8*i**2 + 4*i + 2. Let c(k) = k**3 - 41*k**2 - 20*k - 11. Let b(m) = -2*c(m) - 11*d(m). Determine f so that b(f) = 0.
-2, -1, 0
Let c(p) be the first derivative of p**7/280 - p**6/40 + 3*p**5/40 - p**4/8 + 3*p**3 + 3. Let f(y) be the third derivative of c(y). Factor f(b).
3*(b - 1)**3
Let y be ((-6)/8)/((-2)/(2 - -6)). Let f(n) be the first derivative of 1/7*n**2 - 2/21*n**y + 2 - 1/14*n**4 + 2/7*n. Suppose f(s) = 0. Calculate s.
-1, 1
Let g be 5/(-10)*(-1 - 1). Suppose 8*c**3 + 2*c**4 + 1 + 2 + 8*c + 12*c**2 - g = 0. What is c?
-1
Let s(c) be the second derivative of c**7/189 - c**5/45 + c**3/27 + 2*c. Solve s(h) = 0.
-1, 0, 1
Let a = -26 - -79/3. Let j(o) be the third derivative of 1/60*o**6 - 1/12*o**4 + a*o**3 + 0 + 0*o - 2*o**2 - 1/30*o**5. Factor j(u).
2*(u - 1)**2*(u + 1)
Let v be (-8)/20 + 12/5. Factor 0*h**2 - h**v + h - h**2 + 3*h.
-2*h*(h - 2)
Let 2*i**5 + 8*i + i**5 + 7*i**4 - 27*i**4 + i**5 + 36*i**3 - 28*i**2 = 0. What is i?
0, 1, 2
Let i(j) = 8*j**4 - 6*j**3 + 9. Let k(l) = -l**4 + l**3 - 1. Let u(f) = 4*i(f) + 36*k(f). Factor u(w).
-4*w**3*(w - 3)
Let n(z) be the first derivative of -9*z**4/2 + 20*z**3 - 7*z**2 - 12*z - 3. Factor n(p).
-2*(p - 3)*(3*p - 2)*(3*p + 1)
Let o(b) be the third derivative of b**4/24 - b**3/6 - 2*b**2. Let f be o(1). Factor -4*a**2 + 2*a**2 + f*a**2 - 2*a + 2 + 2*a**3 + 0*a.
2*(a - 1)**2*(a + 1)
Let f = -13 - -6. Let q be (f + 2)*2/(-5). Factor 0 + 0*i**3 + 0*i - 2/5*i**4 + 0*i**q.
-2*i**4/5
Let t(j) be the first derivative of j**4/4 + j**3 + 3*j**2/2 + j + 2. Factor t(s).
(s + 1)**3
Let v(g) = g**2 - 1. Let i be v(-2). Let r be (-30)/(-48) - i/8. Factor 0 - r*y + 1/4*y**2.
y*(y - 1)/4
Let h(r) be the third derivative of -r**5/30 + r**4/3 + 22*r**2. Determine s so that h(s) = 0.
0, 4
Suppose 0*w**4 + 22*w**3 + 8*w + 20*w**2 - 6*w**3 + 2*w**4 + 2*w**4 = 0. Calculate w.
-2, -1, 0
Let s(g) be the second derivative of -g**9/1512 + g**8/280 - g**7/140 + g**6/180 + g**3/3 + 3*g. Let n(a) be the second derivative of s(a). Factor n(f).
-2*f**2*(f - 1)**3
Let u(h) be the second derivative of -h**9/1890 + 11*h**8/3360 - h**7/252 - h**6/180 + h**4/6 - 5*h. Let z(d) be the third derivative of u(d). Factor z(r).
-2*r*(r - 2)*(r - 1)*(4*r + 1)
What is j in -j**2 + j**3 + 4*j**2 + 10*j - 8*j = 0?
-2, -1, 0
Let j(p) be the third derivative of 0*p**3 + 0 + 0*p + 0*p**4 + 0*p**5 + 1/240*p**6 - 3*p**2. Factor j(u).
u**3/2
Let w = 54 + -50. Let r(a) be the third derivative of 0*a**3 + a**2 + 1/300*a**5 + 0*a**w + 0*a + 0. Factor r(x).
x**2/5
Suppose 10*t = 16*t - 18. Let 2/7*n**t + 0*n - 4/7*n**2 + 2/7*n**4 + 0 = 0. What is n?
-2, 0, 1
Let g(d) be the second derivative of -2*d**7/189 - d**6/45 + d**5/30 + d**4/27 + 12*d. Suppose g(c) = 0. Calculate c.
-2, -1/2, 0, 1
Let y be 6 + (-9)/((-45)/(-20)). Let s(f) be the first derivative of 4/3*f - 4/3*f**y + 1/3*f**3 + 1. Factor s(o).
