*(r - 1)**2
Let r be (-6509)/(-5565) + 36/84. Let j = r + 2/1113. Factor j*d**2 + 0 + 2/5*d.
2*d*(4*d + 1)/5
Let c(n) be the third derivative of n**6/360 + 4*n**5/45 - 19*n**4/18 + 40*n**3/9 - 731*n**2. Factor c(a).
(a - 2)**2*(a + 20)/3
Let z(v) = -9*v**4 + 72*v**3 + 225*v**2 + 6*v - 306. Let s(n) = 17*n**4 - 143*n**3 - 450*n**2 - 13*n + 611. Let b(o) = -6*s(o) - 11*z(o). What is k in b(k) = 0?
-2, 1, 25
Let j = -10/121 - -2006/847. Let u(a) = -66*a - 196. Let g be u(-3). Factor j*y - 16/7 - 4/7*y**g.
-4*(y - 2)**2/7
Factor 2*p**2 + 139*p + 134*p - 362*p + 118*p - 3*p**2.
-p*(p - 29)
Let v(k) be the third derivative of 1/20*k**5 + 17*k**2 + 0*k - 7/8*k**4 + 3*k**3 + 0. Factor v(u).
3*(u - 6)*(u - 1)
Let f(p) = p**4 + p**3 - p**2 + p + 2. Let w(s) = -2*s**4 + 15*s**3 - 76*s**2 + 97*s - 2. Let g(c) = -f(c) - w(c). Factor g(o).
o*(o - 7)**2*(o - 2)
Let g(y) be the second derivative of y**4/4 - 12*y**3 + 69*y**2/2 + 152*y. Let g(c) = 0. What is c?
1, 23
Let c be (0 + (-9)/(-90))*0. Factor -1/6*a**2 + 1/6*a**5 + 1/2*a**3 + 0*a - 1/2*a**4 + c.
a**2*(a - 1)**3/6
Let j(w) be the first derivative of -2/95*w**5 + 2/57*w**3 + 0*w + 0*w**2 + 0*w**4 + 17. Let j(i) = 0. Calculate i.
-1, 0, 1
Suppose -2*w = v - 19, -5*w + 5*v = -4*w + 7. Let r = -8 + w. Factor r*o**2 - 4/5*o**3 + 0 + 0*o + 2/5*o**4.
2*o**3*(o - 2)/5
Let t(m) be the third derivative of -m**8/1680 + m**7/126 - m**6/30 + 5*m**4/8 + 36*m**2. Let c(u) be the second derivative of t(u). Factor c(f).
-4*f*(f - 3)*(f - 2)
Suppose -9*f + 3*f + 12 = 0. Let k(z) be the second derivative of -1/2*z**f + 0 - 1/6*z**3 - 6*z + 1/16*z**4. Let k(a) = 0. What is a?
-2/3, 2
Suppose -4*y - 30 = 2*i, -6*i + 20 = -4*y - 10*i. Let q(d) = d**2 + 11*d + 10. Let r be q(y). Factor -81/5*x**4 + 18*x**3 + r - 44/5*x**2 + 8/5*x + 27/5*x**5.
x*(x - 1)*(3*x - 2)**3/5
Let o be (-2 + 0 + 1)/((-4)/20). Let l(c) = c**2 - 4*c - 2. Let x be l(o). Factor 21/5*f**2 - 3/5*f - 9*f**x + 27/5*f**4 + 0.
3*f*(f - 1)*(3*f - 1)**2/5
Let m(t) be the second derivative of -t**6/15 + 23*t**5/70 - 10*t**4/21 + 4*t**3/21 - 3*t + 6. Determine a so that m(a) = 0.
0, 2/7, 1, 2
Let w(l) = 10*l**2 + 14*l + 4. Let h be (20/(-5))/(0 - 2). Let c(d) = 7*d - 6*d + 2*d - 3 + 4 + 2*d**h. Let f(n) = -28*c(n) + 6*w(n). Factor f(q).
4*(q - 1)*(q + 1)
Suppose -28 = 8*x - x. Let o be (8/40)/((-1)/x). What is p in o*p**2 - 9/10 + 1/10*p**4 + 3/5*p**3 - 3/5*p = 0?
-3, -1, 1
Let u(f) be the third derivative of -f**8/1512 + f**7/189 - f**6/60 + 7*f**5/270 - f**4/54 - f**2 + 34. Factor u(o).
-2*o*(o - 2)*(o - 1)**3/9
Let j be (4/(-3))/(-4*(-7)/2520). Let z be (-2)/(-6) - 2*4/j. Factor -2/5*p**2 + 0 + z*p.
-2*p*(p - 1)/5
Factor -660*f - 79*f**3 - 23*f**3 - 89*f**3 - 452*f - 169*f**3 + 4*f**4 - 372 - 1104*f**2.
