second derivative of -1/21*h**7 + 1/10*h**5 + 0 + 0*h**3 + 0*h**2 + 1/15*h**6 - 1/6*h**4 - 11*h. Factor y(w).
-2*w**2*(w - 1)**2*(w + 1)
Let o(t) be the second derivative of -t**6/10 - 45*t**5/4 + 77*t**4/2 + 53*t. Factor o(y).
-3*y**2*(y - 2)*(y + 77)
Let f be 8/(-3)*12/(-8). Factor 3*r**3 - 599 + r + 599 - f*r**2.
r*(r - 1)*(3*r - 1)
Let v(i) = i**2 - 31*i - 1089. Let p be v(-21). Find x such that 0 - 3/2*x**2 - 3/4*x - 3/4*x**p = 0.
-1, 0
Let m(y) be the third derivative of y**7/1960 - y**6/840 - 5*y**3/2 + 14*y**2. Let u(w) be the first derivative of m(w). Factor u(h).
3*h**2*(h - 1)/7
Let k be (-1 + (-22)/(-6))*(-117)/(-78). Let n(s) be the first derivative of 0*s**3 + 0*s - 1/28*s**k + 8 + 1/35*s**5 + 0*s**2. Let n(f) = 0. Calculate f.
0, 1
Suppose -12*r = -782 + 746. Determine x, given that 21/5*x**2 + 39/5*x**4 + 9*x**r + 0 + 12/5*x**5 + 3/5*x = 0.
-1, -1/4, 0
Let m(c) = c**3 - c**2 + c - 1. Let j(p) = 4*p**3 - 23*p**2 + 2*p - 7. Let l(h) = 4*j(h) - 36*m(h). Find w, given that l(w) = 0.
-2, -1, 1/5
Factor -4/3*d**4 - 300 - 640*d - 1144/3*d**2 - 128/3*d**3.
-4*(d + 1)**2*(d + 15)**2/3
Let z(q) = -11*q**2 + 24*q + 1. Let y(w) = 7*w**2 - 16*w - 1. Let o(m) = -8*y(m) - 5*z(m). Let g be o(8). Factor -2 + j - 2*j**2 - g*j + 3*j - 5*j.
-2*(j + 1)**2
Let y(a) = 6*a + 80. Let s be y(-13). Let r be ((-12)/(-6) - -1) + (-6)/s. Suppose r + 3/2*p + 3/4*p**2 - 3/4*p**3 = 0. Calculate p.
-1, 0, 2
Factor 32/3 - 2/3*b**3 - 14/3*b**2 - 16/3*b.
-2*(b - 1)*(b + 4)**2/3
Suppose -45*s - 6 = -46*s. Factor 15*f**2 - s*f - 12 - 5*f + 35*f.
3*(f + 2)*(5*f - 2)
Factor 30*f - 115/4 - 5/4*f**2.
-5*(f - 23)*(f - 1)/4
Let w(t) = 12*t**3 + 3*t**2 - 27*t - 18. Let o(b) = -12*b**3 - 4*b**2 + 26*b + 18. Let c(p) = -6*o(p) - 7*w(p). Let c(a) = 0. What is a?
-1, -3/4, 2
Let o(n) be the second derivative of -2*n**7/7 + 21*n**6/10 - 3*n**5/20 - 21*n**4/4 + 5*n**3/2 + 4*n + 1. Suppose o(q) = 0. What is q?
-1, 0, 1/4, 1, 5
Let r be ((-5)/10)/(-1) + 154/44. Factor 0*o + 0 + 4/9*o**2 - 2/9*o**3 - 2/9*o**r.
-2*o**2*(o - 1)*(o + 2)/9
Let b(n) be the first derivative of n**6/15 - 2*n**5/5 - n**4/5 + 4*n**3/3 + n**2/5 - 2*n + 51. Solve b(j) = 0 for j.
-1, 1, 5
Let h(r) be the second derivative of r**6/1440 - r**5/160 + r**3 + 20*r. Let p(z) be the second derivative of h(z). Factor p(y).
y*(y - 3)/4
Let r(y) be the first derivative of -16/7*y**2 + 20/7*y + 4 + 1/7*y**3. Let r(s) = 0. Calculate s.
2/3, 10
Let t = -1998/439 - -566382/39949. Let k = 140/13 - t. Factor 24/7*s - 10/7*s**2 - k.
-2*(s - 2)*(5*s - 2)/7
Let i(j) = 4*j**2 + 2*j + 1. Let f be i(-1). Suppose -3*c + 2 = -4*y - 1, -3*c = -2*y - f. Factor -2/7*w**4 + y*w**2 + 2/7 - 4/7*w + 4/7*w**3.
-2*(w - 1)**3*(w + 1)/7
Factor 28/5 + 2/5*i**2 + 18/5*i.
