4 + 4*t**3 - 2*t**2.
2*t*(t - 1)*(t + 1)*(t + 2)
Let y(r) be the second derivative of -1/45*r**6 + 0*r**3 - 1/30*r**5 + 0*r**4 + 0 + 0*r**2 + 2*r. Factor y(d).
-2*d**3*(d + 1)/3
Let l(g) be the first derivative of g**4/8 + g**3/2 - 2*g + 10. Find j, given that l(j) = 0.
-2, 1
Let m(o) be the second derivative of -o**9/10080 - o**8/2688 - o**7/2520 - o**4/12 + o. Let n(z) be the third derivative of m(z). Factor n(y).
-y**2*(y + 1)*(3*y + 2)/2
Solve 0 + 2/5*q**2 - q**3 + 0*q + 6/5*q**5 - 1/5*q**4 = 0.
-1, 0, 1/2, 2/3
Find v, given that -2835*v**3 - 500*v + 8 + 2478*v**2 + 32 - 408*v**2 = 0.
2/9, 2/7
Factor 2/5*t**3 + 4/5*t**2 + 0*t + 0.
2*t**2*(t + 2)/5
Let y(u) be the third derivative of -u**6/30 - u**5/5 - u**4/3 - 14*u**2. Suppose y(j) = 0. Calculate j.
-2, -1, 0
Let t(q) be the first derivative of -q**5/5 + q**4 - q**3 + 5. Determine f so that t(f) = 0.
0, 1, 3
Let m(x) be the first derivative of -2/3*x**3 - 4 - x**2 + 1/2*x**4 + 2*x. Factor m(v).
2*(v - 1)**2*(v + 1)
Let l be ((-8)/(-12))/((-6)/(-18)). Find m, given that 0 - 4/7*m - 2/7*m**l = 0.
-2, 0
Let m(n) = n + 11. Let h be m(-9). Let i be h/(-4)*4/(-1). Solve 0*p**2 + p**i - 2*p**2 + 2*p = 0 for p.
0, 2
Let o = 82 + -82. Let h(j) be the first derivative of o*j - 3 + 7/6*j**3 - 15/8*j**4 - 1/4*j**2 + 9/10*j**5. Determine k so that h(k) = 0.
0, 1/3, 1
Factor -h**2 + h - 3*h + 0*h.
-h*(h + 2)
Let w(l) be the third derivative of l**8/2016 - 2*l**7/315 + l**6/30 - 4*l**5/45 + l**4/9 - 7*l**2. Let w(v) = 0. Calculate v.
0, 2
Let u(n) = -2*n**2 + 90*n - 88. Let r(p) = -5*p**2 + 180*p - 175. Let q(v) = -3*r(v) + 5*u(v). Factor q(y).
5*(y - 17)*(y - 1)
Let v = 8 + -5. Let t = 2 - -2. Let 16*k**t + v - 14*k**3 - 3 + 4*k**2 - 6*k**5 = 0. Calculate k.
0, 2/3, 1
Let v(p) = 4*p - 1. Let b be v(1). Let s(l) be the second derivative of 0 + 1/18*l**4 - 2/9*l**b + 1/5*l**5 - 1/10*l**6 - 1/6*l**2 + l. Solve s(z) = 0 for z.
-1/3, 1
Let q = -4 + 8. Let p = q + -2. Factor -4*a + 2*a + 1 - p*a**2 + a.
-(a + 1)*(2*a - 1)
Let k = -22 - -23. Let p be 0/(3/(2 + k)). Factor p - 1/2*y**3 + 0*y - y**2.
-y**2*(y + 2)/2
Suppose -4*q + 87 = 5*v, 91 = 5*v + 3*q - q. Find i such that -9*i**4 + v*i**4 - 16*i**2 - 4*i - 5*i**3 + 15*i**4 = 0.
-2/5, 0, 1
Let l be 12/10*(-20)/(-6). Suppose 0 = -l*a + a + 15. Suppose 1/2*i**2 - 3*i**3 + 9/2*i**4 + 0 + 0*i - 2*i**a = 0. Calculate i.
0, 1/4, 1
Let d(f) be the first derivative of 2*f**3/51 + 4*f**2/17 - 10*f/17 + 12. Find h, given that d(h) = 0.
-5, 1
Factor 98/5 - 28/5*m + 2/5*m**2.
2*(m - 7)**2/5
Let d be 31/10 + (-4)/40. Let v(f) be the first derivative of -1/8*f**4 - d + 1/12*f**3 - 1/20*f**5 + 0*f + 1/4*f**2. Solve v(s) = 0 for s.
-2, -1, 0, 1
Let c(q) = 12*q**3 + 16*q**2 - 10*q - 14. Let t(u) = u**3 + u**2 - u - 1. Let p(h) = -2*c(h) + 28*t(h). Find b such that p(b) = 0.
