 - 36*d + 4. Let j(m) = -35*g(m) - 5*o(m). Factor j(w).
5*(w - 9)*(w - 2)*(w - 1)
Determine z, given that 330*z - 4*z**4 + 225 - 30*z**3 + 27*z**3 - 7*z**3 + 80*z**2 - z**4 + 20*z**2 = 0.
-3, -1, 5
Let c = -39344 + 433126/11. Suppose 104/11*l**4 + 54/11 - 16/11*l**5 - 268/11*l**3 + c*l**2 - 216/11*l = 0. What is l?
1, 3/2
Let w(d) be the third derivative of -d**8/72 - 2*d**7/21 + 5*d**6/36 + 65*d**2 + 24. Let w(v) = 0. What is v?
-5, 0, 5/7
Solve -82/3*z**2 - 4/3*z**3 + 0 + 44*z = 0 for z.
-22, 0, 3/2
Let x be 10/(-405) - (-116966)/150984. Suppose 0 + x*p**4 - 3/4*p**2 - 3/4*p + 3/4*p**3 = 0. What is p?
-1, 0, 1
Find t such that -2*t**3 + 0 - 1744/5*t + 4364/5*t**2 = 0.
0, 2/5, 436
Let y(s) = -4 - 5*s + 31*s + 37 - 27 - 30. Let d be y(1). Factor -4/3*g + 2/3*g**d + 2/3.
2*(g - 1)**2/3
Let m(o) be the second derivative of -o**4/6 - 137*o**3 - 2*o + 50. Determine h so that m(h) = 0.
-411, 0
Determine l so that -22/7*l**2 + 34/7*l**3 - 2*l - 20/7*l**5 + 2*l**4 + 8/7 = 0.
-1, -4/5, 1/2, 1
Factor -1/2*u**5 - 2*u**4 + 0 + 0*u**3 + 8*u**2 + 8*u.
-u*(u - 2)*(u + 2)**3/2
Let i(t) = -3*t + 11. Let n be i(-11). Let m be 5/2 + (-6)/12. Let 16*c - n*c + 98 + m*c**2 + 0*c = 0. What is c?
7
Let f be (-3)/(180/(-356)) + 198/(-27) + 6. Factor 1/5*x**4 + 2/5*x**3 - 24/5*x - f*x**2 + 144/5.
(x - 3)**2*(x + 4)**2/5
Suppose i + 2*z - 6 - 30 = 0, 0 = 5*i + 3*z - 201. Suppose 27*o = i*o. Suppose 4/3*t**4 + 0 + 2/3*t**2 + o*t - 5/3*t**3 - 1/3*t**5 = 0. Calculate t.
0, 1, 2
Let b(q) = q**3 - 5*q**2 + 7*q - 10. Let x be b(4). Factor 5*o + 3*o - o - 3*o - o**x + 5.
-(o - 5)*(o + 1)
Let -b**2 - 1276*b - 713833 - 569315 - 2648*b + 6*b**2 - 8*b**2 = 0. Calculate b.
-654
Let y = -518 - -530. Find z such that 29*z + 37*z - 54 + 3*z - y*z + 0*z - 3*z**2 = 0.
1, 18
Let y(w) = -4*w**3 - 10*w**2 - 3*w + 21. Let q(p) = -7*p**3 - 18*p**2 - 4*p + 41. Let o = -406 - -403. Let r(z) = o*q(z) + 5*y(z). Factor r(v).
(v - 2)*(v + 3)**2
Suppose -3*v = 2*y + 36, -y + 3*v - 318 = -354. Let -273/4*d**4 + 309/4*d**3 - 3*d - 6*d**2 + y = 0. What is d?
-2/13, 0, 2/7, 1
Let r(h) be the third derivative of -h**6/600 + 4*h**5/75 - 8*h**4/15 + 2*h**2 - 11*h - 1. What is j in r(j) = 0?
0, 8
Let t(h) be the third derivative of 0*h + 0 + 219*h**2 - 3/8*h**4 - 13/9*h**3 - 1/180*h**5. Let t(i) = 0. What is i?
-26, -1
Let s be (-8086)/(-63) - ((-24)/16)/(7/((-140)/(-135))). Determine w, given that -69/7*w**2 + 480/7*w - s + 3/7*w**3 = 0.
3, 10
Suppose -29*h = -2*c - 32*h + 36, 5*c - 4*h + 25 = 0. Factor 0 + 10/3*o**2 + 0*o**c - 5/3*o**5 - 10/3*o**4 + 5/3*o.
-5*o*(o - 1)*(o + 1)**3/3
Factor -192*r + 32/5*r**2 + 4/5*r**3 + 0.
4*r*(r - 12)*(r + 20)/5
Let h(r) be the second derivative of r**7/21 + 2*r**6/3 + 16*r**5/5 + 16*r**4/3 + 170*r + 1. Find n, given that h(n) = 0.
