1*h - 743358. Let x(n) = -7*n**2 - 1060*n - 92920. Let v(k) = -4*r(k) + 33*x(k). What is b in v(b) = 0?
-176
Let u = -10855 + 152035/14. Let c = u + -33/14. Find l such that -25/7*l - 8*l**2 - c*l**3 - 3/7 = 0.
-3, -1/4
Let b(c) be the second derivative of 45/2*c**2 + 23/3*c**3 + 1/12*c**4 + 27*c + 0. Factor b(l).
(l + 1)*(l + 45)
Let k(b) be the third derivative of -b**7/630 + 2*b**6/45 + 3*b**5/10 + 7*b**4/9 + 19*b**3/18 - 3*b**2 - 256. Determine u, given that k(u) = 0.
-1, 19
Let o be 24/(-10)*5/(-1). Determine i, given that -o*i**3 - i**3 - 2*i**3 - 27*i**4 + 21*i**5 - 6*i + 27*i**2 = 0.
-1, 0, 2/7, 1
Suppose 89*d - 93*d = 5*l - 49, 0 = 2*l + 5*d - 40. Let 4/5*o**l + 73/5*o**3 - 71/5*o**2 - 1 - 32/5*o**4 + 31/5*o = 0. What is o?
1/2, 1, 5
Suppose -75*f = -42*f - 66. Find y such that -611*y - 5*y**4 + 15*y**f - 32*y**3 + 27*y**3 + 616*y - 10 = 0.
-2, -1, 1
Let k = 172909/5 + -34577. Determine w, given that -218*w**3 - 60*w**4 - 16/5*w + k - 578/5*w**2 = 0.
-3, -2/5, 1/6
Let b(p) = 5*p - 1. Let f be b(1). Let i be f/(-1 + -3 + 5). Solve -20*t**4 + 15*t**3 - 3*t - 4*t**2 + 4*t**i + t**2 + 7*t**4 = 0 for t.
-1/3, 0, 1
Suppose 3*s - 6*r + r = 11, 4*s - r = 9. Let l = 2098/1575 - -2/1575. Let l - 1/3*k**s + 0*k = 0. What is k?
-2, 2
Suppose 10 = -2*f + 4*c + c, f + 6 = 2*c. Let i be f/(-6)*207/115. Find v such that -12/5*v + 0 - 3/5*v**i - 3*v**2 = 0.
-4, -1, 0
Let u(x) = -x**2 + 5*x. Let a(d) = -35*d**3 - d**2 - d - 1. Let l be a(-1). Let k(z) = 34 - l - 5*z. Let y(c) = -4*k(c) - 5*u(c). Factor y(n).
5*n*(n - 1)
Determine m, given that 122/13*m**2 + 360/13 - 782/13*m + 4/13*m**3 = 0.
-36, 1/2, 5
Let r(g) = -g**2 - 9*g + 193. Let z be r(10). Let m(q) = -q**2 - 3*q + 37. Let u(s) = 4*s**2 + 12*s - 112. Let p(c) = z*u(c) + 8*m(c). Factor p(f).
4*(f - 2)*(f + 5)
Let r(a) be the second derivative of -26 - 1/14*a**3 + 3/7*a**2 - 1/14*a**4 + 3/140*a**5 - a. Factor r(b).
3*(b - 2)*(b - 1)*(b + 1)/7
Suppose -26*d = 2*u - 346, -47 = -7*u + 5*u - 3*d. Factor 4/11*j**2 + 0 + 1/11*j**5 + 4/11*j - 3/11*j**3 - 2/11*j**u.
j*(j - 2)**2*(j + 1)**2/11
Let z = 153359 + -153357. What is l in 12/7*l**4 - 6/7*l**z - 12/7*l**3 - 3/7*l**5 - 6/7 + 15/7*l = 0?
-1, 1, 2
Let o = -76 + 116. Determine s, given that -5 - 2*s**2 + 22*s**2 - 3 + 62*s - 10*s + o = 0.
-8/5, -1
Let g(m) be the first derivative of 4/5*m**5 - 12*m**3 - 18*m**2 + m**4 + 0*m + 85. Factor g(f).
4*f*(f - 3)*(f + 1)*(f + 3)
Let o(a) be the second derivative of 2*a + 35/6*a**3 + 0*a**2 + 34 - 1/4*a**5 + 5/2*a**4. Factor o(p).
-5*p*(p - 7)*(p + 1)
Let n(d) = 3*d**4 - 6*d**3 - 7*d**2 + 6*d + 4. Let t = -193 - -189. Let z(g) = g**2 - 1. Let v(l) = t*z(l) - n(l). Factor v(h).
-3*h*(h - 2)*(h - 1)*(h + 1)
Let s(o) be the third derivative of 1/30*o**4 - 30*o**2 + 13/2700*o**6 + 19/900*o**5 + 0*o - o**3 + 0. Let a(c) be the first derivative of s(c). Factor a(z).
