 1552/7*q + 1544/7 - 2/7*q**3.
-2*(q - 193)*(q - 2)**2/7
Suppose 446/9*a**2 - 1808/9*a + 1816/9 + 2/9*a**3 = 0. Calculate a.
-227, 2
Suppose 2*f - 911 = -527. Let z = 1353/7 - f. Suppose 9/7*x**3 - 3/7*x**4 - z*x**2 + 3/7*x + 0 = 0. What is x?
0, 1
Suppose -t + 8 = 3*x + x, -t + 2 = x. Let -50*j - 48 + 34*j - 16*j**x + 20*j**2 = 0. Calculate j.
-2, 6
Factor -6684*o - 428*o - 3*o**4 + 11250 - 165*o**3 - 1363*o - 2607*o**2.
-3*(o - 1)*(o + 6)*(o + 25)**2
Let x(n) be the second derivative of n**5/20 - 7*n**4/3 + 88*n**3/3 - 160*n**2 + 2*n - 542. Factor x(p).
(p - 20)*(p - 4)**2
Factor -308*t**2 + 46*t + 129*t**2 - 273 + 178*t**2.
-(t - 39)*(t - 7)
Let l(n) = -163*n + 678. Let h be l(10). Let i = h - -957. Suppose 0 - 3/2*f**3 - 5/2*f**4 + 1/2*f - f**i + 1/2*f**2 = 0. What is f?
-1, 0, 1/2
Let n be (0*13/312)/(-3 - (-4 - 1)). Solve -10/7*x**4 + n*x - 8/7*x**2 + 24/7*x**3 + 0 = 0 for x.
0, 2/5, 2
Let u(b) be the first derivative of -2*b**3/3 - 1643*b**2/2 - 821*b + 5340. Determine t so that u(t) = 0.
-821, -1/2
Determine f, given that -33/4*f**2 - 177/4*f + 33/4*f**3 - 27 - 3/4*f**4 = 0.
-1, 4, 9
Let l(b) = -b**2 + 386*b - 13219. Let k be l(38). Factor 0*d + 8/3*d**3 + 0 + 1/3*d**k + 2*d**4 + 0*d**2.
d**3*(d + 2)*(d + 4)/3
Let k(j) be the first derivative of j**5/110 - 3*j**4/22 + 8*j**3/11 - 16*j**2/11 + 121*j - 11. Let l(p) be the first derivative of k(p). Factor l(i).
2*(i - 4)**2*(i - 1)/11
Let v(h) be the second derivative of 1/15*h**6 + 65 + 1/5*h**5 - 1/21*h**7 + h - 1/3*h**3 - 1/3*h**4 + h**2. Determine l, given that v(l) = 0.
-1, 1
Suppose -306 = -2*c - 302. Factor 3*m - 5*m**2 + 2 + 2*m - c.
-5*m*(m - 1)
Suppose -5/2*i**4 - 8 + 20*i + 10*i**3 + 1/4*i**5 - 20*i**2 = 0. Calculate i.
2
Let j(k) be the third derivative of 1/280*k**7 + 3/160*k**6 + 0*k**5 + 0 - 15*k**2 + 0*k**3 + 0*k**4 + 0*k. Find f such that j(f) = 0.
-3, 0
Let k(m) be the first derivative of 2*m**5/25 - 327*m**4/10 + 652*m**3/15 - 2724. Find p such that k(p) = 0.
0, 1, 326
Let a(i) be the third derivative of i**6/30 + 109*i**5/5 + 217*i**4/2 + 650*i**3/3 - 2272*i**2. Factor a(p).
4*(p + 1)**2*(p + 325)
Let k be (-2 - 51/(-36))*1*15/(-70). Suppose -k*o - 3/2 + 1/8*o**2 = 0. Calculate o.
-3, 4
Let g(u) be the second derivative of u**7/168 + 59*u**6/24 + 1387*u**5/5 + 5329*u**4/4 - 30*u + 6. Factor g(y).
y**2*(y + 3)*(y + 146)**2/4
Let o(k) = -5*k**2 - 24*k - 24. Let s(v) = 83*v + 26 + 21 + 10*v**2 - 36*v. Let j = -1 - 6. Let t(w) = j*o(w) - 4*s(w). Find g, given that t(g) = 0.
-2
Let l(f) = 13*f + 120. Let j be l(-8). Solve 14*d**4 - j*d**2 + 37*d**4 - 96*d + 424*d**3 + 42*d**4 - 9*d**4 + 0*d**4 - 396*d**5 = 0 for d.
-2/3, 0, 6/11, 1
Let o(k) = -3*k**3 - 37*k**2 + 29*k + 375. Let g(d) = 5*d**3 + 75*d**2 - 60*d - 750. Let n be (-9*(-3)/9)/((-3)/(-2)). Let v(p) = n*g(p) + 5*o(p). Factor v(c).
