 - 3*t = -239. Suppose -3*d + g = p, 0*d + 49 = p - 3*d. Factor 30*b - 18 + 5*b**2 + 5 - p*b**2 + 9.
-2*(2*b - 1)*(11*b - 2)
Suppose a = -4*g - 2, 13*g = -2*a + 11*g + 8. Let m(q) be the second derivative of 0 - 1/4*q**4 + a*q**2 + 3*q + 0*q**3. Factor m(h).
-3*(h - 2)*(h + 2)
Suppose -47*p = 2*t - 46*p - 6, 53 = t + 13*p. Factor 1/3*h**3 - 1/3*h - h**2 + t.
(h - 3)*(h - 1)*(h + 1)/3
Let l = -1211 + 1214. Let a(c) be the first derivative of 2/3*c**l - 3 + 0*c + 0*c**2 - 3/4*c**4 + 1/5*c**5. Factor a(z).
z**2*(z - 2)*(z - 1)
Let b(j) be the first derivative of j**3/7 + 2886*j**2/7 + 2776332*j/7 - 3020. Solve b(f) = 0.
-962
Suppose -3/2*w - 1/2*w**2 + 20 = 0. What is w?
-8, 5
Let s be 13 + (-48)/160*-30. Let d(l) be the second derivative of 0*l**6 + 1/6*l**3 + 1/42*l**7 + 0 + 0*l**4 + 0*l**2 - 1/10*l**5 - s*l. Factor d(f).
f*(f - 1)**2*(f + 1)**2
Let i(p) be the third derivative of -p**5/30 - 9*p**4/2 + 55*p**3/3 + 34*p**2 - 3. Let i(z) = 0. Calculate z.
-55, 1
Let i(u) be the third derivative of u**6/840 + 9*u**5/140 - 9*u**4/8 + 99*u**3/14 - 1441*u**2. Solve i(m) = 0 for m.
-33, 3
Let w(v) be the first derivative of 4/15*v**3 + 0*v**2 + 0*v + 7 + 1/20*v**4. Solve w(d) = 0.
-4, 0
Factor 0*r - 1/3*r**4 - 1/3 + 2/3*r**2 + 0*r**3.
-(r - 1)**2*(r + 1)**2/3
Let l(k) be the third derivative of -k**8/336 + 4*k**7/105 - k**6/6 + 4*k**5/15 + 15*k**2 + 117*k. Factor l(d).
-d**2*(d - 4)*(d - 2)**2
Let n(b) be the second derivative of -3*b**5/50 + 58*b**4/15 + 689*b**3/5 + 676*b**2/5 + 421*b. Determine w so that n(w) = 0.
-13, -1/3, 52
Let f(y) = y**3 + 12*y**2 - 26*y + 31. Let m(h) = 83*h - 180. Let z be m(2). Let t be f(z). Suppose -3/4 + 3/4*v**2 + 1/4*v - 1/4*v**t = 0. Calculate v.
-1, 1, 3
Suppose -g - 4*s = -52, -302 = -3*g - 2*g + s. Factor -2*m**3 + g + 118*m - 53*m - 2*m**3 - 157*m + 36*m**2.
-4*(m - 5)*(m - 3)*(m - 1)
Factor -s**2 + 51 + 53 + 10 - 136*s - 32 + 97*s.
-(s - 2)*(s + 41)
Let y(b) = -293*b**2 - 2392*b - 384. Let m be y(-8). Factor -2/15*h**5 + 30*h**2 + 62/15*h**4 - 34*h**3 + m*h + 0.
-2*h**2*(h - 15)**2*(h - 1)/15
Suppose -5*w + 7*w - 6 = 0. Factor 32*r + 686*r**3 - w*r**4 + 0*r - 676*r**3 + 44*r**2 + r**4.
-2*r*(r - 8)*(r + 1)*(r + 2)
Let w(a) be the first derivative of 10*a**3/27 - a**2/9 - 4*a - 744. Find h such that w(h) = 0.
-9/5, 2
Let y(o) = -25*o**2 + 411*o - 1002. Let i be y(3). Factor -b**2 - 9/2*b**3 + i*b + 1/4*b**5 + 0 - 3/4*b**4.
b*(b - 6)*(b - 1)*(b + 2)**2/4
Let o be -1*(-5 - 51/(-4)) - -5. Let w = o - -35/12. Factor 2/3 - 2/3*c + w*c**2.
(c - 2)**2/6
Let m(d) be the first derivative of -75/4*d + 55/8*d**2 - 13/12*d**3 + 1/16*d**4 - 148. Let m(b) = 0. Calculate b.