2*(z + 1)*(13*z + 6)/15
Let r = 2006 - 2006. Let k(x) be the third derivative of 11/20*x**5 - 9*x**2 + 1/70*x**7 + 3/20*x**6 + 0 + 3/4*x**4 + 0*x**3 + r*x. Let k(l) = 0. What is l?
-3, -2, -1, 0
Let v(k) be the third derivative of -k**6/72 - 19*k**5/4 - 5415*k**4/8 - 65*k**3/2 + 203*k**2. Let l(s) be the first derivative of v(s). Factor l(n).
-5*(n + 57)**2
Let p = -6837077/6 + 1139513. Find g such that p*g**4 + 7*g**2 + 26/3*g + 7/2 + 2*g**3 = 0.
-7, -3, -1
Suppose 30 = 5*v - 5*i, -5*v - 3*i = -2*i - 42. Solve -v + 25*f + 696*f**2 - 28 - f - 699*f**2 = 0 for f.
2, 6
Suppose -62 = 3*b - 74. Let j(r) = 9*r - 22. Let k be j(3). Factor 2/7 - 6/7*w + 4/7*w**2 + 2/7*w**k + 4/7*w**3 - 6/7*w**b.
2*(w - 1)**4*(w + 1)/7
Suppose -29*k - 7 = -44 - 21. Let 5/2*r**k - 5/6*r**4 + 50/3*r + 10 - 5*r**3 = 0. What is r?
-6, -1, 2
Let v = -65959 - -65963. Factor -2*j**2 - 1/3*j**3 + 1/6*j**v + 16/3 + 4/3*j.
(j - 4)*(j - 2)*(j + 2)**2/6
Let j(r) = 4*r**2 + 75*r - 25. Let q be j(-22). Factor q*m**4 - 1927*m**3 + 3*m**5 + 5547*m**2 + 7732*m**3 + 0*m**5.
3*m**2*(m + 1)*(m + 43)**2
Suppose -5*d = 30, 0 = -48*r + 49*r - 2*d - 12. Let b(v) be the first derivative of -2 + r*v**2 + 0*v + 0*v**5 + 0*v**3 + 1/3*v**6 - 1/2*v**4. Factor b(w).
2*w**3*(w - 1)*(w + 1)
Factor 1414/5*m + 476/5*m**2 + 188 + 2/5*m**3.
2*(m + 1)*(m + 2)*(m + 235)/5
Let a(f) be the third derivative of 1/840*f**8 - 1/150*f**6 + 0 + 0*f**3 + 0*f**5 - 1/525*f**7 - 2*f + 0*f**4 + 75*f**2. Suppose a(s) = 0. What is s?
-1, 0, 2
Let r(z) be the third derivative of 0*z - 11/420*z**6 - 3 - 1/12*z**4 - 2/21*z**3 + 2/21*z**5 + 11*z**2. Solve r(h) = 0 for h.
-2/11, 1
Let t(b) = 5*b**2 + 19*b - 64. Let m(z) = -z + 1. Let l(q) = q**3 - 18*q**2 - 40*q + 6. Let i be l(20). Let u(c) = i*m(c) - t(c). Solve u(f) = 0 for f.
-7, 2
Factor 7*b**2 + 5*b**3 - b**3 - b**2 + 11453*b**4 - 11454*b**4 - 48*b + 12*b + 27.
-(b - 3)**2*(b - 1)*(b + 3)
Let q = -95518/189 - -13648/27. Factor -q*a**4 + 0*a + 0 - 4/21*a**2 + 2/7*a**3.
-2*a**2*(a - 2)*(a - 1)/21
Factor 373/3*i**3 + 17392/3*i + 23104/3 + 1/3*i**4 + 1460*i**2.
(i + 4)**3*(i + 361)/3
Let d(l) = 103*l + 2270. Let h be d(-22). Let o(f) be the first derivative of 4/15*f**5 + 4/3*f - 2/3*f**2 - 2/9*f**6 + 2/3*f**h - 18 - 8/9*f**3. Factor o(i).
-4*(i - 1)**3*(i + 1)**2/3
Factor -81*q + 0 + 647/2*q**2 + 2*q**3.
q*(q + 162)*(4*q - 1)/2
Solve 4/7*o**2 - 3/7 - 1/7*o = 0.
-3/4, 1
Let v(c) = -4*c**3 + 22*c**2 + 181*c - 443. Let a(s) = 6*s**3 - 34*s**2 - 268*s + 664. Let g(x) = 5*a(x) + 8*v(x). Factor g(i).
-2*(i - 8)*(i - 2)*(i + 7)
Let b be 9831/319 - (-2)/11. Factor 2*u**2 - 5*u**2 - u**2 + 0*u**2 - b - 16*u + 79.
