f*r. What is h in 0 - r*h - 5/2*h**2 + 5/2*h**3 = 0?
-2, 0, 3
Let u(r) be the second derivative of -13*r**4/15 - 36*r**3/5 - 16*r**2/5 + 199*r. Factor u(w).
-4*(w + 4)*(13*w + 2)/5
Let r(u) be the second derivative of u**7/42 - u**6/15 - u**5/20 + u**4/6 - 455*u - 1. Factor r(v).
v**2*(v - 2)*(v - 1)*(v + 1)
Let v = 56 + -54. Suppose 1 = -2*m + d + v, 4*d - 17 = m. Determine x so that 0*x - 5*x + 5*x + 5*x**m + 5*x**4 = 0.
-1, 0
Suppose -2*b + 2*g + 2*g = 118, 3*b - g = -187. Let z be 6 + ((-700)/b)/(-2). Solve -10/9*w - 14/9*w**2 + z = 0 for w.
-1, 2/7
Let s = -4/2127 + 2147/10635. Determine i so that 8/5*i**3 - 7/5*i - s*i**5 - 14/5*i**2 + 4/5*i**4 + 2 = 0.
-2, -1, 1, 5
Solve -6/13*z**4 + 6/13*z**2 - 20/13*z + 0 + 22/13*z**3 - 2/13*z**5 = 0 for z.
-5, -1, 0, 1, 2
Let t(b) be the third derivative of b**8/1176 - 4*b**7/245 + 11*b**6/140 - b**5/105 - 4*b**4/7 + 5*b**2 + 9*b - 12. What is i in t(i) = 0?
-1, 0, 2, 3, 8
Let z(o) = -2*o**2 + 16*o - 3. Let t(x) = x**2 + 4*x + 1. Let w(k) = -3*t(k) - z(k). Determine s, given that w(s) = 0.
-28, 0
Determine f so that 5*f**4 + 1620*f + 40*f**3 - 33*f**3 - 72*f**3 - 5400 + 90*f**2 = 0.
-5, 6
Let l(s) be the third derivative of -s**10/20160 + s**9/5040 - s**8/4480 - 5*s**4/4 + 65*s**2. Let p(g) be the second derivative of l(g). Factor p(x).
-3*x**3*(x - 1)**2/2
Let y be (80/(-50)*(-2)/(-6))/(21*52/(-910)). Factor -2/9*o**3 + 4/9*o**2 + 2/9*o - y.
-2*(o - 2)*(o - 1)*(o + 1)/9
Let h(k) = -k**3 - 8*k**2 - 21*k - 69. Let j be h(-7). Suppose 2*v + 2*v + j + 40 - 77 + 4*v**2 = 0. What is v?
-2, 1
Let a(i) be the third derivative of -i**8/672 + i**7/84 - i**5/6 + i**4/3 + 827*i**2. Determine m so that a(m) = 0.
-2, 0, 1, 2, 4
Factor -34 + 27*u**2 + 20*u**2 - 11*u**2 + 48*u**2 - 4*u**3 + 110 - 156*u.
-4*(u - 19)*(u - 1)**2
Suppose 279 = -30*l + 1329. Suppose -58*w**3 - 70*w + 40 - 24*w**3 + l*w**4 + 2*w**3 - 225*w**2 = 0. What is w?
-1, 2/7, 4
Let d(t) be the third derivative of -t**6/60 + t**5/3 + t**4/3 - 68*t**2. Let y(u) = -u. Let f(r) = -d(r) - 8*y(r). Factor f(z).
2*z**2*(z - 10)
Let i(a) be the second derivative of -a**6/240 + 47*a**5/40 - 2209*a**4/16 - 7*a**3/3 - 3*a**2 + 251*a. Let g(y) be the second derivative of i(y). Factor g(w).
-3*(w - 47)**2/2
Suppose -156 = 13*m - 0*m. Let i be 1264/79*(-1)/m. Solve -32/3*c**3 + 14*c**2 + 8/3*c**4 - 22/3*c + i = 0.
1/2, 1, 2
Suppose -3*h = o + 27, -18 = 3*h - h - 5*o. Let w be (-14 + 2)*h/36. Factor -2 + 2 - s**4 + 15*s + s**w + 5*s**2 - 12*s.
-s*(s - 3)*(s + 1)**2
Let f(b) be the third derivative of -b**8/840 - 6*b**7/175 - 19*b**6/60 - 71*b**5/75 + 8*b**4/5 + 32*b**3/3 + b**2 + 384*b. Let f(k) = 0. What is k?
-10, -4, -1, 1
Let r = 36874 - 36829. Let j(u) be the second derivative of 0*u**2 + 0 + 1/90*u**5 - 1/18*u**4 - r*u + 0*u**3. Factor j(w).
