d*(d - 3)*(d - 1)**2
Let v = 285 + -283. Suppose 2 = g + 4*o, -4*o = 7*g - v*g - 10. Factor -42/17*m - 144/17*m**g - 4/17 - 160/17*m**3.
-2*(4*m + 1)**2*(5*m + 2)/17
Suppose 0 = 3*y - 2838 + 2832. Let t(m) be the second derivative of -10/3*m**3 + 5/42*m**7 + 20*m**2 - y*m - 25/6*m**4 + 2/3*m**6 + 0 + 1/4*m**5. Factor t(h).
5*(h - 1)**2*(h + 2)**3
Let h(b) be the first derivative of 4*b + 1/10*b**5 - b**4 - 11/2*b**2 + 114 + 7/2*b**3. Factor h(o).
(o - 4)*(o - 2)*(o - 1)**2/2
Let h be (-4)/((-360)/(-21))*(-18)/140. Let s(m) be the second derivative of 0 - 3/20*m**4 - h*m**5 + 0*m**3 + 0*m**2 + 13*m. Suppose s(f) = 0. What is f?
-3, 0
Let m(z) be the first derivative of z**4/2 + 142*z**3 + 212*z**2 + 275. Suppose m(j) = 0. Calculate j.
-212, -1, 0
Suppose -158602*o**2 - 59792*o**3 + 95052 + 124600*o - 8*o**5 + 1214*o**4 + 57921*o**2 - 60575*o**2 + 190*o**4 = 0. Calculate o.
-3, -1/2, 1, 89
Let c = -82604 - -82606. Determine l, given that -16/9*l - 4/9*l**3 + 26/9*l**c - 32/3 = 0.
-3/2, 4
Let d(k) = 253*k - 10877. Let m be d(43). Factor 12/5 - 2/5*q**m - 2/5*q.
-2*(q - 2)*(q + 3)/5
Let d(m) = -14*m**2 - 186*m + 50. Let v(z) = -153*z**2 - 2045*z + 551. Let g(t) = -23*d(t) + 2*v(t). Factor g(a).
4*(a + 12)*(4*a - 1)
Let n = -108551/132 + 9877/12. Factor 0 - 2/11*y**3 - 10/11*y**2 - n*y.
-2*y*(y + 1)*(y + 4)/11
Suppose -450 = -27*l + 18*l. Suppose 7*q + 36 = l. Solve -2/17*f**q + 24/17*f - 72/17 = 0 for f.
6
Let k be 3*(-5)/(-21) + (-18)/(-63). Let w be ((-114)/15 - -8)*k. Determine z so that 0 + 0*z + w*z**2 = 0.
0
Let c(x) be the third derivative of 0*x + 13/15*x**5 + 2/3*x**3 - 3/4*x**6 + 17/12*x**4 - 4 + 2*x**2. Suppose c(g) = 0. What is g?
-2/9, -1/5, 1
Find m, given that 55/2 + 30*m + 5/2*m**2 = 0.
-11, -1
Let a(q) be the second derivative of -q**4/8 - 9*q**3/4 + 135*q**2/2 - 1586*q. Factor a(b).
-3*(b - 6)*(b + 15)/2
Let q be -4 + (-5625)/(-1395) - (-419)/465. Factor q*g + 4/15 + 2/3*g**2.
2*(g + 1)*(5*g + 2)/15
Suppose 70*d - 68*d - 2 = 0. Suppose 2*m = 3*m + 2*z + 2, -4*m + d = -z. Find n, given that m + 4/7*n**5 - 8/7*n + 12/7*n**2 + 4/7*n**3 - 12/7*n**4 = 0.
-1, 0, 1, 2
Let a(n) = n**3 - 8*n**2 + 10*n + 1. Let x be a(5). Let i be 758/6 - -4*2/x. Factor -12*s + s**4 + 13*s**2 + 120*s**3 + 0 + 4 - i*s**3.
(s - 2)**2*(s - 1)**2
Suppose -11*a + 300 + 30 = 0. Let i be (a/(-8))/(-15) + (-22)/(-8). Determine p so that 20*p**2 - 2*p**i - 3*p**3 + 3*p**3 - 3*p**3 = 0.
0, 4
Factor -1/4*y**2 + 295/2*y - 87025/4.
-(y - 295)**2/4
Let z(i) be the second derivative of -i**4/4 + 49*i**3/6 + 19*i**2/2 + 15*i + 2. Let n(d) = -d**2 + 1. Let l(f) = -14*n(f) + 2*z(f). Factor l(x).
2*(x + 12)*(4*x + 1)
Let k(y) = 2*y**4 + 30*y**3 - 36*y**2 - 103*y + 26. Let r(b) = 2*b**4 + 28*b**3 - 34*b**2 - 102*b + 28. Let j(a) = -14*k(a) + 13*r(a). Factor j(f).