4*(f - 93)*(f + 1)**3
Solve -5*z + 38*z**4 + 28*z**3 - 4*z**5 - 26*z**4 - 19*z - 44*z**2 + 35 - 3 = 0.
-2, -1, 1, 4
Let b(n) be the first derivative of -n**5/7 + 3*n**4/7 - 3*n**3/7 + n**2/7 - 79. Find h such that b(h) = 0.
0, 2/5, 1
Let u be (1 - (14/4 - 1))/(-36). Let j(f) be the second derivative of -u*f**3 + 0 + 1/48*f**4 + 5*f + 0*f**2. Factor j(z).
z*(z - 1)/4
Let x(j) be the second derivative of 7*j**5/20 + j**4/12 + 71*j. Determine c, given that x(c) = 0.
-1/7, 0
Suppose -20*h = 39*h - 236. Factor 3/5*r**2 - 3/5*r**3 - 1/5*r + 0 + 1/5*r**h.
r*(r - 1)**3/5
Suppose -4*d = 2*q - 6, 0*d - d + 4*q + 24 = 0. Determine a so that -451*a**3 + 15*a + 2*a**5 + 2*a**2 - 3*a - 2*a**d + 437*a**3 = 0.
-2, -1, 0, 1, 3
Let q = 125 + -37. Determine t so that -350*t**3 + 20 - 30*t**4 - 140*t + 155*t**4 + 257*t**2 + q*t**2 = 0.
2/5, 1
Suppose t - 4*o = 14, -2*t + 2*o = 6*o + 8. Factor -232*x - 8*x**t + 0*x**2 + 216*x - 5*x**3 - 9*x**2 - 4.
-(x + 1)*(x + 2)*(5*x + 2)
Factor -16*r**2 - 441*r**3 + 4*r - 20*r + 437*r**3.
-4*r*(r + 2)**2
Let a(j) = -4*j**3 + 4*j**2 + 11*j - 16. Let p = 20 + -26. Let o(c) = 4*c**3 - 4*c**2 - 10*c + 16. Let f(h) = p*a(h) - 5*o(h). Let f(x) = 0. What is x?
-2, 1, 2
Let n(d) be the third derivative of 1/90*d**5 - 15*d**2 + 1/9*d**4 + 0*d + 0 + 4/9*d**3. Factor n(f).
2*(f + 2)**2/3
Suppose -5*l = -35*r + 36*r - 4, 2*l + 4*r = 16. Solve l*d + 2/7 - 2/7*d**2 = 0.
-1, 1
Let v(n) be the second derivative of 3*n**6/35 + 17*n**5/140 - n**4/84 + 458*n. Find r, given that v(r) = 0.
-1, 0, 1/18
Suppose -5*w - 5 = -4*w, 5*w + 45 = 5*g. Let 4/15*h**3 - 2/5 - 16/15*h - 16/15*h**g + 34/15*h**2 = 0. What is h?
-3/2, -1/4, 1
Let i(n) be the first derivative of n**4 - 44*n**3 + 126*n**2 - 124*n + 464. Determine k so that i(k) = 0.
1, 31
Let w be (100/6)/((-748)/(-561)). Let j(i) be the first derivative of -14 + 15/4*i**4 + w*i**2 - 5*i - 35/3*i**3. Determine f, given that j(f) = 0.
1/3, 1
Let k(t) be the second derivative of 18*t + 0*t**3 + 1/21*t**4 + 0 + 0*t**2. Factor k(w).
4*w**2/7
Let n(i) be the second derivative of -i**5/50 + i**4/30 + 8*i**3/5 + 36*i**2/5 - 10*i - 1. Determine v so that n(v) = 0.
-3, -2, 6
Let v = -7 + 27. Solve v*o**2 - 5*o - 3*o**3 - 7*o - 3*o - 2*o**3 = 0.
0, 1, 3
Let u = 3617/30 + -1189/10. Find m, given that u*m - 1/3*m**2 + 0 = 0.
0, 5
Let d(w) = 4*w**2 - 21*w - 5. Let y(f) = -2*f**2 + 11*f + 3. Let q(p) = -3*d(p) - 5*y(p). Factor q(z).
-2*z*(z - 4)
Let u(s) = -5*s**2 + 4*s + 9. Let o be 2/(-6) + 14/6. Let x(m) = 0*m + 5 + 0*m**o - 3*m**2 + 2*m. Let b(r) = -4*u(r) + 7*x(r). Factor b(f).
-(f + 1)**2
Let r be 21/(-12) + (-9)/(-12). Let f be 16/15 + 6/10 + r. Let -f*j**4 + 0 - 2/3*j**2 + 4/3*j**3 + 0*j = 0. Calculate j.
