a**2 + 1091 + 1069 - 3*a**3.
-5*(a - 27)*(a - 4)**2
Let v(q) be the second derivative of q**7/84 + 17*q**6/180 + 7*q**5/40 + q**4/24 - q**3/9 + 767*q - 1. Suppose v(o) = 0. Calculate o.
-4, -1, 0, 1/3
Factor -2/7*a**2 - 184/7 + 96/7*a.
-2*(a - 46)*(a - 2)/7
Let a(x) = 30*x**2 + 27405*x - 111350. Let q(r) = -r**2 - 884*r + 3592. Let m(n) = 4*a(n) + 125*q(n). Factor m(v).
-5*(v - 4)*(v + 180)
Let y be 1/(-6) - (-3322)/132. Suppose y*s + 16 = 4*g + 22*s, 0 = g - 5*s - 4. Factor 0 - 2/9*f**g + 0*f + 10/9*f**3 + 0*f**2.
-2*f**3*(f - 5)/9
Let p(h) be the third derivative of -h**8/112 - 4*h**7/35 - 11*h**6/20 - 7*h**5/5 - 17*h**4/8 - 2*h**3 + 1763*h**2. Factor p(k).
-3*(k + 1)**4*(k + 4)
Let r(z) = 55*z**3 - z**2 + 2*z - 1. Let m be r(1). Find y, given that -4*y**3 + m*y - 13*y**2 + 28*y**2 - 5*y**4 + 30 - 11*y**3 = 0.
-3, -1, 2
Let w = 639/9725 + -10/389. Let t(j) be the second derivative of 0 + 2/15*j**4 + 8/15*j**3 - w*j**5 + 2*j - 1/75*j**6 + 0*j**2. What is u in t(u) = 0?
-2, 0, 2
Let d(s) be the third derivative of s**2 - 1/21*s**4 + 1/15*s**7 + 65*s - 1/20*s**6 - 4/35*s**5 + 0*s**3 + 0. Suppose d(a) = 0. What is a?
-2/7, 0, 1
Let w(l) = -13*l**3 - 760*l**2 - 36*l + 732. Let r(p) = -6*p**3 - 378*p**2 - 15*p + 366. Let z(s) = -7*r(s) + 3*w(s). Factor z(o).
3*(o - 1)*(o + 1)*(o + 122)
Let v(w) = w**3 - 13*w**2 - 13*w - 8. Let o(a) = -3*a**3 + 27*a**2 + 25*a + 16. Suppose 12*h + 10 + 26 = 0. Let t(q) = h*o(q) - 7*v(q). Factor t(l).
2*(l + 1)*(l + 2)**2
Let j(k) be the first derivative of -k**5/75 + 13*k**4/24 - 8*k**3/15 - 29*k**2 - 85. Let r(w) be the second derivative of j(w). Factor r(h).
-(h - 16)*(4*h - 1)/5
Let x = 296192/5 + -59238. Find m such that -24/5 - x*m**2 + 14/5*m = 0.
3, 4
Suppose -263*p**3 - 2267*p**2 + 59*p**3 - 2137*p**2 - 2207*p**2 + 6812*p**2 + 3*p**4 = 0. Calculate p.
0, 1, 67
Let u(j) = -j**2 + 5*j - 10. Let t(n) = -16*n + n**2 - 12*n - 20*n + 40*n + 10. Let z(y) = 4*t(y) + 5*u(y). Factor z(d).
-(d + 2)*(d + 5)
Let d(y) be the third derivative of 0*y - 4*y**3 + 50*y**2 + 1/30*y**5 + 0 - 11/12*y**4. Factor d(v).
2*(v - 12)*(v + 1)
Let z(x) = 4*x**3 + 41*x**2 - 64*x - 2. Let c(y) = -y**3 - 14*y**2 + 21*y - 2. Let r(b) = 11*c(b) + 4*z(b). What is k in r(k) = 0?
-3, -1, 2
Let z(w) be the first derivative of -2/3*w + 1/18*w**3 - 66 - 1/4*w**2. Factor z(i).
(i - 4)*(i + 1)/6
Let q = -12372 - -235156/19. Let -36/19*h**2 - q*h + 22/19*h**4 + 54/19*h**3 + 48/19 = 0. What is h?
-2, 6/11, 1
Let u(c) = 7*c**2 + 58*c + 51. Suppose 0 = -3*s + 15*s + 48. Let w(p) = 27*p**2 + 231*p + 204. Let t(h) = s*w(h) + 15*u(h). Solve t(b) = 0 for b.
-17, -1
Let g(k) be the second derivative of -1/45*k**6 + 1/18*k**4 + 11/90*k**5 - 1/189*k**7 + 17 - 4*k - 10/27*k**3 + 0*k**2. Suppose g(v) = 0. Calculate v.
