 c - 30*n - 48*n**2 + 53*n**2 - 31 - 3 - 7 = 0.
-1, 7
Let d = -428 + 494. Suppose 56*a + 64*a**2 - 4*a - 338 - d*a**2 = 0. What is a?
13
Suppose 15*s - 1676 + 1616 = 0. Suppose -q - f - 2*f + 23 = 0, -14 = -3*q + 2*f. Factor 3*v**4 - 15*v**3 - s - 11*v + 27*v**2 - 2*v - q*v + 10.
3*(v - 2)*(v - 1)**3
Let l(h) = -3*h**2 + 18*h - 11. Let i(b) = -21 + 125*b - 54 - 495*b**2 + 475*b**2. Let a(x) = -2*i(x) + 15*l(x). Factor a(u).
-5*(u - 3)*(u - 1)
Let w be -4 + 6*(-8)/(-24). Let a be ((-20)/14)/(-10)*(-96)/w. Factor -4/7*s**2 - 144/7 - a*s.
-4*(s + 6)**2/7
Let c(f) = -62*f**3 - 254*f**2 + 17*f + 17. Let d(k) = 22*k**3 + 84*k**2 - 6*k - 6. Let i(p) = 6*c(p) + 17*d(p). What is v in i(v) = 0?
0, 48
Let z(f) = -f**4 - f**2 - f - 1. Let i = 60 + -59. Let q(v) = 9*v**2 + 3*v. Let d(t) = i*q(t) + 3*z(t). Solve d(p) = 0 for p.
-1, 1
Let s be -7 - (96/(-10) - 17/(-85)*3). Determine w so that 42/11*w**s - 42/11*w - 8/11*w**3 + 8/11 = 0.
1/4, 1, 4
Let d(y) = -y**2 - 19*y + 35. Let f be d(-19). Determine c, given that 32*c - 12*c**3 + 6 + 5 - f + 24 - 8*c**2 = 0.
-2, 0, 4/3
Let m(v) be the first derivative of -7*v**5/5 - 43*v**4/4 - 41*v**3/3 - 5*v**2/2 + 989. Let m(y) = 0. What is y?
-5, -1, -1/7, 0
Let p(r) be the second derivative of -31/10*r**6 - 99/2*r**4 + 1 - 81/2*r**2 + 135/2*r**3 + 17*r + 3/14*r**7 + 177/10*r**5. Factor p(i).
3*(i - 3)**3*(i - 1)*(3*i - 1)
Let j(o) be the second derivative of -o**5/26 - o**4/6 + 2*o**3/3 - 8*o**2/13 + 178*o + 2. Let j(n) = 0. Calculate n.
-4, 2/5, 1
Suppose 5*n + 1401 - 1369 = -4*t, -8 = 2*n + t. Factor -8/19*z**2 + n + 12/19*z**3 - 16/19*z + 2/19*z**5 + 10/19*z**4.
2*z*(z - 1)*(z + 2)**3/19
Let i be (25 - (300/175 - 4)) + -18. Determine f so that 0*f - 16/7*f**5 + 8*f**4 - i*f**3 + 0 + 25/7*f**2 = 0.
0, 1, 5/4
Let z(h) be the third derivative of -1/35*h**5 - 1/420*h**6 + 128*h**2 - 3/28*h**4 + 0*h**3 + 0 + 0*h. Factor z(g).
-2*g*(g + 3)**2/7
Let x = 68 - 74. Let m(j) = 4*j**4 - 8*j**3 - 4*j**2 + 14*j. Let h(a) = -a**4 + a**3 + a**2 - 2*a. Let k(v) = x*h(v) - m(v). Factor k(t).
2*t*(t - 1)*(t + 1)**2
Let y(d) be the third derivative of d**5/60 - 151*d**4/4 + 68403*d**3/2 - 121*d**2 - 8. Determine q, given that y(q) = 0.
453
Factor -53*t - 1/2*t**3 + 129/4 - 91/4*t**2.
-(t + 3)*(t + 43)*(2*t - 1)/4
Suppose 3*z = -p + 14, 8*z + 2*p + 20 = 10*z. Factor 0*s + z*s**2 - 2*s + 2*s**4 + 60*s**3 - 66*s**3 + 0*s**2.
2*s*(s - 1)**3
Determine d so that -732050/13*d**2 - 72/13 - 14520/13*d = 0.
-6/605
Factor -1250 - 141128*o + 140513*o + 5*o**2 + 0*o**2.
5*(o - 125)*(o + 2)
Let b(y) = 676*y + 6086. Let n be b(-9). Let p(q) be the second derivative of 1/4*q**4 - 3*q**2 + 0 + n*q + 1/2*q**3. Factor p(z).
