ve i(d) = 0 for d.
-7, 1/2
Let i = -232800 - -232802. Determine j so that 20/7 - 2/7*j**i + 18/7*j = 0.
-1, 10
Let l(a) be the first derivative of -3*a**5/5 - 753*a**4/4 - 15875*a**3 - 46875*a**2/2 - 3085. Factor l(v).
-3*v*(v + 1)*(v + 125)**2
Let u be (5/((-40)/166))/((-2)/8). Suppose 6*k + 100 + 44*k**2 - u*k**3 + 134*k + 87*k**3 = 0. What is k?
-5, -1
Suppose -3*y + 15 = -12*r - 111, -5*r - 50 = 0. Solve -y*t**2 + 0 + 2/5*t**4 - 6/5*t**3 + 2/5*t**5 - 4/5*t = 0 for t.
-1, 0, 2
Let j(c) be the third derivative of -c**6/40 + 2*c**5 - 419*c**4/8 + 190*c**3 + 23*c**2 - 135*c - 1. What is n in j(n) = 0?
1, 19, 20
Factor 0 + 1/6*r**4 - 7/3*r**3 - 49/6*r**2 - 17/3*r.
r*(r - 17)*(r + 1)*(r + 2)/6
Factor -42/5*d**2 + 0 - 6/5*d**4 + 48/5*d**3 + 0*d.
-6*d**2*(d - 7)*(d - 1)/5
Let f(m) be the first derivative of -1/38*m**4 + 0*m - 10/57*m**3 + 176 + 14/19*m**2. Determine h, given that f(h) = 0.
-7, 0, 2
Suppose -15*d + 2 = -14*d - 5*l, -2*l = 0. Determine v so that 15*v + 3*v**2 + 21*v + 9 - 2*v**d - 66*v + 20*v = 0.
1, 9
Let f be 13 + -19 - (-9 - 0). Factor -12*d**f - 60*d + 93*d**2 - 75 + 30 + 24.
-3*(d - 7)*(d - 1)*(4*d + 1)
Factor 2/13*l**2 - 430/13*l + 428/13.
2*(l - 214)*(l - 1)/13
Let j(r) be the second derivative of r**5/35 - 2*r**4/21 + 2*r**3/21 - 203*r - 2. Factor j(f).
4*f*(f - 1)**2/7
Suppose -8/5*c**3 + 16/5 - 138/5*c + 81/5*c**2 = 0. Calculate c.
1/8, 2, 8
Let y(r) = -10*r**2 + 117*r - 354. Let z(h) = -17*h**2 + 235*h - 707. Let i(u) = -5*y(u) + 3*z(u). Factor i(a).
-(a - 117)*(a - 3)
Let j be (5/((-5)/(-13)) - 6) + -7 - -3. Factor 0 - 2/9*s**j - 4/9*s - 2/3*s**2.
-2*s*(s + 1)*(s + 2)/9
Let x = -2627 + 1384. Let d = -4971/4 - x. Factor -d*y**2 + 3/2*y + 7/4.
-(y - 7)*(y + 1)/4
Suppose -24*g + 18 = -150. Let i(u) = -6*u**2 - 12*u - 10. Let r(t) = 11*t**2 + 24*t + 20. Let w(o) = g*i(o) + 4*r(o). Solve w(s) = 0 for s.
-5, -1
Let i(m) = 2*m**4 + 2*m**3 - m**3 + m**2 - m**4 - 341*m + 342*m. Let v(o) = o**4 + o**3 + 5*o**2 + 5*o. Let b(a) = 3*i(a) - v(a). Let b(k) = 0. What is k?
-1, 0, 1
Suppose 3*q - 410 = -d, -2086 = -6*d + d - 3*q. Suppose -3*g = -7*g + 8. Find i, given that -420*i**4 + 0*i**3 + d*i**4 + i**2 - i + 0*i**g + i**3 = 0.
-1, 0, 1
What is o in 786*o**2 - 60*o**5 + 78*o**4 - 864 - 174*o + 573*o**3 + 63*o**5 - 323*o - 79*o = 0?
-12, -2, -1, 1
Suppose -17 = -33*z + 1105. Factor 154*n + 262*n**2 - 227 + 27 - 98*n**4 - 84*n**3 - z*n.
-2*(n - 1)**2*(7*n + 10)**2
Let n = 207879 + -207876. Factor 0*v + 0 - 1/4*v**4 + 5/2*v**2 + 3/4*v**n.
-v**2*(v - 5)*(v + 2)/4
Let k(u) be the first derivative of 7/24*u**3 + 42*u + 5/8*u**2 + 1/24*u**4 + 3. Let v(x) be the first derivative of k(x). Factor v(g).
(g + 1)*(2*g + 5)/4
Factor 32 + 2/3*v**2 - 52/3*v.
