 14*i - 2*i**3. Factor q(r).
3*r**2
Let m(o) be the second derivative of o + 0 + 4/3*o**2 - 2/3*o**3 + 1/9*o**4. Solve m(f) = 0.
1, 2
Let i = -21 - -23. Factor 18*x**4 + 3*x - 2*x**4 - 15*x - 8*x - 8*x**i - 8 + 16*x**3 + 4*x**5.
4*(x - 1)*(x + 1)**3*(x + 2)
Let d(q) be the second derivative of q**7/315 + q**6/180 - q**5/45 + 45*q**2/2 - 49*q. Let m(c) be the first derivative of d(c). Solve m(h) = 0.
-2, 0, 1
Factor 0 + 0*a + 1/3*a**5 - 1/3*a**4 + 1/3*a**2 - 1/3*a**3.
a**2*(a - 1)**2*(a + 1)/3
Let -14/9*h + 0 - 2/9*h**2 = 0. What is h?
-7, 0
Suppose 142 = 62*h - 106. Suppose -h + 2*q - 1/4*q**2 = 0. Calculate q.
4
Solve -34*w**2 + 26*w**3 + 38 + 36*w**3 - 63*w - 15*w**4 + 38 - 27 + w**5 = 0 for w.
-1, 1, 7
Let r(b) be the second derivative of -b**6/75 - 7*b**5/25 - 5*b**4/6 - 4*b**3/5 + 32*b. Determine n, given that r(n) = 0.
-12, -1, 0
Let l(b) be the first derivative of b**4/24 - b**3/3 + 3*b**2/4 + 9*b - 6. Let v(y) be the first derivative of l(y). What is h in v(h) = 0?
1, 3
Let o(c) = c**3 + 45*c**2 + 166*c + 85. Let x be o(-41). Solve 0 + 0*b + 2/5*b**4 + 2/5*b**2 - 4/5*b**x = 0.
0, 1
Let o(c) be the second derivative of 13/15*c**4 + 8/5*c**2 + 3/25*c**5 + 32/15*c**3 - 13*c + 0. Factor o(m).
4*(m + 2)**2*(3*m + 1)/5
Let b(q) be the first derivative of -2*q**5/7 + q**4/2 + 12*q**3/7 - 4*q**2 + 16*q/7 - 111. Let b(u) = 0. What is u?
-2, 2/5, 1, 2
Let w(z) = z**2 - 92*z - 93. Let f(l) = 2*l**2 - 92*l - 94. Let m(g) = -3*f(g) + 2*w(g). Factor m(j).
-4*(j - 24)*(j + 1)
Let a be (-14)/(-16) - 1 - (-19124)/(-96). Let w = a - -202. Find i, given that -w - 1/6*i**2 - 4/3*i = 0.
-4
Let n(i) be the second derivative of i**4/21 + 4*i**3/7 - 2*i**2 - 230*i. Factor n(u).
4*(u - 1)*(u + 7)/7
Find j, given that 850*j**3 - 448*j**3 + 240 - 480*j**2 - 700*j - 437*j**3 = 0.
-12, -2, 2/7
Let i(y) be the third derivative of -4/3*y**3 + 8/105*y**7 - 3/10*y**6 - 2/15*y**5 + 0 + 3/2*y**4 + 3*y**2 + 0*y. Solve i(d) = 0 for d.
-1, 1/4, 1, 2
Let z(p) be the first derivative of -8*p**5 + 15*p**4 + 29 + 30*p + 10/3*p**3 - 65/2*p**2 + 5/6*p**6. Let z(g) = 0. What is g?
-1, 1, 6
Let u = -12996/5 + 2602. What is m in -18/5*m**2 - 2/5*m**4 - u*m - 2*m**3 - 4/5 = 0?
-2, -1
Suppose -4*q - 2*m + 20 = 0, -m + 0 = -2*q + 18. Factor -25 - 4*z**4 + 20*z**2 + q*z + 4*z**3 + 25 + 5*z.
-4*z*(z - 3)*(z + 1)**2
Let r = 1 - -1. Let v = 85521/19 - 4501. Factor -6/19*k**r + v*k + 0 + 6/19*k**3 - 2/19*k**4.
-2*k*(k - 1)**3/19
Factor -6/11*r**2 + 0 + 2/11*r**3 + 0*r.
2*r**2*(r - 3)/11
Let g(b) be the third derivative of b**7/1260 - b**6/90 + b**5/20 + 5*b**4/12 - b**2. Let t(s) be the second derivative of g(s). Let t(m) = 0. What is m?
1, 3
Let u(a) = -19*a**2 + 291*a - 88. Let w be u(15). Factor w*k**4 - 18/5*k**2 - 2/5*k**5 + 0*k - 6/5*k**3 + 0.
