 Factor c(z).
-4*z*(z - 1)*(z + 1)**2
Suppose 25042*i = 25140*i - 196. Determine q, given that -25*q**3 - 30*q**i - 7*q + 125/2*q**4 - 1/2 = 0.
-1/5, 1
Factor 165/4*d + 1/4*d**3 - 6*d**2 - 175/2.
(d - 14)*(d - 5)**2/4
Suppose 8 + 77*f**2 + 117*f**2 + 126*f - 8*f**3 + 26*f - 35 - 23 = 0. Calculate f.
-1, 1/4, 25
Suppose 0 = -3*n - 2*f + 10, -14*n + 4*f = -9*n + 20. Suppose -3*v + 26 = 5*r, 12*v + 10 = 15*v + r. Factor 3/8*o - 3/8*o**3 + 3/8*o**4 + n - 3/8*o**v.
3*o*(o - 1)**2*(o + 1)/8
Let o = 7 + -4. Let b = 211115 - 211112. Factor -63/5*f**2 - 72/5*f - 12/5 - b*f**o.
-3*(f + 2)**2*(5*f + 1)/5
Factor 497*u**4 - 1529*u**5 + 385*u - 472*u**4 + 1530*u**5 + 190*u**3 + 430*u**2 + 121.
(u + 1)**3*(u + 11)**2
Let m(j) = -j - 10. Let f be m(-12). Find t such that 21*t - 5*t**f - 23*t - 48*t = 0.
-10, 0
Suppose 96/5*a**2 + 432/5*a + 0 - 3/5*a**3 = 0. What is a?
-4, 0, 36
Let r(k) be the first derivative of k**6/4 - 87*k**5/5 + 327*k**4/8 + 88*k**3 - 339*k**2 + 336*k + 578. Suppose r(u) = 0. Calculate u.
-2, 1, 2, 56
Find q such that 21*q**2 + 229*q - 25*q**2 - 361*q - 424*q - 552 = 0.
-138, -1
Let k(r) = 16*r - 99. Let i be k(7). Suppose 18*d - 41 = i. Suppose -26/9*c - 32/3*c**2 - 2/9 - 8*c**d = 0. What is c?
-1, -1/6
Let c(t) be the first derivative of -2*t**5/45 + 2*t**4/3 - 14*t**3/9 - 98*t**2/9 - 28. Suppose c(s) = 0. Calculate s.
-2, 0, 7
Let h be (0 - 0) + 23 + (-75480)/3504. Let r = h + 3/73. Let r*t**3 + 45/2*t + 21/2*t**2 + 27/2 = 0. Calculate t.
-3, -1
Let f(l) be the first derivative of -l**3/3 - 64*l**2 - 1073. Determine w, given that f(w) = 0.
-128, 0
Suppose -196 + 148 = -12*d. Let n(c) be the first derivative of 1/10*c**6 - 9/25*c**5 + 6 + 3/10*c**d + 3/5*c + 2/5*c**3 - 9/10*c**2. Factor n(x).
3*(x - 1)**4*(x + 1)/5
Suppose 276*n - 281*n = 0. Suppose 5*f + 3*a = n, 0 = -a + a - a. Factor -3/7*k**4 + 0*k**2 + 0 + 3/7*k**3 + f*k.
-3*k**3*(k - 1)/7
Let q = -2702 - -1928. Let s = q + 776. Factor -3/2 + 27/4*n**s + 21/4*n.
3*(n + 1)*(9*n - 2)/4
Suppose -44*m + 49*m - 15 = 0, 5*h - 4*m = 758. Let r = h + -305/2. Solve -2*u + r*u**2 - 2 + 2*u**3 + 1/2*u**4 = 0.
-2, -1, 1
Suppose 937*g - 1698 - 176 = 0. Let -3/2*x + 3/2*x**3 - 5/4 + 1/4*x**4 + x**g = 0. What is x?
-5, -1, 1
Suppose -28 = -208*b + 209*b + 5*f, -4 = 4*b + 2*f. Suppose 0 + 0*x**b - 16/3*x + 4/3*x**3 = 0. Calculate x.
-2, 0, 2
Let v(o) = 20*o + 294. Let g be v(-12). Factor 0*n**3 + 503*n + 6*n**2 - 4*n**3 - g*n**2 - 587*n + 392.
-4*(n - 2)*(n + 7)**2
Let z(c) be the third derivative of -c**5/30 + 29*c**4/6 - 112*c**3/3 + 16*c**2 + 5*c + 12. Determine i so that z(i) = 0.
2, 56
Let u(v) = -4*v**3 - 2*v**2 + 2*v - 11. Let g be u(-5). Let w be (-10)/(-215) - g/(-946). Factor -1/2 + b - w*b**2.
