= 0. Calculate w.
0, 33
Let 165/8*m**3 + 3/8*m**4 + 132*m**2 + 216 + 585/2*m = 0. What is m?
-48, -3, -2
Suppose -9/2 + 3/8*s**5 - 3*s + 9/8*s**3 + 39/8*s**2 - 15/8*s**4 = 0. What is s?
-1, 2, 3
Let w = -331 - 395. Let n = 729 + w. Solve 10/7*y**2 - 2/7*y**n + 0*y + 0 = 0 for y.
0, 5
Let b(a) be the first derivative of -a**4/42 - 1264*a**3/63 - 99221*a**2/21 + 401956*a/21 + 645. Factor b(s).
-2*(s - 2)*(s + 317)**2/21
Factor -69/2*a**2 + 10*a**3 - 45*a + 0 - 1/2*a**4.
-a*(a - 15)*(a - 6)*(a + 1)/2
Let x(v) = 287*v + 579. Let h be x(-2). Let b(l) be the first derivative of 0*l + 2/55*l**h + 5 - 3/22*l**4 + 4/33*l**3 + 0*l**2. Factor b(f).
2*f**2*(f - 2)*(f - 1)/11
Let a(n) be the second derivative of -n**6/24 + 7*n**5/12 - 5*n**4/4 + 7*n**2 + n + 8. Let z(o) be the first derivative of a(o). Factor z(p).
-5*p*(p - 6)*(p - 1)
Let 146*m**3 + 0 + 289/2*m**4 - 1/2*m**5 - 290*m**2 + 0*m = 0. What is m?
-2, 0, 1, 290
Let k be 7/(-3) + 2 - (-2240)/2940. Factor -3/7*b**2 + 0*b - 3/7*b**3 + k*b**4 + 0 + 3/7*b**5.
3*b**2*(b - 1)*(b + 1)**2/7
Let -10/11 + 10/11*a**2 + 2/11*a**3 - 2/11*a = 0. What is a?
-5, -1, 1
Let j(r) be the second derivative of -2*r + 1/6*r**4 + 40/3*r**3 + 400*r**2 + 0. Factor j(z).
2*(z + 20)**2
Let a(s) be the first derivative of -1/5*s**2 + 3/10*s**4 + 2/15*s**3 - 198 + 0*s + 2/15*s**6 - 2/5*s**5. Factor a(t).
2*t*(t - 1)**3*(2*t + 1)/5
Let r(s) be the second derivative of -2*s**6/135 + s**5/30 + s**4/54 - s**3/9 + s**2/9 + s + 224. Find z such that r(z) = 0.
-1, 1/2, 1
Let g(v) = v**3 + 10*v**2 + 11*v + 11. Let w be g(-9). Let z = w + 10. Find f such that -3*f**3 - 9*f + 12*f**3 + 6*f**4 + z*f - 9*f**2 = 0.
-2, -1/2, 0, 1
What is f in -17*f**2 + 33146928 - 24*f**2 + 8981*f + 5274*f + 5689*f + 44*f**2 = 0?
-3324
Let f(b) be the third derivative of 0 - 1/8*b**4 + 0*b + 0*b**3 - 1/40*b**6 + 1/10*b**5 - 20*b**2. Factor f(u).
-3*u*(u - 1)**2
Let r(t) be the second derivative of -12/7*t**2 + 1/70*t**5 - 247*t + 0 - 25/21*t**3 + 1/105*t**6 - 13/42*t**4. Solve r(u) = 0.
-3, -1, 4
Let v be (-34 - -35)/(-1 + 0). Let w be v + (2/3)/(128/240). Suppose -5/4*f - w*f**2 - 3/2 = 0. What is f?
-3, -2
Let m = -473 + 469. Let b be ((-10)/m)/5 + 24/(-240). Factor 0 + 1/5*v**2 - b*v**3 + 0*v + 1/5*v**4.
v**2*(v - 1)**2/5
Suppose -7*n + 4*n = 4*m - 32, 2*n - 3*m + 7 = 0. Suppose 15*j**5 - 11*j**5 + 19*j**4 - 27*j**4 + n*j**3 = 0. What is j?
0, 1
Suppose -92 = m - 94. Suppose 0 = 4*z - 2*h - 4 - 4, 0 = 4*z - 5*h - 2. Factor -5*r**4 + 0*r**m + 16*r**3 + 14*r**z - 45*r**2.
-5*r**2*(r - 3)**2
Factor 39*a**3 - 20*a**3 - 27*a**2 - 20*a**3 - 124*a - 19*a**2 - 48 + 219*a.
-(a - 1)**2*(a + 48)
Let x(f) = -21*f**2 + 31*f - 10. Let d(g) = 4*g**2 - 6*g + 2. Let v = 36 - 34. Let a be 1/(1/v + 0). Let y(h) = a*x(h) + 11*d(h). Let y(s) = 0. What is s?
