2*(m - 196)*(m - 4)/7
Let w(x) be the first derivative of 2*x**3/3 + 60*x**2 - 122*x - 1273. Let w(y) = 0. Calculate y.
-61, 1
Let t(j) = j**3 - 5*j**2 + j - 3. Let h be t(5). Factor -4*s**h + 18 - 12 + 30.
-4*(s - 3)*(s + 3)
Let s(a) be the second derivative of a**4/48 + 57*a**3/4 + 85*a**2 + 71*a + 11. Factor s(u).
(u + 2)*(u + 340)/4
Let y(w) be the first derivative of -5/6*w**6 - 35/2*w**4 - 220 + 0*w - 40/3*w**3 + 0*w**2 - 7*w**5. Find j such that y(j) = 0.
-4, -2, -1, 0
Let o = 593 + -587. Suppose -5*f + 4*t = -6, -5*f + o*t - 8*t = -12. Suppose -1/3*g**f + 0*g + 4/3 = 0. What is g?
-2, 2
Solve 0*x - 588/5*x**2 + 0 + 266/5*x**3 - 8*x**4 + 2/5*x**5 = 0 for x.
0, 6, 7
Let d be ((-2)/8*0)/((-2)/2). Let x(b) be the third derivative of 0*b**5 - 1/525*b**7 - 1/150*b**6 + 4*b**2 + 0*b**4 + 0 + d*b**3 + 0*b. Factor x(n).
-2*n**3*(n + 2)/5
Suppose -o - 3*p + 7 = -0, -2*p + 22 = 5*o. Suppose 5*y = -l + 37 + 67, -o*y = 5*l - 79. Factor 2*t**2 - y*t + 24 + 2*t**2 + t.
4*(t - 3)*(t - 2)
Let y(h) be the first derivative of -3*h**5/25 - 69*h**4/20 + 87*h**3/5 + 621*h**2/10 - 2106*h/5 + 7353. Determine l, given that y(l) = 0.
-26, -3, 3
Let q be 7/(-3) + (145 - -125)/54. Solve 16/3*p + q*p**2 + 1/3*p**3 + 0 = 0.
-4, 0
Suppose 347*q + 24 = 353*q. Let h be (q/(-15))/(75/(-375)). Factor -2/3*b**3 - h + 4/3*b**2 + 2/3*b.
-2*(b - 2)*(b - 1)*(b + 1)/3
Let r be ((20/(-50) + 1)/(4/(-20)))/(-1). Determine i, given that 0*i - 5/4*i**5 + 0 - 45/4*i**r - 5*i**2 - 15/2*i**4 = 0.
-4, -1, 0
Suppose -1748*c + 763876/5 + 5*c**2 = 0. What is c?
874/5
Let p(y) be the second derivative of 37/6*y**4 + 15*y**3 + 1/15*y**6 + 0 + 18*y**2 + 8*y + 11/10*y**5. Factor p(n).
2*(n + 1)**2*(n + 3)*(n + 6)
Let x(b) be the second derivative of -b**5/165 + 13*b**4/132 - 2*b**3/11 - 115*b**2/2 - 17*b - 1. Let j(c) be the first derivative of x(c). Factor j(p).
-2*(p - 6)*(2*p - 1)/11
Let j(l) be the third derivative of 31*l**6/480 - 51*l**5/80 - 49*l**4/24 - l**3/2 - 9985*l**2. Determine w, given that j(w) = 0.
-1, -2/31, 6
Let q(c) be the second derivative of c**4/3 - 1174*c**3/3 - 109*c + 63. Factor q(s).
4*s*(s - 587)
Factor -2*i**3 + 67 - 125 + 58 - 46*i**2.
-2*i**2*(i + 23)
Suppose 6*z - 13*z + 35 = 0. Let r be (-2 + 3)/1 + -4 + z. Factor 8/7*b + 1/7*b**r + 16/7.
(b + 4)**2/7
Let i be (1/2)/((366/36)/61). Let a(f) be the third derivative of 15*f**2 - 5/12*f**4 + 5/6*f**i + 1/12*f**5 + 0*f + 0. Determine k, given that a(k) = 0.
1
Factor -11*d**2 + 23*d**2 + 140*d**4 - 6*d**3 + 24*d - 143*d**4.
-3*d*(d - 2)*(d + 2)**2
Suppose 5435 + 16*d**5 - 8875*d**2 - 181034*d**2 - 1528*d**4 + 152647*d - 18567 + 33913*d**3 - 45519*d - 36874*d**2 = 0. What is d?
1/4, 14, 67
Find a, given that -172*a - 1268*a**2 - 4*a**4 + 1280*a**2 + 45*a**3 - 120 + 50*a**3 - 35*a**3 = 0.
