*w**2 - 78*w + 49*w**2 - 360 + 33*w**2 + 23*w**2 = 0?
-4, 30
Let y be 3 + (-388)/(-12)*63/(-117). Let d = y + 209/13. Determine h so that -35/3*h**2 + 5*h + 0 - d*h**4 + 25/3*h**3 = 0.
0, 1, 3
Let y be -4 - 0 - (-4185)/1050. Let d = 697/210 - y. Factor -d*u**2 + 14/3*u - 4/3.
-2*(u - 1)*(5*u - 2)/3
Let p(h) be the second derivative of h**6/45 - h**5/6 + h**4/3 + 4*h**3/9 - 8*h**2/3 + 511*h + 1. Solve p(n) = 0 for n.
-1, 2
Let s = -19232 + 19236. Let p(w) be the first derivative of 2*w**2 - 6*w + s - 1/8*w**4 + 1/6*w**3. Let p(o) = 0. Calculate o.
-3, 2
Let t be 3*82/182 - ((-772)/28 - -19 - -9). Let 24/13*d + t*d**2 + 2/13*d**3 + 16/13 = 0. Calculate d.
-2
Let a = -1241 - -1251. Suppose -7*j + a = -12*j - 2*t, j - 2*t = 10. What is s in 0 + 2/9*s**3 + 0*s**2 + j*s = 0?
0
Determine b so that 123*b - 1980 + 21*b**2 - 7145*b + 98*b = 0.
-2/7, 330
Find q such that -56*q**3 - 4*q**4 - 852*q**5 - 144*q**2 - 22*q**3 + 854*q**5 = 0.
-3, 0, 8
Let p(f) be the third derivative of 3/20*f**6 + 0 - 1/4*f**4 - 1/56*f**8 + 1/20*f**5 + 35*f + 0*f**3 + 1/70*f**7 + 2*f**2. Determine q so that p(q) = 0.
-1, 0, 1/2, 2
Let d(o) = -3*o**5 + 33*o**4 + 18*o**3 - 60*o**2. Let c(k) = -2*k**5 + 31*k**4 + 19*k**3 - 57*k**2. Let h(t) = 4*c(t) - 3*d(t). Factor h(f).
f**2*(f - 1)*(f + 2)*(f + 24)
Let w(b) be the first derivative of 2/65*b**5 + 34/13*b**2 + 50 - 66/13*b + 64/39*b**3 - 17/13*b**4. Solve w(i) = 0.
-1, 1, 33
Let q be (7/35)/(77/210). Factor -2/11*w**3 - q*w - 6/11*w**2 - 2/11.
-2*(w + 1)**3/11
Let o = 61/4213 + 16669/12639. Factor 0*y + 0*y**2 + 10/3*y**5 - 14/3*y**4 + 0 + o*y**3.
2*y**3*(y - 1)*(5*y - 2)/3
Suppose -2*t + f - 237 = -248, 26 = -t - 4*f. Factor 2/3*z - 2/3*z**4 + 2*z**3 + 0 - t*z**2.
-2*z*(z - 1)**3/3
Let s = 875 + -845. Let i be 5 - 156/s - 3/(-15). Solve 1/2*u**3 - 1/2*u**2 + i*u + 0 = 0 for u.
0, 1
Let a(n) be the first derivative of -3*n**5/20 - n**4 + 2*n**3 + 24*n**2 + 4*n + 40. Let i(x) be the first derivative of a(x). Factor i(k).
-3*(k - 2)*(k + 2)*(k + 4)
Let a(v) = -3*v**2 + 133*v + 92. Let x be a(45). Let p be -4*x/20*(-15 + 12). Factor 3/5*n**3 + 0 - p*n**2 + 0*n.
3*n**2*(n - 2)/5
Let u(x) be the second derivative of x**5/4 + 55*x**4/12 - 115*x**3/3 - 140*x**2 + 1330*x. Factor u(h).
5*(h - 4)*(h + 1)*(h + 14)
Suppose -2*v - h - 34 = -52, -8 = 3*v - h. Factor 5/3 + 14/9*l - 1/9*l**v.
-(l - 15)*(l + 1)/9
Let m(c) be the second derivative of c**7/49 + c**6/3 + 9*c**5/10 - 223*c**4/42 - 58*c**3/7 + 80*c**2/7 + 1230*c. Solve m(o) = 0.
-8, -5, -1, 1/3, 2
Let w be (-12*8/12)/((-24)/52). Let o(x) be the first derivative of 24*x**2 - 16*x - 4/5*x**5 - 17 - w*x**3 + 6*x**4. Factor o(k).
-4*(k - 2)**2*(k - 1)**2
Let t(d) = 13*d**5 - 8725*d**4 - 3496*d**3 - 7. Let z(o) = 6*o**5 - 4362*o**4 - 1748*o**3 - 4. Let l(p) = 4*t(p) - 7*z(p). Solve l(b) = 0 for b.
