late f.
-2, -1
Factor -18*q**4 - 4*q**3 - q**5 - 29*q**4 - 6 + 4 + 5*q + 51*q**4 - 2*q**2.
-(q - 2)*(q - 1)**3*(q + 1)
Suppose 0 = 5*x + 51 - 81. Let w be (2/(-5))/((-1)/5). Factor n**2 + 3*n**2 + n + 3*n**w - x*n**2.
n*(n + 1)
Suppose 10*g**4 - 5*g**5 + 185*g**3 - 111*g**3 - 69*g**3 - 10*g**2 = 0. What is g?
-1, 0, 1, 2
Factor 17/4*x + 7/2*x**2 + 3/4*x**3 + 3/2.
(x + 1)*(x + 3)*(3*x + 2)/4
Let i(k) be the second derivative of -k**8/73920 + k**7/27720 + k**6/7920 - k**5/1320 - 7*k**4/3 - 29*k. Let c(a) be the third derivative of i(a). Factor c(s).
-(s - 1)**2*(s + 1)/11
Let w(b) be the second derivative of 0*b**3 + 0*b**2 + 0 + 1/50*b**5 + 1/150*b**6 + 0*b**4 + 8*b. Factor w(h).
h**3*(h + 2)/5
Let j = -64 + 90. Factor -9*o**3 + j*o**3 - 16*o**3.
o**3
Let u(k) be the third derivative of -k**7/5880 + k**6/504 + 13*k**5/840 + k**4/24 + 49*k**3/6 + k**2 - 3. Let m(b) be the first derivative of u(b). Factor m(w).
-(w - 7)*(w + 1)**2/7
Factor 35153041/2 + 913066*j + 1/2*j**4 + 17787*j**2 + 154*j**3.
(j + 77)**4/2
Let f(l) = -2*l**4 + 72*l**3 - 430*l**2 - 72*l + 434. Let n(p) = p**4 - p**2 + 2. Let h(i) = -f(i) + n(i). Factor h(m).
3*(m - 12)**2*(m - 1)*(m + 1)
Let y(o) = 11*o**2 + 3*o - 1. Let k(t) = -10*t**2 - 2*t + 2. Let g(h) = 7*k(h) + 6*y(h). Factor g(q).
-4*(q - 2)*(q + 1)
Let n(z) = 8*z**2 - 76*z - 2852. Let c(j) = j**2 - 11*j - 408. Let l(y) = 20*c(y) - 3*n(y). Factor l(q).
-4*(q - 11)*(q + 9)
Let g(b) be the second derivative of 0*b**2 - 1/3*b**3 + 0 + 1/6*b**4 + 7*b. Factor g(v).
2*v*(v - 1)
Solve 0 + 0*y + 2/11*y**4 + 0*y**2 - 2/11*y**3 = 0 for y.
0, 1
Suppose -10*m + 96 = 6*m. Let g(z) be the second derivative of -1/10*z**m - 5*z + 0 - 9/20*z**5 + 0*z**2 - 3/4*z**4 - 1/2*z**3. Find x such that g(x) = 0.
-1, 0
Solve 147*o**2 + 3*o**5 + 6*o**4 - 10*o**3 + 0*o**4 - 171*o**2 - 11*o**3 + 36*o = 0.
-3, -2, 0, 1, 2
Let j(z) = z**2. Suppose -41 = 7*v + 1. Let p(h) = -2*h**2 + 4*h. Let i(l) = v*j(l) - p(l). Solve i(c) = 0.
-1, 0
Let l(b) be the first derivative of -16/9*b**2 - 1/54*b**4 - 8/27*b**3 + 10*b - 2. Let k(d) be the first derivative of l(d). Factor k(f).
-2*(f + 4)**2/9
Factor 1/2*o**3 + 11*o + 0 + 13/2*o**2.
o*(o + 2)*(o + 11)/2
Let a = 848 + -846. Factor 3/4 + 3/4*t - 3/2*t**a.
-3*(t - 1)*(2*t + 1)/4
Suppose 5*w - v = 222, -4*w + 0*w = v - 174. Let b be (22/w)/(10/4). Factor -1/5*f + 1/5*f**2 - b + 1/5*f**3.
(f - 1)*(f + 1)**2/5
Let m(r) be the first derivative of r**7/945 - r**6/540 - r**2 + 2. Let a(k) be the second derivative of m(k). Factor a(d).
2*d**3*(d - 1)/9
Let y = -12933 - -12938. Determine l, given that 6*l + 0 - 33/2*l**3 + 18*l**2 + 21/2*l**y - 18*l**4 = 0.
-1, -2/7, 0, 1, 2
Let u(w) be the first derivative of w**5/12 + 5*w**4/6 + 5*w**3/2 - 13*w**2/2 - 9. Let i(y) be the second derivative of u(y). Factor i(n).
