rivative of -z**3/3 + 45*z**2 - 176*z + 151. Determine h so that v(h) = 0.
2, 88
Factor 0 - 2/11*n**3 - 384/11*n + 386/11*n**2.
-2*n*(n - 192)*(n - 1)/11
Suppose -4*l = 2*w - 4, 0*l - 3*l + 3*w - 6 = 0. Find c such that 5*c**3 + 59*c**2 - 30*c**2 + l*c**3 - 28*c**2 - 2*c + 2*c**4 = 0.
-2, -1, 0, 1/2
Let q(z) = -z**2 - 25*z - 24. Let b be q(-24). Let n be (4 + 104/(-24))*(-5 - 1). Find l such that 0 - 3*l**n + b*l + 3/2*l**3 = 0.
0, 2
Let v = -1521/5 - -1217/4. Let g(f) be the second derivative of -1/30*f**6 + 1/12*f**4 + 1/42*f**7 - 11*f + 0*f**2 + 0*f**3 + 0 - v*f**5. Factor g(n).
n**2*(n - 1)**2*(n + 1)
Let n = 24806 - 818582/33. Let a(c) be the first derivative of 1/44*c**4 + 32/11*c**2 + 0*c + 41 - n*c**3. Determine u so that a(u) = 0.
0, 8
Let o(h) be the second derivative of -1/20*h**5 - 51/16*h**4 - 361/8*h**2 - 8*h - 247/4*h**3 + 0. Determine n so that o(n) = 0.
-19, -1/4
Let b be (-36)/(-3*(-2 + 21/9)). Suppose 0 = b*j - j. Find h, given that 0 + 5/3*h**2 + 5/3*h**4 + j*h - 10/3*h**3 = 0.
0, 1
Let t(b) be the first derivative of -b**7/420 - 7*b**6/900 + 2*b**5/75 + b**4/15 - 218*b**3/3 + 314. Let u(f) be the third derivative of t(f). Factor u(w).
-2*(w - 1)*(w + 2)*(5*w + 2)/5
Let y(k) = k**2 - 20*k + 76. Let d be y(15). Let f be (-2)/23 + d/((-322)/(-1638)). Solve 0*z - 10*z**3 + 5/2*z**4 + 10*z**f - 5/2*z**2 + 0 = 0 for z.
-1, -1/4, 0, 1
Solve -4840*d**2 + 6007*d**2 - 8089366 - 2940*d + 23104*d**3 + 18897*d**2 + 8089466 = 0 for d.
-1, 5/76
Factor -46/3*i**3 + 429*i**2 + 1/6*i**4 - 2178*i - 83853/2.
(i - 33)**3*(i + 7)/6
Find r such that -181 + 18 - 2192*r - 2*r**2 + 992 + 1365 = 0.
-1097, 1
Suppose 12*a + 234 + 2/13*a**2 = 0. What is a?
-39
Find w, given that 285084*w**4 - 9*w + 10*w**3 - 285090*w**4 - w**5 + 2*w**3 + 6*w**2 - 2*w**5 = 0.
-3, -1, 0, 1
Suppose -556*k = -606*k. Factor 0 + k*c**2 + 2/3*c**5 - 2*c**4 + 4/3*c**3 + 0*c.
2*c**3*(c - 2)*(c - 1)/3
Let d be (2283/(-24) - -1)/(39 - 36). Let h = d - -63/2. Factor 1/4*b**3 + 0 + 0*b**2 - 1/8*b**5 + 0*b**4 - h*b.
-b*(b - 1)**2*(b + 1)**2/8
Let b = 262 + -274. Let k(f) = -38*f - 454. Let g be k(b). What is o in 9/2*o**g + 0*o + 0 + 3/2*o**3 + 1/8*o**4 = 0?
-6, 0
Let 10/7*x**5 + 0*x + 0 - 80/7*x**3 + 46/7*x**4 + 24/7*x**2 = 0. Calculate x.
-6, 0, 2/5, 1
Solve 4401/2*t + 99/2*t**3 - 1701 - 3/2*t**4 - 1095/2*t**2 = 0.
1, 9, 14
Let i(p) be the third derivative of -145/12*p**5 - 132 - 2*p**2 - 105/8*p**4 + 0*p - 5/3*p**3. Factor i(x).
-5*(5*x + 2)*(29*x + 1)
Suppose -158*u + 704 - 28*u**4 - 564*u - 4236*u**2 - 2512*u**3 - 326*u = 0. What is u?
-88, -1, 2/7
Suppose 217*r - 216*r - 4 = 0. Factor 40*q**3 + 0*q**2 + 0*q**4 - 13*q**r + 5*q**2 + 2*q - 12*q + 38*q**4.
