0 + z**4/18 + 2*z**3/3 + 1. Let p(l) be the third derivative of q(l). What is r in p(r) = 0?
-2, -1
Let s(q) be the first derivative of -q**4 + 8*q**3/3 + 4. Factor s(d).
-4*d**2*(d - 2)
Suppose 0 = q - 7*q + 2*q. Factor 375/2*h**5 + 192*h**2 + 24*h + 540*h**3 + 600*h**4 + q.
3*h*(h + 2)*(5*h + 2)**3/2
Let m(d) = -12*d**2 - 18*d - 9. Let l(j) = -j**4 - j**3 - j**2 - j - 1. Suppose -5*u - x = -2, u + 5*x = -10 - 4. Let v(z) = u*m(z) - 3*l(z). Factor v(r).
3*(r - 2)*(r + 1)**3
Let t(c) be the third derivative of -c**7/42 + c**5/4 - 5*c**4/12 - 8*c**2. Let t(r) = 0. Calculate r.
-2, 0, 1
Let d(q) = -q - 2. Let y(w) = -5*w**3 - 20*w**2 - 17*w - 4. Let j(p) = 2*d(p) - y(p). Factor j(b).
5*b*(b + 1)*(b + 3)
Let m = 6 - 1. Determine p, given that -2*p**2 + 2*p**3 + 4*p**4 - 7*p**m + 9*p**5 + 2*p**2 = 0.
-1, 0
Let f(h) = 3*h**2 + 32*h - 64. Let q(m) = 2*m**2 + 16*m - 32. Let b(k) = 4*f(k) - 7*q(k). Determine o, given that b(o) = 0.
4
Suppose -2*u + 12 = 2*u. Let q(z) be the first derivative of -1 + 1/15*z**5 + 0*z**2 + 1/9*z**u - 1/6*z**4 + 0*z. Solve q(t) = 0 for t.
0, 1
Let p(r) be the first derivative of 1 - 2/3*r**3 - 2*r**2 + 2/5*r**5 + r**4 + 0*r. Let p(w) = 0. Calculate w.
-2, -1, 0, 1
Let s(a) = a**2 - 2*a - 3. Let d(u) = -3*u - 3. Suppose 5 = -3*j - 1. Let z(y) = j*d(y) + 3*s(y). Factor z(v).
3*(v - 1)*(v + 1)
Let f(d) be the third derivative of 1/15*d**3 - 1/150*d**5 + 0*d**4 + 0*d + 3*d**2 + 0. Factor f(u).
-2*(u - 1)*(u + 1)/5
Let w(p) be the second derivative of -p**4/15 + 7*p**3/30 + p**2/5 + 2*p. Solve w(j) = 0.
-1/4, 2
Let z(q) be the third derivative of 7*q**2 - 3/4*q**3 + 0 + 1/8*q**4 + 0*q + 1/40*q**5. Factor z(s).
3*(s - 1)*(s + 3)/2
Let i be (-3)/(-6) + (-30)/(-4). Suppose -3*c = -5*c + i. Let -a**c + 2*a**4 - 3*a**4 - a**4 - 3*a**5 = 0. What is a?
-1, 0
Let n(f) be the first derivative of -4*f**3/15 - 2*f**2 - 16*f/5 - 21. Find s, given that n(s) = 0.
-4, -1
Factor -8/9*p + 2/9*p**2 + 2/3.
2*(p - 3)*(p - 1)/9
Let b be 4*2*9/24. Factor -4*s**2 - 2*s - 2*s**4 - s + 6*s - 2*s + 5*s**b.
-s*(s - 1)**2*(2*s - 1)
Determine c, given that 208*c**3 - c - 205*c**3 - 2*c = 0.
-1, 0, 1
Let p(l) be the first derivative of l**5/30 + l**4/8 + l**3/6 + l**2/12 - 7. What is v in p(v) = 0?
-1, 0
Let t(w) = -5*w**2 - 5*w + 3. Let a(n) = 5*n**2 + 6*n - 2. Let p(c) = 7*a(c) + 6*t(c). Suppose p(h) = 0. What is h?
-2, -2/5
Let z be (2/(-8))/(9/(-18))*6. Let v(h) be the second derivative of 0 - 11/36*h**4 + 2*h - 1/9*h**z + 0*h**2. Determine w, given that v(w) = 0.
-2/11, 0
Let a(r) = -7*r**2 - 2*r. Suppose m = 5*m - 12. Suppose -4*z = -5*f + 4, m*z - 5*z = f + 2. Let n(j) = j**2. Let l(i) = z*a(i) - 5*n(i). Factor l(w).
2*w*(w + 1)
Factor -1/8*y**3 + 0 - 1/4*y**2 - 1/8*y.
