+ r + 4. Let a(g) = 11*m(g) + 2*t(g). Solve a(z) = 0 for z.
0, 3
Let y = 49729/2 + -24857. Solve y*t**2 + 0 - 3/2*t**3 - 9/2*t - 3/2*t**4 = 0.
-3, 0, 1
Let r(t) = t + 1. Let q be r(3). Factor 7*j**5 - 3*j**5 + j**3 - 5*j**4 - 7*j**4 + 7*j**q.
j**3*(j - 1)*(4*j - 1)
Let u(p) be the first derivative of -p**4/66 + 2*p**3/33 - p**2/11 - 13*p - 3. Let b(f) be the first derivative of u(f). Factor b(h).
-2*(h - 1)**2/11
Let l(z) be the first derivative of 2*z**5/5 + 41*z**4/4 - 22*z**3/3 - 21*z**2/2 + 346. Factor l(w).
w*(w - 1)*(w + 21)*(2*w + 1)
Let w = -2487 - -2490. Find s, given that -1/2*s**2 - 3/4*s**w - 1/4*s**4 + 0*s + 0 = 0.
-2, -1, 0
Suppose -147/5 - 189/5*w - 3/5*w**3 - 9*w**2 = 0. Calculate w.
-7, -1
Determine z so that 4*z + 80/9 - 2/9*z**2 = 0.
-2, 20
Let r(g) be the second derivative of 4*g**7/105 + 7*g**6/75 - 3*g**5/25 - 7*g**4/30 + 2*g**3/15 - 7*g + 10. Suppose r(s) = 0. What is s?
-2, -1, 0, 1/4, 1
Let j be (-5 - (-11 + 1)) + -2. Factor 0*n + 0 - 2/3*n**j - 1/3*n**4 - 1/3*n**2.
-n**2*(n + 1)**2/3
Let q = -35 + 38. Let c(w) = w**3 + 5*w**2 + 4*w. Let u be c(-4). Suppose u*x - 2/3*x**2 + 0 + 2/3*x**q = 0. Calculate x.
0, 1
Let l(a) be the second derivative of -1/4*a**5 + 5/6*a**4 - 9*a - 5/6*a**3 + 0*a**2 + 0. What is c in l(c) = 0?
0, 1
Let z(n) = -5*n**2 + 15*n + 230. Let d(b) = 5*b**2 - 17*b - 234. Let i(r) = 5*d(r) + 6*z(r). Solve i(f) = 0.
-6, 7
Let o(a) be the second derivative of 0 - 1/4*a**5 - 5/12*a**4 - 4*a + 5/2*a**2 + 5/6*a**3. Factor o(n).
-5*(n - 1)*(n + 1)**2
Let o(f) be the second derivative of 21/100*f**5 + 1/2*f**3 + 29/60*f**4 + 1/30*f**6 + 0 + 15*f + 1/5*f**2. Let o(z) = 0. Calculate z.
-2, -1, -1/5
Let v(w) = -w**3 - 12*w**2 - 10*w + 13. Let x be v(-11). Let s(o) be the third derivative of 1/12*o**3 + 0*o**4 - x*o**2 + 0*o + 0 - 1/120*o**5. Factor s(r).
-(r - 1)*(r + 1)/2
Let b(h) = 16*h**2 - 4*h + 4. Let i(a) = -a**2 + 2*a - 1. Let l(t) = b(t) + 4*i(t). Factor l(z).
4*z*(3*z + 1)
Factor 30 - 25*m**3 + 60*m**2 - 111*m + 22*m**3 + 24.
-3*(m - 18)*(m - 1)**2
Let c(n) be the first derivative of 4*n**5 + 125*n**4/4 + 130*n**3/3 + 25*n**2/2 + 161. Solve c(p) = 0 for p.
-5, -1, -1/4, 0
Let g(a) be the second derivative of a**7/42 - 3*a**6/10 + 11*a**5/10 - a**4/2 - 23*a**3/6 + 15*a**2/2 + 138*a. Find n such that g(n) = 0.
-1, 1, 3, 5
Let z = 13 + -9. Let k be (3 - 12)/(-3) + 54. Determine g so that 3*g**2 + k*g**z - 19*g**5 - 44*g**3 + 6*g + 15*g**3 - 16*g**3 - 2*g**5 = 0.
-2/7, 0, 1
Let k(g) be the first derivative of -g**7/42 - g**6/12 - g**5/12 - 4*g**2 - 5. Let h(t) be the second derivative of k(t). What is u in h(u) = 0?
-1, 0
Let f be 2/2 - (-117)/(-234). Let x(y) be the second derivative of 4/3*y**2 + 0 - 16/9*y**3 - f*y**4 + 4*y. Factor x(t).
