lve h(r) = 0.
0, 2/3, 1, 2
Let p(j) be the second derivative of -j**5/4 - 10*j**4/3 - 55*j**3/6 + 50*j**2 + 219*j. Factor p(n).
-5*(n - 1)*(n + 4)*(n + 5)
Find k such that -785 + k**3 + 480 - 308*k**2 - 18*k + k**3 - 505 + 334*k**2 = 0.
-9, 5
Let z be (8/(-84))/(1/24). Let o = z - -55/21. Factor -r - o*r**2 - 2/3.
-(r + 1)*(r + 2)/3
Let u be (-732)/(-26) - (-10)/(-65). Let v = u + -28. Find q, given that 0*q + v - 2/11*q**2 = 0.
0
Let w(l) be the first derivative of -18*l**5/5 + 39*l**4 - 386*l**3/3 + 104*l**2 - 32*l + 149. What is q in w(q) = 0?
1/3, 4
Factor 4*u**2 - 96*u + 349 - 82 + 387 - 78.
4*(u - 12)**2
Let -1/2*f**2 + 17/2 + 8*f = 0. Calculate f.
-1, 17
Let b be (-12)/(-189)*(-99)/(-22). Factor -4/7 + b*o + 2/7*o**2.
2*(o - 1)*(o + 2)/7
Let f(q) = -q**3 + 13*q**2 - 59*q + 125. Let j be f(7). Find a such that -1/6*a**2 - j + 2*a = 0.
6
Let h(x) be the second derivative of -5/12*x**4 + 0 + 0*x**2 + 5/6*x**3 - 8*x. Factor h(p).
-5*p*(p - 1)
Let t(h) = -5*h**4 - 4*h**3 - 22*h**2 - 38*h - 18. Let c(q) = 3*q**4 + 3*q**3 + 22*q**2 + 40*q + 20. Let d(f) = -3*c(f) - 2*t(f). Suppose d(k) = 0. What is k?
-2, -1, 6
Let w(o) be the first derivative of 32/7*o - 1/14*o**4 - 2/3*o**3 - 60 - 8/7*o**2. Solve w(g) = 0 for g.
-4, 1
Let c(j) be the second derivative of j**4/18 - 4*j**3/3 + 11*j**2/3 + 22*j - 2. Factor c(l).
2*(l - 11)*(l - 1)/3
Let a(w) be the third derivative of 20*w**8/21 + 104*w**7/21 + 19*w**6/6 - 145*w**5/12 + 55*w**4/6 - 10*w**3/3 + 3*w**2 + 1. Determine n so that a(n) = 0.
-2, 1/4
Let s(x) be the third derivative of -x**6/360 - 11*x**5/180 - 17*x**4/36 - 4*x**3/3 + 135*x**2 + 2*x. Factor s(i).
-(i + 1)*(i + 4)*(i + 6)/3
Let f(u) = -u**3 - 19*u**2 - 18*u - 36. Let y be f(-19). Let s = 308 - y. Solve 4/3*j + s + 2/9*j**2 = 0 for j.
-3
Let k(b) be the second derivative of 5/2*b**3 - 3/4*b**5 + 0 + 1/6*b**6 - 5*b**2 + 5/12*b**4 - 5*b. Let k(n) = 0. What is n?
-1, 1, 2
Factor -78*y**4 - 12*y**3 + 98*y**3 + 160*y**4 - 100*y**4 - 16*y - 52*y**2.
-2*y*(y - 4)*(y - 1)*(9*y + 2)
Let l be (-4)/(-12) + 30/(-81). Let c = l - -83/54. Let c*a - 1 - 1/2*a**2 = 0. What is a?
1, 2
Let y(u) be the first derivative of -u**6/6 + 2*u**5 - 33*u**4/4 + 40*u**3/3 - 8*u**2 + 62. Determine h, given that y(h) = 0.
0, 1, 4
Let h(m) be the first derivative of -m**4/30 - 14*m**3/45 - 11*m**2/15 - 2*m/3 + 30. Suppose h(g) = 0. Calculate g.
-5, -1
Factor 4*d**3 - 32*d + 5*d**2 - 31 - d**2 - 17.
4*(d - 3)*(d + 2)**2
Let n = -15 - -17. Suppose t - 4*l = 1 - 13, 0 = n*t + 4*l - 12. Factor -1/4*u + 0*u**2 + 1/4*u**3 + t.
u*(u - 1)*(u + 1)/4
Let d(x) be the second derivative of 25/9*x**4 + 3/2*x**2 + 10/3*x**3 + 0 + 39*x. Find j such that d(j) = 0.