3*(z - 1)*(z + 2)
Suppose 0 = b - 71 + 85. Let y = b + 32. Find u such that 54*u**2 + 33*u - 36*u - y*u**2 = 0.
0, 1/12
Suppose 28 = -4*c + 2*o, -40*c + 4*o = -39*c + 84. Solve -4/13*m**c + 0 - 6/13*m**5 + 18/13*m**3 - 8/13*m + 0*m**2 = 0.
-2, -2/3, 0, 1
Find t, given that -456*t**5 + 435*t**5 - 3*t - 72*t**2 - 9*t - 129*t**3 - 90*t**4 = 0.
-2, -1, -2/7, 0
Factor -1352/9 - 130/9*m - 28/9*m**3 + 71/3*m**2 + 1/9*m**4.
(m - 13)**2*(m - 4)*(m + 2)/9
Factor -1028/5*n - 2/5*n**2 - 132098/5.
-2*(n + 257)**2/5
Let q(i) be the second derivative of 8*i**4/3 + 298*i**3/3 + 180*i**2 + 776*i. Factor q(d).
4*(d + 18)*(8*d + 5)
Let i(j) be the first derivative of 93/8*j**2 + 3/16*j**4 - 33 + 45/4*j + 17/4*j**3. Let i(f) = 0. Calculate f.
-15, -1
Let m(v) = 2*v**3 - 51*v**2 + 98*v - 50. Let b(a) = a**3 - a - 1. Let c(j) = 25*j - 224. Let n be c(9). Let t(u) = n*m(u) - b(u). Factor t(x).
(x - 49)*(x - 1)**2
Let l(h) be the third derivative of 49*h**6/30 - 658*h**5/15 - 194*h**4/3 - 112*h**3/3 + 1164*h**2. Factor l(c).
4*(c - 14)*(7*c + 2)**2
Factor 0*a + 0*a**2 + 9*a**3 - 60/7*a**4 + 0 - 3/7*a**5.
-3*a**3*(a - 1)*(a + 21)/7
Let a(k) be the first derivative of 1/8*k**5 + 5*k**3 + 33 + 34*k + 5/4*k**4 + 10*k**2. Let j(v) be the first derivative of a(v). Let j(o) = 0. Calculate o.
-2
Let l be 1057/93 - (-858)/(-26598). Let 578/3 + l*h + 1/6*h**2 = 0. Calculate h.
-34
Let f(a) = -88*a**2 - 3776*a - 1194483. Let h(s) = -369*s**2 - 15102*s - 4777932. Let q(j) = -21*f(j) + 5*h(j). Solve q(c) = 0 for c.
-631
Factor -1/3*w**4 - 26 - 185/3*w - 137/3*w**2 - 31/3*w**3.
-(w + 1)**2*(w + 3)*(w + 26)/3
Let h(m) = 2*m**2 - 24*m + 203. Let f be h(10). Suppose 166*i - 6 = f*i. Factor 0 - 2/3*t**i + 0*t - 2/15*t**3.
-2*t**2*(t + 5)/15
Suppose 0 = -4*g - 3*t + 31, -5*t = -5*g - t. Suppose -8*z + 8*z**3 - 2*z**g + 12*z**2 + z**3 + 4*z**5 - 10*z**4 - 5*z**3 = 0. What is z?
-1, 0, 1, 2
Let g(l) be the first derivative of 5/24*l**4 - 10/3*l**3 + 75/4*l**2 + 61 - 125/3*l. What is i in g(i) = 0?
2, 5
Let j(s) be the third derivative of s**7/70 + 4*s**6/5 - 67*s**5/20 + 17*s**4/4 - 208*s**2. Factor j(r).
3*r*(r - 1)**2*(r + 34)
Let c(h) be the third derivative of 0 - 68*h**2 + 0*h + 1/9*h**3 - 1/180*h**5 - 1/72*h**4. Factor c(f).
-(f - 1)*(f + 2)/3
Suppose 461 = m - y, 4*y - 439 - 27 = -m. Let w be (-6)/21 + 132/m. What is b in 0*b**2 + 0*b - 10/17*b**4 + 6/17*b**3 + w = 0?
0, 3/5
Let t(h) be the second derivative of 1/70*h**5 + 0 + 1/21*h**4 - 2/7*h**2 - 1/21*h**3 - 84*h. Determine a so that t(a) = 0.
-2, -1, 1
Let g be 20/(-16)*15/(4500/(-8)). Let u(i) be the second derivative of -1/5*i**2 + 7*i + 2/15*i**3 - g*i**4 + 0. Factor u(z).
-2*(z - 1)**2/5
Let g(m) = -3*m**2 + 54*m - 731. Let t(u) = 16*u**2 - 270*u + 3656. Let p(n) = 13*n + 186. Let y be p(-14). Let b(j) = y*t(j) + 22*g(j). Solve b(z) = 0.
