n = 4*o - 92. Suppose 4*b + 3*f = n + 12, -3*f = b - 16. Suppose -8 - 5*r + 4*r**b + 4*r**2 + 12*r**3 + r - 8*r = 0. What is r?
-2, -1, 1
Let w(m) be the third derivative of m**6/90 + 19*m**5/60 + 73*m**4/36 + 11*m**3/6 + 14*m**2 - 328*m. Factor w(f).
(f + 3)*(f + 11)*(4*f + 1)/3
Let c(n) be the first derivative of -5/2*n**2 + 59 + 1/9*n**3 + 0*n. Factor c(m).
m*(m - 15)/3
Let o be 3 + (-1 - -6) + (-5)/1. Solve 10*t**3 + 2*t**2 - 2*t**4 - 8*t**3 + 0*t**o - 2*t = 0.
-1, 0, 1
Let o be 12*(-50)/(-210)*(-49)/(-245). Suppose -2/7*l**5 + 2/7*l + 0 + 4/7*l**2 - o*l**4 + 0*l**3 = 0. Calculate l.
-1, 0, 1
Let o be (2 + -11)/(-27)*1422. Let w = o - 5212/11. Solve 0 + 8/11*m + w*m**2 = 0.
-4, 0
Let w = 40737 + -40734. Factor -3/4*r**w + 15/2 - 9/2*r**2 - 9/4*r.
-3*(r - 1)*(r + 2)*(r + 5)/4
Solve 2*t**5 - 24*t**3 - 109/2*t**2 + 15/2*t**4 + 15*t + 0 = 0.
-5, -2, 0, 1/4, 3
Suppose 38*t + 161 - 275 = 0. Let p(x) be the first derivative of 0*x - 1/6*x**4 - 20 - 7/6*x**t - 5/12*x**2. Factor p(s).
-s*(s + 5)*(4*s + 1)/6
Let d(z) be the third derivative of -8/3*z**3 - 23 + 1/15*z**7 + 0*z + 5/6*z**4 + 2/3*z**6 + 2*z**2 + 17/10*z**5. Solve d(g) = 0 for g.
-4, -1, 2/7
Let u(h) be the third derivative of h**6/30 - 248*h**5/15 + 493*h**4/6 - 164*h**3 + 472*h**2 - 7*h. Factor u(r).
4*(r - 246)*(r - 1)**2
Let u(b) = -29*b**2 + 25*b - 2. Let r(h) be the first derivative of -h**2/2 - 2*h + 40. Let n(g) = 2*r(g) - u(g). Factor n(a).
(a - 1)*(29*a + 2)
Let m(h) be the second derivative of 3/2*h**2 + 0 - 4/3*h**3 + 1/5*h**5 + 13*h + 5/6*h**4. Let w(x) be the first derivative of m(x). Factor w(i).
4*(i + 2)*(3*i - 1)
Factor 910*c - 335*c**2 + 704*c + 1673*c - 1297*c + 120.
-5*(c - 6)*(67*c + 4)
Let z = -149727 + 149727. Factor -24/5*g + z*g**2 + 0 + 6/5*g**3.
6*g*(g - 2)*(g + 2)/5
Let v(i) be the second derivative of -5*i**7/42 + 4*i**6/3 - 7*i**5/4 - 30*i**4 + 120*i**3 + i - 21. Solve v(q) = 0.
-3, 0, 3, 4
Let x(z) be the first derivative of 0*z**2 + 5*z - 54 - 5/3*z**3. Factor x(n).
-5*(n - 1)*(n + 1)
Let r(a) be the third derivative of 0*a + 0*a**3 + 54*a**2 - 1/120*a**6 - 3/4*a**4 - 3 - 3/20*a**5. Factor r(w).
-w*(w + 3)*(w + 6)
Suppose 0 = 23*z + 34 - 310. Factor s**3 + 11*s**2 + 72*s + 52 + 18*s**2 - 16*s - z*s**2.
(s + 2)**2*(s + 13)
Suppose 442368/7 - 2/7*z**4 - 284/7*z**3 - 27648*z - 13248/7*z**2 = 0. Calculate z.
-48, 2
Let m = 13/1364 + 41425/682. Let -6561/8 - m*j**2 - 9/2*j**3 - 1/8*j**4 - 729/2*j = 0. What is j?
-9
Let y(l) be the third derivative of 0*l**3 - 1/4*l**4 + 0*l - 1/70*l**7 + 0 + 1/20*l**5 + 1/20*l**6 + 10*l**2. Factor y(x).
-3*x*(x - 2)*(x - 1)*(x + 1)
Let p = 290/3 + -95. Let x be ((-1)/(-12*(-24)/60))/(1/(-4)). Factor x*o**4 + 0 + 5/3*o - p*o**3 - 5/6*o**2.