-2*(t + 2)*(9*t - 2)/3
Let s be -6*(1064/(-588))/38. Determine d so that 0 + s*d**2 - 16/7*d = 0.
0, 8
Let p(m) be the second derivative of m**5/90 - 11*m**4/27 - m**3/27 + 22*m**2/9 + 28*m + 1. Suppose p(a) = 0. What is a?
-1, 1, 22
Let b = 11980 - 11977. Suppose -2/17 + 18/17*u**4 - 16/17*u**2 + 12/17*u**b - 12/17*u = 0. Calculate u.
-1, -1/3, 1
Let a(f) = -f**3 - 2*f**2 + 5*f - 2. Let r be a(-4). Let s = -8 + r. Solve s*t**2 + 0 + 0 + 0 - 2*t**3 = 0 for t.
0, 1
Suppose 2*y - 10 = 0, -3 = 2*p - 3*y + 8. Let h be ((-3)/(-4))/(126/336). Let 0 - 2/3*v**3 + 0*v**p + 8/3*v**5 + h*v**4 + 0*v = 0. Calculate v.
-1, 0, 1/4
Find f, given that 6*f + 17*f + 22*f + 70*f**3 - 10 - 232*f**5 - 80*f**2 + 469*f**5 - 232*f**5 - 30*f**4 = 0.
1, 2
Let t(a) = -a**3 + a**2 - 2*a - 2. Let p be t(-3). Let w be 115/p + 5/40. Factor -3/5*l**w - 12/5*l**2 - 3*l - 6/5.
-3*(l + 1)**2*(l + 2)/5
Let v(a) be the first derivative of 3*a**5/5 + 21*a**4/2 + 43*a**3 + 45*a**2 + 839. Determine z so that v(z) = 0.
-10, -3, -1, 0
Let x(s) = -4*s**2 + 50*s - 202. Let w(l) = l + 1. Let g(k) = -6*w(k) - x(k). Factor g(b).
4*(b - 7)**2
Let v(z) be the first derivative of z**5/20 - z**4/12 - z**3/3 - 11*z + 9. Let i(w) be the first derivative of v(w). Factor i(s).
s*(s - 2)*(s + 1)
Let m(k) = k**4 + k**3 - k**2 + k. Let g(q) = -6*q**4 - 33*q**3 + 216*q**2 - 491*q. Let y(x) = 5*g(x) + 35*m(x). Factor y(d).
5*d*(d - 11)**2*(d - 4)
Let v(b) be the second derivative of b**6/210 - b**5/14 - 11*b**4/84 + 139*b. Find i such that v(i) = 0.
-1, 0, 11
Factor 5*i**2 - 21*i + 40*i + 34*i - 180 - 8*i.
5*(i - 3)*(i + 12)
Suppose -9*c + 698 + 652 = 0. Let u = 753/5 - c. Suppose 1/5*p**4 + 0 - u*p**2 + 0*p**3 - 2/5*p = 0. What is p?
-1, 0, 2
Find w, given that 108/7*w - 972/7 - 3/7*w**2 = 0.
18
Find n such that -9/2*n**3 + 3*n + 3/2*n**2 + 0 + 3/2*n**5 - 3/2*n**4 = 0.
-1, 0, 1, 2
Let a = 76 + -46. Let j be 8/(-5)*(-75)/a. What is q in -174*q**3 - 10*q**j + 168*q**3 + 0*q**2 + 4*q**2 = 0?
-1, 0, 2/5
Let p(j) be the third derivative of -j**7/2520 + j**6/270 - j**3/2 - 2*j**2. Let z(l) be the first derivative of p(l). Solve z(t) = 0.
0, 4
Suppose -6*f + 38 = 13*f. Let q(s) be the first derivative of 2/9*s**3 + 0*s - 1/6*s**4 + 2/3*s**f + 6. Suppose q(u) = 0. What is u?
-1, 0, 2
Let x = -119373/7 - -17054. Determine m so that 4/7*m**2 - 1/7*m**3 + 2/7 - x*m = 0.
1, 2
Let k = 998 + -445. Let o be (k/70 + -7)*10/6. Factor 3/2*v**2 - 3/4*v**3 + 3/4*v - o.
-3*(v - 2)*(v - 1)*(v + 1)/4
Let n(f) be the third derivative of 0 + 1/6*f**3 + 0*f + 1/240*f**5 + 5/96*f**4 + 13*f**2. Suppose n(j) = 0. What is j?
-4, -1
Let c = 2340 + -2338. Factor -1/6*u**c + 1/3*u - 1/6.
-(u - 1)**2/6
Let v(t) be the first derivative of 2*t**3/3 - 74*t**2 + 146*t - 309. Find m such that v(m) = 0.
