k(j) = 0.
0, 3
Suppose 6*q + 5 = 29. Let f be ((-50)/q)/5*(-20)/25. Find d, given that 2/9*d**f + 0 + 2/9*d = 0.
-1, 0
Let x be 858/(-21) - 11/77. Let l be (x - -41) + (3/2)/1. Factor -3/2*k**2 + l*k + 0.
-3*k*(k - 1)/2
Let k be 36/24*(-8)/(-18). Factor 0*m**2 + k*m**3 - 2*m + 4/3.
2*(m - 1)**2*(m + 2)/3
Suppose 3*n - 2*i = -42, -3 = n + i + 6. Let a = -9 - n. Factor p**2 + 2*p**a - p**2 - 5*p**3.
-3*p**3
Let b(p) be the second derivative of -1/60*p**4 + 1/30*p**3 + 0 + 13*p + 1/5*p**2. Determine x, given that b(x) = 0.
-1, 2
Let j(y) be the third derivative of 243/2*y**3 + 81/8*y**4 + 0 + 9/20*y**5 + 0*y + 1/120*y**6 - 43*y**2. Factor j(s).
(s + 9)**3
Factor 2*b**4 - 19*b**2 + 7*b**2 + 24*b - 20*b**2 + 6*b**3.
2*b*(b - 2)*(b - 1)*(b + 6)
Let n = 292 - 200. Determine i so that -5*i**3 + i**2 - n + 47 + 45 = 0.
0, 1/5
Let d(p) = -10*p**3 - 24*p**2 - 142*p - 80. Let b(c) = c**3 - 2*c**2 + c - 2. Let a(v) = 8*b(v) + d(v). Solve a(s) = 0 for s.
-16, -3, -1
Let j(m) be the second derivative of m**7/504 + m**6/144 - m**5/12 + m**4/6 - 7*m. Let r(x) be the third derivative of j(x). Determine u so that r(u) = 0.
-2, 1
Let l(v) be the third derivative of -v**9/151200 + v**7/12600 + v**5/60 - 7*v**2. Let k(n) be the third derivative of l(n). Determine r, given that k(r) = 0.
-1, 0, 1
Let i(b) be the first derivative of b**5/10 - 3*b**4/4 + 3*b**3/2 + b**2 - 6*b - 148. Factor i(m).
(m - 3)*(m - 2)**2*(m + 1)/2
Let q(p) be the second derivative of -p**7/2 - 2*p**6 + 27*p**5/20 + 23*p**4/2 - 2*p**3 - 36*p**2 - 164*p. What is o in q(o) = 0?
-2, -6/7, 1
Let l = 6149 + -6147. Solve -10/11*d + 10/11*d**3 - 2/11 + 2/11*d**l = 0 for d.
-1, -1/5, 1
Suppose 0 = -197*x - 344 + 344. Find k, given that 4/9*k**3 + 0*k**2 + x - 4/9*k = 0.
-1, 0, 1
Solve -21*f**3 + 15 + 15*f**2 + 15 + 6 + 132*f = 0.
-2, -2/7, 3
Suppose -25 = 5*v, 3*m - v - 21 = 2*v. Let g(f) be the first derivative of 8/7*f + 11 + 3/7*f**m - 2/21*f**3. Factor g(a).
-2*(a - 4)*(a + 1)/7
Let b(c) = 40*c + 482. Let v be b(-12). Let i(z) be the third derivative of 1/6*z**4 + 1/3*z**3 + 0*z + 1/30*z**5 + 0 - 12*z**v. Let i(l) = 0. Calculate l.
-1
Let k(s) be the first derivative of -s**6/6 - s**5/5 + s**4/4 + s**3/3 + 173. Let k(g) = 0. Calculate g.
-1, 0, 1
Let j = -1569/7 - -225. Let i = 21076/133 + -3000/19. Factor i*u + 2/7*u**3 + j*u**2 + 0.
2*u*(u + 1)*(u + 2)/7
Let y(f) be the third derivative of f**9/756 - f**7/210 + f**3 - 40*f**2. Let n(k) be the first derivative of y(k). Suppose n(u) = 0. What is u?
-1, 0, 1
Factor p**2 + 1/2*p - 3/2.
(p - 1)*(2*p + 3)/2
Let p = -13 + 17. Suppose 0 = p*l - 0*m + 3*m - 46, 24 = 3*l - 3*m. Factor 3*n + 8 + l*n - n + 2*n**2 - 2*n.
2*(n + 1)*(n + 4)
Suppose 7 + 33 + 4*m**2 + 0*m**2 + 51*m - 7*m = 0. What is m?
-10, -1
Suppose -6 = 6*o - 8*o. Let 0*b**2 + o*b + 8*b**2 - 5*b**2 - 6 + 0 = 0. Calculate b.
