*(v - 3)*(v + 2)/3
Let p(j) = 32*j**4 + 70*j**3 - 56*j**2 - 170*j + 108. Let n(w) = -11*w**4 - 23*w**3 + 19*w**2 + 57*w - 36. Let a(y) = 8*n(y) + 3*p(y). What is k in a(k) = 0?
-3, -2, 3/4, 1
Let k = -13 - -16. Suppose 6*q = k*q + 12. Factor 4*g**3 + g**q + g**5 - 2*g**5 - 4*g**3.
-g**4*(g - 1)
Factor 7*n**3 + 216*n**2 + 5000 + 1169*n + 331*n - 66*n**2 - 2*n**3.
5*(n + 10)**3
Let j = 10824 + -10823. Solve 1/4*c**4 - c + j + 1/2*c**3 - 3/4*c**2 = 0 for c.
-2, 1
Factor 160178/9 - 1132/9*l + 2/9*l**2.
2*(l - 283)**2/9
Let c(h) be the first derivative of 31 - 20/3*h**3 - 5/4*h**4 + 0*h + 25/2*h**2. Factor c(a).
-5*a*(a - 1)*(a + 5)
Let c(m) be the first derivative of -4/9*m**3 + 1/3*m**2 + 0*m**4 + 4/15*m**5 + 37 + 0*m - 1/9*m**6. Factor c(z).
-2*z*(z - 1)**3*(z + 1)/3
Let -86*p**2 + 45*p**3 - 83*p + 326*p + 39*p + 72 - 223*p**2 + 216*p = 0. What is p?
-2/15, 3, 4
Let d(m) be the first derivative of 35 - 16*m**3 - 4*m**4 - 32*m - 32*m**2 - 2/5*m**5. Factor d(t).
-2*(t + 2)**4
Let g(a) be the third derivative of a**7/70 + 3*a**6/5 - 51*a**5/20 + 13*a**4/4 + 8*a**2 - 8*a. Factor g(f).
3*f*(f - 1)**2*(f + 26)
Let g(j) = 15*j**5 - 7*j**4 - 6*j**3 - 2*j + 2. Let m(o) = -195*o**5 + 90*o**4 + 78*o**3 + 27*o - 27. Let b(i) = -27*g(i) - 2*m(i). Solve b(l) = 0.
-2/5, 0, 1
Let d(s) = -4*s + 29. Let b be d(14). Let k = 30 + b. Factor 3/2*g**3 + k*g**2 - 3 - 3/2*g.
3*(g - 1)*(g + 1)*(g + 2)/2
Let o(s) = -7*s**2 + 40*s - 12. Let w(q) = -6*q**2 + 42*q - 12. Let n(v) = -4*o(v) + 3*w(v). Solve n(g) = 0.
2/5, 3
Let t(k) be the third derivative of -k**5/60 - 11*k**4/12 - 7*k**3/2 + k**2 + 22. Let t(g) = 0. Calculate g.
-21, -1
Let s be (504/6615)/(22/77). What is z in 2/15*z**2 + 2/15*z - s = 0?
-2, 1
Let h(j) = -j**3 + 2*j**2 + 4*j - 3. Let o be h(3). Let p(a) = a**3 + 6*a**2 + 10*a + 29. Let s be p(-5). Factor 6/5*q**3 + o - 6/5*q**2 - 2/5*q**s + 2/5*q.
-2*q*(q - 1)**3/5
Let o = 6 - 4. Suppose 2*i = 7*i - 10. Factor -o*l**i - 5*l**2 + 9*l**2 - 2.
2*(l - 1)*(l + 1)
Let z = -125 - -93. Let t(i) = -3*i**2 + 27. Let j(h) = 20*h**2 - 176. Let n(q) = z*t(q) - 5*j(q). Factor n(w).
-4*(w - 2)*(w + 2)
Let o be ((-5)/5)/(-6 - -1). Factor 1/5*v + 0 - o*v**2.
-v*(v - 1)/5
Suppose -263*i - 637*i - 3*i**3 - 12799 + 9799 - 90*i**2 = 0. What is i?
-10
Factor -2/7*g**2 - 18/7*g - 16/7.
-2*(g + 1)*(g + 8)/7
Let j(p) = -p**2 + p + 1. Let n(o) be the third derivative of o**6/24 - o**5/60 - 17*o**4/12 - 2*o**3/3 + 20*o**2. Let g(y) = -4*j(y) - n(y). Factor g(w).
-5*w*(w - 3)*(w + 2)
Let a(d) be the second derivative of 27*d**7/14 + 2943*d**6/10 + 244971*d**5/20 + 79705*d**4/4 + 13176*d**3 + 4374*d**2 + 307*d. Factor a(k).
