f 1 - 1/48*n**4 - 3*n + 0*n**2 + 1/12*n**3. Let b(w) be the first derivative of l(w). Determine v, given that b(v) = 0.
0, 2
Let l(p) be the third derivative of p**8/504 - 2*p**7/315 + p**5/45 - p**4/36 + 26*p**2. Factor l(w).
2*w*(w - 1)**3*(w + 1)/3
Let s(g) be the third derivative of g**8/216 + 26*g**7/945 - 17*g**6/108 + 32*g**5/135 - g**4/9 - 28*g**2. What is m in s(m) = 0?
-6, 0, 2/7, 1
Let v be 1/6 - (-536)/240. Factor 9/5*n**2 - 12/5 + 12/5*n**3 + 3/5*n**4 - v*n.
3*(n - 1)*(n + 1)*(n + 2)**2/5
Factor -7*t - 2*t**4 + 95*t**3 - 3*t**4 - 2*t**2 + 4*t**2 + t**5 + 3 - 89*t**3.
(t - 3)*(t - 1)**3*(t + 1)
Let d(p) = -p**4 - p**2. Let c(x) = x**4 + 3*x**3 - 5*x**2 - 3*x. Suppose -2*f + 2 + 0 = 0. Let u(a) = f*c(a) - 2*d(a). Factor u(h).
3*h*(h - 1)*(h + 1)**2
Let c(n) be the second derivative of 0 - 2/3*n**3 - n**2 - n - 1/6*n**4. Suppose c(k) = 0. Calculate k.
-1
Let d = -6 - -6. Let q(n) be the first derivative of 0*n + 4/15*n**3 + d*n**2 - 6/5*n**5 - 1/10*n**4 + 3. Factor q(g).
-2*g**2*(3*g - 1)*(5*g + 2)/5
Let n(a) be the first derivative of a**8/140 - 11*a**6/120 - 9*a**5/40 - a**4/4 - 2*a**3/3 - 1. Let c(s) be the third derivative of n(s). Factor c(l).
3*(l - 2)*(l + 1)*(2*l + 1)**2
Let x(o) = 2*o**4 + 7*o**3 + o**2 - 11*o + 7. Let a(h) = -2*h**4 - 6*h**3 + 10*h - 6. Let k(t) = 7*a(t) + 6*x(t). Factor k(m).
-2*m*(m - 2)*(m + 1)**2
Factor 79*x**3 + 20*x**2 - 22*x**3 - 37*x**3 + 3*x**4 + 2*x**4.
5*x**2*(x + 2)**2
Let s(u) be the first derivative of -3*u**4/20 - 2*u**3/5 + 21*u**2/10 - 12*u/5 - 12. Find x, given that s(x) = 0.
-4, 1
Let a(n) = -2*n + 19. Let d be a(7). Suppose d*w = -0*w + 10. What is o in -2/3*o - 10/3*o**w + 2/3 - 2*o**3 = 0?
-1, 1/3
Let q(i) be the second derivative of -i**9/10584 + i**7/2940 - i**3/2 - 4*i. Let y(d) be the second derivative of q(d). Factor y(j).
-2*j**3*(j - 1)*(j + 1)/7
Let q(z) be the first derivative of 5/24*z**3 + 3 + 1/4*z**2 + 2*z + 1/12*z**4 + 1/80*z**5. Let d(c) be the first derivative of q(c). Factor d(l).
(l + 1)**2*(l + 2)/4
Suppose 3*u = -3*g - 39, -2*g - 2*u = 2*g + 42. Let h(n) = -n. Let x be h(g). Determine q so that -3 - 1 - 2*q**3 - x*q**2 - 4*q - 6*q = 0.
-2, -1
Let j(q) be the second derivative of 1/48*q**4 - 1/12*q**3 + 3*q + 0 + 1/80*q**5 + 0*q**2. Solve j(l) = 0 for l.
-2, 0, 1
Let p(v) be the second derivative of v + 1/540*v**6 + 0*v**2 - 1/90*v**5 + 1/3*v**3 + 1/36*v**4 + 0. Let c(l) be the second derivative of p(l). Factor c(o).
2*(o - 1)**2/3
Let h(s) be the second derivative of s**5/10 - s**4/21 - s**3/3 + 2*s**2/7 - 7*s. Solve h(b) = 0.
-1, 2/7, 1
Let h(t) be the first derivative of -t - 1/36*t**4 + 2 + 0*t**2 + 1/9*t**3. Let m(x) be the first derivative of h(x). Factor m(l).
-l*(l - 2)/3
Let k(o) be the first derivative of -o**6/24 - o**5/20 + o**4/16 + o**3/12 - 5. Factor k(v).
