 - 6/5*w**4 = 0.
1/3, 1, 2
Solve 246*d + 21941 - 21*d**2 - d**3 - 31*d**2 - 21941 + 17*d**2 = 0 for d.
-41, 0, 6
Let r(c) = -c**3 - 8*c**2 - 13*c - 40. Let v be r(-7). What is m in 148*m**v - 86*m - 156*m**3 - 7*m**5 + 3*m**5 + 6*m**4 + 54*m**4 + 38*m = 0?
0, 1, 12
Let i(h) = h**2 + 5*h - 3. Let m be i(-6). Factor -186*s - m*s**2 - 4 + 1 + 180*s.
-3*(s + 1)**2
Let -792*b + 508*b**2 + 512*b**2 - 1016*b**2 + 1568 = 0. Calculate b.
2, 196
Suppose 7*n - 168 = -7*n. Let g be 10/15 - n/(-18). Solve 2/3*a**4 - 2*a + 2*a**3 - g + 2/3*a**2 = 0 for a.
-2, -1, 1
Let g(r) = -65*r - 908. Let n be g(-14). Let h(o) be the third derivative of 0 + 0*o**4 + 1/315*o**7 - 1/180*o**6 + 2*o**n + 0*o**5 + 0*o + 0*o**3. Factor h(m).
2*m**3*(m - 1)/3
Let y(l) = l**2 - 23*l - 118. Let p be y(42). Let c = p - 1357/2. Factor c*u - u**2 - 2/3 + 1/6*u**3.
(u - 4)*(u - 1)**2/6
Let t = -1890 + 1090. Let h = 16804/21 + t. Suppose -2/21*r**3 + h*r**2 - 2/21*r + 0 = 0. What is r?
0, 1
Let -100/3*u**4 + 1805/6*u - 1900/3*u**2 + 365*u**3 + 5/6*u**5 + 0 = 0. Calculate u.
0, 1, 19
Let d = 242473/606070 - 9/121214. Factor 1/2*y**2 + d + 4/5*y + 1/10*y**3.
(y + 1)*(y + 2)**2/10
Suppose 5*h - 955 = -5*s, s - 5*s + 2*h = -764. Let -2*g**3 + 8*g + s - 20*g**2 - 47 - 32*g = 0. What is g?
-6, 2
Let n be 642/40 + (-1914)/(-696). Let 0 - 66/5*q**5 - n*q**4 + 0*q + 16*q**3 + 8/5*q**2 = 0. Calculate q.
-2, -1/11, 0, 2/3
Let g(v) be the first derivative of v**4/108 + v**3/18 + 73*v + 62. Let h(j) be the first derivative of g(j). Solve h(c) = 0 for c.
-3, 0
Suppose 3*r = -438*a + 434*a + 24, 0 = -4*r + 2*a + 10. Let q(m) be the first derivative of 4 - 5/13*m**2 + 4/39*m**3 - 12/13*m + 1/26*m**r. Solve q(u) = 0.
-3, -1, 2
Let r(p) be the third derivative of p**6/60 - 3*p**5 + 161*p**4 + 4232*p**3/3 - 17*p**2. Factor r(k).
2*(k - 46)**2*(k + 2)
Let x(u) be the third derivative of u**7/840 + 3*u**6/80 + 3*u**5/80 - 27*u**4/4 + 54*u**3 - 517*u**2. Factor x(d).
(d - 3)**2*(d + 12)**2/4
Let o(c) = -20*c**2 + 4573*c - 1044254. Let b(h) = 5*h**2 - h + 3. Let l(g) = -3*b(g) - o(g). Let l(f) = 0. What is f?
457
Factor -14/15*g - 2/15*g**3 - 4/3*g**2 + 12/5.
-2*(g - 1)*(g + 2)*(g + 9)/15
Let r(q) be the second derivative of q**6/25 - 21*q**5/5 + 245*q**4/2 - 12*q + 5. Factor r(v).
6*v**2*(v - 35)**2/5
Determine v so that 0 + 218/3*v + 107/3*v**2 - 1/3*v**3 = 0.
-2, 0, 109
Let w(b) = 8*b**3 - b**2. Let h(q) = 2*q**3. Let l = -234 + 230. Let z(n) = l*w(n) + 18*h(n). Find x, given that z(x) = 0.
-1, 0
Let o(m) be the second derivative of -25/6*m**3 - 9/4*m**4 - 11/20*m**5 + 0 - 78*m - 4*m**2 - 1/30*m**6. Find q, given that o(q) = 0.
-8, -1
Let m(w) be the third derivative of -w**6/60 + 538*w**5/15 - 2149*w**4/12 + 358*w**3 - 7445*w**2. Solve m(t) = 0.
