 v = -2*c - n. Factor -5/3*a**4 + 0*a - 2/3*a**3 + v*a**2 + 0 + 7/3*a**5.
a**3*(a - 1)*(7*a + 2)/3
Suppose -640 = 44*g - 200. Let o be ((-161)/(-35) + g)*5/(-12). Solve -o - 5/2*s - 1/4*s**2 = 0.
-9, -1
Factor 244*b + 4*b**5 + 144*b**3 - 20*b**4 - 172*b**3 + 20*b**2 - 220*b.
4*b*(b - 6)*(b - 1)*(b + 1)**2
Determine m so that -1764/5 + 58/5*m**4 - 2382/5*m**3 + 23982/5*m + 23306/5*m**2 = 0.
-1, 2/29, 21
Let i(w) be the second derivative of 2*w**6/15 + 88*w**5/5 + 840*w**4 + 59584*w**3/3 + 252448*w**2 - 3010*w. Factor i(p).
4*(p + 14)**3*(p + 46)
Let q(z) be the second derivative of 250*z**4/3 - 80*z**3/3 + 5*z**2/2 + 310*z. Let a = 49 + -29. Let t(f) = -f**2 + f. Let x(c) = a*t(c) + q(c). Factor x(i).
5*(14*i - 1)**2
Let j(w) = -4*w**2 - 40*w + 18. Let n be j(-10). Let u be n*(-8)/(-192) + 0/(-1). Let -3/2*a + u*a**3 + 0 + 3/4*a**2 = 0. Calculate a.
-2, 0, 1
Let t = -90 - -101. Let a(o) = 13*o**3 - 7*o**2 + 16*o - 6. Let s(y) = -24*y**3 + 14*y**2 - 31*y + 11. Let h(l) = t*a(l) + 6*s(l). Find j, given that h(j) = 0.
0, 2, 5
Suppose -3184 + 1550 = -35*t - 1494. Let 1/3*l**t - 16/3*l - 4 - 1/3*l**2 + 4/3*l**3 = 0. What is l?
-3, -2, -1, 2
Let v be (-4)/(-66)*990/120. Find t, given that 0 - v*t**2 + 5*t = 0.
0, 10
Let y = 33 - -12. Suppose 3*b**3 + 19*b**4 - y*b**4 + b**3 + 24*b**4 = 0. What is b?
0, 2
Let d(g) be the first derivative of 11/6*g**3 + 0*g**2 + 70 + 0*g + 3/4*g**4. Factor d(m).
m**2*(6*m + 11)/2
Let t(c) be the third derivative of 199*c**2 - 1/54*c**4 + 7/270*c**5 + 0*c**3 - 1/108*c**6 + 0 + 0*c. Factor t(u).
-2*u*(u - 1)*(5*u - 2)/9
Suppose 41*b = 180 - 98. Let o(h) be the second derivative of -2/3*h**4 - 1/10*h**5 + 12*h - 5/3*h**3 - b*h**2 + 0. Suppose o(k) = 0. Calculate k.
-2, -1
Let x = -1331/1008 - -95/63. Let u(y) be the third derivative of -1/40*y**5 - 4*y**2 + x*y**4 + 0 + y**3 + 0*y. Factor u(l).
-3*(l - 4)*(l + 1)/2
Let i(h) be the third derivative of h**8/84 + 44*h**7/105 + 4*h**6/3 - 848*h**5/15 + 1064*h**4/3 - 3136*h**3/3 - 5*h**2 - 5. Solve i(v) = 0 for v.
-14, 2
Suppose 3705*w + 724*w**3 + 1868*w**3 - 4*w**4 + 1165*w + 0*w**4 - 10316*w**2 + 2858*w = 0. Calculate w.
0, 1, 3, 644
Let n be -4 + ((-145)/15 - (2 - 17)). Solve 2/3*a**5 + n*a**4 - 2/3*a**3 - 4/3*a**2 + 0*a + 0 = 0.
-2, -1, 0, 1
Let m(t) = 4*t**4 - 5*t**4 - 9*t - 9*t**2 - 25*t**3 + 9 + 27*t**3. Let y(h) = -h**2 - h + 1. Let c(i) = -2*m(i) + 18*y(i). Factor c(b).
2*b**3*(b - 2)
Factor 46225/3*k - 9938375/9 - 215/3*k**2 + 1/9*k**3.
(k - 215)**3/9
Let o(h) = 12*h**3 - 3*h**2 - 19*h - 10. Let l be o(-4). Let g = l - -8252/11. Factor 10/11*d - g*d**2 - 8/11.
-2*(d - 4)*(d - 1)/11
Let t = -46 + 48. Suppose -t*k - 18 = -8*k. Factor 5*b**2 + 10 - 4*b**2 - 14 + k*b.
