3*x**3 + 3*x**2 - 12*x + 3. Let b(k) = 7*k**4 - 2*k**3 - 3*k**2 + 14*k - 4. Let p(f) = 3*b(f) + 4*w(f). Determine g, given that p(g) = 0.
-1, 0, 1, 2
Let k(r) be the third derivative of -5/12*r**4 + 0 + 10*r**2 - 1/24*r**6 + 0*r**3 + 0*r - 1/4*r**5. Suppose k(v) = 0. What is v?
-2, -1, 0
Let p = -9440 - -47204/5. Determine a so that -4/5*a**2 + p*a**3 + 0 + 0*a = 0.
0, 1
Let d(v) = -2*v**2 - 93*v + 576. Let y(j) = -12*j**2 - 464*j + 2880. Let h(o) = 16*d(o) - 3*y(o). Solve h(c) = 0.
12
Let r(i) be the second derivative of i**5/50 + 16*i**4/5 + 768*i**3/5 + 24*i. Determine b, given that r(b) = 0.
-48, 0
Suppose 5*w - 12 = 2*s, -5*w + 6*w = 5*s + 7. Factor 15/8*k**w - 9/8*k - 3/4*k**3 + 0.
-3*k*(k - 1)*(2*k - 3)/8
Let l be (2/2 + 2)*28. Let n be (-8)/4 - l/(-35). Find d such that -n*d**2 - 6/5*d - 4/5 = 0.
-2, -1
Let x be (-64)/630 - (-5)/(-135)*-3. Let p(s) be the second derivative of 0*s**5 + 0 - 1/7*s**2 + 3*s + 0*s**3 + 1/21*s**4 - x*s**6. Factor p(y).
-2*(y - 1)**2*(y + 1)**2/7
Let d be (-2)/(-16) - (-598)/4784. Factor t + d - t**3 - 3/2*t**2 + 5/4*t**4.
(t - 1)**2*(t + 1)*(5*t + 1)/4
Let g(o) = -3*o**2 - o - 1. Let s(k) = 8*k**2 - 56*k + 68. Let h(v) = -4*g(v) - s(v). What is n in h(n) = 0?
-16, 1
Let y = -3595 - -21571/6. Factor y*d**2 + 3/2 - 5/3*d.
(d - 9)*(d - 1)/6
Let u(r) be the second derivative of 0 + 14*r + 0*r**5 + 3/8*r**2 + 0*r**3 - 1/8*r**4 + 1/40*r**6. Factor u(x).
3*(x - 1)**2*(x + 1)**2/4
Let b(t) be the second derivative of t**4/18 - 5*t**3/18 + t**2/2 - 31*t. Suppose b(r) = 0. Calculate r.
1, 3/2
Let i(o) be the second derivative of o**3/6 - o**2 + 5*o. Let a be i(4). Find j, given that 14*j + 2*j + 12 + 4*j**2 - 4 + 2*j**a = 0.
-2, -2/3
Suppose 5*w - 2*s - 145 = -5*s, w - 3*s = 47. Let o be (w/(-42)*3)/(1/(-2)). What is q in -2*q**2 + o*q - 8/7 = 0?
2/7, 2
Let q(g) be the third derivative of -g**5/90 + 7*g**4/18 - 16*g**3/3 + 32*g**2. Determine b so that q(b) = 0.
6, 8
Let g(b) = b**3 + 7*b**2 - 9*b - 5. Let v be g(-6). Let u = 88 - v. Determine r, given that 1/3 + 1/2*r + 0*r**2 - 1/6*r**u = 0.
-1, 2
Factor -14/3*z**2 + 16/3 - 2/3*z.
-2*(z - 1)*(7*z + 8)/3
Let i(o) be the first derivative of -o**6/18 + o**5/15 + o**4/6 - 2*o**3/9 - o**2/6 + o/3 - 8. Factor i(z).
-(z - 1)**3*(z + 1)**2/3
Let k = 8 - 6. Suppose -2*h = -4*c + 20, 0*h = k*c + 4*h + 10. Factor -34*t**4 + 4*t**c + 34*t**4 - 4*t**5.
-4*t**3*(t - 1)*(t + 1)
Let b = -2265163/799 + 2835. Let s = 19979/1598 - b. Suppose 25/4*f - 25/2*f**2 - 25/4*f**4 + s*f**3 - 5/4 + 5/4*f**5 = 0. What is f?
1
Let b(r) = -30*r**4 + 8*r**3 - 18*r**2 - 10*r - 40. Let u(w) = 2*w**4 + w**3 + w**2 + w + 4. Let k(t) = b(t) + 10*u(t). Factor k(v).
-2*v**2*(v - 1)*(5*v - 4)
Let v = -1022 - -1024. Factor -2*l**v - l + 0 + 5/4*l**3.
l*(l - 2)*(5*l + 2)/4
Let l(i) = -i**2 + 4*i - 5. Let q(s) = -4 + 1 + 2. Let k(t) = -l(t) + q(t). Determine y so that k(y) = 0.
