-2675. Solve -5*z**3 + v + x*z**2 - 1163 - 15*z = 0.
0, 1, 3
Suppose 0 = 2*i - 5*p + 194, -5*p + 45 - 65 = 0. Let u = i + 750/7. Factor 1/7*j**3 + u*j**2 + 0 - 2/7*j.
j*(j - 1)*(j + 2)/7
Let t(k) = 5*k**4 - 44*k**2 + 48*k + 87. Let q(l) = 11*l**4 - 88*l**2 + 96*l + 173. Let m(o) = -3*q(o) + 7*t(o). Solve m(s) = 0.
-5, -1, 3
Let n(q) be the first derivative of 4*q**3/3 + 10*q**2 - 600*q + 90. Determine b, given that n(b) = 0.
-15, 10
Factor 92/3*z - 1/3*z**2 - 172.
-(z - 86)*(z - 6)/3
Let u(x) = -13*x**2 - 189*x + 202. Let t(d) = -10*d**2 - 191*d + 201. Let h(o) = -4*t(o) + 3*u(o). Solve h(q) = 0 for q.
-198, 1
Suppose -y + 2*f + 5 = 4*y, 4*y = 5*f - 13. Let -18*n**3 + 41*n**2 + 197*n + 0*n**3 - 8*n**2 - 17*n - 300 - y*n**4 = 0. What is n?
-5, 2
Let j = 2406 + -2406. Let i(k) be the third derivative of 0*k**3 - 15*k**2 - 4/75*k**5 + 1/15*k**4 + j + 0*k - 1/60*k**6. Factor i(v).
-2*v*(v + 2)*(5*v - 2)/5
Suppose 5*v = -4*w + 8, -3*v + 9251*w + 2 = 9252*w. Suppose j - 1/2*j**2 + v = 0. What is j?
0, 2
Let x be (-63 + 3)*((-6987)/(-5355) - (-14)/(-10)). Suppose -44/7 + 48/7*t**2 + 40/7*t**3 - x*t - 4/7*t**4 = 0. What is t?
-1, 1, 11
Factor -102/5*c**2 - 2/5*c**3 - 636/5*c - 176.
-2*(c + 2)*(c + 5)*(c + 44)/5
Let q(h) = 8*h + 216. Let z be q(-22). Find l, given that -z*l**2 - 83*l**2 - 87*l**5 + 8*l**3 + 99*l**4 + 25*l**3 + 24 - 54*l + 0 + 108*l**5 = 0.
-4, -1, 2/7, 1
Let o be (-2 - 1)*1 + (-83 - -88). Let -15 - 2 - 18*b**o - 8*b**3 + 60*b + 33 = 0. Calculate b.
-4, -1/4, 2
Factor 6/5 - 23/10*m - 1/5*m**2.
-(m + 12)*(2*m - 1)/10
Let k(o) be the second derivative of -o**4/4 + 20*o**3 - 384*o**2 + 3*o - 154. Suppose k(z) = 0. What is z?
8, 32
Suppose 2*t + 3*r = -1165, -2*t = -3*r + 5*r + 1160. Let u = 1069 + t. Factor 496*g**2 - 4*g**5 + 3*g**3 - u*g**2 + 3*g**5.
-g**2*(g - 2)*(g + 1)**2
Suppose 2624400 + 2007*d + d**2 - 1114*d + 1011*d + 1336*d = 0. What is d?
-1620
Let j(s) be the second derivative of -3*s**5/20 + 281*s**4/4 - 19599*s**3/2 - 59643*s**2/2 + 1001*s. Solve j(v) = 0.
-1, 141
Solve 208*r**4 - 84 + 27*r**3 + 373*r**2 - 142*r**4 + 108*r - 124*r**2 - 96*r**4 = 0 for r.
-2, -1, 2/5, 7/2
Let b(x) = -7*x**2 + 121*x. Let v(j) = 29*j**2 - 482*j. Let n(y) = -y - 10. Let d be n(-1). Let o(h) = d*b(h) - 2*v(h). Solve o(g) = 0 for g.
0, 25
Let -77284/17 + 2/17*d**3 - 560/17*d**2 + 39754/17*d = 0. Calculate d.
2, 139
Let i(u) be the third derivative of u**7/420 + 241*u**6/720 - 9*u**5/20 + 190*u**2 - 1. Factor i(q).
q**2*(q + 81)*(3*q - 2)/6
Let m(k) = 4*k**2 - 2*k - 6. Let q(u) = u**2 - u. Let z(l) = -m(l) + 3*q(l). Let x be z(0). Factor 190*w**4 - x*w - 185*w**4 - 5*w**2 + 5*w**3 + w.