-5*(c - 3)*(c + 5)**2
Let v = -48 + 50. Suppose -v*b + 5*b = 9. Factor -3*r**2 - r**2 - 28*r**3 + 24*r**b + 9*r - r.
-4*r*(r - 1)*(r + 2)
Let b = 15658 - 78266/5. Let 216/5*a + 0 + 2/15*a**3 - b*a**2 = 0. Calculate a.
0, 18
Let a(i) be the third derivative of -17*i**8/24 - 55*i**7/42 + 7*i**5/12 - i**4/12 + 327*i**2. Let a(v) = 0. Calculate v.
-1, -1/2, 0, 1/17, 2/7
Let v(s) be the second derivative of -s**5/90 + s**4/6 + 13*s**2 - 84*s. Let g(f) be the first derivative of v(f). Factor g(w).
-2*w*(w - 6)/3
Let s = -27 - -31. Let d be 4 + 4*17/s. Suppose 36*x**2 + x - 65*x - d + 5 = 0. Calculate x.
-2/9, 2
Let m(y) = 28*y**3 + 634*y**2 - 618*y - 1259. Let c(b) = 68*b**3 + 1584*b**2 - 1548*b - 3148. Let k(d) = 5*c(d) - 12*m(d). Factor k(x).
4*(x - 2)*(x + 1)*(x + 79)
Find y, given that 0 - 132*y**2 - 93*y**3 - 27/2*y**4 + 0*y = 0.
-44/9, -2, 0
Suppose 4*u + 95 = 107. Suppose u*h - 3*c = -4 + 1, h - 2*c = -4. Find o, given that 2/3*o + 2/9*o**3 + 2/9 + 2/3*o**h = 0.
-1
Let m(z) = -7*z**2 - 64*z + 1160. Let g(k) = -5*k**2 - 65*k + 1159. Let p(i) = 4*g(i) - 3*m(i). Solve p(f) = 0 for f.
34
Let n(o) be the first derivative of 6*o**5/125 + 23*o**4/50 - 334*o**3/75 - 127*o**2/25 + 24*o/5 + 112. Determine b so that n(b) = 0.
-12, -1, 1/3, 5
Let w = 2381 + -2379. Let l(q) be the first derivative of 2/15*q**3 - 3/10*q**w + 0*q - 5 + 1/20*q**4. Determine v so that l(v) = 0.
-3, 0, 1
Let g(w) = -w**2 + 13*w + 71. Let i be g(17). Factor 49*f**3 + 5*f**4 - 4*f**i + 65*f**2 - 168 - 326 - 225*f + 244.
5*(f - 2)*(f + 1)*(f + 5)**2
Let t(k) be the first derivative of 9*k**5/5 + 119*k**4/4 + 134*k**3/3 + 12*k**2 + 811. Suppose t(x) = 0. Calculate x.
-12, -1, -2/9, 0
Suppose 182*k - 2124 = 5*k. Let l(w) be the third derivative of -7/108*w**4 + 0*w + 0 + 2/27*w**3 - k*w**2 + 1/54*w**5. Factor l(m).
2*(m - 1)*(5*m - 2)/9
Let w(v) = -2*v**2 - 552*v + 39760. Let f(k) = 4*k**2 + 546*k - 39759. Let j(q) = -2*f(q) - 3*w(q). Solve j(c) = 0.
141
Let j(q) be the first derivative of -8 + 0*q + 1/10*q**5 + 11/6*q**3 + 3/4*q**4 + 3/2*q**2. Let j(t) = 0. What is t?
-3, -2, -1, 0
Let c(z) = -42*z**3 + 1168*z**2 + 2191*z + 978. Let k(d) = -157*d**3 + 4672*d**2 + 8764*d + 3911. Let u(x) = 9*c(x) - 2*k(x). Suppose u(m) = 0. Calculate m.
-7/8, 20
Let g(a) be the second derivative of -3*a**5/28 + 661*a**4/14 - 43824*a**3/7 + 52272*a**2/7 + 897*a. Find b such that g(b) = 0.
2/5, 132
Let s(w) be the third derivative of -w**6/120 - 207*w**5/20 + 26*w**4 + 622*w**3/3 - 20*w**2 + 143. Factor s(k).
-(k - 2)*(k + 1)*(k + 622)
Let t(l) be the third derivative of l**5/130 + 5*l**4/78 + 8*l**3/39 + 2*l**2 - 729*l. Let t(v) = 0. Calculate v.
-2, -4/3
Let k be (-6)/((2 - 6/108) + -2). Let 128*y - 5*y**3 + 63*y**2 + 6*y**3 + k + 20*y + 2*y**3 + 20*y = 0. Calculate y.
