+ z(b). Factor y(r).
4*r*(r + 22)
Let a = -105 - -95. Let z be (2 - a/(-5)) + 20/16. Find g such that 3/2*g + z + 1/4*g**2 = 0.
-5, -1
Let u(j) be the third derivative of j**7/840 - j**6/60 - j**5/120 + j**4/4 - 77*j**3/6 - 12*j**2 + 2. Let v(q) be the first derivative of u(q). Factor v(x).
(x - 6)*(x - 1)*(x + 1)
Suppose 0 = -16*v + 17*v - 2. Factor -22*w - 4*w**3 + 4 + 3*w**3 + 34*w - 3*w**4 + v*w**3 - w**5 + 11*w**2.
-(w - 2)*(w + 1)**3*(w + 2)
Let h be ((-1)/20)/(-105*27/7560). Factor 2/3*j - h*j**2 - 8/15.
-2*(j - 4)*(j - 1)/15
Let n(z) be the first derivative of 4*z**3/3 - 1308*z**2 + 427716*z + 3678. Find s, given that n(s) = 0.
327
Factor 0 - 42/5*u**3 - 48*u + 2/5*u**4 + 196/5*u**2.
2*u*(u - 15)*(u - 4)*(u - 2)/5
Let v(f) be the third derivative of f**8/2240 - f**7/140 + 3*f**4/4 - 27*f**2 + 2*f. Let q(m) be the second derivative of v(m). Solve q(w) = 0 for w.
0, 6
Let u(d) = -6*d**3 + 10*d**2 + 46*d - 133. Let j(h) = -5*h**3 + 11*h**2 + 44*h - 134. Let l(a) = -7*j(a) + 6*u(a). Suppose l(p) = 0. Calculate p.
-14, -5, 2
Let i be -2 - 7 - (-17)/(204/132). Let o(q) = q**2 - 3*q + 3. Let c be o(4). Find w such that 4*w + 0 - c*w**i + w**3 + 26*w - 8 - 16*w = 0.
1, 2, 4
Let 1/4*n**4 + 147*n + 155/2*n**2 - 234 + 37/4*n**3 = 0. Calculate n.
-26, -6, 1
Let g = -8 - -13. Suppose 9 = 4*c + 5*u - 30, 5*c - 105 = g*u. Factor -4*z**3 + 9*z**2 - 7*z**3 - 11*z**3 + c*z**3 + z**4.
z**2*(z - 3)**2
Factor 1/4*c**4 + 19*c + 7/2*c**3 + 53/4*c**2 + 9.
(c + 1)*(c + 2)**2*(c + 9)/4
Let z(k) be the third derivative of k**7/525 - 19*k**5/50 + 14*k**4/15 + 24*k**2 + 21*k + 2. Find n such that z(n) = 0.
-8, 0, 1, 7
Let c(h) be the second derivative of 4*h**7/21 - 2*h**6/3 - 9*h**5/5 + 11*h**4/3 + 38*h**3/3 + 12*h**2 + 237*h - 2. Suppose c(p) = 0. What is p?
-1, -1/2, 2, 3
Let g(j) be the second derivative of -1/36*j**4 + 21 - 2401/6*j**2 + 49/9*j**3 + j. Factor g(f).
-(f - 49)**2/3
Suppose 26*g = 86 + 44. Let c be (10/(-4)*-4)/1. Suppose -6*m - c*m + 11*m + g*m**3 = 0. Calculate m.
-1, 0, 1
Solve -460*r + 392*r**2 - 900 - 4*r**4 + 4/5*r**5 - 264/5*r**3 = 0.
-9, -1, 5
Let w(b) be the second derivative of -b**7/126 + b**6/18 - b**5/6 + 5*b**4/18 - 5*b**3/18 + b**2/6 - 2581*b. Factor w(z).
-(z - 1)**5/3
Let l(u) = 17*u**3 + 200*u**2 - 934*u + 981. Let t(s) = -8*s**3 - 100*s**2 + 466*s - 489. Let b(i) = 3*l(i) + 7*t(i). Determine f so that b(f) = 0.
-24, 2
What is q in -450*q - 135*q**2 - 43 - 10*q**3 - 18 + 5 - 141 - 208 = 0?
-9, -3, -3/2
Let o be ((-2580)/(-60))/(-1 + 2). Suppose -75*a**3 + 9*a**2 - 4*a**2 + 10*a**2 + o*a + 55*a**3 - 8*a = 0. What is a?
-1, 0, 7/4
Let q(i) be the second derivative of 5*i**4 + 29*i**3/3 - i**2 - 6*i + 1. Factor q(h).
