= 0. What is r?
-2, 2/3
Let a be 29 + 517296/336 - 46. Let a + 2/7*g**2 + 292/7*g = 0. Calculate g.
-73
Let v be (-2)/(18/(-27))*7/42*8. Factor -2*d**3 + 0 + 2/3*d**4 - v*d**2 + 16/3*d.
2*d*(d - 4)*(d - 1)*(d + 2)/3
Factor 709/4*u - 1/2 + 711/4*u**2.
(u + 1)*(711*u - 2)/4
Suppose 11*a - 16*a + 15 = 0. Let y be (-1)/((-1 + 0)/a). Factor 76/5*t + 24/5 + 32/5*t**2 - 4*t**y.
-4*(t - 3)*(t + 1)*(5*t + 2)/5
Let a(u) = u**3 - 5*u**2 - 11*u + 32. Let z be a(6). Let n(g) = -8*g**2 + 12. Let h(f) = -f**2 - f + 2. Let b(o) = z*n(o) - 12*h(o). Factor b(m).
-4*m*(m - 3)
Let o(u) be the first derivative of -2*u**5/5 - 135*u**4/2 - 9508*u**3/3 - 13332*u**2 - 17424*u + 605. Factor o(p).
-2*(p + 1)*(p + 2)*(p + 66)**2
Let m = 211 - 207. Solve 8 + 36*r**2 + 2*r**3 + 36*r + 6*r**4 - r**4 - 10*r**m - 7*r**4 - 6*r**3 = 0.
-1, -1/3, 2
Let a = 972 + -971. Suppose 2*q = -w + 7 + a, 5*w - 16 = -4*q. Suppose w*z + 1/2*z**3 + 0 - 1/4*z**4 - 1/4*z**2 = 0. What is z?
0, 1
Let o = -5/31 + 139/93. Suppose 0 = -3*w + 5*f + 46, -82*w - 2*f - 20 = -84*w. Determine k so that -o + w*k - 2/3*k**2 = 0.
1, 2
Let o(f) be the third derivative of f**8/84 + 2*f**7/21 - 46*f**6/15 - 32*f**5/5 - 1606*f**2. Let o(t) = 0. What is t?
-12, -1, 0, 8
Let g be 20/70 - (3 - (-13572)/(-28)). Suppose -970 = -22*p + g. Let -45/4*x**2 - 121/4 - p*x - 1/2*x**3 = 0. What is x?
-11, -1/2
Let y(n) = 70*n**2 - 150*n - 2978. Let d(b) = 13*b**2 - 30*b - 596. Let p(k) = 11*d(k) - 2*y(k). Factor p(i).
3*(i - 20)*(i + 10)
Let h(v) be the first derivative of -3*v**3 - 12*v**2 - 16*v - 62 - 1/4*v**4. Factor h(t).
-(t + 1)*(t + 4)**2
Let n(w) = 19*w**2 - w + 10. Let m be n(10). Suppose -4*v**5 + 24*v + 52*v**2 - 4*v**4 - 1900 + 28*v**3 + m = 0. Calculate v.
-2, -1, 0, 3
Let s = 2852/729 + -260/729. Factor -s*h - 14/9*h**2 - 2/9*h**3 - 8/3.
-2*(h + 2)**2*(h + 3)/9
Let r = 17 + -21. Let f be -20*(4/15)/(r/6). What is w in w - 5*w**5 - f*w**2 + 9*w**5 + 8*w**4 - 5*w = 0?
-1, 0, 1
Let u(d) be the second derivative of d**8/840 + d**7/140 - d**5/15 + 5*d**3/6 + 4*d - 5. Let v(y) be the second derivative of u(y). Factor v(t).
2*t*(t - 1)*(t + 2)**2
Let g(q) be the third derivative of 4*q**7/105 - 11*q**6/12 - 3*q**5/5 + 55*q**4/12 + 14*q**3/3 + 8*q**2 + 263*q. Find i, given that g(i) = 0.
-1, -1/4, 1, 14
Suppose -3*l + 5*b - 85 = -10, -2*l = -b + 15. Factor l*j + 0 - 5/2*j**4 + 0*j**3 + 5/2*j**2.
-5*j**2*(j - 1)*(j + 1)/2
Let w(x) be the third derivative of -x**8/2688 - 3*x**7/560 + x**6/960 + 101*x**5/480 - x**4/4 - 35*x**3/12 - 877*x**2. What is r in w(r) = 0?
-7, -5, -1, 2
Factor -291*x - 627*x**2 + 133*x**2 + 194*x**2 + 3*x**3 + 194*x**2 + 190*x**2 - 372.