-2*k**2*(k - 3)**2*(k + 1)/5
Suppose -5*n + 2 - 21 = 2*k, -25 = 2*n - 5*k. Let a(o) = 6*o**3 - o**2 - 5. Let m(p) = 5*p**3 - p - 4. Let h(j) = n*m(j) + 4*a(j). Factor h(u).
-u*(u - 1)*(u + 5)
Let i be (4/(-6))/((-2)/12). Let b(v) be the first derivative of -4*v - 1 + 3 + v**2 + i*v**2 - 2*v**3 - 1. Factor b(g).
-2*(g - 1)*(3*g - 2)
Suppose -4 = -k, -5*s - 4*k - 2 = -11*s. Factor -8*y - 1/2*y**s + 0 - 4*y**2.
-y*(y + 4)**2/2
Let q(t) be the first derivative of 8/9*t - 4/9*t**2 + 1/18*t**4 - 2/27*t**3 + 11. Find s, given that q(s) = 0.
-2, 1, 2
Let m(y) be the third derivative of -4*y**2 - 1/105*y**7 + 1/30*y**5 - 1/168*y**8 + 1/60*y**6 + 0 + 0*y**4 + 0*y + 0*y**3. Factor m(o).
-2*o**2*(o - 1)*(o + 1)**2
Suppose -5*w - 2*j + 421 = 0, -w + 4*w - 3*j = 261. What is u in -80*u**5 + 35*u**4 + 7*u**4 - 2*u**4 + w*u**2 + 195*u**3 + 10*u = 0?
-1, -1/4, 0, 2
Suppose -v + 7*v + 108 = 0. Let x = -8 - v. Factor 2*j + 0*j**2 - x*j - 8*j**2 - 8 + 6*j**2.
-2*(j + 2)**2
Let y = 6751 - 6749. Factor -y - 2/3*x + 2/3*x**3 + 2*x**2.
2*(x - 1)*(x + 1)*(x + 3)/3
Let b be 1/(-300)*18/27*-3. Let i(o) be the third derivative of -15*o**2 + 0*o**3 - 2/75*o**5 - 1/20*o**6 + 0 + 0*o**4 + 0*o - b*o**7. Factor i(w).
-w**2*(w + 4)*(7*w + 2)/5
Let u(k) be the second derivative of -k**6/10 - 19*k**5/10 - 29*k**4/4 - 12*k**3 - 10*k**2 - 155*k. Let u(r) = 0. What is r?
-10, -1, -2/3
Let a be (-6*40/15)/5 - -4. What is w in 0 + 2/15*w**4 + 8/5*w**2 - 16/15*w - a*w**3 = 0?
0, 2
Suppose -n - 16 = -3*n. Suppose 2*i + 18 = n*i. Factor 23/5*a**2 - 4*a + 4/5 - 7/5*a**i.
-(a - 2)*(a - 1)*(7*a - 2)/5
Let u(v) be the second derivative of v**8/3360 + v**7/420 - v**6/90 + v**4/6 + 33*v. Let c(j) be the third derivative of u(j). Find f, given that c(f) = 0.
-4, 0, 1
Let l be ((-3)/9 - -2)*(-224)/(-70). Let -8/3 - 2/3*c**3 - 10/3*c**2 - l*c = 0. Calculate c.
-2, -1
Let j(l) be the first derivative of -3*l**4/4 + 9*l**2/2 - 6*l - 52. Factor j(f).
-3*(f - 1)**2*(f + 2)
Let l(g) be the first derivative of 11*g**4/10 - 62*g**3/15 - 6*g**2/5 + 394. Solve l(f) = 0 for f.
-2/11, 0, 3
Let z(d) be the first derivative of 12*d - 4/5*d**5 + 1 - 4*d**4 + 8*d**2 - 8/3*d**3. Find x such that z(x) = 0.
-3, -1, 1
Let a be ((-14)/4)/((-2)/(-24)). Let v be ((-112)/30)/2 - (a - -40). Factor -2/15*s**2 - v + 4/15*s.
-2*(s - 1)**2/15
Factor -24/5*i**2 - 18/5 - 39/5*i - 3/5*i**3.
-3*(i + 1)**2*(i + 6)/5
Let l(w) = -7*w**3 + 6*w**2 - 18*w. Let t(p) = p**3 - p**2 + 3*p. Let f(b) = l(b) + 6*t(b). Determine s so that f(s) = 0.
0
Let r be 34/(-3) + (13 - 1). Factor 1/3*t**3 - r - t + 0*t**2.
(t - 2)*(t + 1)**2/3
Let h(w) be the second derivative of w**7/56 + 7*w**6/120 - w**4/12 + 221*w. Determine c, given that h(c) = 0.
