*q**2 + 17*q**3 + 3*q**3 + 14*q**4 = 0?
-3, 0, 1
Find q, given that 3/4*q**2 - 618*q + 127308 = 0.
412
Let t(u) be the first derivative of -u**6/6 - 19*u**5/5 - 39*u**4/2 - 116*u**3/3 - 28*u**2 - 4128. Factor t(g).
-g*(g + 1)*(g + 2)**2*(g + 14)
Let l = -4614 + 4614. Let g(b) be the second derivative of 1/3*b**4 + l + 4*b**2 + 2*b**3 - 18*b. Factor g(z).
4*(z + 1)*(z + 2)
Let t(a) be the first derivative of -1030/3*a**3 + 315/4*a**4 - 440*a**2 - 160*a - 109. Factor t(u).
5*(u - 4)*(7*u + 2)*(9*u + 4)
Suppose -23*q = -24*q + 4. Suppose 0 = -4*j + 3*m + 2*m + q, -4*j + m + 20 = 0. Solve 16*c**3 + 2 + 4*c + 2*c**4 - j*c**4 + 2*c**4 - 20*c**3 = 0.
-1, 1
Suppose 5*w = d, -3*d = -8*w + 4*w. Suppose 216*n + w*n**2 + 2*n**2 + 70 - 663 + 254 + 6171 = 0. Calculate n.
-54
Let m(j) = 2*j**3 + 40*j**2 - 145*j + 165. Let b(s) = -s**3 - 42*s**2 + 154*s - 166. Let w(h) = -6*b(h) - 4*m(h). Determine q, given that w(q) = 0.
2, 42
Let b(t) be the first derivative of -4*t**5/25 + 408*t**4/5 - 169696*t**3/15 + 329664*t**2/5 - 652864*t/5 + 2016. Suppose b(r) = 0. What is r?
2, 202
Let k = -3642 - -3646. Let y(m) be the first derivative of 5/4*m**k - 5/2*m**2 + 5/3*m**3 - 4 - 5*m. Let y(q) = 0. What is q?
-1, 1
Determine o, given that o**3 - 192*o**2 - 212*o**2 - 91*o + 377*o**2 + 261*o = 0.
0, 10, 17
Let j(x) = -17*x**2 - 6*x - 8. Suppose 15 = 4*l + 3. Let f(m) = -41 - 24*m**2 + 44 + 30*m**2 + 2*m. Let w(z) = l*j(z) + 8*f(z). Factor w(u).
-u*(3*u + 2)
Solve 1144 + 80818*w**3 + 406 + 5470*w**2 + 6985*w - 80783*w**3 = 0 for w.
-155, -1, -2/7
Let g(j) be the first derivative of 2*j**3 + 75*j**2/2 + 36*j - 1032. Factor g(x).
3*(x + 12)*(2*x + 1)
Factor 1/2*d**4 + 5181/2*d**2 - 145/2*d**3 + 5621/2*d - 5329.
(d - 73)**2*(d - 1)*(d + 2)/2
Let a(f) be the first derivative of -f**5/3 - 155*f**4/12 - 790*f**3/9 - 500*f**2/3 + 3575. Suppose a(h) = 0. What is h?
-25, -4, -2, 0
Let m(v) be the third derivative of v**5/15 - 664*v**4/3 - 3*v**2 - 80*v - 1. Factor m(d).
4*d*(d - 1328)
Let z(c) be the third derivative of -49/40*c**6 + 0*c + 62*c**2 - 133/10*c**5 + 0 + 41/2*c**4 - 12*c**3. Factor z(d).
-3*(d + 6)*(7*d - 2)**2
Suppose 118227*w = 118143*w. Factor -2/9*c**3 - 32/9*c + w - 20/9*c**2.
-2*c*(c + 2)*(c + 8)/9
Let o(u) be the second derivative of u**7/63 - 4*u**6/9 - 73*u**5/10 - 95*u**4/9 + 1400*u**3/9 - 2833*u. Solve o(v) = 0 for v.
-5, 0, 2, 28
Suppose 1072*k = 1068*k - i + 15, 11 = 2*k + i. Factor -1/3*t**k + 4/3*t + 4.
-(t - 6)*(t + 2)/3
Let b = 1973 - 1970. Let x(a) be the second derivative of -5*a - 1/2*a**3 - 1/4*a**4 + b*a**2 + 0. Factor x(r).
-3*(r - 1)*(r + 2)
Suppose -3*a = k + k - 11, -10 = -4*a + 2*k. Suppose a = t - 0. Solve 3*o**4 - 11*o**2 + o**t + 4*o**3 + 2*o**4 + o**2 = 0 for o.
