16*q**4 + 0 - 27/80*q**5 + 0*q**2. Factor o(p).
3*p*(p - 3)**3/4
Let v(h) be the third derivative of -h**7/1680 + 11*h**5/240 - h**4/8 - 15*h**3/16 - 91*h**2. What is n in v(n) = 0?
-5, -1, 3
Let v(p) be the third derivative of 13*p**5/105 - 32*p**4/21 - 10*p**3/21 - 2*p**2 + 95*p. What is m in v(m) = 0?
-1/13, 5
Let a(p) be the second derivative of -5*p**4/12 + 10*p**3/3 + 25*p**2/2 - 10*p - 6. Find c, given that a(c) = 0.
-1, 5
Let p = -14/93117 - 1515944522/1582989. Let z = 958 + p. Solve 2/17*y**3 + 0*y - z*y**2 + 8/17 = 0.
-1, 2
Let a(l) = 4*l**3 + 8*l**2 + 2. Let i(w) = 9*w**3 + 19*w**2 + 2*w + 5. Let y(p) = 5*a(p) - 2*i(p). Let y(s) = 0. What is s?
-2, 0, 1
Suppose 4*s - 7*s = -6. Suppose v**2 - 3*v**3 - 12*v - v**3 + 15*v**s = 0. What is v?
0, 1, 3
Suppose 42*c = 32*c + 40. Let j be 2*-1*(-48)/3. Suppose j*k**2 - 10*k**4 - 18*k**3 - 2*k + 4*k**5 + 6*k**3 + 2*k**c - 14*k = 0. What is k?
-2, 0, 1, 2
Let a be (-4)/(-3) + (-21)/70 + (-134)/(-30). Find m, given that -2*m**2 + a*m + 3/2 = 0.
-1/4, 3
Factor 26/17*h - 2/17*h**2 + 28/17.
-2*(h - 14)*(h + 1)/17
Let i = -3 - -13. Suppose -q = 5*d + 2*q - 10, 2*q - i = -5*d. Let 6*j**d - 23*j**3 - 6*j**4 + 5*j**5 + 4*j**5 + 14*j**3 = 0. What is j?
-1, 0, 2/3, 1
Let g(p) be the second derivative of p**6/2340 + 7*p**5/780 - 2*p**4/39 - 26*p**3/3 - 16*p. Let q(m) be the second derivative of g(m). Factor q(u).
2*(u - 1)*(u + 8)/13
Let c be (-21)/2*(96/(-8) - -10). Let a be (-7)/c - 5/(-6). Solve -a*n**3 - 3/4*n**4 + 3/4*n + 1/2*n**2 - 1/4*n**5 + 1/4 = 0 for n.
-1, 1
Let d(i) = -8*i**4 + 7*i**3 - 6*i**2 - 35*i - 23. Let r(u) = 11*u**4 - 6*u**3 + 7*u**2 + 36*u + 24. Let j(l) = 4*d(l) + 3*r(l). Let j(y) = 0. Calculate y.
-10, -1, 2
Let z(m) be the first derivative of 2/3*m**3 + 5/2*m**4 - 11/10*m**5 - 35 + 0*m + 0*m**2. Factor z(q).
-q**2*(q - 2)*(11*q + 2)/2
Let p(c) be the first derivative of 0*c**2 + 0*c**5 + 0*c**4 - c**3 + 1/72*c**6 - 8 + 0*c. Let d(b) be the third derivative of p(b). Factor d(r).
5*r**2
Let l(k) = k**3 + 3*k**2 - 4*k + 3. Let b be l(-4). Suppose 0*v = -b*v - 5*u + 40, 3*u = -2*v + 25. Factor -9*q - q + v*q**3 + 8*q**4 - 2 - 6*q**2 + 5*q**3.
2*(q - 1)*(q + 1)**2*(4*q + 1)
Factor -52*u**3 + 72*u + 77*u**3 + 24*u**2 - 23*u**3.
2*u*(u + 6)**2
Suppose 0 = -20*r + 21*r + 1. Let v be (r/2 - -5)*1/3. Determine y so that 1/2*y**2 - v + y = 0.
-3, 1
Let f(g) be the second derivative of -2*g**7/7 - 34*g**6/15 + 6*g**5/5 - 126*g. Solve f(j) = 0 for j.
-6, 0, 1/3
Let t(f) = 55*f**4 - 340*f**3 + 285*f**2 + 65. Let m(s) = 5*s**4 - 31*s**3 + 26*s**2 + 6. Let n(l) = 65*m(l) - 6*t(l). Find b, given that n(b) = 0.
0, 1, 4
Let b(s) be the third derivative of s**9/80640 + s**8/26880 - s**7/3360 + s**5/30 + 10*s**2. Let q(k) be the third derivative of b(k). Factor q(v).
