ative of -d**4/24 - d**3/12 + d**2/2 + 5*d - 3. Let b(a) be the first derivative of v(a). Let b(w) = 0. What is w?
-2, 1
Let o(u) be the second derivative of u**7/3780 - u**6/270 + u**5/60 + u**4/4 - 3*u. Let q(v) be the third derivative of o(v). Factor q(g).
2*(g - 3)*(g - 1)/3
Let k(u) = -u**3 + 36*u**2 + 35*u + 74. Let q be k(37). Find s such that 16/5*s**5 + 2*s**2 + q + 1/5*s + 33/5*s**3 + 8*s**4 = 0.
-1, -1/4, 0
Suppose -3*t + 13*n = 15*n - 5, 5*t = 4*n + 23. Solve 0*m + 2/11*m**4 - 2/11*m**2 + 0*m**t + 0 = 0.
-1, 0, 1
Determine v so that -7/4*v + 5/4*v**2 + 1/2 = 0.
2/5, 1
Let o(h) be the third derivative of 1/96*h**4 + 0*h**3 + 0 - 1/96*h**5 - 6*h**2 - 1/1680*h**7 + 0*h + 1/240*h**6. Suppose o(m) = 0. What is m?
0, 1, 2
Let s(m) be the second derivative of 7*m**6/720 - m**5/48 - m**4/24 - m**3/3 - 2*m. Let x(j) be the second derivative of s(j). Factor x(r).
(r - 1)*(7*r + 2)/2
Let q(u) = -8*u**4 + 3*u**3 + 8*u**2 - 3*u + 5. Let b(o) = -7*o**4 + 3*o**3 + 7*o**2 - 3*o + 4. Let y(l) = -5*b(l) + 4*q(l). Find r, given that y(r) = 0.
-1, 0, 1
Let u be (-52)/(-14) + (-8)/(-28). Let c(f) be the second derivative of 2/9*f**3 + f + 0 - 1/45*f**6 + 0*f**u + 1/3*f**2 - 1/15*f**5. Factor c(d).
-2*(d - 1)*(d + 1)**3/3
Let d be (1/(-1))/(70/(-2610)). Let a = d + -37. Factor -2/7 - a*q**4 + 4/7*q**2 - 2/7*q - 2/7*q**5 + 4/7*q**3.
-2*(q - 1)**2*(q + 1)**3/7
Determine y, given that 0 + 8/3*y - 12*y**2 = 0.
0, 2/9
Let l be 656/56 - 2/(-7). Let u be l/45 + (-6)/(-15). Factor -2/3*i - 2/9*i**3 + u*i**2 + 2/9.
-2*(i - 1)**3/9
Let x(s) be the second derivative of -s**5/90 - 5*s**4/54 - 7*s**3/27 - s**2/3 + 3*s. Determine z, given that x(z) = 0.
-3, -1
Let q be (-4 - -3)/(0 - 1). Let n be q*3*(-4)/(-3). Suppose -j**4 - n*j**4 - 3*j**3 - 2*j**2 + 4*j**4 = 0. Calculate j.
-2, -1, 0
Let n(r) be the second derivative of 2*r - 1/30*r**5 + 0*r**2 + 1/9*r**3 + 0 - 1/18*r**4 + 1/45*r**6. What is d in n(d) = 0?
-1, 0, 1
Let g = 2 + 2. Factor 9*j**4 + 2*j**5 - 7*j**4 + g*j**3 + 2*j**4 - 2*j**3.
2*j**3*(j + 1)**2
Let m = -50 + 52. Let z(g) be the third derivative of 11/150*g**5 - 3*g**m + 1/75*g**6 - 2/15*g**3 + 0*g + 0 + 1/12*g**4. Let z(h) = 0. Calculate h.
-2, -1, 1/4
Find m, given that -2/3*m**3 - 8/3 + 8/3*m + 1/6*m**4 + 0*m**2 = 0.
-2, 2
Let f be (-4)/(-10) - 6/40. Let c be (4/(-3))/(-4)*(-18)/(-24). Factor f*l**2 + 0 + c*l.
l*(l + 1)/4
Let b(h) be the first derivative of h**4/16 - h**3/12 - h**2/4 + 6. Factor b(l).
l*(l - 2)*(l + 1)/4
Let m(y) be the second derivative of y**6/105 - 2*y**5/35 + 3*y**4/28 - 2*y**3/21 + 2*y**2 - y. Let r(j) be the first derivative of m(j). Factor r(c).
2*(c - 2)*(2*c - 1)**2/7
Let 3/5*m - 1/5*m**2 + 4/5 = 0. Calculate m.
-1, 4
Let i(l) be the third derivative of l**6/1260 + l**5/420 - l**3 + 3*l**2. Let y(s) be the first derivative of i(s). Factor y(a).