1, 73
Let a(k) = 7 + 1 + 2*k - 6*k - 2. Let j be a(1). Let -2/11*g - 2/11*g**j + 0 = 0. What is g?
-1, 0
Let f(a) be the third derivative of a**8/6720 + a**7/560 + a**6/120 + 7*a**5/60 - 7*a**2. Let y(k) be the third derivative of f(k). Find l such that y(l) = 0.
-2, -1
Let t = -7829/2 + 3940. Solve -3*h - t*h**4 + 111/4*h**3 + 0 + 27/4*h**5 - 6*h**2 = 0 for h.
-2/9, 0, 1, 2
Let z(a) = -a**3 - 21*a**2 + 23*a + 13. Let i be z(-22). Let y be -5 + 3*(-21)/i. Find f such that 8/3 - 2/3*f**4 + 8/3*f - 2*f**y - 8/3*f**3 = 0.
-2, -1, 1
Let k(g) be the first derivative of 5*g**4/16 - 55*g**3/3 - 225*g**2/8 + 228. Let k(i) = 0. Calculate i.
-1, 0, 45
Let k(y) = 7*y - 4. Let o be k(1). Suppose 5*d + 2*u = 2*d, 9 = -o*u. Suppose -5/2*z**d + z + 0 - 7/2*z**3 = 0. Calculate z.
-1, 0, 2/7
Let y(q) = -q**2 + q - 11. Let v be y(0). Let d(o) = 4*o**4. Let j(m) = -10*m**4 - m**2. Let f(u) = v*d(u) - 4*j(u). What is g in f(g) = 0?
-1, 0, 1
Let -27/2 + 129/4*m + 15/4*m**2 = 0. What is m?
-9, 2/5
Factor -344/3 + 1036/3*c - 4*c**2.
-4*(c - 86)*(3*c - 1)/3
What is r in 2688*r - 4/3*r**4 - 112/3*r**3 - 208/3*r**2 - 6912 = 0?
-18, 4
Let w(b) be the third derivative of -b**6/24 + 7*b**5/12 - 10*b**4/3 + 10*b**3 - 105*b**2. Factor w(i).
-5*(i - 3)*(i - 2)**2
Factor -19*w + 258*w**3 - 88*w**3 - 82*w**3 - 83*w**3 - 31*w - 45*w**2.
5*w*(w - 10)*(w + 1)
Let n(g) be the first derivative of g**6/210 - g**5/105 - g**4/21 - 2*g**2 + 13. Let f(v) be the second derivative of n(v). Factor f(q).
4*q*(q - 2)*(q + 1)/7
Let w(a) = -13*a**5 - 128*a**4 + 24*a**3 + 4*a**2 + 8*a - 12. Let j(r) = -r**3 - r**2 - 2*r + 3. Let h(v) = 4*j(v) + w(v). Solve h(o) = 0 for o.
-10, 0, 2/13
Let p(n) be the first derivative of n**4/4 - 4*n**3/3 - 6*n**2 - 54. Solve p(u) = 0 for u.
-2, 0, 6
Let x(z) be the second derivative of 1/51*z**4 + 1/17*z**2 + 2*z - 1/17*z**3 + 0. Factor x(t).
2*(t - 1)*(2*t - 1)/17
Let o(f) = 3*f**4 + 4*f**3 + f**2 - 2*f. Let i(s) = 2*s**4 + 4*s**3 + 2*s**2 - 3*s. Let k(b) = 2*i(b) - 3*o(b). Suppose k(j) = 0. Calculate j.
-1, 0, 1/5
Let m(q) be the second derivative of q**5/30 - 13*q**4/9 + 64*q**3/3 - 96*q**2 + 51*q - 4. Factor m(n).
2*(n - 12)**2*(n - 2)/3
Let g = 96 + -80. What is q in -22*q**2 + 23*q**3 - 8*q**3 - 15*q + 6 + g*q**2 = 0?
-1, 2/5, 1
Let b(z) be the second derivative of z**5/10 - 8*z**4/3 + 52*z**3/3 - 48*z**2 + 105*z + 1. Solve b(t) = 0.
2, 12
Suppose -12 = 5*g - g, -2*n + 2 = 2*g. Determine r so that 0*r**3 + 3*r - 2*r**2 - 6*r**3 - 1 - r**5 + n*r**3 + 3*r**4 = 0.
-1, 1
Let a(m) be the second derivative of -2*m**6/15 - 14*m**5/5 + 4*m**4 + 368*m**3/3 + 448*m**2 + 3*m + 133. Factor a(d).
-4*(d - 4)*(d + 2)**2*(d + 14)
Find n such that 2/3*n**3 + 4/3*n**2 + 0 - 2*n = 0.
-3, 0, 1
Let