*4 - 10*d**2. Let q(v) = v**5 - v**3 - v**2. Let y(t) = -4*o(t) + 36*q(t). Solve y(m) = 0 for m.
0, 1/3
Let -12/5*w**2 + 136 + 1012/5*w = 0. Calculate w.
-2/3, 85
Let c = -97/8 + 295/24. Let n(s) be the first derivative of 1/2*s**2 - 1 - c*s**3 - 1/8*s**4 + 0*s. Factor n(f).
-f*(f - 1)*(f + 2)/2
Let t(q) be the first derivative of -q**3/3 - 46*q**2 + 93*q + 502. What is h in t(h) = 0?
-93, 1
Let f(c) = 4*c**2 + c - 2. Let n be f(-2). Suppose -4*o + n = -0*o. Factor 2/9*u**2 - 1/3*u**4 + 1/9 + 1/3*u - 1/9*u**5 - 2/9*u**o.
-(u - 1)*(u + 1)**4/9
Let f = 2/219519 + 241195/536602. Let l = -5/22 + f. Factor l*p - 4/9 + 2/9*p**2.
2*(p - 1)*(p + 2)/9
Let a = 192 + -383/2. Factor 2*o**2 + 2*o + 0 + a*o**3.
o*(o + 2)**2/2
Let d(m) be the first derivative of m**5/45 + m**4/9 + 2*m**3/9 + 2*m**2/9 + m/9 + 13. Factor d(b).
(b + 1)**4/9
Let f(o) be the second derivative of -o**4/3 + 88*o**3/3 - 65*o. Solve f(g) = 0 for g.
0, 44
Let r(z) be the first derivative of -3*z**4/16 + 5*z**3/8 + 69*z**2/16 + 15*z/4 - 51. Factor r(u).
-3*(u - 5)*(u + 2)*(2*u + 1)/8
Let b(d) be the second derivative of -d**5 + 185*d**4/12 - 15*d**3/2 + 495*d. Factor b(o).
-5*o*(o - 9)*(4*o - 1)
Let p be -22*(-114)/10800 + (-8)/36. Let g(t) be the second derivative of 1/150*t**6 + 0 - p*t**5 - 1/60*t**4 + 8*t + 0*t**2 + 1/30*t**3. Factor g(z).
z*(z - 1)**2*(z + 1)/5
Factor 3/2 - 13/8*d + 1/8*d**2.
(d - 12)*(d - 1)/8
Let z(c) = -c**3 - 4*c**2 + 5*c. Let d = -19 + 5. Let k = 22 + d. Let o(a) = 3*a**3 + 11*a**2 - 15*a + 1. Let h(y) = k*z(y) + 3*o(y). Solve h(g) = 0 for g.
-3, 1
Let t = 31 + -25. Solve -v**2 - t - 8*v + 0*v - 4 - 6 = 0 for v.
-4
Let x = -193/7 + 28. Let r be 9/(-84)*(0 - 12). Factor 9/7*i**2 + r*i + 3/7*i**3 + x.
3*(i + 1)**3/7
Let s(h) = h - 10. Let k(p) = p**3 - 4*p**2 + 4*p - 3. Let n be k(4). Let x be s(n). Let -x*g**3 + 6*g + 0*g**4 - 3*g**3 - 3 + 3*g**4 = 0. What is g?
-1, 1
Let g = -544/21 + 572/21. Factor g*y + 2/9*y**2 + 2.
2*(y + 3)**2/9
Let x(r) be the second derivative of r**5/14 + r**4/14 - 4*r**3/7 + 4*r**2/7 - 25*r. Determine f so that x(f) = 0.
-2, 2/5, 1
Let d = -62 - -64. Solve -5*t**3 + t**3 - 12*t - 17*t**d - 4 + 5*t**2 = 0.
-1
Let t = -25 - -28. Let o = 14 + -8. Factor -39*p**2 + 33*p + p**3 + 8*p**3 - o + t*p**3.
3*(p - 2)*(p - 1)*(4*p - 1)
Let s be (-25)/6 - (-6)/36. Let m be (-582)/s*2 + -4. Find l such that m - 20*l**4 - 28*l**5 - 287 + 8*l**3 = 0.
-1, 0, 2/7
Let v(c) be the third derivative of -c**6/80 + 4*c**5/5 - 285*c**4/16 + 225*c**3/2 - 34*c**2 + 4. Find k such that v(k) = 0.
2, 15
Let a(w) be the second derivative of 5/2*w**4 + 0 + 32*w + 10*w**3 + 20*w**2 + 1/4*w**5. Solve a(m) = 0.
-2
Let z(g) be the first derivative of 1/5*g**2 - 3 + 2/15*g**3 + 1/30*g**4 + 3*g. Let y(k) be the first derivative of z(k). Factor y(j).
