the second derivative of -3/16*o**4 - 3/80*o**5 + 0 - 6*o + 0*o**3 + 3/2*o**2. Suppose d(m) = 0. Calculate m.
-2, 1
Let o be (-20)/(-6) - 2/6. Factor -8*t**2 - 9 - 4*t + 9 + 2*t - 6*t**o.
-2*t*(t + 1)*(3*t + 1)
Let l(v) be the third derivative of v**5/570 + 26*v**4/19 + 8112*v**3/19 - 657*v**2. Solve l(y) = 0 for y.
-156
Suppose 3*o + c + c = 0, -c = 3. Suppose -2*r**o + 7 + 30*r - 40*r + 5 = 0. What is r?
-6, 1
Let g(q) = -36*q**2 + 1580*q + 568. Let y(s) = 12*s**2 - 526*s - 190. Let m(w) = -5*g(w) - 14*y(w). Find c such that m(c) = 0.
-1/3, 45
Suppose 16*v - 3137*v**3 - 16*v**4 - 4*v**5 + 3125*v**3 + 17*v**2 - v**2 = 0. What is v?
-2, -1, 0, 1
Let u(y) be the third derivative of -y**7/42 + 97*y**6/120 - 73*y**5/10 - 85*y**4/6 + 100*y**3/3 - y**2 - 6*y. Factor u(c).
-(c - 10)**2*(c + 1)*(5*c - 2)
Let q(d) = 2*d**2 - 20*d + 4. Let w be q(10). Let n be ((-16)/(-24))/(2/w). Factor 0*h**4 + 0*h**2 - n*h + 8/3*h**3 + 0 - 4/3*h**5.
-4*h*(h - 1)**2*(h + 1)**2/3
Let z(o) = -24*o**3 + 835*o**2 - 9703*o + 2110. Let f(p) = -70*p**3 + 2504*p**2 - 29110*p + 6332. Let l(q) = 3*f(q) - 8*z(q). Factor l(j).
-2*(j - 23)**2*(9*j - 2)
Let k = 250/51 - 1546/357. Factor 0 + 36/7*r**3 + 16/7*r**5 - k*r**2 - 44/7*r**4 - 4/7*r.
4*r*(r - 1)**3*(4*r + 1)/7
Let q(l) be the third derivative of -l**7/420 + 3*l**6/40 - 2*l**5/5 + 23*l**4/24 - 5*l**3/4 + 2*l**2 + 3*l. Determine u so that q(u) = 0.
1, 15
Let k be ((-6)/12)/(16/(-40)). Factor k + 0*z - 5/4*z**2.
-5*(z - 1)*(z + 1)/4
Let i(p) = 3 + p**3 - 11*p + 7 + p**2 + 3 - 10*p**2. Let t be i(10). Determine x so that -1/2*x**4 + 0*x**2 + 1/2 + x - x**t = 0.
-1, 1
Factor -5/2*w**3 + 0 - 1/2*w**4 + 9/2*w - 3/2*w**2.
-w*(w - 1)*(w + 3)**2/2
Let m(b) be the second derivative of 0*b**2 + 0*b**3 - 10*b + 1/9*b**4 + 0 + 9/10*b**6 - 3/5*b**5. Determine z so that m(z) = 0.
0, 2/9
Let m = -531 + 2135/4. Let j = m + -5/2. Let 3/4*l**2 + j*l + 3/4*l**3 + 1/4*l**4 + 0 = 0. What is l?
-1, 0
Factor 4/11*b - 30/11 + 2/11*b**2.
2*(b - 3)*(b + 5)/11
Let b(c) = -c**3 + 8*c**2 - 7*c + 3. Let i be b(7). Determine r, given that -3*r**3 - 2 + 3*r - r**4 - i + 9*r**2 - 2*r**4 - 1 = 0.
-2, -1, 1
Let g(m) be the second derivative of m**4/12 - m**3/3 - 3*m**2/2 - 4*m - 1. Suppose g(t) = 0. Calculate t.
-1, 3
Let w(k) be the third derivative of -8/21*k**5 + 1/1176*k**8 + 0*k**3 - 4/245*k**7 + 0*k + 0 - 32*k**2 + 4/7*k**4 + 4/35*k**6. Factor w(y).
2*y*(y - 6)*(y - 2)**3/7
Let d(o) be the third derivative of o**5/12 + 25*o**4/12 + 125*o**3/6 - 320*o**2. Factor d(a).
5*(a + 5)**2
Let j be 7*(-19)/(285/(-10)). Let y = 2 + 0. Suppose -j*w**4 + y*w**2 + 2*w**5 + 2*w**3 - 4/3*w + 0 = 0. What is w?
-2/3, 0, 1
Factor 6*c + 15/2 - 3/2*c**2.
