or 1/3*r**o + 0 - r + s*r**2.
r*(r - 1)*(r + 3)/3
Let f be 12/(-54) + (-200)/(-495). Factor 0*g**2 + 0 + 2/11*g**3 - f*g**4 + 0*g.
-2*g**3*(g - 1)/11
Determine t so that 0 - 22*t**2 + 2/5*t**3 - 112/5*t = 0.
-1, 0, 56
Let b(j) be the third derivative of 0 + 0*j + 1/30*j**4 + 2/525*j**7 - 3*j**2 + 1/50*j**6 + 0*j**3 + 1/25*j**5. Factor b(x).
4*x*(x + 1)**3/5
Let y(h) be the second derivative of -9*h**5/110 + 115*h**4/66 + 152*h**3/33 + 28*h**2/11 - 116*h. Let y(b) = 0. What is b?
-1, -2/9, 14
Factor -2/23*g**4 + 0*g - 2/23*g**2 + 0 - 4/23*g**3.
-2*g**2*(g + 1)**2/23
Let c(n) be the second derivative of n**6/15 + 3*n**5/8 + 2*n**4/3 + n**3/4 - n**2/2 + 24*n. Factor c(a).
(a + 1)**2*(a + 2)*(4*a - 1)/2
Let c(p) be the first derivative of -p**7/5460 + 7*p**6/2340 + 17*p**5/780 + 3*p**4/52 + 3*p**3 - 26. Let o(b) be the third derivative of c(b). Factor o(u).
-2*(u - 9)*(u + 1)**2/13
Factor 0 + 12 + 0 + 32*a + 2*a**2 + 18.
2*(a + 1)*(a + 15)
Let n(v) be the first derivative of v**6/90 - v**5/45 + 8*v**3/3 + 17. Let g(k) be the third derivative of n(k). Factor g(l).
4*l*(3*l - 2)/3
Let n(y) be the first derivative of -6*y**5/25 - 17*y**4/5 - 626*y**3/45 - 292*y**2/15 - 56*y/5 - 103. Suppose n(u) = 0. What is u?
-7, -3, -2/3
Let o(b) be the first derivative of -b**6/9 + 16*b**5/45 - 2*b**4/9 - 4*b**3/9 + 7*b**2/9 - 4*b/9 - 37. What is u in o(u) = 0?
-1, 2/3, 1
Let f = 385 + -382. Let x(p) be the second derivative of 0*p**4 - 1/20*p**5 + 0 + 0*p**2 + p - 3/20*p**6 + 0*p**f - 1/12*p**7. Factor x(y).
-y**3*(y + 1)*(7*y + 2)/2
Let i(f) = -3*f**2 + 15*f - 12. Suppose u + 2*u + 81 = 0. Let m be u/(-18)*4/6. Let k(b) = -b + 1. Let r(w) = m*i(w) + 12*k(w). Suppose r(v) = 0. What is v?
0, 1
Let m(z) be the first derivative of 8*z - z**4 + 1/10*z**5 + 5 + 4*z**3 - 8*z**2. Factor m(a).
(a - 2)**4/2
Let x(a) = 5*a**3 - 10*a. Let o(q) = -q. Suppose -5*j - 25 = s + 4*s, 2*j + 10 = -3*s. Let r(b) = j*o(b) + x(b). What is l in r(l) = 0?
-1, 0, 1
Let i = 4604 + -32222/7. Solve -4/7 + i*v - 26/7*v**3 - 4/7*v**5 + 10/7*v**2 + 18/7*v**4 = 0.
-1/2, 1, 2
Let y(m) = -m**2 - 6*m - 4. Let w be y(-4). Let s(i) = -i**2 - 4*i. Let v be s(-3). Solve -5*j**v - 9*j**4 + j + 4*j**w - j = 0.
-1, 0
Suppose -3*i + 16 = 4*s + 1, 0 = 5*i + 3*s - 25. Let -4*q**3 + 8*q - i - 6 + 11 - 4*q**2 = 0. Calculate q.
-2, 0, 1
Let y(f) be the third derivative of 0*f**3 - 1/4*f**4 - 1/60*f**6 + 2/15*f**5 - 4*f**2 + 0 + 0*f. Factor y(k).
-2*k*(k - 3)*(k - 1)
Let j be ((-3)/(-4))/(-3 - (-33)/12). Let z be (j + ((-20)/(-12) - -1))*-9. Suppose 1/6*v**2 + 2/3*v**5 - 1/6*v**4 - 2/3*v**z + 0*v + 0 = 0. Calculate v.
-1, 0, 1/4, 1
Let s(o) be the third derivative of -o**8/784 - 8*o**7/735 + 3*o**6/280 + 37*o**5/210 + o**4/14 - 20*o**3/21 - 147*o**2. Determine n, given that s(n) = 0.