-4, -2, 0
Let b(c) = c**3 + 5*c**2 - 2. Let a be b(-4). Suppose r = j + 6, 0*r + 5*j = r - a. Factor -2*t**2 - 2*t**2 + 33*t**4 - 29*t**r.
4*t**2*(t - 1)*(t + 1)
What is t in -9*t + 4 - 29184*t**2 + 29188*t**2 + t = 0?
1
Let b(s) be the second derivative of -7*s**5/5 + 47*s**4/3 + 1400*s**3/3 + 392*s**2 - 7962*s. Factor b(h).
-4*(h - 14)*(h + 7)*(7*h + 2)
Suppose 0 = z + 5*n + 1159 - 327, 4*z + 2*n = -3310. Let s = 10757/13 + z. Find d, given that 10/13*d**3 + 0 - s*d**4 - 2/13*d + 6/13*d**2 - 8/13*d**5 = 0.
-1, 0, 1/4, 1
Let h(q) be the first derivative of -3*q**4/4 - 8*q**3 + 183*q**2/2 - 156*q + 4590. Solve h(r) = 0.
-13, 1, 4
Suppose -2*m + 16 = 3*c, 6*m = 8*m - 5*c + 16. Let a be m - 0 - ((-154)/(-49) + -4). Solve -16/7 - a*u - 4/7*u**2 = 0 for u.
-4, -1
Determine j, given that -108 + 108*j**2 - 82*j**3 - 4*j + 9*j**3 + 77*j**3 = 0.
-27, -1, 1
Let u = 264857/4 + -66200. Suppose -3/2 + 63/4*r**2 + 15/4*r + u*r**3 + 15/4*r**4 = 0. Calculate r.
-2, -1, 1/5
Let a be 7/(-1050)*-15 - (-518)/(-4880). Let g = a - -3919/2440. Let -2/5*x**5 - 8/5*x**3 - 4/5*x**2 + g*x**4 + 2*x - 4/5 = 0. What is x?
-1, 1, 2
Let i = 765 + -754. Let o be (((-297)/126)/i)/((-1)/12). Solve 0 + o*v**3 + 2/7*v**4 + 48/7*v**2 + 32/7*v = 0.
-4, -1, 0
Find t, given that 44/3 + 10/3*t**3 + 124/3*t**2 + 158/3*t = 0.
-11, -1, -2/5
Let r(l) be the second derivative of l**6/120 - l**5/8 - 7*l**4/4 - 25*l**3/6 + 37*l. Let n(v) be the second derivative of r(v). Solve n(h) = 0 for h.
-2, 7
Suppose 2*r + 35 = 5*o + 7*r, o = 3*r - 5. Solve 20*l**3 - 5*l**4 + 2*l**4 - 20 - 20*l - o*l**2 - 12*l**4 + 39*l**2 = 0 for l.
-1, -2/3, 1, 2
Let k(w) be the third derivative of -1/1080*w**6 + 0 + 7/2*w**3 + 1/180*w**5 - 1/72*w**4 + 0*w + 10*w**2. Let j(a) be the first derivative of k(a). Factor j(i).
-(i - 1)**2/3
Let o be (1/(-9))/((-4235)/315 + 13). Suppose 1/2*i**3 + o*i**4 - i**2 - 2*i + 0 = 0. What is i?
-2, 0, 2
Suppose 793*u**3 - 375*u**4 - 11874*u**2 + 11479*u**2 + 10*u - 33*u**3 = 0. What is u?
0, 2/75, 1
Factor 30*v**3 - 44 + 114*v - 23*v**4 - 154*v**2 + 56*v**2 + 21*v**4.
-2*(v - 11)*(v - 2)*(v - 1)**2
Let y(z) = 2*z**4 - z**2 - z. Let f(n) = 4*n**5 - 22*n**4 - 28*n**3 + 22*n**2 + 24*n. Let m(a) = -f(a) - 12*y(a). Determine v so that m(v) = 0.
-3, -1/2, 0, 1, 2
Let g(q) be the third derivative of 1/40*q**6 - 2 + 3/10*q**5 + 0*q + 0*q**3 + 0*q**4 + 9*q**2. Factor g(i).
3*i**2*(i + 6)
Determine y, given that 0 - 11560/7*y + 2*y**5 - 612/7*y**4 + 8630/7*y**3 - 37944/7*y**2 = 0.
-2/7, 0, 10, 17
Let j = -775/2 + 2405/6. Let t(w) be the third derivative of 1/12*w**5 + 5/3*w**4 + 0 + j*w**3 - 14*w**2 + 0*w. Factor t(i).
