tor h(w).
-(w - 1)**3*(w + 1)
Let n = -717/848 + 15/53. Let v = -5/16 - n. Suppose -1/2*k - 1/4*k**2 - v = 0. Calculate k.
-1
Suppose -3*x + 12 + 0 = 0, 3*x = -4*c + 24. Suppose c*s = 62 - 56. Factor 1/5*d**4 + 0 + 0*d**3 + 0*d + 0*d**s.
d**4/5
Let w = 17 - 15. Let d(n) = 3*n - 1. Let m be d(w). Factor 3*h**3 - 2*h - 4*h**2 - m*h**3 - h**2.
-h*(h + 2)*(2*h + 1)
Let l(a) be the third derivative of 0*a**3 + 0*a**4 + 0 + 1/180*a**5 - 1/630*a**7 + 0*a**6 + 0*a + 23*a**2. Let l(j) = 0. Calculate j.
-1, 0, 1
Let k(p) = -9*p**2 + 246*p + 663. Let x(v) = -4*v**2 + 98*v + 265. Let f(n) = 5*k(n) - 12*x(n). What is t in f(t) = 0?
-15, -3
Suppose -4*k + 3*f - 607 = 0, 317 = 2*k - 4*k - 3*f. Let g be 4/k*-7 + (-2)/(-110). Factor 0*m - 1/5*m**2 + g.
-(m - 1)*(m + 1)/5
Let m(q) be the second derivative of 0 + 4/5*q**5 + 35/12*q**4 - 125/2*q**2 + 1/84*q**7 + 3*q - 75/4*q**3 - 1/5*q**6. Factor m(t).
(t - 5)**3*(t + 1)*(t + 2)/2
Let i(s) be the first derivative of 1/6*s**3 - 2*s + 3/4*s**2 + 27. Solve i(o) = 0.
-4, 1
Suppose 3*d + 0*m - 4 = -2*m, 0 = -4*d - 4*m + 4. Factor 13*w**d - 9*w**2 - w - 2*w**2.
w*(2*w - 1)
Suppose 116*o + 311 = 77*o + 1715. Factor -o*x**3 + 30*x**2 + 9*x**4 + 1 - 28/3*x.
(x - 3)*(3*x - 1)**3/3
Let p(o) be the first derivative of -20 + 10*o + 5/3*o**3 - 15/2*o**2. Factor p(v).
5*(v - 2)*(v - 1)
Let z(k) be the first derivative of 1/11*k**2 + 1/11*k**3 + 15 + 1/44*k**4 + 0*k. Factor z(q).
q*(q + 1)*(q + 2)/11
Let t(c) be the second derivative of 2*c - 1/36*c**4 + 0*c**2 - 1/9*c**3 + 0. Solve t(j) = 0 for j.
-2, 0
Let a be (-2)/(-16) - 120/(-64). Let b(s) be the first derivative of 0*s**3 + 3 + 0*s**4 + 1/25*s**5 + 0*s + 0*s**a - 1/30*s**6. Find f such that b(f) = 0.
0, 1
Let y(p) be the first derivative of p**6/2160 - p**5/120 + p**4/16 - 2*p**3 + 34. Let v(t) be the third derivative of y(t). Factor v(n).
(n - 3)**2/6
Let z be 270/33 - (-2)/(-11). Suppose z = 4*s - 2*s. Factor t**2 + 4*t**s - 4*t**4 + t**2 - 2*t**4.
-2*t**2*(t - 1)*(t + 1)
Let i(m) = m**2 + 37*m - 519. Let p be i(11). Let f(g) be the first derivative of -p - 2*g**4 + 5*g**2 + 8/5*g**5 - 1/3*g**6 - 4/3*g**3 - 4*g. Solve f(s) = 0.
-1, 1, 2
Factor -10/17 + 12/17*v - 2/17*v**2.
-2*(v - 5)*(v - 1)/17
Let j = -761 + 767. Let i(p) be the second derivative of 6/25*p**5 + 6/5*p**4 + 16/5*p**3 + 0 - p + 24/5*p**2 + 1/50*p**j. Factor i(u).
3*(u + 2)**4/5
Let r be (-4)/30*30/((-90)/9). Find m such that 1/10*m**4 - r - 2/5*m + 3/10*m**2 + 2/5*m**3 = 0.
-2, -1, 1
Determine f, given that -7*f**3 + 36*f - 2*f**3 + 88 + 3*f**4 - 24*f**2 - 40 = 0.
-2, -1, 2, 4
Suppose 24 = 10*w + 2*w. Factor 4*i - 2*i**w + 5*i**2 - 22*i.
3*i*(i - 6)
Suppose -60*s + 43 = 36 - 113. Factor -4/3 + 5/3*i**s - 8/3*i.
