*2 - 5*o**5 + o**3.
-3*o**2*(o - 1)*(o + 1)**2
Let y(l) be the second derivative of 0*l**2 - 49/5*l**5 - 8/3*l**3 - 3*l + 0 - 28/3*l**4. Find v such that y(v) = 0.
-2/7, 0
Suppose 4*k + 4 = 5*k - 5*i, 0 = -2*i. Suppose -r + 2*r = 3*w + 19, 0 = -3*r + w + 17. Solve 3*p**2 - 6*p**4 + k*p**2 + r*p - p**2 - 3*p**5 - p = 0.
-1, 0, 1
Let g = 27 + -24. Suppose 0*j**3 - 2*j**2 - 2*j**3 + 3*j**3 - 3*j**g = 0. Calculate j.
-1, 0
Let d(g) be the first derivative of -4*g**5/5 + g**4 + 40*g**3 + 152*g**2 + 224*g + 16. Factor d(t).
-4*(t - 7)*(t + 2)**3
Let z(g) be the second derivative of 2/105*g**6 - 40*g - 4/7*g**2 + 1/21*g**4 + 2/7*g**3 - 3/35*g**5 + 0. Solve z(h) = 0 for h.
-1, 1, 2
Solve -32*i**3 - 206*i + 334*i - 11*i**4 + 32 - 3*i**4 + 48*i**2 = 0.
-2, -2/7, 2
Let v(m) = -m**2 + 5*m - 3. Let o be v(2). Suppose o*a = -15 + 39. Suppose 0*z**3 + 13*z**5 + 12*z**3 - a*z**2 + 15*z**5 + 48*z**4 = 0. What is z?
-1, 0, 2/7
Let c = 45487/2140 + -3/535. Let q = c - 21. Factor 5/4*y + q*y**3 - 1/2 - y**2.
(y - 2)*(y - 1)**2/4
Let l(q) be the second derivative of q**8/840 - q**7/1680 - q**6/240 + 13*q**3/3 - 9*q. Let s(b) be the second derivative of l(b). Suppose s(w) = 0. What is w?
-3/4, 0, 1
Let y(z) be the third derivative of -z**6/360 + z**5/40 + 14*z**3/3 + 43*z**2. Let n(v) be the first derivative of y(v). Factor n(f).
-f*(f - 3)
Suppose -6*d + d = 3*d. Let q(w) be the first derivative of 1/10*w**4 - 2/5*w**3 + d*w + 2/5*w**2 + 4. Factor q(s).
2*s*(s - 2)*(s - 1)/5
Let m be -12 - (4032/(-200) + 8). Let k(b) be the first derivative of 1/15*b**6 + 10 - 7/5*b**2 + m*b**5 - 16/15*b**3 - 1/5*b**4 - 4/5*b. Factor k(s).
2*(s - 2)*(s + 1)**4/5
Factor -258 - 14*r**4 + 29*r**5 - 18*r**2 - 30*r**3 - 31*r**5 + 258.
-2*r**2*(r + 1)*(r + 3)**2
Let m(n) be the third derivative of -n**6/210 - 4*n**5/105 + 19*n**4/42 - 4*n**3/3 + 134*n**2. Factor m(f).
-4*(f - 2)*(f - 1)*(f + 7)/7
Let u(w) be the third derivative of -w**7/945 - 4*w**6/135 - 13*w**5/45 - 4*w**4/3 - 3*w**3 - 22*w**2 - 1. Find j, given that u(j) = 0.
-9, -3, -1
Let h be ((-72)/594*-11)/((-6)/(-4)). Determine l, given that -4/3*l**2 - h + 2*l + 2/9*l**3 = 0.
1, 4
Let h be 6/(-21)*9/(-18). Find s, given that -h*s**2 - 3/7 + 4/7*s = 0.
1, 3
Suppose -5*p - 15 = 2*i, i = 16*p - 17*p - 3. Factor 2/7*y**4 + 2/7*y + i - 2/7*y**3 - 2/7*y**2.
2*y*(y - 1)**2*(y + 1)/7
Factor 7/2 - 1/2*y**2 - 3*y.
-(y - 1)*(y + 7)/2
Suppose 51*l = 45*l - 504. Let w be (36/(-162))/(2/l). Factor w*a + 4/3 + 8*a**2.
4*(a + 1)*(6*a + 1)/3
Let s = 2030 - 2028. Factor 0 + 14/9*n**3 - 4/9*n**s + 0*n - 10/9*n**4.
-2*n**2*(n - 1)*(5*n - 2)/9
Suppose -4*m + 23 = -2*m - 5*c, -2*m - 4*c + 68 = 0. Suppose 24*k**4 - 9*k - m*k**2 - 32*k**3 + 30*k**3 + k + 10*k**5 = 0. Calculate k.
-2, -1, -2/5, 0, 1
Factor -2/5*f**3 + 294/5 - 14/5*f - 22/5*f**2.
