 40*g**2 - 10*g + 3. Suppose 4*p = 5*p + 15. Let k(n) = p*v(n) + 3*i(n). Solve k(l) = 0.
-1, -2/7
Let u(q) be the second derivative of q**4/42 - 2*q**3/21 - 3*q**2/7 - 39*q. Let u(j) = 0. What is j?
-1, 3
Let v(c) = -c**2 + 5*c + 3. Let b be v(6). Let g(n) = -4*n**2 + n + 3. Let s(h) = 3*h**2 - 2*h**2 - 4 + 3. Let l(u) = b*s(u) - g(u). Factor l(z).
z*(z - 1)
Let u = -37/3 + 13. Factor -u*z + 0 - 1/3*z**2.
-z*(z + 2)/3
Let l(b) = b**3 + 6*b**2 + 5*b - 2. Let z be l(-5). Let x be (-3)/(-2 - z/4). Factor -4*n**5 - 3*n**3 + 3*n**4 - 2*n**5 + n**x + 5*n**5.
-n**2*(n - 1)**3
Let c(a) be the third derivative of -a**6/300 - 7*a**5/150 - a**4/4 - 3*a**3/5 + 22*a**2. Suppose c(h) = 0. What is h?
-3, -1
Let p be (15/(-135))/(1/(-12)). What is k in -1 - p*k - 1/3*k**2 = 0?
-3, -1
Let m = 29 + -26. Factor 0 - 1/4*u**m + 1/4*u - 1/4*u**2 + 1/4*u**4.
u*(u - 1)**2*(u + 1)/4
Let n(i) be the first derivative of 2/7*i + 10 - 2/21*i**3 + 0*i**2. Factor n(o).
-2*(o - 1)*(o + 1)/7
Suppose -16 = -2*j - 5*n, 3*n = -5*j + 2*j + 24. Suppose 0*t = 2*t + 3*p - 6, 3*t = -4*p + 9. Factor 11*y**2 - j*y**t - 14*y**3 - 2*y + 6*y**3 + 7*y**4.
y*(y - 1)**2*(7*y - 2)
Let k = 392 + -3917/10. Let n(a) be the third derivative of 0*a + 1/3*a**3 + 1/2*a**4 - a**2 + 0 + k*a**5. Factor n(b).
2*(3*b + 1)**2
Factor -2*c - 2*c**2 - 4*c + 10*c - c**2.
-c*(3*c - 4)
Let k(t) = -t**4 + t**3 - t + 1. Let w(i) = -4*i**5 + i**4 - 17*i**3 + 2*i**2 + 13*i - 11. Let p(m) = -22*k(m) - 2*w(m). Solve p(h) = 0 for h.
-1, 0, 1/2
Let l(f) = -f**3 - 7*f**2 + 2. Let q be l(-7). Solve -2*i**2 + i + q*i**3 - 3*i - 1 + 3 = 0.
-1, 1
Suppose 0 = 3*h + 4*c - 9, 0 = -0*h - 5*h + c + 15. Suppose 2/3*f**h - 2/3*f**2 - 2/3*f + 2/3 = 0. What is f?
-1, 1
Let o(x) be the second derivative of x**7/14 - 17*x**6/30 + 11*x**5/10 - 2*x**4/3 + 2*x. Factor o(r).
r**2*(r - 4)*(r - 1)*(3*r - 2)
Let z = 19/12 + -11/12. Solve 0*d + 0 + z*d**2 + 2/3*d**3 = 0 for d.
-1, 0
Factor 4/5*p - 2/5*p**5 + 2/5*p**4 + 6/5*p**3 - 2*p**2 + 0.
-2*p*(p - 1)**3*(p + 2)/5
Let t(a) be the first derivative of 1/4*a**4 + 0*a + 0*a**2 - 1/6*a**6 + 0*a**3 - 3 + 0*a**5. Factor t(j).
-j**3*(j - 1)*(j + 1)
Let f(q) be the third derivative of 0*q - 1/240*q**5 + 2*q**2 + 1/24*q**4 - 1/6*q**3 + 0. Solve f(p) = 0.
2
Let q(g) be the first derivative of g**5/5 - g**4/4 - 2*g**3/3 - 6. Let q(y) = 0. What is y?
-1, 0, 2
Factor 81/5*d - 3*d**4 + 123/5*d**3 - 297/5*d**2 + 324/5.
-3*(d - 3)**3*(5*d + 4)/5
Let i(w) be the third derivative of w**8/84 - w**6/10 - 2*w**5/15 + 5*w**2. Suppose i(r) = 0. Calculate r.
-1, 0, 2
Let f(j) be the first derivative of -3*j**5/5 + 6*j**4 - 24*j**3 + 48*j**2 - 48*j - 1. Suppose f(p) = 0. Calculate p.
