9 + -13. Find i such that -2*i**2 + 3*i - y*i**3 - q*i - 8*i**2 = 0.
-1, -2/3, 0
Suppose -5*w = -5*y - 10, -3*y + 2*w = -2 + 3. Let q(j) = 2*j - 30. Let c be q(17). Factor -2*t + t - t**2 - 4*t**c + 2*t**4 + t**3 + y*t**4.
t*(t - 1)*(t + 1)**2
Let l(u) = -u**4 + 7*u**3 - u + 1. Let f(k) = 3*k**4 - 15*k**3 + k - 3. Let r(a) = -a**2 - 5*a + 3. Let q be r(-6). Let s(y) = q*f(y) - 7*l(y). Factor s(i).
-2*(i - 1)*(i + 1)**3
Let z(u) be the third derivative of u**8/448 + u**7/140 + u**6/160 + 7*u**2. Suppose z(r) = 0. What is r?
-1, 0
Let n(c) be the first derivative of -c**8/2016 - c**7/1260 + c**6/720 + c**5/360 - c**2 - 7. Let x(k) be the second derivative of n(k). Solve x(a) = 0.
-1, 0, 1
Let g(d) be the third derivative of d**6/144 + d**5/3 + 20*d**4/3 + 640*d**3/9 + 38*d**2. What is a in g(a) = 0?
-8
Suppose 0 = -l - l. Suppose -2*i - 5*y + 0*y = l, 16 = 4*i + 2*y. Factor -r**2 - 3*r**5 + 2*r + r**i + 5*r**2 - 4*r**4.
-2*r*(r - 1)*(r + 1)**3
Let a(w) be the first derivative of 4/35*w**5 + 1/21*w**6 - 2 - 1/7*w**4 - w**2 - 4/7*w - 16/21*w**3. Factor a(m).
2*(m - 2)*(m + 1)**4/7
Let j = 161 + -158. Factor 1/2*z**j + 1/6*z**4 + 0 + 1/6*z + 1/2*z**2.
z*(z + 1)**3/6
Suppose -2*s + 4*s = 6. Suppose r = -5*q + 36, 4*q - 18 + 2 = -4*r. Suppose 11 + q*d - s + 5*d**2 - 3*d**2 = 0. Calculate d.
-2
Suppose -5*a = 4*i - 26, -a = -i - 12 + 14. Factor -8/3*o - 2/3*o**a - 2.
-2*(o + 1)*(o + 3)/3
Let n(t) be the second derivative of t**9/68040 - t**8/30240 - t**7/11340 + t**6/3240 + 5*t**4/12 - t. Let p(z) be the third derivative of n(z). Factor p(q).
2*q*(q - 1)**2*(q + 1)/9
Let t = -3 - -7. Let m be 3*(-2)/t*-2. Factor -y**3 - y - 6*y + m*y - 4*y**2.
-y*(y + 2)**2
Let r(i) be the third derivative of i**5/15 + i**4/6 - 4*i**3/3 - 10*i**2. Solve r(s) = 0.
-2, 1
Let n(h) = h**2 - 8*h + 2. Let i be n(8). Factor 0 + 0*b - 2/7*b**i.
-2*b**2/7
Factor -2*r**3 + 4*r**2 - 7*r**3 + 2*r**5 + 3*r**3.
2*r**2*(r - 1)**2*(r + 2)
Let m(r) = -5*r**4 - r**3 - 8*r**2 - 6*r - 6. Let y = 9 - 3. Let n(l) = 4*l**4 + l**3 + 7*l**2 + 5*l + 5. Let v(c) = y*n(c) + 5*m(c). Factor v(u).
-u**2*(u - 2)*(u + 1)
Let p(h) = -4*h**5 + h**4 + 2*h**3 - 2*h + 2. Let i(v) = 9*v**5 - 3*v**4 - 5*v**3 + 5*v - 5. Let w(z) = -2*i(z) - 5*p(z). Factor w(y).
y**4*(2*y + 1)
Let w(i) be the third derivative of -i**5/120 - i**4/8 - 3*i**3/4 - 5*i**2. Solve w(x) = 0.
-3
Let a be (44/(-20) + 2)/(6/(-15)). Let -1/4*y**4 - a + 1/4*y**3 + 3/4*y**2 - 1/4*y = 0. What is y?
-1, 1, 2
Let v(q) be the first derivative of q**6/10 + 6*q**5/25 + 2. Let v(n) = 0. What is n?
-2, 0
Let s(g) be the third derivative of g**9/15120 - g**8/3360 - g**7/840 - g**4/8 + 6*g**2. Let n(k) be the second derivative of s(k). Solve n(r) = 0 for r.
-1, 0, 3
Let z be (-21)/(-4)*(1 + 3). Factor 6 - 4*a**3 + 4*a + 7 - z + 8*a**2.
