2/5*g**3 + 0*g.
-2*g**2*(g - 1)*(2*g + 1)/5
Let x(a) = -a + 1. Let s(r) = r**3 - 7*r**2 - 3*r - 6. Let p(t) = s(t) + 2*x(t). Let m be p(8). Factor -796 - m*q**4 + 8*q - 24*q**3 + 36*q**2 + 796.
-4*q*(q - 1)*(q + 2)*(5*q + 1)
Suppose -v = 2*z - 6, 2*z + 0*v - 30 = 5*v. Factor 12*r + 0*r**2 + 1 - 4*r**2 - 2*r**z - 1 - 9*r**3 + 3*r**5.
r*(r - 3)*(r - 1)*(r + 2)**2
Let d = 3073 - 3070. Let o(w) be the second derivative of -4/51*w**d + 1/170*w**5 + 0 + 1/102*w**4 - 3*w - 4/17*w**2. Solve o(f) = 0 for f.
-2, -1, 2
Let 0 - 2/5*l**5 + 0*l + 0*l**2 + 4/5*l**3 + 2/5*l**4 = 0. Calculate l.
-1, 0, 2
Suppose 3 = -3*q + 6*b, 2655*q - 2*b - 2 = 2653*q. Determine i, given that -i**2 - 1/6*i**q + 0 + 9/2*i = 0.
-9, 0, 3
Let m(i) be the third derivative of -i**6/60 - 53*i**5/15 - 103*i**4/3 - 136*i**3 + 331*i**2 + 4. Solve m(z) = 0 for z.
-102, -2
Suppose -5/4*n**3 + 1/12*n**4 + 5/4*n - 185/12*n**2 + 46/3 = 0. What is n?
-8, -1, 1, 23
What is m in -3637933 - 106*m**5 - 89930*m**2 + 99*m**5 + 4370*m**3 - 105*m**4 + 8*m**5 + 912525*m = 0?
13, 23
Suppose -3*g + 0 = 3*b + 3, -2*b + 13 = -g. Factor -333*m - 354*m + 9 - 3*m**b + 10*m**2 + 708*m + m**5 - 6*m**3.
(m - 3)**2*(m + 1)**3
Let x be 2304/108 + 200/(-175)*(0 + (-14)/4). Find f such that x + 4/3*f**2 - 80/3*f = 0.
1, 19
Let a be (-3)/(36/7)*84/(-126). Let l = a + -41/198. Factor -2/11*f**2 - 32/11 + 12/11*f**3 - l*f**4 - 48/11*f.
-2*(f - 4)**2*(f + 1)**2/11
Let m = -17 - -47. Let n = -25 + m. Factor 3*h - n*h**3 + 2*h + 5*h**2 - 968 + 963.
-5*(h - 1)**2*(h + 1)
Let j(f) be the second derivative of f**5/40 + 7*f**4/6 - 199*f**3/12 + 85*f**2/2 + 152*f - 5. Let j(u) = 0. Calculate u.
-34, 1, 5
Suppose 10*p + 3864 = 33*p. Factor 238*h**3 - p*h**3 + 1 - 1 + 75*h**2 - 5*h**4.
-5*h**2*(h - 15)*(h + 1)
Let w = -1401/2 + 717. Let x be ((-52)/(-39) + 76/(-84))*(-21)/(-2). Solve -9 - 9/2*b**3 + 3/2*b**4 - x*b**2 + w*b = 0.
-2, 1, 3
Factor -554/9*u + 2/9*u**2 - 556/9.
2*(u - 278)*(u + 1)/9
Let d be -1*(1 - (-4 - -13) - -4). Let l(n) be the third derivative of -1/45*n**5 + 0 - 4*n**2 - 2/27*n**3 + 0*n + 1/270*n**6 + 1/18*n**d. Factor l(m).
4*(m - 1)**3/9
Factor 294/5 + 138/5*q**2 - 87*q + 3/5*q**3.
3*(q - 2)*(q - 1)*(q + 49)/5
Suppose 0 = 4*g - 5*w - 31, -4*g + 7*w = 11*w - 76. Determine p so that g*p + 7 - 6*p**2 - 1 + 7*p - 5*p = 0.
-1/3, 3
Let w(k) be the third derivative of -k**7/315 + 79*k**6/90 - 6397*k**5/90 + 1027*k**4/3 - 676*k**3 - 1369*k**2. Find u such that w(u) = 0.
1, 78
Let y(f) be the third derivative of -f**7/6720 - f**6/576 - f**5/120 - f**4/48 - 4*f**3 + 64*f**2. Let b(p) be the first derivative of y(p). Factor b(u).
-(u + 1)*(u + 2)**2/8
Let i(r) be the second derivative of 16*r**7/399 + 69*r**6/95 - 13*r**5/190 + 2*r - 89. Determine t, given that i(t) = 0.
