**2 + 0 + 1/5*q**3 - 12/5*q = 0. Calculate q.
-12, 0, 1
Let z(a) be the first derivative of -4/5*a**3 + 0*a - 1/5*a**4 + 0*a**2 + 43. Factor z(u).
-4*u**2*(u + 3)/5
Suppose -1937*y - 9 = -1940*y. Let l(p) be the first derivative of 20 + 0*p + 5*p**y + 0*p**2 - 3/4*p**4. Factor l(q).
-3*q**2*(q - 5)
Let s(h) be the first derivative of 0*h**2 - 70 + 0*h - 2/9*h**3 + 1/36*h**4. Factor s(v).
v**2*(v - 6)/9
Suppose 9*t = 1297 - 208. Suppose -t*x + 26 = -108*x. Determine g so that -2/17*g**x - 12/17 - 14/17*g = 0.
-6, -1
Let y(p) be the second derivative of 3*p**5/20 + p**4/2 - 195*p**3/2 - 506*p + 4. Factor y(u).
3*u*(u - 13)*(u + 15)
Suppose 8 = 5*w + 33, -t = -5*w - 25. Let v be -20 - -18 - 32/(-12). Find z, given that -v*z**3 + 4/3*z**2 - 2/3*z + t = 0.
0, 1
Factor 8*s**3 + 1113*s - 135 - 306*s**2 + 507*s - 465 + 0*s**3 + 7*s**3.
3*(s - 10)**2*(5*s - 2)
Suppose 0 = 32*u - 30*u + 6. Let b be (-8)/(-7)*-4*u/24. Let 0 + b*x**2 - 8/7*x + 4/7*x**3 = 0. Calculate x.
-2, 0, 1
Let o = -287326 - -287328. What is i in -o*i**2 - 1/2*i**5 + 2*i**3 + 0 + 1/2*i**4 + 0*i = 0?
-2, 0, 1, 2
Let r be (-48)/(-162)*6 + (-4)/(-18). Let y be (-112)/(-63) - r/(-9). Solve 1/3*h**y - 1/3*h - 2/3 = 0.
-1, 2
Let m(y) be the third derivative of -y**6/300 - 322*y**5/75 - 103037*y**4/60 + 208658*y**3/15 + 3*y**2 - 117. Let m(p) = 0. What is p?
-323, 2
Let y(v) be the first derivative of 0*v - 3/32*v**4 + 0*v**2 + 17/3*v**3 - 1/480*v**6 + 3 + 1/40*v**5. Let j(u) be the third derivative of y(u). Factor j(w).
-3*(w - 3)*(w - 1)/4
Let n = 452384 + -452382. Factor -d + 5/4 - 1/4*d**n.
-(d - 1)*(d + 5)/4
Let o(q) = q**4 + 1. Let x(g) = -196*g**5 + 500*g**4 - 240*g**3 + 32*g**2 - 4. Let u(m) = 5*m + 101. Let z be u(-20). Let w(b) = z*x(b) + 4*o(b). Factor w(v).
-4*v**2*(v - 2)*(7*v - 2)**2
Let u = 1949/741 + 9/247. Let i(o) be the second derivative of u*o**3 - 10*o**2 + 2/5*o**5 + 0 - 21*o + 11/3*o**4. Solve i(r) = 0.
-5, -1, 1/2
Let k be 37/(2553/184) - (-1)/3. Suppose 0 = 2*h - 1 - 7, -h = -2*d. What is r in -20 - 4*r**2 - 40*r + 81*r**d + 18*r**2 - 35*r**k = 0?
-2/7, 1, 2
Let h(t) = 4*t**3 + t**2 - 4*t + 2. Let a be h(2). Factor -2*j + j**4 + 28*j**2 - j**2 - a*j**2.
j*(j - 2)*(j + 1)**2
Find h such that 1564*h**4 + 918*h**2 - 873*h + 873*h**3 - 1567*h**4 - 420 - 456 - 39*h**2 = 0.
-1, 1, 292
Let y(u) = 2*u**3 + u**2 - u + 1. Let c(j) = 11*j**3 - 10*j**2 + 67*j - 103. Let m(g) = -c(g) + 5*y(g). Factor m(s).
-(s - 6)**2*(s - 3)
Factor 71*i - 2 + 72 - 1886*i**2 + 1887*i**2.
(i + 1)*(i + 70)
Let u(l) = 3*l**4 - 6*l**3 + 3*l**2 + 105*l - 6. Let b(k) = 3*k**4 - 6*k**3 + 2*k**2 + 72*k - 5. Let y(h) = -3*b(h) + 2*u(h). Let y(w) = 0. What is w?
