 + (-37)/18). Let t be 4 - (-33)/12*m/(-9). What is w in 12*w**2 + t + 4*w = 0?
-1/6
Factor -10*x - 72 - 112*x**2 - 184*x**2 + 11*x - 60 + 363*x + 44*x**4 - 4*x**5 + 24*x**3.
-4*(x - 11)*(x - 1)**3*(x + 3)
Let j be (-192)/156 - (1 - 54/24). Let n(s) be the third derivative of -j*s**4 + 0*s - 1/390*s**5 + 0 - 2/39*s**3 + s**2. Suppose n(v) = 0. What is v?
-2, -1
Let q(v) be the first derivative of v**6/3 - 154*v**5/5 + 225*v**4/2 - 446*v**3/3 + 74*v**2 - 1070. Factor q(k).
2*k*(k - 74)*(k - 1)**3
Let d = 6838 - 6834. Let p(u) be the first derivative of -4/7*u - 2/21*u**3 + 1/28*u**d - 11 - 1/2*u**2. What is f in p(f) = 0?
-1, 4
Let j(s) be the third derivative of -s**6/240 - 19*s**5/120 - s**4 + 15*s**3 - 1478*s**2. Suppose j(m) = 0. Calculate m.
-15, -6, 2
Suppose 71*a - 76*a + 160 = 0. Factor -58*d**3 + 110*d**3 - 72*d + 44*d**2 - 4*d**4 + a - 52*d**3.
-4*(d - 2)*(d - 1)**2*(d + 4)
Suppose -46*l + 49*l = 0, -12 = -4*o - 4*l. Let q(r) be the third derivative of 0*r + 1/6*r**6 + 0 + 7*r**2 - 1/5*r**5 + 0*r**o + 0*r**4. Factor q(v).
4*v**2*(5*v - 3)
Let c be ((-12)/32)/(33/(-88)) - -3. Let h(q) be the third derivative of 0*q**3 + 0*q + 0 - 42*q**2 + 1/48*q**5 + 5/24*q**c. Find j, given that h(j) = 0.
-4, 0
Let c be 90/300 + (-2139)/(-2360). Let k = -3/472 + c. Determine w, given that -k*w**3 + 0 - 4/5*w**2 - 2/5*w**4 + 0*w = 0.
-2, -1, 0
Let q be (((-96)/20)/(-8))/(585/1300). Factor 28*d**2 - 12*d**3 - 76/3*d + q*d**4 + 8.
4*(d - 6)*(d - 1)**3/3
Let j(x) = -23*x - 140. Let q be j(-7). Let c be (60/4)/(-3) - q/(-3). Find o such that 0 - 2/9*o**c + 4/9*o = 0.
0, 2
Let z(v) be the first derivative of -v**3/12 - 697*v**2/2 - 485809*v + 3929. Determine y so that z(y) = 0.
-1394
Determine d, given that 800*d**2 + 1261*d + 1619*d + 2320 - 245*d**2 + d**3 - 6*d**3 = 0.
-4, -1, 116
Let c(s) be the third derivative of -s**7/210 - 13*s**6/120 - s**5/2 + s**4/6 + 20*s**3/3 + 67*s**2 - 12*s. Suppose c(q) = 0. Calculate q.
-10, -2, 1
Let r(q) = -q**3 - 58*q**2 + 16585*q + 324. Let z be r(-161). Solve 1/9*w**z + 7/9*w + 4/3 = 0.
-4, -3
Let j(v) be the second derivative of 0 + 0*v**2 + 8/5*v**3 - 3/100*v**5 + 3/4*v**4 - 13*v. Factor j(t).
-3*t*(t - 16)*(t + 1)/5
Let g(q) = 6*q**3 - 659*q**2 - 97*q - 1430. Let i be g(110). Factor -25/2*f**2 + 0*f + 79/8*f**4 - 95/2*f**3 - 1/2*f**5 + i.
-f**2*(f - 10)**2*(4*f + 1)/8
Factor -4/7*b**2 - 384/7 - 16*b.
-4*(b + 4)*(b + 24)/7
Let o(p) be the third derivative of p**6/405 + 11*p**5/180 + 2*p**4/27 - 79*p**3/3 - 120*p**2. Let u(c) be the first derivative of o(c). Factor u(z).
2*(z + 8)*(4*z + 1)/9
Suppose -3*h = 4*j + 72, h - 4*j = -6 - 34. Let z be -1*(-76)/h + 3. Let 4/7 + 6/7*y + z*y**2 = 0. Calculate y.
-2, -1
Let f(q) be the third derivative of 0 + 0*q - 1/12*q**5 - 189*q**2 + 65/2*q**4 - 5070*q**3. Let f(z) = 0. Calculate z.
