68 + 26*j**7/105 - 107*j**6/30 + 352*j**5/15 - 865*j**4/12 + 350*j**3/3 - 7*j**2 - 18. Suppose m(v) = 0. Calculate v.
1, 5, 14
Suppose 5*q - 12 = 8. Suppose -5*s + q*w + 18 + 5 = 0, -12 = -2*s + 3*w. Factor -s*n + 3*n**2 - 3*n**4 - 3*n**3 + 0*n**3 + 6*n.
-3*n*(n - 1)*(n + 1)**2
Factor 41952*v**3 + 4*v**2 + v**5 - 41952*v**3 - 3*v**4.
v**2*(v - 2)**2*(v + 1)
Let r(h) be the third derivative of 0 + 1/60*h**5 + 3*h**2 + 0*h**4 + 0*h - 1/6*h**3. Factor r(p).
(p - 1)*(p + 1)
Let g = -12 - -17. Suppose g*o + 4*q - 2*q = 4, o + 4*q = -10. Find m such that -5*m**o + 2*m**2 - m**5 - 9*m**4 - 9*m**3 + m**5 - 3*m**5 = 0.
-1, 0
Let t be (-11341)/(-22) + 7 + 5/1. Let b = 540 - t. Factor 1/2*w**2 - 5*w + b.
(w - 5)**2/2
Let k(t) be the first derivative of -8/7*t + 4/21*t**3 - 2 - 2/7*t**2. Suppose k(x) = 0. What is x?
-1, 2
Let i(f) = 9*f**4 - 10*f**3 - 96*f**2 + 251*f - 187. Let g(w) = 14*w**4 - 16*w**3 - 144*w**2 + 376*w - 280. Let a(m) = 5*g(m) - 8*i(m). Factor a(k).
-2*(k - 2)**3*(k + 6)
Suppose -3*w - 65 = 43. Let y be (-2)/(-13) + w/39*-2. Let 0*s**y - 1/3*s**3 - 2/3 + s = 0. What is s?
-2, 1
Let q(x) be the second derivative of 3/40*x**4 + 0*x**5 + 0 + x - 3/2*x**2 + 1/5*x**3 - 1/200*x**6. Let i(m) be the first derivative of q(m). Factor i(h).
-3*(h - 2)*(h + 1)**2/5
Let o(h) be the first derivative of 5*h + 1/42*h**4 + 2/7*h**2 - 1/7*h**3 - 7. Let g(u) be the first derivative of o(u). Suppose g(a) = 0. What is a?
1, 2
Let r(b) = -b**3 + 5*b**2 + 27. Let v(u) = -u - 2. Let c be v(-2). Let l be r(c). What is s in -36/5*s**3 + 0*s - 111/5*s**4 + l*s**5 + 12/5*s**2 + 0 = 0?
-2/5, 0, 2/9, 1
Let x = 10835 - 10830. Determine f, given that -6*f**4 - 3/2*f**x - 6*f**2 - 9*f**3 + 0 - 3/2*f = 0.
-1, 0
Let y be -2 + 2 + -6 + 1 + 5. Let r(i) be the third derivative of y + 0*i + 6*i**2 - 1/20*i**5 + 0*i**4 + 1/2*i**3. Suppose r(z) = 0. Calculate z.
-1, 1
Let f(r) be the first derivative of -r**6/63 - 2*r**5/35 - r**4/42 + 2*r**3/21 + 2*r**2/21 + 316. Suppose f(o) = 0. What is o?
-2, -1, 0, 1
Let n(y) be the first derivative of -3*y**4/7 - 68*y**3/21 + 64*y**2/7 + 16*y - 52. Find o, given that n(o) = 0.
-7, -2/3, 2
Let o(n) be the second derivative of -n**6/240 - n**5/120 + n**4/48 + n**3/12 - n**2 + 3*n. Let j(q) be the first derivative of o(q). Factor j(x).
-(x - 1)*(x + 1)**2/2
Let c(a) = a + 9. Let g be c(-9). Let q be (-4)/(-16) + 7/4. Factor -2*w**3 + 0*w**2 + g*w**3 - 4*w**q - 2*w.
-2*w*(w + 1)**2
Let w(f) be the first derivative of 42 + 2/5*f**5 - 5/8*f**4 + 0*f**2 + 1/3*f**3 - 1/12*f**6 + 0*f. Determine j, given that w(j) = 0.
0, 1, 2
Let b(p) be the first derivative of p**8/700 + p**7/280 + p**6/600 + 32*p**3/3 - 20. Let g(t) be the third derivative of b(t). Factor g(h).
3*h**2*(h + 1)*(4*h + 1)/5
Factor 15/4*k**2 - 9/4*k - 3/4*k**4 + 0 - 3/4*k**3.
