 t*j**2 + 2*j**3 + 0*j**3 - 15*j + 3*j**4.
3*(j - 2)*(j + 1)**3
Let f be (-28)/(-21) + (-60)/(-9). Let g be 0*(-2 - (-12)/f). What is y in 33*y**3 - 12*y + 36*y**2 - 153*y**4 + g*y**3 - 75*y**5 + 63*y**4 = 0?
-1, 0, 2/5
Suppose -4*c - 6 = 4*f - 22, 16 = 5*f + 3*c. Suppose 5*d = -2*r - 20, -16 = -19*r + 21*r + 4*d. Factor -9 + r*p**2 - 5*p**3 - 6 - 3*p**2 - 2*p**f + 25*p.
-5*(p - 1)**2*(p + 3)
Let x = -106 - -256. Let c = -449/3 + x. Suppose 0 - c*k**2 + 1/3*k = 0. Calculate k.
0, 1
Let l(y) be the second derivative of y**8/3360 + y**7/735 + y**6/840 - y**5/210 + 7*y**4/6 + 11*y. Let k(d) be the third derivative of l(d). Factor k(h).
2*(h + 1)**2*(7*h - 2)/7
Let d = 100 + -96. Let q(h) be the third derivative of -h**2 - 1/24*h**6 + 0*h**3 + 0*h + 0 + 1/20*h**5 + 1/12*h**d. Factor q(c).
-c*(c - 1)*(5*c + 2)
Let v(b) be the second derivative of -b**4/4 + 11*b**3 + 69*b**2/2 - 4*b + 21. Let v(u) = 0. What is u?
-1, 23
Let j = -836 + 1681/2. Determine f so that -12*f + 18*f**2 - j*f**4 + 0 - 3*f**3 + 3/2*f**5 = 0.
-2, 0, 1, 2
Let g(h) = h**2 - 9*h - 5. Let v be (-1 - 2)*40/(-12). Let n be g(v). Solve 6/7*b**2 + 0 + 6/7*b**3 - 2*b**4 - 4/7*b + 6/7*b**n = 0 for b.
-2/3, 0, 1
Let x = 11668 + -1516863/130. Let p = -3/130 - x. Factor -8/13*y - p*y**2 - 6/13.
-2*(y + 1)*(y + 3)/13
Let d = 30156 - 30154. Let 4/7*u**d - 6/7*u - 2/21*u**3 + 8/21 = 0. Calculate u.
1, 4
Let n(k) be the third derivative of k**6/30 + k**5/3 - 2*k**4 - 24*k**3 + 141*k**2. Factor n(z).
4*(z - 3)*(z + 2)*(z + 6)
Let h(l) be the first derivative of -l**6/200 + 11*l**5/200 - 3*l**4/20 - 3*l**3 - 13. Let y(f) be the third derivative of h(f). Let y(n) = 0. Calculate n.
2/3, 3
Let d be 2/(4*1/4). Suppose 0 = g + d*g + g. Suppose 0*a**2 + 0 + 0*a + 2/3*a**3 + g*a**4 - 2/3*a**5 = 0. What is a?
-1, 0, 1
Suppose 0 = 4*w - 8*w. Let m(y) be the second derivative of -3*y + 0*y**2 + w + 0*y**3 - 1/36*y**4. Let m(v) = 0. Calculate v.
0
Let x(r) = 10*r - r**2 - 36 + 3*r**2 + 42. Let h(t) = 3*t**2 + 19*t + 11. Let p(l) = -6*h(l) + 11*x(l). Find k, given that p(k) = 0.
0, 1
Suppose 31 + i**4 - 48*i**2 - 11*i**3 - 81*i + 93*i**2 + 30 - 38 + 31 = 0. Calculate i.
2, 3
Suppose 0*v + 0 + 288/7*v**2 + 2/7*v**4 - 48/7*v**3 = 0. What is v?
0, 12
Let b(s) = 3*s**3 - 9*s**2 - 18*s. Let p(v) = -6*v**3 + 19*v**2 + 35*v. Let w(y) = -5*b(y) - 3*p(y). Find c such that w(c) = 0.
-1, 0, 5
Let k = 8 - 10. Let f be (-3 - k) + (9 - 5). Suppose -2*t - 2*t**2 + t**3 - 6*t**3 - 2*t**f + 11*t**2 = 0. What is t?
0, 2/7, 1
Let w(d) = 7*d**2 + 9*d + 130. Let m(y) = -36*y**2 - 60*y - 651. Let c(f) = -4*m(f) - 21*w(f). Factor c(k).