(i - 2)*(5*i + 2)/3
Let l(r) be the third derivative of -5*r**5/27 - 10*r**4/27 - 8*r**3/27 + 34*r**2 + 3. Factor l(y).
-4*(5*y + 2)**2/9
Suppose 15 = -5*k, 0 = 2*t - k + 3 - 12. Solve 2*x + 15*x**t + 37*x - 135 - 10*x**3 + 96*x - 45*x**2 = 0 for x.
3
Let v = -23 - -71/3. Let b = -45/28 + 415/84. Suppose 3/2*j**2 + b*j + v = 0. What is j?
-2, -2/9
Let j(h) be the second derivative of -3*h**5/100 + 2*h**4/5 + 9*h**3/10 - 10*h - 7. Determine n so that j(n) = 0.
-1, 0, 9
Let a = 1/45 - -29/45. Let w(u) be the first derivative of -2*u - a*u**3 + 2*u**2 + 1. Factor w(m).
-2*(m - 1)**2
Factor -11*n - 5*n**2 - 4 + 6*n**3 - 1 - 5 + 36*n - 16*n**3.
-5*(n - 1)*(n + 2)*(2*n - 1)
Suppose -15 = 11*n - 16*n. Suppose 5*g**2 + 3*g**n - 2*g**3 - 7*g**2 + g = 0. What is g?
0, 1
Let p be (10/(-6))/((-10)/7). Suppose f + 0 + p*f**3 + 23/6*f**2 = 0. Calculate f.
-3, -2/7, 0
Let m be 50 + 45716/(-836) - (-1)/(1/5). Determine q so that -m*q - 2/19*q**2 + 0 = 0.
-3, 0
Let z = 887 - 887. Let k(b) be the third derivative of -1/180*b**5 - 1/2*b**3 + 0 + z*b + 4*b**2 - 1/12*b**4. Factor k(y).
-(y + 3)**2/3
Find o, given that -297754/7 - 2/7*o**3 - 16854/7*o - 318/7*o**2 = 0.
-53
Let c(l) be the third derivative of -l**6/600 + l**5/100 + l**4/30 - 47*l**2 + 2*l. Factor c(x).
-x*(x - 4)*(x + 1)/5
Let j(d) = d**3 + 10*d**2 - 15*d + 5. Let a be j(-11). Factor 6*t**2 - 1 - 41*t + 5 - 2 + a*t.
2*(t + 1)*(3*t + 1)
Let g be (1/(-1))/(1/5). Let m = 29/5 + g. Factor -m*d - 8/5*d**2 + 0*d**3 + 4/5*d**5 + 8/5*d**4 + 0.
4*d*(d - 1)*(d + 1)**3/5
Suppose -97*t + 207 = -28*t. Let v(a) be the third derivative of -1/18*a**t + 1/180*a**5 + 0*a**4 - 2*a**2 + 0 + 0*a. Suppose v(s) = 0. Calculate s.
-1, 1
Suppose -2/19*v**4 - 34*v**2 + 74/19*v**3 + 0 - 38*v = 0. Calculate v.
-1, 0, 19
Factor -396*g**3 + 175*g**3 + 201*g**3 + 16*g**4 - 72*g**2 - 36*g.
4*g*(g - 3)*(g + 1)*(4*g + 3)
Suppose -2*m + 2 = -4. Let z be 11/((-198)/30) + (m - 0). Find v such that z*v**2 + 0 - 1/3*v + 4/3*v**4 - 1/3*v**5 - 2*v**3 = 0.
0, 1
Let g be ((2970/(-44))/(-45))/(3*(3 + -2)). Factor g*v**2 + 2*v + 3/2.
(v + 1)*(v + 3)/2
Let m = -125 - -132. Let p(c) be the third derivative of 0*c - 1/35*c**5 + 1/28*c**4 - 1/140*c**6 + 1/490*c**m + 3/14*c**3 + 0 - 8*c**2. Factor p(s).
3*(s - 3)*(s - 1)*(s + 1)**2/7
Let g = 59055/14 - 29496/7. Factor -g*d**2 + 0 - 1/4*d**3 - 81/4*d.
-d*(d + 9)**2/4
Let o(p) be the first derivative of -3*p**4/8 - 7*p**3/2 - 3*p**2 + 18*p - 616. Factor o(j).
-3*(j - 1)*(j + 2)*(j + 6)/2
Let y(t) = -8*t + 59. Let z be y(7). Let i(r) be the first derivative of r**4 - 6 + 4/3*r**z - 4*r - 2*r**2. Factor i(b).
4*(b - 1)*(b + 1)**2
Let z(w) be the first derivative of -1/16*w**4 + 5/4*w + 7/12*w**3 - 11/8*w**2 - 8. Factor z(q).