-3*k*(k - 1)**2*(k + 3)/4
Factor 0*o**2 + 2/13*o - 2/13*o**3 + 0.
-2*o*(o - 1)*(o + 1)/13
Let v be 28/2*(-16)/(-56). Suppose 7*w**2 - v*w**2 - 85*w**4 + 82*w**4 = 0. Calculate w.
-1, 0, 1
Let q(f) be the second derivative of f**5/100 - 11*f**4/20 + 121*f**3/10 + 41*f**2/2 - 33*f. Let o(y) be the first derivative of q(y). Factor o(l).
3*(l - 11)**2/5
Let p(m) = -4*m**2 - 43*m - 53. Let d(o) = o**2 + 11*o + 13. Suppose -11*y - 88 = -7*y. Let g(t) = y*d(t) - 6*p(t). Suppose g(h) = 0. What is h?
-4
Let o be 30/100*(-3928)/6. Let y = o + 197. What is f in y*f**4 - 6/5*f**3 + 3/5 + 3/5*f + 3/5*f**5 - 6/5*f**2 = 0?
-1, 1
Let q(m) be the first derivative of 3*m**4/8 + 49*m**3/2 - 156*m**2 + 318*m + 70. Solve q(d) = 0.
-53, 2
Suppose 0 = 5*h + h - 174. Let o = h - -2. Let o*m**3 + 3*m**3 - m**2 + 11*m**2 - 9*m**3 = 0. Calculate m.
-2/5, 0
Let a(b) = -3*b**4 + 15*b**3 + 21*b**2 + 21*b + 24. Let s(l) = 4*l**4 - 15*l**3 - 20*l**2 - 21*l - 27. Let q(y) = 7*a(y) + 6*s(y). Factor q(p).
3*(p + 1)**3*(p + 2)
Let u(o) = 5*o**3 - 37*o**2 + 28*o + 2. Let k(q) = -135*q**3 + 1000*q**2 - 755*q - 55. Let w(m) = 2*k(m) + 55*u(m). Find j, given that w(j) = 0.
0, 1, 6
Solve -5/3*g**2 + 1/3*g**4 + 0*g**3 + 0*g + 4/3 = 0 for g.
-2, -1, 1, 2
Let t be (-12)/(12/(-3)) + -1. Factor -2*j**2 - 2*j + j - 4 + 8*j**2 + j**3 - 2*j**t.
(j - 1)*(j + 1)*(j + 4)
Let m(i) be the first derivative of i**4/8 - 13*i**3/6 + 5*i**2 + 50*i + 265. What is h in m(h) = 0?
-2, 5, 10
Suppose -313 = 4*y - 5*a, -3*y + 3*a + 255 = -6*y. Let g = y + 575/7. Factor g*k**2 + 3/7*k + 0.
k*(k + 3)/7
Let p(a) = -4*a**4 - 21*a**3 - 30*a**2 - 13*a. Let x(o) = 2*o**4 + 10*o**3 + 14*o**2 + 6*o. Let v(m) = -2*p(m) - 5*x(m). Factor v(q).
-2*q*(q + 1)**2*(q + 2)
Let f(z) be the first derivative of z**5/20 - 33*z**4/16 + 121*z**3/12 - 147*z**2/8 + 29*z/2 - 1005. Factor f(n).
(n - 29)*(n - 2)*(n - 1)**2/4
Let k = -157 + 161. Suppose u - 3 = -s, -2*s + 18 = k*u - 4*s. Factor 2*c**2 + 0 + 4/7*c + 6/7*c**u + 16/7*c**3.
2*c*(c + 1)**2*(3*c + 2)/7
Let 36/5*m + 0 + 3/5*m**2 = 0. What is m?
-12, 0
Let y(h) be the third derivative of h**8/20160 - h**7/840 - 13*h**5/60 - 42*h**2. Let m(x) be the third derivative of y(x). Determine v, given that m(v) = 0.
0, 6
Let z(q) be the first derivative of -2*q**7/35 - 7*q**6/30 + 2*q**4/3 + 33*q**2/2 + 23. Let r(j) be the second derivative of z(j). Factor r(n).
-4*n*(n + 1)*(n + 2)*(3*n - 2)
Let z(u) be the second derivative of 0 - 1/60*u**4 - 4/15*u**3 + 31*u + 0*u**2. Solve z(g) = 0.
-8, 0
Let f be 0 - -5 - (77 - 76). Let k(b) be the second derivative of 0 + 1/16*b**4 + 1/8*b**2 - 1/8*b**3 - 1/80*b**5 - f*b. Factor k(r).
-(r - 1)**3/4
Factor -4225 + 21*k**2 - 15*k**2 + 11*k**2 - 18*k**2 - 130*k.
