 2)*(m + 1)
Suppose -d + 5*i = -3, 3*d = 5*i - 4 + 3. Let k = 12 - d. Factor 11*z - 5*z - k*z**3 + 4*z**2 - 4 + 8*z.
-2*(z - 1)*(z + 1)*(7*z - 2)
Let n = 13890 - 13890. Let -1/2*g**3 + n + 1/2*g + 0*g**2 = 0. Calculate g.
-1, 0, 1
Let k = -3733 - -3737. Factor -c**2 + 0*c + 0 - 1/6*c**3 + 1/6*c**k.
c**2*(c - 3)*(c + 2)/6
Let q = 32 - 32. Suppose -g + q = -4. Suppose -35*v + v**5 + 35*v - v**4 + v**3 - v**g = 0. Calculate v.
0, 1
Factor -8*b + 4*b**2 - 826 + 826.
4*b*(b - 2)
Factor 1886*t**3 + 960*t - 3525*t**3 - 542*t**3 + 1323*t**4 + 48 + 4296*t**2 - 2859*t**3.
3*(t - 2)**2*(21*t + 2)**2
Let u(i) be the first derivative of 2*i**6/3 - 4*i**5/5 - i**4 + 4*i**3/3 + 116. Factor u(b).
4*b**2*(b - 1)**2*(b + 1)
Let b = 321/484 + 21/242. Let n - 1/4 - b*n**2 = 0. Calculate n.
1/3, 1
Let u(j) = j**3 - 3*j**2 + 20*j - 32. Let z be u(2). Let b(t) be the third derivative of 1/16*t**z - 3*t**2 - 1/6*t**3 + 0*t - 1/120*t**5 + 0. Factor b(w).
-(w - 2)*(w - 1)/2
Let l = -4 - -33. Let r = l - 27. Factor -2*a + a**5 + 4*a**4 + 2*a**3 - a - 4*a**4 - 1 - 2*a**r + 3*a**4.
(a - 1)*(a + 1)**4
Let m = 8 + -3. Factor -12*w**4 - w**5 - 2*w**2 + 0*w**m + 6*w**5 + 9*w**3.
w**2*(w - 1)**2*(5*w - 2)
Let p(y) be the first derivative of y**6/540 + y**5/180 - y**4/18 - 3*y**3 + y**2 - 53. Let n(x) be the third derivative of p(x). Suppose n(j) = 0. What is j?
-2, 1
Let x(k) = -13*k**3 + 669*k**2 - 7968*k - 1152. Let u(g) = g**3 - g**2. Let a(w) = 2*u(w) - 2*x(w). Suppose a(j) = 0. Calculate j.
-1/7, 24
Let p be (-3 - (-44)/16)*(-11 + (-420)/(-44)). Determine o, given that -6/11*o**2 + p*o + 2/11*o**3 + 0 = 0.
0, 1, 2
Let x(b) = -b**3 - 5*b**2 - 6*b - 3. Let r = 4 - 8. Let w be x(r). What is v in -v + v + w*v**2 - 8*v**2 = 0?
0
Let m(x) be the third derivative of 3*x**5/10 + 25*x**4/12 - 2*x**3 + 438*x**2. Factor m(o).
2*(o + 3)*(9*o - 2)
Let 0 - 3*c**2 - 21/2*c**3 + 6*c**5 + 15/2*c**4 + 0*c = 0. Calculate c.
-2, -1/4, 0, 1
Let a = 404/15 - 2738/105. Let n(g) = -2*g**2 - 2*g. Let y be n(-1). Factor 0*j + a*j**3 + y + 3/7*j**4 + 3/7*j**2.
3*j**2*(j + 1)**2/7
Suppose -26 = -4*h + k, 31 = 2*h + 3*h - 2*k. Let r be 4 + ((-90)/h)/5. Let -8/7*y**3 - 16/7*y**2 - 2/7 - r*y = 0. What is y?
-1, -1/2
Let w(u) be the first derivative of 20*u**7/21 - 2*u**6/5 - 6*u**5/5 - u**4/3 - 6*u - 24. Let h(z) be the first derivative of w(z). Find v, given that h(v) = 0.
-1/2, -1/5, 0, 1
Let s(g) be the second derivative of g**5/210 + g**4/21 + 11*g**3/63 + 2*g**2/7 - g. Determine f, given that s(f) = 0.
-3, -2, -1
Suppose -3 = 5*u - 53. Find h, given that 2*h**2 - 5*h**2 - 2*h**2 - 5 + u*h = 0.
1
Let g(a) = a**3 - a**2 - 20*a + 4. Let p be g(5). Factor -3/5*b**p - 6/5*b + 0 + 0*b**3 + 9/5*b**2.