78
Suppose -5*t - 3289 = -3*v, 0 = -2*v - t + 43 + 2128. Suppose 0 = 3*d + 1082 - v. Let 5/4*x**d + 5/2*x + 5/4 = 0. Calculate x.
-1
Let n(u) be the third derivative of 40/3*u**4 + 0*u + 1/12*u**5 - 4*u**2 + 8 + 2560/3*u**3. Let n(r) = 0. What is r?
-32
Let k = 179 + -174. Factor 9*s**k + s**4 + 14*s**5 + 2*s**4 - 20*s**5.
3*s**4*(s + 1)
Let h be (40/15)/(13430/28203). Factor -4/5*j**3 + 24/5*j**2 - h*j + 2 - 2/5*j**4.
-2*(j - 1)**3*(j + 5)/5
Suppose 0 - 45*w + 1/3*w**2 = 0. What is w?
0, 135
Let l be (-3)/150*((-84)/(-8) - 11). Let g(d) be the third derivative of 10*d**2 + 0*d**3 + 1/20*d**4 + 0*d + 0 - l*d**5. Factor g(y).
-3*y*(y - 2)/5
Let g be (36/(-5))/(17/(-85)). Suppose -2*d + g = 16*d. What is r in -d - 2*r - 1/2*r**2 = 0?
-2
Solve -4/5*n**4 + 336/5 + 1496/5*n + 621/5*n**2 + 51/5*n**3 = 0.
-4, -1/4, 21
Factor 2/9*x**3 + 4790/9*x - 494/9*x**2 - 3950/3.
2*(x - 237)*(x - 5)**2/9
Let x = -928 - -1176. Let j = x + -246. Factor -5/2*n**3 + 0*n - n**j + 0 + 3/2*n**4.
n**2*(n - 2)*(3*n + 1)/2
Let j = 197/21 + 49583/105. Let d = j - 480. Determine q, given that 32*q**3 - 316/5*q**2 + 576/5*q**4 + 92/5*q - d = 0.
-1, 2/9, 1/4
What is y in -55/3*y - 38 + 58/3*y**2 - 1/3*y**3 = 0?
-1, 2, 57
Let a(n) be the second derivative of -5*n**4/12 - 1775*n**3/6 + 890*n**2 - 1665*n + 3. Factor a(x).
-5*(x - 1)*(x + 356)
Let g(u) be the third derivative of 7*u**6/2700 - 17*u**5/900 + u**4/30 + 25*u**3/6 - u**2 + 6*u. Let q(x) be the first derivative of g(x). Solve q(c) = 0.
3/7, 2
Let b(t) be the first derivative of -5/3*t**2 - 4*t + 1/6*t**4 - 2/45*t**5 + 14/27*t**3 - 6. Determine z, given that b(z) = 0.
-2, -1, 3
Let x(y) be the second derivative of y**5/210 - 388*y**4/63 - 1555*y**3/63 - 778*y**2/21 - y + 1497. Determine m, given that x(m) = 0.
-1, 778
Let z(i) be the second derivative of 7*i**6/3 - 17*i**5/4 - 10*i**4/3 + 55*i**3/6 - 3663*i. Solve z(x) = 0.
-11/14, 0, 1
Let n be (468/(-351))/(4*(-3)/18). Determine m, given that 9/2*m**3 + 3*m + 3/2*m**4 - 3/2*m**5 + 0 - 15/2*m**n = 0.
-2, 0, 1
Let x(u) be the first derivative of u**3/9 + 26*u**2 - 157*u/3 - 1178. Factor x(n).
(n - 1)*(n + 157)/3
Suppose 2*f - 3*t = 146, 0*t = 4*f - 2*t - 292. Let l = -71 + f. Find z, given that 8*z**2 + 12 - 15*z**l - 8*z - 2*z**2 + 5*z**2 = 0.
-3, 1
Let z(g) = g**2 - g + 2. Suppose 0 = 44*y - 48*y + 4. Let l(c) = 18*c**2 - 45*c + 102. Let w(m) = y*l(m) - 15*z(m). Factor w(i).
3*(i - 6)*(i - 4)
Let l(d) be the second derivative of d**5/40 - 25*d**4/24 - 533*d**3/12 - 507*d**2/4 + 2213*d. Factor l(c).
(c - 39)*(c + 1)*(c + 13)/2
Suppose -881 = -12*y + 595. Factor 3504*d + 111*d**2 + d**3 + y*d + 480*d + 50653.