-13, 0, 1/16
Let p(g) be the first derivative of 335 + 32*g - 4*g**2 - 4/3*g**3. Determine i so that p(i) = 0.
-4, 2
Factor -2120 - 9*f**2 + 373*f + 9*f**2 + 160*f - 11*f + 2*f**2.
2*(f - 4)*(f + 265)
Determine a so that 160*a**2 - 7*a**4 + 91*a**3 + 2*a**4 - 491*a + 61*a - 41*a**3 - 50*a = 0.
-4, 0, 2, 12
Let t(h) be the first derivative of 17/13*h**4 + 136/39*h**3 + 6/65*h**5 + 18/13*h - 56 + 46/13*h**2. Let t(v) = 0. What is v?
-9, -1, -1/3
Determine k, given that 1005*k**2 - 120*k**2 + 6*k + 1273*k**2 - 16*k**3 - 3036*k**4 + 878*k**2 + 10*k = 0.
-1, -4/759, 0, 1
Let -160 + 82*m**3 - 35*m**2 + 16*m**2 + 170*m**4 + 62*m - 402*m**3 + 9*m**2 + 263*m - 5*m**5 = 0. Calculate m.
-1, 1, 32
Factor 38*x**3 + 4 + 39012*x - 2*x**4 - 4 + 2*x**2 - 39050*x.
-2*x*(x - 19)*(x - 1)*(x + 1)
Suppose -27 - 93 = -3*v. Factor -3131*u + 4*u**5 + 16*u**4 + 4*u**3 + 16*u**2 - v*u**2 + 3131*u.
4*u**2*(u - 1)*(u + 2)*(u + 3)
Let p(a) = -2 + 0 + a + 0*a + 3*a**2 - 4*a**2. Let r(z) = 3*z**2 + z + 4. Suppose -14*o - 44 = 12. Let d(y) = o*p(y) - 2*r(y). Factor d(s).
-2*s*(s + 3)
Suppose -7*s + 5*s = 0. Suppose -5*c + 5 = s, 0 = -h + c + c. Let y(u) = 5*u**2 - 4*u. Let p(r) = 21*r**2 - 17*r. Let g(l) = h*p(l) - 9*y(l). Factor g(w).
-w*(3*w - 2)
Suppose -5*y = 112*y + 66*y - 549. Determine t so that 8*t - 12/7 - 4*t**2 - 16/7*t**y = 0.
-3, 1/4, 1
Let h be 5250/770 + 2/11. Suppose 0*c + 2*c = h*c. Factor 14/11*z**3 + 0*z + c + 2/11*z**5 + 6/11*z**2 + 10/11*z**4.
2*z**2*(z + 1)**2*(z + 3)/11
Let n(b) = b + 16. Let k be n(3). Suppose 0 = k*o - 12*o. Factor -2/11*u**4 + o + 1/11*u**2 + 1/11*u**3 + 0*u.
-u**2*(u - 1)*(2*u + 1)/11
Determine h so that -3*h**5 - 21*h**2 - 2939*h**4 - 9*h**2 - 2*h**5 - 65*h**3 + 2899*h**4 = 0.
-6, -1, 0
Let r = -673893 + 673896. Factor -3/4*z**r - 3/2 - 1/4*z**4 + 3/4*z**2 + 7/4*z.
-(z - 1)**2*(z + 2)*(z + 3)/4
Let x = -15449 - -15449. Let t(i) be the third derivative of x - 2/35*i**7 + 0*i**3 + 0*i - 1/15*i**5 + 22*i**2 - 1/6*i**4 + 1/6*i**6. Factor t(p).
-4*p*(p - 1)**2*(3*p + 1)
Let i be (-4*1/6)/(2/(-24)). Let -377 + 377 - i*a**3 - 32*a**2 + 4*a**4 = 0. Calculate a.
-2, 0, 4
Let k(l) = -71*l + 205. Let n be k(3). Let j be ((-6)/(-2))/((-68)/n - -2). Factor 5/7*w**2 + w + j.
(w + 1)*(5*w + 2)/7
Suppose -4*q - y = 1680, -2*q - 4*y = 733 + 93. Let m = q - -425. Factor 0*c + 0*c**3 + 1/3 + 1/3*c**m - 2/3*c**2.
(c - 1)**2*(c + 1)**2/3
Factor 21*l + 99*l + 5*l**3 - 39*l**2 - 16*l**2.
5*l*(l - 8)*(l - 3)
Suppose 22*c - 5 = 9 - 14. Let a(k) be the third derivative of 0*k**3 + 11/240*k**6 + 1/15*k**5 + 0*k - 13*k**2 - 1/12*k**4 + c + 1/140*k**7. Factor a(i).
i*(i + 2)**2*(3*i - 1)/2
What is a in -194*a - 132*a**2 - 187*a + 44*a**3 + 40*a**4 + 3*a**5 - 87 - 111 + 46*a**3 + 2*a**4 = 0?
