 + 14*v - 13. Let m(j) = 3*j**2 - 7*j + 6. Let n(a) = 4*i(a) + 10*m(a). Let z(d) = 2*h(d) + n(d). Solve z(y) = 0.
1, 2
Let l(n) be the second derivative of 1/3*n**3 + 1/6*n**4 + 0*n**2 + 0 - 20*n. What is b in l(b) = 0?
-1, 0
Factor -68/5*m**2 - 2/5*m**3 + 0 - 578/5*m.
-2*m*(m + 17)**2/5
Let o(r) be the second derivative of -r**9/6048 - r**8/672 - 5*r**7/1008 - r**6/144 - 7*r**4/6 + 6*r. Let l(q) be the third derivative of o(q). Factor l(i).
-5*i*(i + 1)**2*(i + 2)/2
Let k be (-2)/8 + -1 + (-51)/(-36). Let n(m) be the second derivative of 0*m**2 + k*m**3 + 0 + 4*m - 13/24*m**4. Find w such that n(w) = 0.
0, 2/13
Let b(z) be the third derivative of z**8/112 + z**7/70 - 17*z**6/40 + 3*z**5/4 + 576*z**2. Factor b(r).
3*r**2*(r - 3)*(r - 1)*(r + 5)
Let m(a) = 2*a - 6. Suppose -5*x = -70 + 55. Let y be m(x). Factor 0*z - 2*z**4 + 4/5*z**5 + 4/5*z**3 + y*z**2 + 0.
2*z**3*(z - 2)*(2*z - 1)/5
Let i(n) be the third derivative of -1587*n**5/110 - 115*n**4/22 - 25*n**3/33 + 113*n**2 + 2. Factor i(l).
-2*(69*l + 5)**2/11
Let b(l) = -3*l**2 - 610*l - 30619. Let i(m) = -m - 4. Let d(a) = -b(a) + 4*i(a). Determine j so that d(j) = 0.
-101
Let i be 1*3/36*2. Let j(k) be the first derivative of 1/9*k**3 - 1/3*k - i*k**2 - 6 + 1/12*k**4. Solve j(a) = 0 for a.
-1, 1
Let h(y) be the second derivative of y**9/25200 - 3*y**8/11200 + y**7/2100 + 7*y**4/12 - 2*y. Let s(v) be the third derivative of h(v). Solve s(u) = 0 for u.
0, 1, 2
What is k in -3*k + 20/3 + 1/3*k**2 = 0?
4, 5
Factor 10*o**2 - 44*o**2 - 5*o**3 - 46*o**2.
-5*o**2*(o + 16)
Let h(i) be the second derivative of 1/30*i**4 + 14/5*i**2 - 14 + i**3 + i. Let h(s) = 0. Calculate s.
-14, -1
Suppose 0 = -3*p + o + 3*o - 5, 2*o = -3*p + 7. Let u = -1 + p. Determine n, given that 8*n**4 + u*n - 6*n**3 - 10/3*n**5 + 0 + 4/3*n**2 = 0.
0, 2/5, 1
Let 6*r + 5*r**2 + 2 + 39 - 39*r + 9 - 2*r = 0. Calculate r.
2, 5
Let q = -66925/7 - -9561. Factor -q*f**2 + 6/7*f - 4/7.
-2*(f - 2)*(f - 1)/7
Let c be 6/(-2) + -12 - -19. Determine j, given that -6/7*j**2 + 1/7*j + 12/7*j**3 - 8/7*j**c + 0 = 0.
0, 1/2
Let g(m) be the first derivative of -2*m**3/57 + 2*m**2/19 - 2*m/19 + 303. Factor g(v).
-2*(v - 1)**2/19
Let s(c) = -c**2 - 11*c + 4. Let k be s(-11). Let -4*j**2 - 5*j**3 - 13*j**3 + 6*j**3 + 11*j**k - 4*j**4 = 0. Calculate j.
-2/7, 0, 2
Let n(m) = 12*m**2 + 259*m - 271. Let a(o) = -7*o**2 - 129*o + 136. Let w(x) = 11*a(x) + 6*n(x). Factor w(i).
-5*(i - 26)*(i - 1)
Let j be 21/28*8/3. Factor -18*q + 81/2*q**j + 2.
(9*q - 2)**2/2
Let f(h) = -17*h**2 - 257*h + 247. Let x(w) = 4*w**2 + 64*w - 62. Let r(m) = 4*f(m) + 18*x(m). Factor r(l).
4*(l - 1)*(l + 32)
Let f(x) = -x**5 - 11*x**4 + 12*x**3 - 5*x**2 - x. Let t(s) = s**5 + s**4 - s**2 + s. Suppose -5 - 1 = 2*r. Let h(d) = r*t(d) - f(d). Let h(w) = 0. Calculate w.
