15*x**5. Factor p(t).
-(t - 2)**2*(t - 1)**3/3
Let v(n) be the second derivative of 7*n**6/18 - 55*n**5/6 + 425*n**4/12 - 250*n**3/9 - 130*n**2/3 - 331*n. Suppose v(t) = 0. Calculate t.
-2/7, 1, 2, 13
Let s(x) = x**3 + 6*x**2 - 6*x - 1. Let u = 35 - 41. Let l(r) = r**3 + 7*r**2 - 7*r - 1. Let d(b) = u*s(b) + 5*l(b). Factor d(c).
-(c - 1)*(c + 1)**2
Let u(t) = -5*t**4 - 35*t**3 + 195*t**2 - 155*t. Let c(b) = -3*b**4 - 18*b**3 + 97*b**2 - 76*b. Let l(a) = -5*c(a) + 2*u(a). Factor l(f).
5*f*(f - 2)*(f - 1)*(f + 7)
Let v be 4 - (-6)/4*8120/(-48). Let x = -249 - v. Factor -9/4*j - 9/4*j**2 - 3/4*j**3 - x.
-3*(j + 1)**3/4
Let m(t) be the third derivative of t**5/20 + t**4/8 + 50*t**2 - 2. Factor m(y).
3*y*(y + 1)
Suppose 39*k = 188*k - 298. Find m such that -3/2*m**3 + 0 + 15/2*m**k - 9/2*m - 3/2*m**4 = 0.
-3, 0, 1
Suppose r = -4*q - r + 10, 0 = -4*q - 5*r + 13. Let k = 17 + -13. Determine s so that -k*s**2 + 2*s - 2*s**2 + 8*s**q = 0.
-1, 0
Suppose h = -1 - 0, m + 5*h = -3. Solve -t**m - 2*t**3 + 3*t - t + 4*t**2 - 2*t**4 - t**2 = 0.
-1, 0, 1
Let o be 580/50 - 4/(-10). Suppose -3*t + 0 = -o. Find j such that 6*j**3 + 3*j**4 + 64 - 67 + 0*j**t - 6*j = 0.
-1, 1
Let i(v) be the second derivative of 0*v**3 + 1/42*v**4 + 0*v**2 + 1/105*v**6 + 1/35*v**5 + 11*v + 0. Factor i(u).
2*u**2*(u + 1)**2/7
Suppose 3 + 29 - 22 + 125*r - 135*r**2 = 0. What is r?
-2/27, 1
What is d in -d + d + 2592 + 20*d**2 + 40*d**3 - 25*d**4 - 2592 = 0?
-2/5, 0, 2
Let i = -1/600 + 1207/4200. Let m(k) be the first derivative of 2/21*k**3 + 0*k - i*k**2 - 7. Determine t, given that m(t) = 0.
0, 2
Factor 5*i + 5*i**5 - 13*i**3 - 4*i**4 + 20*i**2 + 24*i**4 + 43*i**3.
5*i*(i + 1)**4
Let k(n) = n**3 + n**2 + n. Suppose -z = -5*i, 4*z = 2*i + 6*z - 12. Let p(q) = -5*q**3 - 6*q**2 - 5*q. Let g(w) = i*p(w) + 4*k(w). Find j, given that g(j) = 0.
-1, 0
Let g(c) be the first derivative of c**4/12 - 10*c**3/9 + 9*c**2/2 - 6*c + 85. Factor g(d).
(d - 6)*(d - 3)*(d - 1)/3
Let p(x) be the first derivative of x**6/3 - 7*x**4/2 + 4*x**3/3 + 12*x**2 - 16*x - 60. Solve p(c) = 0.
-2, 1, 2
Let t(y) = y**2 + 11*y - 17. Let f(p) = -6*p + 9. Suppose l + 2*u + u = 28, -104 = -4*l - 4*u. Suppose 3*n + 2*n = -l. Let a(b) = n*f(b) - 3*t(b). Factor a(d).
-3*(d - 1)*(d + 2)
Let d(m) be the first derivative of 105*m**3/2 + m**2/2 + 11. Factor d(w).
w*(315*w + 2)/2
Suppose 0 = 45*z - 46*z + 6. Suppose 3*a + 4*u = 5*a - z, 0 = 3*u. What is f in 0*f**2 + 0 - 2/5*f**4 + 2/5*f**5 + 0*f + 0*f**a = 0?
0, 1
Suppose y + 120 = 2*i + 112, 24 = -3*y. Factor i + 3/8*d**2 + 3/8*d**3 - 9/4*d.
3*d*(d - 2)*(d + 3)/8
Let n = 1/8 + 5/24. Let d(w) be the first derivative of -6*w**4 + 0*w + 1 - n*w**2 + 8/3*w**3. Factor d(j).
