t**3.
2*t**2*(t + 2)**2/9
Let y(f) be the second derivative of -f**7/42 - f**6/6 - 9*f**5/20 - 7*f**4/12 - f**3/3 + 10*f. Factor y(r).
-r*(r + 1)**3*(r + 2)
Let s(p) be the third derivative of 0*p**3 + 1/200*p**6 - 1/20*p**4 + 2*p**2 + 3/350*p**7 + 0 - 3/100*p**5 + 0*p + 1/560*p**8. Suppose s(i) = 0. What is i?
-2, -1, 0, 1
Suppose 1 = -9*y + 46. Let 1/5*d**y + 2/5*d**4 + 0 + 0*d - 2/5*d**2 - 1/5*d**3 = 0. Calculate d.
-2, -1, 0, 1
Suppose -3/4 - 3*d**5 + 3/2*d**2 - 3*d + 6*d**3 - 3/4*d**4 = 0. Calculate d.
-1, -1/4, 1
Let s(x) be the first derivative of -x**4/4 + 2*x**3/3 - x**2/2 - 7. Find l such that s(l) = 0.
0, 1
Let i(a) be the first derivative of a**3/15 - 9*a**2/5 + 81*a/5 + 37. Factor i(j).
(j - 9)**2/5
Let y = -70 + 72. Let z(q) be the second derivative of -1/10*q**5 + 0*q**y + 0*q**3 - 1/30*q**6 + 0 - 3*q - 1/12*q**4. Factor z(d).
-d**2*(d + 1)**2
Let w(u) be the second derivative of u**4/3 + 4*u**3/3 + 2*u**2 + 10*u. Let w(o) = 0. Calculate o.
-1
Determine m, given that -11*m**3 + 6*m**4 + 13*m + 10 + 5*m**5 + m**3 - 8*m + 4*m**4 - 20*m**2 = 0.
-2, -1, 1
Let a(g) be the second derivative of -g**7/42 + g**6/30 - 3*g. Factor a(i).
-i**4*(i - 1)
Let i be (-4)/(-14) + 33/7. Suppose -p + 5 = i*y - 10, 2*p - 12 = -4*y. Let 1/2*j**3 - 7/4*j**2 - 1/2*j + p + 7/4*j**4 = 0. What is j?
-1, -2/7, 0, 1
Let j(i) = i**2 + 10*i + 9. Let k be j(-9). Factor 1/2*y**2 + 0*y - 1/2*y**4 + 0 + k*y**3.
-y**2*(y - 1)*(y + 1)/2
Let l(p) be the second derivative of p**10/15120 + p**9/3780 - p**7/630 - p**6/360 - p**4/4 + 5*p. Let i(g) be the third derivative of l(g). Factor i(v).
2*v*(v - 1)*(v + 1)**3
Let o(x) be the second derivative of -3*x**5/5 + 5*x**4/3 + 4*x**3/3 - x. Find j such that o(j) = 0.
-1/3, 0, 2
Let a(l) be the first derivative of l**6/30 - l**5/12 - l**4/36 + 5*l**3/18 - l**2/3 + l + 4. Let o(q) be the first derivative of a(q). Factor o(m).
(m - 1)**2*(m + 1)*(3*m - 2)/3
Let r = -47774/75 + 637. Let d(a) be the second derivative of -2/15*a**3 + 0*a**2 + 1/25*a**5 - 1/30*a**4 + r*a**6 + 4*a + 0. Determine y, given that d(y) = 0.
-2, -1, 0, 1
Let u(c) be the second derivative of c**7/105 - c**6/15 + c**5/5 - c**4/3 + c**3/3 - c**2/2 + 2*c. Let t(p) be the first derivative of u(p). Factor t(s).
2*(s - 1)**4
Factor 1/3*d**4 + 4/3 + 4/3*d - d**2 - 2/3*d**3.
(d - 2)**2*(d + 1)**2/3
Let c(y) = y**4 - y**2 - y + 1. Let f(d) = -4*d**4 + 5*d**3 - 5*d**2 + 7*d - 3. Let b(h) = -3*c(h) - f(h). Factor b(r).
r*(r - 2)**2*(r - 1)
Solve -2*m**3 + 52*m**5 - 104*m**5 + 54*m**5 - 2*m**2 + 2*m**4 = 0.
-1, 0, 1
Let c(y) = -4*y**4 - 3*y**3 - 7*y + 7. Let h(t) = 5 + 2*t - 4 + t**4 + t**3 - 3. Let j(g) = -6*c(g) - 21*h(g). Factor j(o).
3*o**3*(o - 1)
Factor 0*c**3 + 0*c + 0 - 2/7*c**4 + 0*c**2.
-2*c**4/7
Suppose 4*w = -0*w. Let i = 36 + -32. Let w*d + 3*d**2 - i*d**2 - d**2 + 2*d = 0. What is d?