3, 5
Let j(i) be the third derivative of 0 - 13*i**2 + 31/6*i**3 + 1/600*i**6 + 3/20*i**4 + 7/200*i**5 + 0*i. Let a(n) be the first derivative of j(n). Factor a(k).
3*(k + 1)*(k + 6)/5
Let q be (-7)/21*(-6)/24. Let v(s) be the third derivative of -2/3*s**3 - 2*s**2 + 0*s + 1/30*s**5 + 0 - q*s**4. Factor v(i).
2*(i - 2)*(i + 1)
Let p(f) = -2*f**2. Let h(s) = -s**2. Suppose 33*m + 42 = 30*m. Suppose a - 15 = -2*a. Let k(v) = a*p(v) + m*h(v). Factor k(c).
4*c**2
Suppose 3*j - 4*s = -10, -2*j = 2*s - 4 - 8. Let n = -1528/235 - -11166/1645. Determine p so that 30/7*p + n*p**3 + 18/7 + j*p**2 = 0.
-3, -1
Let r(x) be the first derivative of -x**4/2 - 632*x**3 - 299568*x**2 - 63108992*x + 5972. Factor r(a).
-2*(a + 316)**3
Let h = -89123/15 - -5942. Let f(i) be the first derivative of -9/20*i**4 + 0*i - 1/30*i**6 + 20 + 1/5*i**5 + h*i**3 - 1/5*i**2. Factor f(n).
-n*(n - 2)*(n - 1)**3/5
Let a(v) be the first derivative of -v**3/5 - 669*v**2/5 - 149187*v/5 - 359. Factor a(r).
-3*(r + 223)**2/5
Let m = -92411 - -92651. Solve -5/3*v**2 - m - 40*v = 0 for v.
-12
Let h(u) = u**2 - 583*u - 76. Let d(w) = w**2 - 583*w - 57. Let o(j) = 4*d(j) - 3*h(j). Factor o(v).
v*(v - 583)
Factor 4623*h - 14*h**5 - 579*h**4 + 17*h**5 - 8726 + 10463 - 18*h**3 + 3450*h**2.
3*(h - 193)*(h - 3)*(h + 1)**3
Suppose 0 = -4*q + 20 + 76. Let c be 4/q + ((-112)/(-12))/7. Let c*s**2 + s + 1/2*s**3 + 0 = 0. What is s?
-2, -1, 0
Let h(v) be the second derivative of v**8/20160 + v**7/945 + 19*v**6/2160 + v**5/30 + 17*v**4/4 - 141*v. Let f(s) be the third derivative of h(s). Factor f(t).
(t + 1)*(t + 3)*(t + 4)/3
Find l, given that 0*l**2 + 0 + 4/5*l**3 - 20*l = 0.
-5, 0, 5
Let z be (-3 - -2)/(3/(-4419)). Factor 0*t**3 + z*t**4 + 3*t**5 - 6*t**3 - 1470*t**4.
3*t**3*(t - 1)*(t + 2)
Suppose -6*u + 30 - 6 = 0. Suppose h + u = 8. Factor 54*o**h + 59*o**4 - 4*o - 114*o**4 + 3*o**3.
-o*(o - 2)**2*(o + 1)
Let a(v) be the second derivative of v**5/5 - 2941*v**4 + 17298962*v**3 - 50876247242*v**2 + 5868*v + 2. Let a(f) = 0. What is f?
2941
Suppose -218*v + 211*v = 3220. Let f = v + 462. Factor 2/3*x**f - 2/3 + 0*x.
2*(x - 1)*(x + 1)/3
Find r such that -185/6*r**3 - 4/3*r**5 + 13/3 + 193/6*r + 119/6*r**4 - 145/6*r**2 = 0.
-1, -1/8, 1, 2, 13
Let h = 53538 - 53538. Factor -2/3*q**3 + 0*q + 0*q**2 + q**4 - 1/3*q**5 + h.
-q**3*(q - 2)*(q - 1)/3
Let k = 73 + -67. Suppose k*o = -2 - 46. Let j(c) = -4*c**2 + 18*c + 4. Let y(d) = -d**2 + 6*d + 1. Let r(m) = o*y(m) + 3*j(m). Factor r(g).
-2*(g - 2)*(2*g + 1)
Let y(x) be the first derivative of x**4 + 32*x**3/3 - 2*x**2 - 32*x + 4373. What is j in y(j) = 0?
-8, -1, 1
Let j(i) be the third derivative of -i**5/120 - 19*i**4/48 - 17*i**3/6 - 1054*i**2. Factor j(q).
-(q + 2)*(q + 17)/2
Let v = -269 + 271. Factor 80*l**3 - 21*l**2 + 4*l**4 + 720*l + 101*l**v + 324 + 392*l**2.
