 15*k + 2. Let x be b(-14). Let t be 2/x + 175/42. Suppose -3*d - d**2 + t*d**2 + 2*d**2 - 2*d**2 = 0. Calculate d.
0, 1
Let y(b) be the third derivative of 0 + 0*b**3 - 1/210*b**5 + 0*b + 9*b**2 - 1/28*b**4. Factor y(f).
-2*f*(f + 3)/7
Let f(z) = -50*z**3 + 5*z - 305*z**2 + 12*z + 18*z. Let u(k) = 3*k**3 + 18*k**2 - 2*k. Let d(q) = -2*f(q) - 35*u(q). Factor d(x).
-5*x**2*(x + 4)
Let x = 18 + 180. Let c = x + -106. Factor c*n**4 + 80*n - 8*n - 8 - 44*n**3 + 70*n**4 - 154*n**2 - 28*n**3.
2*(n - 1)*(n + 1)*(9*n - 2)**2
Suppose 11*q = 2 - 2. Let t be -4 - (q + 168/(-30)). Factor -24/5*n - 2/5*n**4 - t - 12/5*n**3 - 26/5*n**2.
-2*(n + 1)**2*(n + 2)**2/5
Solve -21/5*f**3 + 27/5*f**2 - 9/5*f**4 + 42/5 + 81/5*f = 0.
-7/3, -1, 2
Let t(h) be the first derivative of 2*h**3/27 + 130*h**2/9 + 8450*h/9 + 162. Let t(s) = 0. Calculate s.
-65
Let j be 108/90 - (-2)/(40/(-14)). Factor -j*n**2 - 3 - 5/2*n.
-(n + 2)*(n + 3)/2
Let t = 19 + -16. Suppose 4*c - f - 12 = -3, c + 5*f = -t. Factor -2/11*u - 2/11*u**c + 0.
-2*u*(u + 1)/11
Let s(h) be the first derivative of -3*h**4/4 - 16*h**3 - 96*h**2 + 12. Determine d, given that s(d) = 0.
-8, 0
Let t(m) be the first derivative of m**6/1260 - m**5/35 - 15*m**2 + 29. Let p(f) be the second derivative of t(f). Factor p(y).
2*y**2*(y - 18)/21
Solve -5*j**4 - 2*j**5 + 15*j - 5*j**3 - 9*j + 5*j**2 - 1 + j**5 + 1 = 0 for j.
-3, -2, -1, 0, 1
Let u = 3/8683 - -26034/43415. Determine z so that 0 + u*z**3 + 0*z**2 + 0*z + 3/5*z**5 + 6/5*z**4 = 0.
-1, 0
Let x(m) = m**2 - 2*m. Let g(h) = 10*h**2 + 7*h + 11. Let d(t) = -3*g(t) + 24*x(t). Solve d(p) = 0 for p.
-11, -1/2
Suppose -4*o + 8 = -2*p, -o + 0 = 4*p - 2. Suppose -o*x = 3*g, -8 = 4*g - 0. Factor -2/11*h**4 - 2/11 + 4/11*h**2 + 0*h**x + 0*h.
-2*(h - 1)**2*(h + 1)**2/11
Let f(c) be the first derivative of 0*c**2 - 1/6*c**4 + 0*c**3 + 10 + 1/5*c**5 - 1/15*c**6 + 5*c. Let r(x) be the first derivative of f(x). Factor r(o).
-2*o**2*(o - 1)**2
Let x be -1 - (260/45 + 5). Let c = -839/72 - x. Solve -1/4*t + c - 1/8*t**4 + 0*t**2 + 1/4*t**3 = 0 for t.
-1, 1
Let k(v) be the third derivative of 1/75*v**6 - 1/60*v**5 + 0*v**3 + 1/350*v**7 + 0*v + 0 - 1/20*v**4 - 9*v**2. Factor k(s).
s*(s - 1)*(s + 3)*(3*s + 2)/5
Let h(r) = -6*r + 24. Let s be h(2). Let a(q) be the first derivative of 1 + 12*q**2 - s*q + 3/4*q**4 - 5*q**3. Suppose a(u) = 0. Calculate u.
1, 2
Let f be (0 - -15) + (-2052)/144. Factor f*z**3 - 9/4*z**2 - 3/4*z + 9/4.
3*(z - 3)*(z - 1)*(z + 1)/4
Let a(o) be the third derivative of 1/180*o**6 - 1/630*o**7 + 0*o - 1/18*o**3 + 1/90*o**5 - 5*o**2 - 1/1008*o**8 - 1/72*o**4 + 0. Solve a(q) = 0 for q.
-1, 1
Let x(q) be the second derivative of q**6/300 - q**5/75 - q**4/60 + 2*q**3/15 - 8*q**2 - 3*q. Let a(h) be the first derivative of x(h). Factor a(l).
