e t.
1, 2, 6
Let q(t) be the third derivative of -t**8/168 + t**7/35 + t**6/10 - 4*t**5/15 + t**2 - 6*t. Suppose q(m) = 0. Calculate m.
-2, 0, 1, 4
Let i(k) be the second derivative of -5*k**6/3 + 11*k**5/2 + 28*k**4/3 + 4*k**3 + k + 75. Factor i(z).
-2*z*(z - 3)*(5*z + 2)**2
Let k(y) = -4*y**4 - 7*y**3 - 3*y**2 + 5*y. Let x(u) = -u**4 + u**2 + u. Let a(d) = 2*k(d) - 10*x(d). Find s such that a(s) = 0.
-1, 0, 8
Let o(z) = z**3 + 9*z**2 + 3*z + 1. Let s be o(-7). Find n such that -s*n**2 - 2 + 0*n + n - 4*n + 77*n**2 = 0.
-2, -1
Let j be (2 + 2)/(2/4). Let -j*b**2 + b**3 - 4*b**2 + 0*b**3 - 5*b**3 = 0. What is b?
-3, 0
Let r(b) be the second derivative of -1/225*b**6 - 7*b - 4/45*b**4 + 2/15*b**3 + 3/5*b**2 - 1/25*b**5 + 0. Suppose r(k) = 0. What is k?
-3, -1, 1
Find z, given that -7*z**2 - 112*z + 16*z - 9*z**3 + 3*z + 6*z**3 - 198 + 109*z**2 = 0.
-1, 2, 33
Let g(z) be the second derivative of -z**8/23520 - z**7/2940 + z**6/630 - z**4/6 - 11*z. Let w(q) be the third derivative of g(q). Factor w(l).
-2*l*(l - 1)*(l + 4)/7
Let h(m) be the third derivative of m**7/42 + m**6/24 - m**5/12 - 5*m**4/24 - 11*m**2. Factor h(d).
5*d*(d - 1)*(d + 1)**2
Let y(m) be the third derivative of m**7/420 - m**6/30 - m**5/5 + 2*m**4/3 + 20*m**3/3 + 40*m**2 - 5. Factor y(w).
(w - 10)*(w - 2)*(w + 2)**2/2
Let q = 46 + -26. Suppose 0 = -2*g - 3*g + q. Determine u so that 8/7*u + 16/7*u**2 + 2/7*u**g + 10/7*u**3 + 0 = 0.
-2, -1, 0
Factor -32/9 + 10/3*b**2 - 16/9*b**3 + 2/9*b**4 + 16/9*b.
2*(b - 4)**2*(b - 1)*(b + 1)/9
Solve -15*h - 5327 - h**2 + 2*h**2 + 5341 = 0 for h.
1, 14
Let h(p) = p**3 - 5*p**2 - 12*p - 12. Let r be h(7). Determine t, given that -22*t**4 - 26*t**4 - 45*t**2 - 14*t**2 + 80*t**3 + 8*t + 15*t**r = 0.
0, 1/2, 2/3
Suppose 0*v = 2*v - 6. Suppose -v + 9 = q. Factor 3*a**2 - a**2 - q*a**2.
-4*a**2
Suppose 0 = -s + 199 + 48. Let p be ((-456)/s)/(6/(-4)). Solve -p*j**2 + 2/13 - 4/13*j = 0.
-1/2, 1/4
Let u be (-2)/(-12) - (168/(-1584) - (-18)/66). Find s such that 22/5*s**4 + u - 13/5*s**3 - s**5 + 12/5*s - 28/5*s**2 = 0.
-1, 0, 2/5, 2, 3
Let z(h) = h**2 + h - 8. Let r(s) = -2*s**2 - 2*s + 17. Let i(b) = b**3 - 6*b**2 - 18*b + 10. Let g be i(8). Let y(c) = g*r(c) - 13*z(c). Factor y(a).
-(a - 1)*(a + 2)
Let j(l) be the third derivative of -l**5/15 + 161*l**4/6 + 108*l**3 + 6*l**2 + 44. Solve j(i) = 0 for i.
-1, 162
Factor 0 - 1/7*r**2 + 15/7*r.
-r*(r - 15)/7
Let g(o) = -o**3 - 4*o**2 + 5*o + 3. Let i be g(-5). Let f(u) = 53*u + 214. Let l be f(-4). Determine q so that 0 - 1/2*q**4 - 1/4*q - q**l - 5/4*q**i = 0.
-1, -1/2, 0
Let h(j) = j**4 - j**3 - j**2 + j + 2. Let v(f) = 17*f**4 - 202*f**3 - 167*f**2 + 52*f - 6. Let c(y) = 3*h(y) + v(y). Find n, given that c(n) = 0.
