 639*t = 0. Factor 0 + 0*l - 1/4*l**4 + 1/2*l**3 + t*l**2.
-l**3*(l - 2)/4
Let f = 479/36768 - 1/383. Let o(p) be the third derivative of 0*p + f*p**4 + 2*p**2 + 0 + 1/120*p**5 + 1/480*p**6 + 0*p**3. Solve o(g) = 0 for g.
-1, 0
Let a(z) be the first derivative of 1/21*z**3 + 1/84*z**4 + 0*z**2 + 7 - 5*z. Let f(t) be the first derivative of a(t). Factor f(s).
s*(s + 2)/7
Let p(y) be the first derivative of 9/2*y**2 + 0*y + 1/2*y**3 - 3/8*y**4 + 32. Find v such that p(v) = 0.
-2, 0, 3
Let p(r) be the third derivative of r**5/135 + 7*r**4/54 + 4*r**3/9 + 41*r**2 + 2. Suppose p(v) = 0. What is v?
-6, -1
Let y(c) be the first derivative of -c**5/165 - 7*c**4/264 - c**3/22 + 11*c**2/2 - 11. Let q(f) be the second derivative of y(f). Factor q(o).
-(o + 1)*(4*o + 3)/11
Let a be 13/(-182)*7 - 15/(-6). Find c such that 4/3*c**a + 0 + 4/3*c**4 + 0*c - 8/3*c**3 = 0.
0, 1
Let j(h) = 5*h**2 - 211*h + 230. Let n(c) = -3*c**2 + 140*c - 152. Let w(k) = 5*j(k) + 8*n(k). Solve w(p) = 0 for p.
-66, 1
Suppose 75*o = -35*o - 25*o - 61*o. Suppose 4/5*l**3 + 1/5*l**4 + 0 + o*l + 3/5*l**2 = 0. What is l?
-3, -1, 0
Let i = -6 - -9. Suppose 0 = -i*u - 5*h + 169, 3*u - 6*u + 5*h = -119. Factor -4*x**3 + 2 - 36*x**2 - u*x + 12*x**2 - 34.
-4*(x + 2)**3
Suppose 617 - 767 = -25*s. Let l(v) be the second derivative of -3/40*v**5 - 5*v + 0 + 1/3*v**3 + 1/6*v**4 - 1/30*v**s + 0*v**2 + 1/84*v**7. Factor l(f).
f*(f - 2)**2*(f + 1)**2/2
Let y(p) be the third derivative of -p**8/131040 + p**7/10920 - p**6/2340 - p**5/15 - 8*p**2. Let s(w) be the third derivative of y(w). Factor s(v).
-2*(v - 2)*(v - 1)/13
Let f(m) be the first derivative of 2*m**3/3 - 27*m**2 + 52*m - 37. Let f(a) = 0. Calculate a.
1, 26
Let o(b) = 3*b - 1. Let f be o(2). What is t in 0*t**4 - t**3 - t**4 + 25*t**2 - 24*t**2 + t**f = 0?
-1, 0, 1
Let q(z) be the second derivative of -z**4/6 + 40*z**3 - 3600*z**2 - z - 18. Factor q(y).
-2*(y - 60)**2
Let a(o) be the first derivative of 9*o**4/4 + 13*o**3 + 27*o**2 + 24*o - 42. Factor a(n).
3*(n + 1)*(n + 2)*(3*n + 4)
Let u be 1/((-8)/28 - (-1668)/448 - 3). Suppose u*p + 6/7*p**2 + 8/7 = 0. Calculate p.
-2, -2/3
Let s = 32 + 16. Let c be (26/234)/(2/s). Factor c*i**5 + 2/3*i - 2*i**3 + 4/3*i**2 + 0 - 8/3*i**4.
2*i*(i - 1)**2*(2*i + 1)**2/3
Suppose 372*b = -359 + 931 + 544. Suppose -1/3*q**5 + 2/3 + 2/3*q**b - 1/3*q + 2/3*q**4 - 4/3*q**2 = 0. What is q?
-1, 1, 2
Let u(s) = 7*s**2 - 6*s + 9. Suppose n + n - 4*c = 2, 5*n + 2*c = 5. Suppose -6 = w - n. Let x(v) = 6*v**2 - 6*v + 9. Let o(q) = w*u(q) + 6*x(q). Factor o(f).
(f - 3)**2
Let m(t) be the second derivative of t**5/30 + t**4/12 + 11*t**2/2 + t. Let n(r) be the first derivative of m(r). Factor n(j).
2*j*(j + 1)
Let s = -8270 + 8273. Factor -1/4*w**4 + 0 - 1/2*w**2 + 0*w + 3/4*w**s.