5*(n + 1)*(n + 3)
Let n = -62 + 62. Let o(x) = -x**3 + x**2 - x + 2. Let u be o(n). Factor 1/2*j**u + j + 1/2.
(j + 1)**2/2
Let s(n) = 4*n**4 + 18*n**3 - 54*n**2 + 68*n - 18. Let y(g) = 4*g**4 + 17*g**3 - 55*g**2 + 68*g - 19. Let r(z) = -5*s(z) + 6*y(z). Factor r(t).
4*(t - 1)**3*(t + 6)
Let p(i) = 23*i**3 + 172*i**2 + 118*i - 37. Let c(y) = -45*y**3 - 345*y**2 - 235*y + 75. Let n(m) = 3*c(m) + 5*p(m). Factor n(b).
-5*(b + 1)*(b + 8)*(4*b - 1)
Suppose 2*k + 90*o - 91*o = -5, -5*k = -2*o + 10. Let d = 5 + -2. Find n such that 1/3*n**d + 0*n + k - 1/3*n**4 + 0*n**2 = 0.
0, 1
Let i(f) be the third derivative of f**9/12096 + f**8/2016 - f**7/252 - f**6/18 + 2*f**5/3 + 28*f**2. Let d(w) be the third derivative of i(w). Factor d(h).
5*(h - 2)*(h + 2)**2
Let v = 85/2 + -247/6. Let h = 143/3 - 47. Find a such that -h*a**4 + v*a + 0*a**3 + 2*a**2 + 0 = 0.
-1, 0, 2
Let i(g) be the third derivative of g**6/180 - 2*g**5/15 + 11*g**4/36 - 328*g**2. Factor i(z).
2*z*(z - 11)*(z - 1)/3
Let q(h) = -13*h**3 - 21*h**2 - 6*h + 18. Let t(v) = 2*v**3 + v**2 + v - 3. Let y(z) = 5*q(z) + 30*t(z). Suppose y(m) = 0. What is m?
-15, 0
Let d be 2/((-6)/(-21)) + -2. Let z = d + -3. Determine x, given that 6*x**3 + 5*x**5 - 9*x**4 - 10*x + x + 6*x**2 + 0 - z*x**5 + 3 = 0.
-1, 1
Let d(f) be the third derivative of 0 - 1/360*f**6 + 1/72*f**4 + 0*f**3 - 1/630*f**7 + 0*f - 13*f**2 + 1/180*f**5. Solve d(v) = 0 for v.
-1, 0, 1
Determine m so that 4/5*m**2 + 6/5*m + 1/5*m**4 - 1 - 6/5*m**3 = 0.
-1, 1, 5
Let k(b) = -b + 11. Let u be k(6). Suppose -v = -3*t + 8*t - 7, -4*v + u = -3*t. Factor -6/11*g + 2/11 - 8/11*g**v.
-2*(g + 1)*(4*g - 1)/11
Let f(a) be the third derivative of a**7/735 + a**6/420 - a**5/14 + 23*a**4/84 - 10*a**3/21 + 364*a**2. Solve f(c) = 0.
-5, 1, 2
Let f = 315 - 12599/40. Let z(h) be the second derivative of 0 - 2*h**2 + h**3 - 1/4*h**4 + 3*h + f*h**5. Factor z(g).
(g - 2)**3/2
Let r be (-3)/8*1 - 4*287/(-672). Suppose r*d**5 + 0*d**3 - 4/3*d - 8/3*d**2 + 8/3*d**4 + 0 = 0. Calculate d.
-1, 0, 1
Let x = -9/118 + 353/1534. Factor 0 + 0*r**2 - 2/13*r**3 + x*r.
-2*r*(r - 1)*(r + 1)/13
Let y(f) be the first derivative of f**4/28 + 2*f**3/7 + 4*f**2/7 - 34. Find h, given that y(h) = 0.
-4, -2, 0
Factor -4*f**3 + 698*f + 2*f**4 + 32 + 56*f**2 - 626*f + 24*f**3 - 2*f**3.
2*(f + 1)*(f + 2)**2*(f + 4)
Solve 332*c**2 + 24 + 21 - 337*c**2 = 0.
-3, 3
Let t(s) be the first derivative of s**4/2 + 18*s**3 - 121*s**2 + 186*s + 382. Factor t(d).
2*(d - 3)*(d - 1)*(d + 31)
Find a such that -8*a**4 - 16*a**4 - 8*a**3 + 12*a**4 - 4*a**5 = 0.
-2, -1, 0
Let w = 37/1104 - -3/368. Let p(h) be the second derivative of 0*h**2 + h + w*h**4 - 1/80*h**5 + 0 - 1/24*h**3. Factor p(b).