2
Let x(r) be the first derivative of 3*r**2 + 1/6*r**4 - 4/3*r**3 - 10 - 11*r. Let a(i) be the first derivative of x(i). Factor a(k).
2*(k - 3)*(k - 1)
Let z(m) = -3*m + 64. Let b be z(20). Suppose 3*j = -b*j - 7*j. What is l in 2/7*l**4 + 0 - 2/7*l**2 + 0*l + j*l**3 = 0?
-1, 0, 1
Let k(u) be the second derivative of 0 - 7/30*u**4 + 2/5*u**2 + 1/3*u**3 + 10*u. Determine t, given that k(t) = 0.
-2/7, 1
Let n = 6 - 1. Find f such that -159*f**n - 6*f**3 - 6*f**3 + 175*f**5 - 4*f**2 = 0.
-1/2, 0, 1
Factor 28 - 150*h**3 + 60*h + 36*h**2 + 84*h**3 + 70*h**3.
4*(h + 1)**2*(h + 7)
Suppose -2*w - 6 = 6*d, -4*w = -2*d - 0*d + 12. Suppose -2/13*i**2 - 4/13*i + d + 2/13*i**3 = 0. Calculate i.
-1, 0, 2
Suppose 0 + 72*k - 244*k**4 - 36*k**5 - 117*k**3 - 178*k**2 - 367*k**3 + 0 - 26*k**2 = 0. What is k?
-3, -1, 0, 2/9
Let a(f) be the first derivative of -f**6/2 - 24*f**5/5 - 51*f**4/4 + 14*f**3 + 126*f**2 + 216*f + 60. Let a(u) = 0. Calculate u.
-3, -2, 2
Let q be (20/(-8))/((-3)/6*1). Determine z so that 16 - 2 - 40*z - q*z**3 + 11 + 25*z**2 - 5 = 0.
1, 2
Let j(f) = 4*f + 26. Let b be j(-6). Factor -2*o**3 + 8*o**3 - 84*o**b - 18*o + 81*o**2.
3*o*(o - 2)*(2*o + 3)
Let m = -24053 - -72161/3. Let i be 1*(2 - 10/9). Solve -i*h + m + 2/9*h**2 = 0.
1, 3
Let z(i) = i. Let b(m) = -4*m + 2. Let s(l) = -b(l) - 5*z(l). Let r be s(-6). Let -11*p**4 - 2*p - 2*p**3 + 13*p**4 + r*p - 2*p**2 = 0. What is p?
-1, 0, 1
Let t(s) = 56*s**2 + 376*s - 112. Let m(i) = -84*i**2 - 564*i + 168. Let q(n) = -8*n + 51. Let c be q(7). Let k(x) = c*m(x) - 8*t(x). Factor k(z).
-4*(z + 7)*(7*z - 2)
Let u(h) be the first derivative of 2*h**5/35 - 25*h**4/14 - 485. Factor u(b).
2*b**3*(b - 25)/7
Let o(w) = 5*w**4 - 8*w**3 - 44*w**2 + 8*w. Let b(k) = -135*k**4 + 215*k**3 + 1190*k**2 - 220*k. Let a(r) = -2*b(r) - 55*o(r). Suppose a(v) = 0. What is v?
-2, 0, 4
Let g(t) = -t**2 + 8*t**2 - 64*t - 44 - 11*t**2 + 2*t**2. Let d be g(-31). Factor -d*h - 4 + 25/2*h**3 - 15*h**2.
(h - 2)*(5*h + 2)**2/2
Factor 448*b - 5*b**2 - 20089 - 15034 + 3*b**2 + 10035.
-2*(b - 112)**2
Let o(q) be the second derivative of -q**4/9 - 106*q**3/9 + 36*q**2 + 853*q. Determine j so that o(j) = 0.
-54, 1
What is y in -7*y**2 + 12*y**2 - 7*y**2 - 220500 - 2100*y - 2*y**2 - y**2 = 0?
-210
Factor -55*q + 19*q**2 + 5*q**2 - 19*q**2 + 150.
5*(q - 6)*(q - 5)
Solve -5*y**4 - 123*y + 65*y + 5*y**2 - 7*y**3 + y**5 + 9 + 64*y - 9 = 0 for y.
-1, 0, 1, 6
What is s in 0 - 8/5*s - 2/5*s**2 = 0?
-4, 0
Factor 0*b**4 - 2/21*b + 0 + 0*b**2 - 2/21*b**5 + 4/21*b**3.
-2*b*(b - 1)**2*(b + 1)**2/21
Suppose 1 + 11/3*g - 1/3*g**4 + 2*g**3 + 14/3*g**2 - 1/3*g**5 = 0. What is g?