5*o*(o - 2)*(o - 1)*(o + 1)/6
Factor -30*x**2 - 19*x + 7*x**2 - x**3 - 9 - 27*x**2 + 39*x**2.
-(x + 1)**2*(x + 9)
Suppose -15 = -2*z - 5*c, 2 = 4*c - 10. Let l be (z*(-6)/48)/2. Factor l*w - 1/7*w**3 + 3/7*w**2 - 4/7.
-(w - 2)**2*(w + 1)/7
Let b(k) = 7*k**2 + 165*k + 3155. Let a(o) = 3*o**2 + 82*o + 1582. Let x(i) = -5*a(i) + 2*b(i). Suppose x(m) = 0. Calculate m.
-40
Let h = -1057 - -1060. Let i(z) be the first derivative of -4*z - 2*z**2 + 1/4*z**4 + 1/3*z**h + 8. Factor i(y).
(y - 2)*(y + 1)*(y + 2)
Suppose 2*z + 30 = 5*y, 5 + 2 = -2*y - 3*z. Suppose 2*j + 1 = -t + 9, y*t - 4*j = -4. Factor -2*u**2 + 6*u - u**2 - u**2 + 7*u**t.
3*u*(u + 2)
Let g = -529 + 132. Let y = g - -1192/3. Factor 0 - y*o**2 - 1/3*o.
-o*(o + 1)/3
Let w = 34097/3 + -11364. Determine l so that -4/3 - 1/3*l**2 + w*l = 0.
1, 4
Determine p, given that -1103*p**2 - 1341919727/3 + 1/3*p**3 + 1216609*p = 0.
1103
Suppose 37*p + 6*p + 89*p = -24*p. Suppose 0*u + 1/3*u**2 + p = 0. Calculate u.
0
Let x(o) = o**4 - 11*o**3 - o - 1. Let i(u) = -6*u**4 + 30*u**3 + 504*u**2 - 1179*u + 9. Let h(z) = i(z) + 9*x(z). Factor h(y).
3*y*(y - 11)*(y - 6)**2
Let c(h) = 7*h**3 + 396*h**2 - 748*h + 375. Let b(q) = 64*q**3 + 3568*q**2 - 6730*q + 3374. Let z(n) = 10*b(n) - 92*c(n). Factor z(g).
-4*(g - 1)**2*(g + 190)
Let k(r) be the second derivative of -1/90*r**4 + 0 + 1/225*r**6 + 0*r**2 + 16*r + 1/75*r**5 - 2/45*r**3. Factor k(m).
2*m*(m - 1)*(m + 1)*(m + 2)/15
Suppose 2*h + 24 = 4*i - 2*h, -3*i - 5*h = 14. Solve -1094*x + 1050*x - 4*x**i + 6*x**2 = 0 for x.
0, 22
Let o(r) be the second derivative of -1/20*r**6 + 2 + 14*r + 1/2*r**3 + 0*r**2 + 5/8*r**4 + 9/40*r**5 - 1/28*r**7. Find v, given that o(v) = 0.
-1, 0, 2
Find s such that 29*s**4 + 21*s**3 + 20035*s - 24*s**2 + 11*s**5 + 23*s**2 - 20039*s = 0.
-1, 0, 4/11
Let t be 1 + 4 - (-1140)/6. Factor 5 - t*r**2 + 2*r - 6*r + 97*r**2 + 97*r**2.
-(r - 1)*(r + 5)
Let 249*q + 1401*q + 149*q**2 + 188*q**2 - 75625 - 346*q**2 = 0. What is q?
275/3
Let a be ((1368/(-672))/(-57))/((-2)/(-14)). Let k(g) be the second derivative of a*g**2 + 0 + 0*g**3 - 1/24*g**4 + 3*g. Factor k(b).
-(b - 1)*(b + 1)/2
Let i be 5/20 - 3555/(-20). Factor i - 150*d - 305 + 35*d**2 + 167.
5*(d - 4)*(7*d - 2)
Let a(y) be the first derivative of 3*y**5/10 + 687*y**4/4 + 51981*y**3/2 - 79005*y**2 + 79350*y - 318. Suppose a(q) = 0. What is q?
-230, 1
Let m = 17/11 - 23/22. Let d(x) be the first derivative of -1/12*x**3 + m*x**2 - x - 9. Let d(c) = 0. What is c?
2
Determine m so that -114 - 8783*m**3 + 2 + 4*m**4 - 8781*m**3 - 75*m**2 - 208*m - 33*m**2 + 17556*m**3 = 0.
-2, -1, 7
Factor -11/9*n**3 - 8 + 20/3*n + 1/9*n**4 + 22/9*n**2.
(n - 6)**2*(n - 1)*(n + 2)/9
Let m(o) = -5*o**3 - 49*o**2 + 52*o + 84. Let i(a) = -a**3 - a**2 - 4. Let z(t) = -3*i(t) + m(t). Find f such that z(f) = 0.