-5, -1, 0, 1, 2
Suppose -1463*h - 10 = -1465*h. Suppose 12*u**3 - 18*u**4 - 17*u**4 - 509*u**2 + h*u**5 + 306*u**2 - 62*u**3 + 283*u**2 = 0. What is u?
-2, 0, 1, 8
Let y be 4200/480 + (-3 + 7)*-2. Let -15/2 - 21/4*v - y*v**2 = 0. What is v?
-5, -2
Suppose 2621*j - 3683 - 1861 = 260 - 562. Factor -1/4*f**j - 36 - 14*f + 1/4*f**3.
(f - 9)*(f + 4)**2/4
Find a, given that 0 - 3/5*a**4 - 12/5*a**3 + 432/5*a + 108/5*a**2 = 0.
-6, -4, 0, 6
Let h(j) be the second derivative of -j**6/6 - j**5/4 + 5*j**4/6 - 246*j + 3. Factor h(i).
-5*i**2*(i - 1)*(i + 2)
Let c(w) be the first derivative of 4*w**5/25 - 7*w**4/5 - 28*w**3/5 + 54*w**2/5 - 692. Solve c(t) = 0 for t.
-3, 0, 1, 9
Suppose 3*h - 4*b = 94, -2*h - b + 53 + 17 = 0. Solve 25 + h*d + 1 + d**3 + 8*d + 28*d**2 + 11*d = 0 for d.
-26, -1
Let w(m) = -29*m + 60. Let g be (27/(-36))/(6/(-16)). Let h be w(g). Determine f so that 8/15*f + 2/15*f**h + 8/15 = 0.
-2
Let m(d) be the third derivative of -11*d**8/1176 + 13*d**7/735 - d**6/210 - 20*d**2 - 12. What is q in m(q) = 0?
0, 2/11, 1
Let d(q) be the second derivative of 3*q**5/4 - 387*q**4/4 - 523*q**3 + 720*q**2 + 217*q. Find k, given that d(k) = 0.
-3, 2/5, 80
Let p = -903 + 897. Let s be 234/2184*(-32)/p. Factor 0 + s*m**4 + 0*m + 4/7*m**2 - 10/7*m**3.
2*m**2*(m - 2)*(2*m - 1)/7
Suppose -2*d + 4*d = 4*x - 34, -8 = x + 5*d. Suppose -4*a + 3*a - x*a**2 + 37*a**3 - 53*a**3 - a**2 = 0. What is a?
-1/4, 0
Let x(b) be the third derivative of b**6/1020 + 979*b**5/85 + 958441*b**4/17 + 7506509912*b**3/51 - 6260*b**2. Factor x(j).
2*(j + 1958)**3/17
Suppose 2*b**2 - 834003*b + 44 + 834343*b + 0*b**2 + 130 + 164 = 0. Calculate b.
-169, -1
Let c(p) be the second derivative of p**4/4 - 794*p**3 + 945654*p**2 - 158*p - 6. Factor c(n).
3*(n - 794)**2
Factor 15139*f**2 - 8 + 6*f - 7564*f**2 - 1 - 7572*f**2.
3*(f - 1)*(f + 3)
Let k(h) be the third derivative of h**7/70 + 9*h**6/10 - 117*h**5/20 + h**4/2 + 78*h**3 - h**2 - 2744. Factor k(a).
3*(a - 2)**2*(a + 1)*(a + 39)
Suppose -22*p = -301 - 425. Suppose -34*g = -p*g. Determine r so that g*r**2 - 1/5*r**3 + 0*r + 0 + 1/5*r**4 = 0.
0, 1
Solve 581*q**2 - 10206 + 49675*q + 2*q**4 - 59179*q + 96*q**3 + 215*q**2 = 0.
-27, -1, 7
Let u(w) be the first derivative of -121*w**4/14 + 17138*w**3/21 + 223*w**2 + 142*w/7 + 3662. Factor u(m).
-2*(m - 71)*(11*m + 1)**2/7
Factor 22*l + 10*l + 14 - 24*l**2 - 2*l**3 + l**3 - 53*l + 32.
-(l - 1)*(l + 2)*(l + 23)
Suppose 0 = 4*m - 2*r - 98, -3*m + 112 = 2*m + r. Factor 2*g - g**4 - 6*g**3 - 2*g**5 - g**2 + m*g**5 - 19*g**5.
g*(g - 2)*(g + 1)**2*(2*g - 1)
Let a be ((-1)/12)/(120/(-2896)) + (-11 - -9). Let q(u) be the third derivative of -u**3 + 2/9*u**4 + a*u**5 + 0*u + 0 + 43*u**2. Factor q(n).