2*w**2*(w - 3)/9
Let x(s) be the second derivative of 11/10*s**6 + 0*s**2 + 0 - 1/14*s**7 + 17*s**4 - 20*s**3 - 63/10*s**5 + 49*s. Factor x(i).
-3*i*(i - 5)*(i - 2)**3
Let c(b) be the second derivative of -2*b**3 - 1/12*b**4 + 0*b**2 + 23*b + 0. Factor c(i).
-i*(i + 12)
Let i(w) be the third derivative of 1/40*w**6 + 0 - 3/70*w**7 + 1/112*w**8 + 0*w + 9*w**2 + 3/20*w**5 - 1/4*w**4 + 0*w**3. Let i(p) = 0. What is p?
-1, 0, 1, 2
Let m = -145 - -145. Let t(q) be the third derivative of 0 - 1/480*q**5 + 0*q**3 + 4*q**2 - 1/96*q**4 + 1/960*q**6 + m*q. Determine o, given that t(o) = 0.
-1, 0, 2
Factor 1320/7*y + 3872/7 + 2/7*y**3 + 96/7*y**2.
2*(y + 4)*(y + 22)**2/7
Let r = 23 + -22. Suppose 0 = -x - 4*u - 6, -5*x + r = u - 7. Find t, given that 3*t**2 - 5*t**2 + t**2 + 2 + x*t - t = 0.
-1, 2
Let u(k) be the second derivative of 9/20*k**5 - 2/5*k**3 + 0*k**4 + 0*k**2 + 17 - 2*k - 1/10*k**6 - 3/35*k**7. Determine x, given that u(x) = 0.
-2, -1/2, 0, 2/3, 1
Let a(j) = -5*j**2 + 15*j + 18. Let p(d) = -6*d**2 + 16*d + 16. Let n = -480 + 485. Let b(h) = n*a(h) - 4*p(h). Solve b(t) = 0.
-2, 13
Let z(s) be the first derivative of 5*s**3/3 + 85*s**2 + 165*s + 3267. Solve z(j) = 0 for j.
-33, -1
Let j be (80/(-120))/((-2)/(-15)) - -170. Suppose 63*n = -39 + j. Determine w so that 1/3 + 1/3*w**n + 2/3*w = 0.
-1
Determine c, given that -6*c**3 + 45*c - 6*c**4 + 24*c**2 - 3*c**4 + 3*c**5 + 12*c**2 - 69*c = 0.
-2, 0, 1, 2
Let u(i) be the second derivative of i**5/150 + 8*i**4/15 + 64*i**3/5 - 165*i. Factor u(c).
2*c*(c + 24)**2/15
Solve 67/2*r**2 + 1/2*r**3 - 3675/2 + 1015/2*r = 0.
-35, 3
Let v(j) be the third derivative of j**6/1140 + 81*j**5/95 + 6561*j**4/19 + 1417176*j**3/19 + 14*j**2 - 44. Factor v(q).
2*(q + 162)**3/19
Suppose -2/11*q**3 - 108/11*q + 0 + 42/11*q**2 = 0. Calculate q.
0, 3, 18
Let a(v) be the second derivative of 3*v**2 + 35*v + 3/2*v**3 + 1/4*v**4 + 0. Factor a(c).
3*(c + 1)*(c + 2)
Suppose 0*j + 110 = -2*j + 5*n, -4*n + 112 = -2*j. Let m be 44/6 - 40/j. Let b - 2*b**2 - m*b**3 + 9*b**3 - 4*b = 0. Calculate b.
-1, 0, 3
Suppose -63 = -r + 3*d, 189 = 3*r - 5*d + 20. Let a(c) be the first derivative of 3/2*c**4 - 17 - r*c - 4*c**3 - 28*c**2 + 2/5*c**5. Factor a(x).
2*(x - 3)*(x + 2)**3
Let b(q) = -41*q - 412. Let c be b(-10). Let v be ((-35)/210)/(1/c). Determine i, given that -25/3 - v*i**2 + 10/3*i = 0.
5
Suppose 0 = -4*c + 204 - 156. Suppose -16 = -5*x - 4*l + 8*l, 3*l + c = 0. Solve -2/7*h - 6/7*h**3 + 6/7*h**2 + 2/7*h**4 + x = 0.
0, 1
Determine l so that 76*l + 312/5 + 56/5*l**2 - 12/5*l**3 = 0.
-3, -1, 26/3
Let f be (-2552)/(-110) + -10 - (-8 - -20). What is d in -2/5*d**2 + 8/5*d - f = 0?