-w**2*(w - 2)*(w - 1)/4
Let r = -461 + 463. Let u(a) be the third derivative of 3/8*a**4 + 0*a + a**3 - 3/40*a**6 - 1/70*a**7 - 1/20*a**5 + 0 - 2*a**r. Suppose u(y) = 0. What is y?
-2, -1, 1
Let z(g) = 5*g**2 - 460*g + 5300. Let s(t) = -2*t**2 + 230*t - 2651. Let f(m) = 5*s(m) + 3*z(m). Factor f(j).
5*(j - 23)**2
Let y(g) = -3*g**3 - 14*g**2 + g + 16. Let l(q) = q**3 - 2*q**2 + q. Let t(u) = 2*l(u) + 2*y(u). What is b in t(b) = 0?
-8, -1, 1
Let n = 2/9671 - -19316/125723. Factor -4/13*g - 2/13 - n*g**2.
-2*(g + 1)**2/13
Let m = -78 - -81. Let v(d) be the third derivative of -1/140*d**6 - 1/1176*d**8 + 0*d + 0 + 0*d**m - 1/245*d**7 - 5*d**2 + 0*d**4 - 1/210*d**5. Factor v(l).
-2*l**2*(l + 1)**3/7
Let b(x) = -2*x**3 - 14*x**2 + 7*x - 70. Let y be b(-8). Find r such that 1/4*r**y + 1/4 - 1/2*r = 0.
1
Factor 2*n**3 - 19*n - 28*n**2 + 8*n - 32*n - 21*n.
2*n*(n - 16)*(n + 2)
Let b(x) be the first derivative of -4*x**3/3 + 18*x**2 - 56*x + 24. Factor b(d).
-4*(d - 7)*(d - 2)
Let b(p) be the third derivative of -2/15*p**5 - 1/168*p**8 - 1/10*p**6 + 0*p - 4/105*p**7 - 1/12*p**4 + 0*p**3 + 0 + 18*p**2. Factor b(a).
-2*a*(a + 1)**4
Let p be (-84)/(-21) - (0 + (-17)/(-18))*4. Factor -4/3*c + 0 + p*c**2.
2*c*(c - 6)/9
Let y(u) be the first derivative of u**4/10 - 14*u**3/15 + 8*u**2/5 + 32*u/5 + 67. Suppose y(k) = 0. Calculate k.
-1, 4
Let h(g) be the third derivative of 0 + 0*g**3 - 5*g**2 - 1/30*g**5 - 1/60*g**6 + 1/12*g**4 + 1/105*g**7 + 0*g. Determine c so that h(c) = 0.
-1, 0, 1
Suppose -3*o + 49 + 8 = -3*g, 3*o = -g + 37. Suppose -3*s - 2 - 4 = 0, o = 3*a - s. Factor 5*c**2 + 2*c - 3*c**2 - 6 + a - 2*c**3.
-2*(c - 1)**2*(c + 1)
Let o be (-1 - 2)/(8/(-88)). Suppose 9*d + 6 = o. Factor -10/7*n - 8/7*n**4 + 4/7*n**2 + 4/7 + 8/7*n**d + 2/7*n**5.
2*(n - 2)*(n - 1)**3*(n + 1)/7
Let z(w) = -w + 12. Let d be z(14). Let h = d - -30. What is u in -26*u**2 + 2 - 8*u + 4 + h*u**2 = 0?
1, 3
Let y be 5*24/(-80) - (-18)/4. Factor -11*o**2 - 5*o**4 + 7*o**2 + 3*o**3 + 17*o**y - 16*o**2.
-5*o**2*(o - 2)**2
Let z be 737 - -8 - (-1 - -1). Determine h, given that z*h - 745*h - h**2 = 0.
0
Let w(f) be the third derivative of -2*f**7/105 - 3*f**6/10 - 7*f**5/5 - 19*f**4/6 - 4*f**3 + 8*f**2 + 3*f. Factor w(q).
-4*(q + 1)**3*(q + 6)
Suppose -2*s - 3*x = 16, 0 = 5*s - 2*x - 2*x - 6. Let t be 438/70 + -5 + s/5. Factor 2/7*q**3 + t*q - 6/7*q**2 - 2/7.
2*(q - 1)**3/7
Let u = -61 - -63. Find p, given that 4 - u*p**2 - 3*p + 6*p - 2 - 3 = 0.
1/2, 1
Let c(y) be the second derivative of -y**5/70 + 5*y**4/42 - 4*y**3/21 + 2*y + 15. Let c(n) = 0. Calculate n.
0, 1, 4
Suppose -8/11*f**5 - 6/11*f**4 + 2/11*f**3 + 0*f**2 + 0 + 0*f = 0. What is f?
