Suppose 0 - 132/5*i - 1/10*i**3 - 7/2*i**2 = 0. Calculate i.
-24, -11, 0
Let s = -199166 - -199168. Determine n, given that 2/3*n**s - 28/3*n - 64/3 = 0.
-2, 16
Suppose 0 = -0*o + 2*o - 4*p + 4, -3*p + 9 = 0. Solve -91 - 48 - 44 - 3*k**2 - 9*k**2 + o*k**3 + 243 - 52*k = 0.
-3, 1, 5
Let j(v) be the third derivative of 7*v**6/60 - 1829*v**5/30 - 3449*v**4/6 + 2120*v**3/3 - 5*v**2 - 2*v + 697. Determine l so that j(l) = 0.
-4, 2/7, 265
Let i = 38450/9 + -4272. Let i*d**5 + 2/3*d**4 + 0 + 4/9*d**3 + 0*d + 0*d**2 = 0. What is d?
-2, -1, 0
Let h(i) be the first derivative of i**3/27 - 1064*i**2/9 + 1132096*i/9 - 1143. Factor h(k).
(k - 1064)**2/9
What is d in -42*d**4 - 416*d + 2626*d + 2*d**5 + 479*d**2 + 1036*d**2 - 183*d**2 + 1014 + 92*d**3 = 0?
-3, -1, 13
Let z = 74301/7 - 10614. Let s(v) be the third derivative of 0 + 4/105*v**5 + 1/70*v**6 - 1/14*v**4 - z*v**3 + 1/735*v**7 + 0*v + 11*v**2. Solve s(h) = 0.
-3, -1, 1
Let x(m) = 52*m**2 + 19664*m + 2998. Let u(l) = 26*l**2 + 9832*l + 1498. Let g(h) = 13*u(h) - 7*x(h). Factor g(a).
-2*(a + 378)*(13*a + 2)
Find d, given that 0 - 4/3*d**4 - 16*d**2 - 20*d**3 + 112/3*d = 0.
-14, -2, 0, 1
Let k = 329086/45 + -7313. Let u(a) be the third derivative of 1/180*a**6 + 0*a + 12*a**2 + 0*a**3 + 0*a**4 + 0 + k*a**5 - 1/315*a**7. Factor u(r).
-2*r**2*(r - 2)*(r + 1)/3
Let w(c) be the third derivative of -c**5/12 - 85*c**4/2 - 8670*c**3 - 1514*c**2. Find a such that w(a) = 0.
-102
Determine o so that 544*o**4 + 115*o + 237*o**2 - 51*o**3 - 304*o - 1090*o**4 + 549*o**4 = 0.
0, 1, 7, 9
Let f(k) = -2*k**3 - 3*k - 29. Let l be f(-3). Let -o**3 + l - 76 - 2*o**2 + 4*o - o**3 + 42 = 0. What is o?
-2, 0, 1
Let r(d) = d**3 - 361*d**2 + 1379*d + 17541. Let t be r(357). Solve 864 + 2/3*q**2 - t*q = 0.
36
Let v(f) be the first derivative of 4*f**2 + 19 + 2/9*f**3 + 40/3*f. Factor v(y).
2*(y + 2)*(y + 10)/3
Suppose 825*g**2 - 4*g**4 - 1040*g**3 - g**4 - 3*g**4 + 3*g**4 + 815*g + 225*g**3 - 820 = 0. Calculate g.
-164, -1, 1
Let i be 44649/116235 + 2/45. Factor 0 + 0*t**2 + 3/7*t**4 + 0*t - 6/7*t**3 + i*t**5.
3*t**3*(t - 1)*(t + 2)/7
What is g in 1/4*g**2 - 139/4*g + 0 = 0?
0, 139
Suppose 0 = 42*r - 23*r + 646. Let x be (-35)/(-20) - (4 - r/(-8)). Suppose 0 + 2/9*s + 5/3*s**3 - 11/9*s**4 - s**x + 1/3*s**5 = 0. Calculate s.
0, 2/3, 1
Let w be -5*(-2)/(-3)*((-1704)/(-60) - 29). Find h, given that 74/3*h**w - 3*h**3 + 65/3*h - 6 = 0.
-1, 2/9, 9
Suppose -284*d + 628*d - 6020 = -1161*d. Solve 0*t - 9/5*t**d + 36/5*t**2 + 12/5*t**3 - 3/5*t**5 + 0 = 0.
-3, -2, 0, 2
Let g be (3 - 0)/(21/140*5). Suppose 0 = -g*f + 4*h - 2 - 6, 2*f - 1 = h. Factor 0*r + 0 + 5/2*r**4 + 15/2*r**2 + 10*r**f.