2*(h + 1)*(30*h - 1)
Suppose -150*j + 65 + 211 + 24 = 0. Let k(w) be the first derivative of -1/3*w**5 - 7/12*w**4 + 0*w - j + w**2 + 1/18*w**6 + 5/9*w**3. Factor k(h).
h*(h - 6)*(h - 1)*(h + 1)**2/3
Let z = -2/511 - -519/2044. Let w(n) be the second derivative of 0 + 0*n**2 + 5/24*n**4 + z*n**3 - 1/5*n**5 + 39*n. Factor w(v).
-v*(v - 1)*(8*v + 3)/2
Let k be 1595/(-319) - (-7302)/72*3. Let 30*l - 30*l**3 - 3/4*l**4 + 300 - k*l**2 = 0. What is l?
-20, -1, 1
Suppose 28*i + 108 = -60. Let k(y) = -3*y**4 + 3*y**3 + 18*y**2 - 6. Let n(o) = -3*o**4 + 4*o**3 + 20*o**2 - 7. Let w(t) = i*n(t) + 7*k(t). Solve w(d) = 0.
-2, 0, 1
Let f be 2*17/(-34)*(4 + 15*-2). Let a(g) be the first derivative of 9/10*g**2 - f - 6/5*g - 1/5*g**3. Find j such that a(j) = 0.
1, 2
Let c(w) be the third derivative of 5*w**6/144 + 151*w**5/24 + 5775*w**4/16 + 3375*w**3/4 - 21*w**2 - 66*w. Determine y, given that c(y) = 0.
-45, -3/5
Suppose -25 = -2*i + 5*h + 27, -4*h - 96 = -5*i. Let t be -6*(-2)/i - 90/(-72). Factor 4*w - 2*w**2 + 4*w**3 + 5*w**2 + 3*w**t + 2*w**2.
4*w*(w + 1)**2
Let -60*g**2 - 272*g - g**5 - 236*g**2 - 96 + 7452*g**4 + 58*g**2 - 7430*g**4 - 42*g**3 + 3*g**5 = 0. What is g?
-12, -1, 4
Let h(t) = 4*t - 18. Let m be h(6). Suppose -g + 42 = 5*o, 0 = -m*o + 2*o - g + 33. Suppose -16*f**3 - 21*f**4 + 8*f**4 + o*f**4 + 20*f**2 = 0. What is f?
-5, 0, 1
Let u(s) be the second derivative of 7/48*s**4 + 0 + 3/2*s**2 + 236*s + 1/80*s**5 + 2/3*s**3. Factor u(c).
(c + 2)**2*(c + 3)/4
Let r(i) be the first derivative of -2*i**3/7 + 1390*i**2/7 - 926*i/7 - 106. Factor r(u).
-2*(u - 463)*(3*u - 1)/7
Suppose -5*h - 70 = 3*a - 4028, 2636 = 2*a + 2*h. Let q = -1313 + a. Find j such that 1/2*j - 1/4*j**q + 0 - 1/4*j**2 = 0.
-2, 0, 1
Let m(u) be the first derivative of -6*u - 14 + 19/2*u**3 - 3/2*u**4 - 33/4*u**2. Factor m(t).
-3*(t - 4)*(t - 1)*(4*t + 1)/2
Let g = 25383/20 + -1269. Let u(n) be the second derivative of -2/9*n**3 - 4/9*n**4 - 8*n + 0 + 0*n**2 + g*n**5. Suppose u(m) = 0. Calculate m.
-2/9, 0, 2
Let m(v) = 5*v**3 - 25*v**2 + 535*v - 55. Let h(j) = j**3 + 15*j + 1. Let o(a) = -20*h(a) + m(a). Determine f, given that o(f) = 0.
-5, 1/3, 3
Let z be (-8 - 36) + (22 - -22). Determine k, given that z*k + 0*k**2 + 0*k**3 + 1/2*k**4 + 0 = 0.
0
Suppose 5*x - 56 = 12*q, -4*x - 387 + 409 = -2*q. Determine j so that -6/5*j + 2/5*j**2 - x = 0.
-2, 5
Suppose 3*u = -570*y + 572*y - 42, 5*u + 10 = 0. Let x(i) be the first derivative of -6/7*i + 5/14*i**2 + 1/21*i**3 + y. Factor x(n).
(n - 1)*(n + 6)/7
Let m(a) = -90*a**2 + 5950*a - 4185. Let d(i) = -15*i**2 + 992*i - 696. Let p(h) = 25*d(h) - 4*m(h). Suppose p(u) = 0. What is u?
2/3, 66
Factor 1/6*c**4 + 19153*c**2 + 116281/6 + 340/3*c**3 - 115940/3*c.
(c - 1)**2*(c + 341)**2/6
Let t(g) be the first derivative of 0*g + 157 + 0*g**2 - 1/9*g**6 + 0*g**3 + 0*g**4 + 22/15*g**5. Find d such that t(d) = 0.