-2, 0, 1
Let i(o) be the first derivative of -o**4/3 - 88*o**3/9 + 202*o**2/3 - 104*o - 10425. Find f such that i(f) = 0.
-26, 1, 3
Let 141*o**2 - 24*o**4 - 78*o - 180 + 3/2*o**5 + 27/2*o**3 = 0. What is o?
-2, -1, 2, 15
Let p(i) be the third derivative of 0 - 1/24*i**4 - 2/15*i**5 + 2/3*i**3 + 2/105*i**7 - 1/336*i**8 + i**2 + 29*i + 1/60*i**6. Let p(t) = 0. Calculate t.
-1, 1, 4
Let x(t) be the first derivative of -t**6/24 + 7*t**5/10 - 3*t**4/2 + 428. Factor x(v).
-v**3*(v - 12)*(v - 2)/4
Let a = 174 - 171. Find g, given that 15*g**a - 3*g**4 - 489*g - 17*g**2 - 6 - 10*g**2 + 510*g = 0.
1, 2
Let c(x) be the first derivative of -150*x - x**3 + 144 + 153/2*x**2. Factor c(m).
-3*(m - 50)*(m - 1)
Suppose 18 = -o - 4*b, -6*o + 8*o = 3*b + 19. Solve 34*r**o + 8*r**5 + 20*r**5 + 20*r + 177*r**3 - 170*r**2 + 181*r**4 = 0 for r.
-5, -2, 0, 1/4, 2/7
Suppose -2*y = 3*i - 7, 4 - 2 = 2*i. Factor 2503 - 2503 + 3*j**2 + y*j + 2*j**4 - 3*j**4.
-j*(j - 2)*(j + 1)**2
Let n(m) = 17*m + 90. Let v be n(-5). Determine y, given that -21*y - 77*y**3 + 190*y**4 + 5*y**3 - 6*y - 136*y**2 + 50*y**5 - v*y = 0.
-4, -2/5, 0, 1
Suppose -96/5*q**4 - 25392/5 - 3734/5*q**3 - 38824/5*q - 2/15*q**5 - 12092/3*q**2 = 0. Calculate q.
-69, -2
Let w = 77 - 70. Suppose -w = -4*b + 3*y + 4, -2*b + y + 7 = 0. What is t in 6*t**b + 3*t**3 + 52 + 9*t**4 - 52 = 0?
-1, -1/2, 0
Let q(s) be the first derivative of 196 - 4*s**3 + 3/4*s**4 + 12*s - 3/2*s**2. Suppose q(i) = 0. What is i?
-1, 1, 4
Suppose -3*p - 2*r + 30 = 0, -3*p + 2*r = -2*p - 2. Let m be 0 - 5/(-10)*p. Let 7*t**3 + 4*t**4 + 4*t - 2*t**5 + t**5 - m*t**2 - 10*t**3 = 0. Calculate t.
-1, 0, 1, 2
Let v(n) be the first derivative of 5*n**4 + 65*n**3 - 135*n**2 + 55*n + 64. Let v(o) = 0. Calculate o.
-11, 1/4, 1
Solve 1290/7 + 1293/7*v + 3/7*v**2 = 0.
-430, -1
Let y be 6/3 + 6/7. Let q = 367240 + -2570676/7. Determine z so that 0 - y*z**2 - q*z = 0.
-1/5, 0
Let t = 107452 - 107450. Let -16*a + 1/6*a**t + 384 = 0. What is a?
48
Suppose -3*s = -16 + 4, -s = y - 6. Factor 10*g + 5*g - g**2 + 25*g**2 + 3*g**3 - 14501 + 0*g**y + 14459.
3*(g - 1)*(g + 2)*(g + 7)
Let n(b) = -6*b**3 - 66*b**2 - 135*b - 741. Let j be n(-10). Let -j + 48/5*x - 3/5*x**2 = 0. Calculate x.
1, 15
Let u be (-15 + 8 - -8)/(21/42). Suppose 2 + 1/4*g**u + 9/4*g = 0. Calculate g.
-8, -1
Let s(r) be the first derivative of -r**3 + 273*r**2/2 - 1992*r + 9601. Determine l, given that s(l) = 0.
8, 83
Let s(l) be the third derivative of -2*l**2 - 26/9*l**4 + 1/30*l**6 + 2/315*l**7 - 32/3*l**3 - 4/15*l**5 + 4*l + 0. Factor s(n).
4*(n - 4)*(n + 2)**2*(n + 3)/3
Let b(a) = -38*a**2 + 82*a - 44. Let d be 7/(-4) - 14/56. Let p(o) = -o**3 + 1. Let s(z) = d*b(z) - 4*p(z). Factor s(q).