-b*(b - 1)**2/4
Let x = -73 + 78. Let v(o) be the second derivative of -1/18*o**3 + 1/30*o**5 + 1/6*o**2 + 1/90*o**6 - x*o - 1/126*o**7 + 0 - 1/18*o**4. Factor v(l).
-(l - 1)**3*(l + 1)**2/3
Find h such that 8/3*h**2 + 20/9 + 2/9*h**3 + 14/3*h = 0.
-10, -1
Let h = -7 - -9. Factor -5*s**h - 2*s**2 + 6*s**2 - 3*s**2.
-4*s**2
Let l(x) be the first derivative of 3*x**5/20 + 2*x**4 - 31*x + 11. Let n(h) be the first derivative of l(h). What is k in n(k) = 0?
-8, 0
Let q(v) = -3*v**5 - v**4 - 2*v**3 + 4*v**2 - 4. Let h = 94 + -106. Let j(p) = p**4 + p**2 - 1. Let x(f) = h*j(f) + 3*q(f). Factor x(i).
-3*i**3*(i + 1)*(3*i + 2)
Let s(m) = 6*m - 12. Let w be s(1). Let o be 0 + 3 - -3*2/w. Factor -2/3*r - 4/9 - 2/9*r**o.
-2*(r + 1)*(r + 2)/9
Let g be (-1 - 6) + (14 - (-11)/(-2)). Suppose -9/4 + 3/4*q + g*q**2 = 0. Calculate q.
-3/2, 1
Suppose -19*s + 70 = 12*s + 4*s. Find w such that 2/5*w**s + 8/5 - 8/5*w = 0.
2
Let c be (-2)/7 + (-3)/(-63)*146. Let v = 1129/3 + -373. Find m such that c*m**3 + 2/3*m**5 - 2/3 - 20/3*m**2 - v*m**4 + 10/3*m = 0.
1
Let p = -35 - -41. Let i(o) = o**2 + 1. Let k(z) = 5*z**2 + 3. Let r(d) = 4*i(d) - k(d). Let u(m) = -3*m**2 - m + 4. Let q(w) = p*r(w) - 3*u(w). Factor q(a).
3*(a - 1)*(a + 2)
Let u(h) be the first derivative of 2*h**3/39 - 5*h**2/13 - 48*h/13 - 467. Suppose u(i) = 0. What is i?
-3, 8
Let a(n) = 8*n**2 - 24*n + 44. Let p(d) = 9*d**2 - 24*d + 46. Let l(w) = 5*a(w) - 4*p(w). Factor l(q).
4*(q - 3)**2
Let z = 276/7 + -2753/70. Let m(i) be the first derivative of -z*i**2 - 1/15*i**3 + 2/5*i + 3. Factor m(h).
-(h - 1)*(h + 2)/5
Let u(d) be the second derivative of d**6/10 + 9*d**5/20 + d**4/2 + 51*d. Determine b, given that u(b) = 0.
-2, -1, 0
Let x(l) = 9*l**5 + 20*l**4 + 25*l**3 - 9*l**2 - l. Let v(z) = 5*z**5 + 11*z**4 + 13*z**3 - 5*z**2. Let m(g) = 11*v(g) - 6*x(g). Find n such that m(n) = 0.
-3, -1, 0, 1, 2
Suppose -3*x + 23 = -x + 3*v, 0 = -5*x - 2*v + 30. Factor -58 - x*r**2 - 44 + 40*r + 2.
-4*(r - 5)**2
Let x(c) = -c**2 + 15*c + 18. Let h be x(16). Suppose -16*y - 5*y**2 - 2*y**2 + 5*y**h = 0. What is y?
-8, 0
Let k(a) be the first derivative of 0*a + 9*a**2 - 2/5*a**5 - 39 - 10*a**3 + 7/2*a**4. Find w such that k(w) = 0.
0, 1, 3
Let x(g) be the first derivative of 2*g**2 + 3*g + 6. Let f be x(0). Factor 2/3*l**2 - 2/3*l + 0 - 1/6*l**f.
-l*(l - 2)**2/6
Let q(v) be the second derivative of -5*v**4/12 + 65*v**3/3 + 140*v**2 + 4*v + 29. Let q(k) = 0. What is k?
-2, 28
Let n(s) be the second derivative of -s**4/36 - 7*s**3/9 + 16*s**2/3 - 13*s - 1. Factor n(m).
-(m - 2)*(m + 16)/3
Let l be (81/(-693))/((-21)/77). Factor l*y**3 + 1/7*y**2 + 0*y - 4/7*y**4 + 0.
-y**2*(y - 1)*(4*y + 1)/7
Let v(z) = 4*z**3 - 32*z**2 + 8*z + 32. Let t(s) = -s. Let g(h