-(k + 65)**2
Let h(g) be the second derivative of -g**5/10 - 9*g**4/8 + 7*g**3/12 + 251*g. What is y in h(y) = 0?
-7, 0, 1/4
What is q in 4/5 - 24/5*q - 16/5*q**3 + 36/5*q**2 = 0?
1/4, 1
Let d = -19 + 29. Find r, given that 6*r - 6*r**3 - 4*r**5 + 4*r**2 - 2*r**2 - 4*r**2 - 4*r + d*r**4 = 0.
-1/2, 0, 1
Factor 42*h**3 - 3/2*h**5 - 48*h**2 + 0 + 0*h - 6*h**4.
-3*h**2*(h - 2)**2*(h + 8)/2
Let o(m) = m**3 + m**2 + 2. Let b(l) = 2*l**4 - 15*l**3 - 3*l**2 + 14*l - 2. Let k(t) = b(t) + o(t). Suppose k(u) = 0. Calculate u.
-1, 0, 1, 7
Let f(k) = -k**4 + k**2 + k - 1. Let i(g) = -5*g**4 + 20*g**3 - 102*g**2 + 208*g - 121. Let c(v) = 4*f(v) - i(v). Find x, given that c(x) = 0.
1, 3, 13
Determine a, given that -3*a + 5/2 + 1/2*a**2 = 0.
1, 5
Let y(r) be the third derivative of r**7/105 + r**6/30 - r**5/30 - r**4/6 - r**2 - 77. Factor y(m).
2*m*(m - 1)*(m + 1)*(m + 2)
Let v be (0 + (-35)/14)*(-4 + (-4 - -5)). Let 3/2*x**2 - 6*x - v = 0. Calculate x.
-1, 5
Let k(o) = o + 18. Let d be k(4). Suppose 34 - 11 = -v + 5*n, v = -4*n + d. Suppose -4/3*x**2 + 2*x**3 + 4/3 - v*x = 0. Calculate x.
-1, 2/3, 1
Let d be 123/(-287) + (-44)/(-70). Find a such that -4/5*a**2 + d*a**4 + 1/5*a**5 - 4/5*a**3 + 0*a + 0 = 0.
-2, -1, 0, 2
Suppose -s + 6 = s. Let d(l) = -l**3 + 2*l**2 + l + 5. Let c(w) be the first derivative of w - 2. Let p(o) = s*d(o) - 21*c(o). Find f such that p(f) = 0.
-1, 1, 2
Let w(i) be the third derivative of 0*i + 0*i**3 + 1/60*i**5 - 11*i**2 - 1/240*i**6 + 0*i**4 - 1/420*i**7 + 0. Suppose w(h) = 0. Calculate h.
-2, 0, 1
Let p(k) be the first derivative of 5*k**6/6 - 115*k**4/2 - 640*k**3/3 - 615*k**2/2 - 200*k - 733. Factor p(c).
5*(c - 8)*(c + 1)**3*(c + 5)
Let s(h) = -3*h**4 + 11*h**3 + 14*h**2 + 8*h - 8. Let i(v) = 2*v**4 - 7*v**3 - 9*v**2 - 5*v + 5. Let k(c) = -8*i(c) - 5*s(c). Find y such that k(y) = 0.
-1, 0, 2
Let d(u) be the third derivative of -u**6/1140 + u**5/570 - 3*u**2 - 13*u. Suppose d(h) = 0. What is h?
0, 1
Let h be 9/7 + 3/(-5) + 84/(-210). Factor h*x**5 - 6/7*x**4 + 6/7*x**3 - 2/7*x**2 + 0*x + 0.
2*x**2*(x - 1)**3/7
Factor 2/7*w**2 - 34/7 + 32/7*w.
2*(w - 1)*(w + 17)/7
Let x = 2 - -1. Let n be (((-24)/15)/(-4))/(x/15). Find g, given that -4/7*g + 2/7*g**n + 0 = 0.
0, 2
Let f(j) be the first derivative of -2*j**3/3 - 26*j**2 - 50*j + 53. Let f(d) = 0. What is d?
-25, -1
Let p(z) be the second derivative of 2*z**7/77 + 19*z**6/30 + 5*z**5/4 + 23*z**4/66 - 16*z**3/33 + 2*z + 115. What is r in p(r) = 0?
-16, -1, -2/3, 0, 1/4
Suppose -63 - 111 = -6*p. Suppose -3*g - p = -5*m, 4*m = -4*g + 2 + 2. Factor -8*h + 10*h - 4*h**m + 2*h**3 - 2*h.
-2*h**3*(2*h - 1)
Let h be (-2)/((-9)/(45/(-20))*-1). Factor -1/2*u**5 + 0*u**3 + 0 + u**2 + h*u - u**4.
-u*(u - 