-18, -2, -1
Let h be ((8 - 8) + -4)/2. Let j(u) = -10*u**3 + 3*u**2 + 14*u + 1. Let o(l) = l**3 + 2*l**3 - 4*l**3 + l. Let m(q) = h*j(q) + 22*o(q). Solve m(a) = 0.
-1
Solve -4374*j - 4470*j - 3*j**2 - 2*j**2 + 8949*j = 0 for j.
0, 21
Let f(w) be the second derivative of w**5/45 - w**4/6 - 19*w**2 - 55*w. Let u(r) be the first derivative of f(r). Factor u(x).
4*x*(x - 3)/3
Let k = 202 - 117. Factor k*j - 2000 - 109*j - 176*j - 5*j**2.
-5*(j + 20)**2
Suppose 4*h - 568 = 4*p, -602 = -5*h - p + 96. Let 72*y**2 + 72*y**2 - h*y**2 + 3*y**4 + 5*y**4 - 18*y**3 = 0. What is y?
0, 1/4, 2
Suppose -2*t + 6 = 16, 30 = -2*b + 2*t. Let a be -8 + 85*(-2)/b. What is u in 3/8*u + a*u**2 - 7/8*u**3 + 0 = 0?
-3/7, 0, 1
Factor -77*o - 81*o**4 + 600*o**3 + 4*o**5 - 68*o**4 + 127*o - 592*o**2 - 59*o**4 + 146*o.
4*o*(o - 49)*(o - 1)**3
Let f be (-6 + 1)*1376/80. Let l = -52 - f. Determine r so that 15*r**3 + 14*r**3 - l*r**3 = 0.
0
Let s(h) = -5*h - 270. Let l be s(-54). Let j(t) be the third derivative of l - 1/180*t**5 + 0*t**3 - 7*t**2 + 1/72*t**4 + 0*t. Factor j(v).
-v*(v - 1)/3
Let b(x) = 6*x**2 - 28*x - 162. Let j(w) = 14*w**2 - 54*w - 324. Let v(o) = o**3 + 11*o**2 + 11*o - 54. Let d be v(-9). Let t(i) = d*b(i) - 4*j(i). Factor t(l).
-2*(l + 9)**2
Suppose -4*f**3 - 340 + 103 + 157 + 36*f + 116 - 4*f**2 = 0. What is f?
-3, -1, 3
Let i(f) = 20*f**4 + 212*f**3 - 428*f**2 - 676*f - 280. Let p(a) = 3*a**4 + 33*a**3 - 66*a**2 - 104*a - 43. Let v(b) = 5*i(b) - 32*p(b). Solve v(t) = 0 for t.
-2, -1, 3
Let k(t) be the second derivative of 0 - 5/27*t**4 - 1/45*t**5 + 2/63*t**7 + 0*t**2 - 4/27*t**3 + 2/27*t**6 - 7*t. What is v in k(v) = 0?
-1, -2/3, 0, 1
Suppose 8*q + 1 = 6*q - 5*x, 2*x = q - 4. Let i = -92 + 645/7. Factor 9/7 + 6/7*y + i*y**q.
(y + 3)**2/7
Find p, given that 37585 - 21423 + 1776*p - 112*p**2 - 4*p**3 - 21922 = 0.
-40, 6
Let u(o) be the second derivative of 9*o + 3/4*o**2 + 4 - 5/8*o**3 - 3/80*o**5 + 1/4*o**4. Factor u(v).
-3*(v - 2)*(v - 1)**2/4
Suppose 318*p**2 - 1041/2*p + 3/2*p**5 - 105*p**4 + 207 + 99*p**3 = 0. Calculate p.
-2, 1, 69
Let j be 4*1*(40 + -4). Let f = 148 - j. Factor 0*m - 9/2*m**3 + 0*m**2 + 0 + 3*m**f - 1/2*m**5.
-m**3*(m - 3)**2/2
Factor -28/9*v**2 - 34/3*v + 2/9*v**3 + 0.
2*v*(v - 17)*(v + 3)/9
Let m(s) = -12*s**2 + 12*s + 48. Let y be 4*10/(-25)*10. Let x(c) = -4*c**2 + 4*c + 15. Let a(n) = y*x(n) + 5*m(n). Factor a(j).
4*j*(j - 1)
Let m(b) be the first derivative of -2/9*b**3 + 0*b + 68 + 2/3*b**2 - 1/6*b**4. Factor m(u).
-2*u*(u - 1)*(u + 2)/3
Let v(q) be the second derivative of -q**7/70 + 61*q**6/180 + 7*q**5/15 + 2*q**4/3 + 50*q. Let m(s) be the third deriv