-3*b*(b - 1)**2*(b + 2)/5
Let c(i) be the second derivative of -3*i**5/25 + 122*i**4/15 + 82*i**3/15 - 608*i. Find z such that c(z) = 0.
-1/3, 0, 41
Let g(y) = y**3 + y**2 + 1. Let w(k) = -10*k**3 - 30*k**2 - 35*k - 20. Let q = -94 - -89. Let m(h) = q*g(h) - w(h). Factor m(r).
5*(r + 1)**2*(r + 3)
Let p(r) be the second derivative of 0*r**3 + 1/102*r**4 + 0*r**2 + 0 + 16*r. Find k such that p(k) = 0.
0
Let w(x) = -8*x**4 + 18*x**3 - 8*x**2 + 10. Let m(r) = -15*r**4 + 32*r**3 - 15*r**2 + r + 19. Let t(n) = -6*m(n) + 11*w(n). Factor t(v).
2*(v - 1)*(v + 1)**2*(v + 2)
Let o = 257 + -481/2. Find z such that 93/2*z**2 - o*z**3 - 12*z**4 - 30*z + 6 + 6*z**5 = 0.
-2, 1/2, 1, 2
Find u, given that -11/6*u**2 + 2 - 1/6*u**3 + 1/3*u**4 + 2/3*u = 0.
-2, -1, 3/2, 2
Let f(o) be the second derivative of -o**5/130 - 2*o**4/13 + 9*o**3/13 + 486*o**2/13 - 2*o - 340. Solve f(s) = 0.
-9, 6
Let g(u) be the first derivative of u**6/10 + 6*u**5/5 + 15*u**4/4 + 872. Factor g(s).
3*s**3*(s + 5)**2/5
Let k(a) be the second derivative of -7/6*a**3 - 1/168*a**7 + 0 - 2*a - 5/16*a**5 + a**2 + 1/15*a**6 + 19/24*a**4. Determine b so that k(b) = 0.
1, 2
Let u(k) be the first derivative of 2*k**5/55 - 3*k**4/11 + 8*k**3/11 - 10*k**2/11 + 6*k/11 + 144. Factor u(g).
2*(g - 3)*(g - 1)**3/11
Let h be 60/40*((-16)/56 - 248/(-84)). Find d such that -5/3*d**2 - 5 - 55/6*d + 5/3*d**h + 25/6*d**3 = 0.
-2, -1, 3/2
Let h(p) be the second derivative of p**7/5880 + p**6/630 - 2*p**3/3 + 10*p. Let r(s) be the second derivative of h(s). Solve r(l) = 0.
-4, 0
Let d(n) be the first derivative of -n**6/12 + n**5/4 + 11*n**4/16 + n**3/3 - 37. Suppose d(o) = 0. What is o?
-1, -1/2, 0, 4
Suppose -7*c - 6*c = 0. Let o(i) be the second derivative of 0*i**4 + 0*i**5 + 1/63*i**7 + 1/45*i**6 - 2*i + 0 + c*i**2 + 0*i**3. Let o(f) = 0. What is f?
-1, 0
Suppose 4*a - 3*a - 2*x = 0, -2*a = -3*x - 2. Factor 4*u**4 + 9*u**2 - a*u**3 + 4*u + 12*u - 12*u**3 + 3*u**2 - 16.
4*(u - 2)**2*(u - 1)*(u + 1)
Let b(h) = h**2 - 7*h + 9. Let c be b(6). Suppose -2*f + c = -25. Determine z, given that -15*z + 4*z**2 - f*z**3 + 15*z = 0.
0, 2/7
Factor -4/11*r + 8/11 + 5/11*r**3 - 1/11*r**4 - 6/11*r**2.
-(r - 2)**3*(r + 1)/11
Let u = -11 - -8. Let a(i) = 2*i**3 + 9*i**2 + 3*i + 2. Let s(f) = f**2 + f. Let r(v) = u*a(v) + 24*s(v). Solve r(m) = 0.
-2, 1/2, 1
Suppose -3*a + 60 = -s, a - 3*s = 24 + 4. Let f = a - 16. Factor 3*o**4 - o**2 - o**4 - o**4 - 4*o**5 + o**f + 3*o**5.
-o**2*(o - 1)**2*(o + 1)
Let k = 98 + -96. Factor 2*j + 8 + 10*j + k*j - 10*j - 4*j**2.
-4*(j - 2)*(j + 1)
Determine z, given that 456*z - 13*z**3 - 5*z**3 - 7*z**3 - 476*z + 40*z**2 + 5*z**4 = 0.
0, 1, 2
Let u(z) be the second derivative of -z**7/252 + z**6/144 - z**4/12 + 4*z. Let b(q) be the third derivative of u(q). Let b(r) = 0. What is r?
