5*h = 0. Calculate h.
-2, 0, 1
Let j(k) be the third derivative of -2*k**7/105 + k**6/15 + 4*k**5/15 - 4*k**4/3 - 5*k**2 - 3. Determine f, given that j(f) = 0.
-2, 0, 2
Let v = -2/239 + 496/2151. Factor -2/9*z + 2/9*z**4 + 0 - 2/9*z**2 + v*z**3.
2*z*(z - 1)*(z + 1)**2/9
Factor 12 - 9*g - 10/3*g**2 + 1/3*g**3.
(g - 12)*(g - 1)*(g + 3)/3
Let o(w) be the first derivative of 1/12*w**4 + 6*w - 1 - 1/2*w**3 + w**2. Let c(b) be the first derivative of o(b). Factor c(u).
(u - 2)*(u - 1)
Let t(a) = a**3 + 5*a**2 + 2. Let r be t(-5). Suppose -3*j + 2*j + 3*j - r*j**2 - 8*j + 8 = 0. Calculate j.
-4, 1
Let g(k) be the first derivative of -1/3*k**3 - k - k**2 + 10. Suppose g(b) = 0. Calculate b.
-1
Determine i so that 108*i - 30*i**2 - 32/3*i**3 + 0 - 2/3*i**4 = 0.
-9, 0, 2
Let l(g) be the third derivative of -1/120*g**4 - 1/1800*g**6 - 4*g**2 + 0 - 1/2*g**3 + 0*g - 1/300*g**5. Let h(q) be the first derivative of l(q). Factor h(a).
-(a + 1)**2/5
Let r(m) be the second derivative of m**7/1365 - m**6/780 - m**5/390 + m**4/156 + 7*m**2 - 8*m. Let z(b) be the first derivative of r(b). Factor z(a).
2*a*(a - 1)**2*(a + 1)/13
What is y in y - 5/4*y**3 - 7/2*y**2 + 6 = 0?
-2, 6/5
Solve -2*a**3 - 1189*a + 1189*a + 3*a**4 - a**5 = 0.
0, 1, 2
Let q = 8977/58097 + -3/4469. Let 0*v**2 + 0*v + 0 + q*v**3 = 0. Calculate v.
0
Find f such that 10/11*f**3 - 90/11*f - 36/11 + 4/11*f**2 = 0.
-3, -2/5, 3
Let n(h) be the second derivative of h**4/42 + h**3/3 + 6*h**2/7 + 72*h. Let n(x) = 0. Calculate x.
-6, -1
Let s(l) be the first derivative of -3*l**6/40 + l**5/10 + l**4/8 - 7*l**2 - 8. Let x(v) be the second derivative of s(v). Determine o, given that x(o) = 0.
-1/3, 0, 1
Let m(l) be the second derivative of 4*l**4/33 + l**3/11 + l - 13. Factor m(o).
2*o*(8*o + 3)/11
Let b(j) be the third derivative of -4*j**2 + 1/24*j**4 + 0*j + 0 - 1/60*j**5 + 1/3*j**3. Factor b(g).
-(g - 2)*(g + 1)
Let t be ((-6)/8)/((-3)/12). Factor 45*p + p**4 + 3*p**2 - 4*p**4 + 3*p**t - 48*p.
-3*p*(p - 1)**2*(p + 1)
Let h(d) be the first derivative of 192*d + 12*d**3 + 3/4*d**4 - 7 + 72*d**2. Factor h(w).
3*(w + 4)**3
Let c(d) be the second derivative of 0*d**3 + 1/20*d**5 - 1/8*d**4 - 5*d + 0 + 2*d**2. Let v(g) be the first derivative of c(g). Solve v(a) = 0 for a.
0, 1
Let h be (15/42)/(-5)*(-4)/2. Let b = -56 + 56. Factor 1/7*p**4 + b + 3/7*p**2 + 3/7*p**3 + h*p.
p*(p + 1)**3/7
Let q(x) = 5*x**2 - 9*x + 4. Let z(l) = 11*l**2 - 18*l + 7. Let w(t) = 3*t - t + t + 2*t**2 - 2 - 2. Let d be w(-3). Let g(v) = d*q(v) - 2*z(v). Factor g(u).
3*(u - 2)*(u - 1)
Factor -1/7*u**3 - 6/7 - 11/7*u - 6/7*u**2.
-(u + 1)*(u + 2)*(u + 3)/7
Let n be (0 + -1)/(1/(-4)). What is r in -14*r + 4 + 4*r**2 + 13*r**2 + r**2 + 2*r**n - 10*r**3 = 0?
1, 2
Find m, given that 53*m - 118*m - 5*m**2 - 104*m - 113*m - 88*m = 0.