-3/10
Let s be 537/30*1 - 0. Let o = -82/5 + s. Factor -3/2*m**2 + 0*m + 0 - o*m**3.
-3*m**2*(m + 1)/2
Let o(i) be the first derivative of -i**3/6 + 5*i**2 + 69*i/2 + 74. Let o(x) = 0. Calculate x.
-3, 23
Let j(w) = -w**3 - 7*w**2 - 5*w + 6. Let p be j(-6). Determine y, given that -24*y + 4*y**2 - 36 - 7*y**2 + p*y**2 = 0.
-6, -2
Let l = -2/63 - -1/7. Let d(q) be the first derivative of 0*q - l*q**6 + 6 + 1/6*q**4 + 0*q**2 + 0*q**5 + 0*q**3. Factor d(h).
-2*h**3*(h - 1)*(h + 1)/3
Let h(z) be the first derivative of z**2 + 0*z**5 + 0*z**3 - z**4 - 30 + 0*z + 1/3*z**6. Factor h(u).
2*u*(u - 1)**2*(u + 1)**2
Let l(a) be the second derivative of -a**6/15 - 4*a**5/5 - a**4 + 8*a**3/3 + 7*a**2 - 2*a - 41. Solve l(g) = 0 for g.
-7, -1, 1
Let y = 27537 - 82592/3. Find z, given that -40/3*z**2 + 34/3*z**4 - 10/3*z**3 + y*z - 3*z**5 + 2 = 0.
-1, -2/9, 1, 3
Find k such that 20*k**4 + 5*k**5 - 2*k**5 + 28*k**4 + 23*k**4 - 68*k**4 - 15*k**3 + 9*k**2 = 0.
-3, 0, 1
Find y, given that -33/2*y - 3/8*y**2 + 0 = 0.
-44, 0
Let l = 53 + -1. Factor 5*g**2 + 38*g + 2 + 3 + 24*g - l*g.
5*(g + 1)**2
Let z(m) = -2*m**2 + 1. Let b(w) be the third derivative of w**5/60 - w**4/24 - w**3/6 + 28*w**2. Let n(h) = 3*b(h) + 3*z(h). Find v, given that n(v) = 0.
-1, 0
Let o = -1977 - -1979. Let b(y) be the first derivative of 4/3*y**3 - 12*y**o - 2 + 36*y. Factor b(l).
4*(l - 3)**2
Let h(i) be the first derivative of 1/11*i**2 + 2/11*i - 2/11*i**3 - 4/55*i**5 - 5/22*i**4 + 9. What is u in h(u) = 0?
-1, 1/2
Let d(g) be the third derivative of -g**5/330 - 13*g**4/132 - 10*g**3/11 + 720*g**2. Factor d(c).
-2*(c + 3)*(c + 10)/11
Factor 432 + 84*q**2 + 3*q**4 + 150*q + 438*q + 204*q + 92*q**2 + 115*q**2 - 66*q**3.
3*(q - 12)**2*(q + 1)**2
Let i be (-3*2)/((-10)/30). Let l be -5 + i + -2 + 3/15. Factor 16/5 + 2*w**3 + l*w + 44/5*w**2.
2*(w + 2)**2*(5*w + 2)/5
Let k(a) = a - 5. Let t be k(8). Let p be t + 12*(-8)/36. Find i, given that -p*i - 1/3*i**2 + 2/3 = 0.
-2, 1
Let u(b) be the second derivative of b**5/50 - 3*b**4/10 + 9*b**3/5 - 27*b**2/5 - 5*b - 18. Factor u(l).
2*(l - 3)**3/5
Factor 11664/5 + 216/5*s + 1/5*s**2.
(s + 108)**2/5
Let v be 6*(11 + (-252)/24). Let y(a) be the first derivative of 1/18*a**2 + 0*a - v - 2/27*a**3. Let y(s) = 0. What is s?
0, 1/2
Let t(y) be the first derivative of -y**5/10 - y**4/2 - y**3 - y**2 + 11*y + 7. Let l(o) be the first derivative of t(o). Factor l(g).
-2*(g + 1)**3
Let q(g) be the third derivative of -g**7/630 + 5*g**6/18 - 433*g**5/30 + 1225*g**4/18 - 2401*g**3/18 + 272*g**2 + 1. Find k such that q(k) = 0.
1, 49
Suppose -40*t - 42*t = -410. Let b(a) be the second derivative of t*a - 1/66*a**4 - 16/11*a**2 + 0 - 8/33*a**3. Factor b(i).
-2*(i + 4)**2/11
Factor 228*f - 4*f**5 - 40*f - 33*f**4 + f**4 - 48 + 168*f**3 + 128*f**2 - 400*f**2.