5*r**2*(r + 1)*(r + 3)/2
Suppose 5 = -3*m - 1, -m = -5*n - 3. Let o be n/2*(1 + -7) + -1. Solve 321*r - 4*r**o - 361*r + 28 - 108 - r**2 = 0 for r.
-4
Let v be (-9 + 6)/(4 - 5). Let a(b) be the second derivative of 0 - 22*b - 1/48*b**4 - 2*b**2 + 1/3*b**v. Factor a(p).
-(p - 4)**2/4
Let f = -139 + -197. Let z = f + 338. Factor 6/11*i**z + 0*i**3 - 2/11*i**4 + 4/11*i + 0.
-2*i*(i - 2)*(i + 1)**2/11
Let d(s) be the second derivative of 0 - 1/7*s**3 - 1/70*s**5 + 10/7*s**2 - 48*s - 1/7*s**4. Factor d(q).
-2*(q - 1)*(q + 2)*(q + 5)/7
Find q such that 17/2*q**3 + 567 + 397/4*q**2 + 450*q + 1/4*q**4 = 0.
-14, -9, -2
Let r(q) be the third derivative of q**8/12600 + q**7/6300 - q**6/2700 - q**5/900 + 2*q**3 - 2*q**2 - 6. Let x(y) be the first derivative of r(y). Factor x(s).
2*s*(s - 1)*(s + 1)**2/15
Suppose -8 = -4*o + 4*g + 16, 0 = -5*g - 20. Factor 2650*f + o*f**2 - 4*f**2 - 2664*f + 16.
-2*(f - 1)*(f + 8)
Let w = 57 - 25. Let -101*j**3 + w*j**2 + j**3 + 11397*j**4 - 11385*j**4 = 0. Calculate j.
0, 1/3, 8
Let w = -5573/205 - -1131/41. Let -w*n**2 - 72/5 + 24/5*n = 0. What is n?
6
Factor -x**4 - 420*x**3 - 1310744*x**2 - 174720*x + 173056 + 1355676*x**2 + 2*x**4.
(x - 208)**2*(x - 2)**2
Suppose 3*t = -t. Suppose -18 = -6*s - t. Factor -5*w**4 - 2538*w**3 + 5*w + 2533*w**s + 6*w**2 - w**2.
-5*w*(w - 1)*(w + 1)**2
Let u be 5*((-92)/(-40) - (-2)/(-4)). Suppose y - 3*b - u = 10, 5*b = 5*y - 65. Factor -y*h**3 - 6*h - 51 + 14*h**2 + 51 + 2*h**4 + 0*h**4.
2*h*(h - 3)*(h - 1)**2
Let y(f) be the third derivative of 2*f**7/105 - 57*f**6/10 + 334*f**5/5 - 994*f**4/3 + 880*f**3 + 3665*f**2. Factor y(g).
4*(g - 165)*(g - 2)**3
Let l(w) = 2*w**5 + 153*w**4 + 965*w**3 - 2403*w**2 + 1277*w. Let j(m) = -m**5 + m**4 - m**2 - m. Let u(k) = -3*j(k) + l(k). Factor u(g).
5*g*(g - 1)**2*(g + 16)**2
Let p(f) = -7*f**4 + 8*f**3 - f**2 + 3*f + 3. Let d = 287 - 288. Let x(s) = -s**2 - 1 + 2*s**4 + 2*s**4 - s - 3*s**4. Let q(z) = d*p(z) - 3*x(z). Factor q(u).
4*u**2*(u - 1)**2
Let u(d) = -5*d**2 - 183*d - 124. Let v(b) = -15*b**2 - 538*b - 379. Let i(a) = 8*u(a) - 3*v(a). Factor i(g).
5*(g + 1)*(g + 29)
Let c = -474768 + 474770. Factor f**3 - 4*f - 2/3*f**c - 8/3 + 1/3*f**4.
(f - 2)*(f + 1)*(f + 2)**2/3
Let o(m) be the second derivative of -m**4/12 - 5*m**3/2 - 27*m**2 + 632*m. Determine z, given that o(z) = 0.
-9, -6
Let r be (575/(-299))/((-3)/1308). Let n = r + -838. Solve 0 - n*v - 2/13*v**3 + 8/13*v**2 = 0 for v.
0, 1, 3
Suppose 9 = -6*c + 27. Suppose 3*d - 7 = -a + c*a, d = -4*a + 7. Solve 2/5*v**4 - 2/5*v**2 - 2/5*v**d + 2/5*v + 0 = 0 for v.
-1, 0, 1
Let u = 52 + -57. Let l(x) = -3*x**2 + 43*x - 192. Let z(f) = 3*f**2 - 42*f + 192. Let m(j) = u*z(j) - 6*l(j). Suppose m(y) = 0. What is y?
8
Let a(o) = 3*o**3 + 331*o**2 - 221*o + 114. Let c be a(-111). Let -58/5*g**2 + 0 + 2*g**c - 12/5*g = 0. Calculate g.