4*(l + 1)**2*(l + 9)**2
Let l(m) be the third derivative of -m**5/45 - 137*m**4/18 + 280*m**3/3 - 8*m**2 + 87*m. Factor l(f).
-4*(f - 3)*(f + 140)/3
Let s be 0 + (-4 - 0)/(2/(-1)). Factor -23*u**3 - 314*u - s*u**4 - 510*u**2 - 28*u**3 - 11*u**3 - 136*u.
-2*u*(u + 1)*(u + 15)**2
Let r(t) be the second derivative of 10*t + 45/2*t**2 + 1/4*t**4 + 4*t**3 + 0. Factor r(y).
3*(y + 3)*(y + 5)
Let s be ((-6)/(-4))/((-10)/(-20)). Find n such that 3*n**2 - 3 - 5*n**3 + 32*n**3 - 24*n**3 - s*n = 0.
-1, 1
Let x(y) = -7*y**3 + 20*y + 2. Let g(m) = -22*m**3 + 60*m + 7. Suppose 3*o + u = 2, -u = -23 + 27. Let q(i) = o*g(i) - 7*x(i). Factor q(w).
5*w*(w - 2)*(w + 2)
Let f(z) be the third derivative of 0*z - 4/3*z**3 + 1/30*z**6 - 1/2*z**4 + 0 + 269*z**2 + 0*z**5. Let f(j) = 0. Calculate j.
-1, 2
Let q = -6 + 22. Suppose q = 10*r - 6*r. Solve -17 + m**2 - 21*m + 0 - r*m**2 - 1 = 0 for m.
-6, -1
Let h(j) be the third derivative of -j**6/200 + 13*j**5/100 - j**4/2 - 10*j**3 + 3422*j**2. Solve h(w) = 0.
-2, 5, 10
Let j(b) = b**3 - 2628*b**2 - 767380*b - 74691260. Let c(p) = 6*p**3 - 13140*p**2 - 3836901*p - 373456299. Let n(a) = 4*c(a) - 21*j(a). Factor n(m).
3*(m + 292)**3
Suppose 6*o - 10*o + 4*c + 4 = 0, 2*c = -5*o + 26. Factor -6*i**4 + 2*i**3 + 6*i**4 - 2*i**o + 0*i**3 + 10*i**2 + 6*i.
-2*i*(i - 3)*(i + 1)**2
Let z be (3*(-13)/(-39))/((-12)/(-6)). Let x(y) be the second derivative of 0 - 2/3*y**4 + 0*y**2 + 0*y**3 - 1/15*y**6 - z*y**5 + 37*y. Let x(g) = 0. What is g?
-4, -1, 0
Let p = 139 - 158. Let n be -8*3/30 + p/(-5). Solve 1 - a**2 - 1/2*a**n + 1/2*a = 0 for a.
-2, -1, 1
Factor -732*k**3 - 896*k - 324*k**4 - 292 - 420*k**3 - 1528*k**2 + 96.
-4*(k + 1)**2*(9*k + 7)**2
Let -25/2*g**4 + 25*g + 0 - 5/2*g**5 + 85/2*g**2 + 15/2*g**3 = 0. What is g?
-5, -1, 0, 2
Let f(u) be the first derivative of -3*u**4/16 + 1027*u**3/4 + 6171*u**2/8 + 3087*u/4 + 1641. Suppose f(a) = 0. What is a?
-1, 1029
Let g(p) be the first derivative of p**5/20 - 7*p**4 - 227*p**3/12 - 57*p**2/4 + 171. Let g(v) = 0. What is v?
-1, 0, 114
Let c(t) be the third derivative of -t**8/2856 - 22*t**7/357 - 143*t**6/340 - 266*t**5/255 - 53*t**4/51 + 3731*t**2 - t + 1. Solve c(x) = 0.
-106, -2, -1, 0
Suppose 17*g - 88 + 5 = 2. Let a(b) be the first derivative of -10/3*b**3 - 90*b + 195/2*b**2 + 2*b**g + 21 - 45/4*b**4. Factor a(q).
5*(q - 3)**2*(q + 2)*(2*q - 1)
Let b(f) be the first derivative of -32*f**3/3 - 30*f**2 + 2052*f + 2535. Let b(s) = 0. Calculate s.
-9, 57/8
Suppose -40*q + 43779 = -5101. Suppose 1210*b + 36 = q*b. Determine s so that 6 - 45/4*s**2 + 21/4*s**4 + 39/2*s**b - 39/2*s = 0.
-4, -1, 2/7, 1
Let u = 714 + -108531/152. Let z = u - -117/152. Determine f so that -f**3 - 13/4*f + 4*f**2 + z = 0.
1/2, 3
Let l(u) be the first derivative 