27
Let b(g) = 20*g + 2 - 450*g**2 + 454*g**2 - 6*g**3 + 10. Let f(q) = -q**3. Suppose 5*a - 22 = 3*w, -w = 3*a - 0*w - 2. Let n(p) = a*f(p) - b(p). Factor n(d).
4*(d - 3)*(d + 1)**2
Let l = 11135 + -11130. Let d(o) be the third derivative of 1/6*o**6 + 2/15*o**l + 0 + 0*o - 14*o**2 + 0*o**3 + 0*o**4. Factor d(x).
4*x**2*(5*x + 2)
Let d(i) be the second derivative of i**5/70 - 15*i**4/7 - 31*i**3/7 + 26*i**2 - i - 525. Find z such that d(z) = 0.
-2, 1, 91
Suppose 5*a - 2*i + 7*i = 0, 4 = 4*a + 2*i. Let d(y) be the second derivative of -4/27*y**3 + 4/9*y**a + 1/54*y**4 - 5*y + 0. Factor d(g).
2*(g - 2)**2/9
Let p(w) be the first derivative of w**7/420 - 29*w**6/240 + 7*w**5/30 + 5*w**2 - 5*w + 57. Let k(z) be the second derivative of p(z). Factor k(t).
t**2*(t - 28)*(t - 1)/2
Let u = -98/187 - -1256/1683. Factor -20/3 + u*p**2 - 26/9*p.
2*(p - 15)*(p + 2)/9
Suppose -17*n + 14*n + 5 = -5*v, 3 = -v + n. Let 0*p + 0 - 2*p**3 + 3/2*p**v + 1/2*p**4 = 0. What is p?
0, 1, 3
Let x be (0 - (-2)/(-6))/((-18)/837). Factor 15/4*q**2 + 2 + x*q.
(q + 4)*(15*q + 2)/4
Let m = -336 - -338. Factor 4*z**4 + 8*z + 2*z**2 - 6*z**m + 2*z**3 - 11*z**3 + z**3.
4*z*(z - 2)*(z - 1)*(z + 1)
Let q(z) be the third derivative of 20/9*z**3 - 1/10*z**5 - 1/3*z**4 + 0*z - 45*z**2 + 1/180*z**6 + 0. Factor q(s).
2*(s - 10)*(s - 1)*(s + 2)/3
Let c(u) = u**2 + 122*u - 246. Let s be c(2). Solve -1/4*x**s + 1/4*x**4 + 3/2*x + 0 - 3/2*x**3 = 0.
-1, 0, 1, 6
Let d be (-10)/(-6) - 156/(-117). Suppose 0 = -34*o + d + 31. Determine w, given that o - 4/5*w - 1/5*w**2 = 0.
-5, 1
Factor 344*j**2 - 197179*j**3 + 51*j**2 + 197174*j**3 + 400*j.
-5*j*(j - 80)*(j + 1)
Let s(o) be the third derivative of 13*o**6/60 - 67*o**5/30 + 5*o**4/6 + 1195*o**2. Determine p, given that s(p) = 0.
0, 2/13, 5
Find n, given that -28*n**2 + 0*n + 0 - 4/3*n**4 - 2/3*n**5 + 58/3*n**3 = 0.
-7, 0, 2, 3
Let l(z) be the third derivative of -2 - 1/840*z**6 - 8*z**2 + 0*z + 3/140*z**5 - 5/56*z**4 + 1/6*z**3. What is o in l(o) = 0?
1, 7
Factor 493/6*i - 5/6*i**2 - 49.
-(i - 98)*(5*i - 3)/6
Let h(u) be the second derivative of u**5/2 + 3*u**4/2 - 2*u**3 - 8*u**2 - 579*u. Factor h(j).
2*(j - 1)*(j + 2)*(5*j + 4)
Let u be ((-402)/(-4221) + (1 - 6/63))/(-2 - -7). Factor -u*p**2 - 6 - 11/5*p.
-(p + 5)*(p + 6)/5
Let v(a) be the third derivative of a**8/18480 + a**7/1155 - 17*a**3 + 7*a**2 + 3*a. Let o(k) be the first derivative of v(k). Factor o(g).
g**3*(g + 8)/11
Suppose 5*g = 4*y - 0*g - 184, -3*y = 2*g - 138. What is o in -y*o + 115*o**2 + 132 - 132 - 25*o**3 + 96*o = 0?
-2/5, 0, 5
Let q = -108 + 139. Find o, given that -25*o**4 - 124*o**5 - 24*o - q*o**4 - 12*o**4 + 136*o**5 + 108*o**3 - 28*o**2 = 0.
-1/3, 0, 1, 2, 3
Suppose -12*i + 13*i + 4 = 0, 3*i = -