 12 = -4*k. Let i(z) = z + 2. Let g be i(k). What is p in 2/5 - 4/5*p**2 + g*p**3 + 0*p + 2/5*p**4 = 0?
-1, 1
Let i(b) be the first derivative of b**5/90 + 5*b**4/72 + b**3/9 - 2*b**2 + 1. Let y(r) be the second derivative of i(r). Factor y(u).
(u + 2)*(2*u + 1)/3
Let o(j) be the second derivative of -1/2*j**3 + 0 - 1/2*j**2 - 3*j + 1/3*j**4. Find s, given that o(s) = 0.
-1/4, 1
Let c = 3 - 0. What is s in 5*s**2 + c*s**3 + s**2 - 7*s + 4*s + 6*s = 0?
-1, 0
Let d(l) be the first derivative of 5*l**6/6 - 28*l**5/5 + 33*l**4/4 + 6*l**3 - 14. Find h such that d(h) = 0.
-2/5, 0, 3
Let k(i) be the first derivative of -i**6/3 + 26*i**5/25 + 3*i**4/5 - 8*i**3/3 - 8*i**2/5 - 5. Determine n, given that k(n) = 0.
-1, -2/5, 0, 2
Factor -45*j**4 + 48*j**4 - 2*j**3 + 5*j**3.
3*j**3*(j + 1)
Find w such that 12*w**3 - w**4 - 21*w**2 - 20*w + 25 + 8*w**3 + 6*w**4 - 9*w**2 = 0.
-5, -1, 1
Let h(w) be the third derivative of w**7/1155 - w**6/220 + w**5/165 - 2*w**2. Solve h(y) = 0 for y.
0, 1, 2
Suppose a = -0*a - 4*x + 9, 0 = 2*x - 2. Determine t, given that a*t**3 - 2*t**4 - 13*t**3 + 15*t**2 - 23*t**2 = 0.
-2, 0
Suppose -4 = -r, -5*r + 14 + 15 = 3*i. Factor k**2 + 0*k**i + 2*k**2 - k**2 + k**3 + k.
k*(k + 1)**2
Let c be (3 - (-24)/(-9)) + (-9)/(-135). Factor 0*s + c*s**2 - 1/5*s**3 - 1/5*s**4 + 0.
-s**2*(s - 1)*(s + 2)/5
Let l(a) be the second derivative of -a**7/630 + a**6/1080 + a**5/90 + a**4/6 + 3*a. Let f(i) be the third derivative of l(i). Factor f(v).
-2*(2*v + 1)*(3*v - 2)/3
Let s(d) be the first derivative of -6*d + 9/2*d**2 + 8*d**3 - 2 + 9/4*d**4. Suppose s(j) = 0. What is j?
-2, -1, 1/3
Let b = 15 - 5. Suppose 2 = -2*y + b. Factor -3*z**3 + 5*z**3 - z**4 - z**y.
-2*z**3*(z - 1)
Factor -15/4*y + 75/8 + 3/8*y**2.
3*(y - 5)**2/8
Factor 0 + 5/8*n**4 + 0*n - 1/4*n**2 + 3/8*n**3.
n**2*(n + 1)*(5*n - 2)/8
Let i(u) = u**2 - 15*u + 14. Let d be i(14). Let s be d/(1/1) + 2. Find k, given that 1/2*k**s + 0 - 1/2*k = 0.
0, 1
Let o = 170 - 168. Solve -1/5 + 1/5*r**3 - 3/5*r**o + 3/5*r = 0.
1
Let w(n) be the second derivative of -1/5*n**3 - 1/5*n**2 + 0 + 2*n - 1/50*n**5 - 1/10*n**4. Solve w(h) = 0.
-1
Suppose d - 30 = -4*d. Let r(a) be the first derivative of 0*a**3 + 0*a + 1/9*a**d + 0*a**4 + 0*a**2 - 2 - 2/15*a**5. Factor r(y).
2*y**4*(y - 1)/3
Let w(b) = -b + 156 - 160 + 0*b. Let h be w(-6). Solve 2/3 - 2/3*i**h + 1/3*i**5 + i - 4/3*i**3 + 0*i**4 = 0.
-1, 1, 2
Let a(g) be the first derivative of g**3/3 - 6*g**2 + 36*g - 20. Factor a(f).
(f - 6)**2
Factor 0 - 4/7*a**5 + 4/7*a**4 + 0*a + 4/7*a**3 - 4/7*a**2.
-4*a**2*(a - 1)**2*(a + 1)/7
Let z(d) = d**3 + d + 1. Let c(r) = 11*r**4 + 37*r**3 + 39*r**2 + 19*r + 4. Let i(q) = 3*c(q) - 6*z(q). Determine g so that i(g) = 0.