3*v*(v - 1)*(v + 2)/4
Let c(u) be the third derivative of -u**7/420 + u**6/30 - 23*u**5/120 + 7*u**4/12 - u**3 + 95*u**2 + 1. Find b such that c(b) = 0.
1, 2, 3
Let m(y) be the third derivative of y**7/245 - 19*y**6/420 + 17*y**5/105 - y**4/21 - 8*y**3/7 + 16*y**2 - 5*y. Let m(u) = 0. What is u?
-2/3, 2, 3
Let t = -12991/3 - -4337. Factor -t + 14/3*p**2 + 22*p.
2*(p + 5)*(7*p - 2)/3
Let x(f) be the first derivative of -4/9*f + 1 - 1/9*f**2 + 2/27*f**3. Factor x(d).
2*(d - 2)*(d + 1)/9
Let l(x) be the third derivative of -6*x**7/35 - x**6/10 + x**5/3 - x**4/6 - 61*x**2 - 3*x. Determine g, given that l(g) = 0.
-1, 0, 1/3
Let r(u) = -u**2 - 10*u - 11. Let o be r(-8). Suppose o*v = 4*v + 17. Factor v*y**2 - 6*y - 14*y**3 - 3*y**5 + 9*y**4 + 4*y**2 + 6*y**4 - 13*y**3.
-3*y*(y - 2)*(y - 1)**3
Let y(r) = 2*r**2 - 20*r + 53. Let h(i) = -12*i**2 + 100*i - 264. Let a(z) = -3*h(z) - 16*y(z). Solve a(p) = 0.
-7, 2
Let y(x) be the first derivative of -x**6/105 + x**5/70 + x**4/42 - x**3/21 - 5*x + 4. Let l(k) be the first derivative of y(k). Solve l(p) = 0 for p.
-1, 0, 1
Suppose 4*k + 4*z = 84, 0 = k + 5*z - 10*z - 21. Let b be (1 + 0 + -2)/((-7)/k). Determine l, given that 2*l + 4/5*l**2 - 2*l**b - 4/5 = 0.
-1, 2/5, 1
Let y be -3 + 6*(1 + 1). Let z = 12 - y. Let g(k) = -2*k**3 + 3*k**2 + 6*k + 4. Let d(h) = 5*h**3 - 9*h**2 - 17*h - 11. Let j(r) = z*d(r) + 8*g(r). Factor j(s).
-(s + 1)**3
Suppose 2*b - 2*h = 10, -b + 6*b - 19 = 3*h. Factor 2*a**5 - 108*a**3 + b*a**4 - 38*a**4 - 5*a**5.
-3*a**3*(a + 6)**2
Let y(n) be the third derivative of -1/12*n**5 - n**2 + 5/3*n**4 - 40/3*n**3 + 0 + 0*n. Factor y(d).
-5*(d - 4)**2
Suppose 45 = 2*f + 269. Let t = f + 564/5. Factor 0*u**2 - t*u**3 + 2/5 + 4/5*u - 2/5*u**4.
-2*(u - 1)*(u + 1)**3/5
Suppose 0 = -2*v + r + 250, 3*r = -2*v + 25 + 217. Factor -164*b + v*b - 15 - 12*b**2 + 3.
-4*(b + 3)*(3*b + 1)
Let b(c) be the second derivative of 0*c**3 - 3/40*c**5 + 0 + 0*c**2 + 9*c - 1/4*c**4. Factor b(m).
-3*m**2*(m + 2)/2
Let j = 1662 + -1660. Let b(g) be the second derivative of -8*g + 0 - 2/3*g**3 + 1/5*g**5 + 2/3*g**4 - 4*g**j. Let b(o) = 0. What is o?
-2, -1, 1
Let s(a) = 2*a**2 - a. Let f(v) = v**4 + 2*v**3 - 5*v**2. Let l(n) = -f(n) - 2*s(n). Factor l(z).
-z*(z - 1)*(z + 1)*(z + 2)
Factor 4*h**3 - 4*h**2 - 10*h**3 + 25*h**2 - 4503*h + 4515*h.
-3*h*(h - 4)*(2*h + 1)
Let p(a) be the first derivative of a**7/140 + a**6/40 - 41*a**2/2 - 20. Let d(s) be the second derivative of p(s). Factor d(z).
3*z**3*(z + 2)/2
Let m(u) be the first derivative of 2*u**3/27 - 310*u**2/9 + 48050*u/9 - 409. Find g such that m(g) = 0.
155
Let p(j) be the first derivative of j**8/112 - j**7/84 - 7*j**6/72 - j**5/12 - 2*j**3 + 10. Let l(z) be the third derivative of p(z). Factor l(c).
