k(p) = -p**5 - 6*p**4 + 7*p**3 - 5*p**2 - 5*p. Let z(q) = -3*k(q) - 15*s(q). What is i in z(i) = 0?
-2, 0, 1
What is p in -16/5*p + 4/5*p**2 + 16/5 = 0?
2
Suppose -g + 4*g + 27 = 0. Let p(o) = o**3 + 8*o**2 - 9*o + 3. Let f be p(g). Find u, given that -u**f - 3*u**4 - 6*u**2 - 2*u - 5*u**3 + u**4 = 0.
-1, 0
Let d = -17 - -29. What is k in k**2 - 54*k**3 - d + 36*k + 18*k**3 - 4*k**2 + 15*k**4 = 0?
-1, 2/5, 1, 2
Let r(u) = u**2 - 9*u + 24. Let z(t) = t - 1. Let y(n) = 2*r(n) - 2*z(n). Factor y(a).
2*(a - 5)**2
Let w be (-6)/(-4) - (-1)/2. Factor -3*k**3 - 2*k + 2*k**2 - 8*k**w - k.
-3*k*(k + 1)**2
Let o(u) be the third derivative of u**6/30 - u**5/15 - u**4/6 + 2*u**3/3 - 6*u**2. Factor o(a).
4*(a - 1)**2*(a + 1)
Let z be 4/(-6)*(-3)/2. Factor -5 + 10*w**2 - 5*w - w + z.
2*(w - 1)*(5*w + 2)
Find v such that -18/5*v + 18/5*v**3 + 4*v**4 - 16/5*v**2 - 4/5 = 0.
-1, -1/2, -2/5, 1
Suppose -2*i = 3*o - 4*i - 22, 4*i + 28 = 2*o. Let 5*a + 2*a**5 + 13*a + 4*a**3 - 6*a**o - 18*a = 0. What is a?
0, 1, 2
Factor 0 + 17*o - 10 - 5*o**2 + 0*o**2 + 4.
-(o - 3)*(5*o - 2)
Let r(j) = j**4 - j**2 + j - 1. Let f(z) = -15*z**4 + 17*z**3 - 13*z**2 + 2*z + 9. Let o(n) = -2*f(n) - 22*r(n). Factor o(a).
2*(a - 2)*(a - 1)**2*(4*a - 1)
Let r(k) = -k**2 + 5*k + 6. Let p be r(6). Let o(h) be the third derivative of 0*h + 0*h**4 + 0*h**3 - 3*h**2 + 1/720*h**6 - 1/180*h**5 + p. Factor o(c).
c**2*(c - 2)/6
Let b(w) = -8*w**4 + w**3 + 39*w**2 - 16*w - 16. Let t(m) = -m**3 + m**2. Let h(f) = -b(f) + 3*t(f). Solve h(s) = 0.
-2, -1/2, 1, 2
Let h(o) be the second derivative of 0*o**4 - 1/25*o**6 + 0*o**2 + 0 - o - 1/70*o**7 + 0*o**3 - 3/100*o**5. Suppose h(x) = 0. Calculate x.
-1, 0
Let u(r) be the first derivative of 3*r**5/5 + r**4/2 - r**3 - r**2 - 20. Let u(t) = 0. Calculate t.
-1, -2/3, 0, 1
Let x = 69697/5 - 14003. Let l = x + 64. Factor 4/5*y + l*y**2 + 2/5.
2*(y + 1)**2/5
Let v = 11 + -8. Suppose -a = v*a. What is j in -6*j**3 + a - 2*j**4 + 0 - 2*j - 6*j**2 = 0?
-1, 0
Factor 56/13*x - 2/13*x**2 - 392/13.
-2*(x - 14)**2/13
Factor -3 + 24*m**3 - 36*m**2 - 45/2*m.
3*(m - 2)*(4*m + 1)**2/2
Factor -1/3*y**4 + 1/3*y**5 + 0 - y**3 + 1/3*y**2 + 2/3*y.
y*(y - 2)*(y - 1)*(y + 1)**2/3
Let q(c) be the third derivative of c**7/1960 - 3*c**5/280 - c**4/28 - 5*c**3/6 - 2*c**2. Let x(r) be the first derivative of q(r). Factor x(h).
3*(h - 2)*(h + 1)**2/7
Let c(j) = 15*j**4 - 17*j**3 + 31*j**2 - 8*j - 7. Let b(d) = 7*d**4 - 9*d**3 + 15*d**2 - 4*d - 3. Let h(p) = -7*b(p) + 3*c(p). Determine x, given that h(x) = 0.
0, 1
Let q(y) = y**2. Let w(d) = 41*d**2 - 33*d + 6. Let k(f) = 5*q(f) - w(f). Factor k(r).
