u = -585 - -586. Let b(s) = u*v(s) - 5*g(s). Let b(d) = 0. What is d?
-1, 20
Let i = -1/3435 + 10993/3435. Let d = 13/50 + 127/50. Factor -i*k - 2/5*k**2 - d.
-2*(k + 1)*(k + 7)/5
Suppose -65*j = -1112 + 267. Let g = -5 + 25. Suppose 10*q**5 + g*q - 53*q**2 + 25*q**4 + j*q**2 + 10 + 14*q**3 + 5 - 44*q**3 = 0. Calculate q.
-3, -1, -1/2, 1
Factor -2/9*h**2 - 428738/9 - 1852/9*h.
-2*(h + 463)**2/9
Let w be (6/34232)/(0 - 4/(-33136)). Let c = 1/389 + w. Find v such that -c*v - 32/11 - 2/11*v**2 = 0.
-4
Suppose 4*k - 3*z - 280 = 2*z, 248 = 4*k + 3*z. Let x be 10/((-20)/(-8)*4/k). Factor -38 + x + d**2 - 35 + 10*d - 3*d**2.
-2*(d - 4)*(d - 1)
Let x = 988249 - 2964643/3. Suppose -414*c**2 + 972*c - 2/3*c**4 + 0 - x*c**3 = 0. Calculate c.
-27, 0, 2
Suppose 87*h - 151 = 371. Let u(m) be the third derivative of -1/15*m**5 - 5/14*m**4 + 0 - 1/210*m**h - 6/7*m**3 + 0*m - 9*m**2. Solve u(q) = 0.
-3, -1
Solve 2/5*z**5 - 202/5*z**3 - 4*z**4 - 272/5 - 572/5*z**2 - 664/5*z = 0 for z.
-2, -1, 17
Let q(u) = 6*u**2 - 14601*u + 8974384. Let a(d) = -57*d**2 + 138702*d - 85256649. Let m(x) = 5*a(x) + 48*q(x). Factor m(v).
3*(v - 1223)**2
Let x(h) = 8*h**4 - 2*h**3 - 57*h**2 + 109*h - 51. Let s(n) = 7*n**4 - n**3 - 57*n**2 + 107*n - 50. Let f(k) = 7*s(k) - 6*x(k). Factor f(r).
(r - 4)*(r - 1)**2*(r + 11)
Solve 716*q**3 + 80*q**4 - 22075*q**2 - 22476*q**2 + 42871*q**2 + 882*q + 2*q**5 = 0.
-21, 0, 1
Factor -872/5 + 2/5*h**3 - 1742/5*h - 868/5*h**2.
2*(h - 436)*(h + 1)**2/5
Let a be (72/(-7))/(-1)*(8/30)/((-266)/(-931)). Solve -2/5*s**2 - a - 10*s = 0 for s.
-24, -1
Suppose -j + 7403 = 2*a, -4*j + 14499 = -5*a - 15139. Factor -3*q**2 + q**2 - 351*q - j - 396 - q**2 + 45*q.
-3*(q + 51)**2
Let v(u) be the first derivative of -2*u**5/55 - 105*u**4/22 + 214*u**3/11 - 323*u**2/11 + 216*u/11 + 8620. Suppose v(f) = 0. Calculate f.
-108, 1
Let p be ((6/4)/(-3))/((-51)/204) - -1. Let f(q) be the second derivative of -2/3*q**2 + 0*q**p + 0 + 1/9*q**4 - q. Determine k so that f(k) = 0.
-1, 1
Suppose -161*z**2 + 15*z**3 + 3*z**5 - 295*z + 264 + 187*z - 116*z**2 + 67*z**2 + 36*z**4 = 0. Calculate z.
-11, -2, 1, 2
Let l be 1/((-39)/42 + (2 - 1)). Suppose -l*x + 16 = -26. Suppose 15*i**3 - 33*i**3 + 3*i**2 + 15*i + 9*i**3 + 6*i**x + 9 = 0. Calculate i.
-1, 3
Let g = 50/9 - 73/18. Let z = -219958 + 219960. Factor g*j**z - 9*j + 27/2.
3*(j - 3)**2/2
Let q(c) be the second derivative of 2 + 8/21*c**3 - 8/7*c**2 - 21*c + 1/7*c**4 - 4/35*c**5 + 2/105*c**6. Factor q(p).
4*(p - 2)**2*(p - 1)*(p + 1)/7
Factor -235 + 233*g**2 - 350*g - 63 - 394 - 235*g**2.
-2*(g + 2)*(g + 173)
Let t(j) be the second derivative of -j**6/45 + 2482*j**5/15 - 1025893*j**4/3 - 12325612*j**3/9 - 6165289*j**2/3 + 132*j. Determine y so that t(y) = 0.
