*4 + 303*h**2 + q*h**3 - 297*h**2 - 2*h**4.
-3*h**2*(h - 2)*(h + 1)
What is z in -z**2 + 1641*z - 1237 - 3*z**2 - 623 + 223*z = 0?
1, 465
Factor -3/4*b**3 + 423*b**2 - 79524*b + 4983504.
-3*(b - 188)**3/4
Let m be ((-5)/((-25)/6))/(60/200). Determine d, given that -4*d + 3*d**5 - 21*d**3 + 303*d**4 + 30*d**2 + m*d**5 - 10*d**2 - 305*d**4 = 0.
-2, 0, 2/7, 1
Find q such that 0 + 0*q - 452/5*q**3 - 168/5*q**2 - 128/5*q**4 + 28/5*q**5 = 0.
-2, -3/7, 0, 7
Let a(r) = -7*r - 16. Let g be a(-6). Suppose 0 = -2*j - 5*l + g, 2*l - 11 = 3*j - 3*l. Solve 27/5*i**2 - 21/5*i + 3/5*i**4 + 6/5 - j*i**3 = 0.
1, 2
Let d(m) = -2*m**2 - 14*m - 2. Let v(w) = -18*w**2 - 4410*w + 1098. Let p(z) = -d(z) + v(z). Factor p(r).
-4*(r + 275)*(4*r - 1)
Let c = -6063 - -6077. Let m(k) be the first derivative of 5/4*k**4 - 6*k**2 + 4*k + k**3 - c. Factor m(a).
(a - 1)*(a + 2)*(5*a - 2)
Let p be 13/(-6) + 40670/14700. Find u, given that p*u**4 - 6/5*u**2 + 12/5*u**3 - 36/5*u + 27/5 = 0.
-3, 1
Solve -1/3*r**4 + 343/3*r**2 - 114*r**3 + 0 + 0*r = 0.
-343, 0, 1
Let a = 36097/3 + -12031. Let s(t) be the first derivative of -1/9*t**3 + a*t - 1/2*t**2 + 16. Factor s(v).
-(v - 1)*(v + 4)/3
Let p(v) be the second derivative of v**7/630 - v**6/135 - v**5/90 + v**4/9 - v**3/3 + 7*v**2 - 44*v. Let t(x) be the second derivative of p(x). Factor t(r).
4*(r - 2)*(r - 1)*(r + 1)/3
Let u be (-820)/6765*22/(-3). Let -10/9 + u*s + 2/9*s**2 = 0. Calculate s.
-5, 1
Let n(p) = 20*p**2 - 45*p + 73. Let f(u) be the first derivative of -2*u**3/3 + u**2/2 - u - 136. Let h(m) = 18*f(m) + 2*n(m). Suppose h(q) = 0. What is q?
2, 16
Let w = 1/3730 - -931/5595. Factor 5/6*j + w*j**3 + 2/3*j**2 + 1/3.
(j + 1)**2*(j + 2)/6
Let b(d) = -12*d**2 - 351*d + 11. Let j(n) = -11*n**2 - 347*n + 8. Let c(f) = 5*b(f) - 4*j(f). Solve c(u) = 0 for u.
-23, 1/16
Suppose 1 = 4*p + l, 4*p + 922*l = 919*l - 13. Suppose 1/3*u**p - 7/3*u + 4 = 0. What is u?
3, 4
Determine y so that 4*y + 57*y**2 - 59*y**2 + 5*y**2 - 55 = 0.
-5, 11/3
Let n(k) = -3*k - 1. Let r be n(-1). Suppose 0 = 2597*z - 2590*z - 77. Let -z*a - 7*a**2 - a + 3*a**r = 0. What is a?
-3, 0
Let g(j) be the third derivative of -j**5/210 + 251*j**4/84 - 250*j**3/21 + 366*j**2 - 7. Factor g(t).
-2*(t - 250)*(t - 1)/7
Let g be (-12)/(-10) + 35/((-7000)/240). Factor -2/7*j**4 + 8/7*j**2 + g + 0*j + 0*j**3.
-2*j**2*(j - 2)*(j + 2)/7
Let a(v) = 4*v**2 + 4*v + 6. Suppose -9*n + 21 = -12*n. Let l(p) = 2 - 4*p - 2 - 5 - 1 - 5*p**2. Let b(g) = n*a(g) - 6*l(g). Suppose b(r) = 0. Calculate r.
-1, 3
Let a(m) be the third derivative of 7*m**8/24 + 314*m**7/5 + 10273*m**6/60 + 142*m**5 + 133*m**4/3 + m**2 + 44*m. Determine j so that a(j) = 0.