(o - 2)*(3*o - 2)/3
Let -2/11*r**2 - 12/11 + 10/11*r = 0. Calculate r.
2, 3
Let i(x) = x**3 + 11*x**2 - 12*x + 2. Let b be i(-12). Factor 6*s - s**b - s**2 + 5*s**2.
3*s*(s + 2)
Let v(s) be the first derivative of -3*s**4/4 - 8*s**3 - 39*s**2/2 - 18*s - 37. Determine u so that v(u) = 0.
-6, -1
Let w be -3 - ((-68)/32 + -1). Let s(i) be the first derivative of w*i**2 - 1/16*i**4 - 1 + 1/12*i**3 - 1/4*i. Solve s(m) = 0 for m.
-1, 1
Let k(t) = t**2 + 3*t - 1. Let x = -35 - -31. Let d be k(x). What is w in 4/7*w**2 + 0 + 2/7*w + 2/7*w**d = 0?
-1, 0
Suppose 44 = 3*y + 5*h, 0 = 2*y + 2*h + 2*h - 32. Let d = y + -6. Factor -c**d - c + 1 + c.
-(c - 1)*(c + 1)
Suppose 0*y = 2*y - 6. Let 2*u**4 - u**4 - y*u**2 - 2*u + 0*u + 0*u = 0. What is u?
-1, 0, 2
Let c = -12 + 18. Let h be ((-6)/(-9))/(8/c). Suppose 0*i**2 + i**3 - i + 1/2*i**4 - h = 0. What is i?
-1, 1
Let q(m) be the first derivative of m**3/9 - m**2/6 - 2*m/3 - 19. Determine c so that q(c) = 0.
-1, 2
Factor 0 + 3/7*d**3 + 1/7*d + 3/7*d**2 + 1/7*d**4.
d*(d + 1)**3/7
Let k(g) be the third derivative of -g**8/1680 + 4*g**7/525 - 11*g**6/300 + 2*g**5/25 - 3*g**4/40 - 26*g**2. Factor k(b).
-b*(b - 3)**2*(b - 1)**2/5
Suppose 3 = 3*m - 3. Determine z, given that 2*z + z**m - 2*z + z = 0.
-1, 0
Let l = 4 + -3. Suppose -5 - l = -3*r. Find j such that -6*j**r + 0*j**3 - 2*j**3 - 2 + 0*j - 6*j = 0.
-1
Let b = 94 - 468/5. Find n such that -2/5*n - b*n**3 - 4/5*n**2 + 0 = 0.
-1, 0
Let v(g) = 7*g**2 - 2*g. Let t(u) = 7*u**2 - 2*u. Let r = -1 - 3. Let w(s) = r*v(s) + 3*t(s). Factor w(o).
-o*(7*o - 2)
Let w(j) be the second derivative of -j**10/105840 - j**9/52920 + j**8/23520 + j**7/8820 - j**4/3 + 2*j. Let l(k) be the third derivative of w(k). Factor l(n).
-2*n**2*(n - 1)*(n + 1)**2/7
Let p = -82400 + 270684002/3285. Let s = 239813/13140 - p. Factor 11/4*b + 1/4 + 43/4*b**2 + 4*b**5 + 14*b**4 + s*b**3.
(b + 1)**3*(4*b + 1)**2/4
Let r = 1906/63 - 262/9. Suppose r*d - 2/7*d**4 + 8/7*d**3 - 2/7 - 12/7*d**2 = 0. Calculate d.
1
Let z(t) be the second derivative of 2*t**7/21 + 16*t**6/15 + 5*t**5 + 38*t**4/3 + 56*t**3/3 + 16*t**2 - 12*t. Factor z(s).
4*(s + 1)**2*(s + 2)**3
Factor -5*n**3 + n + 5*n**3 + 2*n**2 + n**3.
n*(n + 1)**2
Find y, given that 6*y**2 - 12*y**3 - 2*y**4 + 8*y - 6 - 3 + 4*y + 5*y**4 = 0.
-1, 1, 3
Suppose q = -q + 2, -2*x + 8 = 2*q. Let 3/5*v**x + 0 + 3/5*v**4 - 3/5*v - 3/5*v**2 = 0. Calculate v.
-1, 0, 1
Suppose 5*i + 0*i + 4*f - 29 = 0, -15 = -4*i + 5*f. Suppose 3*m = -5*k + 16 + i, 0 = 4*m - k - 5. Factor -5 - s + 0*s + 5 - s**m.
-s*(s + 1)
Let k(j) be the first derivative of -j**7/105 - j**6/75 + j**5/50 + j**4/30 + 2*j - 1. Let b(s) be the first derivative of k(s). Factor b(y).