-v**2*(v - 1)*(v + 1)**2/4
Let c(k) be the second derivative of -25*k**4/6 + 10*k**3/9 - k**2/9 - 43*k. Let c(z) = 0. Calculate z.
1/15
Let t(k) be the first derivative of k**6/135 - k**4/27 + k**2/9 - 2*k + 3. Let u(i) be the first derivative of t(i). Factor u(p).
2*(p - 1)**2*(p + 1)**2/9
Let r(h) be the third derivative of -1/105*h**6 - 1/70*h**5 + 1/84*h**4 + h**2 + 0*h + 0 + 0*h**3. Solve r(v) = 0 for v.
-1, 0, 1/4
Let h(w) be the first derivative of 4/15*w**6 + 5 + 0*w - 8/25*w**5 + 4/15*w**3 + 1/5*w**2 - 3/10*w**4. Factor h(a).
2*a*(a - 1)**2*(2*a + 1)**2/5
Let s be (-6)/25*(-240)/36. Let l(f) be the first derivative of -1 - s*f**2 - 1/10*f**4 + 8/5*f + 2/3*f**3. Find p such that l(p) = 0.
1, 2
Let f(d) be the third derivative of -d**6/60 + 3*d**5/5 - 27*d**4/4 + 26*d**2 - d. Suppose f(p) = 0. Calculate p.
0, 9
Let c(t) = 18*t**2 + t. Let k be c(-1). Suppose k = 2*w - 3*x, 3 = -2*w + x + 14. Factor 2 - 2*u**2 + w*u**2 + 2*u**3 - 2.
2*u**2*(u + 1)
Let k(c) be the third derivative of -1/32*c**4 + 0 - 2*c**2 - 1/448*c**8 + 1/80*c**6 - 1/420*c**7 + 1/60*c**5 - 1/12*c**3 + 0*c. Find j such that k(j) = 0.
-1, -2/3, 1
Let y(n) = -n**3 - 14*n**2 - 13*n - 3. Let c be y(-13). Let x(z) = -z**2 - 4*z + 5. Let a(v) = -v**2 + 1. Let i(t) = c*a(t) + x(t). Factor i(b).
2*(b - 1)**2
Suppose -g = -2*o - 6, g - 14 = -3*o + o. Suppose -5*q = -g*q. Factor 0*j**3 - 4/3*j**2 + 2/3 + 2/3*j**4 + q*j.
2*(j - 1)**2*(j + 1)**2/3
Let p be 3*-1*(13 + -12). Let w be (-1 - p) + (-10)/7. Determine c, given that 4/7 - 2/7*c**3 - w*c**2 + 2/7*c = 0.
-2, -1, 1
Let l(n) be the third derivative of -n**7/315 + 23*n**6/720 - n**5/12 - n**4/16 + 2*n**2. Factor l(t).
-t*(t - 3)**2*(4*t + 1)/6
Let c(k) = k**3 - 7*k**2 + 3. Let l be c(7). Let -2*n**2 - n - 2*n**3 + 6*n**3 - 5*n**l = 0. What is n?
-1, 0
Let b(k) be the first derivative of k**3/6 - k**2/4 - 38. Suppose b(f) = 0. What is f?
0, 1
Let x(u) = 5*u**4 + 8*u**3 + 25*u**2 + u - 21. Let w(t) = t**4 + 2*t**3 + 6*t**2 - 5. Let s(o) = -9*w(o) + 2*x(o). Find y, given that s(y) = 0.
-1, 1, 3
Let y be 0/(0 - (3 + -5)). Let i(j) be the first derivative of 0*j**3 + 0*j - 1 + y*j**2 + 0*j**5 - 1/9*j**6 + 1/6*j**4. Factor i(r).
-2*r**3*(r - 1)*(r + 1)/3
Let p(r) be the second derivative of -r**6/15 - r**5/2 - 4*r**4/3 - 4*r**3/3 - 8*r + 2. Factor p(x).
-2*x*(x + 1)*(x + 2)**2
Let a(s) be the second derivative of -s**6/40 + s**4/16 - 11*s. Let a(v) = 0. What is v?
-1, 0, 1
Factor 3*g**5 - 659*g**3 + 659*g**3.
3*g**5
Let l(c) = c**2 - 8*c - 10. Let o be l(7). Let m(b) = 7*b**3 + 5*b**2. Let h(n) = -20*n**3 - 14*n**2. Let d(v) = o*m(v) - 6*h(v). Find f, given that d(f) = 0.
0, 1
Factor 50*r**2 - 54*r**2 - 3*r**3 + 5*r**3.
