, 6
Let y(x) = 3382*x + 33820. Let r be y(-10). Suppose 0*a + r + 2/15*a**2 = 0. What is a?
0
Let a = 705379 - 1410757/2. Find q, given that a*q**2 + 66*q + 2178 = 0.
-66
Let k be (-90)/(-25) - ((-26)/(-130) + 4/10). Let 9/4*x**5 + 0*x - 6*x**3 - k*x**2 - 3/4*x**4 + 0 = 0. Calculate x.
-1, -2/3, 0, 2
Let i(b) be the third derivative of -b**8/171360 + b**7/21420 + b**6/408 + 7*b**5/6 - b**4/24 - 20*b**2. Let j(z) be the third derivative of i(z). Factor j(m).
-2*(m - 5)*(m + 3)/17
Let t(w) be the first derivative of -w**4/38 - 48*w**3/19 - 812*w**2/19 - 4263. Factor t(c).
-2*c*(c + 14)*(c + 58)/19
Let u(q) = -q**2 + 4*q + 34. Let r be u(8). Factor -44*y + 12*y - 35*y - 5*y - y**r - 324 - 3*y**2.
-4*(y + 9)**2
Let x(s) be the second derivative of s**7/21 - 7*s**5/10 + s**4 - 1435*s. Let x(u) = 0. Calculate u.
-3, 0, 1, 2
Let q = 4599 - 4595. Let m(g) be the first derivative of -3/10*g**5 - 1/8*g**6 + 0*g**3 - 11 + 0*g**2 - 3/16*g**q + 0*g. Factor m(p).
-3*p**3*(p + 1)**2/4
Factor -342/7*c**2 - 2/7*c**3 - 6048 - 2160*c.
-2*(c + 3)*(c + 84)**2/7
Let g be ((-1)/(105/413) - -3)/((-833)/(-170) + -5). Solve -37*m**4 + 0 + 106/3*m**3 + g*m**5 - 8/3*m + 4*m**2 = 0 for m.
-2/7, 0, 1/4, 2
Let k(s) = s**2 - 6*s - 21. Let q be k(9). Factor 5*n**3 - 88*n**4 + 183*n**4 - q*n**2 - 94*n**4.
n**2*(n - 1)*(n + 6)
Let r(y) be the third derivative of -y**7/560 + 11*y**6/80 - 43*y**5/160 + 1379*y**2. Factor r(b).
-3*b**2*(b - 43)*(b - 1)/8
Factor -1/9*n**2 + 542/9*n - 73441/9.
-(n - 271)**2/9
Let k be -7*(4 + 54/(-7)). What is x in 24*x**2 - 66*x**2 + 6 + 4*x**3 + k*x**2 - 4*x + 10 = 0?
-1, 1, 4
Suppose -17*s = -120*s - 26*s + 516. Let h(y) be the third derivative of -4/27*y**3 - 8*y**2 + 1/180*y**6 + 1/9*y**s - 11/270*y**5 + 0*y + 0. Factor h(r).
2*(r - 2)*(r - 1)*(3*r - 2)/9
Let p(v) = -7*v**2 - 22*v + 2. Let y be 0 + -22*(-3)/(-2). Let g = y + 35. Let z(i) = 15*i**2 + 45*i - 5. Let c(n) = g*z(n) + 5*p(n). Factor c(t).
-5*t*(t + 4)
Let p(k) be the third derivative of 0*k**3 + 0*k**4 + 1/12*k**6 + 1/12*k**5 + 0*k + 1/42*k**7 - 68*k**2 + 0. Factor p(a).
5*a**2*(a + 1)**2
Let b(d) = 7*d**2 - 19*d + 19. Let f be b(9). Let j = f + -55. Determine h, given that -78*h**3 - 1 - 3*h**3 - j*h**2 - 148*h - 15 = 0.
-4, -2/9
Let j(m) be the third derivative of m**5/420 + m**4/21 + 689*m**2. Determine i so that j(i) = 0.
-8, 0
Let a(c) be the third derivative of c**5/20 + 91*c**4/4 - 183*c**3/2 - 50*c**2. Suppose a(w) = 0. What is w?
-183, 1
Let g = 139 - -11. Let y = g + -150. Suppose -1/3*q**2 + y*q + 0 - 1/3*q**4 + 2/3*q**3 = 0. What is q?
0, 1
Find p, given that 900 - 271*p**2 - 68*p + 480*p**2 - 54*p - 5*p**3 + 2*p - 364*p**2 = 0.
-30, -3, 2
Suppose 5*d - 4*d = 12. Let k = 21 - d. Factor -4*r**2 - 3*r**2 + 3*r**2 - k*r + r.
