j**3 = 0.
1, 3, 6
Let j be (-13 - (-848)/96)*3/(-15). Factor 0 + 0*q + j*q**3 + 5/6*q**2.
5*q**2*(q + 1)/6
Let q(j) = j**3 - 4*j**2 + 3*j + 3. Let f be q(3). Factor 13*h**2 - 49*h**2 + 6*h**3 - f + 12*h + 21*h**2.
3*(h - 1)**2*(2*h - 1)
Let w(g) = 2*g + 9. Let n be w(-3). Suppose 4*v - 10 = -2*m, -2*v - 16 = -n*m - 1. Solve u**m + 9*u**4 - u**2 + 4*u**3 - 8*u**4 - 5*u**3 = 0.
-1, 0, 1
Let k be (-1)/(-4) - (-299)/52. Suppose 0 = k*b - 7*b - 4*r + 6, -b + 4*r = 2. Determine t, given that 0 + 2/19*t**b + 2/19*t = 0.
-1, 0
Let g = -487/20 - -123/5. Let n(l) be the second derivative of 1/2*l**3 + 0 - g*l**4 + 0*l**2 - l. Suppose n(w) = 0. Calculate w.
0, 1
Suppose 0 = -3*b - 3, -6*j = -2*j + 4*b - 4. Let h(t) be the first derivative of 3/4*t**4 + t**3 + 0*t**j + 4 + 0*t. Determine d so that h(d) = 0.
-1, 0
Let q(v) be the second derivative of -v**4/24 + 9*v**3/4 - 13*v**2/2 + 20*v - 1. Determine l so that q(l) = 0.
1, 26
Let a = 863 + -859. Let z(o) be the first derivative of -1/15*o**3 + 0*o + 8 - 1/5*o**2 + 1/20*o**a. Determine s so that z(s) = 0.
-1, 0, 2
Let p(w) be the second derivative of -w**8/1680 + w**7/126 - w**6/60 - 3*w**5/10 - 5*w**4/12 + 15*w. Let h(x) be the third derivative of p(x). Factor h(b).
-4*(b - 3)**2*(b + 1)
Let l = 265575/7 + -37937. Factor l*i - 2/7*i**2 + 0.
-2*i*(i - 8)/7
Let d = 1186 + -1178. Let c(p) be the second derivative of d*p - 1/4*p**2 - 1/6*p**3 - 1/24*p**4 + 0. Factor c(r).
-(r + 1)**2/2
Suppose 1/4*d**2 - 36*d + 1296 = 0. Calculate d.
72
Let u = -22746 - -22751. Factor -52/3*q + 134/9*q**2 + 4/3*q**4 - 1/9*q**u + 8 - 19/3*q**3.
-(q - 3)**2*(q - 2)**3/9
Suppose -5*r - 1115 = -5*l, -4*r - 657 - 245 = l. Let f = r - -227. Let 0 + 2/3*j + 0*j**f - 2/3*j**3 = 0. Calculate j.
-1, 0, 1
Let j(k) = -15*k**3 + 25*k**2 + 20*k. Let r = 85 + -105. Let x(m) = m**3. Let b(y) = r*x(y) - j(y). Factor b(i).
-5*i*(i + 1)*(i + 4)
Let k(i) = -15*i**3 - 6*i**2 - 48*i - 30. Let d(w) = -28*w**3 - 14*w**2 - 94*w - 59. Let j(t) = -6*d(t) + 11*k(t). Let j(h) = 0. What is h?
-2
Let r(n) be the third derivative of -n**8/1680 - 23*n**7/1050 - 21*n**6/200 - 61*n**5/300 - n**4/6 + 161*n**2 - n. Factor r(m).
-m*(m + 1)**3*(m + 20)/5
Let 4*w**2 + 1 + 2 + w**3 + 5*w - 1 = 0. Calculate w.
-2, -1
Let y = -83 + 183. Factor -y*r + 118*r**2 + 20*r**4 - 92*r**3 + 72*r**2 - 42*r**2 + 24.
4*(r - 2)*(r - 1)**2*(5*r - 3)
Let u(i) be the third derivative of -i**5/30 - 23*i**4/6 - 529*i**3/3 + 136*i**2. Suppose u(l) = 0. What is l?
-23
Let r be 5 + -3 + -1 - -2. Let f(j) be the first derivative of -1/10*j**4 + 2/3*j**r + 3 - 8/5*j**2 + 8/5*j. Suppose f(w) = 0. What is w?
1, 2
Suppose 16/5*r**4 - 36/5*r - 4/5*r**5 + 8/5*r**3 + 0 - 48/5*r**2 = 0. What is r?
