w**2 + 1/5*w**6. Let p(g) = 0. What is g?
-1, 1
Let n(m) be the second derivative of 0 - 14*m + 5/3*m**2 - 5/18*m**4 + 1/12*m**5 - 5/18*m**3. Factor n(z).
5*(z - 2)*(z - 1)*(z + 1)/3
Let t(g) = 6*g**3 + 102*g**2 - 4. Let j(l) = 7*l**3 + 104*l**2 - 5. Let r(a) = 4*j(a) - 5*t(a). Factor r(p).
-2*p**2*(p + 47)
Let d = -10 - -11. Let i(u) = -u**2 - 1. Let c(s) = s**2 + 6*s + 2. Let g(f) = d*c(f) + 2*i(f). Factor g(n).
-n*(n - 6)
Suppose 0 = 5*u - 3*v + 16, 0 = -5*u + 7*v - 2*v - 20. Let s be ((-1)/u + 1)*2. Determine o, given that -6 + 9*o + 3*o**s - 11*o - 7*o = 0.
-1, 2
Factor 176/9 - 178/9*b + 2/9*b**2.
2*(b - 88)*(b - 1)/9
Suppose -r - 2*w + 28 = 4*r, 5*r = 5*w. Factor 5/4*p**3 + 3/4*p + 7/4*p**2 + 0 + 1/4*p**r.
p*(p + 1)**2*(p + 3)/4
Let c(w) be the first derivative of 0*w + 1/13*w**2 - 15 - 2/39*w**3. Solve c(f) = 0.
0, 1
Let t(m) be the third derivative of m**8/336 + m**7/21 + 19*m**6/60 + 17*m**5/15 + 19*m**4/8 + 3*m**3 + 23*m**2 - 2*m. Factor t(z).
(z + 1)**2*(z + 2)*(z + 3)**2
Let v be -10*(14/217 - 35/62). Find b, given that 0*b**4 - 1/3*b**3 + 0*b**2 + 1/3*b**v + 0 + 0*b = 0.
-1, 0, 1
Let f(w) = 48*w - 1005. Let h be f(21). What is p in -5/2*p**h - 20*p - 40 + 35/2*p**2 = 0?
-1, 4
Let t be 35/26 - (-51)/(5967/18). Factor -t*z**3 - 1/2*z**4 + 0*z + 0 - z**2.
-z**2*(z + 1)*(z + 2)/2
Let g(v) be the first derivative of 0*v + 1/2*v**4 - 9 + 2/5*v**5 - 10/3*v**3 + 3*v**2. Solve g(h) = 0.
-3, 0, 1
Let a be 5 + -4 - -3 - 10. Let k be 2/a + (-34)/(-30). Factor 2/5*r**2 + 2/5*r - k.
2*(r - 1)*(r + 2)/5
Let s(y) be the first derivative of y**3 - 60*y**2 - 252*y + 108. Factor s(d).
3*(d - 42)*(d + 2)
What is i in -64/5 - 1/5*i**3 - 48/5*i + 3*i**2 = 0?
-1, 8
Let i(q) be the first derivative of q**3/9 + 43*q**2/6 - 455. Determine y, given that i(y) = 0.
-43, 0
Suppose -3*v + b + 28 = 0, -4 - 8 = 3*b. Find g such that -9*g + 0*g**2 - 3*g**2 + 4 + v = 0.
-4, 1
Let c(o) be the third derivative of o**5/30 - o**4/96 - 5*o**2 + 8. Let c(w) = 0. What is w?
0, 1/8
Solve -39/2*b**3 - 192 - 27*b**2 + 240*b - 3/2*b**4 = 0.
-8, 1, 2
Let s(c) = -3*c - 27. Let l be s(-14). Suppose t + l*t = 32. Factor 5/8*x**t + 7/8*x + 1/4.
(x + 1)*(5*x + 2)/8
Let 2*l**3 - 3/4*l**5 - 3/2*l**2 + l**4 - 5/4*l + 1/2 = 0. What is l?
-1, 1/3, 1, 2
Suppose 0 = 40*z + 109*z - 596. Factor 0 - 1/3*a**z - 2/3*a + 1/3*a**2 + 2/3*a**3.
-a*(a - 2)*(a - 1)*(a + 1)/3
Let f(p) be the third derivative of -p**8/672 + 4*p**7/105 - 73*p**6/240 + 3*p**5/20 + 27*p**4/4 + 18*p**3 - p**2 - 217*p. Solve f(a) = 0 for a.
-1, 6
Let q(k) = -k**2 - 1. Let i(z) = 4*z**2 + 2. Let g be -3 - (9 - (0 - 1))/(-2). Let f(l) = g*q(l) + i(l). Factor f(m).
2*m**2
Let x(u) be the first derivative of -u - 4 + 3/4*u**2 - 1/6*u**3. Factor x(l).
