)**3
Let z be 117/162 - 12/(-8). Let j(y) be the first derivative of -10/9*y**4 + 8/9*y + 4 + 14/9*y**3 + z*y**2 - 10/9*y**5. Let j(h) = 0. Calculate h.
-1, -2/5, 1
Let q(p) be the first derivative of -3*p**3/4 - 363*p**2/8 - 30*p - 49. Solve q(c) = 0.
-40, -1/3
Let v(r) = -6*r**2 + 6*r + 12. Let d(h) = -4*h**2 + 4*h + 8. Let s = -14 + 17. Let w = s - -2. Let k(m) = w*v(m) - 7*d(m). Find a, given that k(a) = 0.
-1, 2
Let n(p) be the first derivative of -7*p**5/2 + 425*p**4/4 - 40*p**3 + 451. Suppose n(j) = 0. Calculate j.
0, 2/7, 24
Let j(m) = m**2 - 11*m - 897. Let r be j(36). Find y, given that 0 + 8/3*y**2 + 2*y**r + 2/3*y**5 - 8/3*y - 8/3*y**4 = 0.
-1, 0, 1, 2
Let l = -2 - -6. Let c(i) = -4*i + 4. Let o be (1 - 3)*((-24)/(-16) - -1). Let j(d) = -d**3 - 4*d + 5. Let k(s) = l*j(s) + o*c(s). Factor k(g).
-4*g*(g - 1)*(g + 1)
Let j(f) be the first derivative of f**5 - 15*f**3 - 10*f**2 + 60*f + 282. Find v such that j(v) = 0.
-2, 1, 3
Let 5*g**3 - g**3 - 56 - 75*g**2 - g**3 - 13 + 141*g = 0. What is g?
1, 23
Let i(l) be the second derivative of 1 - 1/36*l**4 - 15*l - 1/3*l**2 + 1/6*l**3. Factor i(d).
-(d - 2)*(d - 1)/3
Let v(l) be the third derivative of 0 - 1/210*l**6 + 0*l**3 - 20*l**2 - 1/210*l**5 + 0*l + 0*l**4 - 1/735*l**7. Solve v(d) = 0 for d.
-1, 0
Let h(y) be the first derivative of -3*y**4/8 - 6*y**3 - 36*y**2 - 96*y - 74. Factor h(q).
-3*(q + 4)**3/2
Solve 9/5*d**3 + 96/5 + 8/5*d**4 - 10*d**2 + 1/5*d**5 - 64/5*d = 0 for d.
-4, -3, 1, 2
What is n in -34*n + 15*n**2 - 2*n - 11*n - 115 - 27*n - 26*n = 0?
-1, 23/3
Let c(w) be the first derivative of -w**3/4 - 39*w**2/8 - 33*w/2 - 206. Determine u, given that c(u) = 0.
-11, -2
Let x(i) = -i + 5*i - i + i**2 + i. Let s be x(-5). Factor 10*c**4 + 2*c**5 + 8*c**4 + 2*c - 39*c**3 - 14*c + 36*c**2 - s*c**5.
-3*c*(c - 2)**2*(c - 1)**2
Let -4*j**4 + 4*j**2 - 4438 + 5*j**5 + 4438 - j**5 - 4*j**3 = 0. Calculate j.
-1, 0, 1
Let t(k) = -k**2 - 5. Let d(l) = 2*l**2 + l + 9. Let i = 51 + -46. Let o(n) = i*t(n) + 3*d(n). Factor o(z).
(z + 1)*(z + 2)
Let d be (-156)/(-3666) + (-258)/(-564). Let r(t) = t**2 - 5*t + 2. Let y be r(5). Suppose -d*x - 1 + 1/2*x**y = 0. What is x?
-1, 2
Let o be 1/(-7)*56/(-12). Let g(f) be the first derivative of 0*f**2 - 1/18*f**3 + 9 + o*f. Factor g(w).
-(w - 2)*(w + 2)/6
Let i(c) = c**3 + 8*c**2 + 11*c - 44. Let f(o) = o + 1. Let x(g) = -6*f(g) + i(g). Factor x(z).
(z - 2)*(z + 5)**2
Let l(q) = -q**3 + 19*q**2 - 19*q + 1. Let b(r) = 20*r**2 - 20*r. Let k(g) = g**3 + 2*g**2 + g - 3. Let m be k(-2). Let w(a) = m*l(a) + 4*b(a). Factor w(d).
5*(d - 1)**3
Let a be 6*2/(-3 - 3). Let m be 0/((-3)/a - (-2)/4). Let -1/5*s + m*s**2 + 1/5*s**3 + 0 = 0. What is s?
