Determine h so that -4*h**2 - 4*h**z - 7*h**3 + 16 - 16 - h**3 = 0.
-1, 0
Let a be 22/4 + (-6)/12. Let h(m) = -100*m**2 + 152*m - 40. Let s(l) = 40*l**2 - 61*l + 16. Let w(x) = a*h(x) + 12*s(x). Factor w(t).
-4*(t - 1)*(5*t - 2)
Let c = 1744/3 + -579. Let h(a) be the second derivative of 8/21*a**7 + 4/3*a**3 + 0 + 0*a**2 - 14/15*a**6 - 6/5*a**5 + c*a**4 + 8*a. What is g in h(g) = 0?
-1, -1/4, 0, 1, 2
Let t(v) be the third derivative of 1/140*v**5 - 3/7*v**3 - 1/56*v**4 + 0 + 0*v + 22*v**2. Solve t(k) = 0 for k.
-2, 3
Let r(u) = 23*u**3 - 14*u**3 + 5 + 18*u**3 + 29*u**2 - 43*u. Let d(c) = -53*c**3 - 57*c**2 + 85*c - 11. Let p(s) = 6*d(s) + 10*r(s). Solve p(t) = 0 for t.
-2, 1/4, 2/3
Let a(u) be the third derivative of u**7/105 + 3*u**6/5 + 179*u**5/15 + 51*u**4 + 289*u**3/3 + 3*u**2 - 4. Solve a(j) = 0.
-17, -1
Determine o so that 1/4*o + 0 - 5/8*o**4 + 1/8*o**5 - 7/8*o**2 + 9/8*o**3 = 0.
0, 1, 2
Let b(k) be the third derivative of k**5/30 + k**4/6 - k**3/2 + 9*k**2. Let m(p) be the second derivative of p**2/2 + p. Let i(l) = -b(l) - 5*m(l). Factor i(d).
-2*(d + 1)**2
Let w = 58 + -47. Let q be 4 - (-4)/((-20)/w). Factor 0*j - q*j**2 - 3/5*j**3 + 12/5.
-3*(j - 1)*(j + 2)**2/5
What is p in 96*p**2 + 40*p - 650*p**3 + 136*p - 12*p**4 + 390*p**3 = 0?
-22, -2/3, 0, 1
Let q be -5*(-3)/3 - 1. Let w(u) be the first derivative of 7 + 0*u**2 + 0*u + 0*u**3 - 1/5*u**5 + 1/2*u**q. Solve w(m) = 0 for m.
0, 2
Let b be 6972/1245 - (0 - 0). Find o such that 22/5*o - b*o**2 - 6/5 - 2/5*o**5 + 12/5*o**3 + 2/5*o**4 = 0.
-3, 1
Let g = -1485 + 4463/3. Find q such that -g*q + 4*q**2 + 2/3 - 8/3*q**3 + 2/3*q**4 = 0.
1
Let o(z) be the second derivative of -z**4/4 - 21*z**3/2 - 57*z**2 + 26*z + 3. Suppose o(g) = 0. Calculate g.
-19, -2
Let l(g) be the third derivative of g**8/21840 + g**7/2340 + g**6/585 + g**5/260 + 11*g**4/24 - g**2. Let j(n) be the second derivative of l(n). Factor j(o).
2*(o + 1)**2*(2*o + 3)/13
Suppose -10*x**5 + 46*x**3 - 44*x**4 - 26*x**3 + 28*x**3 + 6*x**5 = 0. Calculate x.
-12, 0, 1
Let d(o) be the third derivative of o**8/504 - o**7/63 + o**6/20 - 7*o**5/90 + o**4/18 - 7*o**2. Determine j so that d(j) = 0.
0, 1, 2
Suppose -2*o = 2 + 10. Let r = o + 10. What is s in 3*s**5 - 6*s**3 + 0*s**2 - 2 + 9*s**2 + 3*s - 2*s**r - 5*s**2 = 0?
-1, 2/3, 1
Factor -6/7*h**2 + 2/7 + 4/7*h.
-2*(h - 1)*(3*h + 1)/7
Let l(q) be the third derivative of -3*q**5/2 - 95*q**4/24 - 5*q**3/6 + 222*q**2. Solve l(m) = 0 for m.
-1, -1/18
Factor -25*k**5 + 17*k**4 + 7*k - 2*k + 53*k**4 + 10*k**2 - 60*k**3.
-5*k*(k - 1)**3*(5*k + 1)
Let i(q) be the third derivative of -q**7/210 - q**6/60 + q**4/12 + q**3/6 - 206*q**2 - 2. Solve i(v) = 0 for v.
-1, 1
Let b(v) be the third derivative of -v**6/40 - 21*v**5/20 - 39*v**4/8 - 19*v**3/2 + 55*v**2. What is u in b(u) = 0?