-(l - 2)*(l - 1)/2
Let v(a) = -a**2 + 2*a. Let z(g) = 2*g**3 + 2*g**2 - 2*g. Let b(h) = -4*v(h) + 2*z(h). Factor b(k).
4*k*(k - 1)*(k + 3)
Factor -1/4*f - 3/2 + 5/4*f**2.
(f + 1)*(5*f - 6)/4
Let p(c) = 6*c**2 + 2650*c + 287766. Let k(q) = 2*q**2 + 884*q + 95922. Let n(z) = -11*k(z) + 4*p(z). Factor n(d).
2*(d + 219)**2
Let v(q) = 4*q**4 - 12*q**3 - 14*q**2 + 28*q + 22. Let p(d) = d**2 + 1. Let n(j) = 2*p(j) + v(j). Factor n(i).
4*(i - 3)*(i - 2)*(i + 1)**2
Let v = -152 - -3649/24. Let x(y) be the second derivative of 2*y + 0 + 0*y**4 + v*y**3 + 1/168*y**7 + 0*y**2 + 0*y**6 - 1/40*y**5. Factor x(o).
o*(o - 1)**2*(o + 1)**2/4
Let d(o) be the second derivative of 2/3*o**4 + 0 + 27/10*o**5 - 4/3*o**3 + 1/3*o**7 + 26/15*o**6 - 3*o + 0*o**2. Solve d(f) = 0 for f.
-2, -1, 0, 2/7
Let g be 7 - (1 + 1 + 2). Suppose -8 = -4*f - 0*f. Factor g*a + a + 8*a**2 - 2 - f*a**2.
2*(a + 1)*(3*a - 1)
Suppose 3 = -4*n + 3*g, n - 2*n = 4*g - 23. Factor 3*l**5 - 5*l**3 + 3*l**3 - l**n + 3*l**4 - 3*l**2.
3*l**2*(l - 1)*(l + 1)**2
Let l(b) = 2*b**2 - 12*b - 28. Let s be l(10). Let q = s - 52. Determine o, given that -14/5*o**5 + 14/5*o**3 + q - 4/5*o**2 + 4/5*o**4 + 0*o = 0.
-1, 0, 2/7, 1
Let u = 15 + -15. Let o(s) be the third derivative of 0 + 0*s**4 + 1/150*s**6 + 3*s**2 + u*s**3 + 0*s + 0*s**5. Factor o(j).
4*j**3/5
Let z = -3 - -23. Suppose 0*b - 4*b = -4*v - 36, 2*b - v - z = 0. Factor -d**4 + 2*d**3 + 0*d**4 - 12*d**2 + b*d**2.
-d**2*(d - 1)**2
Let z(i) be the third derivative of -i**9/10080 + i**8/1344 - i**7/420 + i**6/240 + i**5/30 - 5*i**2. Let l(q) be the third derivative of z(q). Factor l(w).
-3*(w - 1)**2*(2*w - 1)
Let h(q) = q**3 + 6*q**2 + 3*q - 8. Let b be h(-5). Solve b*r**3 + 15*r**4 - 5*r**5 + 15*r + 0*r**2 - 5 - 12*r**3 - 4*r**2 - 6*r**2 = 0 for r.
-1, 1
Suppose -276 = 7*l + 900. Let t be ((-2)/(-6))/(l/(-126)). Factor -t*f**3 + 1/2*f**2 + 0 + 3/4*f.
-f*(f - 3)*(f + 1)/4
Let m(k) be the first derivative of -k**4/4 + 7*k**2/2 - 6*k + 97. Solve m(n) = 0 for n.
-3, 1, 2
Suppose -29*w + 32 = -33*w. Let u be (-12)/9*((-84)/w)/(-7). Solve -32/9*r + 34/9*r**u + 8/9 - 10/9*r**3 = 0.
2/5, 1, 2
Suppose -8*w + 15 = -3*w + 2*p, 10*p - 6 = -2*w. Suppose 0 + 0*s + 0*s**2 - 4/7*s**w = 0. Calculate s.
0
Let w(c) = 3*c. Let o(u) = u - 1. Let r(n) = -2*o(n) + w(n). Let b be r(2). Determine h, given that 4*h**4 + 0*h**4 - 5*h**b + 4*h**5 = 0.
0, 1/4
Suppose 12 = -4*v + 6*v. Suppose -4*m = 3*o - 8, -3*m + v = 4*o - 0. Factor -2*c**3 + 4*c**4 - 6*c - 2*c**m - 2*c**4 + 2*c**5 + 6*c.
2*c**2*(c - 1)*(c + 1)**2
Let m = 3198/7 + -456. Find v, given that m + 3/7*v**2 - 9/7*v = 0.
1, 2
Let a(h) = -h + 11. Let x be a(7). Suppose -x*f + 33 - 25 = 0. What is w in -14/5*w**f - 12/5 - 46/5*w = 0?