3*(k + 54)**2*(3*k + 1)**3
Let r = 499 + -225. Factor -r + n**2 + n + 274.
n*(n + 1)
Let r(f) be the first derivative of f**4/6 + 10*f**3/3 + 25*f**2 + f - 11. Let g(w) be the first derivative of r(w). Factor g(x).
2*(x + 5)**2
Let z be (14/(-7) - -2)/(-2 - 1). Suppose 7*y + 6*y = z. Suppose 0*t**2 + y + 2/5*t**4 + 6/5*t**5 + 0*t - 4/5*t**3 = 0. Calculate t.
-1, 0, 2/3
Factor -2/7*q**3 - 4/7*q + 0 + 6/7*q**2.
-2*q*(q - 2)*(q - 1)/7
Let q(h) be the first derivative of -h**4/32 - h**3/3 + 19*h**2/16 - 5*h/4 - 53. Factor q(c).
-(c - 1)**2*(c + 10)/8
Let n(k) = 6. Let f(s) = -1. Let p(c) = -5*f(c) - n(c). Let g = -168 - -174. Let z(v) = -v**2 + 2*v - 3. Let q(r) = g*p(r) - 3*z(r). Factor q(x).
3*(x - 1)**2
Let g(p) be the first derivative of -2*p**3/51 - 174*p**2/17 - 15138*p/17 + 73. Factor g(u).
-2*(u + 87)**2/17
Let l = -25 - -19. Let p be ((-6)/(-15) - 1)/(l/15). Factor 9/2 - p*i**2 + 3*i.
-3*(i - 3)*(i + 1)/2
Let o(v) be the first derivative of -7*v**4/4 - 8*v**3/3 - 7*v**2/2 - 3*v + 33. Let t(b) = -8*b**3 - 8*b**2 - 8*b - 4. Let a(y) = -4*o(y) + 3*t(y). Factor a(u).
4*u*(u + 1)**2
Let g(x) be the first derivative of -3*x**4/16 - 3*x**3/2 - 27*x**2/8 - 96. What is s in g(s) = 0?
-3, 0
Let p(u) be the third derivative of u**6/40 - 33*u**5/5 + 726*u**4 - 42592*u**3 + 96*u**2. What is a in p(a) = 0?
44
Let o be 62/279 - (47/9)/1. Let j be 10/24*-4*1/o. Solve 0 - 2/3*v + j*v**2 = 0.
0, 2
Let l be 3/(((-168)/(-2))/7). Let g(w) be the second derivative of 0 + 1/24*w**4 + 11*w - 1/6*w**3 + l*w**2. Factor g(u).
(u - 1)**2/2
Let j(h) be the third derivative of -7*h**8/72 - 2*h**7/5 - 11*h**6/180 + 59*h**5/45 + 5*h**4/3 + 8*h**3/9 + 12*h**2 - 3*h. Determine c, given that j(c) = 0.
-2, -1, -2/7, 1
Let z = 3 + -1. Factor 3 - 2 + 6*y**z - 7*y**2.
-(y - 1)*(y + 1)
Suppose 2*h = 3*r, -3*r + 1 = -h - 2. Let i = r + 4. Let l**2 - 3*l + 2*l**3 - i + 8*l**2 - 3*l**4 + l**3 = 0. Calculate l.
-1, 1, 2
Let h be 7/(-189)*-9*(-14 + -1). Let g(d) = -10*d - 46. Let a be g(h). Determine o, given that -3/5*o**a - 3*o**2 + 6/5*o + 0 + 12/5*o**3 = 0.
0, 1, 2
Let u(x) = -15*x**2 - 7*x - 5. Let k(r) = -14*r**2 - 8*r - 4. Suppose 2*g = -5*g - 42. Let p(y) = g*k(y) + 4*u(y). Factor p(a).
4*(2*a + 1)*(3*a + 1)
Let n be 4 - ((-1728)/60)/(-8). Factor 12/5 - n*x**2 + 2/5*x.
-2*(x - 3)*(x + 2)/5
Let h(a) be the first derivative of -3/2*a**2 + 5/2*a + 1/6*a**3 + 3. Let h(z) = 0. Calculate z.
1, 5
Factor 4 + 3*u**2 - 8 - 16 + 6*u - u**2.
2*(u - 2)*(u + 5)
Let b be 1989/15147 + (-1)/(-11). Determine d so that 0 + 2/9*d**2 + 2/9*d**3 - 2/9*d**4 - b*d = 0.
-1, 0, 1
Let v be (88/(-55))/((-2)/5). Let d be v/6 + 12/9. Solve -4*u**d + 0*u - 2*u**3 + 2*u - 2*u = 0 for u.
-2, 0
Let z(q) = 48*q**2 + 93*q - 400. Let h(c) = 11*c**2 + 23*c - 100. Let j(m) = -26*h(m) + 6*z(m). Factor j(r).
2*(r - 10)**2
Let o = 79556/3 + -26517. Factor -7/3*v**2 + 0 - 6*v**3 + 2*v - o*v**4.