0, 1
Let i = 128 - 125. Let u be (-17)/(204/8) + 4/i. Factor 0 - u*m - 7/3*m**2.
-m*(7*m + 2)/3
Suppose 5*g = -4 - 6, 4*g = -4*q + 32. Let 2*i**5 + 6*i**5 + 12*i**3 - q*i**2 + 3*i - 7*i**5 - 6*i**4 = 0. What is i?
0, 1, 3
Let q = 27 + -30. Let o = q - -6. Factor -2*u**4 + 5*u**o + 4*u**4 - 7*u**3.
2*u**3*(u - 1)
Let o = -4579 + 4582. Determine j, given that 0 + 0*j**2 + 0*j - 4/5*j**o + 6/5*j**4 = 0.
0, 2/3
Let g(s) = -2*s + 9. Let t be g(2). Suppose -9*f = -t + 5. Solve 2/13*u**2 + f*u + 2/13*u**3 + 0 = 0.
-1, 0
Let r(l) be the first derivative of -l**6/45 + l**5/30 + l**4/18 - l**3/9 - 6*l + 2. Let i(c) be the first derivative of r(c). Suppose i(z) = 0. What is z?
-1, 0, 1
Suppose 0 = -3*s + 2*s - 6. Let v be (3/s)/(3/(-18)). Factor -2*r**2 - 3*r**5 + 2*r**2 - 2*r**2 + v*r**3 + 5*r**2 - 3*r**4.
-3*r**2*(r - 1)*(r + 1)**2
Let a(l) be the second derivative of l**4/126 - 418*l**3/63 + 43681*l**2/21 + 44*l + 3. Solve a(o) = 0.
209
Let a(m) be the second derivative of -m**4/42 - 4*m**3/7 - 36*m**2/7 + m + 57. Factor a(t).
-2*(t + 6)**2/7
Let w(d) be the first derivative of 5*d**4/12 + 5*d**3/6 - 10*d - 13. Let z(y) be the first derivative of w(y). Factor z(t).
5*t*(t + 1)
Suppose l = 3*d + 2*l - 18, -4*d + 32 = 4*l. Suppose 2*a + 5*u = 33, 32 = d*a + 3*u - 3. Determine o so that -1 + 4*o**4 + 3*o**3 - o**a - 6*o**2 + 1 = 0.
-2, 0, 1
Let m be (4/10)/((-351)/90 + 4). Let -3*v**2 - 28*v**3 - 5*v**2 + 20*v**4 + 12*v**5 + m*v**5 + 0*v**5 = 0. What is v?
-2, -1/4, 0, 1
Let i(x) be the third derivative of -x**5/270 + x**4/27 + 7*x**3/9 - 3*x**2 + 39*x. Factor i(o).
-2*(o - 7)*(o + 3)/9
Let x(v) = v**3 + 2*v**2 + 2*v + 1. Let o(g) = -g**3 + 10*g**2 + 29*g - 2. Let r(h) = -3*o(h) - 6*x(h). Factor r(i).
-3*i*(i + 3)*(i + 11)
Let n = 872 - 870. Let -1/4 - 1/2*u + 0*u**n + 1/4*u**4 + 1/2*u**3 = 0. What is u?
-1, 1
Let w(b) = -4*b**3 - 29*b**2 + 18*b. Let z(y) = 7*y**3 + 44*y**2 - 27*y. Let c(n) = 8*w(n) + 5*z(n). Solve c(v) = 0.
0, 1, 3
Let o(m) = 39*m**4 - 3*m**3 - 36*m**2 + 9*m + 3. Let j(i) = -80*i**4 + 5*i**3 + 73*i**2 - 19*i - 7. Let t(y) = -3*j(y) - 7*o(y). Determine w so that t(w) = 0.
-1, 0, 2/11, 1
Let h be (3 + 1 - 4)/(-2). Suppose -2*g - 10 + 0*g**2 + 2*g**2 + 10*g + h*g**2 = 0. What is g?
-5, 1
Let i be (-4)/4 - 6/(-4). Let t(l) be the first derivative of 2 + 1/3*l**3 + 1/4*l**2 - i*l. What is o in t(o) = 0?
-1, 1/2
Suppose 5*u = 5*f - 5, 4*u - 14 = -272*f + 270*f. Let -2/5*h + 0 - 2/5*h**u + 2/5*h**3 + 2/5*h**4 = 0. Calculate h.
-1, 0, 1
Let h = -692 + 695. Let x(l) be the second derivative of 1/24*l**4 + 0 - 1/24*l**h - 1/8*l**2 + 3*l. Factor x(c).
(c - 1)*(2*c + 1)/4
Let k(o) be the second derivative of -o**3/2 - 6*o**2 + 5*o. Let f be k(-8). Solve f*p + 13*p**2 + 6*p**2 + 2*p - 4 - p**2 = 0 for p.
