actor v(g).
-2*(g - 5)**2/5
Let m be 5 + (5*(-3266)/575)/6. Factor -2/5*c - 2/3*c**2 + m.
-2*(c + 1)*(5*c - 2)/15
Suppose -8*d = 964 - 276. Let v be (d/(-473))/(1 - 0). Factor v*m**3 + 0 - 2/11*m**2 + 2/11*m**4 - 2/11*m**5 + 0*m.
-2*m**2*(m - 1)**2*(m + 1)/11
Let t = -2417 - -2419. Let m(j) be the first derivative of 10*j - 3*j**4 - 2/5*j**5 - 8/3*j**3 + 6*j**t - 18. What is s in m(s) = 0?
-5, -1, 1
Let v(a) = 3120*a - 46797. Let x be v(15). Solve -132/7*j + 72/7 - 4/7*j**5 - 8/7*j**4 + 32/7*j**2 + 40/7*j**x = 0 for j.
-3, 1, 2
Suppose -2 = 3*u + 4*a, 0*a + 1 = u + a. Determine r, given that -40*r**2 - u*r + 51*r - 9 + 1 + 3 = 0.
1/8, 1
Let 128/5 + 2/5*f**2 + 26*f = 0. Calculate f.
-64, -1
Suppose 22*y - 12060 = -11994. Find u such that -160/3*u**y - 16/3*u**2 + 1/3 + 10/3*u = 0.
-1/4, -1/10, 1/4
Let i = -363872/21 + 17328. Factor -2/3*o - i + 2/21*o**2.
2*(o - 8)*(o + 1)/21
Factor -2/19*w**2 - 3042/19 - 156/19*w.
-2*(w + 39)**2/19
Let i be (-76609)/(-47144) + 3/(-8). Let 45*v + 30*v**2 + 0 - 55/4*v**3 + i*v**4 = 0. What is v?
-1, 0, 6
Let l(j) = -j**3 + 7*j**2 + 7*j + 12. Let m be l(8). Solve 268*r - 3*r**2 - m - 283*r - 14 = 0 for r.
-3, -2
Let z(a) = 1682*a**2 - 232*a + 22. Let b(k) = -841*k**2 + 116*k - 12. Suppose 5*t - 2 + 1 = w, w = 4*t. Let h(j) = w*z(j) + 7*b(j). Factor h(g).
(29*g - 2)**2
Suppose 2*j = j + 3. Factor -22*v**2 + 0*v**3 + 19*v**2 + 3*v**4 + 2*v**j - 2*v.
v*(v - 1)*(v + 1)*(3*v + 2)
Let k(u) be the first derivative of -9/14*u**4 - 2/7*u**2 + 2/3*u**3 + 2/7*u**5 + 0*u - 74 - 1/21*u**6. Determine h so that k(h) = 0.
0, 1, 2
Let h = -11 + 11. Suppose -5*z = -h*z - 330. Let 33*u**2 + 20*u**3 + 45 + 144*u + z*u + 5*u**2 + 87*u**2 = 0. Calculate u.
-3, -1/4
Let p(h) = 15*h**2 + 84*h - 147. Let g(y) = -7*y**2 - 42*y + 76. Let d(i) = 9*g(i) + 4*p(i). Factor d(b).
-3*(b - 2)*(b + 16)
Let n(t) be the third derivative of t**7/1785 - 2*t**6/255 - 11*t**5/510 + 3*t**4/34 + 18*t**2 - 10*t. Factor n(h).
2*h*(h - 9)*(h - 1)*(h + 2)/17
Let u(d) be the third derivative of -7 + 7/100*d**5 + 9/10*d**3 - 3/8*d**4 - 2*d**2 - 1/200*d**6 + 0*d. Let u(a) = 0. What is a?
1, 3
Let b(z) be the second derivative of z**5/140 - 43*z**3/42 + 3*z**2 - 2*z - 145. Factor b(i).
(i - 6)*(i - 1)*(i + 7)/7
Factor 4/5*i**4 + 9/10*i**3 + 0 - 1/10*i**5 + 0*i**2 + 0*i.
-i**3*(i - 9)*(i + 1)/10
Suppose 3*z = -9, 3*j - 15 = 2*z + 9. Suppose 2*k = 4*y - 16, y + 2*k = 3*y - j. Factor -16*q**2 - q - 8*q**4 + 16*q**2 + 0*q + 6*q**3 + 3*q**y.
q*(q - 1)**3*(3*q + 1)
Let m(w) be the third derivative of -w**5/60 + 5*w**4/24 + 6*w**3 - 2552*w**2. Factor m(v).
-(v - 9)*(v + 4)
Suppose 2*o - 2 = 5*i + 17, -15 = 5*i. Factor 6063*j - 4*j**2 + 114 - 6012*j + j**o.