-19, -1
Let a = 55 - 52. Suppose -m + a*m = 5*r - 19, m - 18 = -3*r. Factor 0 + 0*l**2 - 1/3*l + 1/3*l**m.
l*(l - 1)*(l + 1)/3
Suppose 4*m + 2*p = 24, -2*m - 18 = -5*m + 3*p. Let l be (2/m)/(140/1080). Factor -2*f**4 - 4/7*f**2 + 0*f + 0 - l*f**3.
-2*f**2*(f + 1)*(7*f + 2)/7
Let l(h) be the first derivative of -22 - 5*h**2 + 35/4*h**4 + 0*h - 25/3*h**3. Factor l(m).
5*m*(m - 1)*(7*m + 2)
Factor -6/5 + 7/5*p + 0*p**2 - 1/5*p**3.
-(p - 2)*(p - 1)*(p + 3)/5
Suppose w = 2*w. Suppose w*c - c = -u + 5, 4*c + 12 = 0. Suppose 25 - 20*r**3 + 147*r**2 - 1 - 92*r - 59*r**u = 0. What is r?
2/5, 1, 3
Let s = 560/591 + -2/11229. Determine v, given that 0 - s*v - 2/19*v**3 + 12/19*v**2 = 0.
0, 3
Suppose t = 15 - 1. Factor 5*g - 7*g**2 + t*g**2 - 5 - 5*g**3 - 2*g**2.
-5*(g - 1)**2*(g + 1)
Factor -3/2*o**2 + 3*o + 36.
-3*(o - 6)*(o + 4)/2
Suppose 5*y**4 + 23*y**3 - 3*y**3 - 116*y**2 - 180 - 69*y**2 + 340*y = 0. Calculate y.
-9, 1, 2
Let l = 28 + -25. Factor -8*x**3 + 0*x**l + 12*x**3 - 27*x + 18*x**2 - 7*x**3.
-3*x*(x - 3)**2
Let y(o) be the third derivative of o**5/20 - 15*o**4 + 1800*o**3 - 73*o**2. Factor y(f).
3*(f - 60)**2
Let q = -34 + 36. Determine c, given that 15*c**3 + 15*c**q - 7*c**4 + 6*c**4 + 6*c**4 - c + 6*c = 0.
-1, 0
Let q(y) be the first derivative of -2*y**5/75 - 9*y**4/10 - 52*y**3/45 + 77. Determine k so that q(k) = 0.
-26, -1, 0
Let m = 687 - 681. Let v(i) be the second derivative of 1/10*i**m + i**3 + 1/14*i**7 + 0*i**2 + 0 - 1/4*i**4 - 4*i - 9/20*i**5. What is y in v(y) = 0?
-2, -1, 0, 1
Let z(i) = 9*i - 86. Let r be z(10). Let v(s) be the second derivative of 0 + 1/2*s**2 + 9*s + 1/3*s**3 + 1/12*s**r. Find l, given that v(l) = 0.
-1
Let s = 152839/7 + -21817. Suppose -30/7*v**4 - s*v**3 - 96/7 - 240/7*v**2 - 240/7*v - 3/7*v**5 = 0. Calculate v.
-2
Solve 7 + 32*y + 23*y**2 - 23 - 3*y**2 = 0.
-2, 2/5
Let g = 21/8 + -727/280. Let m(o) be the second derivative of 8*o - 2/21*o**4 + 0 + 2/105*o**6 + 0*o**2 + g*o**5 + 0*o**3. Factor m(n).
4*n**2*(n - 1)*(n + 2)/7
Suppose 5 = g + 3. Factor -17*q**3 + 9*q**5 + g*q**4 - 5*q**5 + 4*q**2 + 8*q - 6*q**4 + 5*q**3.
4*q*(q - 2)*(q - 1)*(q + 1)**2
Let g = 22 + -19. Factor 3*u**3 + g*u**2 + 3 - 30*u + 27 - 6.
3*(u - 2)*(u - 1)*(u + 4)
Suppose 9*u - 10*u = -8. Let f(b) = b**3 - 9*b**2 + 7*b + 10. Let r be f(u). Factor 0*j**r + 0 - 1/7*j + 1/7*j**3.
j*(j - 1)*(j + 1)/7
Suppose 5/2*h**3 + 2*h**4 + 0 - 7/2*h**2 - h = 0. What is h?
-2, -1/4, 0, 1
Suppose -3*p = -4*b - 35, -43 = -2*p + 5*b - 8. Determine j, given that -30*j**4 - 329*j**2 - 115*j**2 + 108*j - 48*j**4 + 8*j**p + 268*j**3 + 84*j**2 + 54 = 0.