-2, -1, 0, 2/3
Let l(h) = -h**3 + 14*h**2 - 24*h + 3. Let j be l(12). What is w in w**2 - j*w**3 + 2*w**3 - w**3 - 5*w**2 = 0?
-2, 0
Solve 0*i - 5/4*i**4 + 15*i**2 + 0 + 5*i**3 = 0.
-2, 0, 6
Let f(w) be the third derivative of w**5/140 + 3*w**4/56 - 5*w**3/7 + 12*w**2 - 3. Factor f(a).
3*(a - 2)*(a + 5)/7
Let d(s) be the first derivative of 4/3*s**3 + 1/42*s**4 - 1/1260*s**6 + 0*s**2 + 1/420*s**5 + 0*s + 2. Let j(y) be the third derivative of d(y). Factor j(o).
-2*(o - 2)*(o + 1)/7
Let g(a) be the second derivative of -a**6/90 + a**5/30 + 7*a**4/36 + 2*a**3/9 - 156*a. Factor g(i).
-i*(i - 4)*(i + 1)**2/3
Let d be (-32)/(-196)*175/100. Solve -2/7 + 0*s + d*s**2 = 0.
-1, 1
Let i(r) be the third derivative of 2*r**7/105 + 7*r**6/15 - 16*r**5/15 - 7*r**4/3 + 10*r**3 + 333*r**2. Factor i(s).
4*(s - 1)**2*(s + 1)*(s + 15)
Let i be 0*2/(-6) + 310 + -310. Factor 1/5*j**2 + i*j + 1/5*j**3 + 0 - 1/5*j**5 - 1/5*j**4.
-j**2*(j - 1)*(j + 1)**2/5
Let o(l) be the first derivative of -414*l**3 + 10 + 413*l**3 + 3*l + 10. Find m, given that o(m) = 0.
-1, 1
Let s(l) be the third derivative of -5/8*l**4 + 0 + 9*l**2 - 1/12*l**5 + 0*l**3 + 0*l. Factor s(t).
-5*t*(t + 3)
Let p(d) be the third derivative of 1/12*d**5 - 5/12*d**4 + d**2 + 0*d**3 + 0 + 0*d. Factor p(f).
5*f*(f - 2)
Let w(a) be the second derivative of 49*a**4/8 + 7*a**3/2 + 3*a**2/4 - 4*a - 1. Factor w(t).
3*(7*t + 1)**2/2
Let p(f) = -2*f + 19. Let w be p(10). Let l be w - (-6)/14 - (-32)/56. Solve l*q**2 - 3/4*q**4 - 3/4*q**3 + 0*q + 0 = 0.
-1, 0
Let o = 1120/5931 + 22/659. Solve 0 - 8/9*q + o*q**2 = 0 for q.
0, 4
Solve 113/2*y - 12769/4 - 1/4*y**2 = 0 for y.
113
Let y(p) be the first derivative of 0*p + 0*p**2 + 2 - 21/20*p**4 + 3/5*p**3. Suppose y(i) = 0. Calculate i.
0, 3/7
Let t = -260 - -265. Factor -2/3*y**t - 4/3*y**4 + 0*y**3 + 0 + 2/3*y + 4/3*y**2.
-2*y*(y - 1)*(y + 1)**3/3
Let y be (0/(-2) - 10) + -2. Let x = y - -14. Let -18*c**2 - 12 - 6*c**2 + 25*c - 4*c**3 - 53*c + 4*c**x = 0. Calculate c.
-3, -1
Let u(c) = c**4 + c**3 + c**2 - 3*c - 1. Let x(t) = 3*t**4 - 53*t**3 - 777*t**2 + 945*t + 1678. Let a(z) = 4*u(z) - x(z). Let a(d) = 0. Calculate d.
-29, -1, 2
Let f(p) be the first derivative of p**4/20 + p**3/15 - 3*p**2/5 + 343. Factor f(a).
a*(a - 2)*(a + 3)/5
Factor x**2 + 40 - 17*x - 21*x - 3*x.
(x - 40)*(x - 1)
Let j be (-24)/(-182) - (-300)/1950. Let 54/7 - 54/7*f - j*f**3 + 18/7*f**2 = 0. What is f?
3
Factor -2/7*k**2 + 40/7*k - 200/7.
-2*(k - 10)**2/7
Suppose 30 - 27 = r. Suppose -l + 7 = 5*m, r*l = -l + m + 7. Solve -1/2*z**l - 1/2*z - 1/6 - 1/6*z**3 = 0.
-1
Suppose -6*n**4 + 0 - 18/5*n**2 + 46/5*n**3 + 2/5*n = 0. What is n?
0, 1/5, 1/3, 1
Suppose 1258*y = 1247*y + 22. Let n(g) be the first derivative of 3/4*g**4 - g**5 - 3/2*g**2 - 8 + 7