/7*w + 2/7*w**4 + 6/7*w**3 = 0. What is w?
-1, 0
Suppose -27 = -4*p - k, 20 = 2*p + 3*p + 4*k. Let x = -5 + p. Factor 0*u - 1/2*u**x + 1/2*u**5 + 1/2*u**4 + 0 - 1/2*u**2.
u**2*(u - 1)*(u + 1)**2/2
Let q(m) = 2*m**3 + 10*m**2 + 9*m + 11. Let d(z) = -z**3 - 5*z**2 - 5*z - 5. Let y(r) = -5*d(r) - 2*q(r). Factor y(w).
(w + 1)**2*(w + 3)
Let r(s) be the second derivative of s**4/12 - 2*s**3/3 + 2*s**2 - s. Find b, given that r(b) = 0.
2
Let t(r) be the third derivative of r**6/360 - r**5/10 + 3*r**4/2 - 12*r**3 + 6*r**2. Let t(x) = 0. Calculate x.
6
Let x = -15 + 9. Let d be (8/x)/(6/(-9)). Factor 0 - 2/3*j - 8/3*j**d.
-2*j*(4*j + 1)/3
Let j(c) = -7*c**3 - 6*c**2 + 5*c + 3. Let m(h) = 10*h**3 + 9*h**2 - 7*h - 5. Let b(o) = -7*j(o) - 5*m(o). Determine r, given that b(r) = 0.
-2, 1
Let n be (-42)/18*9/6. Let c = n + 4. Factor 4 + 14*k + c*k**5 + 4*k**4 + 25/2*k**3 + 19*k**2.
(k + 1)**2*(k + 2)**3/2
Let o(d) = -3*d**3 + 8*d**2 + 2*d - 2. Let x(t) = -30*t**3 + 81*t**2 + 21*t - 21. Let f(r) = 21*o(r) - 2*x(r). Factor f(l).
-3*l**2*(l - 2)
Let a be 188/20 + (-8)/20. Suppose 0 = -2*k - 3 + a. Solve -16/7*c**2 - 36/7*c**4 + 10/7*c**5 + 4/7 - 6/7*c + 44/7*c**k = 0 for c.
-2/5, 1
Let b(l) be the first derivative of -l**8/2520 + l**7/420 - l**6/270 - l**3/3 - 3. Let o(s) be the third derivative of b(s). Factor o(u).
-2*u**2*(u - 2)*(u - 1)/3
Let h(m) be the third derivative of m**6/360 + m**5/90 - m**4/72 - m**3/9 - 6*m**2. Factor h(k).
(k - 1)*(k + 1)*(k + 2)/3
Suppose -2*f + 10 = 3*n - 6*n, -5*n - 20 = 0. Let r be (f - 1/(-1))/2. Determine m so that -1 + 2*m**3 - m + 0 + m**2 + r - m**3 = 0.
-1, 1
Let l(u) be the second derivative of -u**4/8 - 54*u. Factor l(c).
-3*c**2/2
Suppose 0 + 2/7*z - 1/7*z**2 - 1/7*z**3 = 0. What is z?
-2, 0, 1
Let z(f) be the second derivative of f**7/21 - f**6/15 - 2*f. Let z(t) = 0. What is t?
0, 1
Let j(k) be the third derivative of -k**6/140 - 4*k**5/105 - k**4/12 - 2*k**3/21 + 9*k**2. Suppose j(d) = 0. What is d?
-1, -2/3
Let d(z) be the second derivative of -z**6/6 - 3*z**5/4 - 5*z**4/6 + 18*z. Factor d(f).
-5*f**2*(f + 1)*(f + 2)
Let f(c) = -c + 13. Let u be f(10). Factor -x + u*x + 0*x - 4 + 0 + 2*x**2.
2*(x - 1)*(x + 2)
Let v(q) be the first derivative of q**6/30 - 3*q**5/25 - q**4/4 + q**3/5 + 2*q**2/5 + 32. Factor v(l).
l*(l - 4)*(l - 1)*(l + 1)**2/5
Let m be ((-1)/(-2))/((12/(-16))/(-3)). Solve 1/2*r**4 + 0*r**3 + 1/2 + 0*r - r**m = 0.
-1, 1
Suppose 10/3*t**2 - 16/3*t + 2 = 0. What is t?
3/5, 1
Let d(g) be the second derivative of 0*g**3 + 1/120*g**6 + 0*g**2 + 0*g**4 + 0*g**5 - 7*g + 0. Find m, given that d(m) = 0.
0
Let y be 1/6*153/34. Suppose 3/4*h - y*h**2 + 3/4 - 3/4*h**3 = 0. Calculate h.
-1, 1
Let 1/3*z**4 + 2/3*z - z**2 + 0 + 0*z**3 = 0. What is z?