-1, 0, 1/4
Let t = 233 - 229. Let d(p) be the second derivative of 5*p + 1/66*p**t + 0*p**2 + 0 + 0*p**3 - 1/110*p**5. Solve d(l) = 0.
0, 1
Let r(f) be the third derivative of -f**5/90 - 11*f**4/2 - 1089*f**3 + 463*f**2. What is j in r(j) = 0?
-99
Let f be -2 + 1/((-2)/(-44)). Determine r, given that -22*r**3 + 37*r**3 - f*r**3 = 0.
0
Let s(j) be the third derivative of 0 + 2/3*j**3 - 7/12*j**4 + 1/105*j**7 + 0*j - 1/12*j**6 + 3/10*j**5 + 16*j**2. Factor s(a).
2*(a - 2)*(a - 1)**3
Let z = -11/51 - -211/952. Let j(y) be the third derivative of z*y**8 + 0*y**3 + 0*y**5 + 0*y + 0*y**4 + 11*y**2 - 1/60*y**6 + 0 + 0*y**7. Factor j(k).
2*k**3*(k - 1)*(k + 1)
Find w such that 16/7*w**2 - 72/7 + 4/7*w**3 - 60/7*w = 0.
-6, -1, 3
Let l(f) = f**3 - 7*f**2 - 14*f - 34. Let b be l(9). Let 6 + 2/3*p**b - 20/3*p = 0. What is p?
1, 9
What is p in -37*p**2 - 7*p**2 + 4*p - 2*p**2 = 0?
0, 2/23
Factor 0 + 0*k + 2/7*k**4 + 4*k**3 - 30/7*k**2.
2*k**2*(k - 1)*(k + 15)/7
Let g(l) = -2*l**3 + 2*l**2 - l. Let j be g(2). Let r(a) = a**3 + 9*a**2 - 10*a. Let b be r(j). Let b*o**3 + o**3 + 5*o**2 + 7*o + 11 - 8 = 0. Calculate o.
-3, -1
Let p(k) be the third derivative of k**8/1680 - k**6/360 + 2*k**3/3 + 5*k**2. Let d(z) be the first derivative of p(z). Suppose d(l) = 0. Calculate l.
-1, 0, 1
Suppose 216*g + 15 = 219*g. Let b(i) be the first derivative of -4/45*i**g - 1/27*i**6 + 1/9*i**2 + 0*i**4 + 1 + 4/27*i**3 + 0*i. Find j, given that b(j) = 0.
-1, 0, 1
Let q be 112/24 + 2/(-3). Let l = 6 - q. Factor 4*p**3 - 17*p + 13*p - p**3 + 9*p**l + 10*p.
3*p*(p + 1)*(p + 2)
Suppose -32/3 - 56/3*y - 154/3*y**3 + 8*y**4 + 248/3*y**2 = 0. Calculate y.
-1/4, 2/3, 2, 4
Find z, given that 3640/3*z + 8/3*z**5 + 3692/3*z**2 + 190/3*z**4 + 478*z**3 + 400 = 0.
-10, -2, -1, -3/4
Let t(l) be the first derivative of -l**4/4 - 14*l**3/3 + l**2 + 32*l - 25. Let z be t(-14). Factor 0*c**3 - 18/5*c**2 + 96/5*c**z + 3/5*c + 0.
3*c*(2*c + 1)*(4*c - 1)**2/5
Let b(w) be the third derivative of -w**6/480 - w**5/120 + w**4/32 + 122*w**2. Factor b(g).
-g*(g - 1)*(g + 3)/4
Let d = 2164 + -2161. Let l(p) be the third derivative of 0*p**4 + 0 + 0*p + 10*p**2 - 1/480*p**6 + 0*p**d + 1/240*p**5. Determine q, given that l(q) = 0.
0, 1
Let t = -59/28 + 20/7. Let s(z) be the first derivative of -1/2*z**3 - t*z**2 + 0*z + 1. Find a such that s(a) = 0.
-1, 0
Suppose -64 = -v - 3*v. Factor 3*i**4 - v*i**3 + 3*i**4 + 12*i**3 - 3*i - 6*i**2 + 7*i.
2*i*(i - 1)*(i + 1)*(3*i - 2)
Let c(t) be the third derivative of -11/32*t**4 + 0*t - 1/160*t**6 + 5/8*t**3 + 0 - 29*t**2 + 7/80*t**5. Factor c(g).
-3*(g - 5)*(g - 1)**2/4
Let d(n) be the first derivative of -n**6/24 - n**5/20 + 11*n**4/16 - 7*n**3/12 - 5*n**2/4 + 2*n - 786. What is s in d(s) = 0?
-4, -1, 1, 2
Let m(l) be the second derivative of 0*l**4 - 1/23