-2/5, 0, 437
Suppose 18*h - 192 = 6*h. Factor -h*n - 2639*n**2 + 7 + 2637*n**2 + 11.
-2*(n - 1)*(n + 9)
Let m(a) be the second derivative of 0 - 96*a**3 - 5*a**5 + 56*a**4 + 0*a**2 + 2/15*a**6 - 46*a. Factor m(w).
4*w*(w - 12)**2*(w - 1)
Suppose 12*p = 99*p + 98*p. Solve 8/5*r + 2/5*r**3 - 2*r**2 + p = 0 for r.
0, 1, 4
Solve 127/2*y**2 - 1/6*y**3 + 0 + 0*y = 0 for y.
0, 381
Suppose -p - 39 = 5*c, -4*c + 13 = -7*c + 2*p. Let h be (c - -8)*(10/7)/5. Factor h*t**2 - 12/7 - 2/7*t.
2*(t - 3)*(t + 2)/7
Let v(c) be the second derivative of c**7/252 - c**6/90 - c**5/40 - 588*c. Suppose v(x) = 0. What is x?
-1, 0, 3
Let s(m) be the third derivative of 0*m - 1/72*m**4 + 0*m**3 - 11*m**2 - 1/360*m**6 + 3 + 1/90*m**5. Factor s(f).
-f*(f - 1)**2/3
Suppose q + 5*c = -7, -85 = -4*q + c - 71. Suppose -6 + 2 = -2*g. Factor -3*b**g + 8*b - 2*b**2 - q*b + 10*b - 10.
-5*(b - 2)*(b - 1)
Suppose -12*t = -8*t - 3*x - 24, 2*x = -4*t + 4. Let u be -4*t/(-54) + 130/(-585). Factor u - 3*r + 1/2*r**3 + 1/2*r**2.
r*(r - 2)*(r + 3)/2
Let j(g) be the first derivative of 4*g**3/3 + 526*g**2 + 1048*g - 1531. Solve j(w) = 0.
-262, -1
Let d(l) be the first derivative of 0*l**3 + 1/60*l**6 - 8*l**2 + 0*l**4 + 1/15*l**5 + 4 + 0*l. Let j(u) be the second derivative of d(u). Solve j(v) = 0.
-2, 0
Let q(l) be the third derivative of l**7/210 - l**6/40 - 121*l**5/60 - 39*l**4/8 - 11*l**2 - 4*l. Factor q(h).
h*(h - 13)*(h + 1)*(h + 9)
Suppose 8*x + 17*x - 47 = 3. Factor -147 + 21*v - 3/4*v**x.
-3*(v - 14)**2/4
Let -322 + 3*m**2 - 1190710*m + 1191628*m - 599 = 0. What is m?
-307, 1
Let 94/5*s**3 + 4/15*s + 322/15*s**4 + 0 + 62/15*s**2 + 98/15*s**5 = 0. What is s?
-2, -1, -1/7, 0
Suppose 2*y = -2*c - 2, y = 3*c - 1 - 4. Factor -85*l + c + 85*l - 3*l**2 + 2.
-3*(l - 1)*(l + 1)
Let q(p) be the second derivative of -17*p**4/54 + 55*p**3/27 + 8*p**2 - 749*p. Factor q(x).
-2*(x + 1)*(17*x - 72)/9
Let x be (94 - -1)/(8*9/(-216)). Let c be (-19)/(x/(-156)) + 11. Find d, given that 1/5*d**4 - c*d**2 + 0*d**3 + 0 + 2/5*d = 0.
-2, 0, 1
Let a = 2/1854377 - -3178930/1854377. Factor a - 4*o**2 + 16/7*o.
-4*(o - 1)*(7*o + 3)/7
Let m = 1572067024723/8337 + -188565071. Let u = m + -2/2779. Factor u*f**2 + 2/9*f**4 - 16/9*f**3 - 32/9 + 16/9*f.
2*(f - 4)**2*(f - 1)*(f + 1)/9
Let z(i) be the second derivative of i**4/90 + 28*i**3/15 + 196*i**2/3 - 6090*i. Factor z(j).
2*(j + 14)*(j + 70)/15
Let b be (-210)/(-480)*(-120)/(-14). Determine u so that -7/4 - u**5 + b*u**4 + 9/2*u - 7/2*u**3 - 2*u**2 = 0.
-1, 1, 7/4
Suppose 5*q + 0*t + t = 147, 6 = -2*t. Suppose -36*a = -q - 42. Find f, given that 7/3*f**4 + 0*f + 3*f**3 + 2/3*f**a + 0 = 0.
