s) = 7*i(s) - 5*p(s). Factor a(v).
-2*(v + 109)**2
Let n be (-14)/12*(-5)/(1260/27). Let y(b) be the first derivative of -1/4*b**3 - n*b**2 + 1/2*b - 7. Factor y(r).
-(r + 1)*(3*r - 2)/4
Factor 0 - 216/13*q**2 + 2/13*q**3 + 5832/13*q.
2*q*(q - 54)**2/13
Let m(g) be the first derivative of g**4/12 + 40*g**3/9 + 200*g**2/3 - 20. Factor m(h).
h*(h + 20)**2/3
Let 2226*f**2 + 309*f**3 + 12*f**4 - 81 - 700 - 83 + 2880*f = 0. Calculate f.
-12, -2, 1/4
Determine z, given that 272/5*z**2 + z**3 + 106/5 + 373/5*z = 0.
-53, -1, -2/5
Suppose b - 4 = 5*p, -b - 19 = 3*p - 23. Determine m so that 0 + 0*m**3 - 2/11*m**2 + 0*m + 2/11*m**b = 0.
-1, 0, 1
Let y be (-5)/11*(-30)/50. Let p(j) be the first derivative of 2/11*j + 2/11*j**3 + 2 - 1/22*j**4 - y*j**2. Let p(t) = 0. Calculate t.
1
Let z be 0/32*(2/3 + -1). Let r(l) be the first derivative of 8/5*l**5 - 1/2*l**6 + 7 + 0*l + z*l**2 + 2/3*l**3 - 7/4*l**4. Determine y, given that r(y) = 0.
0, 2/3, 1
Suppose 33 = 5*w + 3. Solve -w*g**3 - 23*g**3 - 5*g**4 + 39*g**3 = 0 for g.
0, 2
Let o(g) = 13*g**2 - g. Let c be o(2). Suppose 10*i = -0*i + c. Factor 0*d**2 + 0*d**4 + 4/9*d**3 - 2/9*d - 2/9*d**i + 0.
-2*d*(d - 1)**2*(d + 1)**2/9
Let u(b) be the second derivative of -1/4*b**4 + 1/20*b**6 + 6*b - 3/40*b**5 + 0 + 0*b**3 + 0*b**2. Factor u(p).
3*p**2*(p - 2)*(p + 1)/2
Let f(r) be the third derivative of -13*r**5/300 + r**4/120 - 50*r**2 - 2. What is w in f(w) = 0?
0, 1/13
Suppose 5*z + 3*q - 2*q = 10, -3*z = 4*q + 11. Let -4 + r**z + 2 + r**2 - 2 - 4*r = 0. What is r?
-2, -1, 2
Suppose 4*h - 8*h = -5*h. Let l be (9/12)/((-2)/(-4)). Determine x so that -3/2*x**3 + h + 3*x + l*x**2 = 0.
-1, 0, 2
Let a be 171/(-3) + (-15)/(-5). Let x = a - -75. Determine u, given that 21*u + 5 + 2 + u**4 - 1 + 9*u**2 - x*u**3 - 16*u**4 = 0.
-1, -2/5, 1
Let o(l) = 8*l**2 - 2. Let a be o(-1). Let -23*n + 3*n**3 + 18*n**2 - a*n**3 - n = 0. Calculate n.
0, 2, 4
Suppose -p = 2*h - 9, -h - 7 = -2*h - p. Determine n, given that 1 - 9 + 40*n**3 + 24*n**h + 4 - 6*n = 0.
-1/2, 2/5
Let q(u) be the first derivative of -4 - 1/8*u**3 - 1/4*u**2 + 5*u - 1/48*u**4. Let o(j) be the first derivative of q(j). Determine g so that o(g) = 0.
-2, -1
Let b(n) be the second derivative of -n**7/42 + 3*n**6/5 - 25*n**5/4 + 104*n**4/3 - 110*n**3 + 200*n**2 - 222*n. Let b(y) = 0. What is y?
2, 4, 5
Suppose 22*t + 234 = 24*t. Let i = 120 - t. Determine w so that -10*w + 7*w**2 - 3/2*w**i + 4 = 0.
2/3, 2
Let b = 3 + -1. Let d be ((-12)/2)/((-8)/4). Factor 6*g**3 + 6*g**d - 10*g**3 + b*g**3 - 4*g**4.
-4*g**3*(g - 1)
Let x = 10 + -23. Let g(d) = -d**2 - 7*d - 4. Let w(j) be the third derivative of j**5/30 + 5*j**4/8 + 3*j**3/2 - j**2. Let i(t) = x*g(t) - 6*w(t). Factor i(q).