-5, -2, -1, 2/3, 2
Suppose 561*a = 1117*a - 559*a + 9. Let -2/3*l**a - 6 - 2*l + 10/3*l**2 = 0. What is l?
-1, 3
Let f(j) be the first derivative of -j**3/9 + 19*j**2/3 - 361*j/3 - 1. Factor f(k).
-(k - 19)**2/3
Let z be (13 - 16)*(1 + 0 - 2). Let q(f) = -2*f - 4. Let c be q(-3). Factor 4*y**c + 45 - 9*y - 18 - 2*y**3 - 19*y**2 - y**z.
-3*(y - 1)*(y + 3)**2
Factor 44*a + 1/2*a**3 - 72 - 17/2*a**2.
(a - 9)*(a - 4)**2/2
Let r(f) be the second derivative of f**9/6048 + f**8/1120 + f**7/560 + f**6/720 - 5*f**3 + 8*f. Let l(i) be the second derivative of r(i). Solve l(o) = 0.
-1, 0
Suppose -53*q + 66 = -40. Solve 1/3*w**3 + 0*w - 2/3*w**4 + 0*w**q + 1/3*w**5 + 0 = 0.
0, 1
Let y be 3/(-6)*(-7 - 1). Determine t so that -t**3 + y*t**3 - 5*t**3 + 2*t**4 + t**5 + 3*t**3 = 0.
-1, 0
Suppose -9*q + 4*q + 9 = 3*d, 5*d - 2*q = 15. Let s(f) be the first derivative of -3/4*f**4 + 0*f**2 + f**d + 0*f - 1. Factor s(i).
-3*i**2*(i - 1)
Let s(o) be the second derivative of 67/6*o**4 + 0 - 29/10*o**5 + 17*o + 9*o**2 - 17*o**3 + 4/15*o**6. Factor s(t).
2*(t - 3)**2*(t - 1)*(4*t - 1)
Let o(q) be the third derivative of -q**5/100 - 49*q**4/20 - 2401*q**3/10 - 93*q**2. Suppose o(x) = 0. What is x?
-49
Let j be 3/(-6)*(0 - -28). Let c be 69/21 - (-4)/j. Factor s**2 - c - 3*s - 2*s + 3*s.
(s - 3)*(s + 1)
Let v(u) be the third derivative of -3*u**2 + 0*u + 0*u**4 + 1/3*u**3 + 1/2700*u**6 + 0 + 1/900*u**5. Let l(f) be the first derivative of v(f). Factor l(w).
2*w*(w + 1)/15
Let r = -8 + 53. Determine b, given that 142*b + 127*b**2 + 53*b + 10*b**4 - 90 - r*b**3 - 137*b**2 = 0.
-2, 1/2, 3
Let g(w) = w**4 - 2*w**3 + w + 1. Let v(b) = 20*b**4 - 8*b**3 - 96*b**2 + 112*b - 4. Let l(a) = -24*g(a) + v(a). Factor l(f).
-4*(f - 7)*(f - 1)**3
Let w(b) be the third derivative of 1/150*b**6 + 1/75*b**5 + 0*b**3 + 0*b - 19*b**2 - 1/15*b**4 + 0. Solve w(z) = 0 for z.
-2, 0, 1
Let a be -2 - (-29 + -2 - 0). Let w(u) = -4*u - 144. Let n be w(-37). Suppose -a*g**n + 30*g**4 + g**2 + g**3 + g**3 = 0. Calculate g.
-1, 0
Let k(w) be the first derivative of 4*w**5/5 - 4*w**4 + 60. Determine b, given that k(b) = 0.
0, 4
Let a(t) be the first derivative of t**4/32 + 35*t**3/24 + 18*t**2 - 81*t/2 + 192. Factor a(w).
(w - 1)*(w + 18)**2/8
Let t = -610 + 6724/11. Let g(f) = f**3 + 11*f**2 + 11*f + 12. Let k be g(-10). Factor -30/11*p + 18/11 - 2/11*p**3 + t*p**k.
-2*(p - 3)**2*(p - 1)/11
Let l(t) be the third derivative of 0*t + 1/132*t**4 + 1/165*t**5 + 0 + 7*t**2 - 2/33*t**3 - 1/660*t**6. Find c such that l(c) = 0.
-1, 1, 2
Let v(a) = 3*a**2 - a - 1. Let l be v(-1). Suppose -5 + 11 = l*u. Factor 5*x**2 - 2 + 5 - x**u - 7.
4*(x - 1)*(x + 1)
Suppose -5*r + 14 = -11. Let h be 260/78*12/5. Let r*a**2 - a**2 + 8*a - h*a**2 = 0. What is a?