0, 11
Factor 336 + 67 - 22*w - 389*w + 4 - w**2 + 5.
-(w - 1)*(w + 412)
Let w be 77/7 + -7 + 7. Suppose -39*r**3 + w*r**3 + 32 - 36*r + 17*r**3 + 10*r**3 + 12*r**2 = 0. What is r?
2, 8
Let c be (8 - 88/9)*(-258)/688. Determine s, given that 0 + c*s**4 - 10/3*s**2 + 2*s + 2/3*s**3 = 0.
-3, 0, 1
Suppose -2*x = -7*h + 9*h + 264, 3*h - x = -392. Let f = 133 + h. Solve -10/11*a - 8/11 - 2/11*a**f = 0.
-4, -1
Suppose -4*z + 6*h = 58, -1004*z + 1007*z = -4*h + 50. Factor 0*o + 67/2*o**z + 0 - 1/2*o**3.
-o**2*(o - 67)/2
Suppose 3*k = -4*r + 17, 8*k + 3*r - 14 = 7*k. Let j be 6 - 0 - ((15 - 8) + k). Let -1/3*u**3 + 0*u**2 + j + 0*u + 1/3*u**4 = 0. Calculate u.
0, 1
Let r(u) be the first derivative of -2*u**4/3 - 38*u**3/9 + 5*u**2/3 + 1156. Determine l so that r(l) = 0.
-5, 0, 1/4
Let v(u) be the first derivative of -5*u**3/3 - 175*u**2/2 - 480*u - 383. Suppose v(p) = 0. What is p?
-32, -3
Let q(f) be the third derivative of 0*f - 1/4*f**3 - 40*f**2 - 1/140*f**7 + 0*f**4 + 0*f**6 + 0 + 1/20*f**5. Let q(i) = 0. Calculate i.
-1, 1
Let u(r) be the second derivative of 7*r**6/30 + 13*r**5/2 + 53*r**4 + 45*r**3 - 243*r**2/2 + 2899*r. Factor u(n).
(n + 1)*(n + 9)**2*(7*n - 3)
Let p(k) be the third derivative of k**7/1680 - 7*k**6/720 + k**5/16 - 3*k**4/16 - 119*k**3/6 - 56*k**2. Let n(i) be the first derivative of p(i). Factor n(g).
(g - 3)**2*(g - 1)/2
Let s be (-1446)/4*(-36)/(-27) - -6. Let y = s - -481. Factor 0*r**2 - 25/2*r**5 + 0 + 0*r - y*r**4 + 0*r**3.
-5*r**4*(5*r + 2)/2
Let y(g) = -135*g + 590. Let p be y(13). Let c = p - -8157/7. Determine s so that -c*s + 2/7*s**3 - 6/7 + 6/7*s**2 = 0.
-3, -1, 1
Let -157/4*z**2 + 1/4*z**4 - 105/4*z + 72 - 27/4*z**3 = 0. What is z?
-3, 1, 32
Let v(b) = b**2 + 12*b + 39. Let p be v(-6). Find f such that 3*f**p + 27*f**2 + 60*f - 9*f**2 - 36*f = 0.
-4, -2, 0
Let d be 31/(-2)*(-2144)/16616. Solve -1/6*h**2 - d - 13/6*h = 0.
-12, -1
Let s be 9/4 + 7*17/476. Factor 5/2*r**3 - 5/2*r**5 + 0 + s*r**2 + 0*r - 5/2*r**4.
-5*r**2*(r - 1)*(r + 1)**2/2
Suppose 3*l - 27 = 6*l. Let s = l - -34. Factor s - 5 + 10*x**2 - 16*x - 14*x**2.
-4*(x - 1)*(x + 5)
Let n be 90/36*(-16)/(-10). Let -29*q**2 + 2*q - 4*q**4 - 12*q**3 + 17*q**2 + 0*q**n - 6*q = 0. Calculate q.
-1, 0
Let y(r) = r. Let c(s) = s**2 + 6*s. Suppose -6*k + 2*k + 28 = 0. Let f = 2 - k. Let n(p) = f*c(p) + 35*y(p). Factor n(t).
-5*t*(t - 1)
Let z = -58 + 116. Let -33*q**3 - 63*q**2 - 7*q**5 + 4*q**5 + z + 0*q**5 - 58 + 27*q**4 = 0. Calculate q.
-1, 0, 3, 7
Let -46*x**2 - 219*x**2 - 4*x**4 - 196*x + 10*x**3 - 131*x**2 - 214*x**3 + 0*x**4 = 0. Calculate x.
-49, -1, 0
Let s = -38828 - -3106243/80. Let h(o) be the second derivative of 