-3*(k - 14)*(k - 3)
Factor -432*g**3 + g**5 + 435*g**3 - 2*g**4 + 6*g**4.
g**3*(g + 1)*(g + 3)
Let g(o) be the first derivative of -14 + 1/5*o**2 + 1/5*o**4 + 1/25*o**5 + 1/3*o**3 + 0*o. Factor g(p).
p*(p + 1)**2*(p + 2)/5
Let b(t) be the first derivative of 1/3*t**6 + 1/4*t**2 - 4/15*t**5 - 1/3*t + 5/9*t**3 - 5 - 5/8*t**4. Find m, given that b(m) = 0.
-1, -1/2, 1/2, 2/3, 1
Let s(w) be the third derivative of w**6/600 - w**5/100 - w**4/20 + 4*w**3/15 + 75*w**2. Solve s(l) = 0.
-2, 1, 4
Let z(x) = -x + 0*x**3 - x**2 + 0*x**2 - 5*x**3 + x**4 - 2. Let t(m) = 2*m**4 - 6*m**3 - m - 3. Let j(v) = -2*t(v) + 3*z(v). Factor j(y).
-y*(y + 1)**3
Factor 9/5 - 1/5*f**2 + 8/5*f.
-(f - 9)*(f + 1)/5
Let i(g) = 4*g**3 - g**2 + g - 2. Let u(q) = 3*q**3 - 322*q**2 - 303*q + 626. Let a(z) = 2*i(z) - u(z). Factor a(b).
5*(b - 1)*(b + 2)*(b + 63)
Let t = -23 - -71/3. Let v = -32 + 97/3. Factor t*z**2 - v*z - 1/3.
(z - 1)*(2*z + 1)/3
Let q(z) = -z**2 - z + 2. Let o(w) = -2*w**2 + 1. Let i(l) = -23*l**2 + 15. Let t(d) = -4*i(d) + 44*o(d). Let y(m) = 2*q(m) + t(m). Solve y(a) = 0 for a.
-2, 3
Let o(x) be the second derivative of -x**6/6 - 5*x**5/4 - 5*x**4/4 + 25*x**3/6 + 10*x**2 + 198*x. Find b such that o(b) = 0.
-4, -1, 1
Let p(x) be the second derivative of x**5/100 + 2*x**4/15 - 3*x**3/10 - 301*x. Factor p(u).
u*(u - 1)*(u + 9)/5
Suppose -4*k = -7*k. Suppose k = -0*i - i + 4. Find f such that i*f**3 - f + 3*f - f**3 + 4*f - 9*f**2 = 0.
0, 1, 2
Let w(r) be the third derivative of 0 - 5/6*r**4 - 1/42*r**7 - 22*r**2 - 2/3*r**5 - 5/24*r**6 + 0*r**3 + 0*r. Solve w(k) = 0 for k.
-2, -1, 0
Let a = 427/3942 + -5/146. Let t(l) be the first derivative of -2/9*l + 2/9*l**4 + 5 + a*l**3 - 4/9*l**2. Determine w so that t(w) = 0.
-1, -1/4, 1
Let k(s) = s**2 - 9*s - 19. Let a be k(11). Factor 2*y**4 + 2*y**2 - 1275*y + 4*y**a + 1275*y.
2*y**2*(y + 1)**2
Let q(a) = a**2 - 8*a + 12. Let s be q(7). Find y such that -5*y**3 + 4*y**3 - 2*y**4 + 4*y**3 + 0*y**5 - y**s = 0.
-3, 0, 1
Let p = 21 - 17. Find y such that -p*y**3 + y**5 - 2*y + y**3 + 11*y**2 - 16*y**2 + y**4 = 0.
-1, 0, 2
Suppose z = 4*i - 8, -3*i - 6 = -z - 6*i. Find c, given that 3/2 + 0*c + z*c**3 - 3*c**2 + 3/2*c**4 = 0.
-1, 1
Let q(d) be the second derivative of -2*d**6/15 - d**5 - 4*d**4/3 + 119*d - 1. Factor q(t).
-4*t**2*(t + 1)*(t + 4)
Let r(a) be the third derivative of -1/40*a**6 + 0*a + 12*a**2 - 1/5*a**5 + 0 - 5/8*a**4 - a**3. What is h in r(h) = 0?
-2, -1
Factor 3/2 + 3/4*d**4 - 21/4*d - 15/4*d**3 + 27/4*d**2.
3*(d - 2)*(d - 1)**3/4
Let m(i) = 38*i**3 - 54*i**2 - 30*i - 34. Let w(q) = -12*q**3 + 17*q**2 + 10*q + 11. Let d(a) = -5*m(a) - 16*w(a). Factor d(r).
2*(r - 3)*(r + 1)**2
Let w(t) = -t**2 - 7*t + 6. Let b be w(-8). Let d be b + 1 - 1 - (-200)/95. Find c such that d*c**2 + 8/19*c + 8/19 = 0.
