4 + t*x - 2/7*x**2 = 0.
-2, -1, 1/4, 1
Suppose 26*c - 30*c + 48 = -4*y, -51 = -5*c - 4*y. Let -15*f + 3*f - 4 - 4*f**2 - c + 7 = 0. Calculate f.
-2, -1
Suppose -2*d + 8 = -0. Suppose -d*a + 15 = 5*o - 3, a = 2. Factor -19*v**3 - 8*v**o + 23*v**3 + 0 + 1 + 5*v - 2.
(v - 1)*(2*v - 1)**2
What is v in -2/7*v**2 - 466/7 - 468/7*v = 0?
-233, -1
Factor 940900/3 + 3880/3*a + 4/3*a**2.
4*(a + 485)**2/3
Let d(m) be the first derivative of -m**5 + 15*m**4/4 + 90*m**3 + 3899. Let d(b) = 0. Calculate b.
-6, 0, 9
Let n = 1490890/7 + -212984. Factor 6/7*v**2 + 0 + n*v**3 + 4/7*v.
2*v*(v + 1)*(v + 2)/7
Let b(z) = -z**3 - 17*z**2 + z + 19. Let t be b(-17). Solve -11079*s**3 + 4*s**t - 4*s**4 + 11079*s**3 = 0 for s.
-1, 0, 1
Suppose -c + 40 = 2*l, -30398*c + 2*l = -30395*c + 40. Suppose -11*u**2 + c + 11*u**4 + 1/2*u**5 - 121/2*u + 60*u**3 = 0. What is u?
-11, -1, 0, 1
Let g(z) = -z**3 + 4*z**2 + 2*z - 3. Let h be g(4). Let j = -10 + 12. Factor 9*v - 2*v**j - 2*v - 18*v**3 - 8*v**2 - 9 + 27*v**h + 27*v**4 + 8.
(v + 1)**2*(3*v - 1)**3
Let r = -486 - -475. Let y be (-43)/(-225) + (-2 + r)/117. Solve 0*j + 0 + 6/25*j**4 - 4/25*j**2 - y*j**3 = 0.
-2/3, 0, 1
Let z(p) be the second derivative of p**4/72 - 410*p**3/3 + 504300*p**2 + 2931*p + 2. Determine w so that z(w) = 0.
2460
Let h = 173483 - 173474. Determine c so that -3*c**4 + h + 10*c**2 + 39/2*c - 3*c**3 - 1/2*c**5 = 0.
-3, -1, 2
Let v(n) = 14*n**4 + n**3 + 2*n + 1. Let s(z) = 97*z**4 - 79*z**3 + 1128*z**2 - 4626*z + 6279. Let w(l) = -5*s(l) + 35*v(l). Solve w(c) = 0 for c.
-98, 4
Let j(b) = b**3 + 219*b**2 + 877*b + 3657. Let v be j(-215). Factor -9/5 + 3/5*o**5 + 6/5*o**v + 3*o + 3/5*o**4 - 18/5*o**3.
3*(o - 1)**3*(o + 1)*(o + 3)/5
Let q = -5216781/11 - -474253. Factor -4/11 + q*o**2 - 2/11*o.
2*(o - 2)*(o + 1)/11
Suppose 21*w + 51 = 38*w. Suppose -b - 12 = k - 5*k, -k = -w*b + 8. Solve -1/2*z**5 + 0*z**k - 8*z + 0 + 4*z**3 + 0*z**2 = 0 for z.
-2, 0, 2
Solve 2*c**2 - 33/4*c + 9/2 + 5/2*c**3 - 1/2*c**4 - 1/4*c**5 = 0 for c.
-3, 1, 2
Let 54*r - 88*r**3 + 125*r**2 + 111*r**2 - 2*r**4 + 34*r - 90 - 144*r**2 = 0. What is r?
-45, -1, 1
Suppose 1134 = -10*g + 4904. Let 36*o**3 + g*o + 2*o**4 + 53 - 89*o + 194*o**2 + 53 + 22 = 0. Calculate o.
-8, -1
Suppose 92/17*v**2 + 0 - 2/17*v**3 - 90/17*v = 0. What is v?
0, 1, 45
Suppose -15 = -3*m + 4*r, -m = r + 8 - 13. Suppose -m*w - 16 + 6*w**2 - 5*w + 26*w - 12*w = 0. What is w?
-2, 4/3
Let i be ((-639)/852)/((3/15)/(4/(-5))). Let c(f) be the second derivative of 0 + 4/21*f**i + 1/84*f**4 - 43*f + 0*f**2. Factor c(m).
m*(m + 8)/7
Find k such that 18*k**3 + 234 + 352 + 1808*k**2 + 3004*k**2 + 6392*k + 0*k**3 + 1542 = 0.