-133, -1, -2/7, 0
Let u(a) be the second derivative of a**9/98280 + a**8/21840 + a**7/16380 + a**4/4 - a**3/3 + 8*a - 4. Let m(b) be the third derivative of u(b). Factor m(q).
2*q**2*(q + 1)**2/13
Factor -45*s**3 + s**5 + 77*s**2 + 17*s + 24*s**2 + 72 + 120*s - 309*s + 41*s**2 + 2*s**4.
(s - 2)**3*(s - 1)*(s + 9)
Let d(a) be the second derivative of -a**6/60 - 7*a**5/8 + 151*a**4/24 - 193*a**3/12 + 39*a**2/2 + 2723*a. Solve d(n) = 0 for n.
-39, 1, 2
Let v = -214 + 225. Suppose 0 = u - 4*j + 13, -33*u = -38*u + j + v. Solve 1/4*h**2 + 0*h - 1/2*h**5 + 0*h**u + 0 - 3/4*h**4 = 0 for h.
-1, 0, 1/2
Let v(d) = -2*d**3 - 6*d + 5. Let b be v(3). Let t = 189 + b. Factor -7*s - s**2 - t + 122.
-s*(s + 7)
Let p(u) be the third derivative of 1/40*u**6 - 1/10*u**5 + 0*u - 1/8*u**4 + u**3 - 78*u**2 + 0. Factor p(y).
3*(y - 2)*(y - 1)*(y + 1)
Let c(z) be the first derivative of -z**6/14 - 3*z**5/5 + 123*z**4/28 - 37*z**3/7 - 60*z**2/7 + 132*z/7 - 3032. Let c(x) = 0. What is x?
-11, -1, 1, 2
Let o(t) = -120*t + 5882. Let x be o(49). Let h(b) be the second derivative of -1/3*b**4 + 4*b - 4/3*b**3 + 0 - x*b**2. What is f in h(f) = 0?
-1
Let t(j) be the first derivative of -j**3/6 - 769*j**2/4 - 4324. What is f in t(f) = 0?
-769, 0
Let i(b) = 31*b - 3219. Let u be i(104). Let n(o) be the second derivative of 1/18*o**4 + 21*o - 2/9*o**3 + 0 + 0*o**2 + 1/10*o**u. Let n(x) = 0. What is x?
-1, 0, 2/3
Let q(u) be the first derivative of u**7/1680 - u**6/240 - 3*u**5/40 + 13*u**3 + 5*u**2/2 + 189. Let j(i) be the third derivative of q(i). Factor j(r).
r*(r - 6)*(r + 3)/2
Suppose 109 - 1639 = 9*w. Let c = -168 - w. Determine k, given that -10 - 2/5*k**c + 4*k = 0.
5
Let b be 4994/6 - -4 - 2/6. Factor -839*t**3 - 173*t + b*t**3 - 127*t + 60*t**2.
-3*t*(t - 10)**2
Let g(q) be the third derivative of -1/3*q**5 + 0*q**4 + 0*q**3 - 1/3*q**6 - 5/336*q**8 + 0 + 0*q - 40*q**2 - 5/42*q**7. What is d in g(d) = 0?
-2, -1, 0
Let h(v) be the first derivative of -1681*v**5/35 - 8569*v**4/28 - 824*v**3/21 - 10*v**2/7 - 1760. Determine s, given that h(s) = 0.
-5, -2/41, 0
Let h be (5/30*183)/(3/6). Let -25*c**2 - h*c**2 + 11*c**2 - 3*c**4 - 40*c + 78 + 2*c**3 - 5*c + 43*c**3 = 0. What is c?
-1, 1, 2, 13
Factor -3/4*u**4 + 108*u + 3/4*u**3 + 42*u**2 + 0.
-3*u*(u - 9)*(u + 4)**2/4
Let l(t) be the second derivative of -5*t**6/36 - 3*t**5/4 + 13*t**4/24 - t**3/9 - 976*t. Factor l(w).
-w*(w + 4)*(5*w - 1)**2/6
Suppose -52*t = 2*h - 54*t + 8, 2*h - 4*t + 20 = 0. Let p(a) be the second derivative of -2/3*a**3 - a**5 + 0 + 4*a**h + 27*a - 8/3*a**4. Factor p(u).
-4*(u + 1)**2*(5*u - 2)
Let l(r) be the second derivative of -23 + 4*r - 1/2*r**3 + 0*r**4 + 3/140*r**5 - 9/7*r**2. Solve l(v) = 0 for v.
-2, -1, 3
Let i(m) = -7*m - 26. Suppose -5*f + 0*c = 4*c + 18, -4*c + 12 = 0. Let g be i(f). Factor 12*d**2 + 12 + d**2 - 11*d**2 + g*d + 2*d**2.
