**3/7
Suppose 0 = 74*z - 26*z - 3 + 3. Let k(w) be the first derivative of 0*w + 2 + z*w**2 + 1/15*w**5 + 0*w**3 + 1/4*w**4. Factor k(p).
p**3*(p + 3)/3
Let r be (53 - 11)*(-2)/(-4) + 1. Factor 5 - 20*k**2 + r + 2*k + 5 + 6*k + 4*k**3.
4*(k - 4)*(k - 2)*(k + 1)
Let 2/11*j**3 + 6/11 - 2/11*j - 6/11*j**2 = 0. What is j?
-1, 1, 3
Let f(t) = t**2 - 8*t + 7. Let j be f(9). Suppose -j = -7*l + 5. Factor 4*b**4 - 37*b - b**5 + l*b**5 + 37*b - 4*b**2 - 2*b**3.
2*b**2*(b - 1)*(b + 1)*(b + 2)
Let w(r) = 86*r + 10237. Let d be w(-119). Factor 1/2*o**2 + 1/2*o - 1/2*o**d - 1/2.
-(o - 1)**2*(o + 1)/2
Let b be -4 + (-12 + 2)/2. Let o be b/18*(-6 + -2). Solve -5*g**o - 8*g**4 - 3*g**4 + 64*g**2 + 94*g - 30*g - 4*g**5 = 0 for g.
-2, 0, 2
Solve 68/11*w - 30/11*w**2 - 2/11*w**3 + 0 = 0 for w.
-17, 0, 2
Let q(j) = -2*j**5 - 2*j**4 + j**3 + j**2 + j - 5. Let l(r) = 11*r**5 + 3*r**4 + 9*r**3 - 13*r**2 - 5*r + 25. Let n(d) = -4*l(d) - 20*q(d). Solve n(i) = 0.
0, 1, 2, 4
Let r(o) = 14*o**2 + 394*o + 395. Let l(g) = 3*g**2 - g - 1. Let m(q) = 15*l(q) - 3*r(q). Factor m(u).
3*(u - 400)*(u + 1)
Suppose 1471 = 5*s + 95*h - 97*h, 3*s - 5*h - 875 = 0. Let g = s - 1175/4. Factor 15 - g*p**2 + 5/4*p**3 - 10*p.
5*(p - 2)**2*(p + 3)/4
Let q(d) be the first derivative of -441/8*d**2 - 3/16*d**4 + 21/4*d**3 + 1029/4*d + 62. Factor q(t).
-3*(t - 7)**3/4
Let n be -2 + 0 - (-65)/5. Factor -51*g + 11*g + 2 - n*g**2 - 2*g + 51*g**2.
2*(g - 1)*(20*g - 1)
Suppose -149 = -4*o - 69. Suppose -4*n + 15 = -3*x, -3*n + 44*x = 48*x + o. Determine r, given that n*r + 5/2*r**3 - 25/4*r**2 + 0 - 1/4*r**4 = 0.
0, 5
Let u(v) be the third derivative of -v**5/12 + 4765*v**4/12 - 4541045*v**3/6 - 5629*v**2. Solve u(x) = 0 for x.
953
Let m(y) be the third derivative of -y**7/315 - y**6/270 + 8*y**5/135 - 7*y**4/54 + y**3/9 + 2*y**2 + 220*y. What is c in m(c) = 0?
-3, 1/3, 1
Factor -1/4*o**3 + 137 + 1095/4*o + 273/2*o**2.
-(o - 548)*(o + 1)**2/4
Let t = -628 - -632. Let m be t/(7 + (-6 - 0)). Factor 0*n - 1/6*n**3 - 4/3*n**5 + 0*n**2 + n**m + 0.
-n**3*(2*n - 1)*(4*n - 1)/6
Let x(y) = 43*y + 301. Let d be x(-7). Let q be d/(-62)*1*(-2)/8. Factor 4/5*m**2 + q - 2/5*m - 2/5*m**3.
-2*m*(m - 1)**2/5
Suppose 93*c - 16 = 87*c - g, 0 = c + 2*g - 10. Find i such that -8/5*i**4 - 2/5*i**c + 0 + 0*i + 8/5*i**3 = 0.
0, 1/2
Let j be 219/189 - ((-200)/(-35))/8. Let x(c) be the third derivative of 0*c - 1/9*c**5 + 0 - 33*c**2 + 1/90*c**6 - 8/9*c**3 + j*c**4. Factor x(f).
4*(f - 2)**2*(f - 1)/3
Let d(q) be the first derivative of 2*q**6/3 + 268*q**5/5 + 435*q**4 + 1212*q**3 + 1080*q**2 + 222. What is y in d(y) = 0?