3*(x - 4)*(x + 1)*(x + 31)
Let q(k) be the third derivative of 3*k**7/14 + 1627*k**6/8 - 8153*k**5/12 + 6345*k**4/8 - 1360*k**3/3 + 125*k**2. Let q(y) = 0. Calculate y.
-544, 1/3, 1
Suppose 15*f - 3*f - 888 = 0. Find a, given that -12 + 73*a**2 + f*a**2 - 216*a**2 + 72*a**2 = 0.
-2, 2
Let o(q) = 4*q**2 + 631*q + 1165. Let n(s) = 9*s**2 + 1277*s + 2329. Let g(t) = -3*n(t) + 7*o(t). Factor g(j).
(j + 2)*(j + 584)
Let f = -57 - -37. Let d be 5*2/f*-6. Suppose -5*i**3 + 7 + 0*i**d + 20*i**2 + 15*i - 97 = 0. Calculate i.
-2, 3
Let t(o) be the first derivative of o**5 - 77*o**4/6 + 281*o**3/9 - 31*o**2/3 - 80*o/3 + 1797. What is r in t(r) = 0?
-2/5, 1, 5/3, 8
Factor -394 - 428 + 1201 - 48*o - 496 - 3*o**2.
-3*(o + 3)*(o + 13)
Let w(v) be the first derivative of -1/4*v**4 + 0*v + 203 + 1/2*v**2 + 0*v**3. Factor w(c).
-c*(c - 1)*(c + 1)
Let j(s) be the first derivative of -s**3/15 - 7*s**2/5 - 24*s/5 + 758. Factor j(v).
-(v + 2)*(v + 12)/5
Suppose m = r - 2, 0 = -4*m + 9*r - 12*r + 27. Let a(t) be the third derivative of -1/45*t**5 + 0 + 0*t**4 + 2/9*t**m + 7*t**2 + 0*t. Factor a(z).
-4*(z - 1)*(z + 1)/3
Let l(n) = -83 + 38 + 46. Let x(z) = 2*z**3 - 6*z**2 + 4*z - 8. Let g(m) = 8*l(m) + x(m). Factor g(b).
2*b*(b - 2)*(b - 1)
Let a(o) be the first derivative of 2809*o**5/5 - 3021*o**4/4 - 5546*o**3 + 634*o**2 - 24*o - 7597. Factor a(r).
(r - 3)*(r + 2)*(53*r - 2)**2
Let 1/2*l**3 + 6*l**2 + 32 + 24*l = 0. What is l?
-4
Let m(s) = -s**3 - 3*s**2 - 2*s - 2. Let u(q) = -80*q**3 - 315*q**2 - 355*q + 150. Let a(l) = 75*m(l) - u(l). Determine n so that a(n) = 0.
-15, -4, 1
Let o(t) be the third derivative of 0*t**6 + 0 + 0*t**4 + 2*t - 1/360*t**5 + 0*t**3 + 14*t**2 + 1/1260*t**7. Find z, given that o(z) = 0.
-1, 0, 1
Let d be 205/65 + (56/(-91))/4. Suppose n - 3*u + 9 = 0, 0 = d*n + 8*u - 12*u + 12. Find v such that -2/7*v**5 + n - 4/7*v**2 + 0*v + 4/7*v**4 + 2/7*v**3 = 0.
-1, 0, 1, 2
Let q(o) = -19*o - 169. Let g be q(-9). Let 198*h**g + 256*h**2 + 582*h**3 + 152*h - 2*h**2 + 16 + 69*h**4 - 140*h**3 + 57*h**4 = 0. Calculate h.
-2, -1, -2/7, -2/9
Factor -97*v**2 - 15 + 170*v - 78*v**2 - 75*v**2 + 95*v**2.
-5*(v - 1)*(31*v - 3)
Let y(j) be the third derivative of 1369*j**6/60 + 407*j**5/10 - 12*j**4 + 4*j**3/3 + 2*j**2 + 35*j. Factor y(q).
2*(q + 1)*(37*q - 2)**2
Let a = 401059/2 - 200529. Factor 11/2*y + a*y**3 + 0 + 6*y**2.
y*(y + 1)*(y + 11)/2
Let s(g) be the third derivative of 1/1680*g**7 + 7/960*g**6 + 0*g**3 + 121*g**2 + 0*g**5 + 0*g + 0*g**4 + 0. What is a in s(a) = 0?
-7, 0
Factor -165 + 61/2*j - 1/2*j**2.
-(j - 55)*(j - 6)/2
Let i be 29/9 + (-60)/27 + 2. Factor -5*a - 3*a + i*a**2 + 2*a**3 + a**2 + 2*a**2.
2*a*(a - 1)*(a + 4)
Suppose -6 = 3*d, 25*f + d = 21*f + 214. Find i such that f - 878*i + 3*i**2 + 310*i + 318*i + 307*i = 0.