-3*(3*r - 2)*(4*r - 1)
Suppose -2*t + 0*t + 10 = 0. Factor -f**3 + f**5 - f**3 + 3*f**4 - 2*f**t.
-f**3*(f - 2)*(f - 1)
Let y(z) be the second derivative of -z**7/70 + 3*z**5/20 - z**4/4 + z**2/2 - 2*z. Let b(f) be the first derivative of y(f). Factor b(o).
-3*o*(o - 1)**2*(o + 2)
Let c(t) = 2*t - 16. Let k be c(8). Let i(h) be the second derivative of -3*h + 1/40*h**5 + k + 1/4*h**2 - 1/24*h**4 - 1/12*h**3. Solve i(z) = 0 for z.
-1, 1
Factor -8*t**4 - 7*t + 7*t**2 - 2*t + t**2 + 4*t**5 + 5*t.
4*t*(t - 1)**3*(t + 1)
Let b be 1/((60/(-8))/(-5)). Solve 0 + b*f + 1/3*f**2 = 0 for f.
-2, 0
Factor -4/3 + 4/3*b**3 + 4*b - 4*b**2.
4*(b - 1)**3/3
Let g(c) be the first derivative of -c**3/3 - 2*c**2 - 9. Suppose g(a) = 0. What is a?
-4, 0
Let c(b) be the third derivative of -b**8/112 + 3*b**7/140 + b**6/10 + 3*b**5/40 - 9*b**2. Find a such that c(a) = 0.
-1, -1/2, 0, 3
Let u = 8 - 31/4. Let q(b) be the second derivative of -1/40*b**6 + 0*b**2 + 3/16*b**4 - 2*b + 0*b**5 + 0 + u*b**3. Suppose q(d) = 0. Calculate d.
-1, 0, 2
Let w(x) be the third derivative of 2*x**7/105 + 61*x**6/120 + 89*x**5/20 + 259*x**4/24 + 49*x**3/6 + 41*x**2. Determine j so that w(j) = 0.
-7, -1, -1/4
Let g(y) be the first derivative of y**5/30 + y**4/24 - y**3/18 - y**2/12 - 12. Factor g(n).
n*(n - 1)*(n + 1)**2/6
Solve 4*t**3 - t**2 + 1/2 + 1/2*t**4 - 2*t - 2*t**5 = 0.
-1, 1/4, 1
Let j(x) = x**3 + 43*x**2 + 121*x + 43. Let f be j(-40). What is s in 0 + 0*s + 0*s**2 - 2/11*s**f - 4/11*s**4 = 0?
-1/2, 0
Let c be 1346/6 + (-9)/3. Let n = c + -219. Factor q**2 + n*q + 2/3.
(q + 2)*(3*q + 1)/3
Let g(m) be the first derivative of -2*m**5/35 + 2*m**3/21 + 5. Factor g(s).
-2*s**2*(s - 1)*(s + 1)/7
Suppose 0 = 5*g + 4*c + 26, 8 = c - 3*c. Let q be g/3 + 2/1. Factor q*k + 2/3 + 2/3*k**2.
2*(k + 1)**2/3
Let c = 74 - 72. Find m such that -1/4*m**c + 0*m**3 + 1/4*m**4 + 0*m + 0 = 0.
-1, 0, 1
Let a(y) = y**3 + 3*y**2 - y - 3. Let d be a(-3). Let j be d/(-2 + 2 + -3). Factor 1/4*w**3 + 1/4*w**2 + j + 0*w.
w**2*(w + 1)/4
Let h(r) be the second derivative of -r**6/720 - r**5/144 + r**4/72 + 2*r**3/3 + 4*r. Let n(j) be the second derivative of h(j). Factor n(b).
-(b + 2)*(3*b - 1)/6
Let w(b) be the first derivative of -b**6/2 + 3*b**5 - 27*b**4/4 + 7*b**3 - 3*b**2 - 9. Solve w(g) = 0.
0, 1, 2
Let u(o) be the second derivative of -5*o**7/14 + 29*o**6/30 + 7*o**5/10 - 5*o**4/3 - 4*o**3/3 - 7*o. Suppose u(a) = 0. What is a?
-2/3, -2/5, 0, 1, 2
Determine b so that -1/6*b**2 + 1/6 + 0*b = 0.
-1, 1
Let z(f) = 7*f**2 + 2*f - 1. Let h(v) = -6*v**2 - 3*v. Let q(g) = -4*h(g) - 3*z(g). Determine x, given that q(x) = 0.
-1
Let d(z) be the third derivative of z**6/60 - z**5/10 - 3*z**4/4 - 5*z**3/3 - 7*z**2. Factor d(u).
2*(u - 5)*(u + 1)**2
Factor -44/3*u + 10*u**2 + 8 + 1/3*u**4 - 3*u**3.
