tor i(g).
-(g - 3)*(g - 1)*(g + 1)/3
Let i(o) be the third derivative of -o**8/1680 - o**7/75 - 11*o**6/150 - 2*o**5/15 - 272*o**2. Solve i(h) = 0.
-10, -2, 0
Let v(c) be the second derivative of 1/10*c**5 + 0*c**4 + 0 - 13*c - 3*c**2 - 1/60*c**6 + 0*c**3. Let b(g) be the first derivative of v(g). Factor b(u).
-2*u**2*(u - 3)
Let a(w) be the second derivative of -1/5*w**6 + 5/6*w**4 - 1/3*w**3 - 2*w**2 + 1/10*w**5 + 0 + 7*w. Suppose a(n) = 0. Calculate n.
-1, -2/3, 1
Suppose 6*m = 24 + 84. Suppose m*o - 39 = 5*o. Factor 1/3*x + 1/3*x**2 - 1/3*x**o - 1/3.
-(x - 1)**2*(x + 1)/3
Let x(c) be the second derivative of 3*c**5/100 - 9*c**3/10 - 4*c - 10. Solve x(b) = 0.
-3, 0, 3
Let s(l) be the third derivative of l**8/1008 - l**7/336 - l**6/144 - 7*l**5/30 + 2*l**2. Let g(i) be the third derivative of s(i). Let g(z) = 0. Calculate z.
-1/4, 1
Let c(k) be the third derivative of 1/4*k**4 - 1/30*k**5 + 0 + 0*k + 8*k**2 + 0*k**3. Find p, given that c(p) = 0.
0, 3
Let x(p) be the first derivative of -p**5/220 + p**4/33 - 5*p**3/66 + p**2/11 + 13*p + 13. Let n(h) be the first derivative of x(h). Factor n(g).
-(g - 2)*(g - 1)**2/11
Suppose -r = -5*r + 12. Suppose -2*m - 2*n + 4*n = -8, 3*m + r*n = 0. Determine f so that -6*f**2 + 5 - 6*f**3 - 10 + 9*f**4 + 9*f - 3*f**5 + m = 0.
-1, 1
Let l(f) be the third derivative of 5/3*f**3 + 7*f**2 - 5/8*f**4 + 1/12*f**5 + 0*f + 0. Factor l(g).
5*(g - 2)*(g - 1)
Let c(b) = -9*b - 26. Let s be c(-4). Factor 20*j**2 + s - 14*j + 6*j**3 - j**3 + 39*j.
5*(j + 1)**2*(j + 2)
Solve -27*i - 3*i**3 + 2*i**3 + 9*i**3 - 12 - 18*i**2 - 11*i**3 = 0 for i.
-4, -1
Let d(j) = 23*j + 897. Let s be d(-39). Factor 2/3*r**3 + 2/3*r + s + 4/3*r**2.
2*r*(r + 1)**2/3
Let o(i) be the third derivative of 5*i**8/336 + i**7/14 + i**6/12 - i**5/6 - 5*i**4/8 - 5*i**3/6 - 8*i**2 - 2. Solve o(c) = 0 for c.
-1, 1
Let r(j) be the first derivative of j**4/16 + j**3/12 - j**2/8 - j/4 - 586. Solve r(u) = 0.
-1, 1
Factor -5618/9 - 214/9*t**2 - 2/9*t**3 - 5830/9*t.
-2*(t + 1)*(t + 53)**2/9
Let y(r) be the first derivative of r**4/8 + r**3 - 4*r + 38. Let c(v) be the first derivative of y(v). Find a, given that c(a) = 0.
-4, 0
Let j = -15 - -22. Suppose -j*k + 2*k = 0. Suppose 4 - x**3 + 3*x + k*x**3 - 2 = 0. What is x?
-1, 2
Let n(q) be the second derivative of -q**7/6300 + q**6/450 - q**5/75 + 5*q**4/12 - 3*q. Let y(i) be the third derivative of n(i). Factor y(w).
-2*(w - 2)**2/5
Let t(x) = -x + 1. Let b(r) = -r**2 - r + 3. Suppose -4*s = -s - 9. Let a(u) = s*t(u) - b(u). Factor a(f).
f*(f - 2)
Let q(o) be the third derivative of 0*o**3 + 1/20*o**6 + 0 + 0*o**4 + 1/70*o**7 + 1/20*o**5 - 10*o**2 + 0*o. Solve q(c) = 0.
-1, 0
Let 4/3 - r + 1/6*r**2 = 0. What is r?
2, 4
Find g such that 223*g + 5*g**4 - 68*g - 55*g - 25*g**3 - 20*g**2 = 0.
