*2 + 119*b**2 - 4*b + 0*b**3 - 242*b**2. Let z(f) = -4*f**3 - 3*f**2 + 3*f. Let u(h) = 3*r(h) + 4*z(h). Factor u(y).
-y**2*(y + 6)
Let p be ((-7)/(-126)*9)/(3/12). Suppose 2/3*q**p + 0 - 4/21*q = 0. Calculate q.
0, 2/7
Suppose 2*t - 69 = 3*p, 0 = -p - 0*p - t - 18. Let f = -21 - p. Factor 0 + 1/7*y**5 + 2/7*y**2 + f*y**3 - 1/7*y - 2/7*y**4.
y*(y - 1)**3*(y + 1)/7
Let g(p) = -p**2 + 3*p + 3. Let z be g(3). Factor 2*r**5 - 7*r + 8*r**z + 10*r**4 + 7*r.
2*r**3*(r + 1)*(r + 4)
Suppose -3*b - 2*f = -15, -14*b = -15*b + f. Suppose -2*s = -3*s + b. Determine c so that 0*c + 0*c**2 + 2/5*c**s - 4/5*c**4 + 2/5*c**5 + 0 = 0.
0, 1
Let w = -619 + 7429/12. Let k(i) be the second derivative of 2/3*i**3 + 2*i**2 + w*i**4 + 0 + 5*i. Factor k(n).
(n + 2)**2
Factor -3/5*c**4 - 81/5 - 108/5*c**2 - 6*c**3 - 162/5*c.
-3*(c + 1)*(c + 3)**3/5
Let i(m) = 34*m**4 - 24*m**3 + 62*m**2 + 18*m + 18. Let n(y) = 2*y**4 + y**3 + y**2 + y + 1. Let t(u) = -2*i(u) + 36*n(u). Factor t(d).
4*d**2*(d - 1)*(d + 22)
Suppose 0 = 14*t + 9*t - 6*t + 16*t. Determine x, given that 2/5*x**3 + 0 + 0*x**2 + 4/5*x**4 + t*x + 2/5*x**5 = 0.
-1, 0
Let h(k) be the first derivative of -k**5/10 - k**4/2 - 11*k - 3. Let z(l) be the first derivative of h(l). Factor z(x).
-2*x**2*(x + 3)
Let p be (-25)/30 + (-2)/15*4650/(-360). Find u, given that -2/3*u - p + 2/9*u**2 = 0.
-1, 4
Let n be ((2 - 3)/1)/(6/(-18)). Solve 4*z**3 - 12*z - 18*z**2 + 50 - 2*z**n - 4*z**3 - 18*z = 0 for z.
-5, 1
Let d(h) be the second derivative of 3*h + 1/4*h**3 + 0 + 1/4*h**2 + 1/40*h**5 + 1/8*h**4. Factor d(m).
(m + 1)**3/2
Let r(g) be the third derivative of g**6/600 - g**5/50 + 23*g**3/3 - 45*g**2. Let z(l) be the first derivative of r(l). Determine s so that z(s) = 0.
0, 4
Let l(n) be the second derivative of -n**3/3 - 6*n**2 - 85*n. Let f be l(-6). Suppose f*b + 1/4 - 1/4*b**2 = 0. Calculate b.
-1, 1
Suppose 74/3 - 50/3*d**3 - 742/3*d + 1870/3*d**2 = 0. Calculate d.
1/5, 37
Factor 1 - 21*f + 16691*f**2 - 16634*f**2 - 36*f**3 + 18*f**4 - 19*f**3.
(f - 1)**3*(18*f - 1)
Let z be 168/48*(-4)/(-63). Let m(c) be the first derivative of -2/45*c**5 + 0*c**2 - z*c + 4/27*c**3 + 0*c**4 - 6. Find t such that m(t) = 0.
-1, 1
Let q(w) be the third derivative of 0 + 1/10*w**3 - 1/200*w**6 + 0*w + 1/40*w**4 - 39*w**2 - 1/100*w**5. Let q(f) = 0. What is f?
-1, 1
Let h(u) = -16*u**2 - 100*u + 92. Let x(y) = -3*y**2 - 2*y + 1. Let f(g) = -h(g) + 6*x(g). Factor f(i).
-2*(i - 43)*(i - 1)
Let j(m) be the first derivative of 8 - 2/35*m**5 + 1/14*m**2 + 0*m**4 + 2/21*m**3 - 1/42*m**6 + 0*m. Factor j(n).
-n*(n - 1)*(n + 1)**3/7
Let i = -7260 + 7260. What is r in i*r**2 - 8/17*r + 6/17*r**3 - 2/17*r**4 + 0 = 0?