4*(d + 1)*(d + 3)
Factor 3*y**5 + 1023*y**4 - 14807*y + 7065*y + 3093*y**2 + 6710*y - 3087*y**3.
3*y*(y - 1)**3*(y + 344)
Factor 0 + 2/7*x**2 - 8*x.
2*x*(x - 28)/7
Let j(x) be the third derivative of x**5/210 - 41*x**4/42 + 27*x**3/7 + 3*x**2 + 23*x + 4. Factor j(v).
2*(v - 81)*(v - 1)/7
Let o = 24120 - 24120. Let q(w) be the third derivative of 1/10*w**5 + 0*w + o*w**6 + 31*w**2 + 0 - 1/2*w**3 + 0*w**4 - 1/70*w**7. Let q(r) = 0. Calculate r.
-1, 1
Let d = 415 - 414. Let k be -4*d - (-12)/15*5. Solve -5/2*y + k - 5/4*y**2 = 0 for y.
-2, 0
Let t(f) = f**2 - 17*f - 266. Let r be t(-10). Let z be (310/124)/((-8)/(-6)) + (-1)/(-8). Factor 7/3*a**3 - 10/3 - 11*a**z + a**r + 11*a.
(a - 1)**2*(a + 5)*(3*a - 2)/3
Let t = 41 + 107. Factor 28*m + t*m**2 + 24 - 299*m**2 + 155*m**2.
4*(m + 1)*(m + 6)
Suppose 0 = -14*q + 165 + 17. Let i(a) be the first derivative of -3/2*a**4 + 3*a + 0*a**3 - 3/5*a**5 - q + 3*a**2. What is c in i(c) = 0?
-1, 1
Let s(y) = -6*y**2 + 22*y - 36. Let i(l) = -7*l**2 + 21*l - 38. Let d be (42/(-12))/7*4. Let c(b) = d*i(b) + 3*s(b). Factor c(r).
-4*(r - 4)*(r - 2)
Let t(c) be the second derivative of -5*c**8/672 + c**7/28 - c**5/6 + 29*c**2 - 43*c. Let m(d) be the first derivative of t(d). Factor m(l).
-5*l**2*(l - 2)**2*(l + 1)/2
Let p(r) be the first derivative of r**6/360 + 7*r**5/40 - 11*r**4/12 - 112*r**3/3 + 6. Let z(d) be the third derivative of p(d). Find g, given that z(g) = 0.
-22, 1
Suppose -3*f - 5*p = 85, 11 = 4*p + 31. Let v be 120/(-180) - f/18. Determine j so that 0*j + 0 - 8/9*j**4 + 4/9*j**3 + v*j**5 + 0*j**2 = 0.
0, 1
Let w(u) be the third derivative of -7*u**5/510 + 1369*u**4/51 - 92*u**3/3 + 7*u**2 - 2*u + 13. Factor w(y).
-2*(y - 782)*(7*y - 2)/17
Let r(p) be the first derivative of 2/3*p**3 - 75 - 24*p + 11*p**2. Factor r(m).
2*(m - 1)*(m + 12)
Let f = 3163 + -1565686/495. Let q = 119/99 + f. Let -q + 1/5*a + 1/5*a**2 = 0. Calculate a.
-3, 2
Let z be -491 - -470 - (-23)/1. Let q be (1/7)/((-1)/(-2)). Let -8/7*b**z - q*b**3 - 10/7*b - 4/7 = 0. Calculate b.
-2, -1
Let l be 45/(-60) + 4983/44. Let f(v) be the third derivative of -135/2*v**3 - 225/2*v**5 + 0 - 625/42*v**7 + 125/2*v**6 + 0*v + l*v**4 + 3*v**2. Factor f(k).
-5*(5*k - 3)**4
Let s(i) = -8*i**3 + 6*i**2 - 4. Let k(a) = -a**3 + a - 1. Let z = 228 - 222. Let f(w) = z*k(w) - s(w). Let f(y) = 0. What is y?
1
Suppose -3*y + 1317 = 5*a - 2*a, -3*y = 4*a - 1754. Suppose 5*x + 5*s + 10 = 0, 0 = 4*x + a*s - 432*s + 10. Factor 22/5*h + 2/5*h**2 + x.
2*h*(h + 11)/5
Let g be (-674808)/(-277542) + (-13)/17 + 1. Factor -g*x + 4/3 + 5/3*x**2 - 1/3*x**3.
-(x - 2)**2*(x - 1)/3
Let s(l) be the first derivative of 2*l**3/9 - 376*l**2 + 212064*l + 728. Factor s(f).
2*(f - 564)*