-2, 0, 2, 5
Let a(z) be the second derivative of -z**6/45 + 3*z**5/8 - 29*z**4/24 + 55*z**3/36 - 3*z**2/4 - 4*z - 3. Determine n so that a(n) = 0.
1/4, 1, 9
Factor -1952 - 230*q - 192 + 1209 - 1710 - 5*q**2.
-5*(q + 23)**2
Let v = -98796/35 - -2823. Let t(l) be the second derivative of 8/7*l**3 + 0 - 4/7*l**2 + 3/7*l**6 - v*l**5 - 5/6*l**4 - 2*l. Find o, given that t(o) = 0.
-1, 1/3, 2/5, 2/3
Let c(q) be the third derivative of 15*q**2 + 32/21*q**4 + 0*q**3 - 16/35*q**5 - 2/735*q**7 + 0 + 0*q + 2/35*q**6. Factor c(b).
-4*b*(b - 4)**3/7
Suppose 4*f + 164 = 4*w, -f + 43 = 6*w - 5*w. Suppose -w*b - 78*b - 774 - 126 - 4*b**2 = 0. Calculate b.
-15
Find y, given that -y - 14*y**2 - 6 + 11*y**2 + 10*y = 0.
1, 2
Suppose 3*o + 3*s - 15 = 0, -5*s + 3 = -3*o + 10. Suppose -3*r - 4 = -0*m - 5*m, -o*m = 3*r - 14. Factor 3 + 0*g**2 + 0*g**2 - 3*g**m.
-3*(g - 1)*(g + 1)
Let h(c) be the third derivative of -c**7/112 - c**6/20 - c**5/20 + 4*c**3/3 + 4*c**2. Let b(t) be the first derivative of h(t). Factor b(v).
-3*v*(v + 2)*(5*v + 2)/2
Let d be 5/2 - (-1)/(-2). Determine c so that 6*c**d - c**2 + 81*c - 61*c + 20 = 0.
-2
Suppose z + u = -11, -2*z = 2*z + 2*u + 34. Let d = z - -9. Solve d*b - 6 + 1 + 5*b**2 + 3 = 0 for b.
-1, 2/5
Factor -5/2*q + 2 + 1/4*q**3 + 1/4*q**2.
(q - 2)*(q - 1)*(q + 4)/4
Suppose 0 = 2*r + 25*r - 81. Let z(a) be the second derivative of 1/21*a**4 - 1/147*a**7 - 1/35*a**6 - 1/35*a**5 + 1/7*a**2 + 1/7*a**3 - r*a + 0. Factor z(t).
-2*(t - 1)*(t + 1)**4/7
Suppose 3/4*v**2 + 3*v + 3 = 0. Calculate v.
-2
Let j(d) be the first derivative of d**3/3 - 6*d**2 - 28*d - 584. Suppose j(g) = 0. What is g?
-2, 14
Let f(n) be the second derivative of n**6/75 + 2*n**5/25 - 7*n**4/30 - 2*n**3/3 - 3*n + 30. Solve f(p) = 0.
-5, -1, 0, 2
Let w(j) be the third derivative of -8*j**7/315 + 3*j**6/10 - 9*j**5/10 - 31*j**4/36 + 4*j**3/3 + 61*j**2. Find q, given that w(q) = 0.
-1/2, 1/4, 3, 4
Let k(w) = -w**3 - 3*w**2 - w. Let l be k(-2). Let y be (45/10)/(l/(-4)). Factor 0*p**3 + 13*p + 2*p**2 - y*p - 2*p**3.
-2*p*(p - 2)*(p + 1)
Let a(o) = 20*o**2 + 20*o. Let s(b) = -b**2 + 4 - 4 - b. Let y(x) = 2*a(x) + 36*s(x). Factor y(p).
4*p*(p + 1)
Let v = 26/135 - -64/135. Find d, given that 0 + 10/3*d - 8/3*d**2 - v*d**3 = 0.
-5, 0, 1
Let p(x) be the second derivative of 18*x + 0*x**2 + 0*x**3 + 1/84*x**7 - 1/24*x**4 - 1/40*x**5 + 0 + 1/60*x**6. Factor p(b).
b**2*(b - 1)*(b + 1)**2/2
Let w(b) = -3*b**2 - 2*b + 1. Let z(v) = 0*v**2 - 3 - 1 - 7*v - v**2. Let m be z(-7). Let g(f) = -3*f**2 - f + 2. Let l(x) = m*g(x) + 5*w(x). Solve l(a) = 0.
-1
Let z(a) be the first derivative of a**7/3360 - a**6/160 + 9*a**5/160 - 9*a**4/32 + 7*a**3/3 - 1. Let r(x) be the third derivative of z(x). Factor r(p).
