p**4/7 - 17*p**3/3 - 673*p**2 + 2*p. Solve f(r) = 0 for r.
-17, -1, 7
Suppose 0 = m - 16, -2*k - 64 = -3*k - 52*m + 48*m. Factor 0*b - 13/2*b**2 + 1/2*b**4 + k + 6*b**3.
b**2*(b - 1)*(b + 13)/2
Let d = -139327 + 139329. Determine h so that 0 - 4/5*h**d + 56/5*h = 0.
0, 14
Suppose l + 7 = -0, -a - 3*l - 21 = 0. Solve a - 3/2*f**3 - 2*f**2 - 1/3*f**4 - 2/3*f = 0 for f.
-2, -1/2, 0
Factor -1/2*y**3 - 839/2*y**2 - 175561/2 - 176399/2*y.
-(y + 1)*(y + 419)**2/2
What is h in 38*h**3 + 1912*h - 2825*h - 288*h**2 - 783 - h**4 + 1723*h = 0?
3, 29
Let r(w) be the third derivative of -w**9/105840 + w**8/7056 - w**7/2205 + w**5/30 + 4*w**3 + 73*w**2. Let c(l) be the third derivative of r(l). Factor c(d).
-4*d*(d - 4)*(d - 1)/7
Let x(c) be the first derivative of 13*c**6/30 - 368*c**5/25 + 133*c**4 - 784*c**3/15 + 1841. Let x(q) = 0. Calculate q.
0, 4/13, 14
Let d(i) be the first derivative of -5*i**4/12 + 20*i**3/3 + 450*i**2 + 16000*i/3 - 6138. Factor d(t).
-5*(t - 32)*(t + 10)**2/3
Find i, given that 8*i**4 + 347*i**5 + 0*i - 345*i**5 - 2*i**2 - 2*i - 5*i**2 + 12 - 13*i**2 = 0.
-3, -2, -1, 1
Suppose 0 = 22*g - 53 - 57. Let d(o) be the third derivative of 0*o**3 + 0*o**4 + 0 + 8*o**2 + 0*o + 1/36*o**g. Suppose d(y) = 0. What is y?
0
Suppose -4*z = 5*g - 15, 4*g - 129 = -5*z - 117. Let c(o) be the second derivative of -5/3*o**3 + z - 16*o - 5/12*o**4 + 15/2*o**2. Factor c(v).
-5*(v - 1)*(v + 3)
Let v(i) be the second derivative of i**6/165 + 18*i**5/55 + 13*i**4/3 - 228*i**3/11 + 361*i**2/11 - 3732*i. Factor v(y).
2*(y - 1)**2*(y + 19)**2/11
Let p(x) be the first derivative of -x**3/15 - 27*x**2/10 + 124*x/5 + 545. What is r in p(r) = 0?
-31, 4
Let g(u) be the second derivative of -u**6/6 + 25*u**5/4 - 110*u**4/3 + 70*u**3 - 1535*u. Factor g(z).
-5*z*(z - 21)*(z - 2)**2
Let b(q) be the third derivative of q**5/240 + 421*q**4/96 + 35*q**3/2 + 2*q**2 - 148*q. Factor b(j).
(j + 1)*(j + 420)/4
Suppose 5*h - 5*u = -120, h = -5*u - 1 - 29. Let y = h - -27. Suppose 9*b**4 - 14*b**4 - 15*b - 25*b**3 - 37*b**2 + y*b**2 = 0. Calculate b.
-3, -1, 0
Let q(p) be the first derivative of -p**3/33 + 81*p**2/22 + 267. Factor q(c).
-c*(c - 81)/11
Let s be 22*12/(-10)*(-16)/4752*9. Factor 6/5 - s*p - 2/5*p**2.
-2*(p - 1)*(p + 3)/5
Let n(o) be the third derivative of -5*o**8/56 - 11*o**7/105 + 103*o**6/60 + 167*o**5/30 + 20*o**4/3 + 4*o**3 + 2727*o**2 - 1. Find x, given that n(x) = 0.
-2, -1, -2/5, -1/3, 3
Let r(w) = 13*w**2 + 56*w + 18. Let j be r(-4). Let n be -2*-1*(-3)/(-12). Let 1/2*a + 1/8*a**j + n = 0. What is a?
-2
Let j(r) be the first derivative of -266*r**3/15 + 131*r**2/5 + 4*r/5 - 225. Factor j(n).
-2*(n - 1)*(133*n + 2)/5
Let b(n) be the second derivative of 0*n**2 - 2/5*n**6 - 10/3*n**3 - 4*n - 19/5*n**5 - 7*n**4 - 1. Find a, given that b(a) = 0.