-1, -2/11
Suppose -5*x**4 - 10*x**2 + 10*x**3 - 11 + 10 + 4*x + x + x**5 = 0. What is x?
1
Let t(k) = -2*k - 13. Let a be t(-8). Factor 2/7*n**5 + 2/7*n**a + 4/7*n**4 + 0*n**2 + 0*n + 0.
2*n**3*(n + 1)**2/7
Let k(p) be the second derivative of -5*p**7/14 - 5*p**6/6 + p**5/4 + 25*p**4/12 + 5*p**3/3 + 13*p. Suppose k(q) = 0. Calculate q.
-1, -2/3, 0, 1
Factor -8*b**4 - b**3 + 0*b**4 + 5*b**4 - 2*b**3.
-3*b**3*(b + 1)
Let j = -2/43 + 49/129. Let c(w) be the first derivative of w**2 - j*w**6 - 4/3*w**3 - 1 + 0*w + 4/5*w**5 + 0*w**4. Factor c(o).
-2*o*(o - 1)**3*(o + 1)
Let u(p) be the first derivative of -p**4/12 + 5*p**3/9 + p**2 - 14. Factor u(n).
-n*(n - 6)*(n + 1)/3
Let i(b) = 10 - 3*b**2 + 3*b**2 + b**2 - 9*b. Let d be i(8). Factor 5*g + g**d - 3*g - 3*g**2.
-2*g*(g - 1)
Let a(n) = -3*n**2 + 1. Let u(c) = -2*c**2 + 0*c**2 + 3 - 2*c**2 - 2. Let i be ((-3)/2)/((-2)/(-4)). Let m(t) = i*a(t) + 2*u(t). Solve m(j) = 0.
-1, 1
Suppose 3*k = 5*k - 8. Let z be (-5 - 5)*k/(-10). Suppose -16/3 - 76*r**2 + 98*r**z + 70/3*r**3 - 40*r = 0. What is r?
-2/3, -2/7, 1
Let u(b) be the first derivative of 1/12*b**4 - b + 1/6*b**3 + 1 + 0*b**2. Let w(x) be the first derivative of u(x). Solve w(g) = 0.
-1, 0
Let i(l) be the second derivative of -l**7/189 + l**6/135 + l**5/90 - l**4/54 + 6*l. Find g, given that i(g) = 0.
-1, 0, 1
Let c(g) be the first derivative of g**6/120 + g**5/80 - g**4/48 - g**3/24 + 3*g + 4. Let o(m) be the first derivative of c(m). Determine h so that o(h) = 0.
-1, 0, 1
Let f(u) = -u**4 + u**3 + u**2 + u. Let y(g) = -4*g**4 + 8*g**3 + 5*g**2 + g. Let s(x) = -5*f(x) + y(x). Factor s(j).
j*(j - 1)*(j + 2)**2
Let l = 23 + -23. Let y(b) be the second derivative of -1/120*b**6 + 0 + b + l*b**3 + 0*b**4 + 0*b**2 - 1/80*b**5. Find z, given that y(z) = 0.
-1, 0
Let p(m) be the first derivative of -2*m**3/21 - 2*m**2/7 - 2*m/7 + 12. Factor p(a).
-2*(a + 1)**2/7
Suppose -1/3*t**5 - 25/3*t**3 - 28/3*t - 8/3 - 8/3*t**4 - 38/3*t**2 = 0. What is t?
-2, -1
Factor 4/3*l**3 + 2/3*l**4 - 4/3*l - 2/3*l**2 + 0.
2*l*(l - 1)*(l + 1)*(l + 2)/3
Suppose -3*i + 7*i = -240. Let q be (12/i)/((-2)/4). Factor 2/5*k**4 - 4/5*k + 0*k**2 + 4/5*k**3 - q.
2*(k - 1)*(k + 1)**3/5
Let d(p) = -5*p**3 - 12 + 6*p - 10*p**2 + 6*p - 5*p**3. Let c(h) = 0*h + 4*h**3 + 5 + h - 3*h**2 + 7*h**2 - 6*h. Let x(z) = 12*c(z) + 5*d(z). Factor x(m).
-2*m**2*(m + 1)
Let l be 5 + -14 - (-10 - 2). What is q in 1/3*q**l - q + 0*q**2 + 2/3 = 0?
-2, 1
Let j(f) be the second derivative of -f**5/10 - f**4/3 - f**3/3 + 5*f. Solve j(h) = 0.
-1, 0
Let x(c) be the third derivative of c**7/525 - c**6/150 - c**5/30 + c**4/10 - 40*c**2. Factor x(g).
2*g*(g - 3)*(g - 1)*(g + 2)/5
Let r(z) be the third derivative of -2/5*z**5 - z**2 + 0 + 0*z - 16/3*z**3 - 2*z**4 - 1/30*z**6. Factor r(c).