-60, -3, -1, 0
Let f be 12/32*-4 - (-53)/(-2). Let q be (30/f + 1)/(6/(-14)). Factor 1/6*l**2 + 0*l + q*l**4 - 1/3*l**3 + 0.
l**2*(l - 1)**2/6
Factor -56*r - 170/3 + 2/3*r**2.
2*(r - 85)*(r + 1)/3
Let t(y) = -5*y**3 - 23*y**2 + 46*y - 27. Suppose 18*i + 4 = 22*i. Let k(v) = v**3 + v**2 + 1. Let r(g) = i*t(g) + 3*k(g). Factor r(q).
-2*(q - 1)**2*(q + 12)
Suppose -45 = -7*q - 2*q. Suppose 0 = q*y - 2*s - 18, 5*y - 2*s - 22 = s. Factor -30 + 26 + 10*i**2 + 6*i - 12*i**y.
-2*(i - 2)*(i - 1)
Let f be 4 - (5 + 72/(-64)). Let q(r) be the first derivative of -f*r**2 - 19 + 0*r + 1/12*r**3. Factor q(v).
v*(v - 1)/4
Let b(k) be the second derivative of k**4/30 - 7*k**3/3 + 30*k**2 + 9021*k. Factor b(j).
2*(j - 30)*(j - 5)/5
Let q(i) be the third derivative of -i**7/56 + 399*i**6/160 - 99*i**5 - 50*i**4 - i**2 - 175*i. Factor q(m).
-3*m*(m - 40)**2*(5*m + 1)/4
Suppose 0 = -2*h - 3*s + 236, -3*h + 349 = 2*s - 0*s. Find u such that 2 - 9*u - h*u**2 - 120*u**2 + 244*u**2 - 2*u = 0.
2/9, 1
Let m(b) be the first derivative of 155*b**3 + 460*b**2 - 20*b + 1331. What is j in m(j) = 0?
-2, 2/93
Suppose 464*m + 86492 + 864*m**3 - 60*m**4 - 208*m**3 - 86456 - 1096*m**2 = 0. Calculate m.
-1/15, 1, 9
Let q(v) be the second derivative of 0*v**4 + 0*v**2 + 154*v + 1/84*v**7 + 0*v**3 - 1/10*v**5 + 0 - 1/20*v**6. Factor q(d).
d**3*(d - 4)*(d + 1)/2
Suppose 13*o = 2 + 154. Suppose o*g + 76 - 100 = 0. Determine p so that 8/7*p**g + 0 + 34/7*p**4 - 32/7*p**3 + 0*p - 10/7*p**5 = 0.
0, 2/5, 1, 2
Factor 1702*o + 736*o**2 + 1959*o + 33*o**3 + 1307*o + 1296 + 134*o**2 - 69*o**2.
3*(o + 12)**2*(11*o + 3)
Let a(q) be the third derivative of -2*q**7/525 + 146*q**6/75 + 589*q**5/75 - 146*q**4/15 - 392*q**3/5 - 53*q**2 + 2*q + 11. What is v in a(v) = 0?
-2, -1, 1, 294
Let k = -3 - -6. Let j = 21 - 19. Suppose -8*c**j - 6*c**k + 7*c**2 - c**2 + c**3 = 0. What is c?
-2/5, 0
Let t = -11893 + 19912. Factor t + 1560 + 248*a - 89*a + 1941 + 321*a + 5*a**2.
5*(a + 48)**2
Suppose -u - 76 = -83, 2*r + 15 = 3*u. Let i(l) be the second derivative of 4*l - 3/4*l**2 - 7/24*l**r + 0 - 1/48*l**4. Factor i(m).
-(m + 1)*(m + 6)/4
Suppose -581 = 7*u - 581. Let v be -3 - (2/4 - 75/18). Find x such that -2/3*x**4 + 2/3*x**3 + v*x**2 + u - 2/3*x = 0.
-1, 0, 1
Let o(y) be the first derivative of 100 + 61*y**2 - 48*y - 5*y - y**3 + 0*y**3 - 55*y - 79*y**2. Factor o(q).
-3*(q + 6)**2
Determine t, given that -100*t + 1838*t**2 - 929*t**2 - 714*t**2 - 5*t**4 - 90*t**3 = 0.
-20, 0, 1
Let d(o) = 2*o**3 + o + 1. Let x(u) = -11*u**3 + 9*u**2 - 27*u + 5. Let j(s) = -s**2 - 20*s + 95. Let h be j(-24). Let w(y) = h*x(y) - 6*d(y). Factor w(p).
-(p - 1)**2*(p + 11)
Let t(q) be the first derivative of q**3/9 + q**2/3 - 143*q/3 - 3246. Factor t(a).
(a - 11)*(a + 13)/3
Determine q, given that -2/5*q**3 - 747654/5*q - 2118/5*q**2 - 87973954/5 = 0.