-2, 0, 1
Suppose -6 = -5*q + 4. Factor 0*s**2 - 7*s**2 - s + s**5 + q*s**4 + 5*s**2.
s*(s - 1)*(s + 1)**3
Suppose -5*h - 3*o + 2 = 17, -2*h - 5 = o. Let z = 35/8 - 33/8. Factor h*a**3 + 1/4 + 0*a - 1/2*a**2 + z*a**4.
(a - 1)**2*(a + 1)**2/4
Let o(q) = -q**2 - q - 3. Let n(t) = -4*t**2 - 4*t - 16. Let d(i) = -3*n(i) + 16*o(i). Suppose d(f) = 0. Calculate f.
-1, 0
Let t(w) be the first derivative of -w**7/840 + w**6/360 + w**5/120 - w**4/24 - w**3/3 + 1. Let y(o) be the third derivative of t(o). Factor y(c).
-(c - 1)**2*(c + 1)
Let i be 5/(-10) + (-27)/(-6). Let c(w) be the third derivative of -1/36*w**i + w**2 + 0*w**3 - 1/45*w**5 + 0*w - 1/180*w**6 + 0. Solve c(o) = 0 for o.
-1, 0
Suppose -1 + 11 = 5*u. Let d(f) be the first derivative of -f**2 + f + 0*f**3 - 1/5*f**5 + 1/2*f**4 + u. Factor d(t).
-(t - 1)**3*(t + 1)
Determine w so that -48/7*w - 24/7*w**3 - 16/7 - 4/7*w**4 - 52/7*w**2 = 0.
-2, -1
Let o(n) be the second derivative of -n**5/50 + 7*n**4/90 - 4*n**2/15 + 29*n. Let o(p) = 0. Calculate p.
-2/3, 1, 2
Let r(s) be the second derivative of s**4/8 - 3*s**2/4 - 5*s. Solve r(g) = 0 for g.
-1, 1
Suppose 0*a = 5*a + 2*i, 4*i = 4*a - 28. Suppose -a*z + 2*y + 3 = 1, -z = -2*y. Factor 3*s + 2*s - z - 2*s**2 + 0*s - s.
-2*(s - 1)**2
Let p(s) be the first derivative of -s**7/70 + 3*s**6/40 - s**5/10 - s**2 - 4. Let u(z) be the second derivative of p(z). Factor u(n).
-3*n**2*(n - 2)*(n - 1)
Let u(p) be the third derivative of -p**6/1140 + 2*p**5/285 - p**4/76 - 14*p**2 + p. Factor u(k).
-2*k*(k - 3)*(k - 1)/19
Let k = -29/38 - -24/19. Factor -k*z**3 - z**2 + 0*z + 0.
-z**2*(z + 2)/2
Let j(b) be the third derivative of -b**5/15 - b**4/3 + 2*b**3 + 9*b**2. Factor j(v).
-4*(v - 1)*(v + 3)
Let i be 65/25 - 4/(-10). Suppose 0*u - 5*u - 3*o = 0, -o + 4 = 3*u. Suppose 2 - 2*w**i + 2*w**3 + 3*w - w**u = 0. What is w?
-1, 2
Let h(g) be the first derivative of -g**7/21 + 2*g**6/15 - g**5/10 - 4*g + 3. Let i(q) be the first derivative of h(q). Suppose i(a) = 0. What is a?
0, 1
Suppose 0 = -0*j + 2*j - 8. Suppose -j*a = -3*a. Factor 4/3 + a*m**2 + 2/3*m**3 - 2*m.
2*(m - 1)**2*(m + 2)/3
Suppose 5*g - 12 = -3*v, 0 = -3*g - v + 2*v + 10. Factor -5*y - 3*y**2 - g + 6*y**2 + 5.
(y - 1)*(3*y - 2)
Let k(m) be the third derivative of m**8/7560 + m**7/3780 - m**6/810 + m**3/6 - 9*m**2. Let j(a) be the first derivative of k(a). Factor j(q).
2*q**2*(q - 1)*(q + 2)/9
Let f(o) = o**5 + o. Let c(t) = -9*t**5 + 2*t**4 + 7*t**3 - 2*t**2 - 2*t. Let n(x) = c(x) + 2*f(x). What is r in n(r) = 0?
-1, 0, 2/7, 1
Let u(y) be the first derivative of -9*y**4/4 - 7*y**3 + 12*y + 1. Determine p, given that u(p) = 0.
-2, -1, 2/3
Let -15*f**4 + 12*f**3 - 718*f - 3*f**2 + 718*f + 6*f**5 = 0. What is f?
0, 1/2, 1
Find f such that 15*f**3 + 4*f - f**4 + 2 - f**4 - 19*f**3 = 0.