-3*(c - 5)*(c + 1)/2
Suppose -3*b + 12 = 3*m, -m - 3 = -2*b - 1. Suppose -22*j - j**b - 13*j + 108 - j + 4*j**2 = 0. Calculate j.
6
Let p(o) be the first derivative of 2*o**6/33 - 9*o**5/55 + 3*o**4/22 - o**3/33 - 3. Factor p(z).
z**2*(z - 1)**2*(4*z - 1)/11
Let s(n) be the first derivative of n**4/2 - 13*n**2 - 24*n - 603. Suppose s(c) = 0. What is c?
-3, -1, 4
Let h(i) = -14*i**3 - 2*i**2 - i + 1. Let k be h(-1). Suppose 4*f - 2 = 5*t, -2*f + 6*f = -t + k. Factor 0*d + 0 - 2/3*d**3 + 2/3*d**t.
-2*d**2*(d - 1)/3
Let 4*n**3 + 28*n**2 + 8*n**2 + 15 + 49 + 96*n = 0. Calculate n.
-4, -1
Let c(p) be the second derivative of -3*p**5/50 + 2*p**4/15 + p**3/15 - 2*p**2/5 - p - 1. Suppose c(u) = 0. Calculate u.
-2/3, 1
Let g = -2050 - -4101/2. Solve -1/2*r**5 + 3/2*r**4 + 0 - 3/2*r**2 - g*r**3 + r = 0 for r.
-1, 0, 1, 2
Let g(l) be the second derivative of l**4/12 + l**3 - 7*l**2/2 + l + 13. Let r be g(-7). Solve 0*b**2 + 2/9*b**4 + 0 + r*b**3 + 0*b = 0.
0
Let u = 400 - 400. Let g(o) be the first derivative of u*o + 1/6*o**4 + 0*o**2 + 0*o**5 - 1/27*o**6 + 4/27*o**3 + 2. Determine n so that g(n) = 0.
-1, 0, 2
Let o(s) be the first derivative of -9/8*s**6 + 7 - 12*s + 117/20*s**5 - 6*s**3 + 18*s**2 - 15/2*s**4. Suppose o(t) = 0. Calculate t.
-1, 2/3, 2
Let r = 14 + -11. Suppose 3*z + 3 = -4*x + 8, -x + r = -z. Factor 0*w**3 + 3*w + 3*w**x + 1 - 2*w**3 + 4*w**3 - w**3.
(w + 1)**3
Let u(r) = 30*r - 718. Let i be u(24). Find k such that 0*k - 1/8*k**3 + 0*k**i - 3/8*k**4 + 0 - 1/4*k**5 = 0.
-1, -1/2, 0
Let b(r) be the third derivative of -r**6/780 + 38*r**5/195 - 361*r**4/39 + 16*r**2 + 2*r. Let b(y) = 0. Calculate y.
0, 38
Let l(r) be the third derivative of r**5/12 - 15*r**4/8 - 25*r**3/3 + 507*r**2. Factor l(f).
5*(f - 10)*(f + 1)
Let o(r) = -2*r**3 - 252*r**2 + 2670*r - 8. Let v(w) = -w**3 - 84*w**2 + 891*w - 3. Let n(x) = 3*o(x) - 8*v(x). Factor n(i).
2*i*(i - 21)**2
Let l(y) be the second derivative of -1/6*y**4 + 0 + 5/12*y**3 - 5*y + 1/40*y**5 - 1/2*y**2. Find a such that l(a) = 0.
1, 2
Let l(v) = -v**2 - 17*v - 12. Let x be l(-16). Let -151 + 80*k**2 + 213 - 12*k**4 + 55*k**3 + 194 + 9*k**3 - 384*k - x*k**5 = 0. What is k?
-4, 1, 2
Let v(h) = -2*h**4 - 11*h**3 + 13*h**2 - 3. Let t(w) = -3*w**4 - 21*w**3 + 27*w**2 - 5. Let l(c) = 3*t(c) - 5*v(c). Factor l(s).
s**2*(s - 4)**2
Factor 3*k**2 + 2623 - 24680 - 10587 + 1434*k + 116276 + 87731.
3*(k + 239)**2
Suppose -3 = -3*i + 3. Let g(k) = k**2 + 9*k + 12. Let f be g(-8). What is p in 3*p**f + 4*p**i + 3*p**3 - p**2 - 3*p - 6*p**2 = 0?
-1, 0, 1
Let y be (-3*(-2)/96)/((-1)/(-12)). Let z be 6/(-28)*(-63)/6. Factor -3/2*f - z + y*f**2.
3*(f - 3)*(f + 1)/4
Let h = -16 + 25. Let f be (6/h)/(-3 - (-76)/24). Find m, given that 0 - 2*m**2 + 2/3*m**3 - 4/3*m + 2/3*m**5 + 2*m**f = 0.
