vative of -2*g**3/3 - 12*g**2 - 72*g - 18. Factor i(s).
-2*(s + 6)**2
Let l(m) be the first derivative of 49*m**6/30 + 14*m**5/25 + m**4/20 - 21. Find b, given that l(b) = 0.
-1/7, 0
Let t(u) = u**3 - 6*u**2 - 2*u - 8. Let i be t(6). Let k be i/16*(-6)/3. Factor 0 + k*s**2 + s.
s*(5*s + 2)/2
Let b(t) be the second derivative of t**5/80 + t**4/48 - t**3/24 - t**2/8 - 2*t. Factor b(h).
(h - 1)*(h + 1)**2/4
Suppose 0*l + 0*l**2 + 0 - 1/5*l**5 + 0*l**3 + 1/5*l**4 = 0. Calculate l.
0, 1
Suppose -81 - 3 = -2*c. Let r = c + -208/5. Find h such that 6/5*h + 6/5*h**2 + 2/5*h**3 + r = 0.
-1
Suppose -b = 4*b - 10. Solve 12*o**3 - 4*o**4 + 2*o**5 + b*o - 15*o**2 - 4*o**4 + 7*o**2 = 0 for o.
0, 1
Let x(i) be the first derivative of 1/9*i**3 + 2/3*i**2 - 1 - 1/18*i**4 + 2*i. Let s(g) be the first derivative of x(g). Factor s(q).
-2*(q - 2)*(q + 1)/3
Suppose -2*j + 0 - 15 = -s, 4*s + 6 = -3*j. Let x = -4 - j. Factor 3*p**2 - 4*p**4 - x*p**3 + 0*p**4 + 2*p + p**2.
-2*p*(p - 1)*(p + 1)*(2*p + 1)
Let x(s) = -s**2 + 10*s - 15. Let h(g) = 10*g**2 - 90*g + 135. Let k(a) = 6*h(a) + 55*x(a). Determine m so that k(m) = 0.
-3, 1
Let q(b) be the second derivative of 0*b**3 - b + 0*b**2 + 1/5*b**6 + 3/20*b**5 + 0*b**4 + 0 + 1/14*b**7. Factor q(x).
3*x**3*(x + 1)**2
Let w(q) be the second derivative of 5*q**7/42 + q**6/2 - 9*q**5/4 + 25*q**4/12 - 7*q. Let w(u) = 0. Calculate u.
-5, 0, 1
Let j be -2 + ((-2)/(-6))/((-77)/(-1320)). Let 24/7*v**4 - 46/7*v**3 - 4/7*v + j*v**2 + 0 = 0. Calculate v.
0, 1/4, 2/3, 1
Let m(h) be the third derivative of 0*h - 1/420*h**6 + 0*h**3 - h**2 + 0*h**4 - 1/735*h**7 + 0 + 0*h**5. Factor m(g).
-2*g**3*(g + 1)/7
Suppose -12*h = -11*h + 11*h. Determine l, given that -3/2*l + 0 - 3*l**2 + h*l**3 + 3*l**4 + 3/2*l**5 = 0.
-1, 0, 1
Let h(n) = -9*n**2 + 12*n + 18. Let m(f) = 19*f**2 - 25*f - 35. Let u(y) = -13*h(y) - 6*m(y). Suppose u(o) = 0. What is o?
-2, 4
Suppose 9*f - 4*f - 20 = 0. Let c(u) = -u**4 + 1. Let l(q) = -6*q**4 - 2*q**3 + 2*q + 6. Let g(d) = f*l(d) - 28*c(d). Let g(s) = 0. What is s?
-1, 1
Let q(j) be the second derivative of -j**6/180 - j**5/30 + 4*j**3/9 + j**2 - 2*j. Let a(v) be the first derivative of q(v). Suppose a(o) = 0. What is o?
-2, 1
Let r be (-4)/6 - 5772/144. Let i = 41 + r. Factor i - 1/4*b**2 + 0*b.
-(b - 1)*(b + 1)/4
Suppose 4 = -w + 8. Determine f, given that -2/3*f**3 + 0 + 0*f**2 - 2/3*f**w + 0*f = 0.
-1, 0
Let v(b) be the second derivative of -b**4/9 - 4*b**3/9 + 2*b**2 + 21*b. Factor v(u).
-4*(u - 1)*(u + 3)/3
Let w = 1 - -2. Suppose -7*s + 35 + 49 = 0. Find b, given that -23*b**4 - 4*b**4 + 14*b**3 - 14*b**w + 39*b**2 - s = 0.
-1, -2/3, 2/3, 1
Let z(f) be the third derivative of -f**8/1848 + f**6/660 - 6*f**2. Factor z(y).
