v - k - 2 + 5 = 0.
-3, -1
Suppose 3 = -4*k - 0*u + u, 5*k - 2*u = 0. Let v be -1 + k + 31/9. Determine x so that 0 + 2*x**2 + v*x + 20/9*x**3 = 0.
-1/2, -2/5, 0
Let z(f) = f**4 - 4*f**3 + 4*f**2 - f. Let k(y) = -6*y**3 - 4*y**3 - 2*y - 7*y**2 + 13*y**2 + 2*y**4 + 4*y**3. Let c(p) = 5*k(p) - 8*z(p). Factor c(u).
2*u*(u - 1)*(u + 1)**2
Let p = 223 + -219. Let n(k) be the second derivative of 0 + 2/3*k**3 + 1/2*k**p - 8*k + 0*k**5 - 1/15*k**6 + 0*k**2. Factor n(g).
-2*g*(g - 2)*(g + 1)**2
Let i = 93/8 + -81/8. Factor 1/2 + i*x + 3/2*x**2 + 1/2*x**3.
(x + 1)**3/2
Suppose -2019 + 1895 = -62*o. Determine t, given that 5 + 25/6*t - 20/3*t**o - 5/2*t**3 = 0.
-3, -2/3, 1
Let v(q) be the first derivative of 36/7*q + 256/21*q**3 - 22 - 96/7*q**2. Factor v(r).
4*(8*r - 3)**2/7
Let d(g) be the second derivative of 37*g - 3/5*g**5 - 1/10*g**6 - 3/2*g**2 - 2*g**3 + 0 - 3/2*g**4. Solve d(t) = 0 for t.
-1
Let c(s) be the first derivative of -15*s**3 - 3/4*s**4 - 147*s - 189/2*s**2 - 1. Factor c(m).
-3*(m + 1)*(m + 7)**2
Let k(d) = d**3 - 4*d**2 - 3*d + 8. Let l(i) = -3*i**3 + 12*i**2 + 11*i - 25. Let u(p) = -7*k(p) - 2*l(p). What is o in u(o) = 0?
-1, 2, 3
Let s = 6471/7231 - 39/1033. Factor 1/7*p**3 + 0 + 5/7*p**2 + s*p.
p*(p + 2)*(p + 3)/7
Let h(d) = -66*d + 13. Let t be h(0). Let y(b) be the first derivative of -22/3*b**3 + 13*b**2 - 4*b - t. Factor y(r).
-2*(r - 1)*(11*r - 2)
Let r = 4 - 0. Let f = 50 - 47. Factor -d**2 - 7*d**2 - r + 0 + 10*d + 2*d**f.
2*(d - 2)*(d - 1)**2
Let j = -3965/33 - -1329/11. Factor -8/3*n**2 + 0*n - j*n**4 - 8/3*n**3 + 0.
-2*n**2*(n + 2)**2/3
Let h be (2 + -4)/((-2)/3). Let a(r) = 2*r**2 + 3*r + 4. Let m be a(h). Factor -3*f**2 + 31*f - f**3 - m*f.
-f**2*(f + 3)
Let m(v) = -4*v - 3. Let y be m(-7). Solve 21*x**4 - y*x**5 + 14*x**4 - 20*x**2 - 15*x**4 - 3*x**5 - 8*x + 36*x**3 = 0 for x.
-1, -2/7, 0, 1
Let r(b) be the first derivative of -b**5/90 - b**4/3 - 4*b**3 - 13*b**2/2 - 17. Let x(i) be the second derivative of r(i). Factor x(j).
-2*(j + 6)**2/3
Let d(n) = 3*n - 42. Let b be d(19). Suppose -2*i = 5*h - 20, -b*i + 11*i + 16 = -2*h. Factor -3/5*m**h + 0*m - 6/5*m**3 + 0.
-3*m**2*(2*m + 1)/5
Suppose 5*u = 5*p + 20, -3 = -3*p - 0. Suppose 6*w + w + u + 7*w + 1 + 10*w**2 + 2*w**3 = 0. What is w?
-3, -1
Let b(x) be the third derivative of -x**7/105 + x**6/120 + 11*x**5/60 + 11*x**4/24 + x**3/2 + 4*x**2. Factor b(s).
-(s - 3)*(s + 1)**2*(2*s + 1)
Factor -2*l**4 - 22333*l**2 + 2*l**3 + 22333*l**2 + 0*l**3 + 0*l**3.
-2*l**3*(l - 1)
Let c = -3301 + 3303. Factor -8/5*q + 2/5*q**c + 8/5.
2*(q - 2)**2/5
Let x = 44 + -40. Let h(f) = 2*f**5 - 2*f**4 - 2*f**3 - 2*f**2. Let c(q) = -3*q**5 + 2*q**4 + 3*q**3 + 3*q**2. Let d(v) = x*c(v) + 5*h(v). Factor d(a).
