 + 2*c - 1/20*c**5 + 0*c**2 + 1/12*c**4 + 0. Solve m(k) = 0.
0, 1
Suppose 5*b - 4 = -m, -b - 2*m + 63 = 73. Factor 1/2*u**4 + b - u**3 - 3/2*u**2 + 2*u.
(u - 2)**2*(u + 1)**2/2
Let u(g) be the first derivative of -g**4 - 16*g**3/3 - 6*g**2 + 28. What is j in u(j) = 0?
-3, -1, 0
Let r(f) be the first derivative of -f**6/3 + 14*f**5/5 - 8*f**4 + 8*f**3 - 218. Find h, given that r(h) = 0.
0, 2, 3
Suppose -3*i + 45 = -5*k + 2*i, 5*i + 75 = -5*k. Let q = 7 - k. Let 2*w - 2*w**2 - q + 19 + 3*w**2 = 0. What is w?
-2, 0
Let t = -80 + 82. Factor 2*j**t - 54*j + 18*j + 26*j.
2*j*(j - 5)
Suppose -a + 11*a = -13*a + a. Factor -3/5*v**2 + a - 6/5*v.
-3*v*(v + 2)/5
Factor 72/5 + 3/5*v**3 + 78/5*v + 27/5*v**2.
3*(v + 2)*(v + 3)*(v + 4)/5
Let m(y) = -y - 5. Let l be m(-8). Factor 74*g**2 - 70*g**2 + 8 - l*g + 15*g.
4*(g + 1)*(g + 2)
Let l(d) = d**2 + d - 1. Let a(h) = 20*h**4 - 30*h**3 - 5*h**5 + 6 - 3 + 0 + 16*h**2 + 1 - 9*h. Let u(c) = -a(c) - 4*l(c). Determine o, given that u(o) = 0.
0, 1
Determine p, given that -132*p + 3 + 72*p**2 - 54*p**2 + 12 + 99*p**2 = 0.
5/39, 1
Let h be -6 - (-3 + 4 + -5). Let t be (h/8)/((-2)/40). Find d, given that 0*d**t + 2*d**4 + d**4 - 2*d**5 + 2*d**3 - 7*d**4 + 4*d**2 = 0.
-2, -1, 0, 1
Let b(k) be the third derivative of 0 - 1/75*k**6 - 27*k**2 + 0*k**5 - 4/175*k**7 + 0*k**3 - 1/168*k**8 + 0*k + 0*k**4. Factor b(r).
-2*r**3*(r + 2)*(5*r + 2)/5
Let c(y) = 6*y + 4*y**3 + 9*y**2 + 9*y - 3 - 9*y. Let n(b) = 9*b**3 + 19*b**2 + 11*b - 7. Let z(s) = 7*c(s) - 3*n(s). Determine j so that z(j) = 0.
-3, 0
Factor 8 + 4/9*r**2 - 44/9*r.
4*(r - 9)*(r - 2)/9
Let n(q) be the second derivative of q**8/84 - q**6/15 + q**4/6 - 17*q**2/2 - 22*q. Let x(j) be the first derivative of n(j). Determine h so that x(h) = 0.
-1, 0, 1
Let y(b) = -5*b**3 + 6*b**3 - b - 9*b**2 + 3 + 0*b - 4. Suppose -2*g = 12 - 2. Let i(x) = -2*x**3 + 14*x**2 + 2*x + 2. Let a(h) = g*i(h) - 8*y(h). Factor a(m).
2*(m - 1)*(m + 1)**2
Let k(l) be the second derivative of -2*l**7/63 + 2*l**6/3 - 62*l**5/15 + 34*l**4/9 + 14*l**3 - 98*l**2/3 - 2*l + 8. Solve k(u) = 0.
-1, 1, 7
Let d(l) = 11*l**3 - 57*l**2 + 151*l - 87. Let b(y) = -20*y**3 + 115*y**2 - 300*y + 175. Let n(x) = 3*b(x) + 5*d(x). Factor n(w).
-5*(w - 9)*(w - 2)*(w - 1)
Suppose 4*i - 14 = p, -3*i = -2*p + 2*i - 31. Let j be (6/(-5))/(p/45). Factor 2*l**4 + 4*l**3 - 7*l**3 + 3*l**3 + 6*l**2 - 8*l**j.
2*l**2*(l - 3)*(l - 1)
Factor -54/5*z**4 + 556/5*z**3 - 532*z**2 + 2/5*z**5 - 686 + 5586/5*z.
2*(z - 7)**3*(z - 5)*(z - 1)/5
Let m(g) be the first derivative of 771147*g**6/2 - 2787993*g**5/5 + 127764*g**4 - 12584*g**3 + 632*g**2 - 16*g + 18. Factor m(r).