2
What is u in -17*u - 3 - 6*u**3 - 27*u**2 - u - 6*u**3 = 0?
-1, -1/4
Let v be ((-4)/2)/(-4)*0. Suppose 4*q = v, r + 2*q - 5 = 6*q. Find s, given that 1/2*s**3 + 1/4 - 1/2*s**2 + 1/4*s**4 - 1/4*s - 1/4*s**r = 0.
-1, 1
Let t(y) be the first derivative of 2*y**3/3 - 2*y**2 - 6*y - 7. Find f, given that t(f) = 0.
-1, 3
Let x(i) = -5*i**4 + 4*i**3 + 3*i + 5. Let y(h) = 2*h**4 - 2*h**3 - h - 2. Let w(j) = 6*x(j) + 14*y(j). Factor w(q).
-2*(q - 1)*(q + 1)**3
Suppose 3*u + 0 - 6 = 0. Factor 4*b**2 + b + 3*b**3 - 2*b**u - 2*b**3.
b*(b + 1)**2
Suppose v = 2*v - 12. Solve -5*p**2 - 3*p**2 + v*p**2 = 0 for p.
0
Let -1/2*u**2 + 2*u - 2 = 0. Calculate u.
2
Let h(u) = 20*u + 7. Let i be h(-2). Let w be 22/24 + 22/i. Factor -1/2*d**3 + 1/2*d - 1/4*d**2 + w*d**4 + 0.
d*(d - 2)*(d - 1)*(d + 1)/4
Let q be (((-20)/225)/(-1))/((-4)/(-6)). Let c(l) be the first derivative of 2/5*l**2 + 2/5*l - 1 + q*l**3. Factor c(k).
2*(k + 1)**2/5
Let j(d) be the second derivative of -d**6/120 - d**5/80 + d**4/24 + 9*d. Find y such that j(y) = 0.
-2, 0, 1
Let a be 0 + 1 + -1 + 2. Let s(b) = b**3 - 6*b**2 + 23*b + 3. Let n(c) = -c - 1. Let k(t) = a*s(t) + 22*n(t). Suppose k(d) = 0. Calculate d.
2
Solve 8*j**4 + 2*j**3 + 14*j**3 + 34*j**3 - 100*j**2 - 16*j**4 + 70*j - 12 = 0.
1/4, 1, 2, 3
Let j(y) be the first derivative of -y**5/50 + y**4/10 - y**3/5 + y**2/5 + 4*y - 3. Let h(l) be the first derivative of j(l). Determine z so that h(z) = 0.
1
Let z(l) be the first derivative of 1 - 8*l**3 + 9/2*l**4 + 4*l**2 + 0*l. Find f, given that z(f) = 0.
0, 2/3
Let i(k) be the first derivative of k**3/6 + k**2/4 + 4. Determine l, given that i(l) = 0.
-1, 0
Let i = 24 + -22. Solve -4*w**3 - 6*w**4 - w**i - w**2 + 4*w**4 = 0 for w.
-1, 0
Let h = -4303/3 - -1405. Let r = h + 32. Suppose 2/3*s**2 + r*s**3 - 2/3 - 8/3*s = 0. Calculate s.
-1, -1/4, 1
Factor 2*w - 38*w**3 - 10*w**2 - 5*w**4 + 15 + 18*w + 18*w**3.
-5*(w - 1)*(w + 1)**2*(w + 3)
Let h = 154 - 1076/7. Suppose 8/7 + 8/7*q + h*q**2 = 0. Calculate q.
-2
Suppose 5*i - 2*k + 5 = -7*k, 0 = 5*i - k - 13. What is b in -2*b**5 + i*b**3 - 4/5*b**2 + 4/5*b**4 + 0*b + 0 = 0?
-1, 0, 2/5, 1
Find g such that 0*g**2 + 6/5*g - 4/5 - 2/5*g**3 = 0.
-2, 1
Factor -8 + 8*a**2 - 4*a**3 - 8*a**3 + 20*a - 8*a**3.
-4*(a - 1)*(a + 1)*(5*a - 2)
Let n be 1 + -4 + (4 - (0 + 1)). Find g, given that n*g - g**2 + 5/2*g**5 + 0 + 4*g**4 + 1/2*g**3 = 0.
-1, 0, 2/5
Solve 26*t**2 - 54*t**2 - 3*t**3 + 25*t**2 = 0 for t.
-1, 0
Suppose -1236*a + 1241*a = 20. Factor 0*s**2 + 0*s + 0*s**a - 2/5*s**3 + 0 + 2/5*s**5.
2*s**3*(s - 1)*(s + 1)/5
Let s(z) be the first derivative of z**6/240 + z**5/40 + z**3/3 - 4. Let l(k) be the third derivative of s(k). Determine o so that l(o) = 0.