-1, 0, 1/4, 11
Let d(q) be the third derivative of 0*q**4 + 1/20*q**6 + 1/224*q**8 - 21*q**2 + 0*q**5 + 0*q**3 + 0 + 1/28*q**7 + 0*q. Factor d(y).
3*y**3*(y + 1)*(y + 4)/2
Let q(z) = z**2 + 50*z + 189. Let k be q(-46). Determine a so that 72/5*a**2 + 116/5*a**3 + 16/5*a + 0 + 18/5*a**k + 78/5*a**4 = 0.
-2, -1, -2/3, 0
Let z(m) be the first derivative of 22 + 8/3*m**2 + 2/15*m**5 - 2*m - 4/3*m**3 + 0*m**4. Factor z(u).
2*(u - 1)**3*(u + 3)/3
Suppose -5*y = 2*s - 12, -264*y + 265*y + 12 = -4*s. Factor -6*q + 2*q**3 + 9/2 - q**2 + 1/2*q**y.
(q - 1)**2*(q + 3)**2/2
Factor -m**3 + 0 + 11/2*m**2 - 5/2*m.
-m*(m - 5)*(2*m - 1)/2
Let n(t) = -t**3 - 3*t**2 + 2*t + 4. Let d be n(-4). Suppose f = -3*f + d. Factor -14*v + 3*v**f - 3*v**5 - 3*v**2 + 14*v + 3*v**4.
-3*v**2*(v - 1)**2*(v + 1)
Let v be (-2)/8 + (-210)/(-40). Let 6*j**4 + 3*j + 21 - 3*j**v - 41 - 6*j**2 + 20 = 0. What is j?
-1, 0, 1
Let p(b) be the first derivative of 3*b**5/5 - 27*b**4/2 - 61*b**3 - 63*b**2 - 224. Factor p(h).
3*h*(h - 21)*(h + 1)*(h + 2)
What is t in 8 - 2/5*t**5 - 22/5*t**2 + 48/5*t - 18/5*t**4 - 46/5*t**3 = 0?
-5, -2, -1, 1
Let v(j) be the third derivative of -j**5/60 - 5*j**4/2 - 150*j**3 + 160*j**2. Let v(r) = 0. Calculate r.
-30
Let c(a) = -2*a + 9. Let b be c(4). Suppose -22*u + 21*u + b = 0. Let 9*k**4 + 25*k**2 - 33*k**3 - 3*k + 20*k**2 + u - 24*k + 5 = 0. Calculate k.
2/3, 1
Determine i so that -4*i**4 - 9*i**4 - 67*i**2 + 4 + 58*i**3 + i**4 - 3*i**4 + 20*i = 0.
-2/15, 1, 2
Let p(z) be the second derivative of -z**5/10 + 5*z**4/3 - 11*z**3 + 36*z**2 + 2*z - 15. Suppose p(w) = 0. What is w?
3, 4
Find o such that -32*o + 354 + 3*o**2 - 290 + o**2 = 0.
4
Let g = -14225 + 56905/4. Determine o, given that 15/2 + 25/4*o + g*o**2 = 0.
-3, -2
Let d(r) be the second derivative of -r**7/42 - 3*r**6/10 - 13*r**5/10 - 17*r**4/6 - 7*r**3/2 - 5*r**2/2 - 41*r. Factor d(j).
-(j + 1)**4*(j + 5)
Let r = 11347 + -56543/5. Find b, given that -612/5*b**2 - 147/5*b - 912/5*b**3 - 12/5 - r*b**4 = 0.
-4, -1/4
Suppose -3*z - 5*w + 360 + 51 = 0, -5*w = 0. Find l, given that 3*l**3 + z*l**2 - 143*l**2 + l**3 + 2*l = 0.
0, 1/2, 1
Let t(r) be the third derivative of -1/30*r**5 + 0 + 1/105*r**7 + 1/180*r**6 - 13*r**2 + 0*r + 0*r**3 + 1/504*r**8 - 1/18*r**4. Suppose t(x) = 0. What is x?
-2, -1, 0, 1
Factor 69*m**3 + 471*m - 204 - 169*m**4 + 88*m**4 + 78*m**4 - 333*m**2.
-3*(m - 17)*(m - 4)*(m - 1)**2
Factor 16*y + 9/7*y**5 + 65/7*y**4 + 16/7 + 176/7*y**3 + 216/7*y**2.
(y + 1)*(y + 2)**3*(9*y + 2)/7
Let z(u) = -u**3 - 2*u**2 - u - 1. Let h(y) = -4*y**5 + 20*y**4 + 9*y**3 - 10*y**2 + 5*y + 5. Let j(d) = -h(d) - 5*z(d). Suppose j(b) = 0. What is b?
-1, 0, 1, 5
Determine r, given that 0 + 2/7*r**2 - 50/7*r = 0.