-3*(j - 19)*(j + 2)
Let c be 22/132*((0 - -3) + 0). Let r(f) be the first derivative of -28 + 1/10*f**5 + 5/4*f**2 - f - 1/8*f**4 - c*f**3. Determine i, given that r(i) = 0.
-2, 1
Let z = -74 - -76. Suppose 211*o**5 - 29*o - 90*o**3 - 19*o + 41*o**2 + 57*o**z + 38*o**4 + 8 - 217*o**5 = 0. Calculate o.
1/3, 1, 2
Factor -14*z - 53*z + 2*z**2 + 2*z + 112 + 5*z.
2*(z - 28)*(z - 2)
Let l = 456 - 1237. Let a = 783 + l. Determine k so that 0 + 3/4*k - 1/4*k**a = 0.
0, 3
Let r(b) = -600*b - 1198. Let g be r(-2). Let d(a) be the third derivative of -13*a**g - 1/150*a**5 + 0 + 4/15*a**4 + 0*a - 64/15*a**3. Factor d(f).
-2*(f - 8)**2/5
Let h(f) be the third derivative of -f**7/15120 - f**6/720 - 5*f**4/2 - 19*f**2. Let j(s) be the second derivative of h(s). What is u in j(u) = 0?
-6, 0
Find k such that 1850*k - 6*k**2 + 11*k**2 - 6915*k + 3687 + 9288 - 2865 = 0.
2, 1011
Let o(d) be the third derivative of -d**5/15 - 3*d**4/2 + 20*d**3/3 + 772*d**2. Suppose o(v) = 0. Calculate v.
-10, 1
Factor 154*q**3 + 5*q**4 + q**3 + 725*q**2 + 1060*q + 520 - 35*q**2.
5*(q + 1)*(q + 2)**2*(q + 26)
Let g(s) be the second derivative of -s**6/80 + 3*s**5/4 + 371*s**4/32 + 309*s**3/8 + 54*s**2 + s + 1354. Determine r so that g(r) = 0.
-6, -1, 48
Factor 6696991*v - 222*v**4 + 3*v**5 - 6696991*v + 219*v**3.
3*v**3*(v - 73)*(v - 1)
Let w(d) be the first derivative of -d**5/15 - 13*d**4/12 - 13*d**3/3 - 9*d**2/2 - 5599. Factor w(s).
-s*(s + 1)*(s + 3)*(s + 9)/3
Let i be (1 - (-11)/(-7))/((-6)/21). Let g be (i - 5)/(9/(-12)). Factor -103*v**3 - 19*v**2 + 7*v**2 - g*v**4 + 16 - 16*v + 51*v**3 + 68*v**3.
-4*(v - 2)**2*(v - 1)*(v + 1)
Let d(b) be the third derivative of -1/100*b**5 + 1/20*b**4 + 67 + 0*b - 1/100*b**6 + 0*b**3 + 1/350*b**7 - b**2. Let d(i) = 0. What is i?
-1, 0, 1, 2
Let h(u) = 36*u**2 - 395*u + 350. Let p be h(10). Let 17/5*g + p - 1/5*g**2 = 0. What is g?
0, 17
Suppose -780*n - 1893*n = -5346. Factor -3/4*l**n + 0 - 33/2*l.
-3*l*(l + 22)/4
What is p in -1/2*p**5 + 32*p**2 + 0*p + 0 + 6*p**4 + 30*p**3 = 0?
-2, 0, 16
Suppose 0 = -18*l + 20*l. Suppose -4*b + l = -12. Factor -3*i**4 + 25*i**5 + 2*i**2 - b*i + 3*i**3 + 1 - 24*i**5 - i**3.
(i - 1)**4*(i + 1)
Find v, given that -6305/4*v + 65/4*v**2 + 5/4*v**3 + 6235/4 = 0.
-43, 1, 29
Let w(s) = -3*s**3 + 21*s**2 - 57*s + 36. Let n(f) = -6*f**3 + 43*f**2 - 114*f + 72. Let u = 44 - 47. Let c(j) = u*n(j) + 5*w(j). Let c(l) = 0. Calculate l.
1, 3, 4
Let p(n) be the second derivative of n**5/4 - 245*n**4/2 + 975*n**3/2 - 730*n**2 + 967*n. Determine j, given that p(j) = 0.
1, 292
Let i = -62306 - -436169/7. Determine a so that i*a**2 + 0*a + 24/7*a**3 - 3/7*a**4 + 0 = 0.
-1, 0, 9
Let o be (-30)/12*(-13)/390. Let a(y) be the second derivative of o*y**4 + y + 0 + y**2 - 1/2*y**3. What is g in a(g) = 0?