2*(v - 24)*(v - 2)/3
Factor 3/2 - 1/6*l**3 + 3/2*l - 1/6*l**2.
-(l - 3)*(l + 1)*(l + 3)/6
Suppose -5*r = -2*j + 6, r + 39 = 5*j - 22. Suppose y + j = 4*z, -48*z + 3*y - 1 = -46*z. Factor -1/7*x + 0 + 5/7*x**3 + 1/7*x**2 + 3/7*x**z.
x*(x + 1)**2*(3*x - 1)/7
Let r(l) be the first derivative of -3*l**4/8 - 75*l**3/2 + 174*l**2 - 234*l - 749. Let r(g) = 0. Calculate g.
-78, 1, 2
Let d(z) = -16*z - 109. Let f be d(-7). Let t(a) be the first derivative of 11 + 2/3*a**2 + 2/27*a**f + 2*a. Factor t(y).
2*(y + 3)**2/9
Let f(p) = -17*p + 1. Let r(g) = 3*g**2 - 39*g - 825. Let m(h) = 9*f(h) + r(h). Determine d so that m(d) = 0.
-4, 68
Let f be 2079/(-54) + 34 + (-35)/(-6). Let z(n) be the first derivative of -8*n + 3 + 6*n**2 - f*n**3. Determine j, given that z(j) = 0.
1, 2
Let o(f) = 120*f + 963. Let i be o(-8). Let p(g) be the first derivative of -81/2*g**2 + 25*g**i + 48/5*g**5 + 54*g**4 + 12*g + 9. Factor p(x).
3*(x + 1)*(x + 4)*(4*x - 1)**2
Let x(o) = 2*o**4 + 2*o**2 + o. Let w(c) = -2*c**5 - 10*c**4 + 174*c**3 - 134*c**2 + 82*c. Let l(p) = -2*w(p) + 44*x(p). Solve l(s) = 0.
-30, 0, 1
Let a(v) = v**3 - 211*v**2 + 9239*v + 187. Let q be a(149). Solve 946/5*x**2 + 392/5 - 2278/5*x**3 - 138*x**4 + q*x - 10*x**5 = 0 for x.
-7, -2/5, 1
Let v(y) = y**2 + 2*y + 2. Let u(j) = 8*j**2 + 2*j + 25. Suppose -3*o - 168 = -9*o. Let q(x) = o*v(x) - 4*u(x). Factor q(k).
-4*(k - 11)*(k - 1)
Factor -422*r**2 - 618272 + 137*r**2 + 138*r**2 + 145*r**2 + 2224*r.
-2*(r - 556)**2
Suppose 178 - 1160 + 64 = -17*i. Suppose 38*a - 37*a - 3 = 0. Factor i*d**4 + 0 + 146/9*d**2 - 50*d**a - 6*d**5 - 16/9*d.
-2*d*(d - 8)*(3*d - 1)**3/9
Let y(z) be the second derivative of -1/34*z**4 - 3/170*z**5 - 1/255*z**6 - 5*z - 1/51*z**3 + 0*z**2 + 3. Determine d, given that y(d) = 0.
-1, 0
Let x = -604 - 1639. Let n = 2246 + x. Factor -44/15*y**2 + 0 + 242/15*y + 2/15*y**n.
2*y*(y - 11)**2/15
Suppose -203*f + 206*f = 12. What is k in -39 + 15*k**4 + 15*k**f - 1 + 509*k**2 - 5*k**5 - 499*k**2 - 55*k**3 + 60*k = 0?
-1, 1, 2
Factor -3/4*s**2 + 2025/2*s - 1366875/4.
-3*(s - 675)**2/4
Let h = 37436 + -37432. Find f, given that -12/5*f**2 + 0 - 6/5*f**3 + 0*f + 6/5*f**h = 0.
-1, 0, 2
Let -576/5*w - 36/5*w**4 + 96 + 3/5*w**5 + 123/5*w**3 + 6/5*w**2 = 0. Calculate w.
-2, 1, 4, 5
Let o(t) be the third derivative of -t**5/510 + 773*t**4/102 - 597529*t**3/51 + 4159*t**2. Suppose o(h) = 0. Calculate h.
773
Let c(v) be the first derivative of -4*v**3/21 + 50*v**2/7 + 216*v/7 - 1415. Factor c(j).
-4*(j - 27)*(j + 2)/7
Let z(d) = -13*d - 150. Let s be z(-18). Let f be 785/28 + 7/s*3. Factor f*b - 242/7 + 6*b**2 + 2/7*b**3.
2*(b - 1)*(b + 11)**2/7
Let -7/4*m**5 - 1441/2*m**4 - 293323/4*m**3 + 0 + 170982*m**2 - 42849*m = 0. What is m?