-2*y**2*(y - 1)*(y + 1)**2/5
Let z(v) be the first derivative of 6 - 4/7*v**2 - 2/21*v**3 - 8/7*v. Find o such that z(o) = 0.
-2
Let m(d) be the second derivative of -25*d**7/42 - 5*d**6/3 - 21*d**5/20 + 2*d**4/3 + 2*d**3/3 - 5*d. Find l such that m(l) = 0.
-1, -2/5, 0, 2/5
Let x = 102/485 + -1/97. Factor x*v**4 + 0 + 3/5*v**2 + 3/5*v**3 + 1/5*v.
v*(v + 1)**3/5
Let n(j) = -j**3 - j + 1. Let a(u) = -20*u**3 + 10*u**2 - 60*u + 45. Let l(h) = a(h) - 25*n(h). Factor l(p).
5*(p - 1)**2*(p + 4)
Let r be (1 - -2)*3/15*5. Factor 0 + 0*g**r + 0*g - 1/2*g**2 + 1/2*g**4.
g**2*(g - 1)*(g + 1)/2
Let t = -2959/7 - -423. What is f in -5/7*f**3 + f**2 + 0 - t*f = 0?
0, 2/5, 1
Suppose -5*k - 15 = 3*g - 13, -2*k + g = -8. Let -2/5*x**3 + 4/5 + 6/5*x + 0*x**k = 0. What is x?
-1, 2
Let i(g) be the first derivative of 2*g**5/15 - g**4/3 + 2*g**2/3 - 2*g/3 + 9. Determine a, given that i(a) = 0.
-1, 1
Let -4*d**3 + 3*d**3 + 12*d**2 - 8*d + 0*d**3 - 3*d**3 = 0. Calculate d.
0, 1, 2
Let m(r) be the third derivative of r**6/40 - r**4/8 + 8*r**2. Determine u, given that m(u) = 0.
-1, 0, 1
Let j be (5 + -10)/(1*-1). Factor -2*k**3 + k**4 + k**3 - k**2 - 21*k**5 + 22*k**j.
k**2*(k - 1)*(k + 1)**2
Let f(m) be the third derivative of 0*m**4 + 0*m**3 + 0*m + 0 + 1/784*m**8 + 0*m**5 + 0*m**6 + 0*m**7 + 9*m**2. Factor f(k).
3*k**5/7
Let r = 8 - 8. Determine i so that -2/3*i**4 + 2/3*i**5 + 0 - 2/3*i**3 + 2/3*i**2 + r*i = 0.
-1, 0, 1
Let x = -3 - -15. Suppose -x = -5*u - 2. Determine f, given that 2*f**2 - f**u + 3*f**2 - 10*f**5 - 16*f**4 - 2*f**3 = 0.
-1, 0, 2/5
Let g(q) = 4*q**4 - 6*q**2 - 2*q - 6. Let h(k) = 3*k**4 - k**3 - 6*k**2 - 2*k - 5. Let b(j) = 5*g(j) - 6*h(j). Suppose b(w) = 0. Calculate w.
-1, 0
Let v(f) = 0*f - 8*f - 13 + 10*f. Let l be v(9). Solve 7/3*i**3 + 0 - 2/3*i**2 + i**l + 0*i - 8/3*i**4 = 0.
0, 2/3, 1
Let r(j) be the first derivative of j**7/840 - 7*j**3/3 + 6. Let d(a) be the third derivative of r(a). Find b, given that d(b) = 0.
0
Let s = 43849/504 + -87. Let d(k) be the third derivative of -1/90*k**6 + s*k**8 + 1/315*k**7 + 0*k**5 + 0 + 0*k**4 + 3*k**2 + 0*k + 0*k**3. Factor d(j).
2*j**3*(j - 1)*(j + 2)/3
Let p be ((-49)/(-91))/7*4. Factor 14/13*g**5 + 0*g - p*g**2 + 22/13*g**3 - 32/13*g**4 + 0.
2*g**2*(g - 1)**2*(7*g - 2)/13
Let b(t) be the first derivative of 15*t**4/4 + 3*t**3 - 3*t**2 - 13. Solve b(l) = 0 for l.
-1, 0, 2/5
Factor -6*q + q**2 - 4 + 3 - 2*q**2 - 8.
-(q + 3)**2
Factor -8/3*p + 10/9*p**2 + 8/9.
2*(p - 2)*(5*p - 2)/9
Let h = -1816/9 - -202. Let u = 137 - 1231/9. Factor -2/9*w**4 - h*w**3 + 2/9*w + 0 + u*w**2.
-2*w*(w - 1)*(w + 1)**2/9
Factor -4/3*s + 0 + 2/3*s**2 + 4/3*s**3 - 2/3*s**4.
-2*s*(s - 2)*(s - 1)*(