derivative of c(z). Factor x(d).
3*(d - 2)**2*(d - 1)*(d + 1)
Let z(n) be the first derivative of -2*n**3/39 + 4*n**2/13 - 8*n/13 + 2. Solve z(w) = 0 for w.
2
What is g in -7*g**2 - 3*g**2 + 5*g + 0*g**2 + 8*g**3 - 3*g**3 = 0?
0, 1
Let t(o) be the second derivative of -o**7/63 + o**6/15 - o**5/15 - o**4/9 + o**3/3 - o**2/3 - 16*o. Find h, given that t(h) = 0.
-1, 1
Let m = -16 + 14. Let t(i) = -i**3 - 2*i**2 - 2*i - 2. Let a be t(m). Find c, given that 1/3*c**4 - 2/3*c**5 + 0*c + 0 - 1/3*c**a + 2/3*c**3 = 0.
-1, 0, 1/2, 1
Let d = 50 - 35. Let 120*h**4 - 105*h**4 + d*h**5 - 3*h**5 + 3*h**3 = 0. Calculate h.
-1, -1/4, 0
Let c(p) be the third derivative of 1/315*p**7 - 3*p**2 + 0*p + 1/9*p**4 - 1/60*p**6 + 0 + 0*p**3 + 0*p**5. Determine b so that c(b) = 0.
-1, 0, 2
Suppose -7 = -4*l + 1. Factor -6 + l - 9*i - 4 + 2 + 15*i**2.
3*(i - 1)*(5*i + 2)
Factor 21/4*r**3 + 5/4*r**5 + 0 + 1/2*r - 17/4*r**4 - 11/4*r**2.
r*(r - 1)**3*(5*r - 2)/4
Let j(u) be the third derivative of u**8/84 + u**7/35 - u**6/30 - 2*u**5/15 + u**3/3 + 8*u**2. Suppose j(r) = 0. What is r?
-1, 1/2, 1
Let k(b) be the third derivative of -b**8/10080 + b**7/2520 - b**5/15 - 5*b**2. Let v(a) be the third derivative of k(a). Find x such that v(x) = 0.
0, 1
Let t(p) = -2*p**3 - 4*p**2 + 2*p - 2. Let j(i) = i**4 + i**2 + 1. Let q(f) = -2*j(f) - t(f). Suppose q(z) = 0. What is z?
-1, 0, 1
Factor 4*n**4 + 9*n**2 + 8*n**3 - 9*n**2.
4*n**3*(n + 2)
Let i be -2 - ((-17)/3 - -3). Let o(v) be the second derivative of -i*v**3 - 1/6*v**4 + 0 - 3*v - v**2. Factor o(m).
-2*(m + 1)**2
Let d(s) be the second derivative of s**7/84 - s**6/15 + s**5/40 + 5*s**4/12 - s**3/3 - 2*s**2 + 9*s. Suppose d(h) = 0. What is h?
-1, 2
Let n(x) be the first derivative of 17/12*x**4 - 2 + 16/9*x**3 + 1/3*x**5 + 2/3*x**2 + 0*x. Factor n(j).
j*(j + 1)*(j + 2)*(5*j + 2)/3
Let b(z) be the second derivative of -z**8/1680 + z**7/280 - z**6/120 + z**5/120 + 7*z**3/6 - 7*z. Let k(m) be the second derivative of b(m). Factor k(d).
-d*(d - 1)**3
Let y be -3 - (7 + -13) - 0/3. Factor 18/13 + 16/13*v**y + 44/13*v**2 + 48/13*v + 2/13*v**4.
2*(v + 1)**2*(v + 3)**2/13
Let u(w) be the first derivative of -w**6/15 + 2*w**5/25 + w**4/10 - 2*w**3/15 - 6. Factor u(y).
-2*y**2*(y - 1)**2*(y + 1)/5
Let j be (-1)/(-4) + (-375)/(-100). Let v(o) be the third derivative of -1/420*o**7 - 1/240*o**6 + 0*o**3 + 0 - 2*o**2 + 0*o**j + 0*o + 0*o**5. Factor v(q).
-q**3*(q + 1)/2
Factor -110/3*h**2 - 5/3*h**4 - 40*h - 15 - 40/3*h**3.
-5*(h + 1)**2*(h + 3)**2/3
Let x be (6/(-5))/((-2)/(-5)). Let j be 8/(x + 40/4). Suppose -j*h - 2/7*h**2 - 8/7 = 0. Calculate h.
-2
What is p in 2*p + 15*p**3 - 2 + 6*p**2 - p - 3*p - 4*p**4 - 13*p**3 = 0?
-1, -1/2, 1
Let y(p) be the first derivative of 7*p**6/54 + 4*p**5/15 - p**4/9 - 14*p**3/27 - p**2/6 + 2*p/9 - 6. Factor y(j).
