6)*(g + 17)/7
Suppose 0 = -70*w + 69*w - 2, w + 2 = -d. Solve -b**3 - 1/4*b**4 + d + 0*b - b**2 = 0.
-2, 0
Let z be (-8)/(-28) - 60/(-35). Let x be z + -5 + 3 + 2. Suppose -2*u**2 + 3*u + 7*u**2 - 5*u - 3*u**x = 0. What is u?
0, 1
Let b(s) be the first derivative of -s**3/6 - 217*s**2/2 + 1311*s/2 - 4971. Factor b(v).
-(v - 3)*(v + 437)/2
Let a = 14548/5 + -2900. Let f(z) = z**3 + 35*z**2 - 97*z - 848. Let o be f(-37). Factor -30*n**4 + a*n - 36/5*n**2 - 6/5 - 48*n**o.
-6*(n + 1)**2*(5*n - 1)**2/5
Let s be 3/8 - 4*(-22)/((-4224)/(-18)). Find y such that 3/4*y**3 - s*y + 3/4*y**2 - 3/4*y**4 + 0 = 0.
-1, 0, 1
Suppose -4*b - 28*b + 640 = 0. Suppose 0 = -2*r + 2*l + 6, -r + b*l = 21*l - 1. Solve 6*j**r - j + 0 - j**5 - 37/4*j**3 + 21/4*j**4 = 0 for j.
0, 1/4, 1, 2
Suppose 3*v - 10 = -x, -4*x + 7 = v - 0*v. Factor o**2 + 173*o**v - 353*o**3 + 23*o**4 - 11*o**5 + 167*o**3.
-o**2*(o - 1)**2*(11*o - 1)
Let d(n) be the second derivative of -n**7/63 - n**6 - 323*n**5/30 + 4165*n**4/18 - 2392*n**3/3 + 3380*n**2/3 + 2914*n. Suppose d(k) = 0. What is k?
-26, 1, 5
Let w = 1542 - 1540. Let z be (-1)/(-4)*w + (-1251)/4726. Factor 0*b**3 + 4/17*b**4 + 0 - 2/17*b**5 + 2/17*b - z*b**2.
-2*b*(b - 1)**3*(b + 1)/17
Let u(t) be the first derivative of -t**5/2 - 25*t**4/16 + 25*t**3/3 + 25*t**2/8 - 45*t/2 + 858. Determine o, given that u(o) = 0.
-9/2, -1, 1, 2
Let y(q) be the first derivative of -1/15*q**6 + 0*q - 3 - 4/25*q**5 + 0*q**2 - 1/10*q**4 + 0*q**3. Factor y(d).
-2*d**3*(d + 1)**2/5
Let a(v) be the third derivative of -v**7/2520 - v**6/180 - 37*v**4/24 - 61*v**2 - v. Let i(q) be the second derivative of a(q). Factor i(c).
-c*(c + 4)
Let a = -1/716 - -2869/3580. Factor 32/5*k - 36/5 + a*k**2.
4*(k - 1)*(k + 9)/5
Suppose 4*p + 20 = -4*g, 15*p + 140 = 65. Let z(f) be the third derivative of 1/540*f**6 + 22*f**2 - 1 - 13/108*f**4 + g*f - 7/27*f**3 - 1/54*f**5. Factor z(r).
2*(r - 7)*(r + 1)**2/9
Factor 41*h**2 + 4*h**4 + 1723 + 1659 - 48*h**3 + 603*h - 113*h**2 + 693*h - 466.
4*(h - 9)**2*(h + 3)**2
Let b(z) = -22*z**4 - 340*z**3 - 1288*z**2 - 1209*z + 723. Let g(x) = -x**4 + x**2 - 7*x - 1. Let r(c) = b(c) + 3*g(c). Let r(o) = 0. What is o?
-8, -3, 2/5
Let q = 127714 - 383128/3. Factor 0 - q*r**2 + 2/3*r.
-2*r*(7*r - 1)/3
Let i = 61688/7 + -184742/21. Factor -529/3 - i*c - 1/3*c**2.
-(c + 23)**2/3
Let y be (-352)/(-55) - 6 - 688/20. Let v be (24/(-105))/(y/119). Factor 0 - 2/5*w**2 - v*w.
-2*w*(w + 2)/5
Let s(w) be the first derivative of w**8/1680 - w**7/168 + 7*w**6/360 - w**5/40 - 92*w**3/3 - 68. Let m(i) be the third derivative of s(i). Factor m(j).
j*(j - 3)*(j - 1)**2
Suppose 0 = -3*j + j + 2*z + 4, 0 = -5*j - 2*z + 24. Suppose j = -56*o + 57*o. Factor p - 3/5*p**2 - 1/5 + 4/5*p**o - p**3.