-(q - 5)*(q - 1)**2/4
Let h(p) be the first derivative of -1/4*p**4 - 1/5*p**6 + 9 - 3/4*p**5 + p**3 + 0*p**2 + 5*p. Let o(t) be the first derivative of h(t). Factor o(d).
-3*d*(d + 1)*(d + 2)*(2*d - 1)
Let h(n) be the second derivative of -8/3*n**3 + 8*n**2 - 1/3*n**4 + 0 - 19*n + 1/5*n**5. Factor h(q).
4*(q - 2)*(q - 1)*(q + 2)
Factor 21/2*k - 3/2*k**2 - 9.
-3*(k - 6)*(k - 1)/2
Let c(l) = l**2 - l - 1. Let v(m) = -12*m**2 + 26*m - 4. Let k(x) = 10*c(x) + v(x). Solve k(q) = 0 for q.
1, 7
Let u(q) be the second derivative of -q**4/78 + 4*q**3 + 43*q + 1. Find g such that u(g) = 0.
0, 156
Factor -100*k - 142 + 116*k**2 + 16*k**3 + 52 + 58.
4*(k - 1)*(k + 8)*(4*k + 1)
Suppose 0 = -4*k - 3*u + 154, 0 = -k - u - u + 41. Suppose -5*n + 15 = q + 5, -5*q - k = -4*n. Let 3/2*d**4 + 0 - 3/2*d - 9/2*d**n + 9/2*d**2 = 0. What is d?
0, 1
Let a(z) be the third derivative of -z**7/490 - z**6/420 + 19*z**5/420 - z**4/28 - 2*z**2 + 26*z. Factor a(s).
-s*(s - 2)*(s + 3)*(3*s - 1)/7
Let d(a) be the third derivative of -1/15*a**4 - 16/15*a**3 + 0*a + 0 - 1/600*a**5 - 20*a**2. Factor d(o).
-(o + 8)**2/10
Let u(b) = b**2 + b - 2. Let d(l) = 10*l**2 + 100*l - 992. Let g(q) = d(q) - 12*u(q). Let g(m) = 0. What is m?
22
Suppose 2*b + 2 = 8. Factor -b*w + 2*w**2 - 12*w + w**2.
3*w*(w - 5)
Let p = 457 - 322. Factor p*x + 1884 + 15*x**3 + 97*x**2 - 1834 + 3*x**2.
5*(x + 1)*(x + 5)*(3*x + 2)
Let o(u) be the first derivative of u**6/360 - u**5/60 + u**4/24 + 6*u**3 + 17. Let h(q) be the third derivative of o(q). Factor h(v).
(v - 1)**2
Let b be ((-225)/315)/((-1)/(4 - 3)). Factor 1/7*n**5 + 0 + 4/7*n**4 + 2/7*n**2 + b*n**3 + 0*n.
n**2*(n + 1)**2*(n + 2)/7
Let s be (-22 - -11) + (17 - 2). What is v in 4/15*v**s + 4/3*v**3 + 4/15 - 2/3*v**5 - 2/3*v - 8/15*v**2 = 0?
-1, 2/5, 1
Let i(u) be the first derivative of -6/5*u**6 + 4*u**5 - 3/5*u**4 + 16/5*u + 24/5*u**2 - 116/15*u**3 - 14. Determine b so that i(b) = 0.
-1, -2/9, 1, 2
Let i(g) be the first derivative of -g**4 + 20/3*g**3 + 12 - 36*g - 6*g**2. Factor i(h).
-4*(h - 3)**2*(h + 1)
Suppose 4*b + 6 = -w, 10 = -4*b - b. Suppose 4*y = -5*u + 9 - w, -2*u + 3*y = -12. Factor 6*o + o**4 - 15*o**2 + 12*o**3 + 2*o**4 - u*o**3 - 3*o**5.
-3*o*(o - 1)**3*(o + 2)
Determine q so that -20/3*q**5 + 109/3*q**2 - 97/3*q**4 - 4 - 15*q**3 + 65/3*q = 0.
-4, -1, 3/20, 1
Let u = -23 - -40. Let n = u - 7. Suppose -11*b**5 + 8*b**3 - 8*b + 4*b**2 - b**4 + n*b**5 - 2*b**3 = 0. What is b?
-2, 0, 1, 2
Let j(n) be the third derivative of n**7/840 + 11*n**6/480 + 11*n**5/80 + 37*n**4/96 + 7*n**3/12 - 6*n**2 + 8*n. Suppose j(c) = 0. Calculate c.
-7, -2, -1
Let r = 37/25 + -32/25. What is k in r*k**2 - 1/5 + 0*k = 0?
-1, 1
Solve -1/3*q**4 + 0*q - 10*q**3 - 75*q**2 + 0 = 0.
-15, 0
Let k = -34 - -49. Let i = 18 - k. Factor -4/7*m + 0 - 6/7*m**