2*a*(a + 1)/7
Let r = -633082/63 + 10052. Let b = -20/7 + r. Suppose 0 - 2/9*z**4 + 0*z**2 + 0*z - b*z**3 = 0. Calculate z.
-1, 0
Suppose -3 + 23 = -4*z. Let b(k) = k**2 + 3*k - 7. Let m be b(z). Factor -1 + 2*d**3 - 3*d + 5*d + 0*d - 4*d**m + d**4.
(d - 1)**3*(d + 1)
Factor 22/5*h**2 - 12/5*h**3 - 40 - 2/5*h**4 + 24*h.
-2*(h - 2)**2*(h + 5)**2/5
Let q be (1 + 0)/((-23)/(-46)). Factor -10/7*g - 2/7*g**4 + 4/7 + 6/7*g**q + 2/7*g**3.
-2*(g - 1)**3*(g + 2)/7
Let k(h) be the first derivative of 0*h**5 + 0*h**3 + 1/2*h**4 - 1/2*h**2 + 0*h - 2 - 1/6*h**6. Factor k(r).
-r*(r - 1)**2*(r + 1)**2
Suppose 2*l + i = -2*l + 17, 0 = 4*l - 2*i - 14. Let g be -4 + l + -2 - -4. Let g*p**4 + 4 + 3 - 4*p**2 - 2 - 3 = 0. Calculate p.
-1, 1
Let g = -26 + 30. Let s(h) be the second derivative of -h**3 + 3/2*h**2 + 3/10*h**5 + 3*h + 3/10*h**6 - h**g + 0. Find w, given that s(w) = 0.
-1, 1/3, 1
Let t(u) = u**2 + 9*u - 7. Let m(n) be the second derivative of n**4/12 + 2*n**3/3 - 3*n**2/2 + 5*n. Let j(k) = -5*m(k) + 2*t(k). Determine p so that j(p) = 0.
-1, 1/3
Let a(v) be the second derivative of v**6/360 - v**5/180 - v**4/72 + v**3/18 + 3*v**2/2 + 6*v. Let y(r) be the first derivative of a(r). Factor y(t).
(t - 1)**2*(t + 1)/3
Let l = -1/279 - -281/558. Suppose -2*c + 14 = 5*j + c, 4*c + 8 = 0. Factor -l*y**j + 0*y + 1/4*y**3 + 0*y**2 + 1/4*y**5 + 0.
y**3*(y - 1)**2/4
Let h(m) be the second derivative of m**6/45 + m**5/6 + m**4/3 - 4*m**3/9 - 8*m**2/3 + m. Solve h(g) = 0.
-2, 1
Let x(k) be the third derivative of -k**5/180 - k**4/18 + 5*k**3/18 - 7*k**2. Factor x(h).
-(h - 1)*(h + 5)/3
Let u = 30 - 30. Suppose 0 = -11*i + 6*i. Suppose 1/4*q**3 - 1/4*q**2 + i + u*q = 0. Calculate q.
0, 1
Factor 0 - 8/9*b**3 + 0*b**2 + 0*b + 4/9*b**5 + 4/9*b**4.
4*b**3*(b - 1)*(b + 2)/9
Let k(w) = 4*w**2 + 2*w + 4. Let g(r) = 3 + 0 + 3*r**2 + 5*r - 3*r. Suppose 0 = 3*d - 4*p + p, 16 = 4*p. Let i(n) = d*k(n) - 5*g(n). Solve i(y) = 0.
1
Suppose -5*z = -49 + 29. Let k be (14/(-12))/(-7)*z. Factor k*t + 2/3*t**3 - 4/3*t**2 + 0.
2*t*(t - 1)**2/3
Let c be (-112)/(-24) - 4/6. Let s(h) = 2*h**3 + h**2 + 2*h + 3. Let z(d) = -d**3 - d - 2. Let i(w) = c*s(w) + 6*z(w). What is x in i(x) = 0?
-1, 0
Let q(n) be the second derivative of 7*n**10/1440 + 19*n**9/2160 + n**8/168 + n**7/630 + n**4/4 + n. Let r(o) be the third derivative of q(o). Factor r(g).
g**2*(3*g + 1)*(7*g + 2)**2
Let z(m) = 53*m - 475. Let v be z(9). Let -1/3*w + 1/6*w**v + 0 = 0. Calculate w.
0, 2
Suppose 25 = 4*m + 65. Let p = -8 - m. Determine a, given that 4/3*a**p + 0*a - 2*a**3 + 0 = 0.
0, 2/3
Suppose 4*r = -4*r + 5*r. Factor -10/7*w**3 - 6/7*w**4 + r - 2/7*w**2 + 2/7*w.