(p - 1)**2*(p + 1)*(4*p - 1)/5
Let o be 378/21 + 35/(-2). Let i(s) be the first derivative of 3/4*s**4 + o*s**2 - 25 + 5/3*s**3 - s. Let i(q) = 0. Calculate q.
-1, 1/3
Suppose 1642*s = -1581*s + 780*s - 733*s - 577*s. Factor -1/6*v**2 + s + v.
-v*(v - 6)/6
Factor 680/3 - 332/3*q - 4/3*q**3 - 344/3*q**2.
-4*(q - 1)*(q + 2)*(q + 85)/3
Let o(d) be the third derivative of -1/16*d**4 + 1/80*d**6 + 2 - 14*d**2 + 0*d**3 + 0*d**5 + 0*d. Factor o(n).
3*n*(n - 1)*(n + 1)/2
Let g be 45/1 - 10 - 35. Solve 3/2*o**3 + 1/2*o**4 + 0*o + g + o**2 = 0 for o.
-2, -1, 0
Let p(y) be the second derivative of -1/54*y**4 + 1/270*y**5 - 7*y**2 + 9*y + 0 + 0*y**3. Let q(r) be the first derivative of p(r). Factor q(u).
2*u*(u - 2)/9
Factor 8*g**3 + 4211*g**2 + 6*g**3 + 11*g**3 - 101*g**2 + 1640*g.
5*g*(g + 164)*(5*g + 2)
Let b(n) = -n**3 - 10*n**2 - 13*n - 31. Let p be b(-9). Suppose -p*g + 2 = -8. Factor -2/7*y**3 - 8/7 + 2/7*y**g + 8/7*y.
-2*(y - 2)*(y - 1)*(y + 2)/7
Let y(t) be the first derivative of -5*t**4/16 - 5*t**3/6 + 5*t**2 + 729. Suppose y(w) = 0. What is w?
-4, 0, 2
Let h(f) be the second derivative of -1/3*f**4 + 0 + 26*f**2 + 8*f**3 - 34*f. Factor h(b).
-4*(b - 13)*(b + 1)
Let h be (-52 + 53)/((6/22)/3). Suppose 20*y + h = 71. Factor 60/7*v - 24/7 - 6*v**2 + 9/7*v**y.
3*(v - 2)**2*(3*v - 2)/7
Let u(a) be the third derivative of -a**6/120 + 227*a**5/60 + 457*a**4/24 + 229*a**3/6 - 1229*a**2. Find o, given that u(o) = 0.
-1, 229
Suppose s - 3*i + 104 - 13 = 0, -3*i + 12 = 0. Let m = s + 82. Factor 42*n**m + 15*n**3 - 8*n - 16*n**3 + 11*n**3 - 44*n**2.
4*n*(n - 1)*(13*n + 2)
Let k(f) = 38*f + 159. Let a be k(-4). Suppose 4*d + 9*n = 4*n - a, 5*d = 3*n + 19. Suppose -2/9*i**d + 0*i + 0 - 2/9*i**4 + 4/9*i**3 = 0. What is i?
0, 1
Let c be 10/8 + ((-4095)/12 - -2). Let m = 340 + c. Let 0 + 0*n + 1/3*n**3 + 1/3*n**m = 0. Calculate n.
-1, 0
Let f(q) = -214*q**3 - 52*q**2 - 130*q + 3042. Let m(s) = -24*s**3 - 2*s**2. Let l(d) = 2*f(d) - 18*m(d). Factor l(o).
4*(o - 13)**2*(o + 9)
Suppose -274*v - 298*v = -29*v - 4344. Factor -v*s**2 + 7/2*s**3 + 2*s + 0.
s*(s - 2)*(7*s - 2)/2
Let z be 63/35*32/96. What is a in -z*a**4 - 21/5*a**2 - 3*a**3 + 0 - 9/5*a = 0?
-3, -1, 0
Let c(n) be the third derivative of -7 - 4*n**2 + 0*n**4 + 0*n**3 - 1/20*n**5 - 1/48*n**6 + 0*n - 1/420*n**7. Determine t so that c(t) = 0.
-3, -2, 0
Let p(a) = -225*a + 4110. Let j(r) = 2*r**2 + 2936 - r**2 - 873 + 2046 - 224*r. Let z(g) = 3*j(g) - 2*p(g). Factor z(c).
3*(c - 37)**2
Let -s**3 + 7 - 3*s**2 + 5*s**3 + 26*s - 54*s + 11*s**2 + 9 = 0. Calculate s.
-4, 1
Suppose -66 - 36 = -34*v. Let j be (81/(-225))/(v/(-5))*5. Find n, given that 0*n + 0 - 2/7*n**4 + 11/7*n**j + 2/7*n**2 - 11/7*n**5 = 0.