2*(i + 2)*(i + 7)/5
Let q = 8239/15 - 549. Let 2/15*u**5 + 2/5*u**2 + 2/15*u**3 - 2/5*u**4 - q*u + 0 = 0. What is u?
-1, 0, 1, 2
Let h = -8/5 + 5/3. Let k(s) be the first derivative of -1/10*s**2 + 2 + 1/5*s - h*s**3 + 1/20*s**4. Factor k(b).
(b - 1)**2*(b + 1)/5
Let p(m) be the second derivative of -m**6/50 + 6*m**5/25 - 23*m**4/20 + 14*m**3/5 - 18*m**2/5 + 2*m - 206. Let p(a) = 0. What is a?
1, 2, 3
Let z(q) = 6*q**2 - 41*q - 42. Let i(o) = -3*o**2 + 20*o + 21. Let f(b) = 5*i(b) + 2*z(b). Suppose f(c) = 0. What is c?
-1, 7
Let m(z) = -z**3 + 6*z**2 + 18*z - 75. Let n be m(7). Find u, given that 0*u + 1/3 - 1/3*u**n = 0.
-1, 1
Let d(t) be the second derivative of 1/2*t**3 - 1/12*t**4 + 0*t**2 + 0 - 22*t. Factor d(c).
-c*(c - 3)
Let z(p) be the third derivative of -p**6/120 - 33*p**5/20 - 100*p**4 + 1250*p**3/3 + 238*p**2. Let z(f) = 0. Calculate f.
-50, 1
Suppose 46/3*x - 4/9 - 68/9*x**2 = 0. What is x?
1/34, 2
Let z(m) = 196 - 191 - 17*m**3 + m**3 - m**2 + 3*m. Let n be z(-2). Factor -119 + n - 4*g**2 + 0*g**2.
-4*(g - 1)*(g + 1)
Let p(d) be the first derivative of d**5 - 145*d**4/2 + 1495*d**3 - 4060*d**2 + 3920*d - 261. Let p(s) = 0. What is s?
1, 28
Let m(v) be the first derivative of -1/36*v**4 - 1/27*v**3 + 1/9*v + 1/18*v**2 + 9. Suppose m(j) = 0. Calculate j.
-1, 1
Let r = -735 + 737. Factor -2/11*i - 6/11*i**3 - 6/11*i**r + 0 - 2/11*i**4.
-2*i*(i + 1)**3/11
Suppose 98*t + 80 + 10 = 143*t. Let 6/11*p**t - 2/11*p**4 - 4/11 - 2/11*p + 2/11*p**3 = 0. What is p?
-1, 1, 2
Let b(p) be the first derivative of 5*p**4/12 + 26*p**3/3 + 43*p**2/6 - 10*p - 219. Let b(w) = 0. Calculate w.
-15, -1, 2/5
Let b be (-1*(-2)/6)/(765/85). Let q(t) be the second derivative of 0 + 2/9*t**2 - 14/27*t**4 - 2*t - b*t**3. Let q(o) = 0. Calculate o.
-2/7, 1/4
Solve 1/3*w**4 - 13/3*w**3 + 0 + 0*w + 4*w**2 = 0.
0, 1, 12
Factor -12 + 38*q - 2*q**5 + 5*q - 59*q**4 - 28*q**2 + 67*q**4 - 9*q.
-2*(q - 3)*(q - 1)**3*(q + 2)
Let y = 4315/8622 - 2/4311. Determine n, given that y*n**3 + 0*n**2 + 0 - 1/2*n = 0.
-1, 0, 1
Let k(w) be the second derivative of -3/20*w**4 + 0 + 9/5*w**2 - 6*w - 7/10*w**3. Determine c so that k(c) = 0.
-3, 2/3
Suppose h - d = 1, -5*h + 32 = -5*d + 9*d. Let s(v) be the second derivative of -v**3 + 1/45*v**6 + 1/6*v**5 + 1/6*v**h + 0 + 0*v**2 - 6*v. Factor s(y).
2*y*(y - 1)*(y + 3)**2/3
Let f be (9/4 + 0)/((-9)/(-48)). Suppose -3*m + 3*j + f = 0, -2*m + 5*j + 14 + 0 = 0. Let -18/7*g + 0 - 32/7*g**3 - 48/7*g**m = 0. What is g?
-3/4, 0
Let c be 234/780*(-10)/(-4). Factor c*u**4 - u - 1/2*u**2 - 1/4 + u**3.
(u - 1)*(u + 1)**2*(3*u + 1)/4
Let t = -5 - -6. Let c be (-48)/(-8)*t/2. Factor -4*y**4 + 4*y**2 + 0 - 4*y**c + y + 0 + 3*y.
-4*y*(y - 1)*(y + 1)**2
Find o such that -48/5*o**2 - 21/5*o**3 + 0 - 36/5*o - 3/5*o**4 = 0.