2*(n - 1)*(n + 9)/3
Let i(o) = -9*o**3 + 36*o**2 + 196*o + 151. Let x(z) = 8*z**3 - 36*z**2 - 196*z - 152. Let k = 629 - 634. Let c(m) = k*x(m) - 4*i(m). Factor c(y).
-4*(y - 13)*(y + 1)*(y + 3)
Let n(y) = 56*y**3 + 240*y**2 + 464*y + 328. Let c(j) = j**4 - j**3 - 2. Let k(d) = -4*c(d) - n(d). Factor k(s).
-4*(s + 2)**2*(s + 4)*(s + 5)
Determine c so that -981 - 3/4*c**2 - 3927/4*c = 0.
-1308, -1
Let r(s) be the second derivative of 3*s**6/40 - 21*s**5/80 - 19*s**4/16 + 47*s**3/8 - 9*s**2 + 2*s - 742. Find j such that r(j) = 0.
-8/3, 1, 3
Suppose v - 24 - 26 = 0. Suppose 3*m - 204 = -9*m. Factor -2*d**2 - m*d - 5*d - v + 2*d.
-2*(d + 5)**2
Suppose -244*x + 243*x = -5*p + 45, x = -3*p + 27. Let o(l) be the third derivative of x*l - 45*l**2 + 0 - 1/36*l**4 - 1/180*l**5 + 0*l**3. Factor o(y).
-y*(y + 2)/3
Let a be 4/((14 - -15) + (-5 - (-18 + 8))). Find w such that 2/17*w**2 - 2/17 - a*w + 2/17*w**3 = 0.
-1, 1
Let a(x) be the second derivative of x**7/120 - 103*x**6/720 - x**5/12 - 39*x**4/4 - x - 4. Let r(n) be the third derivative of a(n). Factor r(g).
(g - 5)*(21*g + 2)
Suppose 5*r + 5*l - 80 = 0, 0 = 2*r - 61*l + 59*l - 28. What is z in 1 + r*z**2 - 3*z**2 + 5 + 0 - 3 + 37*z = 0?
-3, -1/12
Suppose -4*v = v. Let d = 1/17235 + 51701/68940. Factor -d*r**2 + v - 3/4*r**3 + 3/4*r + 3/4*r**4.
3*r*(r - 1)**2*(r + 1)/4
Let c(a) be the first derivative of -16*a**2 - 4/5*a**5 + 86 + 0*a - 6*a**4 - 16*a**3. Determine y so that c(y) = 0.
-2, 0
Let k be (-1188210)/143430 - (0 + -8). Let g = 1/683 - k. Factor -6/7 + 10/7*u - 2/7*u**2 - g*u**3.
-2*(u - 1)**2*(u + 3)/7
Let x(a) be the first derivative of 18*a - 1 + 2*a**3 + 39/4*a**2 + 3/32*a**4. Suppose x(r) = 0. What is r?
-12, -2
Let x(q) = 65*q**3 - 225*q**2 - 2080*q + 9185. Let j(l) = 8*l**3 - 28*l**2 - 260*l + 1147. Let c(k) = 25*j(k) - 3*x(k). Suppose c(t) = 0. Calculate t.
-7, 4, 8
Let f(m) = -m**2 - 36*m - 66. Let r be f(-34). Let 28*a**3 - 133*a**2 + 8*a**4 + 80*a**2 + 65*a**r = 0. Calculate a.
-3, -1/2, 0
Solve -8010877 - 5*s**2 + 8967769 - 13130*s - 8202163 - 8846909 - 4810*s = 0.
-1794
Let j(l) be the third derivative of -1125*l**8/56 - 720*l**7/7 - 57*l**6 + 3992*l**5/15 - 656*l**4/3 + 256*l**3/3 - 6*l**2 - 19*l. What is m in j(m) = 0?
-2, 4/15
Let t(y) be the third derivative of y**5/660 - 1547*y**4/132 + 2393209*y**3/66 + 8076*y**2. Determine j so that t(j) = 0.
1547
Suppose 4*w + 2*o = -o + 345, 3*w - 285 = 3*o. Suppose 32*a = w*a - 116. Determine m so that -8/3*m + 0 + 2/3*m**5 - 8/3*m**2 + a*m**3 + 8/3*m**4 = 0.
-2, -1, 0, 1
Let o(i) be the first derivative of -i**5/150 + i**4/45 + i**3/15 + 42*i + 18. Let v(p) be the first derivative of o(p). Let v(j) = 0. Calculate j.
-1, 0, 3
Suppose -18*f + 30 = -3*f. Factor 3*u**3 + f*u**3 - 160*u**2 + 230