-266, -2/3
Factor -4/3*a**2 + 1676/3*a + 560.
-4*(a - 420)*(a + 1)/3
Suppose -3 - 7/4*n**2 - 1/4*n**3 - 4*n = 0. What is n?
-3, -2
Let n be (875/50)/(380/57). Factor -6*t - 3/8*t**3 + 9/2 + n*t**2.
-3*(t - 3)*(t - 2)**2/8
Let o(p) be the third derivative of -p**6/30 + 197*p**5/60 - 63*p**4/4 - p**2 - p + 334. Suppose o(g) = 0. What is g?
0, 2, 189/4
Let b(k) be the first derivative of k**5 - 15*k**4/2 - 5*k**3/3 + 15*k**2 - 1214. Factor b(o).
5*o*(o - 6)*(o - 1)*(o + 1)
Suppose 0 = 9*k + 1188 - 2583. Suppose -73*h - 82 = -k. Suppose -h - 7/2*s - 1/2*s**4 - 5/2*s**3 - 9/2*s**2 = 0. What is s?
-2, -1
Let a = 178723 - 178721. Suppose -b**3 + 0 + 1/3*b**4 - 1/3*b + b**a = 0. What is b?
0, 1
Let -4/3*s**2 + 0*s**4 + 12 - 2/3*s**5 - 18*s + 8*s**3 = 0. What is s?
-3, -2, 1, 3
Suppose -x = -3*r - 1 - 1, -15 = -3*x. Suppose -5*p = 4*b + 6 - 34, 2*p = -5*b + r. Find t such that 5 + 55*t + p*t**2 - 28*t**2 - 5*t**3 - 33 - 2 = 0.
-6, 1
Let x(h) be the first derivative of -4*h**5/5 - 10*h**4 + 64*h**3/3 + 116*h**2 + 132*h - 1119. Determine t, given that x(t) = 0.
-11, -1, 3
Let m(c) = c**3 - 12*c**2 + 24*c + 29. Let g be m(9). Let t = 529/1876 - -1/268. Let 0 + 0*j**3 + 0*j**g - 2/7*j**5 + 0*j - t*j**4 = 0. Calculate j.
-1, 0
Let c(u) = 47*u**3 + 25*u**2 + 8*u + 5. Let m(h) = 70*h**3 + 41*h**2 + 13*h + 7. Let y(t) = 7*c(t) - 5*m(t). Determine b so that y(b) = 0.
-1, -3/7, 0
Let n = 116334 + -116332. Factor -6/7 + 2/7*q**n + 4/7*q.
2*(q - 1)*(q + 3)/7
Let z(m) = 26*m - 1 - 4 - 48*m + 25*m. Let o be z(22). Determine r, given that 59 + 35*r**4 + 70*r**2 + 2*r**3 - 106*r**3 + 460*r - 131*r**3 + o = 0.
-1, -2/7, 2, 6
Let k = -2022 - -2025. Let i(l) be the second derivative of 1/225*l**6 + 0 + 4/15*l**2 + 13/90*l**4 - k*l + 4/15*l**3 + 1/25*l**5. Factor i(n).
2*(n + 1)**2*(n + 2)**2/15
Let w(d) be the first derivative of 2*d**3/51 + 774*d**2/17 + 299538*d/17 + 858. Factor w(k).
2*(k + 387)**2/17
Let 45/2*n + 156*n**2 - 12 + 135/8*n**4 + 1233/8*n**3 = 0. Calculate n.
-8, -2/3, 1/5
Suppose 2/11*f**4 + 622/11*f + 30*f**2 - 860/11 - 94/11*f**3 = 0. Calculate f.
-2, 1, 5, 43
Suppose 2*u = 3*u - 15. Determine i, given that 8 - 13*i**2 + 13*i - 21*i**5 - u*i + 5*i**4 + i**3 + 22*i**5 = 0.
-4, -2, -1, 1
Suppose -65*q - 34*q + 660 = 17*q + 16*q. Find a such that -1/5*a**q + 0*a**2 + 0 + a**3 + 0*a**4 - 4/5*a = 0.
-2, -1, 0, 1, 2
Suppose 1029*k**2 - 111*k**3 - 4719*k**5 - 4707*k**5 + 9429*k**5 + 756 - 1656*k - 21*k**4 = 0. Calculate k.
-7, 1, 6
Let d(n) be the third derivative of n**8/2800 - n**7/1400 - n**6/300 - 40*n**3/3 + 2*n**2 + 63. Let g(f) be the first derivative of d(f). Solve g(i) = 0.
-1, 0, 2
Let k(a) be the second derivative of -a**5/20 - 755*a**4/12 + 1513*a**3/6 - 757*a**2/2 + 307*a + 4. Find z such that k(z) = 0.