-2*f*(f - 2)*(f + 1)*(f + 29)
Let h(z) = -2*z**2 - 205*z + 10723. Let s(f) = -f**2 + f - 31. Let n(l) = -h(l) + 3*s(l). Factor n(v).
-(v - 104)**2
Let c = -412512 - -412512. Factor 1/6*j**2 + c*j + 0 - 1/3*j**3.
-j**2*(2*j - 1)/6
Suppose 4*c - u - 30 = 0, -c + 228*u - 231*u = 12. Factor 1/2*y**2 + 10 - c*y.
(y - 10)*(y - 2)/2
Factor -2326/5*g - 18/5*g**2 - 516/5.
-2*(g + 129)*(9*g + 2)/5
Suppose 27 = 3*s + 3*k, 0*s + 3*k = s - 1. Suppose 7*v - s = 7. What is y in v*y**2 - 476 + 464 - 6*y - 4*y = 0?
-1, 6
Let d(i) be the third derivative of -i**8/1344 + 27*i**7/280 + 11*i**6/32 + 83*i**5/240 - 2*i**2 + 26*i. Factor d(l).
-l**2*(l - 83)*(l + 1)**2/4
Suppose 266*u - 75*u**4 - 420*u**2 - 315*u**3 + 82 - 26*u + 408 + 86 - 6*u**5 = 0. Calculate u.
-4, -3/2, 1
Let b = 7793/17465 + -44/2495. Factor b*u**3 - 3*u**2 + 225/7 - 15/7*u.
3*(u - 5)**2*(u + 3)/7
Let q(h) = h + 2. Let m(g) = 5*g**2 - g + 2. Let o(a) = -9*a**2 + 3*a - 3. Let j(d) = 11*m(d) + 6*o(d). Let u(k) = -3*j(k) - 6*q(k). Factor u(c).
-3*(c + 1)*(c + 8)
Let t(j) be the first derivative of 1/20*j**4 + 0*j + 0*j**3 - 1/10*j**2 + 1. Factor t(f).
f*(f - 1)*(f + 1)/5
Let -2*n**2 + 422/5*n - 84/5 = 0. Calculate n.
1/5, 42
Find c, given that -52/3*c + 28/9*c**3 + 2/9*c**4 - 10 - 40/9*c**2 = 0.
-15, -1, 3
Let b(s) be the third derivative of -11*s**8/336 - 4*s**7/9 - 91*s**6/360 + 26*s**5/15 + 31*s**4/18 - 16*s**3/9 - 671*s**2. Determine d, given that b(d) = 0.
-8, -1, -2/3, 2/11, 1
Let j be -8 + 5 + 27/7. Let f be 224/(-98) + 32/14. Factor f - 3/7*x**2 - j*x.
-3*x*(x + 2)/7
Let f = 39949 - 39947. Let r(l) be the third derivative of -5*l**f + 1/735*l**7 - 1/42*l**4 + 0*l**3 - 1/210*l**5 + 0*l + 1/210*l**6 + 0. Factor r(b).
2*b*(b - 1)*(b + 1)*(b + 2)/7
Let w = -238094 + 47857013/201. Let n = w - -5/67. Factor -n*j**2 - 4/3 - 2*j.
-2*(j + 1)*(j + 2)/3
Let t = 197506 - 197504. Factor -15/8*m - 9/4 - 3/8*m**t.
-3*(m + 2)*(m + 3)/8
Let a be ((-126)/33)/(1344/1848) - -9. Factor -a*r**3 + 9/2*r**2 + 0*r + 0 + 3/4*r**4.
3*r**2*(r - 3)*(r - 2)/4
Let a(k) be the first derivative of -k**3/9 + 161*k**2/3 - 640*k/3 + 6. Factor a(v).
-(v - 320)*(v - 2)/3
Let f be (2*-13)/(9 + -11). Factor -20*h**3 + 14*h**4 + 22*h**2 - f*h**5 - 22*h**2 + 11*h**5.
-2*h**3*(h - 5)*(h - 2)
Let z(i) be the first derivative of i**5 + 325*i**4/4 - 670*i**3/3 + 3730. Find o, given that z(o) = 0.
-67, 0, 2
Let f(l) = 9*l**4 - 17*l**3 - 6*l**2 + 2*l - 6. Let g(u) = 8*u**4 - 16*u**3 - 6*u**2 + 3*u - 5. Let z = 60 + -66. Let m(a) = z*g(a) + 5*f(a). Factor m(v).