-2*(f - 3)*(f + 7)**2/5
Let a(r) = -3*r**2 + 13*r - 14. Let w(t) = t + 1. Let f(j) = a(j) + 2*w(j). Factor f(q).
-3*(q - 4)*(q - 1)
Let s = -463/140 - -143/28. Factor -s*d + 0*d**2 + 3/5*d**3 + 6/5.
3*(d - 1)**2*(d + 2)/5
Let w(d) be the third derivative of 0 + 2/15*d**5 + 16*d**2 + 8/105*d**7 + 0*d**3 - 1/6*d**4 + 0*d + 7/30*d**6. Factor w(h).
4*h*(h + 1)**2*(4*h - 1)
Let q be (-500)/(-330) + (-28)/21. Solve 2/11*p**3 + 0*p - q*p**4 + 0 + 4/11*p**2 = 0.
-1, 0, 2
Factor 20 - 5/4*i**3 + 139/2*i + 193/4*i**2.
-(i - 40)*(i + 1)*(5*i + 2)/4
Let a(i) = i**4 + i**3 - i. Let c(l) = 10*l**4 + 15*l**3 - 15*l**2 - 5*l. Let j(f) = 5*a(f) - c(f). Factor j(p).
-5*p**2*(p - 1)*(p + 3)
Let u(d) be the second derivative of 0*d**2 + 2/21*d**7 + 0 - 23*d + 7/3*d**4 + 2/3*d**6 + 4/3*d**3 + 9/5*d**5. Factor u(s).
4*s*(s + 1)**3*(s + 2)
Suppose 8*a + 4*g + 7 = 5*a, -4*a - 3*g = 0. Factor -11/6*q**a - 4/3 + q**2 + 1/2*q**4 + 2*q.
(q - 2)**2*(q + 1)*(3*q - 2)/6
Let z(g) = 72*g + 363. Let k be z(-5). Determine w, given that 4/3*w - w**k + 0 - 1/3*w**4 + 0*w**2 = 0.
-2, 0, 1
Suppose 3 = -3*i + 6. Let x be -3 + i + (-1 - -6). Determine s, given that -s**2 + s**3 - 2*s**4 + s**4 - 3*s**x = 0.
-1, 0
Let o = 1158 + -5782/5. Factor o*p**2 + 2/5*p**3 + 2*p + 4/5.
2*(p + 1)**2*(p + 2)/5
What is x in 32/3*x**4 - 20/3*x - 4/3*x**5 - 24*x**3 + 0 + 64/3*x**2 = 0?
0, 1, 5
Let u(d) = -d**2. Let s(l) be the third derivative of 2*l**7/105 - l**6/30 - 3*l**5/10 + l**4/6 + 4*l**3/3 + 17*l**2. Let z(m) = s(m) - 6*u(m). Factor z(a).
4*(a - 2)*(a - 1)*(a + 1)**2
Factor 0 - 2/9*u**3 + 10/9*u + 8/9*u**2.
-2*u*(u - 5)*(u + 1)/9
Let o = -1013/130 - -265/26. Factor 6/5 + o*w**2 - 3*w - 3/5*w**3.
-3*(w - 2)*(w - 1)**2/5
Let x(o) be the first derivative of o**5/15 + 5*o**4 + 150*o**3 - 6*o**2 + 24. Let s(w) be the second derivative of x(w). Factor s(i).
4*(i + 15)**2
Let y(p) = 1. Let n(i) = -i**3 - 5*i**2 + 6*i + 5. Let s be n(-6). Let l(c) = 25*c**2 - 30*c + 14. Let f(t) = s*y(t) - l(t). Find g such that f(g) = 0.
3/5
Let p = 1212/175 + -116/25. Determine h, given that -4*h - p + 4/7*h**3 - 8/7*h**2 = 0.
-1, 4
Solve 5*j**3 - 15*j - 9*j - 6*j**2 + 21*j**2 - 26*j = 0 for j.
-5, 0, 2
Let l(i) be the third derivative of i**7/42 + i**6/4 + 5*i**5/12 + 298*i**2. Factor l(j).
5*j**2*(j + 1)*(j + 5)
Let l(y) be the third derivative of -y**7/3780 - y**6/540 - 3*y**3/2 - 12*y**2. Let t(c) be the first derivative of l(c). Factor t(n).
-2*n**2*(n + 3)/9
Determine f so that 0*f - 1/3*f**4 + 0*f**3 + 3*f**2 + 0 = 0.
-3, 0, 3
Let g(a) be the first derivative of -15*a**3 + 60*a**2 - 80*a - 73. Factor g(y).
-5*(3*y - 4)**2
Let q(c) = -11*c**3 + 258*c**2 - 517*c + 3. Let g(f) = -130*f**3 + 3100*f**2 - 6205*f + 35. Let h(w) = 3*g(w) - 35*q(w). Solve h(m) = 0 for m.