-1, 0, 2
Let z(i) = -2*i + 9. Let a be z(3). Factor 0*u - 1/4*u**a + 0 + 1/4*u**2.
-u**2*(u - 1)/4
Let p(q) be the third derivative of -q**5/390 - q**4/78 + 5*q**3/13 + 25*q**2. Factor p(h).
-2*(h - 3)*(h + 5)/13
Let d(z) be the first derivative of 0*z + 0*z**3 - 3/28*z**4 - 3 + 3/14*z**2. Factor d(q).
-3*q*(q - 1)*(q + 1)/7
Let -5/2*h**2 - 490 + 70*h = 0. Calculate h.
14
Let m = 7 + -3. Determine k, given that -k - 2*k - k**3 + 0*k + m*k**3 + 3*k**2 - 3*k**4 = 0.
-1, 0, 1
Let l(g) be the third derivative of g**8/6720 - g**6/240 - g**5/60 + g**4/8 - 2*g**2. Let x(w) be the second derivative of l(w). Solve x(j) = 0.
-1, 2
Factor 64/3 + 4/3*h**2 - 32/3*h.
4*(h - 4)**2/3
Let q(x) be the first derivative of -3*x**5 + 3*x**4/2 - 52. Factor q(u).
-3*u**3*(5*u - 2)
Suppose 3*y = -5*j - 0*j + 45, 2*j - 46 = -4*y. Let p be y/25*(0 - -10). What is t in t**2 - 3*t**3 - 8*t**2 - t**p + 5*t**2 = 0?
-2, -1, 0
Let n(q) be the first derivative of -5*q**3/3 - 40*q**2 - 320*q + 1. Factor n(p).
-5*(p + 8)**2
Find m, given that 2*m**2 + 72 + 24*m + 3*m**2 - 2*m**2 - m**2 = 0.
-6
Let x(l) be the first derivative of -l**6/2 + 18*l**5/5 - 21*l**4/4 - 6*l**3 + 12*l**2 + 8. Let x(v) = 0. What is v?
-1, 0, 1, 2, 4
Suppose 2/3*m**2 + 2/9*m + 0 + 2/9*m**3 - 4/9*m**5 - 2/3*m**4 = 0. What is m?
-1, -1/2, 0, 1
Let r(j) be the first derivative of j**5/100 - j**4/40 + 3*j**2/2 - 3. Let o(f) be the second derivative of r(f). Factor o(b).
3*b*(b - 1)/5
Let o = 73/1164 - -2/97. Let l(u) be the second derivative of -o*u**4 + 1/6*u**3 + 1/2*u**2 + 0 - 1/20*u**5 - u. Factor l(d).
-(d - 1)*(d + 1)**2
Let f(i) be the second derivative of -9*i**5/4 + 145*i**4/12 - 20*i**3 + 10*i**2 - 8*i. Suppose f(m) = 0. Calculate m.
2/9, 1, 2
Let o be -3*(-37)/54 - 2. Let r(q) be the third derivative of -1/9*q**3 - 2*q**2 - 1/90*q**6 + 1/315*q**7 + 0*q + 0*q**5 + 0 + o*q**4. Solve r(c) = 0 for c.
-1, 1
Let a(x) = -x**2 + 14*x - 23. Let h be a(12). Let z(r) be the first derivative of -3/14*r**4 + 4/7*r - 9/7*r**2 - h + 20/21*r**3. Find l, given that z(l) = 0.
1/3, 1, 2
Let t be (-38)/(-247) + (-2)/13. Factor 1/3*n + t - 1/3*n**2.
-n*(n - 1)/3
Let m = -14 + 32. Let b be 12/m + (-8)/30. Solve -b*d - 6/5*d**3 + 2/5*d**4 + 6/5*d**2 + 0 = 0 for d.
0, 1
Let a(z) be the second derivative of z**6/40 - 3*z**4/8 - z**3 - 9*z**2/8 + 8*z. Factor a(s).
3*(s - 3)*(s + 1)**3/4
Factor 3*s**2 + 2*s**2 - 10*s**2 - 15*s + 0*s**2.
-5*s*(s + 3)
Let o = -5 + 5. Let m be (0/(1 - o))/(-2). What is i in -1/3*i**3 + 1/3*i + 0*i**2 + m = 0?
-1, 0, 1
Let v(f) be the third derivative of 0 + 1/15*f**3 + f**2 + 0*f + 1/840*f**8 - 1/75*f**5 + 1/525*f**7 + 1/60*f**4 - 1/150*f**6. Let v(h) = 0. What is h?
-1, 1
Let w = 29 + -25. Suppose -5 - q**2 - q + 1 + w = 0. What is q?