-2, 1
Let c be -1 + ((-1)/2)/(3/(-6)). Let t be c + -1 - 35/(-21). Factor 1/3*v**3 + 0*v**2 + t - v.
(v - 1)**2*(v + 2)/3
Let i(s) = -4*s + 36. Let f be i(8). Let p be 66/f*9/54. Find a such that -p*a - 17/4*a**3 + 1/2 + 5/4*a**4 + 21/4*a**2 = 0.
2/5, 1
Let m(b) = -5*b**3 + 86*b**2 - 128*b + 88. Let n(f) = 3*f**3 - 58*f**2 + 85*f - 59. Let x(q) = -5*m(q) - 7*n(q). What is z in x(z) = 0?
3/2, 3
Suppose 0 = -187*a + 191*a - 328. Suppose a - 82 = 2*y. Factor -1/2*c**2 + 0*c + 1/2*c**4 + 0*c**3 + y.
c**2*(c - 1)*(c + 1)/2
Let f(t) = 9*t**5 + 2*t**4 + t**3 + 48*t**2 - 60*t. Let z(p) = 11*p**5 + 4*p**4 + 2*p**3 + 47*p**2 - 60*p. Let b(s) = -5*f(s) + 4*z(s). Factor b(y).
-y*(y - 5)*(y - 2)**2*(y + 3)
Suppose -57*t = -14*t - 129. Let f(r) be the third derivative of 0 + 1/18*r**5 + 1/3*r**t - 3*r**2 + 0*r + 7/36*r**4 + 1/180*r**6. Factor f(m).
2*(m + 1)**2*(m + 3)/3
Factor 51*v**4 - 1010*v**5 - v**2 + 27*v**3 + 504*v**5 + 7*v**2 + 521*v**5 - 15*v**4.
3*v**2*(v + 1)**2*(5*v + 2)
Let w(k) be the second derivative of -k**4/9 + 14*k**3/3 - 208*k**2/3 + 123*k - 1. Factor w(x).
-4*(x - 13)*(x - 8)/3
Determine g so that 2/3*g**3 - 3844/3 + 40*g**2 + 558*g = 0.
-31, 2
Let b(l) = 15*l**3 - 11*l - 19 - 3*l**2 - 17*l**3 + 20*l**2. Let u(f) = f**2 - f - 1. Let w(m) = 2*b(m) - 22*u(m). Factor w(q).
-4*(q - 2)**2*(q + 1)
Let d(t) = 5*t**2 + 35*t + 395. Let k(a) = a**2 + 17*a + 198. Let n(i) = 2*d(i) - 5*k(i). Factor n(z).
5*(z - 8)*(z + 5)
Factor 16*j + 3*j**3 + 4*j**3 - j**3 - 16*j**2 - 2*j**3.
4*j*(j - 2)**2
Suppose 3*w + 15 = 3*p, 3*p + w + 9 = 12. Factor 0*g**p + 0 + 0*g + 0*g**3 + 2/9*g**4.
2*g**4/9
Let w = -19657 - -1512859/77. Let x = -98/11 - w. Factor -8/7*o + 5/7*o**2 + x - 1/7*o**3.
-(o - 2)**2*(o - 1)/7
Let a(l) be the second derivative of -l**4/36 + 13*l**3/18 - 26*l - 1. Determine z, given that a(z) = 0.
0, 13
Let u(r) be the second derivative of -1/4*r**3 + 3*r + 3/40*r**5 - 1/60*r**6 + 1/2*r**2 + 0 - 1/24*r**4. Suppose u(q) = 0. What is q?
-1, 1, 2
What is c in 0 + 38/3*c**3 - 2*c**4 + 16/3*c - 20*c**2 = 0?
0, 1/3, 2, 4
Let h be 2/3 + (-64)/(-12). Suppose -v + h = 2*v. Let -3*s**3 + 4*s**2 - s**2 - 3 + 3*s + 0*s**v = 0. Calculate s.
-1, 1
Let x = 11/21 - 1/42. Let a(c) = 4*c**3 - 4*c**2 + 3*c - 1. Let p be a(1). Factor 0 + x*i**p + 1/2*i.
i*(i + 1)/2
Let v(x) be the second derivative of -3*x**7/700 - x**6/60 + 2*x**5/75 + 4*x**4/15 - 37*x**3/6 - 37*x. Let y(m) be the second derivative of v(m). Factor y(a).
-2*(a - 1)*(3*a + 4)**2/5
Let g = 69 - 37. Let -12*p - 4*p**5 + 48*p - 24*p**2 + 11*p**4 - g*p**3 + 13*p**4 = 0. What is p?
-1, 0, 1, 3
What is w in 1/5*w**2 - 7/5*w + 12/5 = 0?