-1, 0, 1
Let b(w) be the first derivative of 0*w**2 - 1/5*w**5 + 5/12*w**4 - 1/3*w**3 + 1/30*w**6 + 7*w - 11. Let q(d) be the first derivative of b(d). Factor q(x).
x*(x - 2)*(x - 1)**2
Let c(j) = 6*j**3 - 47*j**2 + 41*j - 10. Let g(z) = -3*z**3 + 24*z**2 - 21*z + 6. Let y(b) = -3*c(b) - 5*g(b). Find k, given that y(k) = 0.
0, 1, 6
Determine a so that -9/2*a**4 - 3/4*a**5 + 0 + 9/2*a**2 - 3*a**3 + 15/4*a = 0.
-5, -1, 0, 1
Let z(f) be the first derivative of 8 + 0*f**2 + 0*f + 5/4*f**4 + 5/3*f**3. Find t, given that z(t) = 0.
-1, 0
Let j(k) = -4*k - 3. Let c be j(-10). Determine s so that -101 + c + 47*s - 15*s - 4*s**2 = 0.
4
Let m be ((-14)/6 - -5)/((-2)/(-3)). Suppose m = 3*l - 5*y - 11, 9 = 4*l - 3*y. Factor 4/7*c + l*c**2 + 2/7*c**4 - 2/7 - 4/7*c**3.
2*(c - 1)**3*(c + 1)/7
Solve 1/2*g - 9/2*g**3 + 11/2*g**4 + 0 + 1/2*g**2 - 2*g**5 = 0 for g.
-1/4, 0, 1
Suppose 0 - 3/5*w**4 - 18/5*w + 12/5*w**3 - 3/5*w**2 = 0. Calculate w.
-1, 0, 2, 3
Find d, given that 10/11 - 4/11*d**4 + 42/11*d**2 - 10/11*d**3 - 38/11*d = 0.
-5, 1/2, 1
Let s(l) = 5*l - 19. Let h be s(5). Let q(d) = -3*d**3 + 18*d**2 + d - 4. Let b be q(h). Let 2/5*x**4 + 0*x**3 - 1/5*x**5 - 2/5*x**b + 1/5*x + 0 = 0. What is x?
-1, 0, 1
Let z(x) be the second derivative of x**7/3780 + x**6/810 - 2*x**5/135 - 16*x**3/3 - 14*x. Let r(q) be the second derivative of z(q). Solve r(l) = 0 for l.
-4, 0, 2
Let d(s) be the first derivative of -5/12*s**3 + 3/2*s + 12 - 7/8*s**2. Suppose d(u) = 0. Calculate u.
-2, 3/5
Let w(g) be the first derivative of 2*g**3/15 - g**2 + 8*g/5 - 394. Factor w(f).
2*(f - 4)*(f - 1)/5
Suppose 6 = -11*j - 16. Let w be 2 - (-9 - 2)*j/12. Factor 5/6*r**4 + 1/2*r**3 - w*r + 1/3*r**5 + 0 - 1/6*r**2.
r*(r + 1)**3*(2*r - 1)/6
Let d be 1/10 + 12/(-120). Let k = 3 - 3. Let d*c**4 + k - 3/2*c + 0*c**2 - 3/2*c**5 + 3*c**3 = 0. What is c?
-1, 0, 1
Let f(r) be the third derivative of r**5/12 - 115*r**4/24 + 35*r**3 + 3*r**2 + 166*r. Factor f(w).
5*(w - 21)*(w - 2)
Let s(w) be the third derivative of -1/36*w**3 + 1/36*w**4 + 0 + 11*w**2 - 1/60*w**5 - 1/1260*w**7 + 1/180*w**6 + 0*w. Factor s(o).
-(o - 1)**4/6
Let n(w) = w**2 - 108*w + 3027. Let z(d) = 6*d**2 - 647*d + 18163. Let x(v) = -39*n(v) + 6*z(v). Determine y so that x(y) = 0.
55
Let l(r) be the third derivative of r**8/112 - 3*r**7/35 - r**6/5 + 3*r**5/10 + 7*r**4/8 - 88*r**2. Factor l(y).
3*y*(y - 7)*(y - 1)*(y + 1)**2
Let b be (10/12 - 1) + (-1397)/(-3810). Factor 1/10*f**4 - 3/10*f**2 + 1/10*f**3 + b - 1/10*f.
(f - 1)**2*(f + 1)*(f + 2)/10
Let h(d) be the second derivative of -3*d**5/20 + 79*d**4/12 + 71*d**3/3 - 28*d**2 - 3*d + 4. Factor h(x).
-(x - 28)*(x + 2)*(3*x - 1)
Let b = -13 - -15. Let p be (-4)/(-3) + b/(6/(-3)). Factor 1/6*j - p*j**2 + 0 + 1/6*j**3.
j*(j - 1)**2/6
Let g(d) be the first derivative of 1/4*d**4 - 8 - 2/3*d**3 + 0*d + 1/2*d**2. Solve g(z) = 0 for z.