1, 1074
Let k(w) = 35*w**2 + 7829*w - 2242. Let j(y) = -140*y**2 - 31325*y + 8970. Let u(h) = 4*j(h) + 15*k(h). Factor u(c).
-5*(c + 225)*(7*c - 2)
Let y(f) be the second derivative of -f**4/12 - 20*f**3 - 676*f. Factor y(z).
-z*(z + 120)
Let c(r) be the first derivative of 4*r**3/3 - 20*r**2 - 96*r - 1527. Suppose c(y) = 0. Calculate y.
-2, 12
Let h(p) be the second derivative of 232*p + 0*p**2 - 36/5*p**5 + 6/5*p**6 + 0 + 20*p**4 - 24*p**3 - 1/14*p**7. Find v, given that h(v) = 0.
0, 2, 6
Let g = -42 - -52. Let i be -1*g*((-15)/(-10))/(-3). Suppose -8*o**3 - 4*o**4 + 4*o - 4*o**i + 8*o**5 + 8*o**2 - 6 + 2 = 0. What is o?
-1, 1
Let u(x) be the first derivative of x**6/135 - 2*x**5/45 + x**4/18 + 4*x**3/27 - 4*x**2/9 - 27*x + 58. Let j(m) be the first derivative of u(m). Factor j(r).
2*(r - 2)**2*(r - 1)*(r + 1)/9
Let a(t) = 424*t + 2547. Let v be a(-6). Let g(s) be the first derivative of -2/21*s**v - 2/35*s**5 - 7 - 1/7*s**4 + 0*s + 0*s**2. Factor g(d).
-2*d**2*(d + 1)**2/7
Determine a so that 818/5*a**2 - 2/5*a**3 - 326*a + 814/5 = 0.
1, 407
Let i(t) be the first derivative of -25/3*t**3 - 5*t**2 - 5/2*t**6 + 0*t - 42 + 5*t**5 + 25/4*t**4. What is w in i(w) = 0?
-1, -1/3, 0, 1, 2
Let y be (90/(-36))/(3/144). Let n = 120 + y. Suppose -1/4*m**2 + 0 + n*m + 1/8*m**3 = 0. What is m?
0, 2
Factor -59/3 + 2/3*d**2 - 39*d - 1/3*d**5 + 19*d**4 + 118/3*d**3.
-(d - 59)*(d - 1)*(d + 1)**3/3
Suppose -2239 = -2*h - 7907. Let q be 10 + -8 + -1 + h/(-22). Suppose 0*c - 1470/11*c**5 - q*c**4 - 48/11*c**2 - 456/11*c**3 + 0 = 0. Calculate c.
-2/5, -2/7, 0
Let r(c) be the second derivative of 63/2*c**2 + 13/12*c**4 + 1/20*c**5 + 4 + 17/2*c**3 - 5*c. Let r(s) = 0. What is s?
-7, -3
Let g(k) be the third derivative of -k**6/30 + 7*k**5/3 - 29*k**4 + 10*k**2 - 102*k. Factor g(d).
-4*d*(d - 29)*(d - 6)
Let o = -1266 + 2320. Factor -3 - o*a**4 + a + 3 + a**2 + 1053*a**4 - a**3.
-a*(a - 1)*(a + 1)**2
Let n be 1 + (-2 - (-1 + -2))*(-63)/(-105)*5. Suppose -59/2*j**3 - 1711*j + 841 + 3597/4*j**2 + 1/4*j**n = 0. What is j?
1, 58
Suppose -633/4*q**3 + 0*q + 0*q**2 - 1/4*q**4 + 0 = 0. What is q?
-633, 0
Let s(q) be the third derivative of q**5/180 + 7*q**4/36 - 5*q**3/6 + 847*q**2. Suppose s(r) = 0. What is r?
-15, 1
Let j(s) = 2*s**3 - 118*s**2 + 782*s + 898. Let u = -36 - -34. Let v(t) = -t**3 - t**2 + t - 1. Let f(q) = u*v(q) + j(q). Factor f(y).
4*(y - 15)**2*(y + 1)
Factor 1/3*p**2 + 76/3 - 23/3*p.
(p - 19)*(p - 4)/3
Let z(t) be the first derivative of 3*t**4/16 + 28*t**3 - 375*t**2/8 - 1017*t - 4492. Factor z(r).
3*(r - 4)*(r + 3)*(r + 113)/4
Let o(q) = -6*q + 123. Let m be o(20). Let x(u) = 2*u**2 + 93*u - 98. Let b(w) = -5*w**2 - 185*w + 195. Let n(s) = m*b(s) + 5*x(s). Factor n(t).