-1, 0
Let w(l) = 12*l**5 - 51*l**4 + 104*l**3 - 91*l**2 + 49*l - 3. Let m(r) = -r**4 - r**2 - r - 1. Let q(d) = 5*m(d) + w(d). Factor q(g).
4*(g - 1)**4*(3*g - 2)
Let j = 20 - 7. Suppose 3*m**4 - j*m**4 + 2*m**3 + 8*m**4 = 0. Calculate m.
0, 1
Let k(m) = -4*m**2 - 16*m - 8. Let a(f) = 4*f**2 + 15*f + 6. Let j(w) = 4*a(w) + 5*k(w). Suppose j(z) = 0. Calculate z.
-4, -1
Suppose 2*k = k + 8. Let t(r) = 3*r**5 + 4*r**3 + 5*r**2 + 3*r + 5. Let b(q) = 5*q**5 + 6*q**3 + 8*q**2 + 5*q + 8. Let v(y) = k*t(y) - 5*b(y). Factor v(f).
-f*(f - 1)**2*(f + 1)**2
Suppose -w + 2*u = -3, -3*w + 3*u = w - 12. Suppose 0*q + w = 2*d + q, -4*q - 14 = -5*d. Solve 2/5*m**d - 2/5*m + 0 = 0 for m.
0, 1
Let v = 79 - 79. Let m(w) be the second derivative of -1/3*w**3 + v - 1/6*w**4 + 0*w**2 + 2*w. Factor m(z).
-2*z*(z + 1)
Solve -77/4*f**2 - 1 - 8*f - 49/4*f**3 = 0.
-1, -2/7
Let a = -1/11 - -25/33. Factor 0 + 2/3*p**2 - a*p.
2*p*(p - 1)/3
What is h in 43 + 45*h**2 + 92 + 119 - 9 + 210*h = 0?
-7/3
Let k be 1/(-3) + 10/25. Let c(r) be the second derivative of 0 + 1/50*r**5 + 0*r**2 + r - k*r**3 + 0*r**4. Find z such that c(z) = 0.
-1, 0, 1
Suppose 0 = -2*j + 8 - 2. Suppose 1/2*r**j + 1/2*r + 0 + r**2 = 0. What is r?
-1, 0
What is y in y + 3/2 - 1/2*y**2 = 0?
-1, 3
Let x(l) = l - 2. Let h be x(4). Suppose 0 = 4*f - s - 9, -11 = h*f - 5*f + 5*s. Let -g**3 + 4/3*g + 0 - 4/3*g**f = 0. Calculate g.
-2, 0, 2/3
Let y be (-2)/5 + (-6)/10. Let k be ((-14)/35)/(y/5). Solve 0 - 1/3*n + 2/3*n**k - 1/3*n**3 = 0.
0, 1
Factor -2/3*r**2 + 0 + 0*r - 2/3*r**3 + 2/3*r**4 + 2/3*r**5.
2*r**2*(r - 1)*(r + 1)**2/3
Let w(q) be the first derivative of 1/5*q**5 + 2*q**3 - 2*q**2 - q**4 + q - 2. Suppose w(v) = 0. What is v?
1
Let f(p) be the second derivative of -p**8/11200 + p**6/1200 - 5*p**4/12 + 5*p. Let z(l) be the third derivative of f(l). Factor z(y).
-3*y*(y - 1)*(y + 1)/5
Factor 12/5 - 21*b**2 - 24/5*b + 45*b**3.
3*(3*b + 1)*(5*b - 2)**2/5
Let g(v) be the first derivative of -2*v**5/25 + 2*v**4/5 - 16*v**2/5 + 32*v/5 + 7. Factor g(y).
-2*(y - 2)**3*(y + 2)/5
Let s(g) be the third derivative of 0*g**4 + 0*g - g**2 - 1/60*g**5 + 1/6*g**3 + 0. Let s(h) = 0. Calculate h.
-1, 1
Let u(n) = -4*n**2 + 35*n - 100. Let j(c) = -4*c**2 + 34*c - 100. Let l(d) = 5*j(d) - 6*u(d). Solve l(y) = 0 for y.
5
Let m(j) be the first derivative of 1 + 21*j**5 + 66*j**2 - 24*j - 177/4*j**4 - 42*j**3. Determine h so that m(h) = 0.
-1, 2/7, 2/5, 2
Let o(p) be the first derivative of -p**6/18 - 4*p**5/15 - p**4/2 - 4*p**3/9 - p**2/6 - 3. Find n such that o(n) = 0.
-1, 0
Let a be (-7)/(14/(-13)) + -6. Factor -1/4*k**2 - a*k + 0.
-k*(k + 2)/4
Factor -2/5 + 2/15*b**2 - 4/15*b.
2*(b - 3)*(b + 1)/15