-2*a**2*(a - 1)*(a + 1)**2
Let r(z) = z**3 - 2. Let n(x) = 4*x**4 + 22*x**3 + 24*x**2 + 16*x - 8. Let f(h) = -n(h) + 6*r(h). Factor f(a).
-4*(a + 1)**4
Let p(t) be the second derivative of -1/14*t**7 - 1/30*t**6 - 1/2*t**2 + 1/6*t**4 + 0 + 11*t + 3/10*t**5 - 1/2*t**3. Determine k so that p(k) = 0.
-1, -1/3, 1
Let b(t) = 3*t**2 - 12*t - 11. Suppose -2*v + 4*r = -8, 0 = -3*v - 2*r - 6 - 6. Let o(m) = 7*m**2 - 26*m - 23. Let l(s) = v*o(s) + 5*b(s). Factor l(x).
(x - 9)*(x + 1)
Suppose -15*d - 97 = -97. Let s(f) be the first derivative of -1/39*f**6 - 1/26*f**4 + 4/65*f**5 + 0*f**2 + d*f + 0*f**3 + 2. Factor s(v).
-2*v**3*(v - 1)**2/13
Let d(n) = 17*n**2 + 50*n + 629. Let u(f) = -4*f**2 - 1. Let x(c) = d(c) + 4*u(c). Let x(h) = 0. Calculate h.
-25
Let l(y) = -y**2 - 5*y + 2. Let t(a) = -6*a**2 - 26*a + 11. Let n(z) = -11*l(z) + 2*t(z). Factor n(d).
-d*(d - 3)
Let p(f) be the first derivative of f**6/2 + 9*f**5/5 - 9*f**4/4 - 11*f**3 - 9*f**2 + 273. Let p(v) = 0. What is v?
-3, -1, 0, 2
Factor -6/7 - 81/7*f + 81/7*f**3 + 6/7*f**2.
3*(f - 1)*(f + 1)*(27*f + 2)/7
Let h = 7967 - 7965. Factor 6/7*g**4 - 3/7*g + 3/7*g**5 + 0 + 0*g**3 - 6/7*g**h.
3*g*(g - 1)*(g + 1)**3/7
Let g be (381/190 + -2)/((-2)/8). Let m = g + 103/380. Solve 0 - 1/2*r - m*r**2 = 0 for r.
-2, 0
Let k be 2*(-1 + (-10)/(-4)). Suppose -3 - 1 = -3*g - n, 0 = 4*g - k*n - 14. Solve 2/11 - 6/11*r**3 + 6/11*r - 2/11*r**g = 0 for r.
-1, -1/3, 1
Suppose -4*q - 3*m = -3*q - 5, 15 = 3*q - m. Factor -6*u**2 + 0*u**2 + u**2 + 14 - 5*u + q*u**3 - 9.
5*(u - 1)**2*(u + 1)
Let j = 106 - 100. Let b be ((1 - -35)/j)/8. Find s, given that -9/4*s**4 + 0 + 9/4*s**2 - 3/4*s**3 + 3/2*s - b*s**5 = 0.
-2, -1, 0, 1
Let c be (-33)/(-9)*-3*-1. What is l in 22 + 1 + 12*l - 2*l - 2*l**2 - c = 0?
-1, 6
Let o be 2/10 + 44/5. Suppose 4*l - 13 = -5*v, 0 = -7*l + 2*l + v + o. Factor 0*j**3 - 9*j**l + 5*j**3 - 2*j**3 + 6*j.
3*j*(j - 2)*(j - 1)
Suppose 4*f = f - 2*q + 2, 5*f + 4*q - 2 = 0. Let -19*r**3 - 21*r**2 + 4*r**3 + 27*r**f - 3*r**4 - 18*r**4 = 0. What is r?
-1, 0, 2/7
Let c(m) = -10*m**4 + 153*m**3 - 866*m**2 + 1913*m - 1447. Let w(k) = 5*k**4 - 76*k**3 + 432*k**2 - 956*k + 724. Let r(y) = 4*c(y) + 7*w(y). Factor r(g).
-5*(g - 6)**2*(g - 2)**2
Suppose 0 = 2*j + 3*z + 17, 7 + 2 = -3*z. Let q = j - -8. What is y in -2*y + y**2 - 4*y**2 + q*y + 2*y**2 = 0?
0, 2
Suppose -8 = -7*c + 27. Suppose -4*q - 26 = -0*p - c*p, -p - 10 = 3*q. Factor 9/2*y - 3/2*y**p + 0.
-3*y*(y - 3)/2
Suppose 24 = 5*s - s. Let d(a) be the third derivative of 0 - 7/135*a**s + 0*a**3 + 0*a**4 + 0*a - 7/135*a**7 - 2/135*a**5 - 4*a**2. Factor d(h).
-2*h**2*(7*h + 2)**2/9
Let v be ((-12)/702)/((-2)/6). Let p = 28/39 - v. Find j, given that -1/3*j + p*j**2 + 1/3*j**3 - 2/3 = 0.