1, 3
Let n(p) = 7*p**2 - 9*p - 5. Let m(b) be the third derivative of 7/6*b**3 + 0 + 3*b**2 + 13/24*b**4 - 1/6*b**5 + 0*b. Let s(a) = 5*m(a) + 7*n(a). Factor s(v).
-v*(v - 2)
Let i be (-46)/(-10) + 66/(-110). Let f(h) = -5*h**2 + 76*h - 199. Let a(m) = 70*m**2 - 1065*m + 2785. Let t(p) = i*a(p) + 55*f(p). Factor t(j).
5*(j - 13)*(j - 3)
Suppose -3*x = 10 - 34. Let v be (-5)/(-5)*x*2/2. Suppose -17*j - v*j**3 - 15*j + 35*j + 0*j**2 - 2*j**2 = 0. What is j?
-3/4, 0, 1/2
Let r be ((-43)/5 - (-16)/(-40)) + 0. Let u be 45/(-4)*(r + 250/30). Determine w so that 3/2*w**2 + u*w - 3/2*w**3 + 9/2 = 0.
-1, 3
Let g(r) be the third derivative of -r**5/210 - 131*r**4/84 + 38*r**3/3 - 1732*r**2. Factor g(j).
-2*(j - 2)*(j + 133)/7
Let x(v) be the third derivative of v**5/210 - 37*v**4/84 + 46*v**3/3 - 5*v**2 - 222. Factor x(b).
2*(b - 23)*(b - 14)/7
Factor 5*r**5 + 3845*r**4 + 142 + 4440 + 15330*r**3 + 210048*r**2 + 15305*r - 187078*r**2 - 757.
5*(r + 1)**4*(r + 765)
Let r(j) be the second derivative of -j**4/6 + j**3 + 180*j**2 + 570*j - 2. Factor r(t).
-2*(t - 15)*(t + 12)
Suppose 43*b = 67*b - 120. Suppose b*o - 8 = 12. What is d in -1/3*d**3 + 64/3 - 16*d + o*d**2 = 0?
4
Let a(y) be the third derivative of 29/3*y**5 + 1/84*y**8 + 2/7*y**7 + 20*y**4 + 0*y + 5/2*y**6 + 0 - 263*y**2 + 24*y**3. Factor a(q).
4*(q + 1)**3*(q + 6)**2
Let t(v) = 19*v**3 - 104*v**2 - 305*v - 224. Let c(q) = 4*q**3 - 21*q**2 - 61*q - 45. Let f(y) = 42*c(y) - 9*t(y). Let f(h) = 0. Calculate h.
-2, -1, 21
Let k be ((-6)/(-35))/(3/10). Let s = -400746/7 - -57250. Suppose -k*c - 1/7*c**2 - s = 0. What is c?
-2
Factor -1/4*z**3 - 387/4*z**2 + 0*z + 0.
-z**2*(z + 387)/4
Let t(b) be the first derivative of b**4/6 - 2*b**3/3 - 73*b + 42. Let m(f) be the first derivative of t(f). Factor m(k).
2*k*(k - 2)
Let f(i) be the second derivative of -i**6/180 - 23*i**5/120 + i**4/72 + 23*i**3/36 - 1146*i. Factor f(n).
-n*(n - 1)*(n + 1)*(n + 23)/6
Let l be -8*((-1173)/(-85) - 14). Let q(j) be the first derivative of 6/5*j + 3/5*j**4 + 2*j**2 + l*j**3 + 2/25*j**5 - 17. Factor q(d).
2*(d + 1)**3*(d + 3)/5
Let d(b) be the first derivative of 3*b**4/8 + 153*b**3/2 - 566. Solve d(i) = 0 for i.
-153, 0
Factor 198/5*m + 0 + 2/5*m**3 - 40*m**2.
2*m*(m - 99)*(m - 1)/5
Find y, given that -44/5*y**2 - 2/15*y**3 + 18*y - 136/15 = 0.
-68, 1
Suppose 4*r - 4*x = -15 + 3, -x + 15 = 5*r. Determine z so that -107 - 2*z**r + 214 - 22*z - 107 = 0.
-11, 0
Let x(t) = 4*t**2 + 24*t + 4. Suppose 2*p - 262 = -268. Let k(r) = -4*r**2 - 24*r - 6. Let c(y) = p*x(y) - 2*k(y). Suppose c(q) = 0. What is q?
-6, 0
Let j(q) = -q**2 - 40*q - 322. Let r be j(-17). Let z be 36/15*23/r. Factor -z*h**3 + 0*h + 0 - 8/5*h**2.
-4*h**2*(h + 2)/5
Let q = 1/192578 + 385153/577734. Let 2*t - 4/9 - 8/9*t**3 - q*t**2 = 0. Ca