-5, -1, -1/3, 0
Let f be -1541*(6/36)/(9/(-6)). Let t = f - 171. Factor -2/9 - 4/9*s - t*s**2.
-2*(s + 1)**2/9
Let a(n) be the first derivative of -n**4/22 + 34*n**3/33 - 6*n**2 + 144*n/11 - 83. What is p in a(p) = 0?
2, 3, 12
Let n be 2/4*(-113 - -119). Let j(h) = 3*h - 7. Let z be j(n). Factor 16/5*u**z - 92/5*u - 24/5.
4*(u - 6)*(4*u + 1)/5
Suppose 0 = 24*j - 31*j + 21. Find l such that j*l**2 - 13*l**3 - 14*l**3 + l**2 + 2*l - 4 + 25*l**3 = 0.
-1, 1, 2
Let i = 6 + 20. Suppose 28*d = i*d + 10. Suppose -32 - 64*l**2 + 39*l**4 + 29*l**4 - 18*l**d - 112*l**3 + 28*l**4 + 104*l + 26*l**3 = 0. Calculate l.
-1, 2/3, 1, 4
Let p(a) be the first derivative of -84 + 30*a - 25/2*a**2 - 5/3*a**3. Find w, given that p(w) = 0.
-6, 1
Let f(d) = 6*d**2 - 3*d + 10. Let v be f(2). Let t = v - 26. What is j in 4*j**t - 80 + 28*j + 43 + 39 + 22 = 0?
-6, -1
Let m(q) be the second derivative of q**9/7560 - q**7/420 + q**6/180 - q**4/4 - 2*q**3 + 48*q. Let n(l) be the third derivative of m(l). Solve n(f) = 0 for f.
-2, 0, 1
Let b(d) = 39*d**2 + 13449*d. Let u(y) = 6*y**2 + 2071*y. Let h(l) = 5*b(l) - 33*u(l). Solve h(i) = 0.
-366, 0
Let b(n) be the second derivative of -n**4/24 + 491*n**3/12 - 245*n**2/2 - 12381*n. Determine z so that b(z) = 0.
1, 490
Let c(s) be the first derivative of 3*s**4/4 - 32*s**3 + 174*s**2 - 336*s + 2390. Factor c(r).
3*(r - 28)*(r - 2)**2
Let n(s) be the second derivative of -s**7/189 - 23*s**6/135 + 5*s**5/6 - 77*s**4/54 + 26*s**3/27 + 705*s - 1. Solve n(q) = 0 for q.
-26, 0, 1
Let a(o) = o**3 + 29*o**2 - 39*o - 270. Let x be a(-30). Factor -90*r + x*r**2 - 6*r**2 - 168 - 7*r**2 + 14*r**2 - 4*r**2.
-3*(r + 2)*(r + 28)
Factor -452*f - 4/3*f**2 + 1360/3.
-4*(f - 1)*(f + 340)/3
Let n(g) be the first derivative of -g**6/210 - g**5/15 + g**4/42 + 2*g**3/3 - 54*g**2 - 52. Let u(k) be the second derivative of n(k). Solve u(x) = 0 for x.
-7, -1, 1
Let v(i) = 3*i**4 - 7*i**3 - 4*i**2 + 24*i - 15. Let d(t) = -25 - t**4 + 8 + 16 + t**3. Let g(w) = d(w) + v(w). Suppose g(r) = 0. What is r?
-2, 1, 2
Suppose 36*b + 25*b = 30*b. Let n be (-2 - b)/(126/(-72)*8). Suppose -1/7*c**4 - n*c**3 + 1/7*c + 1/7*c**2 + 0 = 0. What is c?
-1, 0, 1
Let m = -547819/66 + 49805/6. Let -2/11*c**5 - m*c**3 - 8/11*c**4 + 8/11*c**2 + 0 + 8/11*c = 0. Calculate c.
-2, -1, 0, 1
Let r(d) be the second derivative of d**7/18900 + d**6/5400 - d**5/450 - 23*d**4/2 + 80*d. Let y(x) be the third derivative of r(x). Factor y(l).
2*(l - 1)*(l + 2)/15
Let g be (1*134)/(-2 + 4). Let x = 69 - g. Factor -15 - 8*b**x + 5 + 25*b - 5*b**3 - 7*b**2 + 5*b**4.
5*(b - 1)**3*(b + 2)
Suppose -4*c = -4*z + 28, -5*z + 3*z + c = -10. Suppose -20*k + k**2 - 40 + 55 + 3*k + k**z = 0. What is k?
-5, 1, 3
Suppose l - 2*l = 3*z, 4*l = z + 26. Suppose -2*a - 20 = -l*a. Factor 7*c + 19*c - 6*c - a*c**3.