(r - 1)*(39*r - 2)**4
Suppose -c - 165 = -2*l, 0 = l + 3*c - 17 - 62. Let x = l - 82. Find z such that 0 + 2/7*z**3 - 2/7*z**5 + x*z - 2/7*z**4 + 2/7*z**2 = 0.
-1, 0, 1
Let m(k) be the second derivative of -3*k**5/20 - k**4/4 + 2*k**3 + 6*k**2 + 252*k. Determine x, given that m(x) = 0.
-2, -1, 2
Factor 40/7 - 2/7*l**2 + 16/7*l.
-2*(l - 10)*(l + 2)/7
Let u(i) be the first derivative of 5*i**4/4 - 15*i**3 + 75*i**2/2 - 35*i - 40. Factor u(c).
5*(c - 7)*(c - 1)**2
Let c(q) = -q**3 - 9*q**2 + 9*q - 8. Let l be c(-10). Determine v, given that -140*v + 305*v**2 + 140*v**3 + 8 + 7 + 5 - 245*v**4 - 80*v**l = 0.
-1, 2/7, 1
Let r(v) = -v**2 - 5*v - 1. Let k be r(-4). Let w be 5/k - (0 - 1). Factor w + 8/3*x + 2/3*x**2.
2*(x + 2)**2/3
Let u be (-2)/(-4)*5*(-6)/(-2115). Let d = u - -187/141. Find v such that 0 - 11/3*v**3 - v**4 + d*v - 8/3*v**2 = 0.
-2, 0, 1/3
Let r(x) be the third derivative of -x**7/70 + x**6/20 + 3*x**5/4 - 9*x**2 + 6. Let r(z) = 0. What is z?
-3, 0, 5
Let k be (27/6)/((-1)/4 + 1). Let k + 5*r**3 - 6*r**2 - 4*r**3 + 4*r**3 - 3*r - 2*r**3 = 0. What is r?
-1, 1, 2
Let t = 8 - 8. Let c(q) = q**2 - q + 3. Let h be c(t). Factor -4*s**3 - 3*s**3 + 5*s**h - 6*s**2 - 4*s.
-2*s*(s + 1)*(s + 2)
Suppose -5*o = 5*n + 15, -2*n - 15 = n. Factor 7*p**3 - 3*p**2 + o*p**5 + p**2 - 6*p**4 - p**3.
2*p**2*(p - 1)**3
Suppose 4*f + 5*q - q = -12, -3*q - 15 = 0. Let 0*o**f + 3*o**2 - 8*o - 26 - o**2 + 34 = 0. Calculate o.
2
Let -3/2*a**2 - 13/2*a + 1/2*a**3 + 15/2 = 0. What is a?
-3, 1, 5
Determine k, given that 0*k**3 + 0*k + 5/3*k**2 - 1/3*k**4 - 4/3 = 0.
-2, -1, 1, 2
Let l(q) be the second derivative of q**4/6 - 68*q**3/3 + 1156*q**2 + 17*q - 1. Determine c, given that l(c) = 0.
34
Let z(v) = -v**4 + v**3 + v**2. Let t(m) = -2*m**3 - m**3 + 20*m**4 - 6*m**5 - 2*m**5 - 11*m**3. Let i(y) = -t(y) - 2*z(y). Factor i(o).
2*o**2*(o - 1)**2*(4*o - 1)
Suppose 5*x + 4*i = -i + 265, -2*x = 4*i - 116. Factor 7 - 39 + 40*o + 4*o**2 - x*o.
4*(o - 4)*(o + 2)
Let o(d) be the first derivative of 1/3*d**2 + 0*d - 2/9*d**3 - 9. Let o(m) = 0. What is m?
0, 1
Factor 0 - 78*x**2 + 3/2*x**4 + 84*x + 15*x**3.
3*x*(x - 2)**2*(x + 14)/2
Suppose -4*q = q - 60. Suppose q + 6 = 6*f. Factor -2/3*t**2 - 2/9 + 2/3*t + 2/9*t**f.
2*(t - 1)**3/9
Let h(b) = 9*b**3 + 13*b**2 + 2*b - 5. Let k(v) = -v**2 + 31 + v**3 - 2*v**3 - 62 + 32. Let y(u) = h(u) + 3*k(u). Factor y(p).
2*(p + 1)**2*(3*p - 1)
Suppose -3*k - 50 + 11 = -3*n, 4*k - 36 = -4*n. Let i = -7 + n. Factor 5 + 4*f**i - 2*f**4 + 13*f + 12*f**2 - 3 - 21*f - 8*f**3.
2*(f - 1)**4
Suppose 152*b - 147*b = 0. Let l(x) be the third derivative of 0*x**3 + 1/30*x**5 + x**2 + 0 - 1/120*x**6 + b*x - 1/24*x**4. Determine o so that l(o) = 0.
0, 1
Let z(w) be the second derivative of w**5/60 - w**3/6 - w**2/3 + w. Factor z(k).
