**3 - 4/7*h**5 + 0*h - 12/7*h**4 = 0.
-7, 0, 2
Let f(b) = -3*b + 15. Let p be f(-13). Let s = -24 + p. Factor 5*i**3 + 45*i - 87 + 87 - s*i**2.
5*i*(i - 3)**2
Let x(q) = 8*q**4 + 56*q**3 + 98*q**2 + 10*q. Let r(u) = u**4 - u**3 + 3*u**2 + u. Let v(d) = 10*r(d) - x(d). Factor v(z).
2*z**2*(z - 34)*(z + 1)
Suppose -73*q = 467*q + 138*q - 1356. Find u, given that 0 - 1/4*u**q + 5/4*u = 0.
0, 5
Let q(b) = -13*b**2 - 7*b - 3. Let v = -43 + 40. Let d(i) = 12*i**2 + 6*i + 2. Let k(f) = v*d(f) - 2*q(f). What is s in k(s) = 0?
-2/5, 0
Factor 0*q**3 + 4*q**5 + 8*q**2 - 8*q**4 + 122*q - 4*q**3 - 122*q.
4*q**2*(q - 2)*(q - 1)*(q + 1)
Let g(q) be the second derivative of q**7/2520 - q**6/360 + 5*q**4/4 + 18*q. Let l(y) be the third derivative of g(y). Find d such that l(d) = 0.
0, 2
Suppose 239 = -m - 4*i + 250, m + 5*i = 13. Factor 0 + 1/3*r**4 + 0*r**m + 0*r**2 - 1/3*r**5 + 0*r.
-r**4*(r - 1)/3
Let n be ((-12)/(-14))/(252/1176). Solve -26/3*v**3 - 22/3*v - 4/3 - 38/3*v**2 - 2*v**n = 0.
-2, -1, -1/3
Let w(d) be the third derivative of 7*d**2 + 0*d + 2/105*d**5 + 1/42*d**4 - 4/21*d**3 + 0 - 1/210*d**6. Let w(r) = 0. Calculate r.
-1, 1, 2
Let r = 29/176 - -3/176. Factor -2/11*f**3 + 6/11*f**2 - 6/11*f + r.
-2*(f - 1)**3/11
Suppose -6*n = 152 - 296. Suppose -27*t = -n*t. Let 3/5*c**3 + 0*c - 3/5*c**2 + t = 0. What is c?
0, 1
Let v(y) be the third derivative of y**6/80 - y**5/40 - y**4/4 + y**3 - 8*y**2 + 1. Find q, given that v(q) = 0.
-2, 1, 2
Let u(z) be the second derivative of -5*z**7/42 + 8*z**6 - 192*z**5 + 5120*z**4/3 - 170*z. Factor u(c).
-5*c**2*(c - 16)**3
Let t = 10328 - 10326. Factor 20/3*h - 4 - 4/3*h**t - 4/3*h**3.
-4*(h - 1)**2*(h + 3)/3
Let x(c) be the third derivative of c**8/90720 - c**7/5670 + 7*c**5/20 - 15*c**2. Let t(i) be the third derivative of x(i). Find w such that t(w) = 0.
0, 4
Let y(j) be the third derivative of j**6/15 - j**5/90 - j**4/4 - 2*j**3/9 + 23*j**2 + 2*j. Solve y(o) = 0 for o.
-2/3, -1/4, 1
Let k(n) = 2*n**3 - 20*n**2 - 23*n - 5. Let v(z) = 21*z**2 - 5*z**3 + 24*z + 11*z**3 + 6 - 9*z**3. Let g(m) = -6*k(m) - 5*v(m). Factor g(o).
3*o*(o + 2)*(o + 3)
Suppose -5*g = 30 - 20. Let s be (-21)/(-30) - (1*g)/(-10). Factor -s*z**3 + 1/2*z**2 - 1/4 + 1/4*z - 1/4*z**4 + 1/4*z**5.
(z - 1)**3*(z + 1)**2/4
Let f = 65 + -63. Let w(i) be the first derivative of 0*i**f - i**3 + 3/8*i**4 + 0*i + 2. Determine b so that w(b) = 0.
0, 2
Let m(x) be the second derivative of x**6/105 - 2*x**4/21 + 79*x + 1. Find d, given that m(d) = 0.
-2, 0, 2
Let d(v) be the second derivative of -v**5/160 + 19*v**4/24 - 361*v**3/12 - 164*v. Let d(t) = 0. What is t?
0, 38
Let c(s) be the second derivative of s**5/15 + 4*s**4/9 + 8*s**3/9 - 80*s. Suppose c(o) = 0. Calculate o.
-2, 0
Let f = -25 + 65. Factor 6*r**2 - r**3 + 14 + 20 + r - f.