-1, 2/9
Let f(w) = 1 + 3 - 9 - w. Let a be f(-7). Factor 2*p + a*p - 5*p**2 - 3*p**2 + 4*p**2.
-4*p*(p - 1)
Let h(q) be the first derivative of -5*q**4/4 - 20*q**3/3 + 55*q**2/2 - 30*q + 150. Factor h(f).
-5*(f - 1)**2*(f + 6)
Let w(d) be the third derivative of -d**8/504 - 8*d**7/315 - 13*d**6/180 - d**5/15 + 44*d**2. Find l, given that w(l) = 0.
-6, -1, 0
Let n = 2234 - 2231. Factor 1/4*s**n - 1/4*s**2 + 1/4 - 1/4*s.
(s - 1)**2*(s + 1)/4
Let g(q) be the third derivative of 16 - 2*q**2 + 0*q**3 - 1/20*q**5 - 1/2*q**4 + 0*q. Factor g(b).
-3*b*(b + 4)
Factor -10*m**3 - 4*m**2 + 82*m + 30 - 8*m**3 + 43*m + 19*m**2 - 2*m**3.
-5*(m - 3)*(m + 2)*(4*m + 1)
Let b be (261/(-145))/(4/70). Let l = -31 - b. Let l*k**3 + 0 + 3/2*k**2 + k = 0. What is k?
-2, -1, 0
Factor 5/2*d + 3/4*d**2 - 1/4*d**3 + 0.
-d*(d - 5)*(d + 2)/4
Let m be (-1 - 388/(-4))*(-4)/(-12). What is g in 2*g**2 - 7*g**2 + 5*g**2 - 4*g**2 - m*g = 0?
-8, 0
Let z = -17 - -17. Suppose z*h = 3*h + 4*s - 14, -2*h = s - 11. Factor -6*d**4 + 3*d + 4*d**2 + 0*d**5 + h*d**5 + 2*d**2 - 9*d**5.
-3*d*(d - 1)*(d + 1)**3
Let w(o) be the third derivative of o**5/15 - 5*o**4/6 - 4*o**3 - 2*o**2 + 87*o. Factor w(c).
4*(c - 6)*(c + 1)
Let a = 7 + -14. Let f be -3 + -2*a/2. Factor i**2 - 3*i**2 - 5*i**4 + 7*i**f.
2*i**2*(i - 1)*(i + 1)
Let a be (7 - (-405)/(-75))*(-2)/(-24). Let 0*q - 2/15*q**5 - 2/15*q**2 + a*q**3 + 2/15*q**4 + 0 = 0. Calculate q.
-1, 0, 1
Suppose -1/2*l**2 - 9/4*l**4 + 0 - 11/4*l**3 + 0*l = 0. What is l?
-1, -2/9, 0
Let m(j) be the third derivative of j**6/90 - 13*j**5/45 + 66*j**2. What is s in m(s) = 0?
0, 13
Let t(r) be the second derivative of -r**7/42 - 2*r**6/15 + r**5/10 + 2*r**4/3 - r**3/6 - 2*r**2 - 70*r. Determine m so that t(m) = 0.
-4, -1, 1
Find y such that -2*y - 7/4 - 1/4*y**2 = 0.
-7, -1
Let h be 0/(7 + (8 - 22)). Factor 4/3*f**2 - 1/3*f**4 + h*f**3 + 0*f + 0.
-f**2*(f - 2)*(f + 2)/3
Factor 19*j**2 + 15*j**3 - 3*j**3 + 4*j**5 + 0*j**2 - 15*j**2 + 12*j**4.
4*j**2*(j + 1)**3
Let d be 268/24 - -3 - 1/6. Solve -21 + 6*i - d + 32 - 3*i**2 = 0.
1
Let s(g) be the third derivative of -2*g**7/735 - 2*g**6/105 - g**5/35 - 154*g**2. Find l, given that s(l) = 0.
-3, -1, 0
Let c(b) be the third derivative of b**5/510 + b**4/204 - 4*b**3/17 + 30*b**2 - 3. What is m in c(m) = 0?
-4, 3
Let r(s) = 9*s**2 - 17*s + 13. Let f be 32/(-2) - (1 - 1). Let o(y) = -28*y**2 + 52*y - 40. Let g(u) = f*r(u) - 5*o(u). Factor g(a).
-4*(a - 2)*(a - 1)
Let n(u) be the second derivative of 3*u**5/140 - 2*u**4/7 + 17*u**3/14 - 15*u**2/7 + u + 25. Solve n(z) = 0 for z.
1, 2, 5
Let b(u) be the second derivative of -u**6/45 - 29*u**5/40 + 107*u**4/36 - 4*u**3/3 - 164*u + 2. Suppose b(p)