(p - 3)**3/4
Let d(n) = -5*n**2 - 5*n + 5. Let s(y) = -2*y**2 - 3*y + 3. Suppose f + 0*o = o - 3, 0 = 3*f + o + 17. Let r(m) = f*s(m) + 3*d(m). Suppose r(c) = 0. What is c?
0
Let d(n) be the second derivative of -1/4*n**2 + 7/12*n**3 - 25*n - 5/8*n**4 + 0 + 9/40*n**5. Factor d(f).
(f - 1)*(3*f - 1)**2/2
Suppose -3*w = -5*t - 29, -w - 13 = 5*t + 4. Let u be ((-1)/((-9)/6))/(w + -1). Solve -u*n**2 + 1/3 + 0*n = 0.
-1, 1
Let j(x) be the third derivative of x**6/120 + x**5/30 + x**4/8 - 8*x**2. Let g(z) = -2*z**3 - 4*z**2 - 7*z. Let v(h) = 4*g(h) + 10*j(h). Factor v(s).
2*s*(s + 1)**2
Let j(z) be the first derivative of -z**4/16 + z**3/4 + 3*z**2 - 20*z + 287. Let j(d) = 0. What is d?
-5, 4
Let n(u) be the third derivative of u**5/80 + 43*u**4/32 - 11*u**3/2 - 405*u**2. Determine a so that n(a) = 0.
-44, 1
Let x(h) be the first derivative of -4 + 3/8*h**5 + h**4 + 6*h - 3/2*h**2 + 1/4*h**3. Let j(t) be the first derivative of x(t). Factor j(d).
3*(d + 1)**2*(5*d - 2)/2
Let n(f) = f**3 - 4*f**2 - 6*f + 7. Let j = -2 + 7. Let w be n(j). Solve -9 - 5*t**2 + 1 + 5*t**w + 2*t**2 - 6*t = 0.
-1, 4
Let l(y) be the third derivative of 0 - 1/504*y**8 - 1/105*y**7 + 0*y - 1/90*y**5 - 18*y**2 + 0*y**4 - 1/60*y**6 + 0*y**3. Solve l(w) = 0 for w.
-1, 0
Factor -1/5*u**2 - 7396/5 + 172/5*u.
-(u - 86)**2/5
Factor -10*a**2 - a**3 - 3 - 16*a**2 - 10*a**2 + 9 - 13*a + 44*a**2.
-(a - 6)*(a - 1)**2
Let j = -26057 + 26057. Solve j + 3/2*m**3 + 3*m - 9/2*m**2 = 0 for m.
0, 1, 2
Let n(m) be the second derivative of m**8/84 - m**7/168 - m**6/18 + m**5/24 - 8*m**3/3 - m. Let y(s) be the second derivative of n(s). Factor y(u).
5*u*(u - 1)*(u + 1)*(4*u - 1)
Let q(c) = -c**3 - 15*c**2 - 18*c - 2. Let f be q(-11). Let a be -1 + -3 + f/(-54). Factor 4/3*d + a - d**2.
-(d - 2)*(3*d + 2)/3
Let j(b) be the first derivative of b**6/18 - 13*b**5/45 + 4*b**4/9 - 4*b**3/27 + 91. Factor j(f).
f**2*(f - 2)**2*(3*f - 1)/9
Let o be (24/13)/((-436)/(-1308)). Determine j, given that 98/13*j**4 + 252/13*j**3 + 8/13 + o*j + 218/13*j**2 = 0.
-1, -2/7
Let h(d) = -d**2 - d - 1. Let a(k) = -2*k**3 + 10*k**2 - 4*k + 2. Let z = 49 + -48. Let r(c) = z*a(c) + 2*h(c). Let r(j) = 0. What is j?
0, 1, 3
Factor -48/5*r**2 + 46/5*r + 14/5*r**3 - 12/5.
2*(r - 2)*(r - 1)*(7*r - 3)/5
Let d = 125 - 122. What is j in -8*j**4 + 56*j**2 - 96*j**d - 48*j + 7*j**2 - j**4 + 77*j**2 = 0?
-12, 0, 2/3
Let u = -16370/3 + 5347. Let j = u - -111. Factor 1/6*h**5 + 0 + 4*h**2 + 3/2*h + j*h**4 + 11/3*h**3.
h*(h + 1)**2*(h + 3)**2/6
Suppose 0 = 5*q + 29 - 39. Let v(b) be the first derivative of -q + 5/8*b**2 - 1/16*b**4 + 3/4*b + 1/12*b**3. Suppose v(w) = 0. Calculate w.
-1, 3
Suppose -3*y = 3*d - 24, 383*y + 4*d - 11 = 386*y. Factor -2*m**y