-5*c*(c - 2)*(c + 2)
Factor 1 - 5 + 6*m**3 + 235*m**2 + 14*m - 251*m**2.
2*(m - 1)**2*(3*m - 2)
Let p = 356 - 353. Find h such that -78*h**4 - 18*h**2 + 158*h**4 + 12*h**p - 82*h**4 = 0.
0, 3
Solve 0*f + 204/13*f**2 + 106/13*f**3 + 2/13*f**4 + 0 = 0.
-51, -2, 0
Let p(f) be the first derivative of -5*f**6/24 + 5*f**5/4 + 445*f**4/16 - 2945*f**3/12 + 385*f**2/2 + 1225*f + 5420. Let p(q) = 0. Calculate q.
-10, -1, 2, 7
Let h(l) = l + 19. Let z be h(-3). Suppose -3*v = c - 1 - z, v = 2*c - 6. Determine j so that 1024 - 8*j**3 + 96*j**2 - 512*j + 1/4*j**v = 0.
8
Let s be 1433/20062*(46/(-4))/(2/24) - -10. Factor -s*l**2 - 5/7 - 6/7*l.
-(l + 1)*(l + 5)/7
Suppose -166*r = 35*r. Let o(t) be the first derivative of -19 + r*t + 3/4*t**4 - 6/5*t**5 + 0*t**2 + 0*t**3 + 1/2*t**6. Factor o(j).
3*j**3*(j - 1)**2
Let t be 0 - (-38)/((-665)/(-35)). Find u such that 0 + 2/5*u**5 + 0*u**3 + 0*u**t + 2/5*u**4 + 0*u = 0.
-1, 0
Let h = -5 + 21. What is k in -3*k**4 + 0*k**4 + 494*k + h*k**2 - 526*k + 8*k**3 - k**4 = 0?
-2, 0, 2
Let h(f) be the second derivative of -5*f**5/18 + 1505*f**4/54 + 1216*f**3/27 + 244*f**2/9 + 451*f. Find t, given that h(t) = 0.
-2/5, 61
Let n be ((-18)/70)/(9/30). Let m = -9/35 - n. Determine t so that -m*t**2 + 0 + 3/5*t = 0.
0, 1
Let x = 1728 + -1693. Suppose 5*n + t - 30 = 0, 5*n - 24*t + 26*t = x. Solve -1/3*r**2 - 1/3*r**n + 1/3*r**4 + 5/3*r**3 - 4/3 - 8/3*r = 0.
-1, 2
Let i be ((-350)/(-5))/7 + -7. What is o in 0*o**i + o**3 + 195*o - 4595*o**2 + 169 + 4622*o**2 = 0?
-13, -1
Let f(s) = 32*s - 135. Let c be f(5). Determine k so that -29*k**2 + 3*k + c*k**2 + 4*k + k = 0.
0, 2
Suppose -5*c - 5 = -35*k + 39*k, 3*k - 3*c - 30 = 0. Factor -5*a**5 + 55*a**2 + k*a**4 + 13*a + 14*a - 22*a + 45*a**3 + 11*a + 4*a.
-5*a*(a - 4)*(a + 1)**3
Let r(h) be the first derivative of h**3 - 150*h**2 - 612*h + 1200. Factor r(o).
3*(o - 102)*(o + 2)
Suppose -4*u + 3*v = -3*u - 59, 395 = 5*u + 5*v. Suppose 3*h + 829 = 838. Factor 165*y**2 - 24*y**h + 94 - 14 + u*y**3 + 5*y**4 + 200*y.
5*(y + 1)**2*(y + 4)**2
Let u(c) = c + 43. Let o be u(-36). What is l in o + 5*l + 2*l**3 + 4*l**2 - 7*l - 14 + 3 = 0?
-2, -1, 1
Suppose 0 = -507*j + 3911 - 2897. Let 0 - 2/5*q**3 - 392/5*q - 56/5*q**j = 0. Calculate q.
-14, 0
Let v(u) be the first derivative of 5/4*u**4 - 26 - 25/3*u**3 - 5/2*u**2 + 25*u. Let v(w) = 0. Calculate w.
-1, 1, 5
Suppose 38*j + 835 + 1141 = 0. Let r be j/507*-13 + -2 + 2. Factor -2/3*h**3 + r*h + 2/3*h**2 + 0.
-2*h*(h - 2)*(h + 1)/3
Let f(p) = -7*p**2 - 81*p + 88. Let i(x) = -6*x**2 - 84*x + 90. Let q(g) = 3*f(g) - 4*i(g). Factor q(b).
3*(b - 1)*(b + 32)
Factor 2*k**2 + 39*k**2 +