5*w*(w - 1)*(w + 1)**2
Suppose 28 = 16*t - 18*t. Let v(y) = -y**3 - 14*y**2 + 9. Let o be v(t). Factor -15*r**2 - 8*r - 8*r - o*r + 4*r - 3*r**3 - 9.
-3*(r + 1)**2*(r + 3)
Let f(y) be the first derivative of -4*y**6/27 - 46*y**5/9 - 117*y**4/2 - 240*y**3 - 336*y**2 + 8875. What is q in f(q) = 0?
-12, -3, -7/4, 0
Let a(z) = -5*z**2 + 20*z + 25. Let c be 1*((-3 - -4) + -2). Let h = -10 + 15. Let p(x) = x + 1. Let i(o) = c*a(o) + h*p(o). Solve i(k) = 0.
-1, 4
Solve 1/2*c**5 + 261/2*c - 91 - 3*c**4 - 47*c**3 + 10*c**2 = 0 for c.
-7, -2, 1, 13
Let m(w) = 119*w**3 + 181*w**2 + 1041*w + 1379. Let h(z) = -25*z**3 - 36*z**2 - 208*z - 276. Let x(q) = -19*h(q) - 4*m(q). Factor x(n).
-(n + 2)*(n + 4)*(n + 34)
Let h(u) be the first derivative of -u**4/16 + 5*u**3/12 - u**2/2 - 539. Find n, given that h(n) = 0.
0, 1, 4
Let p(r) be the first derivative of -r**4/9 + 3*r**3 - 95*r**2/18 - 11011. Suppose p(t) = 0. Calculate t.
0, 5/4, 19
Suppose 5*p + 42 = -6*l, -l + 160*p - 163*p = 33. Determine z so that 316/13*z**l + 882/13*z + 2/13*z**5 - 64*z**2 - 44/13*z**4 - 324/13 = 0.
1, 2, 9
Let a = -357 + 360. Let g(s) be the first derivative of -1/5*s**a + 3/5*s**2 - 3/5*s - 12. Suppose g(v) = 0. What is v?
1
Let z(w) = 21*w**2 - 42*w - 21. Let x be z(9). Let s = x + -1299. Find y, given that -10/3*y**s - 2*y**2 + 10/3*y - 2/3 + 8/3*y**4 = 0.
-1, 1/4, 1
Suppose -38 = -3*u - 32. What is k in 9 - 22 + 7 - 5*k + k**u = 0?
-1, 6
Let z = 12764/5 - 2552. Let y(g) = -25*g - 23. Let p be y(-1). Factor -7/5*x**4 + 0 + 16/5*x**p + x**3 + z*x.
-x*(x - 2)*(x + 1)*(7*x + 2)/5
Let f(h) be the third derivative of -h**7/840 - 9*h**6/8 - 36719*h**5/120 - 12105*h**4/8 - 72361*h**3/24 - 23*h**2 + 54*h. Factor f(m).
-(m + 1)**2*(m + 269)**2/4
Suppose -3680*g + 675 = 675. Let g - 2/5*u**2 - 28/5*u = 0. Calculate u.
-14, 0
Let -82/13*z**4 + 0 + 738/13*z**2 + 36/13*z - 4/13*z**3 = 0. What is z?
-3, -2/41, 0, 3
Let i(r) = r**2 + 3*r + 18. Let u be i(-6). Suppose -2*y + u - 26 = 0. Let 19*d**3 + d**3 - 9*d**2 + 18*d**y + 6*d**3 - 48*d**4 + 5*d**2 = 0. Calculate d.
0, 1/3, 2
Suppose 1560 = 3*t - 43*t. Let r be (0 + 2/(-3))/(t/117). Find u such that 0 - 18/7*u**r + 3/7*u**4 + 0*u - 3/7*u**3 = 0.
-2, 0, 3
Let n = -2313/3745 + 8/107. Let d = 39/35 + n. Let 80/7*j + 400/7 + d*j**2 = 0. What is j?
-10
Let t = -627245/4 + 9408859/60. Suppose -52/15*u**2 - t*u + 20/3 - 2/15*u**3 = 0. Calculate u.
-25, -2, 1
Let y(q) be the first derivative of 0*q**2 - 80*q + 5/3*q**3 + 141. Solve y(m) = 0.
-4, 4
Suppose -2*q = -11*q - 135. Let w = -13 - q. Factor -2*a**4 - 14*a**w + 6*a**3 + 14*a**2.
-2*a**3*(a - 3)
Let h(m) be the first derivative of -m**6/3 + 6*m**5 - 63*m**4/2 + 170*m**3/3 - 36*m**2 + 1224. Let h(j) = 0. What is j?
0, 1, 4, 9
Suppose 30*n = 4*n + 2912. Factor 95*i**2 - 111*i - n*i**3 + 59*i**2 - 38*i**2 + 3 + 84*i**2 + 15.