-1, 2, 15
Let i be 3 + (2507/138 - 19 - (-3)/18). Factor 2 + 1/3*k**2 - i*k.
(k - 6)*(k - 1)/3
Suppose 4*w - 2*i + 550 = 608, 79 = 4*w - 3*i. Find x such that -40/9 - 94/9*x**2 + 128/9*x - 4/9*x**5 - 16/9*x**3 + 26/9*x**w = 0.
-2, 1/2, 1, 2, 5
Suppose m = -152 + 142. Let l be -1 + 0 + (450/(-27))/m. Factor -4/9*d**2 + 0*d + l*d**5 + 0 + 8/9*d**4 - 2/9*d**3.
2*d**2*(d + 1)**2*(3*d - 2)/9
Let m(c) be the second derivative of 9*c**5/20 - 43*c**4/4 + 7*c**3 + 750*c. Factor m(t).
3*t*(t - 14)*(3*t - 1)
Let i = 9415 - 9415. Let k(g) be the third derivative of 1/525*g**7 - 1/150*g**6 + 1/30*g**4 - 1/15*g**3 - 14*g**2 + i*g + 0 + 0*g**5. Factor k(p).
2*(p - 1)**3*(p + 1)/5
Let c(b) = -9*b**3 - 52*b**2 - 49*b - 15. Let s(o) = -2*o**3 - o + 2. Let i(a) = -a**3 + 1. Let r(m) = i(m) - s(m). Let q(h) = -c(h) + 3*r(h). Factor q(t).
4*(t + 1)*(t + 3)*(3*t + 1)
Factor -10/3*a**2 + 4*a**3 + 8/9*a - 14/9*a**4 + 0.
-2*a*(a - 1)**2*(7*a - 4)/9
Let t(l) be the second derivative of -1/150*l**5 + 11*l + 1/2*l**3 + 0 - 1/450*l**6 + 0*l**2 + 0*l**4. Let n(q) be the second derivative of t(q). Factor n(k).
-4*k*(k + 1)/5
Let b(k) be the first derivative of 9*k**5/80 + 19*k**4/16 + 33*k**3/8 + 27*k**2/8 - 253*k - 193. Let a(u) be the first derivative of b(u). Factor a(y).
3*(y + 3)**2*(3*y + 1)/4
Let i(r) be the first derivative of 120 - 6/11*r**3 - 23/11*r**2 - 30/11*r - 1/22*r**4. Suppose i(f) = 0. Calculate f.
-5, -3, -1
Let u(c) be the third derivative of 0 - 17/96*c**6 + 35/16*c**5 - 1375/96*c**4 + 15*c**2 + 1/168*c**7 + 625/12*c**3 + 0*c. Factor u(f).
5*(f - 5)**3*(f - 2)/4
Let m(a) be the first derivative of 92/21*a**3 - 116/7*a**2 - 12/35*a**5 - 77 + 22/7*a**4 + 64/7*a. Solve m(t) = 0.
-2, 1/3, 1, 8
Let l(u) be the second derivative of u**6/6 + 3*u**5/2 - 80*u**3/3 - 4*u - 105. Determine h so that l(h) = 0.
-4, 0, 2
Let l(z) be the first derivative of -z**4/24 - 82*z**3/9 - 325*z**2/12 - 27*z + 1419. Factor l(o).
-(o + 1)**2*(o + 162)/6
Let n(l) be the first derivative of -l**6/90 + l**5/10 - l**4/3 - 14*l**3 - 1. Let v(i) be the third derivative of n(i). Determine t, given that v(t) = 0.
1, 2
Let q be 84/(-266) + 872/836. Let i = -32 - -34. Let 32/11 - 32/11*s - 2/11*s**4 + q*s**3 + 0*s**i = 0. Calculate s.
-2, 2
Let i(j) = -65*j - 1168. Let y be i(-18). Suppose -8/3*t**y - 4*t + 4/3*t**3 + 0 = 0. What is t?
-1, 0, 3
Let t(d) = 13*d**4 - 176*d**3 - 1501*d**2 - 12*d + 4. Let p(h) = -2*h**4 - h**3 - h**2 + 3*h - 1. Let k(z) = -4*p(z) - t(z). Solve k(m) = 0 for m.
-7, 0, 43
Factor -512/13*y**2 - 2/13*y**3 + 0 - 510/13*y.
-2*y*(y + 1)*(y + 255)/13
Let 21*a**2 - 1416*a + 27*a**2 + 1462*a + 2*a**3 = 0. Calculate a.