-5*(t - 1)*(t + 19)
Let j(z) be the third derivative of z**6/120 - 11*z**5/20 + 121*z**4/8 + 11*z**3/2 - 2*z**2 + 5*z. Let g(n) be the first derivative of j(n). Factor g(c).
3*(c - 11)**2
Let s be 2/(-8)*(-136)/136*0. Solve -17/3*g + 1/3*g**2 + s = 0.
0, 17
Let m(g) be the first derivative of 7*g**5/20 + 39*g**4/8 - 9*g**3 - 34*g**2 + 70. Let b(o) be the second derivative of m(o). Suppose b(d) = 0. Calculate d.
-6, 3/7
Let g be (-24)/(-36)*(7/2 - -1). Solve 48 - 14*x + 2*x**g + 60 - 96 = 0.
-3, 1, 2
Let c(h) = -h**2 - 17*h + 5. Let q be c(-9). Suppose q*z = 72*z + 10. Find g, given that -29*g**2 - z*g**3 + 3*g - g**3 + 30*g**2 - 2 + g**4 = 0.
-1, 1, 2
Factor -105/4*b - 54 + 3/8*b**2.
3*(b - 72)*(b + 2)/8
Let c(i) be the first derivative of -i**3/3 + 2195*i**2 - 4818025*i + 899. Factor c(p).
-(p - 2195)**2
Let g = -2678 - -2683. Let h(p) be the second derivative of 0 - 1/5*p**5 + 0*p**3 + 0*p**4 + 0*p**2 + g*p - 2/15*p**6. Factor h(z).
-4*z**3*(z + 1)
Let q(c) be the second derivative of c**4/12 - 5*c**3 - 175*c**2/2 + 7714*c. Let q(j) = 0. What is j?
-5, 35
Find f, given that -1181*f - 6*f**3 + 3619*f - 1182*f + 30*f**2 - 2*f**4 - 60 - 1218*f = 0.
-5, -2, 1, 3
Let x(s) be the third derivative of s**5/12 + 305*s**4/4 - 1840*s**3/3 + 1711*s**2. Find o such that x(o) = 0.
-368, 2
Let j(h) be the third derivative of 0*h**3 + 0*h**5 + 1/30*h**7 - 1/60*h**6 + 0*h**4 - 20*h + 0 + 1/84*h**8 - h**2. Factor j(a).
a**3*(a + 2)*(4*a - 1)
Let v(z) = z**4 - z**2 - z. Let u(j) = -15*j**4 + 12*j**3 + 24*j**2 + 6*j - 9. Let n = 150 + -168. Let t(s) = n*v(s) - u(s). Factor t(x).
-3*(x - 1)*(x + 1)**2*(x + 3)
Let d(j) be the third derivative of 0 - 8/27*j**3 - 8/135*j**5 + 11/18*j**4 + 0*j - 207*j**2. Solve d(k) = 0 for k.
1/8, 4
Suppose -1620234*a = -1620243*a + 18. Solve 4*s + 1/2*s**4 - 5/2*s**3 + s**a + 0 = 0 for s.
-1, 0, 2, 4
Let 2/7*s**2 + 36/7*s - 234 = 0. What is s?
-39, 21
Determine k, given that 480 - 120845*k**3 + 2*k**4 + 60413*k**3 + 60386*k**3 - 632*k + 280*k**2 = 0.
2, 4, 15
Let r(x) be the first derivative of x**6/15 + 18*x**5/25 - 3*x**4/2 - 106*x**3/15 - 6*x**2 + 1875. Determine h so that r(h) = 0.
-10, -1, 0, 3
Determine u so that -91586/13*u**3 - 2/13*u**5 - 185760/13*u**2 + 860/13*u**4 - 93312/13*u + 0 = 0.
-1, 0, 216
Find y, given that y**3 + 136*y**2 + 1216*y + 4*y**3 - 6*y**2 + 1200 - y**3 + 186*y**2 = 0.
-75, -2
Let s be 377/(-182) + 2 + 969/42. Let m(q) be the first derivative of s + 2/51*q**3 - 2/17*q + 0*q**2. Let m(v) = 0. What is v?
-1, 1
Let f(x) be the third derivative of -9*x**7/280 - 873*x**6/160 - 1721*x**5/80 - 1047*x**4/32 - 95*x**3/4 + 82*x**2 + 3*x. Solve f(m) = 0 for m.
-95, -1, -2/3, -1/3
Let d = -1/831 + 1090/215229. Let p = 527/2331 - d. Factor 2/9*n**4 - 2/9*n - 4/9*n**2 +