-1, 1
Let a(u) be the third derivative of -1/57*u**4 - 91*u**2 + 1/1995*u**7 + 0 + 0*u + 1/1140*u**6 + 0*u**3 - 2/285*u**5. Let a(s) = 0. Calculate s.
-2, -1, 0, 2
Let t(d) be the first derivative of -d**6/12 + 3*d**4/8 - d**3/3 - 835. Factor t(m).
-m**2*(m - 1)**2*(m + 2)/2
Solve -151 + 10*g**2 + 2*g**3 - 14 - 60 + 30*g - 25 - 80*g = 0.
-5, 5
Let y(g) be the first derivative of -g**5/30 + g**3/9 - 29*g - 86. Let x(z) be the first derivative of y(z). Let x(f) = 0. Calculate f.
-1, 0, 1
Let a(o) = 388 + 159 - 11*o**2 - 285*o - 4*o**2 + 10*o**2 + 2*o**2. Let g(u) = u**2 + 145*u - 274. Let b(v) = 4*a(v) + 7*g(v). Find p such that b(p) = 0.
-27, 2
Let z(x) = 37*x**2 + 20*x - 6. Let i be z(6). Let c = 7232/5 - i. Factor -c*p - 2/15 - 2/5*p**2 - 2/15*p**3.
-2*(p + 1)**3/15
Suppose 5*m + 6 = 1, 3*q + 3*m = 57. Factor q*d**2 - 11*d - 5*d**4 - 8*d + 5*d**3 + 0*d - d.
-5*d*(d - 2)*(d - 1)*(d + 2)
Let c = 627/17 - -17705/68. Let z = -291 + c. Factor 0 + 1/4*x**4 + 5/2*x**3 + 0*x + z*x**2.
x**2*(x + 5)**2/4
Let h(b) be the third derivative of -b**7/210 + 28*b**6/15 - b**2 + 533. Factor h(d).
-d**3*(d - 224)
Let 46*b**3 - 4*b**4 - 5*b**3 - 11112 + 771*b**3 + 11112 = 0. What is b?
0, 203
Let i be (-3705)/(-130) + (-4 - -1). Find l such that 0 + 7*l + i*l**2 + 7/2*l**3 = 0.
-7, -2/7, 0
Let o(h) be the second derivative of -7*h**6/180 - 9*h**5/20 + h**4/3 + 33*h**3 - 169*h. Let d(m) be the second derivative of o(m). Let d(f) = 0. Calculate f.
-4, 1/7
Let m(w) be the first derivative of -3*w**5/5 - 9*w**4 - 34*w**3 + 18*w**2 + 105*w - 97. Let m(f) = 0. Calculate f.
-7, -5, -1, 1
Suppose 6*h = -381 + 765. Determine u so that -h*u + 212*u + 46 - u**2 + 105 - 5627 = 0.
74
Let t(b) be the third derivative of b**5/33 - 21*b**4/44 + 6*b**3/11 - 2*b**2 - 199*b. Find n such that t(n) = 0.
3/10, 6
Let o be (-510)/17*3/(819/(-26)). Suppose -o*z + 8/7*z**2 + 1/7*z**3 + 0 = 0. What is z?
-10, 0, 2
Suppose 24*v - 28*v + 72 = 0. Factor 31*f + 3*f**2 + f**3 + 2*f - 19*f**2 - 2*f**2 - v + 2*f**3.
3*(f - 3)*(f - 2)*(f - 1)
Let j be ((-3192)/(-390) + -8)/((-39)/(-325)). Suppose 6/13 - j*q - 18/13*q**2 + 8/13*q**3 = 0. Calculate q.
-1, 1/4, 3
Determine h, given that 6*h**5 + 350/3*h**2 + 168 + 416*h - 562/3*h**3 + 14*h**4 = 0.
-7, -2/3, 3
Let m(g) be the third derivative of 80*g**2 + 0 + 1/2688*g**8 + 1/192*g**6 - 1/240*g**5 - 1/420*g**7 + 0*g**4 + 0*g**3 + 0*g. Factor m(a).
a**2*(a - 2)*(a - 1)**2/8
Suppose -165 + g**4 - 7*g**3 + 123 - 19*g**2 + 7*g + 60 = 0. What is g?
-2, -1, 1, 9
Let k(d) = -d**2 + 42*d + 1. Let y be k(42). Let w be ((-4)/(-35))/(y + (-9)/15). Factor -10/7*c**2 + 16/7*c - 8/7 + w*c**3.
2*(c - 2)**2*(c - 1)/7
Let y(c) = 5*c - 18. Let g be y(4). Factor 36*v**3 + 37*v**3 - 68*v**g + 33*v**3 - 22*v**3 + 36*v**4 + 12*v.
4*v*(v + 3)*(3*v - 1)**2
Let q(s) = 5*s**2 - 506*s + 1091. Let r be q(99). Find n, given that -48/7 + 18/7*n + 3/7*n**r = 0.