-74, 0
Let b(q) be the second derivative of -3*q**2 + 0 - 2/75*q**5 - 9*q - 1/10*q**4 + 1/150*q**6 + 0*q**3. Let y(s) be the first derivative of b(s). Factor y(d).
4*d*(d - 3)*(d + 1)/5
Let t(o) = -5*o**3 - 3*o**2 + 18*o + 35. Let b(p) = -6*p**3 - 4*p**2 + 16*p + 36. Let x(l) = -3*b(l) + 4*t(l). Determine a, given that x(a) = 0.
-2, 4
Let b(h) be the third derivative of -h**7/1260 + h**6/180 + h**5/360 - h**4/36 + 68*h**2. Factor b(u).
-u*(u - 4)*(u - 1)*(u + 1)/6
Let f = 34 + -679/20. Let i(w) be the first derivative of -1/4*w**2 - f*w**5 + 0*w**3 + 1/4*w - 4 + 1/8*w**4. Factor i(n).
-(n - 1)**3*(n + 1)/4
Let q(a) be the third derivative of -a**5/15 - a**4/6 + 56*a**2. Factor q(i).
-4*i*(i + 1)
Let d be 5 + 706/(-144) - (-2)/16. Factor 0*u**3 + 4/9*u**4 - d*u**5 + 0*u + 0*u**2 + 0.
-2*u**4*(u - 2)/9
Let d(p) be the second derivative of -27*p**4/10 - 84*p**3/5 - 196*p**2/5 - 115*p. Factor d(v).
-2*(9*v + 14)**2/5
Let s(x) be the third derivative of -x**6/720 - x**5/72 - x**4/18 - x**3/9 + 22*x**2. Factor s(k).
-(k + 1)*(k + 2)**2/6
Let i be (3 + 9/14)*(-35)/(-90). Let l(x) be the third derivative of i*x**4 - 2*x**3 + 8*x**2 + 0*x + 0 - 1/6*x**5. Factor l(v).
-2*(v - 3)*(5*v - 2)
Let w = -2031 + 2024. Let i(j) = -2*j**2 + 17*j - 53. Let g(h) = -26*h + 4*h**2 - 7*h + 76 + 31. Let v(o) = w*i(o) - 3*g(o). What is q in v(q) = 0?
5
Suppose -5*q + 62 + 23 = 0. Let -190*c**3 + 30*c**2 + 8*c - 16*c - q*c + 185*c**3 = 0. Calculate c.
0, 1, 5
Let t = 1521/10 - 152. Let s(c) be the second derivative of 4/105*c**6 + 0 + 0*c**2 - 1/21*c**4 + 0*c**3 + t*c**5 + 3*c. Solve s(h) = 0 for h.
-2, 0, 1/4
Let x(g) be the first derivative of 0*g - 5 + 8*g**2 + 17*g**4 - 4*g**5 - 64/3*g**3. Determine z, given that x(z) = 0.
0, 2/5, 1, 2
Let u(a) = a**3 + 7*a - 4. Suppose -5*r = -10 - 10. Let o(w) = -r*w + w - w**3 + 2*w + 1. Let m(n) = -4*o(n) - u(n). Factor m(d).
3*d*(d - 1)*(d + 1)
Let y = 34 + -31. Factor -5*a**2 + 181*a**3 - 73*a**3 + 0*a - 73*a**y - 15*a + 25*a**4.
5*a*(a + 1)**2*(5*a - 3)
Let k = -651/5 + 4577/35. Find g, given that k*g**2 + 0 + 4*g = 0.
-7, 0
Let d(n) be the second derivative of 5*n**4/4 + 40*n**3/3 - 30*n**2 - 73*n. Factor d(z).
5*(z + 6)*(3*z - 2)
Let p(m) be the first derivative of m**4/4 - 5*m**3 + 63*m**2/2 - 81*m + 286. Suppose p(c) = 0. Calculate c.
3, 9
Let k(r) be the third derivative of r**8/84 + 4*r**7/21 + 4*r**6/5 - 2*r**5/3 - 25*r**4/6 + 309*r**2. Let k(p) = 0. Calculate p.
-5, -1, 0, 1
Let b(i) be the first derivative of 1/21*i**3 + 2/7*i - 3/14*i**2 - 33. Factor b(p).
(p - 2)*(p - 1)/7
Let v = 1039 + -1037. Find f, given that 207/4*f**4 - 29/2*f**3 + 0 - v*f - 15*f**2 - 81/4*f**5 = 0.
-2/9, 0, 1, 2
Let 8/3*n**2 + 4*n**3 + 0 - 16/3*n - 2/3*n**4 - 2/3*n**5 = 0. What is n?