-353
Let p(z) = -z**3 + 7*z**2 + 5*z - 7. Let w be p(4). Suppose -35*a = -44 - w. Determine c so that -9*c**2 - 7/4*c**4 - 2*c + 0 - 15/2*c**a = 0.
-2, -2/7, 0
Let m(b) be the second derivative of -b**5/4 + 55*b**4/12 + 938*b. Suppose m(t) = 0. Calculate t.
0, 11
Suppose 17*p = 3*p + 70. Let -11 + 1 + 6*c**4 - 14*c**3 - 14*c**2 + 26*c + 10*c + 2*c**p - 6 = 0. What is c?
-4, -2, 1
Let h = 88403 + -707207/8. Factor 3/8*f**3 + 1 + 11/4*f + h*f**2.
(f + 1)*(f + 4)*(3*f + 2)/8
Let m(r) be the second derivative of 0*r**2 + 110*r - 3/5*r**5 + 0*r**4 - 2 + 0*r**3 - 1/3*r**6 - 1/21*r**7. Let m(f) = 0. Calculate f.
-3, -2, 0
Let f(n) be the first derivative of 3*n**4/8 - 23*n**3/2 + 117*n**2/4 + 189*n/2 + 3980. Factor f(o).
3*(o - 21)*(o - 3)*(o + 1)/2
Let y(v) be the first derivative of -4*v**3/3 + 3510*v**2 - 1568. Suppose y(b) = 0. What is b?
0, 1755
Let u(n) be the second derivative of 0 - 1/20*n**5 + 76*n - 4*n**2 - 1/30*n**6 + 1/2*n**4 + 2/3*n**3. Determine p, given that u(p) = 0.
-2, 1, 2
Let l = 33918 + -33884. Let p(z) be the first derivative of 0*z**4 - l + 0*z + 6/17*z**3 + 0*z**2 - 2/85*z**5. Factor p(f).
-2*f**2*(f - 3)*(f + 3)/17
Let z(t) = -9*t**4 - 440*t**3 + 3027*t**2 - 6103*t + 4104. Let p(w) = -3*w**4 - 147*w**3 + 1008*w**2 - 2034*w + 1368. Let g(n) = 19*p(n) - 6*z(n). Factor g(a).
-3*(a - 2)**3*(a + 57)
Let h be 111/9 - 1 - (6 - 10)*(-1)/(-6). Find t such that 132/7*t - h - 3510/7*t**3 + 1503/7*t**2 + 243/7*t**4 = 0.
-2/9, 1/3, 14
Find j, given that 4/7 - 6/7*j + 0*j**2 + 2/7*j**3 = 0.
-2, 1
Suppose 6*i - 4*i = -3*t - 139, 5*t + i + 227 = 0. Let b be (-51 - t)/(1/(-1) + -1). Solve -4*m + 2*m**3 - m**3 + b*m - 3*m = 0 for m.
-2, 0, 2
Let g(m) be the second derivative of 82/21*m**4 + m + 0*m**2 + 1/35*m**5 + 3362/21*m**3 - 29. Let g(j) = 0. What is j?
-41, 0
Let u(d) be the third derivative of -d**7/630 - d**6/20 - 17*d**5/45 - 5*d**4/12 + 13*d**3/2 + 1993*d**2. Solve u(c) = 0 for c.
-13, -3, 1
Let h(c) be the second derivative of 116/105*c**6 + 7*c + 205/28*c**5 + 36/7*c**2 + 211/14*c**3 + 811/42*c**4 + 0 + 8/147*c**7. Solve h(a) = 0 for a.
-8, -3, -1/4
Let a(h) be the first derivative of 1/324*h**6 - 4 + 0*h - 4/3*h**3 + 0*h**2 - 1/54*h**4 - 1/60*h**5. Let f(o) be the third derivative of a(o). Factor f(v).
2*(v - 2)*(5*v + 1)/9
Factor -1/4*k**2 - 1790*k - 3204100.
-(k + 3580)**2/4
Factor 3393*a + 4*a**3 + 465/2*a**2 + 841/2.
(a + 29)**2*(8*a + 1)/2
Let o(j) = j**2 + j. Let k(z) = -4*z**2 + 24*z - 18. Let r be k(5). Let c(u) = 5*u**4 + 30*u**3 + 53*u**2 + 28*u. Let y(m) = r*o(m) + c(m). Factor y(q).
5*q*(q + 1)*(q + 2)*(q + 3)
Let o(x) = x**2 + 129*x - 2782. Let z(s) = s**2 + 195*s - 4174. Let f(q) = -8*o(q) + 5*z(q). Factor f(a).
-3*(a - 14)*(a + 33)
Suppose 104 - 56 - 51 = -p. Let z(x) be the third derivative of 0 + 0*x - 1/