(d + 37)**3
Suppose 0 = -55*o + 50*o - 5. Let z be (13 - 10)*(0 - o). Factor 0 - 3/4*n**5 - 15/4*n**3 - 3/2*n**2 - z*n**4 + 0*n.
-3*n**2*(n + 1)**2*(n + 2)/4
Factor -148*w + 102 + 50 - 11*w**2 + 7*w**2.
-4*(w - 1)*(w + 38)
Let h(r) be the second derivative of 1/5*r**5 + 0 + 186*r + 0*r**3 + 1/15*r**6 + 0*r**2 + 1/6*r**4. Factor h(w).
2*w**2*(w + 1)**2
Let b(r) be the first derivative of -15/2*r**2 - 9/4*r**4 - 9*r + 11*r**3 + 127. Factor b(j).
-3*(j - 3)*(j - 1)*(3*j + 1)
Let g be (342/(-8))/((-3)/(-8)). Let r = 114 + g. Factor -8/5*p + 4/5*p**2 + r.
4*p*(p - 2)/5
Let m = -29 - -29. Suppose -2*f + 0*f + 18 = 4*l, m = -f - 3. Solve -12 - 20*u**2 - 22*u + l*u**2 + 9*u**2 + 4 = 0.
-4, -2/5
Suppose 0 = 776*h - 785*h + 423. Suppose 11 = -12*u + h. Find s, given that s**2 - 1/4*s - 3/2 - 1/4*s**u = 0.
-1, 2, 3
Let q be (-6)/(-17 + 93/6). Let x(y) be the second derivative of 0 - 2*y**q - 16*y**2 - 10*y + 8*y**3 + 1/5*y**5. Solve x(w) = 0.
2
Let r = 7178 + -7178. Let b(k) be the third derivative of 0*k**6 + 0*k**4 - 14*k**2 + 1/420*k**7 - 1/120*k**5 + 0 + 0*k + r*k**3. Factor b(q).
q**2*(q - 1)*(q + 1)/2
Suppose 313/4*k - 93/2 - 5/4*k**2 = 0. Calculate k.
3/5, 62
Suppose -4108 = 13*c - 83*c - 88*c. Let m(g) be the first derivative of -1/12*g**3 + 15/4*g**2 - 225/4*g - c. Suppose m(k) = 0. What is k?
15
Let g(i) be the first derivative of -i**6/10 + 9*i**4/4 - 2*i**3 - 18*i**2 - 42*i + 284. Let n(h) be the first derivative of g(h). Let n(m) = 0. What is m?
-3, -1, 2
Let g(w) be the first derivative of 4/9*w**3 + 53 + 79/6*w**2 - 20/3*w. Factor g(q).
(q + 20)*(4*q - 1)/3
Let r = -16216 + 16216. Let i(u) be the second derivative of r*u**4 + 1/10*u**6 + 0*u**2 + 0 + 0*u**3 - 6*u + 3/20*u**5. Factor i(z).
3*z**3*(z + 1)
Let v be 1792/2640 - (8 - (-472)/(-60)). Solve -6/11*r - 2/11*r**4 - 8/11 + v*r**3 + 10/11*r**2 = 0.
-1, 1, 4
Let d = 1537/14160 - -7/1770. Let j(c) be the third derivative of 25/32*c**4 + 27*c**2 - d*c**5 + 0 + 3/4*c**3 + 0*c. Factor j(h).
-3*(h - 3)*(9*h + 2)/4
Let w(z) be the second derivative of 0*z**3 - 48*z - 23/105*z**6 + 0*z**2 + 1 - 11/294*z**7 - 2/35*z**5 + 0*z**4. Suppose w(p) = 0. Calculate p.
-4, -2/11, 0
Let x = 135/2 + -32. Let z = -141/4 + x. Factor 11/2*b - z*b**2 - 121/4.
-(b - 11)**2/4
Suppose 5*a + 25 = -5*b, -2*b = -2*a - 268 + 278. Factor -5/2*d**3 + 0 - 11/4*d**2 + a*d + 1/4*d**4.
d**2*(d - 11)*(d + 1)/4
Let i = 147 - 109. Factor 6*q - 18 - 28*q**2 + 2*q**3 + 0*q**3 + i*q**2.
2*(q - 1)*(q + 3)**2
Let s(i) be the first derivative of 0*i**3 + 6/5*i**2 + 13*i + 3/100*i**5 - 19 - 3/20*i**4. Let a(d) be the first derivative of s(d). Factor a(g).
3*(g - 2)**2*(g + 1)/5
Suppose 2*i + 0*i + 8 = 3*b, -5*b = 3*i - 26. Suppose 14 = -i*r + 18. Determine q, given that -9*q**2 + 4*q + 22*q**2 - 18*q**