(b - 1)*(b + 4)
Let -155*n**4 - 80/3 + 25/6*n**5 - 1366/3*n**2 - 186*n - 2731/6*n**3 = 0. What is n?
-1, -2/5, 40
Let c(s) be the second derivative of s**6/15 + 121*s**5/15 + 14881*s**4/54 + 9680*s**3/27 + 1600*s**2/9 + 22*s - 25. Factor c(x).
2*(x + 40)**2*(3*x + 1)**2/9
Factor -3/2*l**2 - 996 + 255*l.
-3*(l - 166)*(l - 4)/2
Let z = -178 - -183. Find c such that -115*c**2 + 2*c + 487*c + z*c**3 + 111*c + 174 + 546 = 0.
-1, 12
Let h(a) be the first derivative of -2*a**5/105 + 4*a**4/21 + 4*a**3/63 - 24*a**2/7 + 6*a + 862. Find v such that h(v) = 0.
-3, 1, 3, 7
Factor -46*i**2 + 660*i + 216 + 107*i**2 + 44*i**3 - 533*i**2.
4*(i - 9)*(i - 2)*(11*i + 3)
Let i(j) = -2*j + 18. Let r be i(9). Suppose r*q + 3 = q. Factor 0 - q - 6*s + 1 + 3*s**2 + 5.
3*(s - 1)**2
Factor -25*q**4 - 34*q**4 + 312*q**3 + 645*q**2 - 12*q + 83*q**4 - 27*q**4 - 942*q.
-3*q*(q - 106)*(q - 1)*(q + 3)
Let g(r) be the third derivative of -r**8/1680 - 3*r**7/700 + 49*r**6/600 - 43*r**5/200 - 3*r**4/8 + 3267*r**2. Solve g(n) = 0.
-10, -1/2, 0, 3
Factor 12*s**2 - 108 + 27/2*s - 3/2*s**3.
-3*(s - 8)*(s - 3)*(s + 3)/2
Suppose 984*j - 983*j - 15 = 0. Let c(w) be the second derivative of -1/180*w**6 + 0*w**2 - 1/36*w**4 + 0 + 0*w**3 - 1/40*w**5 + j*w. Factor c(l).
-l**2*(l + 1)*(l + 2)/6
Let t(v) = -9*v**2 + 764*v - 15884. Suppose b + 12 = 2*i, -5*b + b - 16 = -4*i. Let f(k) = 6*k**2 - 509*k + 10589. Let x(h) = i*f(h) + 5*t(h). Factor x(g).
3*(g - 42)**2
Let i(q) be the first derivative of -q**3 + 0*q + 96 + 1/20*q**4 + 7/5*q**2. Suppose i(k) = 0. Calculate k.
0, 1, 14
Let b = -10847 + 10874. Let g(s) be the first derivative of 2/15*s**3 + 4/5*s**2 + 6/5*s - b. Suppose g(l) = 0. Calculate l.
-3, -1
Suppose 5*j - 4*x + 2 = 0, 2 = -7*j + 11*j - 2*x. What is v in -12*v + 42*v**j + 6*v**2 - 3315*v**3 + 3342*v**3 = 0?
-2, 0, 2/9
Let t(b) = -b**2 + b. Let r(m) = 16 - m + 12*m**2 - 23*m + 12 - 46. Let z(l) = -r(l) - 9*t(l). Let z(d) = 0. What is d?
-1, 6
Let k(d) = 3*d**2 + d + 2. Let c(s) = -16*s**2 + 533*s - 269. Let q(b) = -c(b) - 2*k(b). Factor q(f).
5*(f - 53)*(2*f - 1)
Let -362*w + 76*w + 408 - 429*w - w**3 + 232*w - 2*w**3 + 78*w**2 = 0. What is w?
1, 8, 17
Suppose -3*c - 5 = -29. Let s = -6896 + 6900. Suppose 6*l**s + 8*l**3 - c*l**3 - 4*l**3 - 2*l**5 = 0. What is l?
0, 1, 2
Let q(m) = 120*m**3 + 3260*m**2 + 18035*m + 26045. Let c(h) = 7*h**3 + 192*h**2 + 1061*h + 1532. Let f(i) = 35*c(i) - 2*q(i). Factor f(w).
5*(w + 3)**2*(w + 34)
Let z be (-14)/(-78) + (831/554 - (-3)/18). Suppose -22/13 - z*n - 2/13*n**2 = 0. What is n?
-11, -1
Let y be 6/(5 + -2) - -3. Suppose -j - y*f + 44 = 2*j, -10 = -j + 3*f. Let 72 - 10*a + 2*a**2 + 18*a + j*a + 3*a = 0. What is a?