-1, 0, 2
Let o(t) = -11*t**2 - 21 + 19*t**2 - 2*t**2 - 10*t - 7*t**2. Let w be o(-4). Factor 1/3*f**5 - 1/3*f**w - 1/3*f**2 + 1/3*f**4 + 0*f + 0.
f**2*(f - 1)*(f + 1)**2/3
Suppose 13/3*n + 4/3 + n**2 = 0. What is n?
-4, -1/3
Let a(f) = -20*f**2 + 111*f - 91. Let r(b) = 23 - 28*b + 4*b**2 + 11*b**2 + 0 - 10*b**2. Let d(y) = 2*a(y) + 9*r(y). Factor d(g).
5*(g - 5)*(g - 1)
Let s(z) = -z**3 - 3*z**2 + 3*z - 1. Let v be s(-4). Let w be v + (-2 - (-1)/1). Factor 14/3*b - w*b**2 - 4/3.
-2*(b - 2)*(3*b - 1)/3
Let n = -522 - -31321/60. Let g(t) be the third derivative of n*t**5 + 0 + 4*t**2 + 0*t + 1/2*t**3 - 1/6*t**4. Factor g(q).
(q - 3)*(q - 1)
Let g(t) be the third derivative of 0*t**5 + 0*t**4 + 0*t - 1/660*t**6 + 1/1155*t**7 + 0 + 13*t**2 + 0*t**3. Factor g(s).
2*s**3*(s - 1)/11
Let t(j) = -2*j**3 + 24*j**2 - 18*j + 21. Let a be t(11). Let n = 69 - a. Factor -4/3*f + 8/3*f**n + 4/3*f**5 - 8/3*f**2 + 0 + 0*f**3.
4*f*(f - 1)*(f + 1)**3/3
Determine j so that 82188*j + 31*j**3 - 12*j**3 + 720*j**2 - 24588*j - 13*j**3 - 3*j**3 + 1536000 = 0.
-80
Determine t, given that -33/4*t**2 + 27/4*t + 3/2 = 0.
-2/11, 1
Let g = -39 + 12. Let y be 0 + (-2 - 66/g). Let -y + 8/9*b**2 - 2/9*b**5 - 2/9*b + 4/9*b**3 - 4/9*b**4 = 0. What is b?
-2, -1, 1
Suppose -3*m = -5*c - 11, 5*m - 5*c = 2 + 3. Let v(b) = -b**2 - b. Let p(r) = -8*r**2 - r - 9. Let o(k) = m*p(k) + 21*v(k). Factor o(x).
3*(x - 3)**2
Let o(u) be the first derivative of 4*u**3/15 + 28*u**2/5 + 196*u/5 - 14. Factor o(j).
4*(j + 7)**2/5
Let o be (1 - -1)*33/22. Let p be (-3)/12 - 51/(-12). Determine x, given that -16/5*x**p + 42/5*x**2 + 26/5*x + 4/5*x**o + 4/5 = 0.
-1, -1/2, -1/4, 2
Let s be (-341)/(-660) - 2/5. Let y(b) be the third derivative of 0 + 2/3*b**4 + 3*b**2 + 0*b - 2/3*b**3 - s*b**5. Determine r, given that y(r) = 0.
2/7, 2
Let t(q) = q**2 - 2*q + 3. Let b(k) = -2*k**2 + 3*k - 5. Let f(y) = -3*b(y) - 5*t(y). Let m(n) = 8*n**2 - 4*n - 12. Let x(a) = -10*f(a) + m(a). Factor x(h).
-2*(h + 1)*(h + 6)
Suppose 19*z = -8*z + 108. Let a(u) be the first derivative of 3/2*u**2 + 6*u - u**3 + z. Factor a(t).
-3*(t - 2)*(t + 1)
Let 6*v**3 - 2/3*v**4 + 26/3*v**2 - 16/3*v - 8 - 2/3*v**5 = 0. What is v?
-2, -1, 1, 3
Let n(k) be the first derivative of 686*k**5/55 - 196*k**4/11 - 336*k**3/11 - 160*k**2/11 - 32*k/11 + 49. Factor n(w).
2*(w - 2)*(7*w + 2)**3/11
Let j(d) be the first derivative of 15 + 1/2*d - 1/8*d**2 - 1/12*d**3. Factor j(v).
-(v - 1)*(v + 2)/4
Let s(v) = -4*v - 9. Let w be s(-9). Suppose 9 = 3*o - h, -5*o - 4 = h - w. Determine q so that 0 - 1/6*q + 1/6*q**o + 1/2*q**2 - 1/2*q**3 = 0.
0, 1
Let l = 763 - 1441/2. Let n = l - 42. Suppose -2*v + n*v**2 + 2 = 0. Calculate v.
2
Factor 0 + 1/8*r**5 + 6591/8*r - 21/4*r**4 + 78*r**3 - 1859/4*r**2.
r*(r - 13)**3*(r - 3)/8
Let 6/5 + 32*b**2 - 5*b**3 - 61/5*b = 0. What is b?