-8, 2
Let n = 5731 - 154736/27. Let v(o) be the second derivative of n*o**4 - 1/135*o**6 + 0*o**3 - 1/9*o**2 - 26*o + 0*o**5 + 0. Factor v(b).
-2*(b - 1)**2*(b + 1)**2/9
Let s(g) be the first derivative of g**6/1260 + 5*g**5/42 + 625*g**4/84 + 4*g**3/3 - 5*g + 9. Let d(k) be the third derivative of s(k). Factor d(i).
2*(i + 25)**2/7
Let c(f) be the first derivative of -5*f**2 - 60 - 200*f + 35/3*f**3 - 5/4*f**4. Factor c(r).
-5*(r - 5)*(r - 4)*(r + 2)
Let u = 199/1195 - -8/239. Factor 1/5*h + 1/5*h**4 + 2/5 - 3/5*h**2 - u*h**3.
(h - 2)*(h - 1)*(h + 1)**2/5
Let m be 52800/(-22880)*(-52)/25. Factor 4/5*f**3 - 2/5*f**4 + 0 - m*f + 22/5*f**2.
-2*f*(f - 4)*(f - 1)*(f + 3)/5
Let w = -21032 - -147226/7. Factor w*b**2 + 8/7*b - 10/7.
2*(b - 1)*(b + 5)/7
Let c(g) = 6*g**2 + 72*g + 199. Let b(y) = -3*y**2 - 36*y - 100. Suppose 0*n = -4*n + l - 15, -5*l = 5*n + 25. Let s(k) = n*c(k) - 7*b(k). Factor s(u).
-3*(u + 4)*(u + 8)
Let u = -1202 - -1904. Let 3*j**4 - u*j**3 + 3*j**2 - 3 - 51 + 63*j + 687*j**3 = 0. Calculate j.
-2, 1, 3
Suppose -547*j + 2*b = -528*j - 67, 0 = -5*j + 3*b + 30. Factor 6 + 1/3*d**2 - j*d.
(d - 6)*(d - 3)/3
Let l(n) be the first derivative of -24/5*n**2 - 2 - 1/10*n**6 - 6/5*n**5 - 99/20*n**4 - 8*n**3 + 0*n. Factor l(j).
-3*j*(j + 1)**2*(j + 4)**2/5
Suppose -10*o + 205*o - 2730 + 390 = 0. Solve o*r + 27/5 + 6/5*r**3 + 39/5*r**2 = 0.
-9/2, -1
Let d = 76 - 86. Let j be d/(-4) + -1*5/10. Factor -20*f**2 + 54*f**2 + 5 - 4*f - 29*f**j - 6*f.
5*(f - 1)**2
Determine r, given that 25/4*r**5 + 0 + r**3 + 57/2*r**2 - 65/2*r**4 - 45/4*r = 0.
-1, 0, 3/5, 5
Let n = 244 - 208. Determine j, given that 2*j - j - 5*j + j**3 + 2*j**2 - 35*j**4 + 3*j**3 + n*j**4 - 3 = 0.
-3, -1, 1
Factor -2/9*d**3 - 10 + 26/9*d**2 - 62/9*d.
-2*(d - 9)*(d - 5)*(d + 1)/9
Let h(r) be the first derivative of -3*r**4/8 - 97*r**3/2 - 2637*r**2/4 - 2349*r/2 + 1319. Let h(w) = 0. What is w?
-87, -9, -1
What is a in -4 - 28*a**2 + 51/4*a**3 - 7/4*a**4 + 21*a = 0?
2/7, 1, 2, 4
Let m(o) be the second derivative of -3*o**5/80 - 159*o**4/16 - 78*o**3 - 465*o**2/2 - 13*o + 14. Factor m(f).
-3*(f + 2)**2*(f + 155)/4
Suppose -137/6*h - 455/3 - 1/6*h**2 = 0. What is h?
-130, -7
Let f(l) be the second derivative of -l**9/25200 - l**8/5600 - l**4/12 + 6*l**2 - l + 58. Let h(r) be the third derivative of f(r). Suppose h(n) = 0. What is n?
-2, 0
Let t(s) = -48*s - 91. Let m be t(-2). Let 32*u**2 + u**4 - m*u**4 + 2570*u - 2570*u - 28*u**3 = 0. Calculate u.
-8, 0, 1
Let n(d) be the second derivative of 89*d + 2/9*d**3 + 8/45*d**6 + 0*d**2 + 19/36*d**4 + 19/40*d**5 + 0 + 5/252*d**7. What is a in n(a) = 0?
-4, -1, -2/5, 0
Let d(c) = 2*c**3 - 17*c**2 + 18*c. Let p be d(8). 