-24, -1, 2
Let o be (-27)/18*(-21)/21. Solve 0*n + 30*n**2 - 24*n**3 + 0 + 3/2*n**5 + o*n**4 = 0 for n.
-5, 0, 2
Suppose -32 = -9*p + 7*p. Suppose 0*g - p = -8*g. Factor -72*v - 5*v**3 + g*v**3 - 48 + 183*v**2 - 210*v**2.
-3*(v + 1)*(v + 4)**2
Let h = 480/817 + 7404/4085. Factor 10*j + 88/5*j**2 - h.
2*(4*j + 3)*(11*j - 2)/5
Let m(h) be the second derivative of -h**4/24 - h**3/2 + 27*h**2/4 + 533*h. Factor m(z).
-(z - 3)*(z + 9)/2
Let o(y) = 8*y**2 + 6*y + 4. Let v be o(-1). Factor -50*f - 18 + v*f**2 + f**3 - 2*f**2 + 47*f.
(f - 2)*(f + 3)**2
Let s = -420/251 - -3268/753. Determine c so that 8/3*c**2 + 2/3*c**4 - s*c**3 + 0 + 0*c = 0.
0, 2
Solve -1155 - 3*o**5 + 25*o**4 + 195*o**3 + 576 + 164*o**4 - 192*o - 189*o**2 + 579 = 0.
-1, 0, 1, 64
Let d(i) be the second derivative of -i**7/280 - 7*i**6/120 - 3*i**5/20 - 19*i**3/2 + 44*i. Let p(n) be the second derivative of d(n). Factor p(w).
-3*w*(w + 1)*(w + 6)
Suppose -5*j + k + 51 = 0, -3*k + 0*k + 34 = 2*j. Solve 6*o**3 + 3*o**4 + j*o**5 - 1 - 10*o**5 - 3*o - 2*o**2 - 4*o**3 = 0 for o.
-1, 1
Let w(f) = -7*f + 4*f + 4*f + 2*f + 147. Let a be w(-48). Factor 0*k**2 + k - k**a + 1/2 - 1/2*k**4.
-(k - 1)*(k + 1)**3/2
Let k be (-29 - -2)/((-9)/15). Let z(p) be the first derivative of 13 - 405*p - 5/3*p**3 - k*p**2. Factor z(o).
-5*(o + 9)**2
Let n(l) be the first derivative of 3*l**4/4 - 440*l**3 + 72600*l**2 + 2881. Find z, given that n(z) = 0.
0, 220
Let s(v) be the second derivative of 2/3*v**2 - 2/3*v**3 + 1/126*v**7 - 1/60*v**5 + 11/36*v**4 - 9 - 3*v - 1/30*v**6. Let s(d) = 0. Calculate d.
-2, 1, 2
Let k(u) be the first derivative of -u**4/14 + 50*u**3/21 + u**2/7 - 50*u/7 - 968. Factor k(l).
-2*(l - 25)*(l - 1)*(l + 1)/7
Let s(r) be the third derivative of -r**5/60 + 59*r**4/24 + 42*r**3 - 6323*r**2. Solve s(h) = 0 for h.
-4, 63
Let z = 284 + -239. Factor 5 - 34*d - 25 + 99*d - z*d**2.
-5*(d - 1)*(9*d - 4)
Let v be 3 + (1/((-3)/(-4)) - 152/168). Let -26/7*u**3 + 92/7*u**2 - 144/7 - v*u + 2/7*u**4 = 0. What is u?
-1, 2, 6
Let j(u) be the second derivative of 5*u**7/42 + 20*u**6/3 + 144*u**5 + 4100*u**4/3 + 7000*u**3/3 - 60000*u**2 - 61*u + 26. Factor j(g).
5*(g - 2)*(g + 10)**3*(g + 12)
Let b(g) = -10*g**2 - 13*g. Let d(l) = 38*l**2 + 52*l + 3. Let z(u) = -22*b(u) - 6*d(u). Factor z(s).
-2*(s + 1)*(4*s + 9)
Factor -342/7*s**3 + 1032*s**2 + 3698/7*s + 4/7*s**4 + 0.
2*s*(s - 43)**2*(2*s + 1)/7
Let w(h) be the first derivative of h**3/3 + 48*h**2 + 95*h - 2367. Factor w(q).
(q + 1)*(q + 95)
Find g, given that 406*g**2 - 30986*g**3 + 440*g + 30*g**2 + 30982*g**3 = 0.
-1, 0, 110
Let q be (-11)/(6 + (-9)/3 - 2). Let g = -7 - q. Factor -4*n**g - 23*n**2 - 6*n**2 + 16*n + 20*n**3 - 3*n**2.
-4*n*(n - 2)**2