-(r - 6)*(r - 1)*(r + 1)
Determine i, given that 93/4*i + 0 + 1/4*i**2 = 0.
-93, 0
Suppose 4*x + 3*m - 131 = 0, x - 33 = -2*m + m. Let r be 7*(x/(-14))/(-4). Determine i, given that 5*i - 2*i - 3*i + r*i**4 - 8*i**3 = 0.
0, 2
Let f be (1 + 1)/((-288)/(-8)). Let x(v) be the second derivative of 4/9*v**2 - 1/90*v**5 - f*v**4 + 0*v**3 + 0 + 4*v. Find k such that x(k) = 0.
-2, 1
Let f = -25563/4 + 6392. Find r, given that 20*r**4 + 35/4*r - f - 5*r**3 - 15*r**2 = 0.
-1, 1/4, 1/2
Let z(u) be the third derivative of u**6/160 - u**5/16 + u**4/4 - u**3/2 - u**2 - 5. Factor z(t).
3*(t - 2)**2*(t - 1)/4
Let z(v) be the first derivative of -6 - 4/5*v**2 - 4/3*v**3 + 0*v - 3/5*v**4. Solve z(m) = 0 for m.
-1, -2/3, 0
Let v(h) be the first derivative of -h**3/30 - 16*h**2/5 - 512*h/5 + 13. Determine k so that v(k) = 0.
-32
Let v(m) = -4*m**2 + 20*m - 52. Let j(r) = -2*r**2 + 11*r - 26. Let l(w) = 5*j(w) - 2*v(w). Let o be l(4). Factor -2/5*u**o + 2/5*u + 4/5.
-2*(u - 2)*(u + 1)/5
Let l be -7 + (-4 - -7) - -9. Let y(i) be the first derivative of -8/3*i - 3*i**4 - 7 + 4*i**2 + 14/9*i**3 - 6/5*i**l. Find k, given that y(k) = 0.
-2, -1, 1/3, 2/3
Let c(i) = -2*i**2 + 3*i - 1. Let f(w) = -45*w**2 + 145*w - 170. Let t(l) = 20*c(l) - f(l). Let t(j) = 0. Calculate j.
2, 15
Factor -8909*m**4 + 10*m**2 - 12*m - 15*m**3 + 8907*m**4 + 3*m**2 + 38*m**3.
-m*(m - 12)*(m + 1)*(2*m - 1)
Let z(j) be the first derivative of j**6/2 - 3*j**4/4 - 342. Let z(u) = 0. Calculate u.
-1, 0, 1
Suppose 9 = 9*z - 18. Suppose f + 5*t = 30, -5*f + z*f - 2*t + 20 = 0. Find r such that 3/2*r**4 + 0 + 1/2*r**2 + 0*r - 1/2*r**f - 3/2*r**3 = 0.
0, 1
Let o(m) be the third derivative of 0 + m**2 + 0*m + 1/6*m**3 - 1/48*m**4 - 1/40*m**5. Factor o(f).
-(f + 1)*(3*f - 2)/2
Let m(x) = -4*x**3 - 20*x**2 - 48*x + 8. Let b(c) = -2*c**3 - 6*c**2 - 16*c + 3. Let q(r) = 8*b(r) - 3*m(r). Factor q(n).
-4*n*(n - 4)*(n + 1)
Suppose 17*j = 11*j + 12. Let p(f) be the second derivative of 3/10*f**5 - 1/30*f**6 + 0*f**3 - 8*f + 0 - 3/4*f**4 + 0*f**j. What is o in p(o) = 0?
0, 3
Let v(r) be the first derivative of -9/4*r**3 + 21/8*r**2 + 15/16*r**4 - 13 - 3/2*r - 3/20*r**5. Let v(p) = 0. Calculate p.
1, 2
Let u(v) be the first derivative of v**3/9 - 107*v**2/6 - 36*v + 958. Factor u(q).
(q - 108)*(q + 1)/3
Find d such that 23/3*d + 1/3*d**3 - 3*d**2 - 5 = 0.
1, 3, 5
Find z such that -53*z + 27/2*z**2 + 2*z**4 + 51/2*z**3 + 12 = 0.
-12, -2, 1/4, 1
Suppose 0 = 2*l - 4*b - 26, -2*b - 10 = 5*l + 3*b. Find d, given that -2 - 5*d + 3*d + 2*d**4 + 18*d**l - 2*d - 14*d**3 = 0.
-1, 1
Let x be 144/285 + 78/(-741). Let a(s) be the first derivative of -x*s**2 - 2/15*s**3 - 4 - 2/5*s. Factor a(n).