-18, -1
Suppose 64*g**2 + 224*g**2 - 286*g**2 - 1380 - 218*g = 0. What is g?
-6, 115
Let w(h) = 2*h**3 + 8*h**2 - 13*h - 3. Let q be w(-5). Factor -q + 2*i**2 + 5 + 7 + i**3.
i**2*(i + 2)
Let r(u) be the first derivative of -3/2*u**4 - 31 + 3*u**2 + 0*u - u**3 + 3/5*u**5. Suppose r(a) = 0. Calculate a.
-1, 0, 1, 2
Suppose -56 = -14*p - 28. Let r(c) be the second derivative of -1/48*c**4 + 1/3*c**3 - 7/8*c**p + 16*c + 0. Factor r(n).
-(n - 7)*(n - 1)/4
Let r(b) be the second derivative of -3*b**5/100 + 3*b**4/10 - 9*b**3/10 + 6*b**2/5 - 12*b - 7. Factor r(p).
-3*(p - 4)*(p - 1)**2/5
Let i be (-1 - 18/(-20))*(-83 - -82)*26. Solve -i - 1/5*j**2 + 14/5*j = 0 for j.
1, 13
Let q be (-54)/(-4)*5/((-180)/(-48)). Find u such that -16*u + 34*u**3 - 2 + 4*u**4 - 20*u**2 + 0*u**2 - 14*u**3 - 4*u**5 + q = 0.
-2, -1, 1, 2
Determine s, given that -322*s - 112 - 4627*s**2 + 4519*s**2 + 2*s**3 + 100*s = 0.
-1, 56
Let 644/5*i + 1/5*i**2 + 643/5 = 0. What is i?
-643, -1
Find z, given that -29/4*z - 3/4 - 17/4*z**2 + 9/4*z**3 = 0.
-1, -1/9, 3
Factor -3*f**4 - 8 + 1185 + 9*f**4 + 423*f**3 + 1343 + 3972*f - 3*f**5 + 2154*f**2.
-3*(f - 15)*(f + 2)**3*(f + 7)
Solve 0*y - 318/7*y**3 - 3/7*y**4 + 0 - 45*y**2 = 0 for y.
-105, -1, 0
Solve -11/2*f - 13*f**2 + 9 + 3/2*f**3 = 0 for f.
-1, 2/3, 9
What is d in 823*d + 781*d + 576 - 3*d**2 - 1736*d = 0?
-48, 4
Let f(j) be the second derivative of j**7/77 + 404*j**6/165 - 27*j**5/22 + 24*j - 10. Solve f(h) = 0 for h.
-135, 0, 1/3
Let t = 1337 + -32. Let y = -3899/3 + t. Find l, given that -8/3 - 10/3*l**2 + y*l + 2/3*l**3 = 0.
1, 2
Let g = -618 + 376. Let t = g - -1222/5. Suppose -3/5*z**3 - 3/5*z**2 + t + 12/5*z = 0. Calculate z.
-2, -1, 2
Let w be (-1)/(-60)*(25 + (-16 - 6)). Let r(l) be the third derivative of 0*l - 1/12*l**4 + w*l**5 + 0*l**3 + 0*l**6 + 7*l**2 + 0 - 1/210*l**7. Factor r(b).
-b*(b - 1)**2*(b + 2)
Let l(x) be the second derivative of -x**4/15 + 1180*x**3/3 - 870250*x**2 + 4351*x. Solve l(g) = 0 for g.
1475
Let k(b) be the third derivative of -65/56*b**4 - 133*b**2 + 0 - 9/7*b**3 - b + 1/70*b**6 + 29/140*b**5. Suppose k(t) = 0. What is t?
-9, -1/4, 2
Let l(t) be the third derivative of 5*t**2 + 0 + 27/14*t**3 - 17/420*t**5 - 1/840*t**6 + 13*t - 3/8*t**4. Factor l(x).
-(x - 1)*(x + 9)**2/7
Suppose 4*t + y - 17 = 0, 6*y = t + 9*y - 18. Let v(h) be the third derivative of -1/30*h**6 - 1/5*h**5 - 2/3*h**t + 0 - 17*h**2 - 1/2*h**4 + 0*h. Factor v(j).
-4*(j + 1)**3
Let g(a) be the second derivative of -a**5/100 + a**4/20 + 4*a**3/5 - 11*a**2/2 - 53*a. Let n(w) be the first derivative of g(w). What is i in n(i) = 0?
-2, 4
Let m(h) be the first derivative of -2*h**3/21 - 2*h**2/7 + 880*h/7 + 7511. Find q such that m(q) = 0.
-22, 20
Suppose 67*l + h = 66*l - 10, 3*h = 5*l - 46. Let 44/7*v - 2/7*v**l - 6 = 0. Calcula