(p) = 0. What is p?
-8, -4
Let n = -796 - -799. Let i(l) be the third derivative of 0*l**n + 3*l**2 - 1/60*l**5 + 0*l + 0 - 1/12*l**4. Factor i(v).
-v*(v + 2)
Suppose -y - 2*r + 9 = 4*y, -7*r - 15 = 2*y. Factor 9/4*s**2 - 3/2*s - 3/4*s**y + 0.
-3*s*(s - 2)*(s - 1)/4
Suppose -6*l = -4*d + 12, 3*d + 24 = -2*l + 33. Suppose -1/3 - 1/3*s**d - s**2 - s = 0. Calculate s.
-1
Let z(p) = 2*p**2 + 3 - 3*p - 4 - 2*p + 4*p. Let v be z(-1). Factor 4*q**3 - 9*q**v + 3*q - 3*q**4 + 3*q**3 + 2*q**3.
-3*q*(q - 1)**3
Let r(a) = -314*a**2 + 157*a**2 - 20 + 70*a + 167*a**2. Let n(m) = 9*m**2 + 70*m - 19. Let v(x) = 5*n(x) - 6*r(x). Factor v(w).
-5*(w + 5)*(3*w - 1)
Factor -194481/10 + 42/5*w**3 + 18522/5*w - 1/10*w**4 - 1323/5*w**2.
-(w - 21)**4/10
Let y be (2/3)/(10/45). Let b(u) be the second derivative of 0*u**y + 0 + 7*u + 1/6*u**4 + 0*u**2. Factor b(z).
2*z**2
Let q = 507 + -503. Let j(v) be the third derivative of -1/105*v**7 + 0 + 0*v**4 - 1/60*v**6 + 1/168*v**8 + 0*v + 1/30*v**5 + q*v**2 + 0*v**3. Factor j(o).
2*o**2*(o - 1)**2*(o + 1)
Let g(d) be the third derivative of 1/140*d**5 - 1/280*d**6 + 0*d + 0 + 4/7*d**3 + 9*d**2 + 5/28*d**4. Find h, given that g(h) = 0.
-2, -1, 4
Let o(l) = 13*l**2 + 79*l + 192. Let x(h) = -50*h**2 - 315*h - 765. Let m(q) = -15*o(q) - 4*x(q). Find u, given that m(u) = 0.
-12, -3
Let u(g) be the second derivative of g**5/90 - 7*g**4/54 + 8*g**3/27 + 16*g**2/9 - 145*g. Factor u(p).
2*(p - 4)**2*(p + 1)/9
Let i(p) be the first derivative of 5*p**6/6 + 4*p**5 + 5*p**4/4 - 10*p**3 + 267. Factor i(b).
5*b**2*(b - 1)*(b + 2)*(b + 3)
Let m(z) = 18*z**4 + 78*z**3 - 126*z**2 + 27*z. Let i(g) = g**4 - g**2 + g. Let k(q) = -3*i(q) - m(q). Suppose k(l) = 0. Calculate l.
-5, 0, 2/7, 1
Determine w so that 3*w**5 + 3*w**4 - 6*w**4 - 3*w**3 + 8271*w**2 + 0*w**5 - 8268*w**2 = 0.
-1, 0, 1
Let g(r) be the first derivative of -3/20*r**5 - 5/2*r**3 - r**4 + 2 - r - 3*r**2. Let z(u) be the first derivative of g(u). Solve z(i) = 0 for i.
-2, -1
Suppose 0 = -21*o + 23*o - 4. Let y(l) be the second derivative of 0*l**4 - 2*l**o + l**3 - 8*l + 0 - 1/10*l**5. Determine b, given that y(b) = 0.
-2, 1
Factor 12/5*q**3 + 0 + 2/5*q**4 + 24/5*q**2 + 16/5*q.
2*q*(q + 2)**3/5
Let x(u) = u**2 - 3*u - 6. Let g be x(-2). Factor -57*p**4 + 65*p**g + 2*p**2 + 2*p**2 - 10*p**3 - 2*p**5.
-2*p**2*(p - 2)*(p - 1)**2
Let u(i) be the first derivative of 13 - 2/25*i**5 + 0*i - 2/5*i**3 + 3/10*i**4 + 1/5*i**2. Find z, given that u(z) = 0.
0, 1
What is a in 0*a**2 - 4*a**2 - 135*a**4 + 136*a**4 = 0?
-2, 0, 2
Let n(v) be the second derivative of v**9/113400 - v**7/18900 - 3*v**4/2 - 5*v. Let a(z) be the third derivative of n(z). Factor a(i).
2*i**2*(i - 1)*(i + 1)/15
Let t(x) be the first derivative of 8/3*x + 41 + 1/9*x**3 - x**2. Suppose t(s) = 0. Calculate s.