-4*(c + 2)**3
Factor -11*k**4 - 4*k**4 + 34*k**4 - 14*k**4.
5*k**4
Let w(f) be the second derivative of f**9/83160 - f**7/6930 + f**5/660 - f**4/3 - 6*f. Let r(k) be the third derivative of w(k). Factor r(g).
2*(g - 1)**2*(g + 1)**2/11
Let p(u) be the first derivative of -1/12*u**3 - 1/2*u + 3 - 3/8*u**2. Let p(i) = 0. What is i?
-2, -1
Let s be (-2 + (-2 - -7))*2. Let j(p) be the third derivative of -1/210*p**7 + 0 - 1/12*p**4 + 0*p + 1/60*p**s + p**2 + 1/60*p**5 + 0*p**3. Factor j(r).
-r*(r - 2)*(r - 1)*(r + 1)
Suppose 3*g + 5*j = 34, 5*g + j - 20 = -0*j. Factor 0 + 2/9*x**2 + 2/9*x - 2/9*x**g - 2/9*x**4.
-2*x*(x - 1)*(x + 1)**2/9
Let l be (-5 - -1)*(0 - 4). Let y = -13 + l. Determine z so that -5/3*z**y - z**4 - 1/3*z**2 + 1/3*z + 0 = 0.
-1, 0, 1/3
Suppose -5*p + 48 = 8. Let i = 64/7 - p. Let i*m**2 - 4/7*m**4 - 2*m**5 + 4*m**3 - 4/7 - 2*m = 0. Calculate m.
-1, -2/7, 1
Let t = -6 + 0. Let o(n) = n**2 + 6*n + 2. Let a be o(t). What is q in -3*q**2 + 12*q**2 + q**a - 4*q = 0?
0, 2/5
Let r be 2/(24/9)*(0 - -2). Let m(a) be the first derivative of -2/3*a - r*a**2 + 1 - 7/9*a**3. What is z in m(z) = 0?
-1, -2/7
Let a(t) be the first derivative of t**6/600 + t**5/150 + t**4/120 + t**3 + 1. Let i(g) be the third derivative of a(g). Factor i(l).
(l + 1)*(3*l + 1)/5
Let f(q) = -3*q**3 + 12*q**2 - 21*q + 6. Let s(o) = -3*o**3 + 11*o**2 - 21*o + 5. Let n(g) = -4*f(g) + 3*s(g). Suppose n(p) = 0. What is p?
1, 3
Let m be ((-8)/5)/((-1)/15*9). Factor 2/3*j**2 + 8/3 - m*j.
2*(j - 2)**2/3
Let y(q) be the second derivative of q**6/30 - 11*q**5/30 + 7*q**4/36 - 12*q. Factor y(i).
i**2*(i - 7)*(3*i - 1)/3
Let t = 476/171 + -36/19. Factor 2/9*j**2 + 8/9*j + t.
2*(j + 2)**2/9
Let c(w) = w + 7. Let f be c(0). Let m = 13 - f. Factor -m*n**3 + 8*n**4 - 2*n**5 + 3*n**2 - n**2 - 2*n**4.
-2*n**2*(n - 1)**3
Let c(a) be the third derivative of -a**7/630 + a**6/180 + a**5/180 - a**4/36 + 3*a**2. Factor c(w).
-w*(w - 2)*(w - 1)*(w + 1)/3
Factor -12/11*r - 2/11*r**2 + 14/11.
-2*(r - 1)*(r + 7)/11
Let p be 4 - (-2 + 6) - -4. Let s(f) be the first derivative of 0*f**p - 1 + 1/9*f**3 + 0*f - 1/15*f**5 + 0*f**2. Determine c so that s(c) = 0.
-1, 0, 1
Let j(r) = 7*r**3 - 2*r - 1. Let c be j(-1). Let w be ((-28)/c)/(-2) + 3. Solve 2/3*s**5 + 0 + w*s**3 + 0*s + 0*s**2 - 4/3*s**4 = 0.
0, 1
Determine x, given that 0*x**4 + 0 + 1/2*x**5 - 3/2*x**3 + x**2 + 0*x = 0.
-2, 0, 1
Suppose 3*u = 5*r - 13 - 15, u = 4*r - 21. Suppose 2*n = -1 + 5. Factor 0 + 8 - s**n + 2*s**3 - r*s**2.
2*(s - 2)**2*(s + 1)
Suppose -3*u - 2*u = -3*u. Let q(r) be the second derivative of -1/21*r**4 - 1/70*r**5 + u*r**3 + r + 0*r**2 + 0 + 1/105*r**6. What is f in q(f) = 0?
-1, 0, 2
Let r(l) = -l**3 + 5*l**2 - 2*l - 5. Let k be r(4). Determine 