-4*(u - 2)*(u + 6)
Let y = -100527 - -703707/7. Factor 2*x**2 - 4/7*x - 2/7*x**5 - y*x**3 + 10/7*x**4 + 0.
-2*x*(x - 2)*(x - 1)**3/7
Let d(p) be the first derivative of -21*p**5/5 + 11715*p**4/2 - 2177316*p**3 - 934092*p**2 + 3856. Find q such that d(q) = 0.
-2/7, 0, 558
Let i(w) = -2*w**2 - w + 1. Suppose -23*d + 56 = -20*d + 5*n, 2*d - n - 20 = 0. Let f(z) = 9*z**2 + 4*z - 13. Let a(o) = d*i(o) + 3*f(o). Factor a(v).
3*(v - 3)*(v + 3)
Let l be -37 + (-13 - 25690/(-455)). Determine z so that -22/13*z + l - 2/13*z**2 = 0.
-14, 3
What is f in -122/3 + 1/3*f**3 - 81*f - 40*f**2 = 0?
-1, 122
Let h be (184/(-10))/((-2)/(-10)). Let o = h - -95. Solve 12*j**3 - 10*j**4 - 51*j**2 + 2 + 21*j + 4 - 33*j**o + 55*j**4 = 0.
-1, -1/5, 2/3, 1
Let q be 2/(-10) + (-2304)/(-120). Factor -15*p**3 - 8*p + p**2 - 2*p**2 + q*p**3 + 5*p**2.
4*p*(p - 1)*(p + 2)
Let z(s) be the third derivative of -s**6/30 - 14*s**5/5 - 48*s**4 + 2304*s**3 + 32*s**2 + 7*s. Suppose z(v) = 0. Calculate v.
-24, 6
Let n be -1*2 + (44 - 37). Let u be (-24 - -25)*(-1 + n). Factor -2/9 - 14/9*t**3 - 4/9*t**u - 10/9*t - 2*t**2.
-2*(t + 1)**3*(2*t + 1)/9
Let x(w) be the first derivative of 22808258*w**3/27 - 13508*w**2/9 + 8*w/9 + 10959. Factor x(m).
2*(3377*m - 2)**2/9
Let l(a) = -a**3 - 43*a**2 + 310*a + 910. Let t(h) = 2*h**3 + 86*h**2 - 620*h - 1778. Let d(w) = -5*l(w) - 3*t(w). Determine r so that d(r) = 0.
-49, -2, 8
Let k(f) = 10*f + 74. Let t be k(-7). Suppose -t*a = -27*a. What is v in a + 2/7*v**2 - 4/7*v = 0?
0, 2
Suppose f - 4*f + 9 = 0. Factor -15*k**f - 6*k**4 + 353*k**2 - 355*k**2 + 7*k**3.
-2*k**2*(k + 1)*(3*k + 1)
Let v = -154335 + 611293/4. Let d = 1512 + v. Let -1/4*n + d*n**2 + 0 = 0. What is n?
0, 1
Let q = -89420/3 - -29812. Let k(x) be the first derivative of -1/3*x**4 + q*x + 20/9*x**3 - 16/3*x**2 + 46. Factor k(l).
-4*(l - 2)**2*(l - 1)/3
Let x be ((-560)/392)/(850/(-420)). Suppose 16/17 + x*j**2 - 30/17*j + 2/17*j**3 = 0. What is j?
-8, 1
Find n such that 89/2*n**2 + 23*n - 45/2 - n**3 = 0.
-1, 1/2, 45
Suppose 12*c + 76 = -8. Let d(b) = 8*b**2 + 54*b + 288. Let p(a) = -9*a**2 - 55*a - 288. Let m(q) = c*d(q) - 6*p(q). Factor m(o).
-2*(o + 12)**2
Let t(f) = -3*f**5 + 4*f**4 + 47*f**3 + 58*f**2 + 26*f. Let d(j) = j**5 + 2*j**4 - 2*j**3 - j. Let h(g) = 10*d(g) + 5*t(g). Suppose h(x) = 0. What is x?
-2, -1, 0, 12
Suppose -3*k = 4*c - 26 + 9, -17 = -c - 5*k. Suppose 0 = c*b + 5*x - 11, 2*b - 1 - 6 = -x. Factor -24/7*m + 22/7*m**b - 12/7*m**4 + 2/7*m**5 - 4/7*m**2 + 16/7.
2*(m - 2)**3*(m - 1)*(m + 1)/7
What is m in 126*m**2 + 3*m**4 - 531*m**3 - 467*m**3 + 929*m**3 = 0?
0, 2, 21
Suppose 16*g - 1760 = 1376. Suppose -g = -125*i + 76*i. Suppose -2/21*v**i + 8/21*v**2 + 0 - 8/21*v + 2/21*v**3 = 0. What is v?
-2, 