-4*(f - 1)**4*(f + 12)
Let h be -21 + (-10)/(-64)*136. Suppose 1/4*m**3 + 0*m + 0 - h*m**2 = 0. What is m?
0, 1
Let b(x) be the first derivative of 5*x**6/6 - 4*x**5 - 15*x**4/4 + 30*x**3 + 67. Let b(g) = 0. Calculate g.
-2, 0, 3
Let d(f) be the first derivative of f**7/8400 - f**6/1800 + f**5/1200 - 2*f**3 - 9. Let g(k) be the third derivative of d(k). Determine o so that g(o) = 0.
0, 1
Let x(i) be the first derivative of -i**8/3920 - i**7/1960 + i**3 + 11. Let o(g) be the third derivative of x(g). Factor o(q).
-3*q**3*(q + 1)/7
Suppose -5*y = -30, z - 2*y + 4 = -5. What is x in 0 - 3/8*x**2 - 1/8*x**4 + 3/8*x**z + 1/8*x = 0?
0, 1
Let n(y) be the second derivative of -y**4/12 - 26*y**3/3 - 51*y**2/2 + 432*y. Solve n(f) = 0 for f.
-51, -1
Let k(p) = 15*p + 4 - 5*p - p**3 + 3*p**2 - 6*p. Let q be k(4). Let -3 + 0*w - w**q + 0*w**3 + 4 + 2*w - 2*w**3 = 0. What is w?
-1, 1
Let n(s) be the first derivative of 14 - 16/3*s**3 + 0*s - s**4 - 8*s**2. Determine u so that n(u) = 0.
-2, 0
Suppose -9392 + 12*z + 3*z**2 + 9504 - 7*z**2 = 0. Calculate z.
-4, 7
Let a(m) be the third derivative of m**6/1620 + 31*m**3/6 - 5*m**2. Let c(u) be the first derivative of a(u). Solve c(r) = 0.
0
Solve 68 - 1/2*s**2 - 135/2*s = 0.
-136, 1
Let l(m) = 31*m**2 - 76*m + 18. Let d(b) = -7*b**2 + 19*b - 4. Let y(x) = 9*d(x) + 2*l(x). Find n such that y(n) = 0.
0, 19
Let c be 70/(-84)*(6/(-9) + (-2)/(-15)). Let n be 1/(-12)*8/(-3). Suppose -2/3*o**2 + n*o**4 - c + 10/9*o - 2/9*o**3 = 0. What is o?
-2, 1
Let z(t) be the second derivative of 5*t**5/32 - 5*t**4/12 + t**3/3 - 27*t. Factor z(j).
j*(5*j - 4)**2/8
Let q(v) be the second derivative of -7*v**4/12 - v**3/3 - 2*v + 39. Factor q(f).
-f*(7*f + 2)
Determine q so that -123/2*q + 159/4*q**2 + 39/4*q**3 + 3/4*q**5 + 24 - 51/4*q**4 = 0.
-2, 1, 16
Let o be (-3)/((-54)/12)*9/4. Let v(p) = -p + 3. Let a be v(0). Factor -o*h + 0 - 3/4*h**a + 9/4*h**2.
-3*h*(h - 2)*(h - 1)/4
Let g(s) be the second derivative of s**5/20 + s**4/12 - 2*s**3/3 - 2*s**2 + 166*s. Factor g(c).
(c - 2)*(c + 1)*(c + 2)
Let h(q) = 1233*q - 16025. Let v be h(13). Factor 0 + 2/9*a**v + 0*a**3 + 0*a - 2/9*a**2.
2*a**2*(a - 1)*(a + 1)/9
Let p = 396 + -394. Factor 48/7*b - 52/7*b**p + 24/7*b**3 - 16/7 - 4/7*b**4.
-4*(b - 2)**2*(b - 1)**2/7
Let b(h) = -h**2 - 14*h - 15. Let d be b(-13). Let v = 1 - d. Factor 2/3*j**2 + 0*j**4 - 2*j**v + 8/3*j**5 + 0*j + 0.
2*j**2*(j + 1)*(2*j - 1)**2/3
Let y be 2/(-6) + (-48)/(-36). Let x be -3 - ((-90)/21 + y). What is q in 0 - x*q**3 + 2/7*q**2 + 4/7*q = 0?
-1, 0, 2
Let i(d) be the first derivative of 21*d**4/4 + 2*d**3 - 18. Factor i(j).
3*j**2*(7*j + 2)
Let o(r) be the second derivative of -r**7/1260 + r**6/720 - 11*r**2/2 + 16*r. Let g(t) be the first derivative of o(