(k - 2)*(k + 1)**2/3
Let g(s) = 5*s**3 + 64*s**2 + 109*s - 1957. Let h(r) = -16*r**3 - 198*r**2 - 326*r + 5870. Let t(u) = -20*g(u) - 6*h(u). Factor t(i).
-4*(i - 5)*(i + 14)**2
Let r(s) = -7*s**4 + 8*s**3 + s**2 - 2*s - 2. Let j(v) = v**5 + 7*v**4 - 9*v**3 - v**2 + 2*v + 3. Let t(k) = 2*j(k) + 3*r(k). Determine o, given that t(o) = 0.
-1/2, 0, 1, 2
Let j(k) be the first derivative of 12 + 18*k**2 - 5*k**4 - 4*k**3 + 0*k - 4/5*k**5. Let j(i) = 0. Calculate i.
-3, 0, 1
Let i(g) be the third derivative of g**9/45360 - g**8/10080 + g**7/7560 + g**4/6 + 6*g**2. Let p(x) be the second derivative of i(x). Factor p(k).
k**2*(k - 1)**2/3
Find k, given that 16/7*k - 16/7 - 4/7*k**3 + 4/7*k**2 = 0.
-2, 1, 2
Let s = -17 - -20. Factor 2*v**2 - s*v**2 - 3 + 0*v**4 - 3*v**4 + 7*v**2.
-3*(v - 1)**2*(v + 1)**2
Suppose 4*y - 3*y - y - y**3 + y = 0. What is y?
-1, 0, 1
Factor -6*w - 21/4*w**3 - 21/2*w**2 - 3/4*w**4 + 0.
-3*w*(w + 1)*(w + 2)*(w + 4)/4
Let x be 10/(-280) - (-54)/168. Factor x*o**3 + 6/7*o**2 + 2/7 + 6/7*o.
2*(o + 1)**3/7
Suppose 0 = 3*y + 2*h - 29, 3*y - 31 = -y + 5*h. Factor y*w - 10*w + 5*w**2 - w**4 - 2*w**2 - w.
-w*(w - 1)**2*(w + 2)
Let l(p) be the first derivative of 3 + 4/5*p**5 + 2*p**4 + 4*p - 8/3*p**3 - 2/3*p**6 - 2*p**2. Factor l(n).
-4*(n - 1)**3*(n + 1)**2
Let k be (-7 - -2)*18/480*-4. Factor -1/4*o**2 + o - 1/2*o**3 + k.
-(o + 1)**2*(2*o - 3)/4
Suppose 0 = 5*x + 4*k - 399, -2*k + 0*k = -2. Let g = -79 + x. Solve 0 + 2/5*n**5 + g*n**2 + 0*n - 4/5*n**4 + 2/5*n**3 = 0.
0, 1
Let d(o) = -o**2 - 5*o - 1. Let l be d(-2). Suppose 9 = l*b - 6. Let -2*j**b + j**2 + j + j - j**2 = 0. What is j?
-1, 0, 1
Let r be 4*1/12*27/6. Let z(l) be the first derivative of -2*l - r*l**2 - 1/3*l**3 - 3. Let z(x) = 0. What is x?
-2, -1
Let q(a) be the second derivative of -a**7/210 - 2*a**6/45 - a**5/10 + 7*a**3/2 - a. Let c(i) be the second derivative of q(i). Factor c(t).
-4*t*(t + 1)*(t + 3)
Let o(h) be the second derivative of -10/3*h**3 + 4/3*h**4 - 1/5*h**5 + 0 + 4*h**2 - 29*h. Factor o(n).
-4*(n - 2)*(n - 1)**2
Suppose -2*n + 1 = -9. Let p = -194/3 + 196/3. Let 2/3*x**2 + 0 + 0*x + 2/3*x**n - p*x**4 - 2/3*x**3 = 0. Calculate x.
-1, 0, 1
Let g(z) be the first derivative of -z**4/6 + 16*z**3/9 + 11*z**2/3 - 12*z + 28. Factor g(a).
-2*(a - 9)*(a - 1)*(a + 2)/3
Let v = -280 - -561/2. Let o be ((-2)/(-7))/(6/42). Factor -v*a**3 + 1/2*a**o + a + 0.
-a*(a - 2)*(a + 1)/2
Factor -16/7*p - 46/21 - 2/21*p**2.
-2*(p + 1)*(p + 23)/21
Let p(k) be the first derivative of -19*k**3/2 + 507*k**2/4 + 27*k - 303. Factor p(y).
-3*(y - 9)*(19*y + 2)/2
Suppose 40 = o - 2*m + 5, -m + 29 = o. Let k be 8/44 + o/11. Determine h so that -1/2*h + 1/4*h**k - 1/4*h**2 + 0 = 0.
-1, 0, 2
Solve -28*x**2 - 93*x - 17*x - x**3 - 55*x + 450 = 0.
-15, 2
Let j = 3 - 3. Suppose 0 = -3*y - j*y. S