1, 2
What is y in -75 - 3765*y - 189003/4*y**2 = 0?
-10/251
Let z = 249 + -241. Solve 30 - 8*o + 2*o**2 - z*o - 7*o**2 + 11*o = 0 for o.
-3, 2
Let l(m) be the third derivative of -3*m**6/160 - 47*m**5/30 - 1295*m**4/32 + 147*m**3/4 - 143*m**2. Let l(o) = 0. What is o?
-21, 2/9
Let w(x) = x**5 + x**4 + x**2 + 3*x + 2. Let f(g) = -44*g**5 - 96*g**4 + 28*g**3 + 88*g**2 - 96*g - 40. Let v(y) = -f(y) - 20*w(y). Solve v(t) = 0.
-3, -3/2, 0, 1/3, 1
Let l(p) be the second derivative of -p**7/8400 - p**6/1440 - p**5/600 - 19*p**4/4 - 59*p. Let m(z) be the third derivative of l(z). Factor m(f).
-(f + 1)*(3*f + 2)/10
Let n(f) be the second derivative of 25/84*f**4 + 1/294*f**7 - 3/70*f**6 + 1/28*f**5 - 8/7*f**2 - 1/7*f**3 - 28 - 3*f. Find j, given that n(j) = 0.
-1, 1, 2, 8
Let s = -11 + 13. Let w(a) = 6*a + 3 + 6*a + 15*a + 24*a**s + 8. Let u(d) = -24*d**2 - 26*d - 10. Let t(k) = -7*u(k) - 6*w(k). Factor t(f).
4*(2*f + 1)*(3*f + 1)
Let i = 111 - 171. Let y = i - -62. Find v, given that -v**2 - 5*v**2 + 0*v**y + 9*v - 18*v + 3*v**3 = 0.
-1, 0, 3
Factor -48/11*t + 128/11 - 12/11*t**2 + 2/11*t**3.
2*(t - 8)*(t - 2)*(t + 4)/11
Let 384/5 + 7808/5*u**2 - 64/5*u**5 - 32/5*u**4 + 3324/5*u**3 + 656*u = 0. What is u?
-6, -2, -1/4, 8
Suppose -2*g + 32 = -4*m, g - 481 + 463 = m. Solve 9/4*c + 3/4*c**4 + 0 - 9/4*c**3 - 3/4*c**m = 0 for c.
-1, 0, 1, 3
Let -2/5*l**2 + 0 + 74/5*l = 0. Calculate l.
0, 37
Let d(c) be the second derivative of -5*c**7/12 + 23*c**6/15 + 233*c**5/40 - 85*c**4/12 + 2*c**3 - 3649*c. Let d(i) = 0. Calculate i.
-2, 0, 1/5, 3/7, 4
Let q(c) = 65*c**2 + 995*c + 6845. Let g be (3 + -13)*(-2 - (-21)/6). Let v(a) = 9*a**2 + 142*a + 978. Let w(r) = g*v(r) + 2*q(r). Factor w(m).
-5*(m + 14)**2
Let g(u) = 3*u**3 + 25*u**2 - 193*u - 643. Let t(f) = -f**3 - 8*f**2 + 64*f + 220. Let m(r) = -4*g(r) - 13*t(r). Determine q, given that m(q) = 0.
-6, 8
Let p(w) be the second derivative of -w**7/14 + w**6 + 3*w**5 - 50*w**4 - 320*w**3 - 768*w**2 + 694*w. What is a in p(a) = 0?
-2, 8
Let d be 12/14 + (-14250)/(-6650). Let y(w) be the third derivative of 1 + 1/15*w**4 - 36*w**2 + 0*w - 4/15*w**d - 1/150*w**5. Solve y(r) = 0 for r.
2
Factor 35912/7*m**3 + 0 + 18/7*m - 1608/7*m**2.
2*m*(134*m - 3)**2/7
Let g(p) be the third derivative of -p**5/15 + 9*p**4/2 - 280*p**3/3 + 686*p**2. Solve g(a) = 0.
7, 20
Let 558*d - 104 - 31*d + 13*d**2 - 15*d**2 - 159 = 0. What is d?
1/2, 263
Suppose -343 - 1273 = 16*y. Let f = -807/8 - y. Suppose -9/8 + 17/8*m - f*m**3 - 7/8*m**2 = 0. Calculate m.
-9, 1
Let q(i) be the second derivative of -i**5 + 0*i**2 - 1/15*i**6 + 30*i + 11/6*i**4 + 0 + 0*i**3. Factor q(p).
-2*p**2*(p - 1)*(p + 11)
Suppose 5*p + p + 36 = 0. Let r(y) = -y**2 - 9*y - 18. Let w be r(p). Suppose -2/5*z**5 - 4/5*z**4 + 0*z