-2*y**3*(y - 1)*(y + 1)/11
Let u(d) be the first derivative of -2*d**5/55 - 3*d**4/22 - 2*d**3/11 - d**2/11 - 15. Find i such that u(i) = 0.
-1, 0
Let i be -3*(0 - -4)/(-20). Factor -9/5*j + 12/5*j**2 + 0 - i*j**3.
-3*j*(j - 3)*(j - 1)/5
Let x = -108 + 9073/84. Let i(f) be the third derivative of 0*f**3 - f**2 - 1/210*f**5 + 0 + x*f**4 + 0*f. Factor i(z).
-2*z*(z - 1)/7
Let d(f) be the third derivative of -f**8/3360 + f**7/1680 + f**6/720 - f**5/240 + f**3/6 + 2*f**2. Let q(v) be the first derivative of d(v). Solve q(z) = 0.
-1, 0, 1
Let t(q) be the second derivative of q**7/210 - q**6/40 + q**5/60 - q**3 + 6*q. Let r(b) be the second derivative of t(b). Factor r(n).
n*(n - 2)*(4*n - 1)
Let a = -35/6 - -13/2. Factor -1/3*s**3 - a*s + 0 - s**2.
-s*(s + 1)*(s + 2)/3
Let y(q) = q - 3. Let w be y(6). Let v = 5 - w. Factor v*f + 0*f - 3*f**2 + f**2.
-2*f*(f - 1)
Let 0 + 2/5*w - 4/5*w**2 = 0. What is w?
0, 1/2
Solve 0*x - 2/7*x**5 + 0*x**2 + 0 + 0*x**3 + 4/7*x**4 = 0.
0, 2
Let m(n) be the third derivative of n**8/6720 - n**7/1120 + n**5/120 + n**3/2 + 3*n**2. Let z(t) be the first derivative of m(t). Factor z(i).
i*(i - 2)**2*(i + 1)/4
Let w(x) be the third derivative of -x**7/70 + 3*x**6/40 - x**5/20 - 3*x**4/8 + x**3 - 11*x**2. What is n in w(n) = 0?
-1, 1, 2
Let m(b) = -19*b - 74. Let r be m(-4). Solve -1/4 + 1/2*n - 1/4*n**r = 0 for n.
1
Determine t so that 0 + 0*t**3 + 0*t - 1/5*t**5 + 0*t**2 + 0*t**4 = 0.
0
Let s be ((-20)/(-25))/(2/5). Let h be -3*(1 - (-7)/(-3)). Let -2*z**h + z**2 - z**s + 2*z**3 + 2*z**2 - 2*z = 0. Calculate z.
-1, 0, 1
Let n(a) be the third derivative of -a**7/1575 + a**6/450 - a**5/450 - 3*a**2. Suppose n(j) = 0. Calculate j.
0, 1
Let z = -10 - -19. Let c be (-14)/((-6)/z*3). Find p, given that -p**4 - p**2 - c*p + 4*p**4 - 2 + 5*p**3 + 2*p = 0.
-1, -2/3, 1
Suppose 0 = -5*w - 34 + 9, w - 20 = -5*c. Let f(a) be the third derivative of 1/240*a**c - 1/32*a**4 + a**2 + 0 + 1/12*a**3 + 0*a. Let f(y) = 0. What is y?
1, 2
Let l = -22/13 - -162/65. Factor -2/5*g**2 - l*g + 0.
-2*g*(g + 2)/5
Determine h so that h**2 - 13*h**5 + 6*h**4 - 7*h**2 + 4*h**5 + 9*h**3 = 0.
-1, 0, 2/3, 1
What is a in 8*a**3 - 7*a**3 - 20*a**2 - 6*a**3 = 0?
-4, 0
Let p be (-9)/174*16/(-60). Let b = p - -268/1595. Factor -2/11*s + 2/11*s**3 - b*s**2 + 2/11.
2*(s - 1)**2*(s + 1)/11
Let j(p) = -p**2 + 3*p - 2. Let y be j(1). Let i(u) be the second derivative of -2*u + 1/2*u**2 + 1/12*u**4 + y + 1/3*u**3. Find a, given that i(a) = 0.
-1
Let f(x) be the second derivative of -x**4/3 + 28*x**3/3 - 98*x**2 - 2*x. Factor f(c).
-4*(c - 7)**2
Let x(s) = 15*s**3 + 3*s**2 - 48*s - 72. Let u(h) = 6*h**3 + h**2 - 19*h - 29. Let d(z) = -12*u(z) + 5*x(z). Let d(y) = 0. Calculate y.
-2, -1, 2
Factor 0*q**2 - q**4 + 6*q**3 + 0*q**2 - 3*q**2 - 2*q**4.