5*q*(q + 1)**2*(5*q - 2)
Let p(x) be the third derivative of x**7/70 - x**6/40 - 57*x**5/20 + 113*x**4/8 - 28*x**3 - 2460*x**2. Let p(c) = 0. What is c?
-8, 1, 7
Let f(y) be the first derivative of -y**4/36 - 11*y**3/18 - 108*y + 226. Let g(s) be the first derivative of f(s). Suppose g(b) = 0. What is b?
-11, 0
Let j(r) be the second derivative of -1/9*r**4 - 74*r + 1/126*r**7 + 1/18*r**3 + 0 + 1/3*r**2 - 1/30*r**5 + 1/45*r**6. Determine f so that j(f) = 0.
-2, -1, 1
Suppose 3 = 3*k - 3*b, -7*k = -2*k + 2*b + 16. Let n be (k + 0 + 0)*-1. Solve -13 - 2 + 21*h**n + 12*h - 18*h**2 = 0 for h.
-5, 1
Factor -26*r - 3280*r**3 - 46*r**2 + 35*r**2 + 3294*r**3 - r**4.
-r*(r - 13)*(r - 2)*(r + 1)
Suppose 726 = -8*u + 5190. What is q in -98*q**4 + u*q**2 - 281*q - 969*q**3 + 216 - 367*q + 941*q**3 = 0?
-3, 6/7, 1
Suppose 29 - 49 = -5*w. Let u be 12/(-9) - (3 - (w + 3)). Factor 0 - 4/3*v - 4/3*v**3 - u*v**2.
-4*v*(v + 1)**2/3
Suppose 3*l = -12, -4*d = 9*l - 12*l - 36. Let u(j) be the second derivative of -1/105*j**d + 0*j**5 + 0*j**3 - 1/7*j**2 + 1/21*j**4 + 0 - 7*j. Solve u(k) = 0.
-1, 1
Let q(p) = 4*p**4 - 199*p**3 - 4986*p**2 - 8658*p + 13827. Let o(t) = 10*t**4 - 399*t**3 - 9972*t**2 - 17322*t + 27655. Let y(k) = 3*o(k) - 7*q(k). Factor y(u).
2*(u - 1)*(u + 3)*(u + 48)**2
Suppose 14*k + 141 = -4*k + 195. Let g = -908/7 + 130. Suppose -g*q**2 + 2/7*q**4 + 4/7*q - 4/7*q**k + 0 = 0. Calculate q.
-1, 0, 1, 2
Suppose 0 = 2*r - 5*t + 16, 0*t + 12 = -4*r + 5*t. Factor 86 + 158*v - 326 - 20*v**2 + 8*v**r + 210*v.
-4*(v - 30)*(3*v - 2)
Let n be (3 - (-6)/1)*(-2)/(-6). Suppose n*b - 3*t = -b + 2, 0 = -5*b + 3*t + 4. Factor -2*i + 15*i**b + 27*i**2 + 31 - 35.
2*(3*i - 1)*(7*i + 2)
Suppose 4*j = 971 - 915. Factor -8*v**4 + v**3 - j + 14 + 9*v**3 - 2*v**5.
-2*v**3*(v - 1)*(v + 5)
Let r = -122394/5 + 24479. Let k(o) be the third derivative of -4/3*o**3 + 0 + 1/60*o**6 + 3/4*o**4 + 0*o - r*o**5 + 5*o**2. Factor k(l).
2*(l - 4)*(l - 1)**2
Factor 216*k**2 + 1511*k - 81*k**2 - 1511*k + 3*k**3.
3*k**2*(k + 45)
Let n(i) = -9*i**2 - 209*i - 242. Let w be n(-22). Factor 1/4*h**4 + 0 + 0*h + w*h**2 - 1/2*h**3.
h**3*(h - 2)/4
Let q = 2971/185 - -131/37. Let g = 47 + -233/5. Find j such that g*j**2 + 28/5*j + q = 0.
-7
Let v = -8014 - -8014. Let l(k) be the third derivative of v + 0*k + 1/20*k**5 + 4*k**3 + 4*k**2 - 3/4*k**4. Determine z, given that l(z) = 0.
2, 4
Determine k, given that -9*k**2 + 9/2*k**4 + 12*k**3 - 12*k + 9/2 = 0.
-3, -1, 1/3, 1
Let m(w) = -30*w**2 + 155*w - 770. Let c(a) = 19*a**2 - 78*a + 386. Let d(b) = 5*c(b) + 3*m(b). Solve d(p) = 0 for p.
-19, 4
Let b(w) = 6*w - 32. Let v be b(6). Suppose 5*x + 25 = 0, -2*x + 105 = v*s + x. Let a**2 - 6*a**4 + 9*a**4 - 31*a + 5*a**3 + s*a = 0. Calculate a.