-(b - 1)**2/2
Factor -2290*l + 5*l**2 + 207276 + 38451 + 16478.
5*(l - 229)**2
Let k be 30*((-6)/27 + 26/(-45)). Let y = 28 + k. Factor -4/9*i**2 + 0 - 10/9*i**3 - 8/9*i**y + 0*i - 2/9*i**5.
-2*i**2*(i + 1)**2*(i + 2)/9
Suppose -15*k - k + 33 = 1. Let y(t) be the second derivative of 1/80*t**5 + 0 + 1/3*t**3 + 20*t + k*t**2 - 7/48*t**4. Suppose y(r) = 0. What is r?
-1, 4
Let z(g) be the first derivative of -4*g**3/21 - 272*g**2/7 - 8892*g/7 + 7527. Factor z(d).
-4*(d + 19)*(d + 117)/7
Let f(x) be the third derivative of x**7/280 + x**6/80 - x**5/20 - x**4/4 - 10685*x**2. Factor f(k).
3*k*(k - 2)*(k + 2)**2/4
Suppose -29*s = -2*o - 32*s + 2, 0 = -3*o + s + 14. Suppose -o*d = -10*d + 36. Let -15/2*k**3 - d*k + 0 + 18*k**2 = 0. Calculate k.
0, 2/5, 2
Let m(h) = -38*h**4 + 215*h**3 + 544*h**2 + 129*h - 162. Let y(u) = 13*u**4 - 72*u**3 - 181*u**2 - 42*u + 54. Let x(p) = 3*m(p) + 8*y(p). What is b in x(b) = 0?
-3/2, -1, 2/5, 9
Let -144*d + 19516*d**3 - 9752*d**3 + 2*d**2 - 5*d**2 - 9749*d**3 = 0. Calculate d.
-3, 0, 16/5
Let o(v) be the third derivative of 6*v + 5/8*v**4 - 2/105*v**7 + 0*v**3 + 0 - 1/30*v**5 - 7/40*v**6 - 9*v**2. Factor o(m).
-m*(m + 1)*(m + 5)*(4*m - 3)
Let n be 3 + 3 + (-6916)/1326 + 775/(-85) + 9. Determine l, given that -n*l**2 - 4*l - 6 = 0.
-3
Let g(d) be the second derivative of 0*d**5 + 4/15*d**3 - 21*d + 0*d**2 + 0 + 2/75*d**6 - 1/5*d**4. Factor g(z).
4*z*(z - 1)**2*(z + 2)/5
Let y(v) be the first derivative of -1/5*v**5 - 3/4*v**4 + 107 + 0*v**2 + 6*v**3 + 0*v. Factor y(u).
-u**2*(u - 3)*(u + 6)
Solve -a**2 + 278 - 290 - 2*a**2 - 788 - 410*a - 2*a**2 = 0 for a.
-80, -2
Let t(c) = -c**3 + c + 1. Let r be t(-3). Determine s so that -24*s - r*s**2 + 10*s**3 + 6*s**4 - 18*s**2 + 27*s**2 + 0*s**4 - 4*s**4 = 0.
-6, -1, 0, 2
Let t(u) be the third derivative of u**6/420 - 57*u**5/70 + 333*u**4/28 - 495*u**3/7 - 7566*u**2. Let t(d) = 0. Calculate d.
3, 165
Let t(q) be the first derivative of 4/15*q**5 + 0*q**2 + 22 + 0*q**3 + 0*q - 1/3*q**4. Solve t(l) = 0.
0, 1
Let h be 4*(-1250)/(-2496) + 2/(-1). Let u = h + 205/936. Factor 2/9*y**2 + 4/9*y + u.
2*(y + 1)**2/9
Let z(r) be the first derivative of 0*r + 3/10*r**5 - 2*r**3 + 110 + 3/4*r**4 - 6*r**2. Determine y so that z(y) = 0.
-2, 0, 2
Suppose -5*o + 4*o + 3*t - 1159 = 0, 3*o - 2*t + 3477 = 0. Let q = o + 1162. Find n, given that 2/3*n + q*n**2 + 7/3*n**3 + 0 = 0.
-1, -2/7, 0
What is s in 0*s**4 - 8*s + 0 - 1/3*s**5 + 10/3*s**2 + 5*s**3 = 0?
-3, -2, 0, 1, 4
Let y(o) be the second derivative of -3/11*o**3 - 1/11*o**4 + 0*o**2 + 2*o - 1/110*o**5 - 47. Factor y(z).
-2*z*(z + 3)**2/11
Let d(l) = -61*l**3 - l**2 + 6*l + 6. Let q be d(-1). Factor -4*z**3 + q*z + 17*z**2 + 0*z**3 - 33*z**2 + 40*z**2 + 32.