0, 1
Let n be 3/(-9) + 4/((-36)/(-219)). Factor 20*a**4 - 22*a - a**5 + 2 - 6*a - 14 + 5*a**5 + n*a**3 - 8*a**2.
4*(a - 1)*(a + 1)**3*(a + 3)
Let p be 33/18 - (-9 - 30/(-3)). Let m(w) be the first derivative of p*w**3 + 0*w - 1/4*w**2 + 3. Factor m(b).
b*(5*b - 1)/2
Let u = -84650/77 + 12096/11. Suppose -3/7 + u*o + 5/7*o**2 = 0. Calculate o.
-1, 3/5
Let g be (5 - (-2)/1) + -4. Suppose 0 = 5*y + 3*f - 22, 0 = -4*y + g*f + 2*f - 12. Factor 5*o**4 + 11*o**4 - y*o**5 - 18*o**3 - 6*o**4 - 4*o + 14*o**2.
-2*o*(o - 2)*(o - 1)**3
Let r(t) = t**5 - 2*t**3 - 2*t**2 + t. Let j(z) = z**2. Suppose -5*y = 30 - 0. Let p = 6 + -9. Let i(c) = p*r(c) + y*j(c). Let i(s) = 0. What is s?
-1, 0, 1
Factor -4/7*b**2 + 184/7*b - 180/7.
-4*(b - 45)*(b - 1)/7
Suppose 7*c - 44 - 131 = 0. Let w = -22 + c. Suppose 0*r**3 - 3*r**4 - r**5 + w*r**2 + 3*r**3 - 2*r**5 = 0. What is r?
-1, 0, 1
Let p(s) be the first derivative of -3*s**4/28 - 2*s**3 - 27*s**2/14 + 972*s/7 + 440. Factor p(h).
-3*(h - 4)*(h + 9)**2/7
Suppose 4*i - 16 = -0*i. Suppose -a = -2*g - 3*g + 12, -5*a + i*g = -3. Suppose 1/4*j**a - 1/4*j**4 + 0 + 0*j**2 + 0*j = 0. Calculate j.
0, 1
Suppose 3*k = 0, 0 = -3*q - 0*q - k + 15. Let s be 45/108 + 2 + q/(-3). Determine p so that -1/2 - 7/4*p - s*p**2 = 0.
-2, -1/3
Let i(d) be the third derivative of d**6/120 + d**5/60 + 6*d**2. Let c(t) = 3*t**3 + 9*t**2 - 8*t + 4. Let a(z) = -3*c(z) + 12*i(z). Factor a(k).
3*(k - 2)**2*(k - 1)
Solve 0 + 0*u - 10/7*u**2 + 2/7*u**3 = 0 for u.
0, 5
Let i = -13/4 + 4. Let t(f) be the first derivative of -i*f**2 + f - 5 - 5/6*f**3. Factor t(j).
-(j + 1)*(5*j - 2)/2
Let s(v) be the first derivative of v**4/4 + v**3/3 - 3*v**2 - 124. Factor s(x).
x*(x - 2)*(x + 3)
Let s = -180/17 - -2734/255. Let g(b) be the first derivative of s*b**5 + 2/9*b**3 + 0*b - 3 + 1/36*b**6 + 1/4*b**4 + 1/12*b**2. Let g(h) = 0. What is h?
-1, 0
Suppose 2*n + t = -2*n + 22588, 0 = -t - 4. Factor -2*y**3 + 8*y**2 - n + 5648.
-2*y**2*(y - 4)
Factor -2*l - 2*l**2 + 28*l + 33 + 4*l - l**2.
-3*(l - 11)*(l + 1)
Suppose 4*r - 6 = -3*v, 3*v + 5*r = 3*r + 6. Let t(p) be the second derivative of 0 - 1/12*p**4 + 1/3*p**3 - 2*p + 3/2*p**v. Let t(z) = 0. Calculate z.
-1, 3
Determine n, given that 79*n**2 - 15*n**4 + 164*n**3 - 298*n**3 + 181*n**3 - 48*n + n**5 - 64 = 0.
-1, 1, 8
Let b = 53988 - 53985. Factor -b*n**2 - 7/3 + 5*n + 1/3*n**3.
(n - 7)*(n - 1)**2/3
Let g(o) be the first derivative of -o**6/48 - o**5/8 - 3*o**4/32 + 13*o**3/24 + o**2/2 - 3*o/2 - 356. Let g(v) = 0. What is v?
-3, -2, 1
Let u be 18/10*(-965)/(-1544). Find w such that -u*w**3 + 3/4*w + 0 + 3/8*w**5 + 3/8*w**4 - 3/8*w**2 = 0.
-2, -1, 0, 1
Let d = -3207 - -16039/5. Factor -d*y**2 - 8