-1, 2483
Let v = -3 + 6. Let w(o) = -o**3 + 2*o**2 + 12. Let q be w(3). Solve 51*y**3 + 1 + 46*y**v - 3*y - 98*y**q + 3*y**2 = 0 for y.
1
Let t be 2 + 6778/(-4392) + (-4)/(-16). Let d = t + -16/61. Factor -2/9 - 2/9*j**2 - d*j.
-2*(j + 1)**2/9
What is c in 0 + 65*c + 32*c**2 - 1/4*c**3 = 0?
-2, 0, 130
Factor 0 + 2/9*j**2 + 632/9*j.
2*j*(j + 316)/9
Let j be (-258)/(-4) + (1155/22)/(-21). Let u be 86/387 - (j/36 + -2). Find w such that 3/4 - 1/4*w**2 - u*w = 0.
-3, 1
Let v = 120 - -180. Determine r so that 12*r**2 - 2004 - r**2 + v*r - 5*r**2 - 2496 - 11*r**2 = 0.
30
Let u = -4238/27 - -157. Let i(h) be the second derivative of 0 + u*h**4 - 2/9*h**2 + 0*h**3 - 11*h. Factor i(x).
4*(x - 1)*(x + 1)/9
Factor -2475*i - 631*i**3 - 615*i**3 - 638*i**3 + 1879*i**3 + 840*i**2.
-5*i*(i - 165)*(i - 3)
What is n in -4913*n**3 - 101202*n**5 + 1700*n**4 + 2615*n**2 + 140 - 101148*n**5 + 1520*n + 448*n**3 + 202190*n**5 = 0?
-1/4, -1/8, 2, 7
Let o(q) be the second derivative of q**5/40 - 161*q**4/24 + 79*q**3/2 - 150*q - 2. Factor o(n).
n*(n - 158)*(n - 3)/2
Suppose 5*h - 45 = 5*m, 4*h + 12*m = 10*m. Let u(a) be the first derivative of 3/4*a**4 + 0*a + 17 - a**3 - h*a**2. Solve u(t) = 0.
-1, 0, 2
Suppose -3*w - 58 = -5*s + 24, 0 = -5*s - w + 66. Suppose s = -35*l + 42*l. Factor 0*d - 3/2 + 3/2*d**l.
3*(d - 1)*(d + 1)/2
Let z(u) be the third derivative of u**6/420 - 1051*u**5/105 + u**2 - 33*u + 22. Find j, given that z(j) = 0.
0, 2102
Let x(w) be the second derivative of w**9/52920 - w**7/1260 + w**6/420 - 3*w**4 + w**2 - 153*w. Let c(z) be the third derivative of x(z). Solve c(n) = 0.
-3, 0, 1, 2
Find n, given that -201*n - n**2 - 9738 + 3*n**2 + 1264*n + 6146 + 729*n = 0.
-898, 2
Let x be (96/28)/(-6) + 76/(-14) + 6. Let k(a) be the second derivative of 8*a - 1/6*a**3 + 1/100*a**5 - 3/10*a**2 - 1/60*a**4 + x. Find h, given that k(h) = 0.
-1, 3
Suppose r + 2*a - 60 = -4*r, -3*a = 3*r - 36. Suppose -7*z + z + r = 0. Factor -11*f**3 - f**3 - 8*f**2 - 3*f**5 - 6*f**4 + 0*f**z + 2*f**5.
-f**2*(f + 2)**3
Let b = 170 + -168. Solve 10*z**b + 25*z + 2*z**3 + 59 - 51 - 9*z = 0.
-2, -1
Suppose 11*u**3 - 22*u**3 + 80 + 51*u**3 - 122*u + 4*u**4 + 10*u - 12*u**2 = 0. What is u?
-10, -2, 1
Suppose -5*x + 10 = 5*z, 4*x - 46 = 4*z + 2. Let p be (0 + 1)/(14/28). What is y in -x*y**3 - 8*y**p + 4*y**3 - y**3 - 4*y = 0?
-1, 0
Let t(z) be the first derivative of z**4/40 - 19*z**3/30 + 6*z**2/5 - 20*z - 50. Let h(a) be the first derivative of t(a). Factor h(x).
(x - 12)*(3*x - 2)/10
Let n(t) be the second derivative of t**4/78 - 44*t**3/13 - 133*t**2/13 + 2694*t. Find f, given that n(f) = 0.
-1, 133
Let g be ((-3)/4*(-462)/(-63) - -2)*-2. Let j(i) be the third derivative of 1/4*i**6 - 6*i**2 + 0*i + 5/3*i**4 - 1/42*i**g + 0*i**3 + 0 - i**5. Solve j(t) = 0.