1
Let y be 9/6*2*4/6. Suppose x + 5 = 3*b, 5*b - 24 = -3*x + b. Determine o, given that 2/7*o**y + 0 + 4/7*o**3 + 2/7*o**x + 0*o = 0.
-1, 0
Let z(n) be the second derivative of -n**4/32 + 29*n**3/8 + 2277*n**2/16 - 1377*n + 1. Factor z(y).
-3*(y - 69)*(y + 11)/8
Let z = -17746 + 17758. Factor z - 2*w - 2/3*w**2.
-2*(w - 3)*(w + 6)/3
Let b(w) = -9*w**2 + 4649*w + 4714. Let z(u) = -26*u**2 + 13946*u + 14126. Let a(x) = -11*b(x) + 4*z(x). Factor a(r).
-5*(r - 930)*(r + 1)
Factor -2*j**2 - 58*j - 32*j - 10*j + 550.
-2*(j - 5)*(j + 55)
Let z(d) be the third derivative of 0*d**3 - 3*d - 2*d**2 + 0 - 2/15*d**7 - 1/5*d**5 + 0*d**4 + 5/12*d**6. Solve z(g) = 0.
0, 2/7, 3/2
Let k(w) be the second derivative of -5/2*w**2 + 0 - 5/2*w**3 - 5/4*w**4 - 1/4*w**5 + 62*w. Factor k(o).
-5*(o + 1)**3
Let b be (-162)/378 + (-34)/(-14). Solve -180*d**b + 189/2*d - 12 - 24*d**3 = 0 for d.
-8, 1/4
Suppose -4*m - 32 = 4*c, -4*m - 35 = -c + 6*c. Let g = 15 - m. Suppose g*n**3 - 21*n**2 - 4*n - 6*n + 16*n**2 + 15*n**4 = 0. Calculate n.
-1, 0, 2/3
Let t(l) be the second derivative of l**5/120 - 77*l**4/72 - l**3/36 + 77*l**2/12 - 5795*l. Let t(z) = 0. What is z?
-1, 1, 77
Let b = -43 - -46. Let n(d) = -1 - 65*d**3 - 3*d + 4*d + 66*d**b. Let x(q) = 6*q**3 - 10*q + 8. Let p(y) = 4*n(y) - x(y). Find u, given that p(u) = 0.
-3, 1, 2
Let l(w) be the second derivative of 2*w**7/7 - 617*w**6/70 + 876*w**5/35 - 557*w**4/28 - 31*w**3/7 + 60*w**2/7 + 1286*w + 2. Solve l(f) = 0.
-1/4, 2/7, 1, 20
Factor 112*g**2 + 206*g**2 + 7*g**3 + 0*g**3 - 142*g + 196*g**2 - 19*g**2.
g*(g + 71)*(7*g - 2)
Suppose p - 6 = -2*p. Let m be (-7)/(-9) + p/9 + 1. Factor -12*h**3 + 7 - 6*h**m + 1 + 14*h**3.
2*(h - 2)**2*(h + 1)
Let v = -203/183 + 1361/732. Suppose 9/2*w**2 - 3*w**4 + v*w**5 + 0*w + 0 + 3/4*w**3 = 0. Calculate w.
-1, 0, 2, 3
Let j(h) be the third derivative of h**5/150 - 13*h**4/2 + 2535*h**3 + 67*h**2 - 2*h - 13. Solve j(a) = 0 for a.
195
Suppose -29*w + 9 + 11 = -38. Find m, given that -14/13 - 16/13*m - 2/13*m**w = 0.
-7, -1
Solve -381/7*j**3 + 24/7 - 9/7*j**5 - 26*j + 137/7*j**4 + 411/7*j**2 = 0.
2/9, 1, 12
Let t be -11 + (-30)/(-2) - 1. Let g(z) be the third derivative of 0*z - 1/735*z**7 + 0*z**3 - 1/70*z**5 + 0 + 1/84*z**4 + t*z**2 + 1/140*z**6. Factor g(f).
-2*f*(f - 1)**3/7
Let m(y) be the second derivative of 75*y**3 + 0 - 625/3*y**2 + 38*y + 1/30*y**5 - 17/6*y**4. Suppose m(z) = 0. Calculate z.
1, 25
Let b(o) = 4758*o**2 + 153*o + 7. Let v(h) = -14275*h**2 - 454*h - 19. Let y(j) = 8*b(j) + 3*v(j). Factor y(t).
-(69*t + 1)**2
Let c(v) = -13*v**2 + 25*v + 189. Suppose -34 = 46*h + 150. Let b(t) = 7*t**2 - 13*t - 96. Let a(o) = h*c(o) - 7*b(o). Factor a(k).