(j - 1)*(j + 1)**3*(7*j - 2)/9
Let b be (21/(-9))/7*-9. Let m(y) be the third derivative of -2*y**2 + 0 + 1/270*y**5 - 1/270*y**6 + 0*y**4 + 0*y**b + 0*y. Determine c so that m(c) = 0.
0, 1/2
Let p(i) be the third derivative of -3*i**2 + 0 + 4/3*i**3 + 1/30*i**5 + 0*i + 1/3*i**4. Factor p(t).
2*(t + 2)**2
Let f(j) be the second derivative of j**6/15 + 3*j**5/40 - 5*j**4/24 - j**3/4 + j**2/4 + 3*j. Solve f(m) = 0.
-1, 1/4, 1
Let b(o) = 28*o**2 + 6*o + 6. Let m be b(-5). Let d = m - 6074/9. Factor 2/9*c**2 + 0 + d*c**3 + 8/9*c**4 + 0*c.
2*c**2*(c + 1)*(4*c + 1)/9
Factor -27/2*y**3 + 6*y + 24*y**2 + 0.
-3*y*(y - 2)*(9*y + 2)/2
Suppose q = 2*c - 4, 0 = 4*c + q + 4 - 18. Let i(w) be the second derivative of 1/12*w**4 + 1/6*w**2 - 2*w + 0 + 1/60*w**5 + 1/6*w**c. Factor i(y).
(y + 1)**3/3
Let r be ((-42)/8)/(6/(-4)). Solve -r*w - w**3 + 7/2*w**2 + 1 = 0 for w.
1/2, 1, 2
Let d(v) = 3*v**2 - 7*v - 23. Let o(a) be the second derivative of a**4/6 - a**3/2 - 6*a**2 - 5*a. Let s(g) = 3*d(g) - 5*o(g). Find b such that s(b) = 0.
-3
Let y(k) be the first derivative of -k**6/21 + 6*k**5/35 - k**4/7 - 4*k**3/21 + 3*k**2/7 - 2*k/7 - 21. Solve y(h) = 0.
-1, 1
Suppose -48/5*j - 243/5*j**4 - 3/5 - 138/5*j**2 + 432/5*j**3 = 0. Calculate j.
-1/9, 1
Factor 0*f - 1/2*f**4 - f**3 - 1/2*f**2 + 0.
-f**2*(f + 1)**2/2
Find b such that 3/2*b - 3/8*b**3 + 1/4*b**2 - 1 = 0.
-2, 2/3, 2
Let o(k) be the first derivative of -1/15*k**4 + 5 - 2/25*k**5 + 1/5*k**2 + 2/15*k - 1/45*k**6 + 4/45*k**3. Solve o(i) = 0.
-1, 1
Suppose 14*v - 17*v = -6. Let x(r) be the first derivative of 0*r**v - 2 - r + 1/3*r**3. Find j such that x(j) = 0.
-1, 1
Suppose 0 = r - 0*r - 3. Suppose 5*a - r = 12. Factor -c + c**a - 4*c**3 + 3*c + c.
-3*c*(c - 1)*(c + 1)
Let v = 5/44 - -7/11. Let y(q) be the first derivative of 0*q - 3/5*q**5 - 1 - 3/2*q**2 + q**3 + v*q**4. Factor y(j).
-3*j*(j - 1)**2*(j + 1)
Determine l so that -4*l**2 - l**2 - 52*l - 2*l**3 - 3*l**2 + 44*l = 0.
-2, 0
Let o(n) = -n**2 - 2*n + 19. Let y be o(-5). Factor 1/2*s**3 + 1/4*s**y - 1/2*s - 1/4*s**2 + 0.
s*(s - 1)*(s + 1)*(s + 2)/4
Let d(k) be the first derivative of k**5/20 - 3*k**4/16 + k**3/12 + 3*k**2/8 - k/2 - 8. Find w, given that d(w) = 0.
-1, 1, 2
Suppose 2*b - 3*z = 70, 0*z + 3*z = 0. Let w be 10/b - (-4)/14. Solve -2/7 - 6/7*s - w*s**2 = 0 for s.
-1, -1/2
Let 12 - 3*j**3 + 6*j**2 - 8*j**2 + 17*j**2 - 24*j = 0. Calculate j.
1, 2
Let l(p) be the first derivative of p**4/14 - 3*p**2/7 - 4*p/7 + 7. Factor l(b).
2*(b - 2)*(b + 1)**2/7
Let q = 8 + 0. Let y = 8 - q. Let 2/11*g**2 + y*g + 2/11*g**3 + 0 = 0. What is g?
-1, 0
Suppose y + 5*k = 21, 5*y - 3*y + 2*k - 26 = 0. Let h = y - 32/3. Let h*d**2 + 1/3*d + 0 = 0. What is d?