2, 4
Suppose 117583*d - 48035004 - 3015*d**2 + 7431999 + 5*d**3 + 365986*d + 64469*d + 57977*d = 0. What is d?
201
Factor -115/2*o**3 - 325/2*o + 215/4 + 165*o**2 + 5/4*o**4.
5*(o - 43)*(o - 1)**3/4
Let d(f) = -1. Suppose 3*j + 3 + 3 = 0. Let i(v) = 5*v**2 + 15*v + 12. Let h(o) = j*d(o) - i(o). Solve h(m) = 0.
-2, -1
Let f(w) be the third derivative of -w**8/168 + w**7/35 + w**6/60 - 7*w**5/30 + 4*w**3/3 + 218*w**2. Solve f(s) = 0.
-1, 1, 2
Let z be (-26)/(-8) - 6/24. Suppose 0 = -z*o + 7 - 1. Find d, given that -9*d + 3*d**o - 39 + 39 = 0.
0, 3
Let p(d) be the first derivative of 0*d + 2/11*d**2 + 25 + 2/33*d**3. Solve p(n) = 0.
-2, 0
Let j be (23/5)/(18/(-5)). Let n = 2/9 - j. Factor 9/4*v**2 - 3/4*v**3 + 0 - n*v.
-3*v*(v - 2)*(v - 1)/4
Suppose -104/11*r + 16/11*r**4 - 48/11 + 2/11*r**5 + 18/11*r**3 - 52/11*r**2 = 0. What is r?
-6, -2, -1, 2
Factor 1/2*w**2 - 1/2*w**3 + 21/2*w - 45/2.
-(w - 3)**2*(w + 5)/2
Factor -3/4*i**2 + 15 + 57/4*i.
-3*(i - 20)*(i + 1)/4
Solve 5/3*r**2 - 2/3 - r = 0 for r.
-2/5, 1
Let i(l) = -4*l**2 + 2*l + 6. Let k(v) = -v**2 + v + 2. Suppose -5*j + 3*j = -190. Let q be ((-16)/(-10))/(38/j). Let m(y) = q*i(y) - 14*k(y). Factor m(z).
-2*(z + 1)*(z + 2)
Let k(q) be the third derivative of -q**6/360 - q**5/9 + 23*q**4/72 + 7*q**3/3 + q**2 + 124. Factor k(b).
-(b - 2)*(b + 1)*(b + 21)/3
Suppose 0 = -2*p - 2*w - 0*w + 26, -2*p = -4*w - 38. What is t in 0*t**3 + 5*t**3 - p*t**2 - 25*t**2 = 0?
0, 8
Let i(m) be the third derivative of 1/315*m**7 + 0 + 1/18*m**4 + 5*m**2 - 1/18*m**5 - 1/504*m**8 + 1/60*m**6 + 0*m**3 + 0*m. Find u such that i(u) = 0.
-2, 0, 1
Let m = -22 + 24. Factor 4*v**4 + 9*v**4 + m*v**2 - 5*v**4 + 998*v**3 - 1008*v**3.
2*v**2*(v - 1)*(4*v - 1)
Factor -3*p**4 - 12 - 13*p - 18*p**3 + 2*p - 39*p**2 - 7*p - 22*p + 4*p.
-3*(p + 1)**2*(p + 2)**2
Let y be 2/15*18/8. Let i = y + 1/5. Factor -4*d + 3/2*d**2 - i*d**4 + d**3 + 2.
-(d - 2)*(d - 1)**2*(d + 2)/2
Factor -4*l**2 - 3*l + 7*l + 6*l**2 + 2.
2*(l + 1)**2
Let h = 2 + -8. Let z(n) = 2*n**3 - n**2 + 7*n - 8. Let x(j) = 6*j**3 - 4*j**2 + 21*j - 23. Let l(y) = h*x(y) + 17*z(y). Let l(c) = 0. Calculate c.
1/2, 1, 2
Let b(y) = 3*y**4 + y**3 - y**2 - 2*y. Let v(o) = -25*o**4 - 74*o**3 - 1081*o**2 + 16*o. Let z(d) = 24*b(d) + 3*v(d). What is j in z(j) = 0?
-33, 0
Let z be 138/(-230) - -3*1/5. Let i(v) be the first derivative of 1/2*v**4 - 1/2*v**2 - 1/6*v**6 + z*v + 0*v**5 + 4 + 0*v**3. Factor i(o).
-o*(o - 1)**2*(o + 1)**2
Let o(l) be the first derivative of l**4/16 + l**3/3 - l**2/8 - l - 391. Factor o(h).
(h - 1)*(h + 1)*(h + 4)/4
Let f = -104 - -111. Suppose 0 = 5*a + 4*m - f*m - 1, 13 = -a + 5*m. Let -2/3 - 8/3*u**3 + 2/3*u**a + 8/3*u = 0. What is u?