-1, 0, 3
Let c(p) = 26*p**4 + 72*p**3 - 8*p**2 - 63*p + 9. Let a(t) = -6*t**4 - 18*t**3 + 2*t**2 + 16*t - 2. Let z(k) = 9*a(k) + 2*c(k). Let z(i) = 0. What is i?
-9, -1, 0, 1
Suppose -7*l + 20 = 4*m - 6*l, 5*m - 3*l - 25 = 0. Suppose -i + 3*i + 9 = m*o, 2*o = -3*i + 15. Factor 0 - 6/5*z**2 - 3/5*z**o + 0*z.
-3*z**2*(z + 2)/5
Suppose -89*x = -578 + 400. Factor 4/3*z**4 + 2*z + 28/9*z**3 + 2/9*z**5 + 32/9*z**x + 4/9.
2*(z + 1)**4*(z + 2)/9
Let f = -213 + 217. Suppose 3*n**3 - 3/2*n**f + 3/2 + 0*n**2 - 3*n = 0. Calculate n.
-1, 1
Let w(n) = 651*n + 6 + 99*n**2 - 417*n + 24*n**3 - 135. Let x(m) = -m**3 - m**2 + m - 1. Let l(a) = -w(a) - 18*x(a). Factor l(d).
-3*(d + 7)**2*(2*d - 1)
Let f(w) be the first derivative of 3*w**5/20 + 15*w**4/8 + 37*w**3/4 + 45*w**2/2 + 27*w + 25. Factor f(h).
3*(h + 2)**2*(h + 3)**2/4
Let c(q) = q**2 + 1. Let f = 842 + -843. Let x(i) = 3*i + 2. Let o be x(-2). Let u(d) = -d**3 - 5*d - 2. Let w(z) = f*u(z) + o*c(z). Factor w(h).
(h - 2)*(h - 1)**2
Let c(n) be the second derivative of n**8/2856 - n**6/510 + n**4/204 + 21*n**2/2 + 23*n. Let l(a) be the first derivative of c(a). Find j such that l(j) = 0.
-1, 0, 1
Let p(g) be the first derivative of 9/4*g**3 + 729/4*g - 243/8*g**2 + 19 - 1/16*g**4. Find k, given that p(k) = 0.
9
Let y(o) be the first derivative of -o**4 - 5 - 1/5*o**5 - 2*o**3 + 7*o - 2*o**2. Let j(h) be the first derivative of y(h). Factor j(u).
-4*(u + 1)**3
Suppose w - z - 5 = 0, 3*w - 7 = 2*z + 8. Let t be 5/(5*2/10). Factor -3*v**5 + 9*v**4 - 9*v**3 + 3*v**2 + 5 + 0*v**w - t.
-3*v**2*(v - 1)**3
Let v = -122 + 851/7. Let x = v + 29/35. Find w such that 2/5*w + 0 - w**4 + w**2 - x*w**3 = 0.
-1, -2/5, 0, 1
Factor 101 - 3*u**2 + 94*u + 107*u + 103.
-3*(u - 68)*(u + 1)
Let i(y) be the second derivative of 1/30*y**4 - 7*y - 2/5*y**3 + 9/5*y**2 + 0. Suppose i(k) = 0. Calculate k.
3
Let c be ((-24102)/135)/26 - -7. Solve 4/15 - 2/5*p + c*p**2 = 0 for p.
1, 2
Factor 8*c**2 + 4099*c - 5*c**3 + 4*c**4 + 21*c**3 - 4115*c - 12.
4*(c - 1)*(c + 1)**2*(c + 3)
Find t, given that -5*t**3 + 4*t**3 - 60*t + 6*t**3 + 130 + 0*t**3 - 50 = 0.
-4, 2
Let 9/8*g**2 - 9/8*g**4 + 0 - 3/8*g**5 + 33/8*g**3 - 15/4*g = 0. What is g?
-5, -1, 0, 1, 2
Suppose -46*d + 50*d = 24. Let g(i) be the second derivative of 1/50*i**5 - 1/3*i**3 + 3/5*i**2 + d*i + 0 + 1/30*i**4. Suppose g(u) = 0. What is u?
-3, 1
Suppose -102/11 - 2/11*i**3 + 38/11*i**2 - 62/11*i = 0. Calculate i.
-1, 3, 17
Let l(p) = 8*p + 1. Let u(m) = m**2 + 138*m + 167. Let t(k) = -14*l(k) + 2*u(k). Let t(d) = 0. Calculate d.
-80, -2
Let c be (-24)/(-56)*(-7 + (-336)/(-32)). What is h in -c*h**2 - 3/2*h**3 + 3/2 + 3/2*h = 0?
-1, 1
Let z(d) = 4*d**2 - 5*d - 2. Let p(b) = -5*b**2 + 5*b + 1. Let l(r) = 2*p(r) + 3*z(r). Let a(g) = g**2 - g - 1. Let i(j) = 3*a(j) - l(j). Factor i(m).