-1/4, 1, 3
Let d(m) be the first derivative of 0*m**2 - 1/5*m**3 - 3 + 0*m. Find l such that d(l) = 0.
0
Let o(h) be the third derivative of -7/36*h**4 + 49/18*h**3 + 0*h + 1/180*h**5 + 0 - 13*h**2. Solve o(l) = 0 for l.
7
Suppose 2*a = a - 3*x - 8, -x = a. Suppose 0 = -5*d + 3*d + 18. Find b such that 15*b - 2*b**a + 2*b**5 - d*b - 6*b = 0.
0, 1
Let k = 277/3480 - 3/232. Let t(j) be the second derivative of -1/30*j**4 - k*j**3 - 5*j + 2/5*j**2 + 0. Factor t(b).
-2*(b - 1)*(b + 2)/5
Let w(p) be the second derivative of -p**4/12 - 14*p**3/3 + 29*p**2/2 + 20*p. Suppose w(d) = 0. What is d?
-29, 1
Let i(x) be the second derivative of -x**7/21 + 2*x**6/15 - x**5/10 - x + 30. Factor i(h).
-2*h**3*(h - 1)**2
Let m = -83465/28 - -2982. Let i = m + 8/7. Find z such that i - 3/2*z - 3/4*z**2 = 0.
-3, 1
Suppose 0 = a + 2*p, p + 3 = -a - a. Let c be 1 - (-24)/(-16)*a/(-3). Factor 0 + 2/3*s**3 - 2/3*s + c*s**2.
2*s*(s - 1)*(s + 1)/3
Let c(z) be the first derivative of -z**4/12 + z**3 - 9*z**2/2 + 10*z + 13. Let o(v) be the first derivative of c(v). What is i in o(i) = 0?
3
Let g = 19939 - 79751/4. Suppose -2*d - 1 - g*d**2 - 1/4*d**3 = 0. What is d?
-2, -1
Let j(b) be the second derivative of b**9/15120 - b**7/1260 + b**5/120 - 11*b**4/4 - 4*b. Let m(z) be the third derivative of j(z). Factor m(d).
(d - 1)**2*(d + 1)**2
Let w(l) = -12*l**2 - 229*l + 390. Let d(f) = -205*f**2 - 3885*f + 6630. Let c(j) = 2*d(j) - 35*w(j). Let c(g) = 0. Calculate g.
-26, 3/2
Factor -9164*v**4 - 90*v**3 - 426*v**2 - 144 - 430*v - 48*v**3 + 9166*v**4.
2*(v - 72)*(v + 1)**3
Let o(g) = 33*g**2 + 15*g - 16. Let b(p) = 41*p**2 + 15*p - 16. Let r(v) = -4*b(v) + 5*o(v). Suppose r(k) = 0. What is k?
-16, 1
Determine l so that l**3 + 13*l**2 + 0*l**2 + 6*l**3 - 40 - 30*l - 2*l**3 + 2*l**2 = 0.
-4, -1, 2
Solve 6*v**3 + 0*v - 1/3*v**4 + 0 - 17/3*v**2 = 0 for v.
0, 1, 17
Let p(d) be the first derivative of -1/9*d**2 + 7 + 1/18*d**4 + 2/27*d**3 + 0*d - 2/45*d**5. What is a in p(a) = 0?
-1, 0, 1
Suppose 4*p - 2*h = 22, -2*h = -5*p - 0*h + 26. Let x be (-10)/14*-1*(6 - p). Factor -8/7*i - x*i**3 + 26/7*i**2 - 8/7.
-2*(i - 2)*(i - 1)*(5*i + 2)/7
Suppose 127*k + 0 + 0 = -0. Factor -2/7*j**3 + k + 2/7*j**4 + 0*j + 0*j**2.
2*j**3*(j - 1)/7
Let j(g) be the third derivative of -g**8/896 - g**7/35 - 3*g**6/10 - 27*g**5/16 - 351*g**4/64 - 81*g**3/8 - 271*g**2. Determine n so that j(n) = 0.
-6, -3, -1
Let h(t) be the first derivative of 2*t**3/27 + 2*t**2/9 - 16*t/9 + 277. Factor h(j).
2*(j - 2)*(j + 4)/9
Factor 0 + 44/3*k**2 + 20/3*k + 28/3*k**3 + 4/3*k**4.
4*k*(k + 1)**2*(k + 5)/3
Let v(f) = -f**2 - 22*f - 18. Let r be v(-21). Factor -4*m**4 - m**4 + 8*m**r + m**4.
-4*m**3*(m - 2)
Let h(o) = 51*o**3 + 300*o**2 + 129*o - 129. Let n(b) = -4*b**3 - 23*b**2 - 10*b + 10. Let f = -27 - -29. Let l(y) = f*h(y) + 27*n(y). Factor l(a).
-3