-23, -1, 0
Suppose 2*m - 26 = -3*n, 278 = 3*m - 3*n + 284. Let d(k) be the first derivative of 4*k**3 - 4*k**m + 0*k**2 + 0*k + 4/5*k**5 - 32. Factor d(t).
4*t**2*(t - 3)*(t - 1)
Let y(p) = 101*p**3 + 4461*p**2 - 3216*p - 1292. Let d(r) = 292*r**3 + 13382*r**2 - 9647*r - 3874. Let a(c) = -6*d(c) + 17*y(c). Determine s so that a(s) = 0.
-128, -2/7, 1
Let d = 384 + -374. Suppose -46 - d = -28*y. Factor 1 - 1/2*s - 1/2*s**y.
-(s - 1)*(s + 2)/2
Let c(y) be the third derivative of y**8/840 - 17*y**7/1050 + 23*y**6/300 - 7*y**5/75 - 2*y**4/5 + 3*y**3/2 - 278*y**2. Suppose c(l) = 0. What is l?
-1, 1, 5/2, 3
Let f be 5700/640 + (-9)/1. Let b = f - -51/32. Factor 1/2*l**2 - 2 - b*l.
(l - 4)*(l + 1)/2
Suppose -p = 2*p. Suppose 3*u + p = 6. Factor -10 + 0*m - 4*m + 3*m**u - m + 2*m**2.
5*(m - 2)*(m + 1)
Find x such that 772/7*x - 22/7*x**3 + 114/7*x**2 - 144/7 = 0.
-4, 2/11, 9
Let f(k) be the third derivative of -2/3*k**3 + 1/36*k**4 + 1/90*k**5 - 2*k**2 + 0 + 0*k. Factor f(c).
2*(c - 2)*(c + 3)/3
Factor 22 + 13 - 29*f - 11*f + 16 - 16 + 5*f**2.
5*(f - 7)*(f - 1)
Let q(s) be the second derivative of 5/12*s**4 + 1/4*s**5 - 2 + 0*s**3 + 0*s**2 + 8*s. Factor q(w).
5*w**2*(w + 1)
Suppose 4*d + 5 = 4 + 17. Let g(u) be the third derivative of 24*u**2 + 0 + 20/3*u**3 + 1/2*u**5 + 0*u - 1/24*u**6 - 5/2*u**d. Factor g(x).
-5*(x - 2)**3
Let p(z) be the third derivative of -5*z**8/672 + 47*z**7/420 - 73*z**6/240 - 83*z**5/120 + 7*z**4/8 + 2*z**2 - 108*z + 9. Determine u, given that p(u) = 0.
-1, 0, 2/5, 3, 7
Let w(m) be the first derivative of -m**6/18 + 4*m**5 + 65*m**4/12 - 80*m**3/3 - 122*m**2/3 + 5832. Determine j so that w(j) = 0.
-2, -1, 0, 2, 61
Let i(h) be the first derivative of 3*h**2 - 17/6*h**3 - 29*h - 11 + 5/12*h**4. Let v(c) be the first derivative of i(c). Let v(n) = 0. What is n?
2/5, 3
Let i(m) be the first derivative of -m**3/2 - 183*m**2 + 2223*m/2 + 2160. What is a in i(a) = 0?
-247, 3
Let i be (2456/(-6))/(8/12). Let x = i + 614. Factor x - 3/7*z**4 + 0*z + 2/7*z**2 + 1/7*z**3.
-z**2*(z - 1)*(3*z + 2)/7
Factor 2246*v - 6857*v + 2232*v - 84 - 14*v**3 + 2255*v - 65*v**2 - v**4.
-(v + 2)**2*(v + 3)*(v + 7)
Factor -3267/4*n**2 + 0*n - 3/4*n**3 + 0.
-3*n**2*(n + 1089)/4
Let h(m) = -11*m**2 - 585*m - 583. Let n(k) = -12*k**2 - 3*k. Let j(t) = -h(t) + n(t). Determine f so that j(f) = 0.
-1, 583
Let s = 366982 + -64588493/176. Let v = -25/16 + s. Factor v*l + 0 - 14/11*l**2 + 18/11*l**3 + 2/11*l**5 - 10/11*l**4.
2*l*(l - 2)*(l - 1)**3/11
Suppose -6*r = 22*r - 84. Suppose -33 = -10*m - r. Find g such that 2/3 - 1/3*g**4 + g - 1/3*g**2 - g**m = 0.
-2, -1, 1
Let v(h) be the first derivative of -4*h**3/3 - 9*h**2/2 + 9*h + 533. What is x in v(x) = 0?
-3, 3/4
Let f(g) be the first derivative of -5*g**3/18 + 1505*g**2/4 + 2260*g/3 + 6058. What is z in f(z