0, 1
Let i(y) be the third derivative of -8*y**2 - 7/8*y**4 + 3/2*y**3 + 0*y + 1/10*y**5 + 0. Let i(c) = 0. What is c?
1/2, 3
Let d = -1250/33 - -424/11. Suppose 0 - 2/3*n**3 + 0*n**2 + d*n = 0. What is n?
-1, 0, 1
Let d(n) be the third derivative of 1/180*n**6 - 1/30*n**5 + 2*n**2 + 0*n + 0 + 0*n**4 + 4/9*n**3. Factor d(p).
2*(p - 2)**2*(p + 1)/3
Let t(d) be the third derivative of d**6/40 - d**5/5 + 5*d**4/8 - d**3 + 5*d**2. Factor t(j).
3*(j - 2)*(j - 1)**2
Let y(d) be the third derivative of 0 + 0*d**4 + 0*d**3 + 1/270*d**5 + 0*d - 2*d**2. Determine t so that y(t) = 0.
0
Let h = 247/330 + -15/22. Let q(z) be the second derivative of 1/6*z**4 + 0*z**3 - h*z**6 + 0*z**2 + 0*z**5 - 3*z + 0. Find u such that q(u) = 0.
-1, 0, 1
Let c be 1/(-2)*(-16)/12. Factor 2*i**2 + 2/3*i**3 + c + 2*i.
2*(i + 1)**3/3
Let u(p) be the third derivative of -1/24*p**4 + 1/6*p**3 + 0*p + 1/240*p**5 - 3*p**2 + 0. Factor u(t).
(t - 2)**2/4
Let g(u) be the third derivative of -u**5/60 - 2*u**2. Let m(t) = 6*t + 4. Let c(l) = -2*g(l) + m(l). Suppose c(k) = 0. Calculate k.
-2, -1
Let d(l) be the first derivative of l**7/3780 + l**6/405 + l**5/135 - 4*l**3/3 - 1. Let m(p) be the third derivative of d(p). Let m(b) = 0. What is b?
-2, 0
Let y(c) = -3*c**2 - 2 + c**2 - 2 - 6*c + 8*c**2. Let a(b) = -7*b**2 + 7*b + 5. Let z(j) = 4*a(j) + 5*y(j). Let z(p) = 0. Calculate p.
0, 1
Let 40*q**3 + 314*q**2 - 7*q**4 - 298*q**2 + 6*q**5 + 35*q**4 = 0. Calculate q.
-2, -2/3, 0
Let w = -12 - -22. Suppose -3*k + 8*k = w. Factor 0*g - k*g**3 - 2/3*g**2 + 0.
-2*g**2*(3*g + 1)/3
Factor 8*j - 15*j + 3*j**2 + j.
3*j*(j - 2)
Factor 4/3 + 2*s + 0*s**2 - 2/3*s**3.
-2*(s - 2)*(s + 1)**2/3
Let k(y) be the first derivative of 1/12*y**4 + 0*y + 2 - 1/6*y**2 - 1/15*y**5 + 1/9*y**3. Solve k(i) = 0 for i.
-1, 0, 1
Let b = 1 + -22. Let l be 2/6*(b + 21). Factor l*r + 0 - 2/9*r**2.
-2*r**2/9
Let g = -54 - -384/7. Determine u so that 0 - 2/7*u**4 - 6/7*u**2 - g*u**3 - 2/7*u = 0.
-1, 0
Suppose -3 = 3*u - 4*u. Let y = -2/63 + 136/315. Find q, given that 12/5*q**2 - 8/5*q + 2/5 - 8/5*q**u + y*q**4 = 0.
1
Let h = -53 - -107/2. Factor 0 - 1/2*a**2 - h*a.
-a*(a + 1)/2
Let p = 2 - 0. Suppose -p*i = i. Factor 0 + i*c + 2/7*c**4 - 4/7*c**3 + 2/7*c**2.
2*c**2*(c - 1)**2/7
Let b be 105/42 + (-6)/4. Let f be b + 44/(-12) + 3. Factor 0 + 1/3*a + f*a**2.
a*(a + 1)/3
Let t be 10/(-4)*30/(-25). Factor -22*u**3 + 0*u + 0*u + t*u**5 + 25*u**3 + 6*u**4.
3*u**3*(u + 1)**2
What is i in 164*i**2 + 172*i**2 - 329*i**2 + 5*i**3 + 2*i = 0?
-1, -2/5, 0
Let m(u) be the third derivative of -u**8/100800 - u**7/8400 - u**6/1800 + u**5/60 - 2*u**2. Let p(b) be the third derivative of m(b). Let p(j) = 0. What is j?