2*(l - 2)*(l - 1)*(l + 1)/5
Let p = -19 + 21. Suppose -p = j - 18. Factor -2*d**4 - j*d**3 - 30*d - 44*d**2 - 18*d - 17 - 1.
-2*(d + 1)**2*(d + 3)**2
Factor -14/11*h**2 - 28/11*h - 16/11 - 2/11*h**3.
-2*(h + 1)*(h + 2)*(h + 4)/11
Let h(c) = 2*c**2 - c - 1. Let f(m) = 3*m**2. Let q(s) = 3*f(s) - 2*h(s). Let a be q(-1). Factor -2/5*x**4 + 0*x**2 + 0*x**3 + 0 - 2/5*x**a + 0*x.
-2*x**4*(x + 1)/5
Suppose 17 = 5*s - 3. Suppose -15*h + 9*h = -12. Factor -2*y**2 + s*y**h + 4*y - 4 + 6.
2*(y + 1)**2
Let u(c) be the first derivative of -1/100*c**5 - 2*c - 1/150*c**6 + 0*c**2 + 2/15*c**3 + 1/15*c**4 + 1. Let v(y) be the first derivative of u(y). Factor v(p).
-p*(p - 2)*(p + 1)*(p + 2)/5
Let g(b) = b**2 + 1. Let s(d) = -d**2 + 64*d + 251. Let i(y) = -5*g(y) - s(y). Factor i(w).
-4*(w + 8)**2
Determine d so that -16/3*d + 32/9 - 2/9*d**3 + 2*d**2 = 0.
1, 4
Let j(i) be the third derivative of -i**6/240 - 7*i**5/30 + 31*i**4/48 + 29*i**3/6 + 9*i**2 + 7*i. Determine d, given that j(d) = 0.
-29, -1, 2
Let s(h) = -2*h**3 - 30*h**2 - 18. Let j be s(-15). Let b be j/(-14) + 4 + -5. Factor -b*u**2 - 6/7*u + 8/7.
-2*(u - 1)*(u + 4)/7
Determine v, given that -111/8*v**4 + 0*v + 0 - 231/8*v**3 + 3/8*v**5 - 117/8*v**2 = 0.
-1, 0, 39
Let j(s) = 3*s + 12. Suppose -9 + 3 = 2*p. Let m be j(p). Factor 1/3*g**m + 2/3*g**2 + 0*g + 0.
g**2*(g + 2)/3
Suppose -15*i = -20*i + 35. Let h(z) be the first derivative of 1/2*z**6 + 27/4*z**4 + 0*z - i*z**3 - 3*z**5 + 4 + 3*z**2. Suppose h(u) = 0. What is u?
0, 1, 2
Let s(c) be the second derivative of -c**4/78 + 10*c**3/39 - 16*c**2/13 - 203*c. Find h, given that s(h) = 0.
2, 8
Let m(y) be the first derivative of -3*y**4/4 - 2*y**3 + 39*y**2/2 - 30*y + 285. Factor m(d).
-3*(d - 2)*(d - 1)*(d + 5)
Suppose 5 = 5*y, -n - 4*y + 2*y + 5 = 0. Suppose -138*c = -135*c - 45. Factor c*a + 30*a**4 + 2 + 10*a**3 + 40*a**2 - 2*a**3 + 42*a**n + 7*a**5.
(a + 1)**4*(7*a + 2)
Let b(p) = -20*p**3 - 35*p**2 - 5*p + 15. Let y(t) = t**3 + 2*t**2 + t - 1. Let h(l) = b(l) + 15*y(l). Factor h(a).
-5*a*(a - 1)*(a + 2)
Let u be (-3)/(-2) + (-21)/(-6). Suppose u*g = 2*g + 12. Factor 2/5*b**g + 0*b + 4/5*b**3 + 0*b**2 + 0.
2*b**3*(b + 2)/5
Solve 0*i - 2/13*i**2 + 8/13 = 0.
-2, 2
Let q = 2178 + -2178. Factor 0*r**3 + q*r + 0*r**2 - 1/4*r**4 + 0 + 1/4*r**5.
r**4*(r - 1)/4
Let p = -5083/3 - -1699. Suppose 4/3*l**2 + 10/3*l**4 - p*l**3 + 0*l + 0 = 0. What is l?
0, 2/5, 1
Let m be 62/22 - (-24)/132. Suppose -m*i = -2*n - 4, -5*i - 4*n + 48 = 12. What is r in -3*r**3 - i*r + 6*r**4 - 9*r**3 + 14*r**2 + r**3 - 5*r**3 = 0?
0, 2/3, 1
Let y(a) = -a**3 - 11*a**2 - a - 8. Let h be y(-11). Find s such that 12*s**5 + 0*s**4 - 10*s**2 - 8 + 6*s**4 - 24*s + 16*s**h - 16*s**5 = 0.