-2
Let z(c) be the second derivative of -1/32*c**4 - 21*c - 1/16*c**3 + 0 + 0*c**2. Suppose z(i) = 0. Calculate i.
-1, 0
Let n = -1061/3 + 354. Let q(u) be the second derivative of 3/2*u**2 + n*u**3 + 0 - 5*u - 5/12*u**4. Determine f so that q(f) = 0.
-3/5, 1
Factor 1/2*z**3 + 0 - 161*z**2 + 25921/2*z.
z*(z - 161)**2/2
Suppose 0*u - 4*w - 1902 = 2*u, 1908 = -2*u - w. Let v = u + 3841/4. Let 3*a**3 - v*a + 9/4*a**5 + 6*a**4 - 3/2 - 9/2*a**2 = 0. What is a?
-1, -2/3, 1
Let g(h) be the second derivative of 5*h**7/42 - 2*h**6/3 + 3*h**5/4 + 5*h**4/3 - 10*h**3/3 - 447*h. What is u in g(u) = 0?
-1, 0, 1, 2
Let g(x) be the third derivative of -x**8/1008 - x**7/315 + x**6/18 - 2*x**5/15 + 320*x**2. Factor g(w).
-w**2*(w - 2)**2*(w + 6)/3
Let x(a) = 3*a**2 - 17*a + 13. Let c be x(5). Let v(k) be the first derivative of 8 - 192*k - 12*k**c - 72*k**2 - 3/4*k**4. Solve v(g) = 0.
-4
Let o(f) be the first derivative of -f**4/24 + f**3/12 + f**2/2 - 2*f + 10. Let l(u) be the first derivative of o(u). Factor l(h).
-(h - 2)*(h + 1)/2
Let v(o) be the first derivative of 2*o**5/35 + 11*o**4/14 - 50*o**3/21 + 13*o**2/7 - 145. Solve v(y) = 0 for y.
-13, 0, 1
Find t such that -10*t - 176*t**2 - 10*t + 89*t**2 + 82*t**2 = 0.
-4, 0
Let q = 4380 - 4377. Factor -3/5*u**q + 0 + 0*u**2 + 3/5*u.
-3*u*(u - 1)*(u + 1)/5
Let t(s) be the second derivative of -s**4/18 + 28*s**3/3 - 588*s**2 + s + 6. Suppose t(a) = 0. Calculate a.
42
Let k(b) be the second derivative of -b**5/80 - 3*b**4/16 - b**3/3 - 102*b - 2. Factor k(i).
-i*(i + 1)*(i + 8)/4
Let r(c) be the third derivative of 8/21*c**7 - 15/112*c**8 - 12*c**2 + 0 + 0*c**3 + 0*c + 0*c**4 - 5/24*c**6 - 1/6*c**5. Factor r(s).
-5*s**2*(s - 1)**2*(9*s + 2)
Let w(m) be the third derivative of 1/160*m**6 - 38*m**2 + 0*m**3 + 0*m + 0 - 1/16*m**8 - 1/40*m**5 + 29/280*m**7 + 0*m**4. Let w(k) = 0. Calculate k.
-1/4, 0, 2/7, 1
Let o = -145 - -127. Let w be (-4)/o - 10/945*-87. Solve 6/7*i**3 + 24/7*i - 22/7*i**2 - w = 0 for i.
2/3, 1, 2
Let v(y) be the first derivative of -2*y**5/65 + 27*y**4/26 + 56*y**3/39 - 199. Factor v(b).
-2*b**2*(b - 28)*(b + 1)/13
Let j(b) be the second derivative of -25*b**7/6 + 47*b**6/3 + 717*b**5/80 - 51*b**4/16 - 9*b**3/4 - 135*b. Determine m so that j(m) = 0.
-3/10, 0, 2/7, 3
Let v(a) be the first derivative of 0*a + 7 + 10/3*a**3 + 2*a**2. Factor v(y).
2*y*(5*y + 2)
Factor -8 + 44*o + 81/2*o**3 - 153/2*o**2.
(o - 1)*(9*o - 4)**2/2
Let c(h) = 62*h - 184. Let v be c(3). Factor 2/7*s**v + 8/7*s + 8/7.
2*(s + 2)**2/7
Suppose 75 = -155*g + 75. Factor -9/8*w**2 + 0*w + g + 3/8*w**3.
3*w**2*(w - 3)/8
Suppose 6*i + 5*n + 7 = 5*i, 2*i + 4*n + 2 = 0. Factor -1040*x**i + 1036*x**3 - 5*x**4 - 2*x**5 - x**4.
-2*x**3*(x + 1)*(x + 2)
Let d(o) be the third derivative of o**8/5040 + o**7/90 + 13*o**6/180 - 11*o**5/15 - 23*o**2. Let w(f) be th