-2*w*(w + 1)**2*(3*w - 1)/7
Let h = 4 + -1. Let m(i) be the first derivative of 0*i**h + 0*i**2 + 1/5*i**5 + 0*i + 1 + 0*i**4. Factor m(v).
v**4
Let c be (-51)/(-15) - 2/5. Suppose 1 + 9 = 5*p. What is f in -3*f**p + c*f**2 - 2*f - 2*f**2 = 0?
-1, 0
Let z(n) be the second derivative of n**7/315 - 4*n**6/225 - n**5/75 + 2*n**4/15 + n**3/5 + 6*n. Factor z(h).
2*h*(h - 3)**2*(h + 1)**2/15
Suppose -5*r + 3*r = -10. Let n be 15/18 + r/(-15). Factor n + 1/4*c**2 + 3/4*c.
(c + 1)*(c + 2)/4
Let z(w) be the first derivative of -w**5/10 + w**4/2 + w**3/2 - 9*w**2/2 - 5. Let z(y) = 0. What is y?
-2, 0, 3
Factor 1/2*s + 0 - 2*s**4 + 3*s**3 - 2*s**2 + 1/2*s**5.
s*(s - 1)**4/2
Solve 1/2*z + 1/3 + 1/6*z**2 = 0 for z.
-2, -1
Let q be 2 - 8 - -2 - 34/(-7). Let -10/7*r + 2/7*r**3 + 2/7*r**4 - 4/7 - q*r**2 = 0. What is r?
-1, 2
Suppose -5 - 50*u**2 - 59*u**3 - 5*u**5 - 16*u - 25*u**4 + 9*u**3 - 9*u = 0. What is u?
-1
Suppose 2 = 2*y - 16. Suppose 5*n - 11 = y. What is a in 2*a**2 + a**5 + a - 2*a**5 - 3*a**n + a**4 = 0?
-1, 0, 1
Let h(m) = -m**3 - 6*m**2 - 8*m - 7. Let g be h(-5). Factor 10*t + t**2 - g*t**3 - 2*t + t**2 - 2.
-2*(t - 1)*(t + 1)*(4*t - 1)
Let w(x) = x**5 + x**4 - x**3 + x**2 + x. Let h(u) = -15*u**5 - 5*u**4 + 35*u**3 - 35*u**2 - 30*u + 20. Let r(q) = -h(q) - 10*w(q). Suppose r(k) = 0. What is k?
-2, -1, 1, 2
Factor 8*o - 8 + 2*o + 2*o - 4*o**2.
-4*(o - 2)*(o - 1)
Let v(w) = -9*w**2 - 12*w + 21. Let i(y) = -4*y**2 - 6*y + 10. Let a(q) = -13*i(q) + 6*v(q). Factor a(n).
-2*(n - 2)*(n - 1)
Let m be -1 + (1 + 1)/(-2). Let b be (6/(-15))/(m/10). Find k, given that -4/9*k**4 + 2/9*k**5 + 0 + 0*k**3 + 4/9*k**b - 2/9*k = 0.
-1, 0, 1
Let x(u) be the second derivative of 0*u**2 - u + 0 + 1/60*u**5 + 1/36*u**4 + 0*u**3. Factor x(y).
y**2*(y + 1)/3
Let o(n) = n + 8. Let w be o(-5). Let -p**2 - p**3 + w*p + 3*p - 6*p = 0. Calculate p.
-1, 0
Let d be 2/6 + 42/189. Let a(u) be the second derivative of 2*u + d*u**4 + 0 - 1/63*u**7 - 5/9*u**3 + 1/9*u**6 - 1/3*u**5 + 1/3*u**2. Factor a(n).
-2*(n - 1)**5/3
Let b(s) = s**3 + s**2 - s. Let y(f) = -2*f**5 + 9*f**4 - 12*f**3 + 18*f**2 - 10*f + 1. Let m(z) = -12*b(z) + 3*y(z). Factor m(q).
-3*(q - 1)**4*(2*q - 1)
Let b(u) be the second derivative of -u**2 + 0 + 1/10*u**5 + 1/6*u**4 - 2*u - 1/3*u**3. Factor b(n).
2*(n - 1)*(n + 1)**2
Let x(h) be the third derivative of -3*h**2 - 1/30*h**5 + 0 - 1/6*h**4 - 1/3*h**3 + 0*h. Factor x(y).
-2*(y + 1)**2
Let w = 11 + -14. Let y(a) = 9*a**4 + 13*a**3 + 15*a**2 - 5. Let k(t) = -26*t**4 - 40*t**3 - 44*t**2 + 14. Let n(j) = w*k(j) - 8*y(j). Solve n(b) = 0.
-1, 1/3
Let r(m) = -m. Let t be r(-2). Suppose t = -4*c + 14. Suppose 9*y**2 - y**4 - 4*y - 15*y**2 - 1 - y**3 - c*y**3 = 0. What is y?
-1
Let p = -10 + 12. Factor 0*j**p + 2*j**3 