-v*(v - 4)*(v + 1)*(3*v - 2)
Let n(w) be the third derivative of -w**8/168 - 23*w**7/105 + 11*w**6/12 + 119*w**5/30 - 25*w**4/2 - 9*w**2 + 13. Solve n(b) = 0.
-25, -2, 0, 1, 3
Let g(l) be the second derivative of l**6/120 + l**5/40 + 13*l - 206. Determine x so that g(x) = 0.
-2, 0
Let m(d) be the first derivative of -d**6/6 + 1441*d**5/5 - 360*d**4 - 6626. Factor m(f).
-f**3*(f - 1440)*(f - 1)
Let u(a) be the first derivative of 18 + 30*a + 1/42*a**4 + 5/21*a**3 + 4/7*a**2. Let d(p) be the first derivative of u(p). Let d(r) = 0. What is r?
-4, -1
Let c be 9 + ((-2646)/238 - -11 - 362/102). Suppose 8/3*p - 8/3*p**3 + 5*p**2 + 1/3*p**4 - c = 0. Calculate p.
-1, 1, 4
Suppose 77 = 6*h + 17. What is b in 3*b**2 - 5 - 3 - h - 3*b + 0 = 0?
-2, 3
Let y(q) = -5*q**3 - 940*q**2 + 110*q + 3820. Let c(j) = -j**3 - 235*j**2 + 28*j + 956. Let m(u) = 15*c(u) - 4*y(u). Factor m(p).
5*(p - 2)*(p + 2)*(p + 47)
Factor 4664*m - 52894 - 36*m**2 - 138152 + 40502 - 8*m.
-4*(3*m - 194)**2
Let g be (-1 - -1)/((-4)/2). Let d(r) = 2*r**2 + 4. Let m be d(g). What is v in -m*v**2 - 7*v**2 + 5*v + 6*v**2 = 0?
0, 1
Let y(m) be the third derivative of m**9/211680 - m**7/17640 - 7*m**5/30 - m**4/12 - 76*m**2. Let w(k) be the third derivative of y(k). Solve w(j) = 0 for j.
-1, 0, 1
Let t be -63 - (25 - 101) - -7*(-1 - 0). Suppose -54 - 1/6*p**2 - t*p = 0. What is p?
-18
Let u(l) = 22*l + 14. Let c be u(2). Determine x, given that -5*x**2 - 245 - 39*x + c*x + 51*x = 0.
7
Let q(l) be the first derivative of l**6/2700 + l**5/450 - 2*l**4/45 - 2*l**3/3 + 2*l - 3. Let s(p) be the third derivative of q(p). Factor s(u).
2*(u - 2)*(u + 4)/15
Let i(v) be the third derivative of 2*v**2 + 1/210*v**7 - 1/3*v**4 + 0*v + 1/15*v**6 + 54 - 7/6*v**3 + 1/10*v**5. Suppose i(z) = 0. What is z?
-7, -1, 1
Determine a so that -4958545*a - 4*a**3 + 13460*a**2 - 1799756*a - 4558191*a - 11329956 = 0.
-1, 1683
Let k(m) be the first derivative of -25*m**4/8 + 215*m**3/9 - 185*m**2/4 - 30*m - 1876. Factor k(q).
-5*(q - 3)**2*(15*q + 4)/6
Suppose -4*a - p - 16 = -22, 2 = 9*p - 10*p. Let -10/11*i - 12/11 - 2/11*i**a = 0. Calculate i.
-3, -2
Suppose 1/3*l**4 + 3*l**3 + 13/3*l**2 - 14/3 - 3*l = 0. What is l?
-7, -2, -1, 1
Let w(g) be the first derivative of -g**6/720 + 59*g**5/360 - 35*g**4/6 - 25*g**3 + 73*g**2/2 - 13. Let z(c) be the second derivative of w(c). Factor z(u).
-(u - 30)**2*(u + 1)/6
Let a = 795 + -767. Find d such that -25*d**2 - a*d**3 + 32*d**4 + 135*d**2 - 90*d**3 + 28 + 62*d**2 - 113*d - d**5 = 0.
1, 28
Let l be (1 - -47)/((-840)/6320). Let b = l - -362. Suppose 0*w + 6/7*w**4 + 0 + b*w**3 + 2/7*w**2 + 2/7*w**5 = 0. Calculate w.
-1, 0
Let l = 567 + -565. Factor -26*s - 38*s - 18*s**l - 81 - 1944*s**4 - 44*s + 1947*s**4 + 12*s**3.
3*(s - 3)*(s + 1)*(s + 3)**2
Let f(i) = 5*i**5 + 8*i**4 + 34*i**3 + 40*i**2 + 13*i + 8. Let z(s) = 4*s**5 + 8*s**4 + 31*s**3 + 37*s**2 + 14*s + 7. Let p(w) = 3*f(w) - 4*