3, 4
Suppose 0 = 4*b - 0*b - 3*k + 224, 0 = -2*b + 2*k - 114. Let o = b + 160/3. Factor -2/3 + a - o*a**2.
-(a - 2)*(a - 1)/3
Suppose -82 = 4*n - t - 336, -4*t + 118 = 2*n. Let z be 12/n*30/4. Suppose 6/7*g**2 + 4/7 - z*g = 0. What is g?
2/3, 1
Solve -2*p**2 + 38*p - p**2 - p + 5*p - 261 + 54*p = 0 for p.
3, 29
Let a = 15 - 11. Let s be ((-3)/(-34 + a))/(2/4). Solve -s*y - 1/5*y**2 + 0 = 0 for y.
-1, 0
Let a be ((-15)/(-12))/((-1)/((-48)/30)). Find m, given that 0 - 3/5*m**a - 3/5*m = 0.
-1, 0
Let j(h) = -5*h**2 + 20*h - 23. Let p(c) = 5*c**2 - 20*c + 21. Let b(f) = 3*j(f) + 4*p(f). Solve b(x) = 0 for x.
1, 3
Let c = 1012 + -1009. Let q(k) be the first derivative of 48/5*k - 5 + 1/5*k**c - 12/5*k**2. Factor q(u).
3*(u - 4)**2/5
Let j = -40785 - -122357/3. Factor j*b**2 + 0 - 6*b.
2*b*(b - 9)/3
Let i(l) be the third derivative of 1/780*l**6 - 1/156*l**4 - 7*l**2 + 1/390*l**5 + 0*l**3 + 0*l - 1/1365*l**7 + 0. Solve i(v) = 0 for v.
-1, 0, 1
Let j(t) = t**3 + t**2 + 1. Let y(h) = -h**3 + h**2 - h - 5. Let v(b) = -4*j(b) - 2*y(b). Find c, given that v(c) = 0.
-3, -1, 1
Let f(z) be the second derivative of -z**5/60 + 29*z**4/72 - 28*z**3/9 + 49*z**2/12 + 4*z + 8. Find n such that f(n) = 0.
1/2, 7
Let y = 3811/4 + -949. Factor 0 + y*j - 5/4*j**3 + 5/2*j**2.
-5*j*(j - 3)*(j + 1)/4
Let d(i) = i**2 + 5*i + 2. Let o be d(-5). Let k(g) be the second derivative of 0 - 1/3*g**4 + o*g**2 - g - g**3. Factor k(h).
-2*(h + 2)*(2*h - 1)
Factor 2/7*r**5 + 18/7*r + 16/7*r**4 + 48/7*r**2 + 0 + 44/7*r**3.
2*r*(r + 1)**2*(r + 3)**2/7
Let x(t) = t**2 - t - 1. Let w(p) = -18*p + 5*p - 5*p + 12*p**2 - 15 + 6*p**2. Suppose -4*z + 3 = -7*z. Let g(l) = z*w(l) + 15*x(l). Let g(u) = 0. What is u?
0, 1
Let d = -1206 - -1208. Suppose -4*s = -12, c + 3 = -2*c + s. Let c + 0*r**d - 4/5*r**3 + 0*r = 0. Calculate r.
0
Suppose -5*s = -6*s + 5. Suppose s*a = n + n + 5, 2*a - 2*n = -4. Factor a*j**3 - j**4 - 18*j**2 - 4*j**4 + 7*j**3 + 13*j**2.
-5*j**2*(j - 1)**2
Suppose 0*b + 2*m = b - 20, -5*m - 42 = -2*b. Let g = 19 - b. Factor o - 2 + 2*o**3 - o**4 + o**g + 3*o**2 - 4*o**3.
-(o - 1)**2*(o + 1)*(o + 2)
Let n = -13726 + 27455/2. Solve n - t**3 + 1/2*t**4 + t - 2*t**2 = 0 for t.
-1, 1, 3
Let u(g) be the first derivative of 0*g - 5 + 0*g**3 + 0*g**4 + 0*g**2 + 3/10*g**5. Solve u(j) = 0.
0
Let b be (-13618)/(-20427) + 2/(-3) + (-2)/(-8). Factor 1/4*j**2 + b*j - 1/4*j**3 - 1/4.
-(j - 1)**2*(j + 1)/4
Let q(o) be the first derivative of -o**5 - 5*o**4/4 + 10*o**3/3 + 370. Determine r, given that q(r) = 0.
-2, 0, 1
Suppose 2*w - 2*d - 18 = 0, 4*d + 3 + 45 = 5*w. Let m = 14 - w. Factor -5/4*n + 7/4*n**m - 1/2.
(n - 1)*(7*n + 2)/4
Let o(l) be the second derivative of l**5/100 - 37*l**4/60 + 12*l**3 - 162*l**2/5 - 83*l. Suppose o(k) = 0. Calcul