-11, -3, -1, 2
Suppose 0 = 24*z + 126*z - 759 + 159. Let s(t) be the first derivative of -t**z + 8/3*t**3 + 0*t + 6*t**2 - 24. Factor s(c).
-4*c*(c - 3)*(c + 1)
Let n = 80306 - 240916/3. Find z such that 1 + 26/9*z**2 - n*z**3 - 1/3*z**4 - 3*z + 1/9*z**5 = 0.
-3, 1, 3
Let m be 2 - ((-5551)/5 + 4). Let t = m - 1107. What is i in 0*i + 0 + t*i**2 - 3/5*i**3 = 0?
0, 2
Let -61/4 - 1/8*o**2 + 63/8*o = 0. What is o?
2, 61
Let s(u) be the first derivative of -u**6/33 + 2*u**5/11 + 9*u**4/11 - 52*u**3/33 - 17*u**2/11 + 42*u/11 - 1225. Suppose s(c) = 0. What is c?
-3, -1, 1, 7
Let x be 1*1/13 + 77337/3042. Find h, given that x*h - 27 + 3/2*h**2 = 0.
-18, 1
Solve 3/2*t**4 - 15*t**3 + 48*t**2 + 0 - 48*t = 0 for t.
0, 2, 4
Suppose -47*i + 667 = 1272 - 699. Solve 176/3*t + 1936 + 4/9*t**i = 0 for t.
-66
Determine t, given that -219*t**3 + 16*t**4 - 15*t**4 - 4*t**5 - 11*t**4 + 39*t**5 - 26*t**3 + 60*t - 140*t**2 = 0.
-2, -1, 0, 2/7, 3
Suppose -5*d - 8*g + 11*g + 15 = 0, -4*g - 3 = -d. What is t in 94 + t**d + 99*t + 3*t**2 + 46 + 61*t - 16*t**3 - 88*t**2 = 0?
-7, -2/3, 2
Let k = 3/116 - -1029/580. Let y be (-10 + (-136)/(-14))*-1*7. Solve -k*j**y + 4/5 + 3/5*j**4 + 2/5*j**3 + 0*j = 0 for j.
-2, -2/3, 1
Let m(j) = -8*j**3 + 1429*j**2 - 2876*j + 1462. Let z(o) = 3*o**3 - 714*o**2 + 1437*o - 729. Let c(g) = -3*m(g) - 7*z(g). Factor c(q).
3*(q - 1)**2*(q + 239)
Let b(c) be the first derivative of -3*c**4/2 - 86*c**3/15 + 66*c**2/5 - 16*c/5 + 373. Suppose b(a) = 0. Calculate a.
-4, 2/15, 1
Let y = -165351/19 + 8703. Let 64/19*t - 2/19*t**4 + 42/19*t**2 + y*t**5 - 24/19 - 54/19*t**3 = 0. Calculate t.
-3, -1, 1/3, 2
Let m be (-4)/(-34) + 6336/(-282744). Factor -52/21*p - 338/21 - m*p**2.
-2*(p + 13)**2/21
Suppose -q = -5*w + 6, -3*q + 5 = -5*w + 3. Suppose -3*s - 12 = 2*d + w*d, 4*d = 5*s - 12. Solve -2/3*v**2 + s - 4/3*v = 0.
-2, 0
Let z = 55 - 62. Let m be 15/7 + z + 5. Factor 4/7 + m*y**2 - 5/7*y.
(y - 4)*(y - 1)/7
Let q(x) = -9*x**3 - 342*x**2 + 1441*x - 1472. Let u(k) = -4*k**3 - 172*k**2 + 722*k - 736. Let n(f) = -4*q(f) + 10*u(f). Factor n(a).
-4*(a - 2)**2*(a + 92)
Let b(f) = 5 + 15*f**2 - 2*f + 6 - 17*f**2. Let c be ((-2)/4)/(9/108). Let u(t) = t**2 + t - 6. Let i(y) = c*b(y) - 11*u(y). Determine l, given that i(l) = 0.
-1, 0
Factor 4324 - 392*m**3 + 4*m**4 - 36848*m + 14428 + 18818 - 2226 + 10356*m**2.
4*(m - 47)**2*(m - 2)**2
Let r(s) be the second derivative of s**7/336 + s**6/24 + s**5/40 - 7*s**4/16 + 9*s**3/16 + 3765*s. Factor r(u).
u*(u - 1)**2*(u + 3)*(u + 9)/8
Let j = 4687 + -23431/5. Let n(p) be the first derivative of j*p**5 + 2*p**4 + 0*p**2 + 4 + 0*p + 4/3*p**3. Factor n(w).
4*w**2*(w + 1)**2
Let g(b) = -4*b**2 + 11*b - 45. Let f be (-15)/(-10)*(-8)/12*-3. Let n(d) = 2*d**2