2*r**2*(r - 2)
Let c(r) be the third derivative of 2/75*r**7 + 1/15*r**5 - 1/30*r**4 + 0 - 1/210*r**8 + 8*r**2 - 3/50*r**6 + 0*r + 0*r**3. Find l, given that c(l) = 0.
0, 1/2, 1
Let l(v) be the third derivative of v**7/2520 - v**6/432 + v**5/180 - v**4/8 + 2*v**2. Let o(h) be the second derivative of l(h). Factor o(i).
(i - 1)*(3*i - 2)/3
Let l(g) be the first derivative of -2 - g**2 - 6/5*g**5 + 0*g + 5/2*g**4 + 2*g**3 - 4/3*g**6. Solve l(a) = 0.
-1, 0, 1/4, 1
Let m be (-22)/(-6) - 2/6*-1. Let i(p) be the first derivative of 16/7*p**2 - 8/7*p - 2/7*p**3 + 1 + 2/5*p**5 - 8/7*p**m. Let i(z) = 0. What is z?
-1, 2/7, 1, 2
Let k(p) = 7*p**4 - 8*p**3 - 7*p**2 + 8*p - 6. Let h = -4 - -4. Let l = h + 1. Let c(i) = -i**4 + i**3 + i**2 - i + 1. Let n(v) = l*k(v) + 6*c(v). Factor n(u).
u*(u - 2)*(u - 1)*(u + 1)
Let m(n) be the second derivative of -n**7/420 - n**6/120 - n**5/120 - 3*n**2/2 + 2*n. Let i(v) be the first derivative of m(v). Find w, given that i(w) = 0.
-1, 0
Let b(k) = 8*k**2 - 27*k + 19. Let o(z) = 4*z**2 - 14*z + 10. Let i(j) = -2*b(j) + 5*o(j). Find t such that i(t) = 0.
1, 3
Factor 0*t**3 + 0 - 1/2*t**4 + 1/2*t**2 + 0*t.
-t**2*(t - 1)*(t + 1)/2
Let z be (-1)/3 - (-5 + 42/9). Let r(j) be the second derivative of -3*j + z + 4/3*j**3 - 4*j**2 - 1/6*j**4. Factor r(o).
-2*(o - 2)**2
Let y(r) be the third derivative of -2*r**7/105 + r**6/30 + 3*r**5/5 + 11*r**4/6 + 8*r**3/3 + 3*r**2. Determine x so that y(x) = 0.
-1, 4
Factor -4 + 8 + 21*y + 8 - 37*y + 4*y**2.
4*(y - 3)*(y - 1)
Let c be -1*(-5 + 0 + 2). Suppose -w - c*u + 14 = 0, 24 = -0*w + 2*w + 5*u. Find y, given that -y**2 + 2*y**w + 0*y**2 = 0.
0
Factor -8*h**2 + 4/3*h**3 + 16*h - 32/3.
4*(h - 2)**3/3
Let z(s) be the second derivative of s**7/336 - s**6/40 + 7*s**5/80 - s**4/6 + 3*s**3/16 - s**2/8 - 23*s. Solve z(a) = 0 for a.
1, 2
Let q(x) = -3*x**5 - 6*x**4 - 4*x**3 + 6*x**2 + x. Let y(j) = -13*j**5 - 25*j**4 - 17*j**3 + 25*j**2 + 3*j. Let i(v) = -9*q(v) + 2*y(v). Factor i(d).
d*(d - 1)*(d + 1)**2*(d + 3)
Let n(p) be the third derivative of p**6/40 - p**5/28 - p**4/28 + 2*p**2. Let n(j) = 0. Calculate j.
-2/7, 0, 1
Let s = 69 - 138. Let q = s + 346/5. Find r, given that 0*r - 1/5 + q*r**2 = 0.
-1, 1
Factor -4/7*b**2 - 16/7*b - 16/7.
-4*(b + 2)**2/7
Let b be 23/7 - (0 - 16/(-56)). Let g(h) be the first derivative of 2/27*h**b + 0*h + 1/9*h**2 + 3. Factor g(q).
2*q*(q + 1)/9
Let h(v) be the second derivative of 0 + 1/12*v**4 + 0*v**3 + 3*v - 1/12*v**5 - 7/120*v**6 + v**2. Let w(a) be the first derivative of h(a). Factor w(j).
-j*(j + 1)*(7*j - 2)
Let x(u) = u. Let q(p) = 16*p**2 + 23*p + 9. Let a(n) = -4*q(n) - 4*x(n). Factor a(g).
-4*(4*g + 3)**2
Let j(r) be the second derivative of r**5/10 + 19*r**4/42 - 2*r**3/