f m**7/42 - m**6/12 + m**5/12 + 3995*m**2. Factor t(q).
5*q**2*(q - 1)**2
Let z be (0 + 0/3)/(23 - 22). Let f(a) be the third derivative of 1/8*a**4 - 2*a**2 + 1/10*a**5 + 0 + 0*a**3 + z*a + 1/40*a**6. Factor f(y).
3*y*(y + 1)**2
Suppose -256/5 - 16/5*v**4 - 192*v + 48*v**3 - 772/5*v**2 = 0. What is v?
-1/2, 8
Let g(s) be the first derivative of 80/3*s**3 + 165/2*s**2 - 68 + 70*s - 15/4*s**4. Find c such that g(c) = 0.
-1, -2/3, 7
Let x(w) be the third derivative of -w**8/84 - 2*w**7/7 + 31*w**6/10 - 137*w**5/15 + 10*w**4 + 1107*w**2. Determine d so that x(d) = 0.
-20, 0, 1, 3
Let m = 48823/20 + -2441. Let s(l) be the first derivative of 3/16*l**4 + 9 + 0*l**2 + 0*l**3 + m*l**5 + 0*l. Find c, given that s(c) = 0.
-1, 0
Let r = 845609 - 6764773/8. Solve -300*p - 625/2 + r*p**2 - 1/8*p**3 = 0.
-1, 50
Find a, given that 13/5*a - 1/5*a**2 - 36/5 = 0.
4, 9
Let o(q) be the third derivative of 5*q**8/336 - q**7/42 - 35*q**6/24 - 55*q**5/12 + 85*q**4/12 + 140*q**3/3 - 9*q**2 + 61*q. Determine p, given that o(p) = 0.
-4, -2, -1, 1, 7
Let y be (-23)/((-4991)/(-14)) + 648/1395. Suppose -y*c**5 + 2*c**3 - 8/5*c + 6/5*c**2 + 0 - 6/5*c**4 = 0. Calculate c.
-4, -1, 0, 1
Let u(p) = 21*p**3 + 45*p**2 - 54*p - 36. Let n(d) = -2*d**3 - d**2 + 3. Let k(i) = -12*n(i) - u(i). What is y in k(y) = 0?
0, 2, 9
Let r be 3/((-22)/550*(4 + -1)). Let s(f) = -10*f**3 + 24 + 0*f + 25*f + 1 - 10*f**4. Let a(v) = v**4 - v - 1. Let k(w) = r*a(w) - s(w). Factor k(q).
-5*q**3*(3*q - 2)
Let c(w) be the second derivative of -w**4/18 - 10*w**3/9 - 3*w**2 - 3960*w. Find a such that c(a) = 0.
-9, -1
Let h(d) be the first derivative of -d**5 + 95*d**4/2 + 395*d**3/3 + 100*d**2 + 1046. Suppose h(b) = 0. What is b?
-1, 0, 40
Let d(b) be the third derivative of 0*b + 0 + 3/280*b**7 + 147*b**2 + 0*b**4 + 0*b**3 - 1/40*b**5 + 1/160*b**6. Factor d(n).
3*n**2*(n + 1)*(3*n - 2)/4
Find m, given that 1/11*m**5 + 2283/11*m**2 + 1200/11 + 45/11*m**4 + 607/11*m**3 + 2920/11*m = 0.
-20, -3, -1
Let s(z) be the third derivative of 1/490*z**7 - 323/14*z**4 + 43*z**2 + z + 0 + 17/140*z**6 + 213/140*z**5 + 722/7*z**3. Factor s(r).
3*(r - 2)**2*(r + 19)**2/7
Let u(z) be the first derivative of 5/11*z**3 + 20*z - 8/11*z**2 + 1/33*z**4 + 40. Let c(k) be the first derivative of u(k). Solve c(g) = 0 for g.
-8, 1/2
Let r(i) be the second derivative of 0 - 2/9*i**3 - 10*i + 5/2*i**2 + 1/90*i**5 - 1/36*i**4. Let a(u) be the first derivative of r(u). Solve a(m) = 0.
-1, 2
Let f = 3624443/13964125 + -227/875. Let g = 9128558/79795 - f. Factor -g*i**2 + 242/5*i**3 + 184/5*i - 16/5.
2*(i - 2)*(11*i - 2)**2/5
Let y(z) = 5*z + 25. Let w be y(0). Let 401 - w*r + 5*r**2 + 401 - 772 = 0. What is r?
2, 3
Solve -96/13 + 120/13*y**2 - 232/13*y - 24/13*y**4 + 242/13*y**3 - 10/13*y**5 = 0.