-4*(a - 2)*(a - 1)*(a + 1)
Let l be (-19)/(-4) + 3/12. Factor 7*k**4 - l*k**4 + 4*k**2 + k**5 - 5*k**4.
k**2*(k - 2)**2*(k + 1)
Let k = -58/3 - -21. Find j, given that -3*j**2 + 0 + 4*j**3 - k*j**4 + 2/3*j = 0.
0, 2/5, 1
Suppose -269 = -2*m - u - 4*u, 0 = -m + 5*u + 172. Let d be 12/9*m/18. Let 0 + d*i**4 - 8/9*i - 16/3*i**2 - 14/3*i**3 = 0. Calculate i.
-2/7, 0, 1
Suppose 0 = w - 5*w. Suppose w*o = 5*o + 4*d - 22, 2*d - 8 = -2*o. Factor 2*x + 2*x + o*x**2 - 2*x**4 + 0*x.
-2*x*(x - 2)*(x + 1)**2
Let u(o) = -o**3 - 7*o**2 - 6*o + 6. Let i be u(-6). Suppose 0 = -i*q + q. Factor 0 + q*p**2 + 2/7*p**4 + 0*p**3 + 2/7*p**5 + 0*p.
2*p**4*(p + 1)/7
Let l = -152 + 295/2. Let c = l + 5. Factor z - z**3 + c + 0*z**2 - 1/2*z**4.
-(z - 1)*(z + 1)**3/2
Suppose 12 = -0*u + 4*u. Let g(h) be the first derivative of -2/3*h**u + 6*h**4 + 0*h**2 + 64/3*h**6 - 2 - 96/5*h**5 + 0*h. Find a such that g(a) = 0.
0, 1/4
Suppose -z = 4*z. Determine p so that -p**2 + 5*p - 3*p + z*p**2 + 0*p**2 - 1 = 0.
1
Suppose 20*a - 110 = -2*a. Let g(u) be the first derivative of 0*u**2 - 1/3*u**6 + 0*u**a + 2 + 0*u**3 + 1/2*u**4 + 0*u. Factor g(b).
-2*b**3*(b - 1)*(b + 1)
Suppose t - 6*t - 20 = 0. Let b be (-9)/t + -5 + 3. Solve 0 + b*k**5 + k**4 + 3/2*k**3 + 1/4*k + k**2 = 0 for k.
-1, 0
Let a = 8 - 0. Let u(i) = 2*i - 12. Let j be u(a). Solve -54/7*y**j - 6/7*y + 62/7*y**3 - 8*y**5 - 4/7 + 58/7*y**2 = 0 for y.
-1, -1/4, 2/7, 1
Let f(x) = -x**4 + x**3 + x**2 + 1. Let j(m) = 9*m**2 - 13 + 8 + 9*m**4 - 6*m**3 - 13*m**3. Let w(c) = 3*f(c) + j(c). Factor w(t).
2*(t - 1)**3*(3*t + 1)
Let z = -5 + 7. Find k such that -k**3 + 2*k**2 + 2 - z = 0.
0, 2
Let z(m) be the first derivative of m**6/14 - 66*m**5/35 + 138*m**4/7 - 720*m**3/7 + 1944*m**2/7 - 2592*m/7 - 45. Suppose z(o) = 0. Calculate o.
2, 6
Let h be (-634)/(-14) - (-6)/(-21). Suppose 0*x = 5*x - h. Solve x*u - u**3 - 3*u**3 - 1 + 7 + u**3 = 0.
-1, 2
Factor 0 - 12/5*s + 3/5*s**2.
3*s*(s - 4)/5
Suppose -w + 16 = -0*w - 3*k, 11 = w - 2*k. Let a(x) be the first derivative of 0*x - 2/9*x**3 + w + 1/3*x**2. Factor a(t).
-2*t*(t - 1)/3
Let p(t) = -5*t**3 - 2*t**2 + 5*t + 2. Suppose 0 = x - 3. Let g(b) = 2*b**3 + x*b - 4*b - b**3. Let o(z) = -3*g(z) - p(z). Determine k so that o(k) = 0.
-1, 1
Let u(b) be the second derivative of -1/10*b**5 + 1/6*b**4 + 0 - 1/42*b**7 + 1/2*b**3 + 1/2*b**2 + 3*b - 1/10*b**6. Find v such that u(v) = 0.
-1, 1
Solve 21*c - 3*c**2 + 15*c**3 - 24*c + c**4 - 12*c + 2*c**4 = 0.
-5, -1, 0, 1
Suppose 4*k - 10 = -2*z, 3*k + 3*z - 6 = 9. Let d(w) be the second derivative of k*w**2 - 1/48*w**4 + 1/12*w**3 + 0 - w. Factor d(g).