2*(j + 1)**2/5
Let v be (-2)/(-1) + (-20)/10. Let n = -28 + 31. Solve v*f + 4/5*f**2 - 2/5*f**n + 0 = 0.
0, 2
Let i = -576/29 - -4554/203. What is f in -3/7*f**3 - 18/7 - i*f**2 - 33/7*f = 0?
-3, -2, -1
Let y(u) be the first derivative of 2*u**5/9 - u**4/3 - 8*u**3/27 + 2*u**2/3 - 2*u/9 + 136. Solve y(r) = 0.
-1, 1/5, 1
Let b be ((-210)/(-16))/(4/((-32)/(-6))). Suppose 15/2*k**2 - 35/2*k - 25/2*k**4 + 5 + b*k**3 = 0. What is k?
-1, 2/5, 1
Let r be ((-2)/(-4)*4)/(-25 + 26). Let p(d) be the first derivative of -1/9*d**6 + 4/9*d**3 + 0*d + 0*d**r + 8 + 8/15*d**5 - 5/6*d**4. Factor p(g).
-2*g**2*(g - 2)*(g - 1)**2/3
Let w(c) be the first derivative of 12*c**5/5 - 8*c**4 + 4*c**3 + 4*c**2 - 731. Solve w(y) = 0 for y.
-1/3, 0, 1, 2
Let h(x) be the first derivative of 3*x**5/25 + 9*x**4/20 - 3*x**3 + 51*x**2/10 - 18*x/5 - 17. What is l in h(l) = 0?
-6, 1
Find p such that -266/11*p - 94/11*p**3 - 8 - 270/11*p**2 - 2/11*p**4 = 0.
-44, -1
Let d(l) be the first derivative of 40*l**4 + 280/3*l**3 + 9*l**5 + 120*l**2 + 80*l + 9 + 5/6*l**6. Factor d(r).
5*(r + 1)*(r + 2)**4
Let x(r) = r**2 + r + 1. Let k(g) = -7*g**2 + 1 + 7*g - 3*g - 11*g + g**2. Let y(q) = k(q) + 3*x(q). Find c, given that y(c) = 0.
-2, 2/3
Let 2*r**4 + 4*r**2 - 4*r**4 - 14*r**3 - 27 + 4*r**5 + 5*r + 3*r**5 + 25 + 2*r = 0. What is r?
-1, 2/7, 1
Let x(m) = -m**2 - m + 1. Let a(u) = -2*u**2 + 12*u + 3. Let w(q) = 2*a(q) - 6*x(q). Factor w(d).
2*d*(d + 15)
Let v(l) be the third derivative of -l**6/30 - 2*l**5/15 + 43*l**2 - 2*l. Factor v(j).
-4*j**2*(j + 2)
Let -12*s**4 - 629 - 903181*s**3 - 1192*s**2 + 2165 + 903401*s**3 + 1408*s = 0. What is s?
-2/3, 3, 8
Let x(c) be the second derivative of 5*c**7/6 + 5*c**6/3 - 29*c**5/4 - 20*c**4/3 + 110*c**3/3 - 40*c**2 - 109*c. Determine g so that x(g) = 0.
-2, 4/7, 1
Let v(o) be the first derivative of 12/35*o**5 - 19 - 9/14*o**4 - 1/14*o**6 + 0*o - 3/14*o**2 + 4/7*o**3. Suppose v(p) = 0. Calculate p.
0, 1
Let b(a) be the third derivative of -2*a**2 + 7/40*a**6 + 1/4*a**4 + 1/35*a**7 + 9 + 0*a + 0*a**3 + 7/20*a**5. Suppose b(l) = 0. What is l?
-2, -1, -1/2, 0
Solve 4*t**4 - 5*t**3 + 100 - 105*t**2 + 105*t - 100*t + t**4 + 0*t**3 = 0.
-4, -1, 1, 5
Let j(a) be the first derivative of -3*a**3/8 + 15*a**2 + 81*a/8 + 463. Factor j(z).
-3*(z - 27)*(3*z + 1)/8
Let p(i) be the second derivative of i**4/36 + i**3/6 - 3*i**2 - 933*i. Solve p(g) = 0.
-6, 3
Let g(a) = 8*a**2 + 58*a + 120. Let k(n) = -6*n**2 - 57*n - 120. Let y(s) = -5*g(s) - 6*k(s). Solve y(b) = 0 for b.
-2, 15
Let v(a) be the third derivative of a**2 - 1/120*a**6 + 0 + 0*a**4 - 2/3*a**3 - 1/20*a**5 + 0*a. Let b(r) be the first derivative of v(r). Factor b(u).
-3*u*(u + 2)
Let k(t) be the second derivative of t**8/6384 + t**7/2660 + t**6/3420 + 11*t**4/6 - 15*t. Let n(s) be the third derivative of k(s). Factor n(i).
