-3*(h - 1)*(h + 4)/4
Let r(i) be the first derivative of -i**4/2 + 4*i**3/3 - i**2 - 3. Factor r(p).
-2*p*(p - 1)**2
Suppose -4*p + 5*i - 3*i + 18 = 0, p + 2*i + 8 = 0. Suppose 5*l**3 + 2*l**3 + 5*l - 4*l**3 + 6*l**2 - p*l = 0. Calculate l.
-1, 0
Factor -36*w - 8*w**3 + 8*w**3 + 4*w**4 + 8*w**3 + 12*w**2 + 12*w**3.
4*w*(w - 1)*(w + 3)**2
Let d(z) = z + 7. Let y be d(-7). Let q(p) be the second derivative of 1/3*p**3 + 0 - 1/10*p**5 + 0*p**2 + y*p**4 + p. Find l, given that q(l) = 0.
-1, 0, 1
Let v(i) be the second derivative of i**5/80 - 5*i**4/48 + i**3/3 - i**2/2 - 46*i. Solve v(g) = 0 for g.
1, 2
Factor -8*a**3 + 16*a - 18*a - 2*a**4 - 6*a**2 + 2*a**3.
-2*a*(a + 1)**3
Let b = 79 + -235/3. Let x(n) be the first derivative of -b*n**3 - 5/3*n**6 + 3 + 2*n**2 - 9/2*n**4 + 0*n + 26/5*n**5. Factor x(y).
-2*y*(y - 1)**3*(5*y + 2)
Let y be 4/(-10) - (3 + -4). Let x = -4 + 6. Find q such that -y*q**x + 1/5*q + 0 + 3/5*q**3 - 1/5*q**4 = 0.
0, 1
Let g(q) be the first derivative of q**6/14 - 3*q**5/35 - 9*q**4/14 - 2*q**3/7 + 15*q**2/14 + 9*q/7 - 9. Factor g(k).
3*(k - 3)*(k - 1)*(k + 1)**3/7
Factor -p**2 + 7*p**2 - 8*p**3 + 10*p**3 - 8.
2*(p - 1)*(p + 2)**2
Let m be (0/2)/(-22 + 19) - -2. Factor -2/3*v + 0 - 2/3*v**m.
-2*v*(v + 1)/3
Let r(n) be the third derivative of -n**9/4536 - n**8/1260 + n**6/270 + n**5/180 - n**3/3 + 2*n**2. Let g(i) be the first derivative of r(i). Factor g(d).
-2*d*(d - 1)*(d + 1)**3/3
Let r(d) = d + 12. Let k be r(-7). Let v(p) be the first derivative of 0*p + 0*p**2 + 2/15*p**3 + 2 + 2/25*p**k + 1/5*p**4. Factor v(i).
2*i**2*(i + 1)**2/5
Let x(q) be the first derivative of 0*q - 1/10*q**5 - 2/3*q**3 + 1/2*q**4 - 8 + 0*q**2. Find b such that x(b) = 0.
0, 2
Let r(k) be the third derivative of -k**6/240 + k**5/40 - k**4/16 + k**3/12 - 45*k**2. Factor r(m).
-(m - 1)**3/2
Let p = -4199/9 + 467. Let y(u) be the first derivative of 1/6*u**4 + p*u**3 - 4/3*u - 1 - 1/3*u**2. Suppose y(f) = 0. Calculate f.
-2, -1, 1
Let p(c) be the second derivative of c**7/8820 - c**6/1260 + c**4/4 - 2*c. Let d(y) be the third derivative of p(y). Solve d(j) = 0 for j.
0, 2
Let j(h) be the third derivative of 7/540*h**6 + 0*h - 1/90*h**5 - 1/315*h**7 - 6*h**2 + 2/27*h**3 - 1/36*h**4 + 0. Factor j(q).
-2*(q - 1)**3*(3*q + 2)/9
Let n(j) = -j**3 - 4*j**2 - 4*j + 2. Let r be n(-2). Suppose -4/7 - 2/7*w + 2/7*w**r = 0. Calculate w.
-1, 2
Factor -8*z**2 + 0 + 8*z + 2*z**3 + 4 - 4.
2*z*(z - 2)**2
Let g(x) be the third derivative of x**7/672 + x**6/480 - x**5/240 + x**3/3 + 3*x**2. Let q(v) be the first derivative of g(v). Solve q(b) = 0.
-1, 0, 2/5
Let p(t) be the third derivative of -t**7/1260 + t**5/360 - 10*t**2. Solve p(q) = 0.
-1, 0, 1
Let -15/4*q**2 + 0 + 9/4*q + q**3 = 0. What is q?