5*(i + 4)**2
Suppose -2*i = -5*x + 7, 6*x - 2*i = 7*x - 11. Factor -33*u**2 - 5*u**5 - 12*u**2 - 45*u + 5*u**3 + 20*u**4 + 5*u**x - 15*u**2.
-5*u*(u - 3)**2*(u + 1)**2
Let r(x) be the first derivative of 5*x**6/9 + 44*x**5/15 - 9*x**4/2 - 128*x**3/9 - 20*x**2/3 - 674. Find b, given that r(b) = 0.
-5, -1, -2/5, 0, 2
Let 0*y**3 + 0*y + 0 + 0*y**4 + 3/7*y**5 + 0*y**2 = 0. What is y?
0
Suppose -3*b + 34 = 1. Suppose 0 = b*q - 320 + 298. Find u, given that -1/6*u**4 - 3/2*u**q - 1/3 + 7/6*u + 5/6*u**3 = 0.
1, 2
Let f(t) be the third derivative of 1/120*t**5 + 1/8*t**4 + 0 - 54*t**2 - 1/240*t**6 + 0*t**3 + 0*t. Find g, given that f(g) = 0.
-2, 0, 3
Let z be 1*5*2/20. Let a be (2/((-160)/(-115)) + -1)*(-344)/(-1204). Factor -a*g**2 + 3/8*g + z.
-(g - 4)*(g + 1)/8
Let z(a) = 6*a - 270. Let r be z(49). Solve -1587*j**2 - 6*j**4 + 28*j**5 - 49*j**3 + 1567*j**2 - 6*j**4 - 35*j**3 + r*j = 0 for j.
-1, 0, 3/7, 2
Solve -2/9*c**2 - 54*c + 0 = 0 for c.
-243, 0
Let l(k) be the second derivative of k**6/10 + 99*k**5/20 + 357*k**4/4 + 1339*k**3/2 + 1521*k**2 - 1670*k. Determine n, given that l(n) = 0.
-13, -6, -1
Let g = -188/427 - -1179/1708. Factor g*m**2 + 23/4 - 6*m.
(m - 23)*(m - 1)/4
Let c = 2239/805050 + -1/1789. Let b(v) be the third derivative of 1/900*v**6 + 0*v - 1/15*v**3 - c*v**5 + 6*v**2 - 1/36*v**4 + 0. Factor b(f).
2*(f - 3)*(f + 1)**2/15
Let b(c) be the third derivative of -c**6/120 - c**5/60 + 2*c**4/3 - 10*c**3/3 + 38*c**2 + 1. Solve b(k) = 0 for k.
-5, 2
Let -388*b**4 + 129 + 203*b**4 - 1780*b - 9 - 135*b**3 + 1410*b**2 + 115*b**4 = 0. Calculate b.
-6, 1/14, 2
Suppose -45 = -14*f + 11. Find w, given that -17*w + w**5 + 3*w**4 + 10*w**f + 14*w**2 - 7*w**4 - 10*w**4 + 6 = 0.
-2, 1, 3
Let c(d) = -249*d - 30. Let i be c(-2). Determine b so that i - 199 - b**2 - 220 - 48*b = 0.
-49, 1
Let w = 84 + -59. Let c(u) = 7*u**3 + 22*u**2 + 3*u - 38. Let y(n) = -85*n**3 - 265*n**2 - 35*n + 460. Let k(h) = w*c(h) + 2*y(h). Factor k(o).
5*(o - 1)*(o + 2)*(o + 3)
Let h(j) = 39*j**2 + 195*j - 54. Suppose -10 + 7 = 3*g. Let t(i) = i**2 + i - 1. Let u(k) = g*h(k) + 12*t(k). Factor u(w).
-3*(w + 7)*(9*w - 2)
Let n = 11/6376 + 229481/31880. Factor -1/5*t**3 - 13/5*t**2 - 48/5*t - n.
-(t + 1)*(t + 6)**2/5
Factor -15*v**2 + 1 - 21*v**2 - 22*v**2 - 25*v**2 - 8*v + 74*v**2.
-(v + 1)*(9*v - 1)
Solve 12*t - 413*t**3 + 109*t**3 + 44 + 405*t - 83*t - 32*t**4 + 558*t**2 = 0.
-11, -1/4, 2
Let r be (-300)/12 - -30 - 3. Factor 2/9*k**3 + 10/3*k - 14/9*k**2 - r.
2*(k - 3)**2*(k - 1)/9
Let l(z) be the third derivative of -86*z**2 - 15/8*z**4 - z - 13*z**3 + 0 - 1/20*z**5. Factor l(p).
-3*(p + 2)*(p + 13)
Let r be 393/270 + (-126)/(-2835). Let h(u) be the first derivative of 0*u - r*u**2 - 25 - 1/8*u**4 - 5/6*u**3. Determine k so that h(k) = 0.
-3, -2, 0
Let k(m) be the first derivative of -4/3*m**3 + 22