-2, 0, 1, 2
Suppose 0 = 130*g - 12*g - 157 - 197. Factor 9/7*x**2 - 6/7*x + 0 - 3/7*x**g.
-3*x*(x - 2)*(x - 1)/7
Suppose g + 5*c - 5 = 0, -g - c = -3*g - 1. Suppose 0 - 2/13*j**4 + g*j**2 + 0*j + 0*j**3 = 0. What is j?
0
Let w(i) be the first derivative of 11 + 48/5*i + 36/5*i**2 + 9/5*i**3 + 3/20*i**4. Factor w(q).
3*(q + 1)*(q + 4)**2/5
What is f in -34*f**2 + 60*f**2 + 54*f**2 + 5*f**4 + 85*f**3 = 0?
-16, -1, 0
Let d(a) be the third derivative of -a**5/12 + 35*a**4/24 + 20*a**3/3 - 32*a**2. Let d(w) = 0. Calculate w.
-1, 8
Let r be -7 - -9 - 1*76/40. Solve -2/5*m + 0 + r*m**4 + 0*m**2 + 3/10*m**3 = 0.
-2, 0, 1
Let o(i) be the second derivative of i**5/45 + 13*i**4/27 + 64*i**3/27 + 40*i**2/9 + 66*i + 2. Let o(s) = 0. What is s?
-10, -2, -1
Let k(a) be the second derivative of 9*a - 1/78*a**4 - 1/195*a**6 + 0*a**2 + 1/65*a**5 + 0 + 0*a**3. Factor k(g).
-2*g**2*(g - 1)**2/13
Let k(v) be the third derivative of -v**7/630 + v**6/90 + v**4/6 - 2*v**2. Let i(c) be the second derivative of k(c). Factor i(h).
-4*h*(h - 2)
Let r = -170 + 174. Let z(y) be the second derivative of 1/10*y**5 - y - 1/6*y**r + 0 + 0*y**2 + 0*y**3 + 1/7*y**7 + 1/3*y**6. Factor z(b).
2*b**2*(b + 1)**2*(3*b - 1)
Let f be (2 - 9/6)*8/(-10). Let s = f - -3/5. Suppose -4/5*k**2 + 0 + s*k**3 + 4/5*k = 0. What is k?
0, 2
Let x(j) be the first derivative of -j**5/55 + j**4/44 + 2*j**3/33 - 10. Let x(g) = 0. Calculate g.
-1, 0, 2
Let t(q) be the second derivative of 7*q**6/1980 - 4*q**5/165 + q**4/33 - 11*q**3/3 - 31*q. Let v(d) be the second derivative of t(d). Solve v(z) = 0.
2/7, 2
Determine s so that 0*s + 8/13*s**4 + 0 - 6/13*s**3 - 36/13*s**2 + 2/13*s**5 = 0.
-3, 0, 2
Let p(x) be the second derivative of x**7/126 - 17*x**6/45 + 253*x**5/60 + 17*x**4 + 18*x**3 - 454*x. Let p(k) = 0. Calculate k.
-1, 0, 18
Factor 21*b**2 - 441*b + 3087 - 1/3*b**3.
-(b - 21)**3/3
Determine x, given that 130/9*x**3 + 18392/9*x + 21296/9 - 308*x**2 - 2/9*x**4 = 0.
-1, 22
Let c(d) be the second derivative of 2*d**7/105 + d**6/5 + 43*d**5/50 + 29*d**4/15 + 12*d**3/5 + 8*d**2/5 - 97*d + 2. Solve c(u) = 0 for u.
-2, -1, -1/2
Suppose 4*d - h = 19, -31*h = -33*h + 2. Factor -4/5*b**2 - 2/5*b**d + 4/5*b**3 + 2/5*b**4 + 2/5 - 2/5*b.
-2*(b - 1)**3*(b + 1)**2/5
Suppose 7 + 3 = 5*h. Suppose -2 = -h*u + 2. Let 0*q**2 - 2*q**4 + 0*q**2 - 3*q**u + 5*q**2 = 0. Calculate q.
-1, 0, 1
Let u(x) be the first derivative of -x**4/12 - 7*x**3/9 - 18. Factor u(l).
-l**2*(l + 7)/3
Let t be 30 + 1476/108 + (-1)/3. Let u = 2/701 + 11210/2103. Find y, given that t*y**4 + 25/3*y**5 + 32/3 - 112/3*y + 184/3*y**3 - u*y**2 = 0.
-2, 2/5
Let b(j) = -j**3 + 46*j**2 - 273*j. Let q be b(7). Let q + 1/7*c**2 - 2/7*c