-1, -2/7, 0
Suppose x - 7 = -2*u, 3 + 7 = 4*x - u. Solve 43*k + 132*k**2 - 20*k**x - 27*k + 40*k + 0*k**2 = 0.
-2/5, 0, 7
Let k(s) be the first derivative of 3*s**6/2 + 219*s**5/5 - 99*s**4 - 52*s**3 - 916. Determine o, given that k(o) = 0.
-26, -1/3, 0, 2
Let r(q) = q**3 - 55*q**2 + 158*q - 99. Let o be r(52). Let x(m) be the second derivative of 1/30*m**o + 0*m**2 + 0*m**3 + 0 + 1/18*m**4 + 20*m. Factor x(i).
2*i**2*(i + 1)/3
Solve -30*t**5 - 206*t + 56*t**3 + 92*t**2 + 186*t**3 - 4*t**5 + 102*t**2 + 28 - 2*t**5 - 222*t**4 = 0 for t.
-7, -1, 1/6, 2/3, 1
Suppose 4*f - 119*f - 244 = -704. Let d(c) be the second derivative of -1 + 21/16*c**f - 4/3*c**3 + 1/2*c**2 + 20*c. Let d(b) = 0. Calculate b.
2/9, 2/7
Factor 3384849 + 2*m**2 - 4*m**2 - 3382127 - 2720*m.
-2*(m - 1)*(m + 1361)
Let s(o) be the second derivative of o**4/12 - 15*o**3/2 + 82*o**2 - 108*o + 50. Factor s(j).
(j - 41)*(j - 4)
Let w(v) be the second derivative of -v**8/840 + 2*v**7/35 + 5*v**6/36 - 20*v**3/3 - 3*v**2/2 + 306*v. Let x(n) be the second derivative of w(n). Factor x(y).
-2*y**2*(y - 25)*(y + 1)
Suppose -2*j + 116 = 2*f, 552 - 250 = 5*j - f. Factor 2/9*v**4 + 1400/9*v + j*v**2 - 2000/9 + 58/9*v**3.
2*(v - 1)*(v + 10)**3/9
Factor 0 - 1/3*o**3 + 145/3*o - 48*o**2.
-o*(o - 1)*(o + 145)/3
Let z(j) be the second derivative of j**6/270 - 49*j**5/90 + 2089*j**4/108 + 2548*j**3/9 + 1352*j**2 - 1277*j. Solve z(p) = 0 for p.
-3, 52
Suppose 0 = -2*z + 10, -4 = -3*t + 2*z - 5. Factor r**2 + t*r + 115*r**3 - 116*r**3 + r**2.
-r*(r - 3)*(r + 1)
Let p = -170376 - -170378. Suppose 4/7*q**p - 4/7*q**4 + 2/7*q**5 - 2/7*q + 0*q**3 + 0 = 0. Calculate q.
-1, 0, 1
Let i(g) = 90*g**3 + 145*g**2 - 860*g + 365. Let p(k) = -5*k**3 + 2*k**2 + 1. Let s(x) = i(x) + 20*p(x). Factor s(u).
-5*(u - 11)*(u - 7)*(2*u - 1)
Let i(f) = -16*f**2 + 2754*f - 1887870. Let m(n) = -5*n**2 + 2*n + 2. Let b(v) = i(v) - 3*m(v). What is d in b(d) = 0?
1374
Let a(n) be the first derivative of -1/14*n**4 + 6/7*n - 70 - 2/7*n**3 + 1/7*n**2. Solve a(q) = 0 for q.
-3, -1, 1
Factor -1/6*l**3 - 3/2*l**2 + 0 + 26/3*l.
-l*(l - 4)*(l + 13)/6
Let i be (-42)/12*(-6)/7. Suppose 5*a - 6*a = -i. Suppose -7*b**5 + 2*b - 8*b**5 + b**a + 3*b**2 - 3*b**4 - 2*b**3 + 14*b**5 = 0. What is b?
-2, -1, 0, 1
Let f(l) = l**2 - 18*l + 20. Suppose 137 = 14*p - 101. Let s be f(p). Factor 3*c**4 + 3*c**5 - 3*c**2 - 6*c**3 + 3*c**s + 0*c**5.
3*c**2*(c - 1)*(c + 1)**2
Let y(f) be the second derivative of 13/24*f**3 + 1/16*f**4 - 5/4*f**2 + 2*f - 1/120*f**6 - 13 - 1/16*f**5. Solve y(h) = 0.
-5, -2, 1
Suppose -4*n - 3*b - 22 = 0, -2*n - 30*b + 33*b = -34. Factor 28/9*h + 0 + 4/9*h**n.
4*h*(h + 7)/9
Solve 2/3*y**4 - 238*y**2 + 136/3*y**3 + 1160/3*y - 584/3 = 0 for y.
-73, 1, 2
Determine f, given that 61/5*f**2 - 676/5 + 191/5*f**3 