-1, -1/2, 2
Let t be (-3*6/9)/(-19 - (18 - 36)). Find r, given that 4/3*r - t*r**2 + 2/3 = 0.
-1/3, 1
Suppose -14 + 14 + 4*r**5 - 28*r**4 + 60*r**2 + 16*r**3 + 12*r**3 = 0. What is r?
-1, 0, 3, 5
Let l be 29/6 + (-24)/(-144). Let c(d) be the first derivative of 0*d - 4/3*d**3 + 4/15*d**l + 5 + 0*d**4 - 4/3*d**2. What is p in c(p) = 0?
-1, 0, 2
Let d(j) = j**2 + j + 3. Let v be d(-2). Suppose 4*b - 22 = -3*x, v*x = b - 2*b + 14. Factor -31*p**2 + 5*p**b + 3*p + p**4 - 3*p**5 + 25*p**2.
-3*p*(p - 1)**3*(p + 1)
Let g = 11/119 - -3753/595. Suppose -12/5*m**2 - 16/5 - g*m + 8/5*m**3 + 4/5*m**4 = 0. Calculate m.
-2, -1, 2
Suppose 4*t = -188*x + 192*x + 12, -2*x = -5*t + 6. Factor -18/5*o**4 - 6/5*o**3 + 16/5*o**2 + 8/5*o + t.
-2*o*(o - 1)*(3*o + 2)**2/5
Let a = -2 - -2. Suppose a = -3*m + 6 + 6. Factor -6*t**2 - t**3 + m*t**2 + 2*t**3 + t + 0*t**2.
t*(t - 1)**2
Suppose -5*y - 23 = -4*m, -4*y + 3 = 15. Determine g so that 3*g**4 + 3*g**3 - 8*g**5 + 9*g**5 + 0*g**5 - 3*g**2 + 4*g**m = 0.
-1, 0
Let t(g) be the first derivative of -g**3/3 + 91*g**2/2 - 178*g - 776. Let t(z) = 0. What is z?
2, 89
Let d(l) be the third derivative of 0 + 0*l**3 + 1/336*l**8 + 0*l**6 - 1/105*l**7 - 1/24*l**4 + 0*l + l**2 + 1/30*l**5. Factor d(o).
o*(o - 1)**3*(o + 1)
Let n be (-10*(-189)/3675)/((-3)/(-42)). Find w such that 0*w + 4/5*w**2 - n = 0.
-3, 3
Let x(r) = -r**2 - 8*r + 23. Let b be x(-9). Let t = -14 + b. Factor -8/9*z**2 + t + 8/9*z + 2/9*z**3.
2*z*(z - 2)**2/9
Let z(p) be the second derivative of 0 + 11*p + 1/2*p**2 + 1/72*p**4 - 7/36*p**3. Factor z(l).
(l - 6)*(l - 1)/6
Let j = -22 - -26. Find q, given that 5*q**5 - j*q**3 - 2*q**5 - q**5 + 0*q**5 + 2*q = 0.
-1, 0, 1
Let t(o) be the third derivative of 2*o**7/105 + 11*o**6/30 + 8*o**5/5 - 6*o**4 + 259*o**2 - o. Suppose t(y) = 0. What is y?
-6, 0, 1
Determine n so that -1/6*n**5 - 1/3*n**4 + 0 - 2/3*n**2 + 7/6*n**3 + 0*n = 0.
-4, 0, 1
Let q(l) be the first derivative of -l**3/9 - 3*l**2 - 116. Suppose q(z) = 0. Calculate z.
-18, 0
Let u(v) = v**2 - v - 2. Let g be u(2). Suppose -4*o - 3*q + 42 + 7 = g, -5*o - 2*q = -56. Determine w so that -o + 8 + 32*w + 13*w**2 - w**2 - 10 = 0.
-3, 1/3
Let r(g) = -43*g**4 - 49*g**3 + 64*g**2 + 16*g - 4. Let i(n) = 170*n**4 + 195*n**3 - 255*n**2 - 65*n + 15. Let u(b) = -4*i(b) - 15*r(b). Solve u(o) = 0.
-2, -2/7, 0, 1
Let 25*y + 13*y**2 + 14*y**2 + 12 + 21*y - 7*y = 0. Calculate y.
-1, -4/9
Let o = 33 + -14. Let q = 12 + o. Factor 32*y**2 - q*y**2 - 3*y + 4*y.
y*(y + 1)
Factor 468*i**2 - 24*i**3 + 57/2 - 459/2*i.
-3*(i - 19)*(4*i - 1)**2/2
Let v be 1/(-5)*860/5*-2. Let h = 69 - v. Let -2/5*u + h*u**2 + 1/5 = 0. Calculate u.
1
Suppose 7 = 2*q + 7. Suppose q = -w - 4*w + 20. Factor 1/6*l**5 + 0*l**2 + 0 + 1/3*l**3 + 1/2*l*