-2*j*(6*j - 1)**2/3
Let j(y) be the third derivative of y**5/180 + y**4/12 - 184*y**2. Factor j(p).
p*(p + 6)/3
Let f(u) be the third derivative of u**6/300 + u**5/150 - 13*u**4/30 + 8*u**3/5 - 2*u**2 + 6*u. Find k such that f(k) = 0.
-6, 1, 4
Let p be (1/2)/((-5)/(-30)). Let q be (-29)/(-7) + (-12)/4. Factor 0 - 4/7*o**p + q*o - 4/7*o**2.
-4*o*(o - 1)*(o + 2)/7
Suppose 387*z - 388*z + 7 = k, -5*z + 23 = k. Factor g**4 - 5/4*g**k + 0 + 0*g - 1/4*g**5 + 1/2*g**2.
-g**2*(g - 2)*(g - 1)**2/4
Determine l so that -4*l**2 - 988*l - 1001*l + 1955*l - 33 + 3*l**2 = 0.
-33, -1
Let t(u) be the first derivative of u**3/3 + 3*u**2/2 - 4*u + 68. Suppose t(k) = 0. What is k?
-4, 1
Factor 19*w**2 - 30*w + 13*w**2 + 8*w**3 - 5*w**3 + 8*w**2 - 13*w**2.
3*w*(w - 1)*(w + 10)
Let a(c) be the second derivative of c**4/4 + 2*c**3 - 2*c - 6. Let a(o) = 0. Calculate o.
-4, 0
Let d(o) = -o**2 + 6*o + 187. Let f be d(17). Let p(v) be the first derivative of -3/5*v**5 + f*v**3 + 3/4*v**4 + 5 + 0*v + 0*v**2. Factor p(a).
-3*a**3*(a - 1)
Let a(n) = 20*n**2 - 68*n + 184. Let c(b) = -7*b**2 + 23*b - 64. Let p(k) = 6*a(k) + 17*c(k). Determine m, given that p(m) = 0.
1, 16
Let t(z) be the first derivative of -7 - 1/18*z**4 + 0*z + 0*z**2 + 0*z**3. Factor t(r).
-2*r**3/9
Let a(t) = 199*t + 1393. Let m be a(-7). Let 0*c + 4/7*c**5 + 20/7*c**4 + m + 16/7*c**2 + 32/7*c**3 = 0. What is c?
-2, -1, 0
Let s = 336 + -332. Let h(a) be the second derivative of -1/28*a**s - 4*a - 2/7*a**2 + 0 + 4/21*a**3. Find g, given that h(g) = 0.
2/3, 2
Let a(l) be the first derivative of 0*l**4 + 0*l - 1 + 0*l**2 + 1/6*l**3 - 1/10*l**5. Let a(w) = 0. Calculate w.
-1, 0, 1
Let -517*f**3 - 212*f**2 + 253*f**3 + 116*f**3 + 16*f**5 - 108*f - 16 - 12*f**4 = 0. What is f?
-1, -1/4, 4
Let v(k) = 2*k - 10. Let f be v(7). Suppose l - 3*r + 6*r = -7, -5*l - f*r - 2 = 0. Find o, given that -4*o**2 + 2*o**l - 61*o**3 + 2*o**4 + o**5 + 60*o**3 = 0.
-2, -1, 0, 1
Factor 0 - 2*h**2 + 1/5*h**5 + 17/5*h**3 + 0*h - 8/5*h**4.
h**2*(h - 5)*(h - 2)*(h - 1)/5
Let o(y) = 28*y**2 + 165*y + 1764. Let x(p) = 260*p**2 + 1484*p + 15876. Let b(l) = -28*o(l) + 3*x(l). Let b(h) = 0. Calculate h.
-21
Let l(s) be the first derivative of 2/7*s + 2/21*s**3 + 11 - 2/7*s**2. What is g in l(g) = 0?
1
Let d(q) = 1400*q - 8395. Let s be d(6). Solve 0*i + 2/3*i**4 - 2/3*i**3 - 2/9*i**s + 0 + 2/9*i**2 = 0 for i.
0, 1
Let v = -1466 + 1468. Let p(t) be the third derivative of -1/27*t**6 + 7*t**v - 1/15*t**5 + 0*t - 8/945*t**7 - 7/108*t**4 + 0 - 1/27*t**3. Factor p(i).
-2*(i + 1)*(2*i + 1)**3/9
Suppose 5 = 21*i + 131. Let p be -10*(i/9 - (-1)/(-3)). Determine s, given that -p*s**3 + 0 + 0*s - 10*s**2 - 5/2*s**4 = 0.
-2, 0
Let h(b) = 4*b**3 + 66*b**2 + 326*b + 6. Let a(t) = -4*t**3 - 65*t**2 - 327*t - 7. Let m(q) = -6*a(q) - 7*h(q). Factor m(w).