0, 1
Let s(w) = -87*w - 957. Let k be s(-11). Let v(n) be the first derivative of 0*n + 2/25*n**5 - 1 + k*n**4 + 1/30*n**6 - 1/10*n**2 - 2/15*n**3. Solve v(d) = 0.
-1, 0, 1
Let c be (-6108)/14*(-35)/(-19150)*-2. Let o = c + 2/383. Factor o*i**3 + 14/5*i**2 + 4/5*i - 2/5.
2*(i + 1)**2*(4*i - 1)/5
Let v = -56 - -61. Find o such that 4*o - 52*o**5 + 3*o**3 + 56*o**v - 11*o**3 = 0.
-1, 0, 1
Let k(r) be the first derivative of r**4/6 + 4*r**3/3 + 3*r**2 + 12*r - 9. Let t(g) be the first derivative of k(g). Factor t(o).
2*(o + 1)*(o + 3)
Let q(l) be the third derivative of l**5/140 + l**4/21 + 2*l**3/21 - 196*l**2. Factor q(n).
(n + 2)*(3*n + 2)/7
Let y be ((-10 + 12)/2)/(3 - (-4)/(-6)). Factor 0 - 3/7*u + y*u**2.
3*u*(u - 1)/7
Let z(w) be the second derivative of 1/6*w**4 - 1/3*w**3 + 1/10*w**5 - 27*w - w**2 + 0. Solve z(b) = 0 for b.
-1, 1
Let w(n) be the second derivative of n**5/90 + 2*n**4/3 + 62*n - 1. What is t in w(t) = 0?
-36, 0
Let s(d) be the third derivative of d**7/210 + d**6/24 + d**5/10 - d**4/6 - 4*d**3/3 + 24*d**2. Solve s(a) = 0.
-2, 1
Factor 66*v**3 + 62*v**3 - 2*v**5 - v - 197*v**3 + v**5 + 71*v**3.
-v*(v - 1)**2*(v + 1)**2
Let r(x) be the first derivative of 2*x**5 + 13*x**4/2 - 4*x**3 - 20*x**2 + 16*x - 45. Factor r(i).
2*(i - 1)*(i + 2)**2*(5*i - 2)
Suppose -4*t + 11 = 3. Suppose 3*c = -t*c + 5. Solve -2*a + 2*a + c - 2*a**2 + 1 = 0.
-1, 1
Let c(h) = h. Let z(l) = 11*l**2 + 6*l - 15. Let n(q) = -5*q**2 - 3*q + 7. Let a(s) = -9*n(s) - 4*z(s). Let x(j) = -a(j) + 5*c(j). Factor x(p).
-(p - 3)*(p + 1)
Let g(c) = -c**2 + 1. Suppose -5*s + 3*k = -30, -2*s - 6*k + 12 = -k. Let h(t) = -8*t**2 - 2*t + 10. Let q(y) = s*g(y) - h(y). What is x in q(x) = 0?
-2, 1
Let b(o) be the first derivative of 0*o + 0*o**4 - 1/24*o**6 + 0*o**3 + 0*o**5 + 0*o**2 + 9. Factor b(n).
-n**5/4
Let c = 12 - 21. Let g(x) = -7*x**3 - 10*x**2 + 3*x + 6. Let u(h) = 15*h**3 + 21*h**2 - 6*h - 12. Let l(p) = c*g(p) - 4*u(p). Let l(w) = 0. What is w?
-2, -1, 1
Let z(y) = y**3 + y - 1. Let r(i) = -13*i**2 - 30*i**3 + 21 - 2*i - 4*i + 6*i**2 + 4*i**2. Let f(a) = -r(a) - 18*z(a). Let f(g) = 0. What is g?
-1, -1/4, 1
Suppose 3*r - 647 = 33*r - 767. Factor 0*l**3 + 3/2 + 3/2*l**r + 0*l - 3*l**2.
3*(l - 1)**2*(l + 1)**2/2
Let y = 86 - 86. Let u(q) = 3*q**2 + 3*q - 4. Let k be u(1). Factor 0*p + y + 1/5*p**k + 1/5*p**3.
p**2*(p + 1)/5
Let d be (-36)/(-45) - (-18)/(-10). Let j be (2/d)/(-2) - (-39)/15. Suppose -j*g**2 - 12/5*g**4 - 4/5*g + 0 - 26/5*g**3 = 0. What is g?
-1, -2/3, -1/2, 0
Let t(f) be the third derivative of 10*f**2 - 8/27*f**3 - 1/15*f**5 + 7/540*f**6 + 0 + 5/27*f**4 - 1/945*f**7 + 0*f. Solve t(s) = 0 for s.
1, 2
Let o = -81/140 - -7/12. Let s(j) be the third derivative of 0*j + 1/60*j**5 - 1/3*j**3 + o*j**7 + 10*j**2 + 0 - 1/40*j**6 