-3, -2, 0
Let h(c) = 65*c**2 - 65*c. Let u(n) = -11*n**2 + 11*n. Let v(g) = -g**2 - 2. Let k be v(-2). Let i(x) = k*h(x) - 35*u(x). Factor i(o).
-5*o*(o - 1)
Let v(k) be the third derivative of -2/3*k**5 + 1/21*k**7 - 5/3*k**3 - 16*k**2 - 5/336*k**8 + 1/12*k**6 + 35/24*k**4 + 0*k + 0. Let v(t) = 0. Calculate t.
-2, 1
Let d(j) = -1. Let k(t) = -8*t**2 - 324*t + 160. Let f(b) = 4*d(b) - k(b). Find x, given that f(x) = 0.
-41, 1/2
Determine y, given that 0 + 1/7*y**2 - 103/7*y = 0.
0, 103
Let m(t) be the first derivative of -t**4/8 + 19*t**3/6 + 21*t**2/2 + 357. Factor m(j).
-j*(j - 21)*(j + 2)/2
Let v(x) be the third derivative of 13/1080*x**6 - 12*x**2 + 0*x + 1/135*x**5 - 1/54*x**4 + 0*x**3 + 1/378*x**7 + 0. What is w in v(w) = 0?
-2, -1, 0, 2/5
Suppose -8*z = -10*z. Suppose z = 4*u - 12. Solve 3*k**4 - 6*k + k**u + 8*k**3 - 3*k**3 - 3*k**2 = 0.
-2, -1, 0, 1
Suppose -1000/3 - 28/3*r**4 + 1/3*r**5 - 430/3*r**2 + 241/3*r**3 - 1700/3*r = 0. Calculate r.
-1, 10
Let v = -959 + 963. Let u(j) be the third derivative of -1/12*j**3 - 1/120*j**5 + 0*j + 1/24*j**v - 9*j**2 + 0. Solve u(a) = 0 for a.
1
Let a(t) be the second derivative of -108*t**4 + 168*t**3 - 98*t**2 - 13*t + 14. Determine q so that a(q) = 0.
7/18
Suppose -4*k + j = 4*j - 8, 9 = 3*k + 3*j. Let h be 4/(-3)*k*57/266. Factor h*p**2 - 4/7*p**3 + 0 + 2/7*p**4 + 0*p.
2*p**2*(p - 1)**2/7
Let w = 628 + -628. Let h(v) be the third derivative of w*v**6 + 0*v**4 + 1/20*v**5 - 1/70*v**7 + 0*v**3 + 13*v**2 + 0*v + 0. What is k in h(k) = 0?
-1, 0, 1
Let i(t) = t**3 + 6*t**2 - 8*t - 4. Let u be i(-7). Find d, given that u*d**2 - 113*d**3 + 108*d**3 + 12*d**2 = 0.
0, 3
Let n(l) = -3*l - 56. Let b be n(-20). Solve 6*m + 0*m**2 - 4 - 3*m**2 - 6*m**3 + 2*m**b + 5*m**2 = 0 for m.
-1, 1, 2
Let c(n) be the first derivative of n**6/12 - 3*n**4/8 - n**3/3 + 115. Find h such that c(h) = 0.
-1, 0, 2
Suppose -p + 0 = -7. Let x(u) = u - 5. Let o be x(p). Find q, given that 144*q - o*q**3 + 7*q**3 + 192 + 36*q**2 - 2*q**3 = 0.
-4
Let w**2 + 9381 + 53*w + 307*w + 7683 - 72*w + 3672 = 0. What is w?
-144
Suppose -3*t = -5*y - 0*y - 36, 3*t - 4*y = 33. What is d in 3*d**3 - t*d**3 - 2*d - d**4 - 19*d**2 + 14*d**2 = 0?
-2, -1, 0
Let w(p) = p**2 - 11*p + 15. Let n be w(10). Suppose -k + n*k = 8. Let -4*f**2 + k - 2*f**2 + f**2 + 3*f**2 = 0. Calculate f.
-1, 1
Suppose -q - 9 + 6 = 0. Let b be ((-6)/(-20))/(q/(-5)). Factor 13/2*a**2 - 3*a - 6*a**3 + b + 2*a**4.
(a - 1)**2*(2*a - 1)**2/2
What is h in -75*h**2 + 48*h**3 + 12*h**5 - 195*h**4 + 35*h**3 + 120*h**4 + 43*h**3 + 12*h = 0?
0, 1/4, 1, 4
Let b(f) be the second derivative of 0 - 1/6*f**6 + 0*f**2 + 0*f**3 - f + 5/12*f**4 + 0*f**5. Factor b(h).
-5*h**2*(h - 1)*(h + 1)
Let g be 40/25 + (-2)/(