(q - 1)*(q + 2)
Let i = -195 - -200. Suppose d + 2 = z, 2 = z + i*d - 0*d. Factor 0*c**z + 0 + 2/7*c**5 - 2/7*c**3 + 0*c**4 + 0*c.
2*c**3*(c - 1)*(c + 1)/7
Let f = -154 + 328. Suppose 22*b - 20*b = f. Factor -12*o**3 - 12*o**2 + 3*o**4 - 87*o + b*o + 3*o**5.
3*o**2*(o - 2)*(o + 1)*(o + 2)
Let w(v) be the first derivative of -23 - 8*v + 2/3*v**3 - 1/2*v**4 + 4*v**2. Factor w(h).
-2*(h - 2)*(h - 1)*(h + 2)
Let s(x) = -3*x**2 - x. Let m(i) be the second derivative of 7*i**4/12 + i**3/2 + 6*i. Suppose 2*n - 1 = 3. Let j(z) = n*m(z) + 5*s(z). Factor j(y).
-y*(y - 1)
Let v be ((-12)/15*-3)/((-28)/((-26880)/324)). Find d such that 74/9*d**3 + 0*d - 20/9*d**2 + 0 - v*d**4 + 10/9*d**5 = 0.
0, 2/5, 1, 5
Let s(y) be the second derivative of -y**6/165 + y**5/22 + 25*y**4/66 - 5*y**3/33 - 24*y**2/11 - 28*y. Solve s(j) = 0.
-3, -1, 1, 8
Let i(o) = 17*o**3 + 3*o**2 - 62*o - 63. Let m(l) = -225*l**3 - 40*l**2 + 805*l + 820. Let c(h) = -40*i(h) - 3*m(h). Solve c(s) = 0.
-3, -1, 4
Suppose -11*g - 71 = 17. Let u be (-36)/16*g/(-18)*-3. Factor 2/17*m**4 + 12/17*m**2 - 8/17*m - 8/17*m**u + 2/17.
2*(m - 1)**4/17
Let z be (36/(-210))/(3081/520 + -6). Let 8/7*m + z*m**2 + 0 - 10/7*m**4 - 2*m**3 = 0. What is m?
-2, -2/5, 0, 1
Let d(z) be the first derivative of -z**4/18 - 10*z**3/27 - 8*z**2/9 - 8*z/9 - 7. Let d(u) = 0. Calculate u.
-2, -1
Let y(k) be the first derivative of 4*k**6/45 + 14*k**5/75 - 7*k**4/15 - 58*k**3/45 - 8*k**2/15 + 8*k/15 + 299. Determine h, given that y(h) = 0.
-2, -1, 1/4, 2
Let g(l) = l**3 - l**2 + 2*l + 1. Let a(h) = -13*h**3 - 108*h**2 - 59*h - 7. Let r(p) = -2*a(p) + 22*g(p). Solve r(b) = 0 for b.
-3, -2/3, -3/8
Let q = 2/5097 + 5089/20388. Factor -5/4*n**2 + 0 - q*n**4 + n**3 + 1/2*n.
-n*(n - 2)*(n - 1)**2/4
Let g(a) be the third derivative of -a**7/70 + 3*a**6/40 + a**5/2 + 38*a**2 + 3. Factor g(o).
-3*o**2*(o - 5)*(o + 2)
Suppose -2*x - 3*x = r - 2562, -4*x = 3*r - 2054. What is u in -27*u**2 + x + 4*u**2 + u**3 + u**3 - 39*u**2 + 448*u = 0?
-1, 16
Let u(y) be the second derivative of 2/45*y**5 + 2/3*y**2 + 0 - 4/27*y**3 + 7*y - 4/27*y**4 + 2/135*y**6. Factor u(g).
4*(g - 1)**2*(g + 1)*(g + 3)/9
Let n = -1/1066 - -22391/5330. Factor n*u**2 - 21/5*u + 6/5 - 6/5*u**3.
-3*(u - 2)*(u - 1)*(2*u - 1)/5
Let i(p) = -p**2 + 9*p + 14. Let x be i(10). Factor -2*l**2 + 8*l + 9 - x - 11.
-2*(l - 3)*(l - 1)
Let s = -250076/13 - -19238. Factor 0 - 4/13*u**2 + s*u**4 + 6/13*u**3 + 0*u.
2*u**2*(3*u - 1)*(3*u + 2)/13
Factor -2/5*j - 1/5*j**2 + 0.
-j*(j + 2)/5
Let j(c) be the second derivative of 0 + 9*c - 15/2*c**3 - 25/8*c**4 - 6*c**2. Determine m, given that j(m) = 0.
-4/5, -2/5
Let h(t) be the first derivative of 2*t**3/63 - 22*t**2/21 + 242*t/21 - 104. Factor h(g).