-1, -2/11, 0, 1
Let p(c) be the second derivative of 3/140*c**5 + 12 + 4/7*c**3 - 3*c + 0*c**2 - 9/28*c**4. Solve p(y) = 0 for y.
0, 1, 8
Suppose -2*p - 9 = 5*g + 9, -16 = 4*g. Let j be -27*(p/(-24) - 0). Solve -7/4*h**2 - 3/8*h + 1/4*h**3 + 1/8*h**5 + j + 5/8*h**4 = 0.
-3, -1, 1
Factor -2/19*j**4 + 0 + 6/19*j**3 - 4/19*j**2 + 0*j.
-2*j**2*(j - 2)*(j - 1)/19
Let a(v) = 45*v**4 - 87*v**4 + 16*v**3 + 52*v**2 + 36 + 60*v + 48*v**4. Let i(g) = g**4 + g**2 - g + 1. Let y(m) = -a(m) + 4*i(m). Factor y(l).
-2*(l + 2)**4
Let 8*a**2 - 1/3*a**3 + 27*a + 0 = 0. Calculate a.
-3, 0, 27
Factor 1/4*y**3 + 7/4*y**2 - 9 + 0*y.
(y - 2)*(y + 3)*(y + 6)/4
Solve -40/9 + 22/9*u**2 + 2/9*u**5 + 2*u**4 + 46/9*u**3 - 16/3*u = 0.
-5, -2, -1, 1
Let g = -23 - -27. Factor 5*c**g + 19*c**3 - 10*c - 19*c**3 - 15*c**2.
5*c*(c - 2)*(c + 1)**2
Let g(t) be the second derivative of t**6/40 + 21*t**5/80 - 7*t**4/8 - 6*t**3 - 4*t + 91. Determine q, given that g(q) = 0.
-8, -2, 0, 3
Let i = -7840/97 - -55753/679. Factor -3/7*z**2 - 6/7 + i*z.
-3*(z - 2)*(z - 1)/7
Let x(v) be the third derivative of -v**5/10 + 2*v**4/9 + v**3/9 + 332*v**2 + 2. Factor x(c).
-2*(c - 1)*(9*c + 1)/3
Let w(p) be the second derivative of -9*p**5/10 - 3*p**4/4 + 13*p**3/2 + 15*p**2/2 + 39*p. Let h(s) = -s**3 - s + 1. Let g(y) = 15*h(y) - w(y). Factor g(l).
3*l*(l - 3)*(l + 6)
Suppose -d = 2*a - 19, d - 5*a = -4*d + 110. Solve 5*x**3 - x**4 - x + d*x**2 + 5*x - x**5 - 16*x**2 - 16*x**2 + 4*x**3 = 0.
-4, 0, 1
Let s = -469 - -559. Find n, given that -33*n + s - 42*n**2 - 286 + 236*n + 2*n**4 - 11*n**3 + 45*n**2 - n**4 = 0.
-4, 1, 7
Suppose 0 = 38*r - 49*r - 14256. Let q = 1298 + r. Determine y, given that y**q + 0 - 1/4*y = 0.
0, 1/4
Let d(t) = 50*t + 8. Let u be d(-2). Let w = u - -117. Find m such that 23*m + 7*m**2 + 62 - 31 - w = 0.
-3, -2/7
Let m(l) be the second derivative of 3/4*l**4 + 0*l**2 + 0 + 2*l**3 - 164*l. Factor m(f).
3*f*(3*f + 4)
Let m(h) be the second derivative of h**4/4 + 99*h**3/2 - 303*h**2 + 472*h + 1. Let m(z) = 0. What is z?
-101, 2
Let z be (49/(-2205))/(4/(-12)). Let q(m) be the first derivative of 38 + 1/5*m**2 - 1/20*m**4 + 0*m + z*m**3. Factor q(d).
-d*(d - 2)*(d + 1)/5
Factor 1/5*f**2 + 1758276/5 + 2652/5*f.
(f + 1326)**2/5
Let s(n) be the first derivative of -4*n**5/15 - 19*n**4/3 + 452*n**3/9 - 110*n**2 + 96*n + 1319. Find i, given that s(i) = 0.
-24, 1, 3
Factor -2*h**2 - 1108397 - 5994*h - 3859155 - 421*h + 111*h.
-2*(h + 1576)**2
Let w(d) be the second derivative of 0 + 3*d**4 + 0*d**2 + 0*d**3 + 3/20*d**5 + 142*d. Find p such that w(p) = 0.
-12, 0
Find y, given that -82*y - 112*y + 26*y + 2*y**2 + 266 - 161*y + 61*y = 0.
1, 133
Suppose -21*q - 111*q - 331*q = 0. Let 0*r**3 + q + 0*r + 7/6*r**4 + 1/2*r**5 - 2/3*r**2 = 0. Calculate r.
-2, -1, 0, 2/3
Let w(v) b