-2, -1, 1
Factor -25/4*y**3 - 1/4*y**4 - 189/4*y**2 + 729/2 - 243/4*y.
-(y - 2)*(y + 9)**3/4
Let y(i) be the first derivative of 1/3*i**3 + 1/4*i**4 - 1/2*i**2 - i - 9. Factor y(c).
(c - 1)*(c + 1)**2
Let s(c) = 17*c**2 - 53*c - 22. Let k(j) = 36*j**2 - 106*j - 48. Let p(g) = -4*k(g) + 9*s(g). Suppose p(w) = 0. Calculate w.
-1/9, 6
Let n be (1 - 34/6)/((-25)/900). Let j be -3 + 24/7 + (-44)/n. Determine l so that j*l - 1/3*l**2 + 1/6*l**3 + 0 = 0.
0, 1
Factor -28/13*p + 14/13*p**2 + 16/13 - 2/13*p**3.
-2*(p - 4)*(p - 2)*(p - 1)/13
Let k be (9/(-6) + 0)*74/36. Let m = k - -13/3. Factor -7/4*w**2 + m*w**3 + 1/2*w + 0.
w*(w - 1)*(5*w - 2)/4
Let z be 725/(-290) - 11/(-2). Let -1/2*b**2 - 1/4*b**z - 1/4*b + 0 = 0. Calculate b.
-1, 0
Let v(x) be the second derivative of x**6/70 + 2*x**5/35 + x**4/28 - x**3/21 + 72*x. Factor v(w).
w*(w + 1)*(w + 2)*(3*w - 1)/7
Suppose 2*p + 2*u - 306 = 0, -2*p - u + 302 = 2*u. Suppose 3*o - 249 = -5*l, -2*o - p = -3*l - 0*o. Solve -l*z**2 + 51*z**2 + 8*z - 8*z**3 - 6 + 2 + 4*z**4 = 0.
-1, 1
Let t(v) be the first derivative of 0*v + 15/8*v**4 + 10/3*v**3 - 1/2*v**5 + 0*v**2 - 21. Let t(k) = 0. Calculate k.
-1, 0, 4
Let n be 3 - 5 - (-8 - (0 - -1)). Solve -4*y**2 + 2 - y**3 + 2*y**4 - 6*y**3 + n*y**3 = 0 for y.
-1, 1
Let q = 9 + -6. Suppose -4*k - 5*p - 2 = -8*k, 2*p = q*k - 5. Determine i, given that 114*i + 1 - 4*i**3 - 4*i**2 - 110*i + k = 0.
-1, 1
Suppose 2*b = 28 - 0. Let g(x) = -x**2 + 13*x + 16. Let h be g(b). Factor -2*v**3 - 6*v**h + 4*v**2 - 5*v + 7*v + 2.
-2*(v - 1)*(v + 1)**2
Let r(o) be the first derivative of 1/20*o**4 + 2 + 0*o - 1/5*o**3 + 1/5*o**2. Solve r(i) = 0 for i.
0, 1, 2
Suppose -2*r + 12 = -3*a, -5*r + 2*a = -21 + 2. Suppose -l**3 + 74*l + l**r - 8*l**3 - l**5 - 6*l**2 + 6*l**4 - 65*l = 0. Calculate l.
-1, 0, 1, 3
Let h(g) be the second derivative of -1/3*g**6 + 4/3*g**3 + 0*g**2 + 0 + 17/10*g**5 + 22*g - 8/3*g**4. Factor h(z).
-2*z*(z - 2)*(z - 1)*(5*z - 2)
Let y(u) = u**3 + 15*u**2 - 26*u + 8. Let l(q) = q**3 - 2*q + 2. Let z(x) = 4*l(x) - y(x). Find p such that z(p) = 0.
0, 2, 3
Let q(i) be the third derivative of -i**6/24 + 14*i**5/9 + 95*i**4/72 - 3*i**2 + 4*i. Suppose q(t) = 0. Calculate t.
-1/3, 0, 19
Factor 0 - 726/7*a**3 - 3543122/7*a + 87846/7*a**2 + 2/7*a**4.
2*a*(a - 121)**3/7
Let a be (-5)/((-2)/8 + 0). Let o(d) = 1. Let g(z) = -z**2 + 2*z - 5. Let h(v) = a*o(v) + 5*g(v). Determine q so that h(q) = 0.
1
Let f = 5 - 23. Let c = f - -20. Find t, given that -4 + 4*t**2 - 5*t**c + 5*t**2 - 4*t + 4*t**3 = 0.
-1, 1
Let z = 38168/9 + -4236. Let u = -41/9 + z. Factor -u*y**4 + 5/3*y + 2/3 - 1/3*y**3 + y**2.
-(y - 2)*(y + 1)**3/3
Let b = -1827 - -1830. Let 1/2*k**b - 3/2*k**4 - k + 0 + 1/2*k**5 + 3/2*k**2 = 0. What is k?
-1, 0, 1, 2
Let u(d) = d**3 - 59*d**2 - 10