-6
Suppose -c + 17 + 1 = 0. Let b = 26 - c. Determine j, given that 12*j**3 + 2*j**2 + 42*j**2 + 28*j**3 - 4*j - b = 0.
-1, -1/2, 2/5
Let f(g) = -13*g**2 + g - 2. Let n be f(-2). Let w = 56 + n. Determine s so that -20*s**3 + 21*s**3 + s**2 + w*s - s - s**4 = 0.
-1, 0, 1
Suppose -3*a + 20 = 5*n, n + 13*a - 17 = 15*a. Suppose 18*m**3 - 2*m**2 + 2*m**4 - 10*m**5 + m + 9*m**5 - n*m**5 - 11*m = 0. Calculate m.
-1, 0, 1, 5/4
Suppose -102*h + 101*h + 301 = 0. Let n = h + -301. Find m, given that -2/5*m**5 + n + 2/5*m**2 + 2/5*m**3 - 2/5*m**4 + 0*m = 0.
-1, 0, 1
Let m = 5519567/5 + -1103913. Determine f so that -64/5*f - m*f**2 - 512/5 = 0.
-16
Let v(z) = 4679*z + 285424. Let t be v(-61). Factor 0 + 5/2*m - 6/5*m**4 - 6*m**2 + 1/10*m**t + 23/5*m**3.
m*(m - 5)**2*(m - 1)**2/10
Let f = 4140 + -4137. Let o(j) be the first derivative of 3/14*j**2 - 20 + 2/7*j + 1/21*j**f. Factor o(n).
(n + 1)*(n + 2)/7
Let u(m) be the first derivative of m**5/10 - 2*m**4 - 9*m**3 - 14*m**2 - 38*m + 95. Let q(p) be the first derivative of u(p). Factor q(t).
2*(t - 14)*(t + 1)**2
Let i(b) be the first derivative of b**4/24 - b**3/2 - 79*b**2/3 + 110*b + 1228. Factor i(t).
(t - 22)*(t - 2)*(t + 15)/6
Let k = 736 + -725. Let q be 0 - (-3 - -1)/1. Find g such that -k*g**2 + 8*g**q + 15*g + 9*g + 0*g**2 = 0.
0, 8
Suppose -275*t = -279*t + 24. Let s be t + (-5)/15 - 3. Solve -2*a + s - 2/3*a**2 = 0 for a.
-4, 1
Factor 12 - 310 - 3 + 2312*g - 25 - 186 - 36*g**2.
-4*(g - 64)*(9*g - 2)
Let h(q) be the third derivative of 64*q**5/5 + 204*q**4 + 2601*q**3/2 + q**2 + 3*q + 456. Let h(r) = 0. What is r?
-51/16
Let v = -2379 + 2388. Let p(r) be the second derivative of 0 - 9*r - 1/3*r**4 - 5/2*r**3 + v*r**2 + 1/5*r**5. Suppose p(n) = 0. Calculate n.
-2, 3/2
Let p = -1523371/9378 + -11/3126. Let w = p - -163. Factor -8/9*l**2 - w*l**3 - 1/9*l + 2/9.
-(l + 1)**2*(5*l - 2)/9
Suppose 2*j - 7*j - 9*j = 7*j. Let o(i) be the first derivative of 3/2*i**4 + 2/5*i**5 + 22 + j*i + i**2 + 2*i**3. Solve o(z) = 0.
-1, 0
Let z(o) = 7*o**2 + 12*o - 1. Let g be z(-2). Let g*s**4 + s**3 - 9*s - 3*s**3 + 12*s**3 + 2*s**2 - s**3 - 5*s**2 = 0. Calculate s.
-3, -1, 0, 1
Let c(x) be the third derivative of x**6/60 + 16*x**5/15 + 95*x**4/4 + 150*x**3 - 3258*x**2. Solve c(b) = 0 for b.
-15, -2
Let w(a) be the first derivative of -5*a**4/38 + 2*a**3/3 + 64*a**2/19 + 24*a/19 + 3146. Find f such that w(f) = 0.
-2, -1/5, 6
Suppose -10 = -2*t, 2*l - t = l + 12. Suppose -4*g = -o - l, 2 = -3*g - 3*o + 11. Solve -12*i + 3*i**3 - 6 - 9/2*i**2 + 3/2*i**g = 0.
-2, -1, 2
Let q be -2 - (207/(-23) + 11)*(-1)/(2/4). Factor 20/9*a**3 + 0 - 20/9*a - 2/9*a**q + 2/9*a**4.
2*a*(a - 1)*(a + 1)*(a + 10)/9
Let m(x) be the third derivative of -x**6/420 + 349*x**5/70 - 121801*x**4/28 + 42508549*x**3/21 + 3881*x**2. Factor m(h).
-2*(h - 349)**3/7
Let a = -141 - -135. Let t(f) =