-4*r*(r + 2)
Suppose -2*g + 256 - 224 = 4*x, 2*g = 2*x - 10. Suppose 121 + 37/4*z**g + 99*z - 9/2*z**3 + 1/4*z**4 = 0. What is z?
-2, 11
Let c be 241 + 5 + 4 - 4/(-4). Factor c*p**2 - 267*p**2 + 4*p**3 - 2*p**4 - 14*p**3 - 8*p + 0*p**4.
-2*p*(p + 1)*(p + 2)**2
Let s(w) = 177*w**2 + 12*w - 15. Let d be s(-5). Determine t, given that 61587 - 14754*t + 56325 + 306*t**2 + d*t - 3*t**3 = 0.
34
Let t(c) be the third derivative of c**5/36 - 55*c**4/36 - 115*c**3/18 + 6*c**2 + 125*c. Determine b so that t(b) = 0.
-1, 23
Let l(g) be the second derivative of -g**7/21 + 2*g**6/5 - 4*g**5/5 + 2733*g. Factor l(b).
-2*b**3*(b - 4)*(b - 2)
Suppose -6*o = -2*o - 8. Let g be (-11)/(-2) - (105/10)/7. Factor 2*x + x**2 - x**2 + 2*x**o + g + 4*x.
2*(x + 1)*(x + 2)
Let n(b) be the second derivative of -b**5/110 + 17*b**4/66 - 92*b**3/33 + 160*b**2/11 - 14*b + 73. Find g, given that n(g) = 0.
4, 5, 8
Let n(g) be the first derivative of g**5/5 + 20*g**4 + 379*g**3/3 + 150*g**2 - 3345. Determine w so that n(w) = 0.
-75, -4, -1, 0
Suppose 12*h = 135 - 135. Suppose h = -b - 3, 0 = 8*z - 3*z + 5*b + 5. Factor 2 + 1/3*y**z - 5/3*y.
(y - 3)*(y - 2)/3
Suppose -2603 = -204*a - 2195. Find d, given that -17/8*d - 1/8*d**a + 0 = 0.
-17, 0
Let g(f) = 2*f - 32. Let z be g(17). Factor 27*c**3 - 889*c + 889*c + 4*c**4 + 6*c**z + 8*c**4.
3*c**2*(c + 2)*(4*c + 1)
Factor 44/9*j**3 - 476/9*j + 392/9 + 4/9*j**4 + 4*j**2.
4*(j - 2)*(j - 1)*(j + 7)**2/9
Let j(l) be the second derivative of -1/231*l**7 + 51*l - 2/11*l**2 - 3/11*l**3 + 0 - 8/33*l**4 - 2/55*l**6 - 7/55*l**5. Let j(g) = 0. Calculate g.
-2, -1
Let l(o) be the second derivative of 5*o**4/12 + 155*o**3/6 - 350*o**2 + 255*o - 2. Solve l(z) = 0.
-35, 4
Let f(r) be the second derivative of r**7/168 + r**6/4 - 117*r**5/20 + 63*r**4/2 + 2302*r. Find d such that f(d) = 0.
-42, 0, 6
Let u(l) = 9*l**3 + 332*l**2 - 354*l + 13. Let j(z) = -4*z**3 - 166*z**2 + 176*z - 6. Let i(d) = -13*j(d) - 6*u(d). Solve i(n) = 0.
0, 1, 82
Let q(u) be the first derivative of -33/16*u**4 - 29/20*u**5 - 17 - 5/4*u**3 - 1/4*u**2 + 0*u - 3/8*u**6. Factor q(a).
-a*(a + 1)**3*(9*a + 2)/4
Suppose 12*g = 23*g - 176. Suppose 0 = g*v - 9*v. Factor 9*m**3 + 351*m**2 + 2 - 339*m**2 + v - 11*m.
(m + 2)*(3*m - 1)**2
Factor -18*o + o**2 + 498 - 138*o - 190.
(o - 154)*(o - 2)
Factor 3169/7*w**2 + 470/7*w**3 + 9024/7*w + 25/7*w**4 + 9216/7.
(w + 3)**2*(5*w + 32)**2/7
Let x = 82 + -62. Let -x - 36*u**2 + 61*u**2 + 20*u - 30*u**2 = 0. Calculate u.
2
Find m such that -24/7*m**3 + 27/7*m - 3/7*m**5 - 30/7*m**4 + 0 + 30/7*m**2 = 0.
-9, -1, 0, 1
Suppose 3 = -37*n + 38*n. Let f(u) be the second derivative of 0 - 2*u**5 + 14/3*u**n - 25*u - 4*u**2 - 1/3*u**4. Suppose f(i) = 0. What is i?