-6, -1, -2/5, 1, 4
Let g(w) be the third derivative of -w**8/4200 + 667*w**7/875 - 444889*w**6/500 + 296740963*w**5/750 + 2881*w**2. Factor g(a).
-2*a**2*(a - 667)**3/25
Let s(l) be the second derivative of l**5/120 - 11*l**4/72 + 2*l**3/9 + 5*l**2/3 + 29*l - 32. Factor s(i).
(i - 10)*(i - 2)*(i + 1)/6
Factor -615/4 - 153*f + 3/4*f**2.
3*(f - 205)*(f + 1)/4
Let l(v) be the second derivative of v**6/210 + 201*v**5/70 + 13467*v**4/28 + 2*v + 3515. Factor l(j).
j**2*(j + 201)**2/7
Let t = 346699 + -1733494/5. Factor -24/5 + 2*g + t*g**2.
(g - 2)*(g + 12)/5
Find j such that 292 - 14*j**3 - 8 + 16*j**3 - 566*j + 280*j**2 = 0.
-142, 1
Let z = 46 + -81. Let v = z - -51. Suppose -l - 3*l**2 + 12*l**4 + 7*l**4 + 3*l**3 - v*l**4 - 2*l = 0. What is l?
-1, 0, 1
Let t(w) be the third derivative of w**6/360 + 131*w**5/180 + 4819*w**4/72 + 3721*w**3/2 + w**2 - w + 1465. Factor t(u).
(u + 9)*(u + 61)**2/3
Let n(r) be the third derivative of 1/380*r**6 + 9/190*r**5 + 25/228*r**4 + 0 + 27*r - 1/399*r**7 - 2*r**2 + 2/19*r**3. Solve n(p) = 0.
-1, -2/5, 3
Suppose 10*p = 117 + 233. Suppose -13 = -p*q + 57. Find b, given that 66/7*b - 78/7*b**q + 12/7 = 0.
-2/13, 1
Let x be 2/(-3)*(-19 - 840/(-45)). Let o(y) be the first derivative of -1 + x*y**2 + 4/45*y**5 + 1/3*y**4 + 4/9*y**3 + 0*y. Factor o(j).
4*j*(j + 1)**3/9
Let y(i) be the first derivative of 21*i**3 - 12*i + 111 - 51/5*i**5 - 33/2*i**6 + 159/4*i**4 - 30*i**2. Determine g so that y(g) = 0.
-1, -2/11, 2/3, 1
Let j(i) be the second derivative of 102885*i**5/4 + 113715*i**4/2 + 50274*i**3 + 111132*i**2/5 - 9329*i. What is g in j(g) = 0?
-42/95
Let y be 1 - ((3 - -1) + 3). Let h(k) = 90*k + 5. Let u(m) = m**2 - 89*m - 6. Let o(z) = y*h(z) - 5*u(z). Determine i, given that o(i) = 0.
-19, 0
Let r(p) be the second derivative of -9*p**8/2240 + p**7/120 + p**6/120 - 11*p**4/3 + 10*p. Let s(i) be the third derivative of r(i). Factor s(x).
-3*x*(x - 1)*(9*x + 2)
Suppose 3*n = 5*b - 98, 3*b - 5*b + 5*n + 24 = 0. Suppose 3*x = 4*s - b, x = 5*x + 8. Factor 9*j**2 + 6*j - j**s - j + j - 2*j**4.
-3*j*(j - 2)*(j + 1)**2
Suppose -3*b - 866 = -908. Let u(t) = -2*t**2 + 75*t - 445. Let g(l) = 6*l**2 - 222*l + 1336. Let v(p) = b*u(p) + 5*g(p). Find r such that v(r) = 0.
15
Let x be (-2289)/1635 - 21/(-15). Let 48/7*y - 2/7*y**5 + x - 4/7*y**3 + 40/7*y**2 - 10/7*y**4 = 0. What is y?
-3, -2, 0, 2
Factor -287296/5 - 1/5*q**2 + 1072/5*q.
-(q - 536)**2/5
Let z(l) be the first derivative of 512*l + 81 - 64*l**2 + 10*l**4 - 4/5*l**5 - 32*l**3. Factor z(n).
-4*(n - 4)**3*(n + 2)
Factor -99*g + 144 + 18*g**2 - 1/3*g**3.
-(g - 48)*(g - 3)**2/3
Let v(s) be the first derivative of -s**4 + 84*s**3 + 546*s**2 - 1340*s - 2695. Let v(p) = 0. Calculate p.