-3*q**2*(q - 1)**2
Let w(i) be the third derivative of i**6/180 - i**5/45 + 9*i**2. Determine s so that w(s) = 0.
0, 2
Let f(g) be the second derivative of -1/6*g**4 + 5/24*g**3 + 1/20*g**5 + 0 - 1/8*g**2 + 3*g. Factor f(i).
(i - 1)*(2*i - 1)**2/4
Let y = 42 + -37. Let x(k) be the third derivative of 0*k**4 + 1/735*k**7 + 0*k + 0 + 0*k**3 + 3*k**2 + 1/210*k**y + 1/210*k**6. Suppose x(r) = 0. What is r?
-1, 0
Let 1/4*d**2 + 1/4*d - 1/2 = 0. What is d?
-2, 1
Let h = 13 - 129/10. Let m(o) be the second derivative of -1/3*o**3 + 0*o**2 + 0*o**4 + h*o**5 - 2*o + 0. Factor m(k).
2*k*(k - 1)*(k + 1)
Let x(b) = -5*b + 29. Let v be x(5). What is s in -4/9 + 14/9*s**3 - 14/9*s - 8/9*s**v + 4/3*s**2 = 0?
-1, -1/4, 1, 2
Suppose 0 = 4*u - f - 17, f = -5*u - 2*f. Suppose -2*b - 2*k + u*k = 4, 0 = -4*b + 3*k - 12. Solve -1/3*o**3 + 0 + b*o**2 + 1/3*o = 0.
-1, 0, 1
Let n(g) be the first derivative of g**8/1680 - g**7/210 + 2*g**5/15 - 2*g**4/3 - g**3 + 2. Let s(d) be the third derivative of n(d). Find y such that s(y) = 0.
-2, 2
Factor 0 + 2/15*y**4 - 2/15*y**2 - 2/15*y**3 + 2/15*y.
2*y*(y - 1)**2*(y + 1)/15
Factor 1/4*b**4 + 1/4*b**2 + 3/4*b - 3/4*b**3 - 1/2.
(b - 2)*(b - 1)**2*(b + 1)/4
What is w in 5*w**4 - 8*w**2 + 5*w**2 - 2*w**2 = 0?
-1, 0, 1
Let c(x) = x + 2. Let v be c(8). Suppose 12 - 9*i**2 - v*i + 31*i + 22 - 16 = 0. Calculate i.
-2/3, 3
Let b(n) be the second derivative of -1/15*n**6 + 0 - 4/3*n**3 + n - n**2 - n**4 - 2/5*n**5. Suppose b(v) = 0. What is v?
-1
Suppose -d - d = -8. Let g(m) be the second derivative of m + 0*m**2 + 0*m**3 - 1/42*m**d + 0. Factor g(a).
-2*a**2/7
Let u(c) be the second derivative of c**5/80 - c**4/16 + c**3/8 - c**2/8 - 4*c. Solve u(n) = 0.
1
Find k, given that -225*k + 375 + 58*k**2 - 3*k**3 - 4*k**2 - 9*k**2 = 0.
5
Let g = -122 - -126. Solve 1/3*b - 1/3*b**g - 1/3*b**3 + 0 + 1/3*b**2 = 0 for b.
-1, 0, 1
Let x = 3 + -6. Let i be (-7 - -1)/(x/4). Determine t, given that -1/2*t**2 + 0 - 4*t**3 + 0*t - i*t**4 = 0.
-1/4, 0
Let x(g) be the second derivative of g**6/45 + 3*g**5/20 + 7*g**4/18 + g**3/2 + g**2/3 - 8*g + 3. Let x(k) = 0. Calculate k.
-2, -1, -1/2
Factor 0 + 1/4*i**2 + 0*i.
i**2/4
Let v(c) be the second derivative of 5*c - 13/54*c**4 + 0*c**2 - 1/15*c**6 + 2/9*c**5 + 0 + 2/27*c**3. Solve v(i) = 0.
0, 2/9, 1
Let n(s) be the second derivative of s**7/420 + s**6/60 + s**5/20 + s**4/12 - s**3/6 + 9*s. Let t(u) be the second derivative of n(u). Solve t(k) = 0 for k.
-1
Let l(g) = g**3 + 60*g**2 + 58*g - 59. Let m be l(-59). Solve -5/2*t**2 + m - t**3 - t = 0 for t.
-2, -1/2, 0
Let p(a) = -a**3 - 2*a**2 + 5*a + 2. Let z(c) = 2*c**3 + 7*c**2 - 16*c - 7. Let i(q) = 7*p(q) + 2*z(q). Factor i(w).
-3*w*(w - 1)*(w + 1)
Let m(q) = q**3 - 2*q**2 - 4*q 