2*i*(2*i + 1)*(5*i + 2)/19
Let o(x) be the third derivative of 0*x + 1/180*x**5 + 0 - 14*x**2 - 2/9*x**3 + 0*x**4. Factor o(v).
(v - 2)*(v + 2)/3
Factor 0 - 1/4*v**4 - 3/4*v**3 + 0*v - 1/2*v**2.
-v**2*(v + 1)*(v + 2)/4
Determine z so that -15/8*z**3 - 6*z**2 + 0 - 3/2*z + 75/8*z**4 = 0.
-2/5, 0, 1
Let h(n) be the second derivative of 2/63*n**7 + 6*n + 0*n**4 + 0 - 1/5*n**5 + 0*n**3 - 4/45*n**6 + 0*n**2. Factor h(b).
4*b**3*(b - 3)*(b + 1)/3
Let i(w) be the first derivative of 0*w**3 + 0*w + 5/4*w**4 + 0*w**2 - w**5 + 6. Factor i(j).
-5*j**3*(j - 1)
Let j(p) = -5*p**5 - 10*p**4 + 8*p**3 - 8*p**2 - 3*p - 3. Let n(v) = -2*v**5 - v**4 - v**3 - v**2 - v - 1. Let m(d) = -j(d) + 3*n(d). Factor m(w).
-w**2*(w - 5)*(w - 1)**2
Let g(l) be the first derivative of l**6/21 - 4*l**5/7 + 11*l**4/7 - 8*l**3/21 - 23*l**2/7 + 4*l - 100. Find y such that g(y) = 0.
-1, 1, 2, 7
Suppose 4*x - 6 - 10 = 0, 53 = 3*p + 2*x. Let j = -11 + p. Factor -2*l**5 + 2*l**j - l**4 + l**4 + 2*l**4.
-2*l**4*(l - 2)
Let w = 69 - 67. Solve -10*j + 39*j**w + 24 - 44*j**2 - 9 = 0 for j.
-3, 1
Suppose -5*l + 10 = -0*l. Let d be l/((-3)/(-18)*2). Factor -27*a - a**3 + 9*a**2 - 41*a**3 + d + 18*a**4 - 2*a**5 + 39*a**2 - a**5.
-3*(a - 2)*(a - 1)**4
Let a be (256/168)/(-8)*392/(-21). Let c(i) be the first derivative of a*i**3 - 4/3*i**2 + 0*i - 1 - 7/6*i**4. Factor c(h).
-2*h*(h - 2)*(7*h - 2)/3
Let t = 2/1289 - -1259/19335. Let k(u) be the first derivative of -8/25*u**5 + 1/5*u**2 + 0*u + 3/5*u**4 - 4 - 8/15*u**3 + t*u**6. Factor k(y).
2*y*(y - 1)**4/5
Suppose -38 + 21 + 5*r**2 + 560*r + 214 + 77 + 281 = 0. What is r?
-111, -1
Let 24/5 - 4/5*d**2 + 22/5*d - 2/5*d**3 = 0. What is d?
-4, -1, 3
Determine r, given that 27/2 + 11/2*r**4 - 1/2*r**5 - 81/2*r - 23*r**3 + 45*r**2 = 0.
1, 3
Let c = 58 - 56. Factor -n**4 - 11*n + 0*n**2 + 0*n**c + 9 + 6*n**3 - 8*n**2 + 5*n.
-(n - 3)**2*(n - 1)*(n + 1)
Let o(w) be the second derivative of -1/60*w**6 - 7*w + 1/20*w**5 - 1/84*w**7 + 0 + 1/12*w**4 - 1/12*w**3 - 1/4*w**2. Suppose o(i) = 0. Calculate i.
-1, 1
Suppose -4 = -5*n - 0*h - 3*h, n - 4*h - 10 = 0. Find p such that 216*p**3 + 290*p**2 + 343 + 501*p**2 + 882*p - 204*p**2 + 169*p**n = 0.
-7/6
Suppose -2*z = 12*z - 28. Let a be 3/(0 + 9/15). Factor -12*n + 12*n**4 + 5*n**a + 24 - 28*n**2 - z*n**2 + 3*n**3 - 2*n**5.
3*(n - 1)**2*(n + 2)**3
Let d = 877 - 875. Factor 2/5*n**d + 0 + 0*n.
2*n**2/5
Let b(v) = 8*v**2 + 44*v - 242. Let p(c) = -c**2 - c. Let m(x) = -2*x**2 - 3*x. Let t(o) = m(o) - 3*p(o). Let k(l) = b(l) - 10*t(l). Factor k(f).
-2*(f - 11)**2
Let r(x) = 10*x**3 + 65*x**2 + 50*x. Let d(z) = -5*z**3 - 33*z**2 - 