-1, 2/5, 1/2
Let j = -256047/64 - -4001. Let f = 811/320 + j. Find i such that -f*i**2 - 4/5 + 18/5*i = 0.
2/7, 1
Let a(t) be the second derivative of t**6/90 + 203*t**5/60 + 850*t**4/3 - 578*t**3 + 29*t - 17. Factor a(h).
h*(h - 1)*(h + 102)**2/3
Let b(w) = w**4 - 10*w**3 - 180*w**2 - 224*w. Let s(j) = -3*j**3 - 60*j**2 - 75*j. Let u(q) = -3*b(q) + 8*s(q). Solve u(h) = 0 for h.
-2, 0, 6
Factor -86 + 79 - 332*d - 231 - 2*d**2 - 125 + 33.
-2*(d + 1)*(d + 165)
Let d(y) = y - 14. Let q be d(18). Suppose -v + 4*m = -19, q*v + m + 0*m - 8 = 0. Solve -a**5 - 18*a**5 + 79*a**v + 10*a - 24*a**3 - a**5 - 45*a**2 = 0.
-2, 0, 1/2, 1
Let q(i) be the first derivative of -2*i**3/33 - 28*i**2/11 + 1322. Solve q(x) = 0 for x.
-28, 0
Let l(n) be the third derivative of n**10/75600 - 11*n**9/30240 + n**8/1008 + 4*n**5/5 + 48*n**2. Let o(y) be the third derivative of l(y). Factor o(x).
2*x**2*(x - 10)*(x - 1)
Let v = -50 + 52. Let s be (-8)/v - (-54)/9. Factor 4/7*u + 0 - 3/7*u**3 - 2/7*u**4 + 1/7*u**5 + 4/7*u**s.
u*(u - 2)**2*(u + 1)**2/7
Let p(i) = 7*i**4 + 3*i**3 - 10*i**2 + 6*i - 6. Let a = -246 + 252. Let z(y) = y**4 - y**3 + y - 1. Let d(n) = a*z(n) - p(n). Solve d(m) = 0.
-10, 0, 1
Let a(n) be the third derivative of -n**8/1512 - 4*n**7/315 - n**6/36 + 136*n**5/135 + 83*n**4/9 + 80*n**3/3 - 4*n**2 - 2*n - 147. Solve a(g) = 0.
-6, -4, -1, 5
Factor 1/7*h**4 + 75 - 20/7*h**3 + 146/7*h**2 - 460/7*h.
(h - 7)*(h - 5)**2*(h - 3)/7
Let n be 33/(-27) + 8/36 - -9. Suppose n*a - 11*a = -72. Find k such that 6*k**4 + 3*k**3 - a*k**3 + 6 - 12*k**2 + 15*k - 9*k**3 + 15*k**5 = 0.
-1, -2/5, 1
Suppose 3*p - 5*t + 11 = 0, 0 = 4*t - 12 - 4. Let s(v) be the second derivative of 0 - 2/11*v**2 - 1/66*v**4 + 1/11*v**p - 7*v. Factor s(w).
-2*(w - 2)*(w - 1)/11
Let w(j) be the second derivative of -2*j**6/105 + 806*j**5/35 - 163213*j**4/21 + 216008*j**3/7 - 323208*j**2/7 - 3211*j. Factor w(f).
-4*(f - 402)**2*(f - 1)**2/7
Let t(f) be the second derivative of f**6/6 - 771*f**5/4 - 3865*f**4/12 + 1285*f**3/2 + 1930*f**2 + 2*f + 295. Factor t(q).
5*(q - 772)*(q - 1)*(q + 1)**2
Let o be (0/(-3))/(-5 + 0) - 0. Let t = -665 + 1331/2. Factor o + t*y**2 + 2*y.
y*(y + 4)/2
Let u(q) be the third derivative of 1/12*q**5 - 3*q**2 + 0 + 15/8*q**4 + 0*q**3 + 0*q. Let u(t) = 0. Calculate t.
-9, 0
Let t(x) be the third derivative of -5*x**8/336 + 10*x**7/21 - 73*x**6/24 - 81*x**5/2 + 675*x**4/2 + 4500*x**3 - 16*x**2 - 119*x. Find q, given that t(q) = 0.
-3, 6, 10
Let m(o) be the first derivative of o**3/4 + 303*o**2/4 - 79. Solve m(n) = 0 for n.
-202, 0
Let c = -282448/45 - -29687/5. Let n = -339 - c. Factor 0*u + 0 - n*u**2 - 2/9*u**3.
-2*u**2*(u + 1)/9
Suppose -30*v + 35*v = 175. Let w = -30 + v. Find j such that j**4 - 4*j**5 - w*j**5 - j - j**2 + 10