0, 25
Let n = -2/2349 + 23512/25839. Find b such that 0*b + 2/11*b**4 + 8/11 + 0*b**3 - n*b**2 = 0.
-2, -1, 1, 2
Let r(b) = -6*b + 7. Let s(o) = -3*o + 3. Let w(l) = -4*r(l) + 9*s(l). Let f be w(-1). Suppose 2*m**2 - 5*m + 11 - 7*m - 2 + m**f = 0. What is m?
1, 3
Let h(b) be the second derivative of -b**6/2 - 81*b**5/20 + 5*b**4 + 6*b**3 - 5*b. Factor h(l).
-3*l*(l - 1)*(l + 6)*(5*l + 2)
Let t = 2457 + -12273/5. Determine d, given that t*d + 4/5*d**3 - 16/5*d**2 + 0 = 0.
0, 1, 3
Suppose -x + 9 = 0, -178 = -2*q + 4*x - 208. Let -3/2 - i**q - 19/4*i + 19/4*i**2 = 0. What is i?
-1/4, 2, 3
Let n(u) = 2*u**4 + 70*u**3 + 4*u**2 - 88*u + 6. Let a(j) = -3*j**4 - 69*j**3 - 4*j**2 + 90*j - 7. Let d(z) = 6*a(z) + 7*n(z). Solve d(l) = 0 for l.
-1, 0, 1, 19
Suppose -3*y = -5*f - 5*y + 160, 110 = 3*f + 4*y. Suppose 6 - f = -4*s. Determine z so that -6*z**2 + 8 + s*z - z - 5*z - 2*z**3 = 0.
-2, 1
Let o(k) be the first derivative of k**4/6 + 26*k**3/3 + 169*k**2 - 33*k - 10. Let u(g) be the first derivative of o(g). Factor u(l).
2*(l + 13)**2
Let w(l) be the second derivative of -l**9/15120 - l**8/6720 + l**7/1260 + l**4/4 - 14*l. Let u(y) be the third derivative of w(y). Let u(f) = 0. Calculate f.
-2, 0, 1
Let m be -2*26/(-48) - (-12)/288*6. Factor 4/3*k + 4*k**2 - m*k**3 - 4.
-4*(k - 3)*(k - 1)*(k + 1)/3
Let b(h) = h**3 + h**2 - 5*h + 7. Let s be b(-3). Suppose 0*w = 2*w + 5*v - s, 5*w - 10 = 2*v. Factor 2/11*j**w + 0*j + 0.
2*j**2/11
Suppose 5*g - 18 = 27. Let x be g*(0 + 1 + 4). Factor 6*o**2 + 2*o - 3*o**5 - x*o**4 + 39*o**4 + o.
-3*o*(o - 1)*(o + 1)**3
Factor -7 - 4*g**2 - 3 - 10*g + 3*g**2 - 15.
-(g + 5)**2
Let w(f) = f**2 - f - 1. Let i(c) = 10*c**2 - 13*c - 9. Let z(q) = 2*i(q) - 18*w(q). Solve z(k) = 0 for k.
0, 4
Let p(b) = -b**3 - 73*b**2 - 186*b + 1682. Let d be p(-70). Factor 4/9*o**d + 2/9 - 2/3*o + 4/9*o**3 - 2/3*o**4 + 2/9*o**5.
2*(o - 1)**4*(o + 1)/9
Solve -18*s**2 + 15*s**5 + 6*s**4 - 12*s**3 + 44*s**4 + 33*s**3 + 4*s**4 = 0.
-3, -1, 0, 2/5
Let x(n) be the third derivative of -n**7/210 - 7*n**6/120 + 17*n**5/60 - 3*n**4/8 - 47*n**2. Determine w, given that x(w) = 0.
-9, 0, 1
Let t(n) = -n**2 + 4*n + 2. Let w be t(5). Let i be (2 + w)/(-1 + (-53)/(-56)). Factor 8/3 + 12*k + i*k**3 + 4/3*k**5 + 8*k**4 + 64/3*k**2.
4*(k + 1)**4*(k + 2)/3
Let g(r) = -9*r**3 + 2*r + 2. Let h be g(-1). Find o such that -16*o**5 + 4*o**3 - 4*o**3 - o - 4 + h*o - 28*o**4 + 32*o**2 + 8*o**3 = 0.
-1, 1/4, 1
Let f(r) be the first derivative of r**5/100 + r**4/12 + 7*r**3/30 + 3*r**2/10 + 18*r + 19. Let z(o) be the first derivative of f(o). Factor z(d).
(d + 1)**2*(d + 3)/5
Let k(l) be the third derivative of -1/110*l**5 - 2/33*l**3 - 5/132*l**4 + 0 + 0*l - 11*l**2. Determine q, given that k(q) = 0.
-1, -2/3
Let s(v) be the third derivative of 0*v**3 + 5/8*v**6 + 