-757, 1
Suppose 1617 = 120*i + 219*i + 600. Factor -81/4*c**3 + 81/4*c**2 - i + 0*c.
-3*(3*c - 2)**2*(3*c + 1)/4
Let j(g) be the first derivative of g**6/30 + g**5/10 - g**4/4 - 162*g + 148. Let m(o) be the first derivative of j(o). Factor m(r).
r**2*(r - 1)*(r + 3)
Let o(k) be the first derivative of k**2 + 111 - 1/3*k**3 + 0*k. Find h such that o(h) = 0.
0, 2
Let n(s) be the second derivative of s**8/6720 - s**7/1260 - 7*s**6/720 - s**5/30 - 61*s**4/12 + 75*s. Let z(b) be the third derivative of n(b). Factor z(x).
(x - 4)*(x + 1)**2
Let s = 216/335 + 1027/1005. Factor 0*z + 4/3*z**2 + 8/3*z**3 + s*z**4 + 1/3*z**5 + 0.
z**2*(z + 1)*(z + 2)**2/3
Factor 57*h**3 + 0 + 3/4*h**4 + 663/4*h**2 + 219/2*h.
3*h*(h + 1)*(h + 2)*(h + 73)/4
Let g(f) be the third derivative of 0*f + 1/30*f**6 + 19/15*f**5 + 34/3*f**3 - 73 - f**2 + 35/6*f**4. Factor g(o).
4*(o + 1)**2*(o + 17)
Let i be ((-3)/(-6))/((-46)/16 - -3). Solve 60*h**2 + 5*h**5 + i - 4 + 191*h - 15*h**4 - 231*h - 10*h**3 = 0.
-2, 0, 1, 2
Let o(i) be the first derivative of 12*i - 2/3*i**3 + 2*i**2 - 16 + 1/12*i**4. Let n(x) be the first derivative of o(x). Find z such that n(z) = 0.
2
Let v be (((-651000)/588)/(-31))/((-15)/(-35)). Factor v*c**4 - 584/3*c - 80/3 - 460*c**2 - 950/3*c**3.
2*(c - 5)*(5*c + 2)**3/3
Let v(d) be the third derivative of d**7/735 - d**6/14 - 6*d**5/35 + 79*d**4/42 - 31*d**3/7 + 184*d**2 - 2*d + 5. Find t such that v(t) = 0.
-3, 1, 31
Let u(a) be the second derivative of 189*a**4 - 19 + 245/2*a**5 + 332/3*a**3 + 2*a - 343/30*a**6 + 32*a**2. Factor u(m).
-(m - 8)*(7*m + 2)**3
Let u be 1620/(-2) + 4 + 6. Let t be (-16)/18 + u/(-576). Let 1/2*s**3 - 2*s**2 + 2 - t*s = 0. What is s?
-1, 1, 4
Let r(i) be the third derivative of i**5/330 - 19*i**4/22 + 111*i**3/11 + 353*i**2 - 4. Factor r(p).
2*(p - 111)*(p - 3)/11
Let s be (3/198)/(3/126). Let d(p) be the first derivative of s*p**2 - 10 + 1/22*p**4 + 6/11*p + 10/33*p**3. Factor d(i).
2*(i + 1)**2*(i + 3)/11
Let g be (-1634)/(-228) - (-10)/12. Let q be (g - 11)*(-2 + 2 + -1). Let 0 + 12/5*a**2 + 12/5*a**4 - 3/5*a**5 - 3/5*a - 18/5*a**q = 0. Calculate a.
0, 1
Let h be (-426)/(((-14)/(-3))/(-7)). Let 360 - 5*t**2 + 359 - h + t**2 + 32*t = 0. What is t?
-2, 10
Suppose 10*c - 9*c - 4 = 0. Suppose c = m + 2. Factor 33*k**m - 5*k - 28*k**2 - 1 + 1.
5*k*(k - 1)
Factor 255 + 120*b**2 - 30*b - 117*b**2 - 192.
3*(b - 7)*(b - 3)
Let l(v) = v**2 + 11*v + 14. Let y be l(-9). Let z be 4/24 + (-13)/6 - y. What is j in -42*j + 2 + 44*j - z*j**2 + 2 = 0?
-1, 2
Let y(v) be the second derivative of -2*v**6/15 - 37*v**5/5 - 470*v**4/3 - 4600*v**3/3 - 6000*v**2 + 10435*v. Suppose y(c) = 0. Calculate c.
-15, -10, -2
Let r be 12 + 17630/(-1118) + (6 - 1). Factor 12/13*h**2 + r - 2/13*h**3 - 24/13*h.
-2*(h - 2)**3/13
Let v = 1550250/23 - 67402. Solve -2/23*p - v + 2/