-v*(v + 1)*(v + 3)*(5*v - 2)/3
Suppose 5*l + 20 = 0, 16 = 5*z - 3*l + 4*l. Let r be (-12)/(-66) - 4/44*-31. Factor 0*f**r + 1/2*f**z - f**2 + 1/2 + 0*f.
(f - 1)**2*(f + 1)**2/2
Suppose -174*u + 166*u = -16. Let n(c) be the first derivative of -1 - 3/4*c - 1/4*c**u + 1/12*c**3. Let n(r) = 0. What is r?
-1, 3
Solve 6/11*l - 6/11*l**3 + 0 - 2/11*l**4 + 2/11*l**2 = 0 for l.
-3, -1, 0, 1
Factor 0 + 13*m + 1/11*m**2.
m*(m + 143)/11
Suppose 0 = 13*h + 2225 - 5254. Let z = h - 231. Factor 0 + 3/2*k**4 + 9/2*k**z + 5*k**3 + k.
k*(k + 1)*(k + 2)*(3*k + 1)/2
Let o(u) be the second derivative of 0 - u - 1/6*u**3 - 1/2*u**2 + 1/20*u**5 + 1/12*u**4. Factor o(b).
(b - 1)*(b + 1)**2
Let u = -158 + 198. Let h = -38 + u. Factor -2/5*w**h + 0 + 4/5*w.
-2*w*(w - 2)/5
Let n(y) = 2*y**4 - 2*y**3 - 4*y**2 - 4*y. Let q = -54 + 55. Let t(o) = -o**2 - o. Let i(l) = q*n(l) - 4*t(l). Determine h so that i(h) = 0.
0, 1
Let m = 65/1476 + -2/123. Let z(a) be the third derivative of 0*a**3 - 1/45*a**5 + 1/45*a**7 + m*a**6 + 0 + 0*a + 0*a**4 - a**2. Factor z(q).
2*q**2*(q + 1)*(7*q - 2)/3
Let j = -4/3357 + 1708733/16785. Let h = j + -101. Find w, given that 0 + 2/5*w**5 + h*w**2 - 2/5*w**3 + 0*w - 4/5*w**4 = 0.
-1, 0, 1, 2
Let d(x) = -2*x**3 - 21*x**2 + 2*x + 14. Let n(j) = -j**3 - 10*j**2 + j + 7. Let b(g) = 2*d(g) - 5*n(g). Let s be b(-8). Factor -2*u + 2 + u**2 + 0*u**2 - s.
(u - 1)**2
Let i(q) = -q**3 - 6*q**2 + 7. Let w(d) = -d**3 - 5*d**2 + 6. Let o be 4/10 - -3*56/30. Let n(c) = o*i(c) - 7*w(c). Suppose n(v) = 0. What is v?
0, 1
Let h(u) be the third derivative of -1/80*u**6 + 0*u + 0 + 21*u**2 - 5/16*u**4 + 1/2*u**3 + 1/10*u**5. Find m, given that h(m) = 0.
1, 2
Let p = 3833 - 26829/7. Determine f, given that -2/7*f + 0 + 2/7*f**2 + 2/7*f**3 - p*f**4 = 0.
-1, 0, 1
Let k(a) be the first derivative of a**5/10 - a**4/8 - 2*a**3/3 + a**2 + 92. Suppose k(o) = 0. What is o?
-2, 0, 1, 2
Suppose 5*w - 7*h = -3*h + 5, -4*w + 4 = 5*h. Let y(p) be the first derivative of 2/3*p**3 - w + 0*p**2 - 2*p. Suppose y(m) = 0. Calculate m.
-1, 1
Let y = -101 + 116. Find j, given that 25*j**3 + 2*j**4 + y*j**2 - 25*j - 6 - 14 + 2*j**4 + j**4 = 0.
-4, -1, 1
Factor 0 + p - 9/4*p**2 + 3/2*p**3 - 1/4*p**4.
-p*(p - 4)*(p - 1)**2/4
Let s = -4/1075 - -6494/11825. Factor -s*i**2 + 6/11*i**3 + 2/11*i - 2/11*i**4 + 0.
-2*i*(i - 1)**3/11
Let c(u) = u**2 + 11*u - 21. Let w be c(-13). Let 5*p**3 + 28 + 6*p + 36 - 52*p**2 + p**w + 42*p**3 - 12*p**4 - 54*p = 0. Calculate p.
-1, 1, 4
Suppose -3*c + 9 = 3*i, -i - 3*c + 6 = i. Let k(f) = 2*f - 4. Let u be k(i). Determine h so that -9/2*h + 0 - 3/2*h**3 + 6*h**u = 0.
0, 1, 3
Factor -3*i**2 + 25004 + 4*i**2 + i - 25064 - 6*i + 4*i**2.
5*(i - 4)*(i + 3)
Factor 3