(u - 3)*(u - 2)**3/3
Suppose 2/9*v**2 + 32/9*v + 128/9 = 0. What is v?
-8
Let w(c) be the second derivative of -2/9*c**3 - 1/2*c**2 + 0 - 1/36*c**4 - 3*c + 1/90*c**5. Let v(a) be the first derivative of w(a). Factor v(g).
2*(g - 2)*(g + 1)/3
Let d(t) be the second derivative of 2*t**6/15 - 7*t**5/5 + 6*t**4 - 40*t**3/3 + 16*t**2 - 5*t. Suppose d(p) = 0. Calculate p.
1, 2
Let x(d) be the first derivative of -2*d**6/21 + 2*d**4/7 - 2*d**2/7 - 43. Determine n so that x(n) = 0.
-1, 0, 1
Let l(n) be the first derivative of n**6/360 + n**5/36 + n**4/9 + 2*n**3/9 + n**2 - 2. Let d(c) be the second derivative of l(c). Factor d(j).
(j + 1)*(j + 2)**2/3
Let t(h) = -5*h + 13. Let x(b) = b - 1. Let p(v) = t(v) + 4*x(v). Let d be p(9). Determine g so that 0 + 2/3*g**2 - 2/3*g**3 + d*g = 0.
0, 1
Let a(z) be the second derivative of z**6/20 - 9*z**5/20 + 13*z**4/8 - 3*z**3 + 3*z**2 - z + 1. Factor a(b).
3*(b - 2)**2*(b - 1)**2/2
Let x(q) = q**3 + 4*q**2 - 4*q + 7. Let y be x(-5). Let n be (-50)/15 - (-2 - y). Factor 0 + 4/3*t - n*t**4 - 4/3*t**3 + 2/3*t**2.
-2*t*(t - 1)*(t + 1)*(t + 2)/3
Suppose 0 = -2*h + 3 - 1. Determine q, given that h + 0 + 2*q**3 - q**4 + q - 3*q = 0.
-1, 1
Let n(v) be the first derivative of -6/5*v**5 + 1/3*v**6 + 0*v - 2/3*v**3 + 3/2*v**4 + 0*v**2 - 4. Factor n(k).
2*k**2*(k - 1)**3
Let s(b) be the second derivative of b**6/195 + b**5/65 - 2*b**3/39 - b**2/13 - 7*b. Suppose s(h) = 0. Calculate h.
-1, 1
Suppose -5*r = 5*v + 5, 4 + 2 = -2*r. Factor 0*j + j**v + j - j**4 - j.
-j**2*(j - 1)*(j + 1)
Suppose -4*d - d = 3*n - 23, -d - 11 = -2*n. Let i(t) = -t**2 - 2*t. Let h(x) = 4*x**2 + 6*x. Let k(j) = n*h(j) + 21*i(j). Determine l, given that k(l) = 0.
0, 2
Let k be (-8 - -1)*15/3. Let w be (1/1)/(k/(-10)). Find z, given that 32/7*z**2 + w - 16/7*z = 0.
1/4
Let q = -7 + 9. Let y(j) be the first derivative of 2*j - 1 - 3*j**2 - 1/2*j**4 + q*j**3. Factor y(n).
-2*(n - 1)**3
Let n(w) = -w**3 - 4*w**2 - 4*w - 3. Let l be 1/(((-14)/8)/7). Let u be n(l). Find m such that -m**4 - u*m + 13*m - m**3 = 0.
-1, 0
Let d(u) = -125*u**3 - 925*u**2 - 3485*u. Let r(z) = -9*z**3 - 66*z**2 - 249*z. Let c(o) = -4*d(o) + 55*r(o). Find g, given that c(g) = 0.
-7, 0
Let h = -1557/7 + 223. Let c(l) be the first derivative of 2/7*l**3 - 5/7*l**2 + 3 + h*l. Factor c(m).
2*(m - 1)*(3*m - 2)/7
Let a(b) be the second derivative of 0 + 0*b**6 + 0*b**3 + 0*b**5 - 1/63*b**7 + b + 0*b**4 + 0*b**2. Determine q so that a(q) = 0.
0
Let r(s) = -s**2 - 5*s - 2. Let u be r(-3). Solve 2*o**2 + 3 + u*o**3 + 14*o**2 - 3 + 3 + 13*o = 0.
-3, -1/2
Suppose -2*n**3 + 2*n**2 + 6*n - 2*n**4 - 3*n - n = 0. Calculate n.
-1, 0, 1
Let r be (-21)/(1176/(-208)) - 4/(-14). What is u in 4*u**2 + 4/7 + 92/7*u**3 - 32/7*u**4 - r*u - 64/7*u**5 = 0?
-1, 1/4, 1
Let u = -206 - -206. Let g = 2/47 + 80/329. Factor u*n - g*