-3, -2/7
Suppose -2*u - 6 = 48. Let y = 33 + u. Factor 9/2*m**4 - y*m**3 + 3*m - 3/2*m**2 + 0.
3*m*(m - 1)**2*(3*m + 2)/2
Let r(u) be the second derivative of u**9/40320 + 3*u**8/17920 + 11*u**4/12 + 11*u. Let t(w) be the third derivative of r(w). Factor t(v).
3*v**3*(v + 3)/8
Suppose 5*l = -25, 2*z + 0*l + 3*l = 71. What is h in 4 + 24*h**2 + 20*h + 22*h**3 + 33*h**3 - z*h**3 + 4*h**2 = 0?
-1, -1/3
Let q be ((-414)/(-69) - 34/6)*(-2 + 2). Determine r, given that q + 1/6*r**2 - 1/3*r = 0.
0, 2
Let v = -47 - -142/3. Factor 2/3*c**3 - c**4 + 0 + 0*c + 0*c**2 + v*c**5.
c**3*(c - 2)*(c - 1)/3
Suppose 0 = 3*b + b - 112. Suppose b = -i + 5*i. Factor 0*d**2 + 8*d**2 - 3*d + 1 + d**2 - i.
3*(d - 1)*(3*d + 2)
Let u(o) be the first derivative of -7 - 6/17*o - 2/51*o**3 - 4/17*o**2. What is w in u(w) = 0?
-3, -1
Suppose -25*y + 2*o = -22*y - 16, -5*o = 3*y - 23. Let s(l) be the first derivative of 6/5*l**5 - 2 - 1/2*l**y + 0*l**2 + 0*l + 0*l**3 - 3/4*l**4. Factor s(c).
-3*c**3*(c - 1)**2
Let v(x) be the first derivative of x**6/3 - 2*x**4 + 4*x**3/3 + 3*x**2 - 4*x + 44. Factor v(y).
2*(y - 1)**3*(y + 1)*(y + 2)
Suppose -267*i + 378 = -253*i. Suppose -163/4*k**3 - i*k**5 + 135/4*k**2 - 3/2 + 7/4*k - 393/4*k**4 = 0. Calculate k.
-3, -1, -2/9, 1/4, 1/3
Let p(d) be the first derivative of d**6/30 - 2*d**5/25 - 3*d**4/20 - 101. Factor p(f).
f**3*(f - 3)*(f + 1)/5
Let p(h) = -26*h**3 - 250*h**2 - 238*h - 7. Let x(r) = 18*r**3 + 166*r**2 + 158*r + 5. Let l(k) = -5*p(k) - 7*x(k). Determine d so that l(d) = 0.
-21, -1, 0
Let b(q) be the second derivative of 3*q**4/2 - 299*q**3/9 + 22*q**2/3 - 649*q. What is x in b(x) = 0?
2/27, 11
Let g(y) = 2*y**4 - 2*y**3 + 2*y**2 - y. Let q(d) = 13*d**4 - 25*d**3 - 26*d**2 - 55*d. Let f(n) = -21*g(n) + 3*q(n). Solve f(i) = 0.
-4, -3, 0
What is l in 13*l**4 - 8*l**4 + 10*l + 66*l**2 - 81*l**2 = 0?
-2, 0, 1
Let i(n) be the first derivative of 19/4*n**2 + 49/48*n**6 + 20 - n - 127/12*n**3 + 361/32*n**4 - 28/5*n**5. What is h in i(h) = 0?
2/7, 1, 2
Let h(d) be the second derivative of d**4/6 + 25*d**3/3 - 54*d**2 - 2*d + 90. Factor h(o).
2*(o - 2)*(o + 27)
Let k(q) be the first derivative of 27*q**5/80 - 7*q**4/16 - q**3/4 + 33*q + 40. Let c(j) be the first derivative of k(j). Solve c(w) = 0 for w.
-2/9, 0, 1
Let j be 1682/2233 - (-2)/(-11). Suppose -j*z**2 + 0*z + 16/7 = 0. Calculate z.
-2, 2
Let h(w) be the first derivative of -w**5/5 + w**4/2 + 44. Factor h(f).
-f**3*(f - 2)
Let m = 40 - 37. Let s(o) be the second derivative of -1/4*o**2 - 1/24*o**4 + 6*o - 5/24*o**m + 0. Factor s(y).
-(y + 2)*(2*y + 1)/4
Let -2704 - 1/4*f**2 + 52*f = 0. What is f?
104
Let c(y) = 8*y - 5*y**2 - 4*y**2 - 9*y**2 + 10*y**2. Let b = -13 + 9. Let h(l) = 3*l**2 - 3*l. Let o(x) = b*c(x) - 11*h(x). Factor o(z).
-z*(z - 1)
Factor -