3*(k - 7)*(k + 4)
Let x be 286/44*(13 - 9). Let b(l) be the third derivative of -1/120*l**6 - 1/24*l**4 + 0*l**3 + x*l**2 + 0 + 1/30*l**5 + 0*l. Factor b(z).
-z*(z - 1)**2
Let k(t) = -t**4 - 11*t**2 - 3. Let n(q) = 1695*q**4 + 8645*q**3 + 12955*q**2 + 4500*q + 15. Let g(r) = -5*k(r) - n(r). Factor g(l).
-5*l*(2*l + 1)*(13*l + 30)**2
Solve -k**2 + 7*k**2 - 400 - 3*k**2 + 3*k**2 - 10*k**2 - 100*k = 0.
-20, -5
Suppose 59*z = 8 + 67 + 43. Factor 80/7*d + 4*d**3 - 16/7 - 92/7*d**z.
4*(d - 2)*(d - 1)*(7*d - 2)/7
Let l(b) = b**3 - 55*b**2 + 341*b - 227. Let t be l(48). Let o(u) be the third derivative of 0*u - t*u**2 + 0*u**3 - 1/15*u**5 + 1/2*u**4 + 0. Factor o(j).
-4*j*(j - 3)
Let b(r) be the second derivative of -1/25*r**5 - 4/5*r**3 + 18*r + 0*r**2 + 0 + 7/15*r**4. Factor b(z).
-4*z*(z - 6)*(z - 1)/5
Let a(j) = -j**3 + 5*j**2 + 14*j + 2. Let h be a(-2). Let c(y) be the first derivative of 4*y - 8/5*y**h + 10 - 4/15*y**3. Find l, given that c(l) = 0.
-5, 1
Solve 58*a**2 + 304*a**2 + 323*a**2 - 15*a**3 - 574*a - 10*a**3 + 304*a = 0.
0, 2/5, 27
Let z be (-4 - 3)*(-2 + 12/21). Factor 5*d + 5*d + 9 + 15*d**2 - z*d**2 - 4*d**2.
(d + 1)*(d + 9)
Let k = 3/1549 - -13935/3098. Let y(w) be the first derivative of -3 - 6*w - 3/4*w**4 + 0*w**3 + k*w**2. Factor y(s).
-3*(s - 1)**2*(s + 2)
Let s(p) be the first derivative of -5*p**6/6 + 32*p**5 + 455*p**4 - 67600*p**3/3 - 4479. Factor s(w).
-5*w**2*(w - 26)**2*(w + 20)
Suppose 2059 = 390*j + 109. Let y**4 + 16/3*y**3 - 2/3*y**j + 5*y**2 + 0 + 4/3*y = 0. What is y?
-1, -1/2, 0, 4
Let p(h) = h**3 + 9*h**2 - 7*h + 35. Let a be p(-10). Let c be a - -52*(-8)/96. Find w, given that -c*w + 1/3*w**2 + 1/3*w**3 + 0 = 0.
-2, 0, 1
Let k(a) be the first derivative of a**6/16 - 51*a**5/20 - 15*a**4/32 + 85*a**3/4 + 3*a**2/4 - 51*a - 2334. Suppose k(g) = 0. Calculate g.
-2, -1, 1, 2, 34
Let t(i) = -27*i**3 + 26*i**3 - 9 - 10*i**2 + i - 15*i + 4*i. Let a be t(-9). Solve 96*w**2 - 128*w**2 + a + 16*w - 20*w**3 + 0 = 0 for w.
-2, 0, 2/5
Let t(u) be the second derivative of 7/15*u**6 - 13/10*u**5 + 5/21*u**7 + 4*u**2 - 11/6*u**4 + 0 - 12*u + 8/3*u**3. Determine p, given that t(p) = 0.
-2, -1, -2/5, 1
Let w(b) = -4*b**2 + 482*b - 1178. Let z be w(118). Let r(o) be the first derivative of -4/7*o**3 - 16/7*o + 5/7*o**4 - 36 - 24/7*o**z. Factor r(p).
4*(p - 2)*(p + 1)*(5*p + 2)/7
Let d be (-784)/(-175) - (-176)/(-2200). What is l in d*l**4 + 3/5*l**5 + 0 - 44/5*l**3 + 9/5*l + 2*l**2 = 0?
-9, -1/3, 0, 1
Let o(h) be the third derivative of h**8/84 - 2*h**7/15 + 2*h**6/5 + 691*h**2 + h + 1. Determine g, given that o(g) = 0.
0, 3, 4
What is m in 805/8*m - 1/8*m**2 - 201/2 = 0?
1, 804
Let j(i) be the first derivative of -i**4/2 + i + 2. Let y(t) = -45*t**3 + 250*t**2 + 25. Let c(a) = -25*j(a) + 