0, 2
Let k(d) = -3*d - 31. Let v be k(-11). Let n(a) be the first derivative of 2/3*a**3 + 0*a - a**v + 5. Factor n(y).
2*y*(y - 1)
Suppose 0 - 12/5*i**4 - 2/5*i**5 + 2*i + 12/5*i**2 - 8/5*i**3 = 0. Calculate i.
-5, -1, 0, 1
Let q = 4490 + -4488. Solve 6/5*j**q - 9/5*j - 6/5 = 0 for j.
-1/2, 2
Let s(r) be the third derivative of -r**7/420 - r**6/60 - 16*r**3/3 - 11*r**2. Let p(z) be the first derivative of s(z). Factor p(o).
-2*o**2*(o + 3)
Let s = 3191/5 - 629. Let q = -9 + s. Factor -1/5*o**4 + 1/5*o + 0 - 1/5*o**3 + q*o**2.
-o*(o - 1)*(o + 1)**2/5
Determine t so that -34/3*t + 12*t**2 - 2/3 = 0.
-1/18, 1
Let m(j) be the first derivative of j**6/50 - 3*j**5/25 + j**4/4 - j**3/5 + 5*j + 8. Let h(b) be the first derivative of m(b). Determine v so that h(v) = 0.
0, 1, 2
Suppose -39*l - 34 = -151. Factor 0 + 7/3*r**l + 2/3*r**2 + r**4 + 0*r.
r**2*(r + 2)*(3*r + 1)/3
Let w(m) = 15*m**4 + 140*m**3 + 495*m**2 - 5*m. Let d(s) = -23*s**4 - 210*s**3 - 743*s**2 + 8*s. Let c(j) = -5*d(j) - 8*w(j). Determine k so that c(k) = 0.
-7, 0
Suppose -51*b - 44*b = -285. Solve 3/5*v**5 + b*v**4 + 21/5*v**2 + 6/5*v + 27/5*v**3 + 0 = 0.
-2, -1, 0
Let y(n) be the first derivative of -n**6/1080 - n**5/60 - 5*n**4/72 + 13*n**3/3 - n - 2. Let g(q) be the third derivative of y(q). Factor g(c).
-(c + 1)*(c + 5)/3
Let y(j) = -550*j**3 + 375*j**2 + 175*j + 45. Let s(c) = -25*c**3 + 17*c**2 + 8*c + 2. Suppose -49*t + 45*t + 8 = 0. Let a(h) = t*y(h) - 45*s(h). Factor a(b).
5*b*(b - 1)*(5*b + 2)
Let y(q) be the third derivative of -7*q**5/114 + q**4/6 - q**3/19 + 349*q**2. Solve y(g) = 0 for g.
3/35, 1
Let v(a) = a**2 - 68*a + 317. Let w be v(5). Find d, given that -35/6*d**w - 14/3*d - 2/3 - 11/6*d**3 = 0.
-2, -1, -2/11
Let n(z) be the second derivative of z**5/5 - z**4 + 4*z**3/3 - 87*z. Factor n(c).
4*c*(c - 2)*(c - 1)
Let u(m) = 2*m + 39. Let f be u(-18). Factor -y**5 - 8*y**f - 7*y**5 + 2*y**2 - 2*y**2 - 20*y**4.
-4*y**3*(y + 2)*(2*y + 1)
Let i(k) = -8*k**3 - 1690*k**2 - 19598*k + 13838. Let j(h) = 2*h**3 + 563*h**2 + 6533*h - 4613. Let x(b) = -5*i(b) - 14*j(b). Factor x(s).
4*(s + 24)**2*(3*s - 2)
Let r(s) = 2 + 7*s**2 + 0*s**3 + 3*s**3 + 5*s - 2*s**3 + 0*s. Let h be r(-6). Factor -3*p**2 - 6*p**3 - 3*p**3 + 3*p**5 + 3*p**4 - 2*p**3 + h*p**3.
3*p**2*(p - 1)*(p + 1)**2
Factor 8/15 + 2/3*v + 2/15*v**2.
2*(v + 1)*(v + 4)/15
Let o(z) be the second derivative of -5*z**4/12 + 5*z**3/3 + 15*z**2/2 - 2*z + 26. Solve o(x) = 0.
-1, 3
Let k = 16710 - 32853/2. Suppose -144*t + k*t**2 + 24 - 729/4*t**3 = 0. What is t?
4/9, 2/3
Suppose 693/4*h**2 - 3 + 39*h = 0. What is h?
-2/7, 2/33
Let s(l) be the first derivative of -l**8/84 + l**6/15 - l**4/6 + l**2/2 + 14. Let g(t) be the second deriv