 55. Let p(x) be the third derivative of y(x). Solve p(g) = 0 for g.
0, 6
Let w(b) = -9*b**2 + 2081*b - 2007. Let x(l) = -10*l**2 + 2094*l - 2006. Let y(t) = -6*w(t) + 5*x(t). Factor y(c).
4*(c - 503)*(c - 1)
Let z = 652179/25 - 26087. Let w(a) be the first derivative of -1/5*a**6 + 8/15*a**3 + 3/5*a**4 - z*a**5 - 4/5*a - 31 - 3/5*a**2. Let w(g) = 0. Calculate g.
-1, -2/3, 1
Factor 44/3*n**2 + 106*n + 168 - 2/3*n**3.
-2*(n - 28)*(n + 3)**2/3
Let q be (8/(-15))/(-4)*(-11375)/(-260). Let p(g) be the second derivative of 23*g - q*g**4 + 0*g**2 - 3/4*g**5 + 0 + 25/6*g**3. What is x in p(x) = 0?
-5, 0, 1/3
Let q(r) be the third derivative of -1/60*r**5 - 1/240*r**6 - 5*r**2 + 1/6*r**3 + 1/48*r**4 + 12 + 0*r. Factor q(f).
-(f - 1)*(f + 1)*(f + 2)/2
Suppose -5*f + 49 = -16, -421*r + 29 = -426*r + 3*f. Factor -22/3*k**2 - r*k - 16/3*k**3 + 0.
-2*k*(k + 1)*(8*k + 3)/3
Suppose 0 = -3*f + 4*m + 56, -2475*f + 71 = -2460*f - m. Factor -1/2*y**f + 1/2*y**3 + 2*y**2 - 1/4*y**5 + 7/4*y + 1/2.
-(y - 2)*(y + 1)**4/4
Suppose 760/3*a**2 + 89/3*a**5 + 0 + 32/3*a + 538/3*a**4 + 364*a**3 = 0. Calculate a.
-2, -4/89, 0
Let j(z) be the first derivative of -2/15*