-2, -1
Let b(j) = -4*j**2 - 3*j + 7. Let g(o) = -2*o**2 - o + 3. Let c(k) = 3*b(k) - 5*g(k). Factor c(y).
-2*(y - 1)*(y + 3)
Let i(s) be the first derivative of s**5 - 25*s**4/2 + 185*s**3/3 - 150*s**2 + 180*s - 64. Determine l so that i(l) = 0.
2, 3
Let l(g) be the second derivative of 5*g**7/42 - g**6/10 - 3*g**5/5 - g**4/3 + 3*g. Let l(y) = 0. Calculate y.
-1, -2/5, 0, 2
Let r(k) be the second derivative of 1/105*k**7 + 0*k**2 - 5*k + 3/50*k**5 + 0*k**3 + 1/25*k**6 + 0 + 1/30*k**4. Solve r(v) = 0.
-1, 0
Suppose 4*l + 0*l = 12. Let s be (-1)/(-3) - (-66)/18. Factor -h**2 - h**s + 4*h**3 + 2*h**l - 4*h**3.
-h**2*(h - 1)**2
Suppose 1/2*p**3 + 2/3*p**2 - 2/3*p + 0 = 0. What is p?
-2, 0, 2/3
Let o = 92/5 - 179/10. Let u = -2 - -2. Determine w, given that u*w + 0 + 1/2*w**2 + o*w**4 - w**3 = 0.
0, 1
Determine t, given that 0 - t - 4*t**2 - 4 - 4 - 11*t = 0.
-2, -1
Let u(m) = -m - 4. Let h be u(-6). Let 12*o**h + 48 + 4*o - 28*o - 9*o**2 = 0. What is o?
4
Factor -2/13*u**5 + 0*u**2 - 2/13*u**4 + 0*u + 4/13*u**3 + 0.
-2*u**3*(u - 1)*(u + 2)/13
Suppose 0 = 4*u - 0*m - m + 56, 4*u + 5*m = -32. Let z = -10 - u. Factor -1/2*y - y**4 - 5/2*y**z - 2*y**2 + 0.
-y*(y + 1)**2*(2*y + 1)/2
Let -24/7*z**2 + 2*z**4 + 0 + 18/7*z**3 - 8/7*z = 0. What is z?
-2, -2/7, 0, 1
Let g(y) = -y**2 - 6*y - 6. Let u be g(-5). Let k be -6*((-4)/(-6) + u). Determine h so that -k*h**3 - 2*h**4 + 4*h**4 + 2*h**4 - 2*h**5 = 0.
0, 1
Let j(f) be the first derivative of -4*f**6/15 + 14*f**5/25 + 3*f**4/5 - 14*f**3/15 - 2*f**2/5 + 7. Let j(o) = 0. What is o?
-1, -1/4, 0, 1, 2
Find n such that 2/7 + 2/7*n**2 + 4/7*n = 0.
-1
Let b(y) = -9*y**5 - 4*y**4 + 4*y**3 - y**2. Let s(n) = -28*n**5 - 12*n**4 + 12*n**3 - 4*n**2. Let h(k) = -16*b(k) + 5*s(k). Find c, given that h(c) = 0.
-1, 0, 1
What is a in 2/3*a - 1/6*a**2 - 1/2 = 0?
1, 3
Let o be (-4)/(-10) - (-28)/5. Determine i, given that o*i - 4*i + i + i**2 - 2*i = 0.
-1, 0
Let w(o) = -o**2 - 7*o - 4. Let k(x) = 6*x + 3. Let b be 1/(3*2/24). Let r(m) = b*k(m) + 3*w(m). Determine f so that r(f) = 0.
0, 1
Let t(l) = -4*l**3 - l**2 - 3*l. Let r = 16 + -22. Let n(d) = -7*d**3 - 2*d**2 - 5*d. Let b(s) = r*n(s) + 10*t(s). Determine k so that b(k) = 0.
-1, 0
Let f be -1*(2 + -1) + 5. Let s = 6 - f. Determine q, given that 4*q + s - 2 + 2*q**2 = 0.
-2, 0
Let i(z) = -5*z**4 + 3*z**3 + 2*z**2 - 3*z. Let m(o) = 14*o**4 - 8*o**3 - 6*o**2 + 8*o. Let h(q) = 8*i(q) + 3*m(q). Factor h(d).
2*d**2*(d - 1)*(d + 1)
Suppose 6 = 2*w - 0*w. Factor -w*q**3 - 4*q**2 - 2*q**4 + q**2 - q + q**4.
-q*(q + 1)**3
Suppose -3*r = -9, -3*l - 6 = -0*r - 3*r. Let a = 4 - l. Find t such that -t**2 + a*t - 2*t**3 - t**5 - t**2 + 3*t**4 - 2 + 1 = 0.
-1, 1
Suppose -2*x = -3*i - 4, -15