-2*(n + 1)**2/5
Let z(q) be the second derivative of -q**8/2240 - q**7/140 - q**4/6 + 11*q**3/3 + 3*q + 5. Let a(h) be the third derivative of z(h). Find t such that a(t) = 0.
-6, 0
Let n(x) be the third derivative of 0*x**3 + 0 + 1/300*x**6 - 19*x**2 + 2/75*x**5 + 0*x - 1/15*x**4 - 1/525*x**7. Factor n(s).
-2*s*(s - 2)*(s - 1)*(s + 2)/5
Determine c, given that 0*c**4 + 60 - 14*c - 2*c**4 + 0*c**4 - 2*c**4 + 32*c**3 - 18*c - 56*c**2 = 0.
-1, 1, 3, 5
Solve -6 + o + 1/3*o**2 = 0.
-6, 3
Let l = 1158 - 1150. Let b(k) be the first derivative of -l + 0*k**2 - 1/3*k**3 + 1/4*k**4 + 0*k. Suppose b(x) = 0. What is x?
0, 1
Suppose 0*o + 3*o + 14 = p, 2*p = 3*o + 16. Let t = p + 1. Suppose 6*h + h**4 - 8*h**3 + 2*h + 2*h**t + h**4 = 0. Calculate h.
-1, 0, 2
Let p be 36/(-21) - 2/7. Let g = 0 - p. Suppose b**2 - 2*b**3 - b**g - b**3 = 0. What is b?
0
Let w be 4 + 44/(-16 - -5). Let o(d) be the first derivative of 0*d**4 + 0*d**2 + w*d**5 + 0*d + 0*d**3 + 5 + 1/2*d**6. Factor o(n).
3*n**5
Suppose 1/8*m**3 - 1/4*m**2 - 1/8*m**5 + 0 + 1/4*m**4 + 0*m = 0. Calculate m.
-1, 0, 1, 2
Let m(o) be the second derivative of -5/27*o**3 + 0 + 2/9*o**2 - 15*o - 7/54*o**4. Suppose m(k) = 0. Calculate k.
-1, 2/7
Let c(g) = -5*g + 1. Let f be c(0). Let v(s) be the first derivative of -1/20*s**5 - 1/24*s**6 + 0*s**2 - f + 0*s**3 + 0*s**4 + 0*s. Let v(j) = 0. What is j?
-1, 0
Suppose 126 + 182 - 70 = 119*j. Factor 3/8*z**j - 3/8*z - 9/2.
3*(z - 4)*(z + 3)/8
Factor 2/9*f**2 - 436/9 + 434/9*f.
2*(f - 1)*(f + 218)/9
Let z = -1846 - -9232/5. Factor 11/5*m**2 - 12/5*m - z*m**3 - 9/5.
-(m - 3)**2*(2*m + 1)/5
What is i in -1/7*i**4 + 5/7*i**2 + 0*i - 4/7 + 0*i**3 = 0?
-2, -1, 1, 2
Suppose -3*g - 3*i = -48, i = 5*g - 8 - 102. Let j be (11 - 14)*(-4)/g. Factor 0 - 4/7*l**2 + 0*l + j*l**3.
4*l**2*(l - 1)/7
Let b(p) be the first derivative of 4 + 0*p**4 + 0*p - 1/30*p**5 + 0*p**3 + 5/2*p**2. Let z(v) be the second derivative of b(v). Factor z(o).
-2*o**2
Let m(b) be the first derivative of b**5/90 + 7*b**4/18 - 5*b**3/3 + 11*b**2/2 + 3*b + 49. Let i(g) be the second derivative of m(g). Factor i(c).
2*(c - 1)*(c + 15)/3
Let p(n) be the first derivative of 0*n - 15 - 3/4*n**2 + 1/2*n**3. Factor p(c).
3*c*(c - 1)/2
Let f(q) be the first derivative of 3*q**4/8 - 31*q**3/2 - 24*q**2 + 8. Factor f(b).
3*b*(b - 32)*(b + 1)/2
Suppose 2*q**2 + 3*q**3 - 14*q**2 - 11*q**4 + 15*q**4 - 8 + q**3 - 20*q = 0. Calculate q.
-1, 2
Let r(j) be the second derivative of 0 - 1/21*j**6 + 8/7*j**2 - 5/7*j**4 + 10*j + 4/21*j**3 + 23/70*j**5. Let r(c) = 0. What is c?
-2/5, 1, 2
Let d be (-1)/(-8) + (5420/2208 - 2). Let c = d + 2/23. Factor -4/3*s + c + 2/3*s**2.
2*(s - 1)**2/3
Find p such that 0*p**4 + 4/13*p**2 + 0*p + 0 + 2/13*p**5 - 6/13*p**3 = 0.
-2, 0, 1
Factor -318*x - 16 -