-207, 0, 2/7, 2
Let u(s) = s**3 - 6*s**2 + 3*s - 15. Let p be u(6). Factor -4931*q + q**2 + p*q**3 + 4931*q.
q**2*(3*q + 1)
Let i(n) = -15*n**3 + 57*n**2 + 351*n + 18. Let a(s) = 8*s**3 - 28*s**2 - 175*s - 10. Let h(k) = -9*a(k) - 5*i(k). Factor h(y).
3*y*(y - 15)*(y + 4)
Let z(s) = -37*s**3 - 183*s**2 - 10*s + 10. Let g(a) = 296*a**3 + 1462*a**2 + 80*a - 85. Let n(p) = -10*g(p) - 85*z(p). Solve n(y) = 0 for y.
-5, -2/37, 0
Solve -2*n**3 + 171 + 1183*n - 943*n + 22*n**2 + 45 = 0 for n.
-6, -1, 18
Let u = 2287719 + 369866. Factor 2*g**5 - 1600*g**3 + 9194*g**3 - 1057585*g - 160000*g**2 - 6400000 + u*g - 200*g**4 + 406*g**3.
2*(g - 20)**5
Determine y, given that -2*y**2 - 939*y**3 + 4*y + 8*y**2 + 457*y**3 + 458*y**3 + 14*y**4 = 0.
-2/7, 0, 1
Factor -5*u**3 - 103879*u**2 + 3*u**3 + 104131*u**2.
-2*u**2*(u - 126)
Let z(r) = -r**2 + 2*r + 4. Let q be z(1). Solve -25*p**3 - 17 - 23 + 14*p**3 - q + 75*p + 16*p**3 - 35*p**2 = 0.
1, 3
Let p = -4582 + 4587. Let b(g) be the first derivative of 7*g**2 + 6*g**3 + 2/5*g**p - 5 + 4*g + 5/2*g**4. Suppose b(m) = 0. What is m?
-2, -1
Suppose -v = 12*v - 39. Suppose v*m - 18 = -6*m. Solve d**m - 39*d**2 + 27*d**3 - 36*d - 12*d**5 - 10*d**2 + 27*d**4 = 0 for d.
-1, -3/4, 0, 2
Determine b, given that -1/3*b**2 - 588 + 28*b = 0.
42
Let h(z) be the second derivative of z**4/84 - 8*z**3/7 + 407*z**2/14 - 18*z + 3. Factor h(q).
(q - 37)*(q - 11)/7
Let t(z) be the third derivative of z**7/42 - z**6/8 - 25*z**5/12 - 35*z**4/8 + 2*z**2 - 723. Factor t(n).
5*n*(n - 7)*(n + 1)*(n + 3)
Let n(f) be the first derivative of -2*f**3/39 - 5*f**2 + 408*f/13 + 429. Find u, given that n(u) = 0.
-68, 3
Suppose 241/2*p + 9/2*p**3 - 84 - 327/8*p**2 - 1/8*p**4 = 0. Calculate p.
1, 4, 7, 24
Let k(b) be the third derivative of b**6/40 - 177*b**5/20 + 4*b**2 - 97*b. Factor k(l).
3*l**2*(l - 177)
Let k be (-1792)/441 - (-150)/35. Factor -116/9*f - 1682/9 - k*f**2.
-2*(f + 29)**2/9
Factor 0 + 3/2*a**3 + 0*a + 987/2*a**2.
3*a**2*(a + 329)/2
Let y(n) be the second derivative of -15*n**7/14 - 325*n**6/3 - 11727*n**5/4 + 2715*n**4/2 + 88560*n**3 + 58320*n**2 + 3085*n. Determine i so that y(i) = 0.
-36, -3, -2/9, 3
Let m(d) be the second derivative of d**4/102 - 202*d**3/51 + 201*d**2/17 + 3*d - 597. Suppose m(o) = 0. What is o?
1, 201
Suppose -2392*u + 148 = -611 + 75 - 4100. Let 0 + 1/5*l**4 - l**3 + l - 1/5*l**u = 0. What is l?
-1, 0, 1, 5
Solve 1396/7*p + 243602/7 + 2/7*p**2 = 0 for p.
-349
Let a(g) = 29*g + 32*g - 129*g + 33*g + 275 + 27*g. Let s be a(34). Let 6*z**2 + 98 - 2/7*z**s - 42*z = 0. Calculate z.
7
Suppose -601 = -187*o + 253 - 293. Let j(k) = 4*k**2. Let v be j(1). Factor -6/7*x**o + 0 + 6/7*x + 2/7*x**2 - 2/7*x**v.
-2*x*(x - 1)*(x + 1)*(x + 3)/7
Let c(j) = j**3 + 30*j**2 - 66*j - 61. Let o be c(-32). Let u = 