0, 2, 52
Let m(u) be the first derivative of -u**6/18 + u**5/5 + 5*u**4/12 - 3*u**3 + 16*u**2/3 - 4*u - 68. Let m(f) = 0. What is f?
-3, 1, 2
Let h = -12 - -35. Let l = -13 + h. Factor -24*k**5 + 4*k**2 + 0*k**3 + l*k**5 - 6*k**3 - 24*k**4.
-2*k**2*(k + 1)**2*(7*k - 2)
Let j(g) = g**2 + 10*g + 18. Let x be j(-6). Let w be (-18)/54 - 1*2/x. Determine z, given that -2/3*z**3 + 2/3*z + w*z**2 + 0 = 0.
-1, 0, 1
Let 0 - 38/5*t**3 + 28/5*t**4 + 8/5*t**2 + 8/5*t - 6/5*t**5 = 0. Calculate t.
-1/3, 0, 1, 2
Find m, given that 0*m**4 - 504*m + 204*m**2 + 331*m**3 + 0*m**4 + 432 - 365*m**3 + 2*m**4 = 0.
2, 3, 6
Let s(q) = 2*q**2 + 36*q + 4. Let r be s(-18). Factor 43*l**3 + 3*l**2 + 12*l**5 - 19*l**3 - 18*l**3 - 21*l**r.
3*l**2*(l - 1)**2*(4*l + 1)
Let m = -49 + 46. Let z = 1 - m. Factor 21/4*i**3 + 27/2*i**2 + 15*i + 3/4*i**z + 6.
3*(i + 1)*(i + 2)**3/4
Factor -1/6*l**3 + 0 + 11/6*l**2 + 2*l.
-l*(l - 12)*(l + 1)/6
Let u(q) = 3*q**4 - 72*q**3 + 79*q**2 + 2*q - 4. Let f(s) = -25*s**4 + 575*s**3 - 635*s**2 - 17*s + 34. Let p(j) = 6*f(j) + 51*u(j). Solve p(y) = 0.
0, 1, 73
Let u(h) be the first derivative of -10*h**2 - 20 + 20/3*h**3 + 0*h - 5/4*h**4. Suppose u(b) = 0. What is b?
0, 2
Let k(b) = b**2 + 5*b - 3. Let x be k(-6). What is t in -3*t**3 + 2*t**x + 12*t**2 + 4*t**4 - 15*t**3 = 0?
0, 1, 3
Let f = 131037/7 - 18719. Let u(m) = -m**2 - 7*m - 4. Let t be u(-6). Let -4/7*d**4 + 0*d**3 - 2/7*d + 2/7*d**5 + f*d**t + 0 = 0. What is d?
-1, 0, 1
Let -4/5*o + 7/5*o**3 + 0*o**2 - 3/5*o**4 + 0 = 0. What is o?
-2/3, 0, 1, 2
Factor 9*u**5 + 15*u**3 - 1 + 1 - 11*u**5 - 7*u**3.
-2*u**3*(u - 2)*(u + 2)
Let z(b) = b**2 + 2*b - 5. Let n be z(7). Let k be 50/30 + n/(-42). Find t, given that -2/7*t + 2/7*t**2 + 0 + k*t**3 - 2/7*t**4 = 0.
-1, 0, 1
Suppose -o - 102 = v - 6*v, v - 10 = -5*o. Let a = 28 - v. Find x, given that -13*x**2 + 4*x - a*x**2 + 3*x**2 = 0.
0, 2/9
Let n(f) be the first derivative of 0*f + 4*f**2 - 8*f**3 + 9/2*f**4 - 40. Factor n(i).
2*i*(3*i - 2)**2
Let c be (209/(-6))/(-11) - 2/12. Let a(p) be the second derivative of 2/3*p**c + 0 - 1/18*p**4 - 6*p - 3*p**2. Suppose a(b) = 0. What is b?
3
Let m = 783589107/7959260 - -2/397963. Let q = m + -377/4. Solve q*h**4 - 12/5 + 12/5*h**5 - 42/5*h**3 + 12*h - 39/5*h**2 = 0 for h.
-2, 1/4, 1
Let d(f) = -f + 2. Let z = 14 - 16. Let r be d(z). Factor -4*a**4 - 4*a + a**4 + 2*a**2 + a**4 + r*a**2.
-2*a*(a - 1)**2*(a + 2)
Let c(u) be the third derivative of u**6/720 + u**5/30 + u**4/3 + 5*u**3/2 + 18*u**2. Let r(n) be the first derivative of c(n). Factor r(p).
(p + 4)**2/2
Let r = 5925 - 12117/2. Let z = 134 + r. Factor 0*d**2 + 0*d + 0 + 0*d**3 - z*d**4.
-d**4/2
Factor -2/11*z**3 -