-1, 1/4, 1
Let i = 31 + -29. Factor -18*p**4 + 13*p**4 - 5*p**i - 10*p**2 - 20*p**3.
-5*p**2*(p + 1)*(p + 3)
Let q(l) be the second derivative of l**7/13860 + l**6/1980 - l**5/220 + l**4/12 + 12*l. Let i(x) be the third derivative of q(x). Factor i(t).
2*(t - 1)*(t + 3)/11
Let r(c) be the first derivative of 16*c**3/3 + 7*c**2 - 30*c - 150. Suppose r(d) = 0. What is d?
-15/8, 1
Factor 4/7*r**4 + 48/7*r**3 + 72/7*r + 0 + 116/7*r**2.
4*r*(r + 1)*(r + 2)*(r + 9)/7
Let d be (-1)/(-4) + (-1)/(-2). Suppose 5 + 5 = 2*m - 5*w, 0 = 3*w + 6. Suppose m - d*y**2 + 0*y = 0. Calculate y.
0
Let t(v) = -2*v**2 - 24*v + 92. Let r be t(-15). Determine y, given that 0 + 4/3*y + 2/3*y**3 - r*y**2 = 0.
0, 1, 2
Let -512/7 - 576/7*q + 82*q**3 + 66/7*q**4 + 2/7*q**5 + 446/7*q**2 = 0. What is q?
-16, -1, 1
Let m(u) be the first derivative of u**4/8 + u**3/6 - 7*u**2/2 - 12*u + 185. What is t in m(t) = 0?
-3, -2, 4
Let a be 4/12 - 4/6 - 33. Let i = -33 - a. Solve -i - 2/3*b**3 + b - 1/3*b**5 + b**4 - 2/3*b**2 = 0.
-1, 1
Let i = -18 - -20. Solve -24*u**2 + 50*u**2 - 24*u**i = 0 for u.
0
Let s(v) be the third derivative of -2/1365*v**7 + 1/2184*v**8 + 0*v + 1/195*v**5 - 1/156*v**4 + 0*v**6 + 0*v**3 + 0 + 8*v**2. Let s(q) = 0. Calculate q.
-1, 0, 1
Let b(g) be the first derivative of g**4 - g**3 - 7*g**2/2 - 2. Let i(l) = -2*l**3 + 2*l**2 + 4*l. Let s = 25 - 31. Let v(r) = s*b(r) - 11*i(r). Factor v(h).
-2*h*(h + 1)**2
Let i(o) be the third derivative of 4*o**2 + 0*o + 1/12*o**3 - 1/96*o**4 - 1/240*o**5 + 0. Factor i(w).
-(w - 1)*(w + 2)/4
Let j(i) be the third derivative of 5*i**8/1232 - 16*i**7/1155 - 2*i**6/15 - 31*i**5/110 - 47*i**4/264 + 5*i**3/33 + 678*i**2. Find o such that j(o) = 0.
-1, 2/15, 5
Let c = -2/1763 + 3544/15867. Factor c*o**2 + 0 - 8/9*o.
2*o*(o - 4)/9
Let f(r) be the first derivative of r**4/30 + 11*r**3/15 - 12*r**2/5 - 21*r - 21. Let j(b) be the first derivative of f(b). Solve j(m) = 0.
-12, 1
Let z(d) be the second derivative of -d**7/105 + d**6/75 + d**5/10 + d**4/10 - 35*d. Factor z(y).
-2*y**2*(y - 3)*(y + 1)**2/5
Let o = -29 - -49. Suppose o - 8 = 6*a. Solve 2/11*t**a - 2/11*t**3 + 0*t + 0 = 0 for t.
0, 1
Find z, given that 412/13*z + 414/13 - 2/13*z**2 = 0.
-1, 207
Factor 1/4*a**3 + 49/2 + 4*a**2 + 77/4*a.
(a + 2)*(a + 7)**2/4
Let n(s) be the second derivative of 0 + 1/5*s**3 + 1/24*s**4 - 2*s + 1/5*s**2. Determine y, given that n(y) = 0.
-2, -2/5
Let f(g) be the third derivative of 1/28*g**4 - 3/14*g**3 + 0 + 0*g + 1/140*g**5 - 35*g**2. Factor f(s).
3*(s - 1)*(s + 3)/7
Let g(f) = f**3 + 11*f**2 + 20*f + 21. Let u be g(-9). Suppose -9 = -u*s + x - 4*x, -5*s + 15 = -2*x. Factor -1/3*y**s - y - y**2 - 1/3.
-(y + 1)**3/3
What is r in 4/7*r - 10/7*r**4 - 4/7*r**3 + 0 + 10/7*r**2 = 0?
-1, -2/5