-(4*i - 3)**2*(7*i - 2)
Let n(j) be the third derivative of -j**5/20 - 203*j**4/2 - 82418*j**3 - 29*j**2 + 2*j. Let n(r) = 0. Calculate r.
-406
Let i be -6 + (-1 - -76) + 2. What is n in -n**2 + 36*n + 43*n + 0*n**2 - i*n = 0?
0, 8
Let b be (-100)/10 - -11 - (-5 - -1). Let h(n) be the third derivative of -11*n**2 - 1/40*n**6 + 0 + 3/2*n**3 - 7/8*n**4 + 1/4*n**b + 0*n. Solve h(t) = 0.
1, 3
Let v(n) be the second derivative of -n**5/40 - n**4/4 + 91*n**3/12 - 3659*n. Let v(r) = 0. Calculate r.
-13, 0, 7
Suppose 92*k + 37*k + 993 - 1981 + 988 = 0. Factor k + 2/3*f**4 + 10/3*f - 6*f**2 + 2*f**3.
2*f*(f - 1)**2*(f + 5)/3
Let c(q) be the third derivative of -1/4*q**5 - 5/8*q**4 + 0 + 0*q - 5/6*q**3 + 7*q**2 - 1/24*q**6. Factor c(t).
-5*(t + 1)**3
Suppose -12*a + 40*a = 112. Factor v**3 + 20*v**2 - 24*v**2 - 3*v**a + 15*v**4 - 3*v**3.
2*v**2*(2*v + 1)*(3*v - 2)
Let z(i) = -i**2 - 13*i - 18. Let v be z(-11). Factor 0*f - 12*f**2 + 1312*f**3 - 1312*f**3 + 8*f + 4*f**v.
4*f*(f - 1)**2*(f + 2)
Let r(v) = -2*v**2 + 58*v + 9. Let x be r(29). Suppose 3*b + 4*d - 29 = 0, -b - 17 = x*d - 13*d. Solve 2/11*y**b + 10/11*y**2 + 14/11*y + 6/11 = 0.
-3, -1
Let f(q) be the first derivative of q**7/336 - 11*q**6/144 + 35*q**5/48 - 125*q**4/48 - 51*q**3 + 73. Let b(r) be the third derivative of f(r). Factor b(d).
5*(d - 5)**2*(d - 1)/2
Let y(s) = -5*s**4 + 370*s**3 - 695*s**2 + 5*s. Let h(j) = -7*j**4 + 555*j**3 - 1042*j**2 + 8*j. Let n(i) = -5*h(i) + 8*y(i). Suppose n(a) = 0. What is a?
0, 2, 35
Let x(k) be the first derivative of -2*k**5/9 - 197*k**4/18 - 530*k**3/27 + 41*k**2/9 + 76*k/3 + 3308. Find q such that x(q) = 0.
-38, -1, 3/5
Let l(k) = 35*k - 206. Let q be l(7). Let w(n) be the first derivative of -3/8*n**4 + 1/4*n**3 + 3/4*n**2 - q - 3/20*n**5 + 0*n. Solve w(a) = 0.
-2, -1, 0, 1
Let x = -67 - -143. Let w = -73 + x. Factor -6*p + 28*p**2 - 43*p**2 - p**4 - w*p - 7*p**3.
-p*(p + 1)*(p + 3)**2
Let a(n) be the second derivative of -7/60*n**4 + 28*n - 3/10*n**3 + 2 - 1/5*n**2. Suppose a(s) = 0. Calculate s.
-1, -2/7
Let s(f) = 13*f**2 - 54*f - 270. Let t(h) = 3*h**2 - 14*h - 67. Let b(m) = -2*s(m) + 9*t(m). Let b(p) = 0. What is p?
-3, 21
Let y be (147 + -55 - 105) + (3 - 772/(-28)). Factor 3*c**3 + 3 + y*c - 165/7*c**2.
3*(c - 7)*(c - 1)*(7*c + 1)/7
Let s = -107378 + 107382. Find h, given that 13/3*h**s - 16/3*h**3 - 16/3*h + 16/3 - 56/3*h**2 + 5/3*h**5 = 0.
-2, -1, 2/5, 2
Suppose 6*k = -2*k + 16. Suppose k*j + 0*j + 1088 = 5*a, -444 = -2*a + 3*j. Suppose w**2 + 3*w + 216 - 2*w - a = 0. Calculate w.
-1, 0
Let r(y) be the second derivative of -y**4/15 + 83*y**3/30 + 92*y**2 - 10594*y. Find u, given that r(u) = 0.
-8, 115/4
Let d(z) be the third derivative of -z**9/90720 + z**7/7560 + z**5/30 - 5*z**4/3 - 76*z**2