0, 2
Let d be -68 + 33852/420 + (0 - 1). Suppose 62/5*r**2 - d*r**3 - 4/5*r + 0 = 0. Calculate r.
0, 2/29, 1
Let z(h) = -2*h**2 - h + 10. Let u(t) = -9*t**2 + 2973*t + 5994. Let m(n) = -u(n) + 3*z(n). Let m(k) = 0. What is k?
-2, 994
Let t(w) be the third derivative of w**10/16800 - w**9/2880 + w**8/2016 + 7*w**5/6 + 20*w**2. Let h(s) be the third derivative of t(s). Factor h(l).
l**2*(3*l - 5)*(3*l - 2)
Let a(j) be the third derivative of j**6/120 + 269*j**5/60 + 2278*j**4/3 + 8978*j**3/3 - 3124*j**2. Let a(d) = 0. Calculate d.
-134, -1
Factor -3*o**2 - 1107 + 3006 - 1449 + 57*o.
-3*(o - 25)*(o + 6)
Let x be 51/(-153) + (-1)/3*-73. Let f(r) = -r**2 - r + 2. Let d(p) = 20*p**3 - 28*p**2 - 48. Let v(m) = x*f(m) + d(m). Factor v(c).
4*c*(c - 3)*(5*c + 2)
Let m = -142 + 248. Factor -m*a + 33 + 8*a**2 + 24*a**3 + 202*a + 82*a**2 - 3*a**4.
-3*(a - 11)*(a + 1)**3
Factor 145*l + 6 + 174 + 175*l**3 - 24*l**2 + 1719*l**2 + 920*l + 35*l.
5*(l + 9)*(5*l + 2)*(7*l + 2)
Let m(f) be the first derivative of -f**4/10 + 74*f**3/15 - 371*f**2/5 + 2254*f/5 + 1179. Factor m(v).
-2*(v - 23)*(v - 7)**2/5
Suppose -70 - 260 = -111*m - 108. Factor -5/4 + 5/4*g**m - 1/4*g + 1/4*g**3.
(g - 1)*(g + 1)*(g + 5)/4
Let g(u) = -u**3 - 13*u**2 + 26*u - 47. Let p be g(-14). Let w = -213 - p. Factor -20/11*m + 2/11*m**w + 50/11.
2*(m - 5)**2/11
Suppose 4*g - 2*t - t = 2123, 0 = -g - 4*t + 545. Factor 8*o**3 - 2*o**5 + 6*o**4 - 32*o**2 + g - 234 - 267.
-2*(o - 2)**3*(o + 1)*(o + 2)
Let b(j) be the second derivative of -j**5/40 - 29*j**4/4 - 173*j**3/12 - 2780*j. Suppose b(p) = 0. Calculate p.
-173, -1, 0
Factor -1/6*r**4 - 464/3 + 196*r + 11*r**3 - 242/3*r**2.
-(r - 58)*(r - 4)*(r - 2)**2/6
Let d(c) = 12*c**2 + 180*c - 56. Let v(o) = 11*o**2 + 165*o - 54. Let r(k) = -10*d(k) + 11*v(k). Factor r(x).
(x - 2)*(x + 17)
Suppose -m = n - 7, -2*m - 3*m - 3*n = -25. Solve 2*k**m + 2/3*k**3 + 0*k + 0 = 0.
-3, 0
Let t be ((-213)/(-6) - 7)*2. Let -54*n**2 + 58*n + 3*n**4 - t*n**3 - 20 + 29*n**3 - n**4 + 42*n**3 = 0. What is n?
-10, 1
Let q(k) be the second derivative of -k**4/12 - 4*k**3/3 - 6*k**2 + 15*k. Let b be q(-4). Factor -12*a**2 + a**3 - 12 + 4 + 20*a - 6*a**3 + a**3 + 4*a**b.
4*(a - 1)**3*(a + 2)
Let r(l) = 9*l**4 - 8413*l**3 - 8415*l**2 + 7. Let q(z) = -3*z**4 + 2804*z**3 + 2805*z**2 - 2. Let c(a) = -7*q(a) - 2*r(a). Factor c(b).
3*b**2*(b - 935)*(b + 1)
Let z = -3 - -5. Let r = -152379 - -152383. Find b, given that 0*b + 36/5*b**5 - 6/5*b**3 + 0 + 12/5*b**z - 42/5*b**r = 0.
-1/2, 0, 2/3, 1
Factor -q**4 - 132935*q**2 - 61*q + 132848*q**2 - 25*q**3 - 2*q.
-q*(q + 1)*(q + 3)*(q + 21)
Let x = 60202/3 + -20062. Let l(f) be the first derivative of -f**2 + x*f**3 - 45/8*f**4 + 0*f - 18 - 81/1