-1/5, 0, 6
Let j be (2 + -9 - 37)/(1*-2). Suppose -11*d + 0 + j = 0. Determine m, given that 1/4*m**2 + 7/4 - d*m = 0.
1, 7
Suppose 27 = 8*b + 3. Factor 37*j**2 + 43*j - 5*j**b - 13*j**2 + 152*j + 66*j**2 + 100.
-5*(j - 20)*(j + 1)**2
Let m(k) be the third derivative of 0*k**3 + 2*k**2 + 0 + 1/945*k**7 + 50*k + 1/540*k**6 - 1/27*k**5 + 2/27*k**4. Factor m(n).
2*n*(n - 2)*(n - 1)*(n + 4)/9
Suppose 21*p = -3*p + 8*p. Suppose 74*l - 2*l**3 - 162*l + 12*l**2 + p + 16 + 64*l = 0. Calculate l.
2
Let j(k) = -380*k - 13677. Let x be j(-36). Factor 125/3*n**2 + 1/3*n**4 - 152/3*n - 34/3*n**x + 20.
(n - 30)*(n - 2)*(n - 1)**2/3
Factor 2489/3*z**2 + 1547536/3 + 1/3*z**3 + 1550024/3*z.
(z + 1)*(z + 1244)**2/3
Let t(u) = 9*u**5 + 4*u**4 - 77*u**3 + 248*u**2 - 328*u + 144. Let s(l) = 2*l**5 - l**3 - l. Let n(f) = -12*s(f) + 3*t(f). Suppose n(g) = 0. Calculate g.
-12, 1, 2, 3
Suppose -3*n + 6 = 9, -5*b + 3 = -3*n. Let a(d) be the third derivative of d**3 + b*d + 0 - 3/8*d**4 + 3*d**2 + 1/20*d**5. Factor a(g).
3*(g - 2)*(g - 1)
Let p(u) = u**2 + 73*u - 66. Let a(v) be the second derivative of v**4/12 + 145*v**3/6 - 66*v**2 + 4*v + 40. Let y(z) = -4*a(z) + 7*p(z). Factor y(q).
3*(q - 22)*(q - 1)
Let a(r) be the second derivative of -r**4/48 - 3247*r**3/12 - 10543009*r**2/8 - 4212*r. What is w in a(w) = 0?
-3247
Factor -8/3*l - 1/6*l**2 + 0.
-l*(l + 16)/6
Let b(o) be the first derivative of -3*o**4/8 - 31*o**3/6 - 7*o**2 - 173. What is f in b(f) = 0?
-28/3, -1, 0
Let c(t) = -t**4 - 2*t**3 + t**2 - 1. Let i(d) = 2*d**4 + 5*d**3 - 4*d**2 - 7*d + 7. Let l(z) = -c(z) - i(z). Factor l(g).
-(g - 1)**2*(g + 2)*(g + 3)
Let v(y) be the second derivative of 1/66*y**4 + 12/11*y**2 - 97 - y + 8/33*y**3. Find z such that v(z) = 0.
-6, -2
Let p = -366 - -380. Find x, given that -15*x**2 - 4*x**4 - 4*x**4 + 10*x**4 - 18*x**3 - 19*x**2 - p*x**3 = 0.
-1, 0, 17
Let s(f) be the first derivative of 1/9*f**4 + 9 + 0*f**3 + 0*f**2 + 1/15*f**5 + f. Let r(n) be the first derivative of s(n). Factor r(k).
4*k**2*(k + 1)/3
Factor 565/2 + 7/4*l**3 - 2827/4*l - 1975/2*l**2.
(l - 565)*(l + 1)*(7*l - 2)/4
Determine q so that 167 + 9*q**4 + 373 + 20*q**3 + q**5 - 540 = 0.
-5, -4, 0
Let x be (-4 + 133/28)*(-2 + 14). Let f(l) be the first derivative of -2/5*l**2 + x - 4/15*l**3 + 0*l. Factor f(b).
-4*b*(b + 1)/5
Suppose 2*d = -313 + 337. Factor 32*x**2 - 4*x**3 + 2*x - 2*x - d*x**2.
-4*x**2*(x - 5)
Suppose -301 = 5*z - p - 316, 3*z - 21 = 3*p. Find t such that 24/5 - 2/5*t - 2/5*t**z = 0.
-4, 3
Let u(h) = -2*h**2 + 111*h - 32. Let f(n) = -n**2 + 50*n - 16. Let v(b) = -7*f(b) + 3*u(b). Suppose v(r) = 0. What is r?
1, 16
Let m(n) be the first derivative of 26 + 3/5*n**5 - 99/2*n**2 - 9/4*n**4 - 42*n - 23*n**3. Determine t, 