-g*(g - 2)/4
Let s(u) be the first derivative of 1/5*u**2 + 1/15*u**3 + 0*u + 6. Factor s(c).
c*(c + 2)/5
Let t = -21 + 15. Let m be (t*(-8)/108)/1. Factor 0 + 2/9*x + 2/9*x**3 + m*x**2.
2*x*(x + 1)**2/9
Factor 0 - 1/4*q**3 + 1/4*q**5 + 3/4*q**2 - 3/4*q**4 + 0*q.
q**2*(q - 3)*(q - 1)*(q + 1)/4
Factor 8/11 - 6/11*z - 2/11*z**2.
-2*(z - 1)*(z + 4)/11
Let k(w) be the first derivative of 5*w**3/3 + 70*w**2 + 980*w - 27. Determine z, given that k(z) = 0.
-14
Let w be 3 + -3 - 128/(-154). Let g = -6/11 + w. Factor -2/7*h**3 + 0*h**4 + g*h**5 + 0*h + 0 + 0*h**2.
2*h**3*(h - 1)*(h + 1)/7
Let i(b) be the first derivative of 4*b**3/33 + 17*b**2/11 + 16*b/11 + 43. Determine x, given that i(x) = 0.
-8, -1/2
Let v(p) be the third derivative of -p**8/20160 + p**7/7560 - p**4/6 - 3*p**2. Let c(f) be the second derivative of v(f). Find a, given that c(a) = 0.
0, 1
Let x = -2/57 - -65/228. Factor 0 - x*y**4 + 0*y**2 + 0*y**3 + 0*y.
-y**4/4
Let k be -1 - (26/(-11) - 1) - 2. Solve -2/11*l**3 + 2/11*l - 4/11*l**2 + k = 0.
-2, -1, 1
Let f(p) be the third derivative of p**5/90 - p**4/6 + 5*p**3/9 - 20*p**2. Factor f(y).
2*(y - 5)*(y - 1)/3
Solve -2/3*w**2 + 1/3*w**4 + w**3 - 4*w - 8/3 = 0 for w.
-2, -1, 2
Let x = 9 + -9. Let z(j) be the third derivative of 1/120*j**5 + 0 + 0*j**3 + x*j**4 + 0*j + 1/240*j**6 - j**2. What is f in z(f) = 0?
-1, 0
Let w(g) be the second derivative of -g**6/540 - g**5/90 + g**3/3 + 2*g. Let f(k) be the second derivative of w(k). Factor f(o).
-2*o*(o + 2)/3
Let i = -1 + 3. Let p be (0 - 2/(-4))/((-4)/(-8)). Let p + i - 4 - 3*j**2 + 4 = 0. What is j?
-1, 1
Suppose -6*m**3 - 6*m**5 + 4*m**4 - 4*m**2 + 14*m**3 + 173*m - 175*m = 0. Calculate m.
-1, -1/3, 0, 1
Let r(s) be the second derivative of -s**5 - 17*s**4/3 - 32*s**3/3 - 8*s**2 + 5*s. Factor r(k).
-4*(k + 1)*(k + 2)*(5*k + 2)
Let h(a) = -a**5 - a**4 + 24*a**3 + 36*a**2 + 23*a - 11. Let u(x) = -x**3 - x**2 - x + 1. Let m(s) = 2*h(s) + 22*u(s). Determine j, given that m(j) = 0.
-3, -1, 0, 4
Let l(k) = k**2 + 5*k + 8. Let p be l(-3). Let c(j) be the first derivative of -1/2*j**3 + 3/8*j**4 + 0*j - 1/10*j**5 + 1/4*j**p - 3. Factor c(u).
-u*(u - 1)**3/2
Let f(r) be the first derivative of -r**4/10 - 2*r**3/5 + r**2/5 + 6*r/5 + 7. Solve f(x) = 0.
-3, -1, 1
Let c be 72/(-80)*12/(-27). Find s such that -c + 6/5*s**2 + 4/5*s = 0.
-1, 1/3
Let v = -549 - -3849/7. Factor v*m**3 + 2/7*m + 0 + 2/7*m**4 + 6/7*m**2.
2*m*(m + 1)**3/7
Let c = -17 - -20. Find i, given that -4*i**3 + 2*i**c - 10*i**2 + 4*i**2 = 0.
-3, 0
Factor 6/5*j**3 - 21/5*j**2 + 21/5*j - 6/5.
3*(j - 2)*(j - 1)*(2*j - 1)/5
Factor -4/7*a**4 - 8/7*a + 0 + 8/7*a**3 + 4/7*a**2.
-4*a*(a - 2)*(a - 1)*(a + 1)/7
Let b(p) = p**3 + 4*p**2 - 4*p - 2. Let u be b(-5). Let h = u + 10. Suppose 4*z + 1 + 2*z**3 - z**2 - h*z**3 - 3*z = 0. What is z?
-1, 1
Factor -674*c**2 - 3*