0, 1/2
Let m(u) be the second derivative of u**5/30 + 2*u**4/9 - u**3/9 - 4*u**2/3 + 33*u. Factor m(f).
2*(f - 1)*(f + 1)*(f + 4)/3
Let x(v) be the first derivative of v**6/540 + 2*v**3/3 + 21. Let q(c) be the third derivative of x(c). Find r, given that q(r) = 0.
0
Determine l, given that -12/17 - 2/17*l**2 + 10/17*l = 0.
2, 3
Let p(g) be the third derivative of -13*g**6/300 + g**5/3 + 2*g**4/15 - g**2 + 2. Solve p(r) = 0 for r.
-2/13, 0, 4
Factor 0*x**2 + 0*x - 1/2*x**3 - 1/2*x**4 + 0.
-x**3*(x + 1)/2
Let k(w) be the second derivative of w**6/2 - 7*w**5/4 - 5*w**4/2 + 10*w**3 + 20*w**2 - 50*w. Factor k(v).
5*(v - 2)**2*(v + 1)*(3*v + 2)
Let s(t) be the second derivative of t**4/30 + 346*t**3/15 + 29929*t**2/5 + 162*t. Factor s(m).
2*(m + 173)**2/5
Let m(z) be the second derivative of -2*z**7/105 - 19*z**6/75 - 13*z**5/50 + 83*z**4/15 - 4*z**3 - 72*z**2/5 + 245*z. Suppose m(t) = 0. What is t?
-6, -1/2, 1, 2
Let u(d) be the first derivative of -17 + 1/3*d**3 + 0*d + 0*d**2 - 1/5*d**5 + 0*d**4. Solve u(a) = 0 for a.
-1, 0, 1
Let g be (195/(-390))/(1 + -2). Suppose 0*h - g*h**3 + 1/6*h**2 + 0 = 0. What is h?
0, 1/3
Let l(o) be the third derivative of 0*o - 17*o**2 - 1/20*o**5 - 3/2*o**3 + 1/2*o**4 + 0. Find h such that l(h) = 0.
1, 3
Let a(k) = -k + 3. Let f be a(-4). Suppose 7*g - 21 = -0*g. Suppose -6*m**3 - 2*m**5 + g*m + f*m**5 - 4*m**5 + 2*m**5 = 0. Calculate m.
-1, 0, 1
Let v = 13843 + -96857/7. Find h such that 0*h + v*h**3 + 0 - 242/7*h**2 - 2/7*h**4 = 0.
0, 11
Let g(y) = -y**3 - 7*y**2 - 8*y + 16. Let c be g(-4). Let d(u) be the second derivative of -3/4*u**4 - 27/2*u**2 - 9/2*u**3 - u - 1/20*u**5 + c. Solve d(k) = 0.
-3
What is q in 497*q**2 - 4*q**3 - 385*q**2 + 0*q**3 = 0?
0, 28
Let u(x) = -5*x**5 + 50*x**4 - 50*x**3 - 430*x**2 + 745*x. Let q(w) = -5*w**5 + 51*w**4 - 51*w**3 - 431*w**2 + 744*w. Let t(i) = 5*q(i) - 6*u(i). Factor t(l).
5*l*(l - 5)**2*(l - 2)*(l + 3)
Let p = 1734 - 1731. What is g in -1/3*g**2 - 2/3*g**4 - g**p + 0 + 0*g = 0?
-1, -1/2, 0
Let n(q) = -q**3 - 15*q**2 + 24*q - 19. Let t = 20 - 12. Let d = t + -5. Let p(x) = x**3 + x**2 + 1. Let g(w) = d*p(w) + n(w). Find z, given that g(z) = 0.
2
Let i = 9725 + -9723. Let -4/7 - 4/7*w**3 + 4/7*w**i + 4/7*w = 0. Calculate w.
-1, 1
Let y(j) be the third derivative of 0 - 1/40*j**5 - 12*j**2 + 7/4*j**3 + 3/8*j**4 + 0*j. Factor y(x).
-3*(x - 7)*(x + 1)/2
Let y(r) be the first derivative of r**5/4 + 5*r**4/2 - 80*r**2 - 23*r + 5. Let q(h) be the first derivative of y(h). Factor q(j).
5*(j - 2)*(j + 4)**2
Let w(a) be the third derivative of a**6/420 + 23*a**5/210 - 13*a**4/42 - 16*a**3/7 - 97*a**2 - 2. Factor w(k).
2*(k - 2)*(k + 1)*(k + 24)/7
Let s(z) be the first derivative of 0*z**2 - 25 - 8/39*z**3 + 6/65*