-2, 0
Let g(l) = -8*l**2 + 10*l. Let d(j) = 17*j**2 - 21*j. Let a = -12 + 25. Let p(k) = a*g(k) + 6*d(k). Factor p(z).
-2*z*(z - 2)
Let b(m) be the third derivative of -m**10/50400 + m**9/6720 - m**8/2240 + m**7/1680 + m**5/20 - 2*m**2. Let u(v) be the third derivative of b(v). Factor u(l).
-3*l*(l - 1)**3
Let z be (5 + 1)*10/3. Determine c so that -3*c**3 + 5*c**3 + 0*c**3 + 22*c**2 - z*c**2 = 0.
-1, 0
Let g(d) = d - 10. Let p be g(6). Let s be 2 + 2/(6 + p). Factor 2/5*c**s + 2/5*c**2 - 2/5*c - 2/5.
2*(c - 1)*(c + 1)**2/5
Let o(q) be the second derivative of -1/36*q**4 - 1/18*q**3 + 0*q**2 + 0 - 2*q. Factor o(y).
-y*(y + 1)/3
Let s be (-1 + (-3)/(-6))*-2. Suppose s = -3*o + 7. Factor 2*m + m**o - 2*m + m.
m*(m + 1)
Suppose l = -1 - 2. Let x = l + 5. Determine r so that -1/3 - 2/3*r - 1/3*r**x = 0.
-1
Let c(u) be the third derivative of -u**8/84 + 2*u**7/35 + u**6/2 + 17*u**5/15 + u**4 + 22*u**2. Factor c(x).
-4*x*(x - 6)*(x + 1)**3
Let c be 8/3 + (4 - 1) + -2. What is l in -1/3 - 1/3*l + 3*l**2 - c*l**3 + 4/3*l**4 = 0?
-1/4, 1
Determine k so that -201*k + 92*k - 2*k**2 - 10 + 97*k + 0 = 0.
-5, -1
Let w be (1 - 1)/3*(-5)/(-10). Let a be (16/(-36))/((-4)/6). Factor -a*h**5 + 0*h + w*h**2 - 8/3*h**4 - 8/3*h**3 + 0.
-2*h**3*(h + 2)**2/3
Determine i so that 2/3 + 1/3*i**2 - i = 0.
1, 2
Let d(i) be the third derivative of 0*i + 1/24*i**3 + 1/60*i**5 + 1/24*i**4 + 0 + 2*i**2. Factor d(k).
(2*k + 1)**2/4
Let t(k) be the first derivative of -2*k**5/85 + 9*k**4/34 - 14*k**3/17 + 19*k**2/17 - 12*k/17 - 14. Determine q, given that t(q) = 0.
1, 6
Let b(d) be the third derivative of d**5/510 - d**4/102 + d**3/51 + 14*d**2. Solve b(v) = 0 for v.
1
Let k be 192/(-48) - 22/(-4). Find o such that k + 0*o - 3/2*o**2 = 0.
-1, 1
Let m(q) = -q**2 + 5*q - 4. Suppose -2*c + 0*c = -6. Let n be m(c). Factor 0*x + 2*x + 6*x**2 - 2 - n.
2*(x + 1)*(3*x - 2)
Let b(j) be the third derivative of j**5/330 + j**4/66 + j**3/33 + 3*j**2. Factor b(f).
2*(f + 1)**2/11
Let v(s) be the first derivative of s**7/315 - 7*s**6/180 + s**5/5 - 5*s**4/9 + 8*s**3/9 + s**2 - 1. Let g(n) be the second derivative of v(n). Factor g(z).
2*(z - 2)**3*(z - 1)/3
Let d(l) be the third derivative of l**9/151200 - l**7/4200 - l**6/900 - l**5/30 + 2*l**2. Let j(u) be the third derivative of d(u). What is y in j(y) = 0?
-1, 2
Let m = -2 + 7. Suppose -4*t**2 - 5 + m*t**2 + 3 + 0*t + t = 0. Calculate t.
-2, 1
Suppose -4*y = -2*y. Let r be ((-5)/2 - -2)*y. Factor -2/7*l**3 + r - 2/7*l + 4/7*l**2.
-2*l*(l - 1)**2/7
Let t be (-4)/6*(-9)/2. Determine c so that 7*c - 9*c + 7*c**2 + 5*c**4 - c**5 - 3*c**3 - 6*c**t = 0.
0, 1, 2
Let r(c) = 2 + 1 - 2 + 0*c**2 + c**3 + c**2. Let h(t) = 3*t**3 + 3*t**2 - t + 1. Let p(s) = -h(s) + 2*r(s). Factor p(a).
-(a - 1)*(a + 1)**2
Let j(m) = -m**3 - m. Let x(k) = 0*k**3 - 7*k**3 + 2 + 0 - 6 + 3*k**2 - 6*k. Let q(u) = -6*