4*(q - 1)**2*(q + 21)
Let r(o) be the first derivative of -2*o**5/55 - 2*o**4/11 + 34*o**3/11 + 54*o**2/11 - 2447. Find d such that r(d) = 0.
-9, -1, 0, 6
Let o(u) be the second derivative of -u**4/3 + 2*u**3/3 + 4*u**2 - 73*u - 2. Determine j so that o(j) = 0.
-1, 2
Let y(l) be the first derivative of -5*l**6/6 - 186*l**5 + 2825*l**4/4 - 630*l**3 + 2203. Find u, given that y(u) = 0.
-189, 0, 1, 2
Let v(y) be the first derivative of y**4/2 + 16*y**3 + 140*y**2 + 384*y - 1500. Factor v(m).
2*(m + 2)*(m + 6)*(m + 16)
Let w(d) be the first derivative of 1/2*d**3 + 87/4*d**2 + 211 + 0*d. Let w(g) = 0. Calculate g.
-29, 0
Let g be 2*6/2*(-290)/15. Let p = g + 118. Find r such that -9*r + 34*r - 14*r - 5*r**p - 6*r - 5*r**3 + 5 = 0.
-1, 1
Let b(k) = 10*k + 593. Let n be b(-59). Let w(h) be the second derivative of -1/12*h**4 + 1/12*h**n + 1 + 1/2*h**2 - 1/40*h**5 - 16*h. Factor w(m).
-(m - 1)*(m + 1)*(m + 2)/2
Factor -13/4*v**3 - 5*v + 1/4*v**4 + 8*v**2 + 0.
v*(v - 10)*(v - 2)*(v - 1)/4
Let c(n) = 12*n**2 + 109*n - 842. Let i be c(5). Solve -12/7*s - 2/7*s**2 + 0 - 2/7*s**5 + 2*s**i + 2/7*s**4 = 0.
-2, -1, 0, 1, 3
Let m(w) be the third derivative of w**8/504 + 4*w**7/105 - w**6/180 - 2*w**5/15 - 5*w**2 - 27. Suppose m(u) = 0. Calculate u.
-12, -1, 0, 1
Let i be 220/(-10450)*(-30)/4. Let r(g) be the first derivative of -13 - 2/57*g**3 + 0*g - i*g**2. Let r(n) = 0. What is n?
-3, 0
Let q be -58*3/(-24) - (-240)/320 - 4. Let v(l) be the first derivative of -q - 4/3*l**3 + 66/5*l**2 + 56/5*l. Find n such that v(n) = 0.
-2/5, 7
Suppose z + 25 = -3232*b + 3235*b, z = b - 15. What is v in -15/4*v**3 - 5/4*v**4 - v + 0 + v**5 + b*v**2 = 0?
-2, 0, 1/4, 1, 2
Factor 1351*u + u**2 - 1108*u - 407 - 83.
(u - 2)*(u + 245)
Let q be (-3)/7*1 + 210/490. Let t(k) be the second derivative of 0 + q*k**2 - 4*k**3 - 17*k - 29/5*k**5 + 31/3*k**4 + 8/15*k**6. Factor t(h).
4*h*(h - 6)*(h - 1)*(4*h - 1)
Let t = -50 - -50. Suppose 0 = -4*x + 3*s + 21, -3*x - s - s + 3 = t. Factor -2*y**5 - 66*y**x - 25*y + 8*y**4 - 51*y**2 - 29*y**2 - 7*y - 28*y**4.
-2*y*(y + 1)**2*(y + 4)**2
Solve 1142/5*f - 774/5*f**2 - 504/5 + 138/5*f**3 - 2/5*f**4 = 0.
1, 4, 63
Suppose 0 = -11*l + 8*l - 6. Let x be 0 - 1/(l/(-1 + 15)). Factor -1 - 25*i**2 - 45*i + 4 + x.
-5*(i + 2)*(5*i - 1)
Factor -11/9 + 4/9*m**2 + 7/9*m.
(m - 1)*(4*m + 11)/9
Suppose 2*t - 4 = 6*t - 3*v, t + 10 = 3*v. Let z be 6/10*11620/1743. Find d such that 3/7*d**z - 9/7*d**3 + 0 + 0*d**t + 12/7*d = 0.
-1, 0, 2
Suppose -18*x = 4*x - 220. Let p be (-4)/x + (-2)/(-105)*56. Factor 0 + 0*c - p*c**2.
-2*c**2/3
Suppose -c + f - 21 = 0, 21*f = 5*c + 18*f + 97. Let v(o) = -o**3 - 15*o**2 + 29*o - 81. Let j be v(c). Factor -2/15*r**j + 0*r + 4/5*r**3 - 6/5*r**2 + 0.
-2*r**2*(r - 3)**2/15
Let x(t) be the second derivative of -t**4