-1, 0, 1/3
Let f(m) be the first derivative of -2*m**5/7 + 3*m**4/2 - 8*m**3/21 - 3171. Factor f(o).
-2*o**2*(o - 4)*(5*o - 1)/7
Suppose -17 = -5*f + 3*q + 3, 4*f - q - 9 = 0. Let x be f + (2 - (1 + -2)). Factor 10*n**3 + 10*n**4 + 6*n - 15*n**x + 3*n**4 - 14*n**2.
-2*n*(n - 3)*(n - 1)**2
Let m(c) = -1508*c - 425. Let t(b) = -b**2 + 754*b + 213. Let s(a) = -3*m(a) - 7*t(a). Factor s(j).
(j - 108)*(7*j + 2)
Let r(o) be the second derivative of 2/5*o**3 - 2/5*o**4 + 0 + 3/20*o**5 - 1/50*o**6 - 110*o + 0*o**2. Determine t so that r(t) = 0.
0, 1, 2
Let s be (-209)/((6/6)/2). Let q = -5430/13 - s. Let -6/13*v**4 - 4/13*v + 6/13*v**2 + q*v**3 + 0 = 0. Calculate v.
-1, 0, 2/3, 1
Let c(y) be the second derivative of -y**7/168 + y**6/8 - 37*y**5/80 - 41*y**4/16 - 35*y**3/12 + 3164*y. Solve c(g) = 0.
-1, 0, 7, 10
Let p(t) be the first derivative of -t**6/75 + 2*t**4/15 + 41*t - 22. Let c(n) be the first derivative of p(n). Suppose c(v) = 0. What is v?
-2, 0, 2
Let t(v) = 5*v**2 - 3*v + 76. Let z(b) = 12*b**2 - 3*b + 153. Suppose -46 = -4*r - 5*c, 4*c + 11 = 4*r - 17. Let p(q) = r*t(q) - 4*z(q). Factor p(o).
-3*(o - 3)*(o + 8)
Let f(v) be the first derivative of v**5/20 + 27*v**4/4 + 1081*v**3/3 + 9504*v**2 + 123904*v - 11369. Factor f(u).
(u + 22)**2*(u + 32)**2/4
Solve 42*q**3 - 1607*q - 4180 - 6757*q - 4188*q**2 - 61*q**3 + 15*q**3 = 0.
-1045, -1
Let s(a) be the second derivative of -3*a + 99/32*a**4 - 3/160*a**5 - 3267/16*a**3 + 107811/16*a**2 - 13. Factor s(f).
-3*(f - 33)**3/8
What is t in 248/9*t + 1/9*t**5 + 59/9*t**4 + 775/9*t**3 + 3844/9 - 2879/9*t**2 = 0?
-31, -1, 2
Suppose -30 = 8*b - 18*b. Factor 1191*l**2 + 2772*l + 1452 + 20*l**3 - 79*l**3 - 67*l**b + 3*l**4.
3*(l - 22)**2*(l + 1)**2
Let r be 885*120/200*-1*1. Let k be ((-4)/3)/(1416/r). Determine v, given that -v - k*v**2 + 0 = 0.
-2, 0
Let j(u) be the first derivative of -5*u**4/4 + 770*u**3/3 + 780*u**2 + 2048. Factor j(o).
-5*o*(o - 156)*(o + 2)
Let o(b) be the second derivative of b**6/135 + 26*b**5/45 + 25*b**4/9 + 148*b**3/27 + 49*b**2/9 + 4342*b + 1. Solve o(u) = 0.
-49, -1
Let z(o) be the second derivative of -o**7/98 - 4*o**6/5 - 768*o**5/35 - 1536*o**4/7 - o - 53. Solve z(k) = 0.
-24, -16, 0
Let q(m) be the third derivative of 4*m**7/105 - 31*m**6/15 + 1001*m**5/30 - 605*m**4/3 + 2*m**2 - 11*m + 5. Factor q(y).
2*y*(y - 20)*(2*y - 11)**2
Let n be (-15)/9 + 119/21. Let q be 2/(-76)*n + 54/152. Factor 0*v**3 - 1/2*v**2 + 0*v + q + 1/4*v**4.
(v - 1)**2*(v + 1)**2/4
Let r(t) = -7*t**3 - 26*t**2 + 11*t + 24. Let s(n) = -100*n**3 - 365*n**2 + 155*n + 335. Let m(l) = -85*r(l) + 6*s(l). Suppose m(a) = 0. What is a?
-1, 2, 3
Factor -8939*d + 2*d**2 + 4490*d + 600 + 4579*d.
2*(d + 5)*(d + 60)
Let z = -1634/5 - -11448/35. What is q in -10/7*q**2 + 2/7*q**3 + z*q**4 + 0 + 6/7*q = 0?
-3, 0, 1
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