(m + 1)**2
Let m(c) be the second derivative of c**7/105 - 8*c**6/75 + 9*c**5/50 + 31*c**4/15 - 32*c**3/3 + 96*c**2/5 + 20*c + 5. Determine l so that m(l) = 0.
-3, 1, 2, 4
Suppose -o + 26 = 4*g, 0*o + 3*g - 117 = -4*o. Let s = o + -30. Let -3/2*y**4 + 2*y**3 + s - 1/2*y**2 + 0*y = 0. What is y?
0, 1/3, 1
Let d(p) = 3*p**2 + 2*p + 3. Let b(c) = 19*c**2 + 11*c + 18. Let y = -16 - -22. Let o(f) = y*b(f) - 39*d(f). Factor o(a).
-3*(a + 1)*(a + 3)
Let t(n) = -5*n - 11. Let p(m) = -m - 1. Let o(a) = -6*p(a) + t(a). Let s be o(7). Suppose 1/7*y**4 + 1/7 + 6/7*y**s - 4/7*y**3 - 4/7*y = 0. Calculate y.
1
Let i(v) = 3*v**2 + 2*v - 4. Let u be i(2). Suppose u*b - 5*b = -2*b. Factor -8/9 + b*n + 2/9*n**2.
2*(n - 2)*(n + 2)/9
Suppose -3*l - 76 = -85. Factor 0*p**2 - 6/13*p**4 + 0 + 4/13*p**l + 2/13*p**5 + 0*p.
2*p**3*(p - 2)*(p - 1)/13
Solve -43/5*f**2 - 41/5 + 83/5*f + 1/5*f**3 = 0.
1, 41
Let a(v) = v**3 - 29*v**2 - 210*v + 2. Let x be a(35). Let 3*b - 3 + 9/4*b**x = 0. Calculate b.
-2, 2/3
Let j be (6/15)/(288/120). Factor -1/2*h**3 + j*h**4 + 0*h + 1/3*h**2 + 0.
h**2*(h - 2)*(h - 1)/6
Let k(b) be the third derivative of 17/24*b**6 - 13/42*b**7 + 5/112*b**8 - 1/4*b**5 + 13*b**2 + 0 + 10/3*b**3 - 5/3*b**4 + 0*b. Suppose k(u) = 0. What is u?
-2/3, 1, 2
Let y(a) = 2*a**2 + a. Let z(c) = c**2. Let x(t) = 2*y(t) - 2*z(t). What is m in x(m) = 0?
-1, 0
Let d(v) be the first derivative of v**4/2 - 17*v**3 - 12*v**2 - 49*v + 33. Let s be d(26). Find q such that 2/13*q**s + 0 + 2/13*q**2 - 4/13*q = 0.
-2, 0, 1
Let a(h) be the first derivative of 2*h**4/15 - h**3/5 - h**2/5 + 16*h - 22. Let z(q) be the first derivative of a(q). Factor z(b).
2*(b - 1)*(4*b + 1)/5
Let s(a) be the first derivative of a**5/5 + 7*a**4/2 - 31*a**3/3 + 8*a**2 - 4. Factor s(o).
o*(o - 1)**2*(o + 16)
Factor -21/5*y + 3/5*y**2 - 24/5.
3*(y - 8)*(y + 1)/5
Find n, given that 5*n**3 + 2*n**4 - 28*n**2 + 11*n**2 + 19*n**2 = 0.
-2, -1/2, 0
Let y(z) = -6*z**2 + 91*z - 584. Let r(f) = f**2 - 1. Let j(k) = -3*r(k) + y(k). Let h(w) = 14*w**2 - 136*w + 872. Let d(v) = -5*h(v) - 8*j(v). Factor d(u).
2*(u - 12)**2
Let w = -15 - -55/4. Let q = -1/2 - w. Factor q*n**2 + 3/4 - 3/2*n.
3*(n - 1)**2/4
Let t(g) be the third derivative of -g**6/480 + g**5/60 + g**4/96 - g**3/6 - 255*g**2. Find m, given that t(m) = 0.
-1, 1, 4
Factor -28*m**4 - 36*m**2 + 17*m**4 + 2*m - 2*m**5 + 54 - 7*m**4 - 52*m**3 + 52*m.
-2*(m - 1)*(m + 1)*(m + 3)**3
Let t(q) be the second derivative of q**4/3 - 2*q**3/3 - q - 3. Factor t(k).
4*k*(k - 1)
Let m(r) be the third derivative of r**5/120 + 5*r**4/24 - 2*r**2 + 2. Factor m(j).
j*(j + 10)/2
Let z(l) be the second derivative of -l**8/1890 - 2*l**7/567 + 23*l**6/3240 - l**5/180 - 5*l**4/3 - 15*l. Le