0, 3/4, 3
Let k(b) be the first derivative of b**6/15 - 2*b**5/25 - b**4/10 + 2*b**3/15 - 11. Find p such that k(p) = 0.
-1, 0, 1
Let v(u) be the third derivative of -u**5/360 + u**4/36 + 5*u**3/36 + 25*u**2. Determine s, given that v(s) = 0.
-1, 5
Suppose -5*y = -3 - 7. Factor 2/9*f + 4/9*f**y + 0 + 2/9*f**3.
2*f*(f + 1)**2/9
Let k(d) = -7*d**3 + 6*d**2 + 5*d - 10. Let m(w) = 6*w**3 - 6*w**2 - 4*w + 8. Let j(q) = -4*k(q) - 5*m(q). Factor j(b).
-2*b**2*(b - 3)
Let f = 7 - 2. Let a(l) = -l**5 - 17*l**4 + 7*l**2 + 11*l. Let k(g) = 3*g**5 + 42*g**4 - 18*g**2 - 27*g. Let t(r) = f*k(r) + 12*a(r). Factor t(u).
3*u*(u - 1)*(u + 1)**3
Let p = -52 - 85. Let w = -683/5 - p. Factor 0 - w*f**3 - 8/5*f**2 - 8/5*f.
-2*f*(f + 2)**2/5
Let h(j) be the first derivative of -j**8/1680 - j**7/420 + j**5/60 + j**4/24 - j**3/3 - 5. Let c(a) be the third derivative of h(a). What is x in c(x) = 0?
-1, 1
Let h(w) be the second derivative of -1/48*w**4 - w + 0 + 1/12*w**3 + 0*w**2. Determine c so that h(c) = 0.
0, 2
Let -3/5*n**2 + 0 + 3*n = 0. What is n?
0, 5
Let p(t) be the first derivative of -1/6*t**4 + t + 0*t**2 + 1 + 1/3*t**3. Let v(i) be the first derivative of p(i). Factor v(w).
-2*w*(w - 1)
Let z be (-90)/(-12)*8/10. Suppose z = 2*b + 4*i, -3*b - 3*i = b - 17. Factor -b*w - 3*w - 2*w**2 - 2 + 4*w.
-2*(w + 1)**2
Let m = 525 - 4730/9. Let v = m - -20/9. Find u such that 2/3*u**3 + v*u**2 + 1/3 + 4/3*u = 0.
-1, -1/2
Let j(p) = p - 3. Let v be j(6). Suppose 4*d + 10 = v*x, 5*d - d + 14 = 5*x. Solve -h - 7*h**x - 5*h**3 + h**2 - 3*h + 3*h**3 = 0 for h.
-2, -1, 0
Let z be 15/(-6) + 4 - 8/(-16). Determine p, given that 0*p + 0*p**z + 0 - 2/15*p**3 - 2/15*p**4 = 0.
-1, 0
Factor -2*o**5 - 3*o**4 + 4*o**3 + 4*o**2 - 1 - 2*o - 5 + 4 + o**4.
-2*(o - 1)**2*(o + 1)**3
Let m = -1 - -3. Suppose 2*f**2 + f - 6*f + 3*f - 4*f**m + 2*f**3 + 2 = 0. Calculate f.
-1, 1
Suppose -2*k + 39 = 5*h, 2*k = -3*h + 32 - 3. Suppose u - k = -2*b, -5*b - 5*u + 25 = -0*u. Factor -r**b - 2 + 2*r**3 - 4*r**2 + 6*r - r**2.
2*(r - 1)**3
Let o(t) = -36*t + 3. Let z be o(-4). Find b such that b + 9*b**3 + z*b**2 - 150*b**2 - 10*b - 3*b**4 + 6 = 0.
-1, 1, 2
Let u = 239/30 + -52/15. Let i(k) be the first derivative of -2*k**3 + 6*k - 1 + u*k**2. Factor i(h).
-3*(h - 2)*(2*h + 1)
Suppose u - 4*t = 5*u + 16, -u - 2*t = 8. Factor 1/4*h**3 + 0*h + u + 0*h**2.
h**3/4
Let z(g) be the second derivative of g**6/1620 + g**3/6 + 3*g. Let x(k) be the second derivative of z(k). Factor x(p).
2*p**2/9
Let r = 275/4 - 9617/140. Let a(t) be the first derivative of 4/7*t**2 - 4 + 5/14*t**4 - 16/21*t**3 - r*t**5 + 0*t. Determine p, given that a(p) = 0.
0, 1, 2
Let j(k) = -k**2 + 17*k + 13. Let y be j(13). Let u be -4 + 5/(75/y). Factor 4/3*n**3 + u*n**4 + 0 + 2/3*n + 5/3*n**2.
n*(n + 1)**2*(n + 2)/3
Let l = -229/6 - -79/2. Factor -l - 21*f**2 + 32/3*f.