-4*w*(w + 8)*(w + 10)
Let m(g) be the first derivative of 13 - 49/2*g**2 - 14/3*g**3 - 1/4*g**4 + 0*g. Determine s so that m(s) = 0.
-7, 0
Let q(h) = -5*h**3 + 4*h**2 + 7*h - 2. Let j(r) = -2 - r**2 - 6*r**3 + 6*r**2 + 22*r - 14*r - r**2. Let t(v) = -2*j(v) + 3*q(v). Find s such that t(s) = 0.
-1, 1/3, 2
Let j be ((-176)/(-40))/(2/10). Suppose -3*r + 25 = 5*v, 5*r - j = -v + r. Determine m, given that 2*m**2 - 37*m**3 - 4*m**4 + 2*m**v + 37*m**3 = 0.
-1, 0, 1
Let s(y) be the second derivative of -y**5/100 + y**4/15 - y**3/6 + y**2/5 - 17*y + 5. Factor s(h).
-(h - 2)*(h - 1)**2/5
Let w(m) = -2*m**2 - 19*m. Let b be w(-17). Let v be (68/b)/((-2)/20). Solve 2/3*t**5 - v + 10/3*t**4 - 2/3*t**2 - 16/3*t + 14/3*t**3 = 0 for t.
-2, -1, 1
Let m(h) be the third derivative of h**5/110 + 21*h**4/44 + 68*h**3/11 - 7*h**2 + 33*h. Factor m(x).
6*(x + 4)*(x + 17)/11
Let s = 385 + -379. Let d(j) be the first derivative of 1/7*j**s + 0*j - 1/7*j**2 + 8/35*j**5 - 14 - 1/7*j**4 - 8/21*j**3. Let d(i) = 0. Calculate i.
-1, -1/3, 0, 1
Let 12/7 + 3*y**4 + 3/7*y**5 + 75/7*y**2 + 57/7*y**3 + 48/7*y = 0. What is y?
-2, -1
Let j(w) be the second derivative of -1/120*w**5 + 14*w - 1/36*w**4 + 0*w**2 + 0 + 0*w**3. Factor j(t).
-t**2*(t + 2)/6
Suppose -5*c - 2*k = -15, -3*c - k = -6*c + 9. Factor -8 + 12*x + 8*x**2 - 8*x**3 + 0*x**3 - 4*x**c.
-4*(x - 1)*(x + 1)*(3*x - 2)
Suppose 4*i = f + 7 - 22, -5*f + 21 = -2*i. Suppose 4 = 4*b - 3*j - j, 3*b + f*j = 9. Solve 5*s**b + 6 + 13 - 19 - 5*s = 0 for s.
0, 1
Let j be (5 - (-2 + 3)) + (-10 - -8). Let c(l) be the second derivative of 0 - 3/4*l**4 + 6*l**3 - 2*l - 6*l**j - 3/4*l**5. Find r such that c(r) = 0.
-2, 2/5, 1
Let a be 2/(-14) - 1/7*-1. Factor a*r + r**2 + 4*r - 3*r.
r*(r + 1)
Let h(l) be the third derivative of -l**5/40 - 9*l**4/16 + 5*l**3/2 - 107*l**2. Solve h(k) = 0.
-10, 1
Let i(u) be the third derivative of 0*u - 1/180*u**6 + 6*u**2 + 0*u**5 + 1/36*u**4 + 0 + 0*u**3. Factor i(a).
-2*a*(a - 1)*(a + 1)/3
Let 15*h**3 + 204*h**5 - 207*h**5 + 0*h**2 - 12*h + 9*h**2 - 3*h**4 - 6*h**4 = 0. What is h?
-4, -1, 0, 1
Let j(n) be the second derivative of -n**4/36 + n**3/2 + 5*n**2/3 + 195*n + 2. Factor j(z).
-(z - 10)*(z + 1)/3
Let g be (-1 - (-12)/(-5 + 1))*-1. Suppose 18 = 4*u - g*p + 2*p, -p = -4*u + 17. Factor u*l**3 + 8/3 + 8*l + 26/3*l**2 + 2/3*l**4.
2*(l + 1)**2*(l + 2)**2/3
Solve 38253 - 10*o**2 + 10*o**4 - 5*o**5 - 38253 + 5*o**3 = 0.
-1, 0, 1, 2
Let q(r) = 6*r**5 - 13*r**4 + 3*r**3 - r**2 + 5*r + 5. Let h(m) = -9*m**5 + 19*m**4 - 4*m**3 + m**2 - 7*m - 7. Let o(u) = -5*h(u) - 7*q(u). Factor o(c).
c**2*(c - 1)**2*(3*c + 2)
Let q(x) = x**2 + 3*x + 4. Let s be q(-4). Suppose 0 = 3*y + y - s. What is r in 11*r + 2*r**2 + 2 + 6*r**3 + 11*r**y - 