1/5, 6
Let b(t) = -t - 29. Let k be b(-14). Let v be (60/(-9))/(-4)*(-6)/k. Let 0 - 2/3*j**2 - v*j = 0. Calculate j.
-1, 0
Let r(j) be the second derivative of 0*j**3 + 0 + 1/195*j**6 - 18*j - 4/65*j**5 + 7/78*j**4 + 0*j**2. Factor r(f).
2*f**2*(f - 7)*(f - 1)/13
Let x(k) = -132*k - 128. Let t(i) = i**2 - 131*i - 127. Let b(m) = -4*t(m) + 5*x(m). Factor b(q).
-4*(q + 1)*(q + 33)
Let l(k) be the first derivative of -k**3 - 27*k**2/2 - 42*k - 251. Solve l(n) = 0.
-7, -2
Let o(n) = -6*n**5 - 9*n**4 + 9*n**2 + 6*n - 3. Let l(g) = -7*g**5 - 10*g**4 + 10*g**2 + 7*g - 4. Let d(a) = 3*l(a) - 4*o(a). Let d(z) = 0. Calculate z.
-1, 0, 1
Factor 2/9*u**3 + 22/9 + 46/9*u + 26/9*u**2.
2*(u + 1)**2*(u + 11)/9
Let q be (-5)/2*(-36)/5. Suppose 13*d = q*d - 30. Determine n, given that -12 + n**4 + 6 + d = 0.
0
Suppose 3*p - 2*p = -4*r + 8, -5*r = 3*p - 3. Solve 4/13*k**r + 0 + 2/13*k**2 - 4/13*k - 2/13*k**4 = 0.
-1, 0, 1, 2
Suppose -19*l + 89 - 13 = 0. Find k, given that -2 + 2/3*k**l - 16/3*k + 0*k**3 - 4*k**2 = 0.
-1, 3
Suppose 3*s - 9 = 9. Suppose -4*v - 5*m + 3 + 4 = 0, 0 = 4*v + 3*m - 17. Suppose -s*l - l - 33*l + 50*l**2 + v = 0. Calculate l.
2/5
Let h(x) = x**3 + 8*x**2 + 2. Let r = -17 - -9. Let y be h(r). Solve 1/3*a**y + 1/3*a + 0 = 0.
-1, 0
Let x(i) = -i**2 - 3*i + 4. Let y(t) be the third derivative of -t**5/60 - t**4/6 + 2*t**3/3 + 33*t**2. Let m(j) = -4*x(j) + 3*y(j). Factor m(p).
(p - 2)*(p + 2)
Let i(r) be the second derivative of -r**8/2240 + r**7/420 - r**6/240 + 2*r**4/3 - 10*r. Let x(n) be the third derivative of i(n). What is f in x(f) = 0?
0, 1
Let s(b) = 13*b**2 + 12*b - 20. Let z(q) = 10*q**2 + 11*q - 20. Let x(c) = 3*s(c) - 4*z(c). Determine j, given that x(j) = 0.
-10, 2
Let b(j) = j + 10. Let x be b(-8). Suppose x*w + 4 = 3*w. Suppose 3*q**3 - q**5 + 15*q - 6*q - 7*q + 5*q**2 - q**w = 0. Calculate q.
-1, 0, 2
Suppose 11*l + l = -24. Let v = 1 - l. Factor -4/7*y**v - 2/7*y**2 + 2/7*y**4 + 4/7*y + 0.
2*y*(y - 2)*(y - 1)*(y + 1)/7
Let d(c) be the second derivative of c**5/20 - c**4/2 + 3*c**3/2 - 2*c**2 - 41*c. Find z, given that d(z) = 0.
1, 4
Let p(t) be the second derivative of -t**5/180 - t**4/36 - t**3/18 - 13*t**2 - 6*t. Let d(c) be the first derivative of p(c). Factor d(l).
-(l + 1)**2/3
Factor -2/15*r**4 + 12/5*r + 2/5*r**2 + 0 - 8/15*r**3.
-2*r*(r - 2)*(r + 3)**2/15
Let g(i) = i**2 + 17*i - 21. Let t be g(-20). Let y be 4 - 1/(12/t). What is a in -3/4*a**2 + y*a + 0 = 0?
0, 1
Let b(j) = 7*j**2 + 8*j + 11. Let y(x) = 4*x**2 + 4*x + 6. Suppose 0 = -4*z + 9*z + 15. Let i(k) = z*b(k) + 5*y(k). Factor i(m).
-(m + 1)*(m + 3)
Let l = -2/1797 - -12380/599. Let g = l + -18. Factor -g*f**2 + 20/9*f - 2/3 + 4/3*f**3 - 2/9*f**4.
-2*(f - 3)*(f - 1)**3/9
Let m(i) be the s