-y*(y + 1)**2/8
Let -10*z**2 - 24*z - 21*z**3 - 14*z**2 - 17*z**2 - 4 = 0. Calculate z.
-1, -2/3, -2/7
Let w be 5/(1 - (13 - 3)). Let d = 17/9 + w. Solve -d*j**3 + 2/3*j + 2/3*j**5 + 2/3 + 2/3*j**4 - 4/3*j**2 = 0 for j.
-1, 1
Let w(u) be the first derivative of u**8/840 - u**7/210 + u**5/30 - u**4/12 - u**3/3 + 2. Let o(z) be the third derivative of w(z). Solve o(q) = 0 for q.
-1, 1
Let 375*w**5 + 975*w**4 + 456*w**2 + 960*w**3 + 528/5*w + 48/5 = 0. Calculate w.
-1, -2/5
Let i(m) be the third derivative of -m**6/900 - m**5/300 + m**4/30 - m**3/3 - 6*m**2. Let w(o) be the first derivative of i(o). Find d, given that w(d) = 0.
-2, 1
Factor -20*c**2 + 13*c + 2*c + 99*c**3 - 94*c**3.
5*c*(c - 3)*(c - 1)
Let b(x) = 4*x**4 + 2*x**3 - 2*x**2 + 2*x - 2. Let h(z) = 4*z**4 + z**3 - 3*z**2 + 3*z - 3. Let f(o) = 3*b(o) - 2*h(o). Factor f(q).
4*q**3*(q + 1)
Suppose -3*j + 6*j = 18. Suppose -2*l = -4, -o - o + l = -j. Factor 4*u**4 + 2*u**5 - 3*u**o + u**4.
2*u**4*(u + 1)
Determine w, given that 15*w**2 - 9*w**2 + 1 - 7*w**2 = 0.
-1, 1
Let i(b) = 3*b**4 - 3*b**3 - 3*b**2 + 9*b - 6. Let h(d) = -d**4 + d**2 - d + 1. Let q(p) = 6*h(p) + i(p). Factor q(y).
-3*y*(y - 1)*(y + 1)**2
Let w(v) be the third derivative of v**9/30240 + v**8/10080 - v**5/30 - 2*v**2. Let b(q) be the third derivative of w(q). Factor b(p).
2*p**2*(p + 1)
Let o(h) be the first derivative of 1/60*h**4 + 1/30*h**3 - 1 + 0*h - h**2 + 1/300*h**5. Let d(k) be the second derivative of o(k). Factor d(f).
(f + 1)**2/5
Let p(s) = s + 10. Let y be p(-8). Factor 3*t**3 + 7*t + 2 - t**3 - t - 4*t**y + 10*t**2.
2*(t + 1)**3
Factor -4/3*d**5 + 0*d - 4/3*d**3 + 8/3*d**4 + 0*d**2 + 0.
-4*d**3*(d - 1)**2/3
Let h = 92 - 88. Factor -3/5*u**2 - 9/5*u**h + 9/5*u**3 + 0 + 3/5*u**5 + 0*u.
3*u**2*(u - 1)**3/5
Factor -1/2*m**2 + 0 - 1/8*m**5 - 3/4*m**3 - 1/2*m**4 - 1/8*m.
-m*(m + 1)**4/8
Let u be (10/15)/((-1)/(-2)). Factor -u*p - 2/3*p**2 + 2*p**4 + 8/3*p**3 + 0.
2*p*(p + 1)**2*(3*p - 2)/3
Let u be (-6839)/(-14) - 1/(-2). Let t = u - 2429/5. Factor 686/5*g**3 + 168/5*g + 588/5*g**2 + t.
2*(7*g + 2)**3/5
Let x be (10 - 3) + 3/2*-2. Suppose 0*n + 0*n**2 + 0 + 7/3*n**x + 2/3*n**3 = 0. Calculate n.
-2/7, 0
Let b(n) be the second derivative of -2*n**7/7 + 2*n**6/15 + 2*n**5/5 + 13*n. Determine s, given that b(s) = 0.
-2/3, 0, 1
Factor -25/2*c - 125/4 - 5/4*c**2.
-5*(c + 5)**2/4
Let r be (-2)/(-12) - (-4)/(-24). Let b(t) be the first derivative of -2/21*t**3 + 0*t**2 + r*t + 2. Factor b(w).
-2*w**2/7
Suppose -3*w = -2*f - 15 - 14, 4*f - 5*w = -53. Let p(y) = -y**3 - 6*y**2 + 6*y - 4. Let a be p(f). Factor 0*u**2 + 0 + 2/5*u**a - 2/5*u.
2*u*(u - 1)*(u + 1)/5
Suppose -3*q - 5*t + 270 = 53, 266 = 4*q + 2*t. Determine h so that q*h - 66*h - h**2 + 3*h**2 = 0.