-(7*f - 2)*(9*f - 2)/3
Suppose 0 = 2*u + 5*r - 41, 5*r - 2*r - 47 = -2*u. Suppose g + 3*i = -8, 4*g - u = 2*i + i. Factor -2/5*j**g + 2/5*j - 2/5*j**3 + 2/5*j**2 + 0.
-2*j*(j - 1)*(j + 1)**2/5
Let d(u) be the first derivative of -6*u + 2 - u**3 + 9/2*u**2. Let d(z) = 0. Calculate z.
1, 2
Find p, given that -20/3*p**3 + 8*p**2 + 14/9*p**4 - 16/9*p + 0 = 0.
0, 2/7, 2
Let f(z) be the third derivative of -z**7/945 + z**6/270 - 16*z**2. Factor f(l).
-2*l**3*(l - 2)/9
Suppose -u - 3*q - 9 = 0, -3*q = -5*u + 54 - 9. Let o(b) = b + 2. Let r be o(0). Factor u - 4 + r*d + 2*d**2 + 2*d.
2*(d + 1)**2
Let b(c) be the second derivative of c**5/20 - c**4/3 + 5*c**3/6 - c**2 + 5*c. Let b(x) = 0. What is x?
1, 2
Let g(z) be the first derivative of 3/4*z**2 + 3 + z + 1/6*z**3. Factor g(q).
(q + 1)*(q + 2)/2
Let c(m) be the second derivative of m**4/36 - m**3/9 + 2*m. Let c(i) = 0. Calculate i.
0, 2
Let u = 2/311 + 2482/933. Let n be (-4)/14*(-287)/123. Factor -8/3*v + u + n*v**2.
2*(v - 2)**2/3
Let h(z) be the third derivative of -3*z**8/784 - 11*z**7/490 - 3*z**6/140 + 3*z**5/35 + z**4/7 - 7*z**2. Find m such that h(m) = 0.
-2, -2/3, 0, 1
Suppose -4*z + 5*c + 18 = 0, 6 = -2*z - 5*c - 0. What is v in v + 0*v**3 + v + 2*v**2 + 2*v**3 - z - 4*v = 0?
-1, 1
Let n = 2 + -2. Factor 2*s**2 + n*s - 77 + 79 - 4*s.
2*(s - 1)**2
Factor 9/5 + 7/5*q**2 - 17/5*q + 1/5*q**3.
(q - 1)**2*(q + 9)/5
Let x(q) = -7*q**2 + 16*q + 5. Let a(i) = 2*i**2 - 4*i - 1. Let u(c) = 22*a(c) + 6*x(c). Find l such that u(l) = 0.
-2
Factor 1/2*t + 1/4 + 1/4*t**2.
(t + 1)**2/4
Factor 4*m - 76*m**3 + m**2 - 8*m**4 - 17*m**2 + 96*m**3.
-4*m*(m - 1)**2*(2*m - 1)
Factor 0 - 2/3*d**2 + 1/3*d + 0*d**3 + 2/3*d**4 - 1/3*d**5.
-d*(d - 1)**3*(d + 1)/3
Let v be (-43)/5 - (-4)/(-10). Let t be (v/6)/(3/(-4)). Determine h, given that -3*h**3 + t*h**5 - 2*h**4 + 3*h**2 - h**2 + h**3 = 0.
-1, 0, 1
Let n(p) be the first derivative of 1/2*p**2 + 0*p**4 - 2/5*p**5 + 0*p - 1/6*p**6 - 2 + 2/3*p**3. Find b, given that n(b) = 0.
-1, 0, 1
Factor 3*x**2 - 12*x + 0*x + 3*x**2 - 3*x**2.
3*x*(x - 4)
Suppose -36*p**4 - 72*p**3 - 218*p + 441*p - 4*p**2 + 9*p**5 - 199*p - p**5 = 0. What is p?
-1, 0, 1/2, 6
Suppose -5*y + 29 = 3*s, -13 = -5*s + 2. Suppose -12*w**5 + 5*w**2 + 5*w**2 - 8*w**3 + 4*w**5 + 6*w**3 + 2*w - 2 - 16*w**y = 0. Calculate w.
-1, 1/2
Let z(o) be the first derivative of o**5/45 - o**4/36 - o**3/27 + o**2/18 - 3. Factor z(t).
t*(t - 1)**2*(t + 1)/9
Let o(q) be the first derivative of -q**8/672 - q**7/140 - q**6/80 - q**5/120 + q**2/2 + 3. Let u(t) be the second derivative of o(t). Factor u(l).
-l**2*(l + 1)**3/2
Let f(h) be the first derivative of -9*h**6/10 - 87*h