-4*(z - 8)*(z + 1)**2
Let j(f) be the third derivative of 17*f**7/840 - 33*f**6/160 + 67*f**5/240 + 5*f**4/32 + 6*f**2 + 9. Determine o so that j(o) = 0.
-3/17, 0, 1, 5
Let y(i) = i**3 - 19*i**2 + 17*i + 5. Let d be y(18). Let u be -3 - (-1 - d)/(-2). Solve -4*a**3 - 2*a**5 - 2*a**4 + 10*a**4 - 2*a**u + 0*a**4 = 0.
0, 1, 3
Let b be (6/15)/(7889/245 + -30). Factor -8/11*d + 0 + b*d**2.
2*d*(d - 4)/11
Let y be (8/14)/(-1) + 176/14. Suppose 4*l - y = -0*l. Factor 257*a**2 - 258*a**2 + l - 3.
-a**2
Suppose -c = -6 + 1. Suppose 0 = -c*p - 3*u + 1, 15 = -5*u. Factor -4*w**4 - 5*w**p + w**2 - 6*w**3 - 2*w**3.
-4*w**2*(w + 1)**2
Let i(p) be the first derivative of -p**5/10 - 9*p**4/8 - 4*p**3 - 4*p**2 + 994. Factor i(t).
-t*(t + 1)*(t + 4)**2/2
Let j(d) be the third derivative of d**5/160 - 11*d**4/64 - 21*d**3/8 - 3166*d**2. Suppose j(t) = 0. What is t?
-3, 14
What is g in -26 + 316/3*g - 110/3*g**2 = 0?
3/11, 13/5
Suppose -h + 159 - 156 = 0. Let 6*k**2 + 297 + h*k**2 - 378 + 240*k = 0. What is k?
-27, 1/3
Let x(j) be the third derivative of -35/6*j**4 - 50*j**2 + 0*j - 3/8*j**5 + 27/16*j**6 - 20/3*j**3 + 0. Determine h, given that x(h) = 0.
-4/9, 1
Let n(t) = -t**4 + 2*t**3 - t**2 + 1. Let b(p) = 6 + 10*p**3 + 711*p**5 - 5*p**2 - 10*p**4 + 3*p**2 - 709*p**5. Let o(i) = b(i) - 6*n(i). Factor o(y).
2*y**2*(y - 2)*(y - 1)*(y + 1)
Factor -13629005/3*h**2 + 0*h + 16510/3*h**3 + 0 - 5/3*h**4.
-5*h**2*(h - 1651)**2/3
Let m(k) be the second derivative of 1 + 11/3*k**3 + 1/10*k**5 + 43*k + 6*k**2 + k**4. Suppose m(q) = 0. Calculate q.
-3, -2, -1
Let l(i) be the third derivative of -13/3*i**4 + 0 - 3*i**2 - 338/3*i**3 - 2*i - 1/15*i**5. Suppose l(o) = 0. Calculate o.
-13
Let d = 403 - 331. Suppose -158*m**2 + m**3 - 53*m**3 + 7*m - d - 90*m - 109*m - 6*m**4 = 0. What is m?
-3, -2, -2/3
Suppose 4*g - 4 - 4 = 0. Factor 6*j**4 - 30 - j + g*j + 19*j**2 - 15*j**4 + 20 - j**3.
-(j - 1)**2*(j + 1)*(9*j + 10)
Let f(n) be the second derivative of -5*n**4/18 - 1252*n**3/9 - 500*n**2/3 + n - 1080. What is o in f(o) = 0?
-250, -2/5
Factor w**3 - w - 3/2 + 2*w**2 - 1/2*w**4.
-(w - 3)*(w - 1)*(w + 1)**2/2
Let g(y) be the third derivative of 27*y**8/14 - 6*y**7/7 - 49*y**6/10 + 64*y**5/15 + 2*y**4/3 - 4572*y**2. Determine p, given that g(p) = 0.
-1, -1/18, 0, 2/3
Let d(z) = 3*z**2 - 2*z + 1. Suppose -w = -6*w + 5. Let b be d(w). Determine c so that 102*c - 84*c + 12*c**3 - 4*c**3 + 3 + 24*c**b + 1 = 0.
-2, -1/2
Let k(n) = 9*n - 167. Let g be 3 - ((-48)/18)/(2/12). Let a be k(g). Suppose 31/4*m**a - 15/4*m**5 - 30*m**2 + 20*m - 4 + 10*m**3 = 0. What is m?
-2, 2/5, 2/3, 1, 2
Let k(z) = 29. Let y(o) = -7. Let r(x) = 3*k(x) + 12*y(x). Let w = -5 + 8. Let t(i) = -i**2 + i - 6. Let d(j) = w*t(j) + 6*r(j). Find m such that d(m) = 0.
0, 1
Let g = 386/689 + 25161/5512. Fin