0, 1
Suppose -4*p - 2 = -10. Suppose -p = -l - 0. Determine a, given that -8*a**l - 1/2 + 4*a = 0.
1/4
Let u(b) be the first derivative of b**7/147 - b**6/105 - 3*b**5/70 + 5*b**4/42 - 2*b**3/21 + 2*b - 2. Let r(d) be the first derivative of u(d). Solve r(t) = 0.
-2, 0, 1
Let f(v) be the first derivative of -v**5/30 + 7*v**4/24 - 5*v**3/6 + 13*v**2/12 - 2*v/3 - 46. Find b such that f(b) = 0.
1, 4
Suppose 3*f - u + 1 = 0, 5*u + 2 = 5*f + 7. Let v(w) = -w**3 + 15*w**2 - 13*w - 14. Let c be v(14). Find b, given that 2/5*b**2 + f*b + c = 0.
0
Let z(x) = 6*x**3 + 2*x**2 - 26*x - 2. Let v(f) = f**3 - f**2 - f - 1. Let p(n) = -2*v(n) + z(n). Let p(c) = 0. What is c?
-3, 0, 2
Let g(u) be the third derivative of -u**8/560 - u**7/350 + u**6/200 + u**5/100 + u**2 - 19. Factor g(y).
-3*y**2*(y - 1)*(y + 1)**2/5
Let i(q) be the first derivative of -4*q**3/9 - 5*q**2/9 + 2*q/9 - 6. Find c, given that i(c) = 0.
-1, 1/6
Find v, given that -33/8*v - 33/8*v**2 + 45/8*v**3 - 3/4 + 27/8*v**4 = 0.
-2, -1/3, 1
Let t(y) = y + 4. Let z be t(-4). Factor -1/4*v + z + 1/4*v**2.
v*(v - 1)/4
What is v in 11/5*v**2 + 11/5*v**4 + 4*v**3 + 2/5*v**5 - 4/5 - 4/5*v = 0?
-2, -1, 1/2
Let d be (-1*1)/((-6)/2). Suppose -6 = 4*y - 8*y + 2*r, 0 = 4*y - 4*r - 4. Factor 2/3 + d*p - p**y.
-(p - 1)*(3*p + 2)/3
Suppose 1 = -5*w + 11. Suppose d = w*d - 3. Factor -2/9*g**2 - 2/9*g**d + 2/9*g + 2/9.
-2*(g - 1)*(g + 1)**2/9
Let s(z) be the second derivative of -z**6/105 - 3*z**5/70 - z**4/14 - z**3/21 + 20*z. Find u such that s(u) = 0.
-1, 0
Let f be ((-24)/(-16))/(1/2). Let u = 2 + f. Factor 0 - 2/7*a**3 + 2/7*a**4 + 2/7*a**u - 2/7*a**2 + 0*a.
2*a**2*(a - 1)*(a + 1)**2/7
Factor -10/11*d - 4/11 + 6/11*d**2.
2*(d - 2)*(3*d + 1)/11
Let a be (-2)/(-5) + 86/(-240). Let p(b) be the third derivative of 1/48*b**4 + 0 + a*b**3 - 1/840*b**7 + 0*b + 2*b**2 + 0*b**5 - 1/240*b**6. Factor p(v).
-(v - 1)*(v + 1)**3/4
Let -1 - 4*g**2 - 7/2*g - 3/2*g**3 = 0. Calculate g.
-1, -2/3
Let r be ((-6)/(-15))/((-2)/(-30)). Let -40 + 21*m**3 + 34 - 15*m + r*m**2 - 6*m**3 = 0. What is m?
-1, -2/5, 1
Let i(t) be the third derivative of t**5/15 - 13*t**4/12 + 169*t**3/24 + 25*t**2 - 1. Factor i(c).
(4*c - 13)**2/4
Let m(f) be the second derivative of f**8/560 - f**7/420 - f**6/360 + f**3 - 8*f. Let t(y) be the second derivative of m(y). Solve t(v) = 0 for v.
-1/3, 0, 1
Factor -7*h**2 + 0*h**3 - 8*h**4 + 2*h + h**5 + h**5 - h**2 + 12*h**3.
2*h*(h - 1)**4
Let f be -2 + 6 + -6 - 10/(-3). Factor 0*z - 1/3*z**2 + f.
-(z - 2)*(z + 2)/3
Let h = -157 + 159. Factor 2/7*p**h + 0 + 0*p + 2/7*p**3.
2*p**2*(p + 1)/7
Let r be 1*1/(-3) + 13/13. Let -2/3*q**2 + r - 7/3*q**3 + 7/3*q = 0. Calculate q.
-1, -2/7, 1
Let v(m) = m**5 - m**3 + m**2 + m + 1. Let c(x) = 3*x**5 + x**4 + 2*x**3 + 6*x**2 + 3. 