-1, 0
Let x(g) be the third derivative of g**5/150 + g**4/10 + 3*g**3/5 + 7*g**2. Factor x(i).
2*(i + 3)**2/5
Let d(j) be the second derivative of 1/39*j**4 - 1/195*j**6 + 0*j**2 + 0*j**3 + 0 + 1/130*j**5 - j. Factor d(s).
-2*s**2*(s - 2)*(s + 1)/13
Let o(s) be the first derivative of -3*s**5 - 5*s**4/2 + 80*s**3/3 - 35*s**2 + 15*s - 10. Suppose o(j) = 0. Calculate j.
-3, 1/3, 1
Let d(n) = -1 + 5*n - n - 5*n. Let k be d(-3). Find x such that -3*x**k + 0*x - 2*x + 6 - x + 0 = 0.
-2, 1
What is r in 3*r - 6*r - 4*r**2 - 5*r**3 + 3*r**3 + r = 0?
-1, 0
Suppose -2*n + 3*r - 10 = 5*r, 5*r + 25 = -4*n. Let i(d) be the third derivative of 0*d**5 + 0*d**3 - d**2 + 1/108*d**4 + n - 1/540*d**6 + 0*d. Factor i(p).
-2*p*(p - 1)*(p + 1)/9
Let f(p) be the first derivative of p**9/7560 - p**8/1400 + p**7/1050 - p**3 - 4. Let i(v) be the third derivative of f(v). Find j, given that i(j) = 0.
0, 1, 2
Determine y so that -23/8*y**3 - 1/4 - 27/8*y**2 - 13/8*y - 7/8*y**4 = 0.
-1, -2/7
Let g(j) be the third derivative of j**7/2520 + j**6/540 + j**5/360 + j**3/3 - j**2. Let k(i) be the first derivative of g(i). Solve k(n) = 0.
-1, 0
Factor 2*h**4 - 2/5*h**5 + 0*h - 12/5*h**3 + 0*h**2 + 0.
-2*h**3*(h - 3)*(h - 2)/5
Let k(f) be the third derivative of 0*f - 1/18*f**3 - 1/180*f**5 + f**2 + 0 + 1/36*f**4. Suppose k(y) = 0. Calculate y.
1
Find i, given that 8/13 + 24/13*i + 6/13*i**3 + 22/13*i**2 = 0.
-2, -1, -2/3
Let y = 1241/7 - 177. Let p = -3 - -3. Factor y*s**2 + 4/7*s**3 + 2/7*s**4 + p*s + 0.
2*s**2*(s + 1)**2/7
Let j(o) = -4*o**2 - 2*o + 8. Let u(l) = -l**2 - l + 1. Let q(y) = -j(y) + 6*u(y). Factor q(w).
-2*(w + 1)**2
Let k be -6 - (-476)/77 - 0. Factor 2/11*q**2 - 2/11 + k*q - 2/11*q**3.
-2*(q - 1)**2*(q + 1)/11
Let j(g) be the second derivative of g**5/20 + g**3/6 - g**2/2 - 2*g. Let o(b) = 3*b**3 + 6*b**2 + b - 9. Let q(z) = -j(z) + o(z). Factor q(p).
2*(p - 1)*(p + 2)**2
Suppose 0 = 5*b - 42 - 3. Suppose 3*d = -b, 0 = -3*z + d - 2*d + 6. Solve 6*x**2 - z*x**4 - 2*x**2 - 2 + x**4 = 0.
-1, 1
Let x(g) be the second derivative of -g**4/30 + g**3/5 + 4*g**2/5 + 2*g. Suppose x(b) = 0. Calculate b.
-1, 4
Let a(v) = -35*v**4 + 300*v**3 - 395*v**2 + 155*v - 25. Let z(l) = 3*l**4 - 25*l**3 + 33*l**2 - 13*l + 2. Let b(w) = 2*a(w) + 25*z(w). What is i in b(i) = 0?
0, 1, 3
Factor 13*s**3 - 2*s**3 - 3*s**2 - 3*s**3 - 7*s**3 + 3 - s.
(s - 3)*(s - 1)*(s + 1)
Let l be (-1 - -1)*4/(-8). Suppose -n + 1 + 4 = l. Let 2*z**4 + 2*z**4 + 0*z**5 - 2*z**n - 2*z**3 = 0. Calculate z.
0, 1
Suppose 2*o - c = 47, -5*o - 2*c + 0*c = -131. Let l be (20/o)/((-3)/(-10)). What is h in -8/3*h**2 + 0 - 4*h**3 - 2/3*h**5 - 2/3*h - l*h**4 = 0?
-1, 0
Let g be (-26)/195*(-2)/16. Let c(d) be the third derivative of d**