2*(g - 11)**2/21
Let t(k) be the first derivative of -2/45*k**5 - 1/27*k**6 + 4/27*k**3 - 2/9*k - 1/9*k**2 - 21 + 1/9*k**4. Suppose t(d) = 0. Calculate d.
-1, 1
Let q(j) = -7*j + 44. Let s be q(6). Let k(n) be the second derivative of -1/5*n**2 + 0*n**5 + 0 - 1/75*n**6 + 1/15*n**4 - s*n + 0*n**3. Factor k(p).
-2*(p - 1)**2*(p + 1)**2/5
Factor -40/13*g + 42/13 - 2/13*g**2.
-2*(g - 1)*(g + 21)/13
Let j(p) be the first derivative of 2*p**3/3 - 158*p**2 - 644. Suppose j(q) = 0. What is q?
0, 158
Factor 43/2*h - 7/2*h**2 - 3.
-(h - 6)*(7*h - 1)/2
Let h = 35/398 + 2143/2786. Solve 9/7*i**2 + 0 + h*i = 0 for i.
-2/3, 0
Let f(l) = -6*l + 2. Let y be f(-1). Let d(n) = -n**2 + 6*n + 8. Let b be d(6). Factor 3*o**4 - 5*o**4 + y*o**4 - b*o**3 + 2*o**2.
2*o**2*(o - 1)*(3*o - 1)
Let s be (-141)/(-378) - 2/72*-2. Factor 0 + 30/7*q**3 - 9/7*q + s*q**2.
3*q*(2*q - 1)*(5*q + 3)/7
Let y = 46 - 38. Suppose -3*i + 55 = y*i. Factor -d**4 + d**3 + 0 - 1/3*d**2 + 0*d + 1/3*d**i.
d**2*(d - 1)**3/3
Let w(x) be the second derivative of x**4/78 - 38*x**3/39 + 361*x**2/13 + 85*x. Suppose w(u) = 0. What is u?
19
Let r(t) be the second derivative of t**4/32 - 9*t**3/16 + 21*t**2/8 - 9*t - 4. Factor r(u).
3*(u - 7)*(u - 2)/8
Let u(p) be the first derivative of 4*p**3/3 + 116*p**2 + 448*p - 4. Let u(y) = 0. Calculate y.
-56, -2
Let c(d) be the third derivative of d**8/112 + 9*d**7/70 + 29*d**6/40 + 43*d**5/20 + 15*d**4/4 + 4*d**3 - d**2. Suppose c(a) = 0. What is a?
-4, -2, -1
Let v be 32 + (-1 - (-1 - -2)). What is t in -9*t - 9*t**2 + 26*t**2 - 14*t**2 - v = 0?
-2, 5
Find m, given that 5*m**4 + 40*m**2 - 43 - 40 - 206*m**3 - 74*m + 31 + 278*m**2 + 9*m**4 = 0.
-2/7, 1, 13
Let i = 1720 - 1716. Let z(u) be the second derivative of 0*u**2 + 1/30*u**i + u + 0 + 1/15*u**3. Factor z(w).
2*w*(w + 1)/5
Let k(l) be the first derivative of -16*l**2 + 0*l - 4*l**4 + 64/3*l**3 + l**6 - 16/5*l**5 + 31. Determine t, given that k(t) = 0.
-2, 0, 2/3, 2
Solve 3/5*t**4 + 0 - 42/5*t**3 + 15*t**2 - 36/5*t = 0 for t.
0, 1, 12
Let h = 21 + -19. Let b be h*(55/10)/11. Factor 0*x - 1/4*x**2 + b.
-(x - 2)*(x + 2)/4
Let q be (12/(-3 + -3))/(51/(-12) - -3). Find z, given that -6/5*z - q + 2/5*z**2 = 0.
-1, 4
Let k(f) be the first derivative of -f**6/960 + f**5/96 + f**4/32 - 27*f**2/2 - 4. Let y(v) be the second derivative of k(v). Suppose y(z) = 0. What is z?
-1, 0, 6
Suppose 3*x - n = -3*n - 38, 4*x + 52 = -4*n. Let d(q) = -q**3 - 13*q**2 - 13*q - 12. Let l be d(x). Factor 1/4 + l*u - 1/4*u**2.
-(u - 1)*(u + 1)/4
Find i, given that -49*i**4 + 104*i**4 - 595*i**2 - 5*i**5 - 490*i + 56*i**3 - 101*i**3 = 0.
-2, -1, 0, 7
Let t(f) be the first derivative of -f**4/22 - 10*f**3/33 + 118*f**2/11 - 224*f/11 - 335. Factor t(o).
-2*(o - 8)*(o - 1)*(o + 14)/11
Let d(r) be the first derivative of -r**6/2520