-1, 1
Let u be (-18)/(-20) + (-3)/6. Let q(a) be the first derivative of -u*a**5 + 1/2*a**2 - 1/6*a**6 + 2 + 2/3*a**3 + 0*a**4 + 0*a. What is d in q(d) = 0?
-1, 0, 1
Let z(w) be the third derivative of -w**5/120 + w**4/12 - w**3/4 + 3*w**2. Factor z(o).
-(o - 3)*(o - 1)/2
Let j(n) be the first derivative of -3/10*n**4 - 2/15*n**3 + 4/5*n + 1 + 3/5*n**2 - 2/25*n**5. Solve j(c) = 0 for c.
-2, -1, 1
Let l(n) be the first derivative of 2*n**3/3 - 3*n**2 - 8*n - 43. Determine v so that l(v) = 0.
-1, 4
Let r(p) be the third derivative of -p**7/175 - p**6/30 - 13*p**5/450 + p**4/9 - 4*p**3/45 + p**2. Factor r(a).
-2*(a + 2)**2*(3*a - 1)**2/15
Let l = 1/136 + 25/1224. Let p(n) be the third derivative of l*n**4 + 1/18*n**3 + 1/180*n**5 + 0 + 0*n + 3*n**2. Factor p(g).
(g + 1)**2/3
Suppose 11 = -4*v + 4*w - 1, v + 2*w = 12. Suppose -s**v - 2*s + 3*s + 3 + 4*s**2 - 7*s = 0. What is s?
1
Factor 0*t + 2/3*t**5 + 4/3*t**4 + 2/3*t**3 + 0*t**2 + 0.
2*t**3*(t + 1)**2/3
Let l = -1579214/135 - -11698. Let i(m) be the second derivative of 0 - 16/27*m**3 + l*m**6 + 0*m**4 + 3*m + 1/63*m**7 + 4/15*m**5 + 0*m**2. Factor i(u).
2*u*(u + 2)**3*(3*u - 2)/9
Let n(z) be the first derivative of 1/3*z**2 + 1/3*z**4 + 0*z + 5/9*z**3 - 2 + 1/15*z**5. Determine r, given that n(r) = 0.
-2, -1, 0
Let i be (((-5)/(-3))/1)/(2/6). Let l(m) be the third derivative of 1/84*m**4 + 0*m**3 - 1/210*m**i + m**2 + 0 + 0*m - 1/420*m**6 + 1/735*m**7. Factor l(f).
2*f*(f - 1)**2*(f + 1)/7
Let r be (18/21)/((-9)/(-6)). Suppose 4/7*a + 0 + 2/7*a**2 - r*a**3 - 2/7*a**4 = 0. What is a?
-2, -1, 0, 1
Let x = 1232/5 + -246. Suppose 0 = 3*b - 9. Solve 0 + 0*d + 0*d**b - x*d**2 + 2/5*d**4 = 0.
-1, 0, 1
Let o(g) = 3*g - 3. Let f be o(2). Factor -2/11*q**2 + 0 + 0*q + 2/11*q**f.
2*q**2*(q - 1)/11
Let r = 13 - 9. Let s be -5*(41/15 - 3). Solve -2/3 - 2/3*o**r + 4/3*o**3 + s*o**2 - 2/3*o - 2/3*o**5 = 0 for o.
-1, 1
Suppose 1 = 2*g + 3. Let j(l) = -l**4 - l**3 - l + 1. Let a(f) = 2*f**4 - f**3 + 3*f - 2. Let s(v) = g*j(v) - a(v). Suppose s(n) = 0. What is n?
-1, 1
Let n = 16 + -13. Let y(b) be the second derivative of 1/6*b**4 - 1/10*b**5 + 0*b**n + 0*b**2 + b + 0 - 2/15*b**6. Factor y(m).
-2*m**2*(m + 1)*(2*m - 1)
Let a(i) be the second derivative of i**5/20 - 7*i**4/12 + 5*i**3/6 + 4*i**2 - 2*i. Let u be a(6). Suppose -2/11 - 4/11*o - 2/11*o**u = 0. What is o?
-1
Let d(r) be the third derivative of -r**8/616 - r**7/105 - r**6/44 - 3*r**5/110 - r**4/66 + 7*r**2. What is l in d(l) = 0?
-1, -2/3, 0
Solve 36*w**4 + 2*w**3 - 8*w + 7*w**3 - w**3 - 36*w**2 = 0 for w.
-1, -2/9, 0, 1
Suppose -13*x + 5*x + 16 = 0. Let g(s) be the second derivative of 0*s**x + 0 + 0*s**4 + 0*s**3 - 2*s - 1/40*s**5. Solve g(a)