-5, 1, 67
Suppose 2*g - u - 2*u = -1, g - 3*u = -8. Suppose -12*y - 4*h = -14*y, -4*y + h = -g. Factor -2/3*v**3 + 0 - 2*v**y + 0*v.
-2*v**2*(v + 3)/3
Let v(x) be the first derivative of -x**6/33 + 32*x**5/55 - 63*x**4/22 - 32*x**3/33 + 64*x**2/11 - 2469. Find j, given that v(j) = 0.
-1, 0, 1, 8
Let c = -3976 - -3981. Let v(f) be the third derivative of 12*f**2 + 1/30*f**c + 1/20*f**6 + 0*f**3 + 0*f + 1/168*f**8 + 0*f**4 + 1/35*f**7 + 0. Factor v(i).
2*i**2*(i + 1)**3
Let y(j) = -j**5 + 2*j**4 - 14*j**3 + j**2. Let u(g) = -41*g**5 - 743*g**4 - 142*g**3 + 2*g**2. Let p(d) = -u(d) + 2*y(d). Factor p(n).
3*n**3*(n + 19)*(13*n + 2)
Let y(b) be the second derivative of b**6/6 + b**5/2 - 5*b**4/3 - 5*b**3/3 + 15*b**2/2 + 392*b. Factor y(l).
5*(l - 1)**2*(l + 1)*(l + 3)
Let o(b) be the second derivative of b**6/540 - b**5/90 - b**4/12 - 143*b**3/6 + 11*b - 5. Let k(z) be the second derivative of o(z). Solve k(w) = 0.
-1, 3
Let f(q) be the third derivative of -q**7/105 + 13*q**6/20 - 203*q**5/30 + 55*q**4/4 + 128*q**2 + 7*q - 2. Factor f(y).
-2*y*(y - 33)*(y - 5)*(y - 1)
Let r(p) = p**3 + 6*p**2 - 3*p - 16. Let m be r(-5). Determine g so that -m*g**2 + 9 - 10 + 1 + 12*g - 63*g**3 = 0.
-2/3, 0, 2/7
Let c(w) be the third derivative of w**7/50 - w**6/40 - 13*w**5/20 + 9*w**4/8 + 9*w**3/5 - 787*w**2. Let c(o) = 0. What is o?
-3, -2/7, 1, 3
Let o(r) = 515*r**2 - 50317*r + 79077888. Let f(m) = 277*m**2 - 25159*m + 39538944. Let i(l) = 13*f(l) - 7*o(l). Factor i(p).
-4*(p - 3144)**2
Let -205*j - 83*j + 5*j**2 + 1270 + 800*j + 763*j = 0. What is j?
-254, -1
Let h(c) be the third derivative of -c**6/40 - 827*c**5/60 + 139*c**4/12 + 92*c**3 + 2839*c**2. Factor h(d).
-(d - 1)*(d + 276)*(3*d + 2)
Let v(k) be the third derivative of -108/5*k**3 - 14 - 19/525*k**7 + 1/840*k**8 + 54/5*k**4 - 147/50*k**5 - k**2 + 9/20*k**6 + 0*k. Let v(p) = 0. What is p?
1, 3, 6
Let d(b) be the first derivative of -8*b**5/5 - 1425*b**4 - 340804*b**3 - 1264510*b**2 - 1512300*b - 580. Solve d(x) = 0 for x.
-355, -3/2, -1
Let q = -336 + 341. Suppose 3*a - 16*y = -14*y - 4, -3*a + q*y - 10 = 0. What is m in 2/3*m - 1/3*m**2 + a = 0?
0, 2
Let r(b) be the first derivative of -b**4/6 + 278*b**3/3 - 19321*b**2 + 5371238*b/3 - 5883. Suppose r(p) = 0. Calculate p.
139
Let l(n) be the second derivative of 3 - 147/2*n**2 + 13*n + 1/60*n**5 + 161/6*n**3 - 43/36*n**4. Suppose l(i) = 0. What is i?
1, 21
Let f be (1 - -7)*(-147)/(-294). Let u be (4 - 2)*3/2. What is h in -f*h**3 + 0*h**2 + 2*h**3 - 2*h**2 + h**5 - 2*h**3 + u*h + 2*h**4 = 0?
-3, -1, 0, 1
Let a be (-3 - 74/(-26)) + 28/13. Suppose -a*y + 3 = h, 2*y + 3*h + 4 = -3. Factor -9*s + 4*s**2 - s + y*s**2 + 2 + 0.
2*(s - 1)*(4*s - 1)
Let n(l) be the first derivative of -148*l**5/85 - 1