-2, -1, 0, 1
Let t(l) = 4*l**3 - 3*l**2 - 4*l. Let n(b) = -3*b**3 + 2*b**2 + 3*b. Let a = 34 - 32. Let u(z) = a*t(z) + 3*n(z). Factor u(g).
-g*(g - 1)*(g + 1)
Let -52/11*u**2 + 338/11*u + 2/11*u**3 + 0 = 0. Calculate u.
0, 13
Let h(v) be the second derivative of 7*v + 0 + 0*v**2 - 1/42*v**4 - 1/21*v**3. Factor h(n).
-2*n*(n + 1)/7
Suppose p + 3*p - 70 = -3*o, -124 = -5*o - 3*p. Let y be o/6 - 3/9. Factor 2*c**y - 9*c**3 - 2*c**3 + 9*c**3.
2*c**3*(c - 1)
Let d(t) be the first derivative of -t**5/5 - 85*t**4/8 - 7*t**3 - 406. Suppose d(y) = 0. What is y?
-42, -1/2, 0
Let w(o) be the first derivative of -o**6/360 - o**5/180 + o**4/72 + o**3/3 + 5*o + 47. Let d(i) be the third derivative of w(i). Factor d(q).
-(q + 1)*(3*q - 1)/3
Let i(w) be the third derivative of -w**7/630 + w**6/180 + w**5/20 - w**4/36 - 4*w**3/9 - 3*w**2 - 1. Let i(k) = 0. What is k?
-2, -1, 1, 4
Find h, given that 293*h**3 - 10*h**4 + 10*h**2 + 0*h**5 - 288*h**3 + 0*h**4 - 5*h**5 = 0.
-2, -1, 0, 1
Let k(l) = -2*l**3 - 28*l**2 - 112*l - 113. Let w(o) = 3*o**3 + 55*o**2 + 224*o + 227. Let d(x) = -5*k(x) - 3*w(x). Factor d(h).
(h - 29)*(h + 2)**2
Let g(a) be the second derivative of -a**4/36 + 130*a**3/9 - 8450*a**2/3 + 93*a + 5. Let g(h) = 0. Calculate h.
130
Let l(k) = -20*k + 80. Let x be l(4). Let f(g) be the second derivative of 3*g + x - 1/30*g**6 - 1/5*g**5 - 1/2*g**4 - 2/3*g**3 - 1/2*g**2. Solve f(i) = 0.
-1
Let v = -1/44 + 7/66. Let w(t) be the second derivative of -v*t**4 + 0 - 2*t**2 + 2/3*t**3 - 5*t. Solve w(y) = 0.
2
Find j, given that -j**4 - 11 + j**4 + 8*j**2 - 5 - j**4 = 0.
-2, 2
Let q(y) be the first derivative of 4*y**3/3 - 216*y**2 + 11664*y + 579. Factor q(u).
4*(u - 54)**2
Find h, given that -5*h**4 - 54653*h**2 + h + 25 - 31*h + 30*h**3 + 54633*h**2 = 0.
-1, 1, 5
Let v = 1310 + -9166/7. Let 2/7*j**2 + 0 - v*j = 0. What is j?
0, 2
Let t(s) be the third derivative of -2*s**7/105 - 2*s**6/15 - s**5/5 + 2*s**4/3 + 8*s**3/3 + 50*s**2. Determine d so that t(d) = 0.
-2, -1, 1
Let u = -8 - -10. Suppose -v - u*b - 22 = 3*b, -v + 13 = -2*b. Let 8*y**2 - v*y**3 - 4*y**2 - 3*y**4 - 6*y**4 + 2*y**2 = 0. Calculate y.
-1, 0, 2/3
Let q(f) be the first derivative of -f**6/2 - 12*f**5/5 + 15*f**4/2 + 28*f**3 + 45*f**2/2 - 282. Suppose q(c) = 0. Calculate c.
-5, -1, 0, 3
Let c(i) be the first derivative of -i**4/12 + 13*i**3/9 - 2*i**2 + 1. Let c(a) = 0. Calculate a.
0, 1, 12
Let r = -90492/5 - -18099. Suppose 6/5*z**2 + 27/5*z**3 + r*z**4 + 216/5 - 252/5*z = 0. Calculate z.
-6, 1, 2
Let o(a) = -a**3 - 3*a**2 + 5*a + 7. Let m be o(-4). Let -4*p + p**3 + 2 + 0*p**4 + p**4 - m*p**2 + 3*p = 0. Calculate p.
-2, -1, 1
Let j(n) be the first derivative of -n**2/2 + 9*n - 15. Let u be j(5). Find i, given that -2*i - u - 1/4*i**2 = 0.
-4
Solve -2/5