5*c*(c - 2)*(c + 1)*(3*c + 1)
Suppose 3 + 3 = -3*o, 12 = f + 2*o. Let a = f + -14. Determine k, given that k**2 - 3*k**2 - k**a + 0*k**2 + 9*k = 0.
0, 3
Let m(g) be the third derivative of 0 - 1/336*g**8 - 10*g**2 - 1/120*g**6 + 0*g**4 + 0*g**5 + 1/105*g**7 + 0*g + 0*g**3. Factor m(q).
-q**3*(q - 1)**2
Let s(d) be the second derivative of -1/26*d**4 - 1/130*d**5 - 1/13*d**3 + 10*d + 0 - 1/13*d**2. Factor s(j).
-2*(j + 1)**3/13
Let g(p) be the second derivative of -19*p - 2/15*p**5 + 0*p**3 + 0*p**2 + 0 - 1/45*p**6 - 2/9*p**4. Let g(y) = 0. Calculate y.
-2, 0
Let f(z) be the first derivative of z**6/6 + 3*z**5/5 - 3*z**4/4 - 7*z**3/3 + 3*z**2 + 34. Factor f(x).
x*(x - 1)**2*(x + 2)*(x + 3)
Let i(r) be the first derivative of r**6/72 + r**5/8 + 5*r**4/12 + 4*r**3 - 4. Let z(d) be the third derivative of i(d). Let z(g) = 0. What is g?
-2, -1
Find s such that 16/5*s**4 + 4/5*s**5 + 0*s + 0 - 4/5*s**3 - 16/5*s**2 = 0.
-4, -1, 0, 1
Let m(i) be the second derivative of i**7/480 + i**6/288 - i**5/240 - 8*i**3/3 + 32*i. Let x(b) be the second derivative of m(b). Suppose x(v) = 0. Calculate v.
-1, 0, 2/7
Let k = -10 - -15. Let g = -6 - -8. Factor -4*o**5 - 2*o**3 + 3*o**k - 3*o**3 + 0*o**4 - g*o**2 - 4*o**4.
-o**2*(o + 1)**2*(o + 2)
Let c(o) be the first derivative of -5/6*o**4 + 16/9*o**3 - 4/3*o**2 + 0*o + 2/15*o**5 + 20. Factor c(t).
2*t*(t - 2)**2*(t - 1)/3
Let s be (5 + -5)/(-2 + 3). Let f(o) be the first derivative of 1/11*o**2 + s*o - 6 + 2/33*o**3. Determine l, given that f(l) = 0.
-1, 0
Suppose 5*p = 9*p - 40. Factor 50*b**2 - 129*b**4 + 143*b**4 + 2*b**5 + 38*b**3 + 32*b - 2 + p.
2*(b + 1)**3*(b + 2)**2
Let c(u) be the first derivative of u**3/15 + 11*u**2/10 + 28*u/5 + 266. Factor c(m).
(m + 4)*(m + 7)/5
Let m(b) be the second derivative of b**8/84 - 2*b**7/35 - 3*b**6/10 - b**5/3 + 39*b**2/2 - 39*b. Let l(a) be the first derivative of m(a). Solve l(r) = 0.
-1, 0, 5
Let c(n) = 6 - 9*n + 0 + 2*n. Let g be c(-4). Let -9*k**4 + g*k**4 + 40*k - 20*k**3 - 5*k**5 - 15*k**3 - 20 - 5*k**2 = 0. What is k?
-1, 1, 2
Factor -8/3 - 8/3*p - 2/3*p**2.
-2*(p + 2)**2/3
Factor 2/5*g**2 + 0 + 18/5*g.
2*g*(g + 9)/5
Let d(w) be the second derivative of 0*w**2 + 5*w - 1/100*w**5 - 1/40*w**4 + 0 - 1/600*w**6 - 5/6*w**3. Let o(g) be the second derivative of d(g). Factor o(s).
-3*(s + 1)**2/5
Let v be 30/9*((-39)/(-52) + 57/(-220)). Factor 12/11*h**4 + 0*h + 8/11*h**2 + 0 + v*h**3 + 2/11*h**5.
2*h**2*(h + 1)**2*(h + 4)/11
Let k(r) be the first derivative of 5*r**6/6 + 8*r**5 + 65*r**4/4 + 10*r**3 - 65. Factor k(x).
5*x**2*(x + 1)**2*(x + 6)
Factor -6/11 - 4/11*o + 2/11*o**2.
2*(o - 3)*(o + 1)/11
Let x = -22 - -22. Let s(m) be the first derivative of 1/12*m**4 - 1/5*m**5 - 