-1, 3
Suppose n + 48 = 3*n. Suppose -7*b - b = -n. Factor b*y**4 - 2*y**5 + y**5 - 2*y**3 + 3*y - 3*y.
-y**3*(y - 2)*(y - 1)
Let h(b) be the second derivative of -2*b**7/105 + 16*b**6/75 - b**5/5 - 14*b**4/15 + 150*b. Determine j so that h(j) = 0.
-1, 0, 2, 7
Find p such that 0 - 3/2*p**2 + 141/2*p = 0.
0, 47
Let y(p) be the first derivative of p**3 + p**2 - 4*p - 18. Let g(z) = 2*z**2 + 2*z - 3. Let a(s) = -4*g(s) + 3*y(s). Let a(m) = 0. What is m?
0, 2
Let u(q) be the third derivative of -q**6/420 + q**5/210 + q**4/42 + 32*q**2 - q. Determine w so that u(w) = 0.
-1, 0, 2
Factor 16*n**2 - 32 + 918*n - 48 - 1234*n.
4*(n - 20)*(4*n + 1)
Let n be (-48)/(-112) - ((-6)/(-36) + (-230)/84). Determine c, given that -10/7*c**2 + 0 + 2/7*c**n + 0*c = 0.
0, 5
Let b(h) be the first derivative of -2*h**5/25 + h**4/2 + 16*h**3/15 - 12*h**2/5 + 3. Factor b(d).
-2*d*(d - 6)*(d - 1)*(d + 2)/5
Solve 0*y**4 + 247 + 164*y**2 + 15*y**5 - 190*y**3 - 5*y**4 - 407 + 40*y + 136*y**2 = 0.
-4, -2/3, 1, 2
Factor -1/3*y - 1/3*y**2 + 0.
-y*(y + 1)/3
Let w be 24/(-30)*10/2. Let q be (-1)/3 + w/6. Let o(u) = -2*u**3 + 3*u**2 - 4*u - 5. Let t(l) = l + 1. Let s(n) = q*o(n) - 4*t(n). Solve s(d) = 0.
-1/2, 1
Let n(d) be the third derivative of 0*d**3 + 10/189*d**7 + 0 - d + 23*d**2 - 1/9*d**6 - 4/15*d**5 - 4/27*d**4. Solve n(w) = 0.
-2/5, 0, 2
Suppose -13*g = -10*g - 12. Factor 4 + 2*w**2 - 4 - 10*w**3 + 6*w**g + 5*w - 3*w.
2*w*(w - 1)**2*(3*w + 1)
Suppose 60*z - 38 = 41*z. Let p(i) be the second derivative of -i + 0*i**3 - 4/7*i**z + 0 + 1/14*i**4 + 1/70*i**5. Factor p(c).
2*(c - 1)*(c + 2)**2/7
Let v be 0*(5 - 6) - (-7)/1. Factor 2*x**3 - 2*x**2 - v*x**3 - 10*x**3 + 7*x**2.
-5*x**2*(3*x - 1)
Let x(j) be the second derivative of -1/9*j**3 + 0 + 0*j**5 + 10*j + 2/45*j**6 + 1/63*j**7 + 0*j**2 - 1/9*j**4. Factor x(w).
2*w*(w - 1)*(w + 1)**3/3
Let f(h) = 2*h**2 + 4*h + 2. Let s be f(-2). Let x = 3 + -1. Factor k**3 - 25 + 25 - x*k**s + k.
k*(k - 1)**2
Let v(o) be the second derivative of 2*o**7/147 - 8*o**6/35 + 37*o. Factor v(r).
4*r**4*(r - 12)/7
Factor 2/5*n**2 + 44/5*n + 242/5.
2*(n + 11)**2/5
Let z = 25/228 - 1/38. Let m(d) be the second derivative of z*d**4 + 1/2*d**3 + d**2 + 0 - d. Factor m(i).
(i + 1)*(i + 2)
Suppose -2*o = -5*f - 7, 0*o + o - 3 = 3*f. Factor -3*p**5 + 0*p**4 + 3*p**3 + 3*p**4 + 0*p**4 + 3*p**2 - o*p**2.
-3*p**2*(p - 1)**2*(p + 1)
Let z = 1817/3642 - -2/1821. Factor 0 - b + z*b**2.
b*(b - 2)/2
Let t(w) = w**5 - w**4 - 2*w**3 - w**2 + w + 1. Let a(h) = h**5 - 56*h**4 - 152*h**3 - 36*h**2 + 231*h + 6. Let g(x) = a(x) - 6*t(x). Solve g(u) = 0 for u.
-5, -3, 0, 1
Factor -1/5*m**2 + 0 + 2*m.
-m*(m - 10)/5
Let k(z) be the first derivative of -z**3/30 - 27*z**2/20 - 13*z/5 + 559