 0.
-1, 0, 4
Let w(t) be the second derivative of 5*t**7/399 - 51*t**6/95 + 1433*t**5/190 - 1209*t**4/38 - 1690*t**3/57 + 5*t + 32. Let w(b) = 0. What is b?
-2/5, 0, 5, 13
Suppose 14*f - 19*f + 765 = 0. Let b be 3 - (8 + (-783)/f). Suppose b*l**5 - 8/17*l**2 + 16/17*l + 0 - 12/17*l**3 + 2/17*l**4 = 0. What is l?
-2, 0, 1, 2
Let g(i) be the second derivative of -1/2*i**6 + 5/4*i**4 + 35*i - 5/3*i**3 + 0 + 0*i**2 + 1/4*i**5 + 5/42*i**7. Factor g(s).
5*s*(s - 2)*(s - 1)**2*(s + 1)
Factor -640/9 + 2/9*b**3 + 166/9*b**2 + 472/9*b.
2*(b - 1)*(b + 4)*(b + 80)/9
Let m(w) be the first derivative of w**4/2 + 814*w**3/3 + 41208*w**2 - 83232*w + 1393. Solve m(s) = 0.
-204, 1
Suppose -2*j - 4 = 2*c, -2 = -4*c - 16*j + 17*j. Let -6/7*p + 15/7*p**3 - 9/7*p**2 + c = 0. What is p?
-2/5, 0, 1
Let t be (-1068)/(-360) - 54/180. Factor -2*h + t*h**2 - 2/3.
2*(h - 1)*(4*h + 1)/3
Suppose y = -0*y - 159. Let b = y + 162. Factor 15/4*z + 9/4 + 1/4*z**b + 7/4*z**2.
(z + 1)*(z + 3)**2/4
Let 1/2*a**2 - 13 + 11/2*a = 0. Calculate a.
-13, 2
Suppose -372 + 863 + 549 = 208*c. Find q such that c + 73/6*q - 1/2*q**3 + 20/3*q**2 = 0.
-1, -2/3, 15
What is i in -348 + 5047*i**4 - 5*i**3 - 122*i**2 - 876*i + 36*i**3 + 5*i**3 - 5045*i**4 - 372 = 0?
-20, -3, -1, 6
Suppose -3*k - y = -32, -3*k + 307*y = 309*y - 49. Factor -4/3*u**4 + 0*u**2 + 2*u**k - 2/3*u**3 + 0 + 0*u.
2*u**3*(u - 1)*(3*u + 1)/3
Let l = -448 + 481. Let n = 2 + 0. Find a such that -n*a + 2 - 15*a - 8*a + 8*a + l*a**2 = 0.
2/11, 1/3
Let x be 0/(-3) - (-2*4)/(-4). Let h be (-1)/x - (-54)/12. Solve -11*u**2 - 3*u**4 + h*u**2 - 12*u - 18*u**2 - 15*u**3 = 0 for u.
-2, -1, 0
Solve -748/5*i + 1/5*i**2 + 747/5 = 0 for i.
1, 747
Let x = -1158 - -1161. Factor -2/3*w**x + 6 - 2*w - 10/3*w**2.
-2*(w - 1)*(w + 3)**2/3
Let d(z) = 5*z**2 + 2*z - 7. Suppose 2*r - 2 = 2. Let k(b) = -7*b**r - 8 + 3*b**2 - 2*b**2 + 3*b + 11*b**2. Let x(f) = -3*d(f) + 2*k(f). Factor x(m).
-5*(m - 1)*(m + 1)
Suppose -2*g + 146 = -68. Solve -2*v**2 + g*v**3 - 102*v**3 - v**4 + 0*v**2 - 4*v**2 = 0.
0, 2, 3
Factor -25*d**4 + 230 + 403*d**2 + 52*d**2 + 21*d**4 + 111*d**3 + 3*d**4 + 573*d.
-(d - 115)*(d + 1)**2*(d + 2)
Let b(q) be the third derivative of q**5/30 + 71*q**4/12 + 46*q**3 - 94*q**2 + q. Factor b(c).
2*(c + 2)*(c + 69)
Let v(q) = -q**2 + 12*q + 47. Let d be v(15). Let h(j) = 24*j**2 + 3*j + 53. Let i(x) = 2*x**2 - x + 3. Let a(b) = d*h(b) - 22*i(b). What is w in a(w) = 0?
-5, -2
Let y = -65703/380 - -62/95. Let q = -172 - y. Factor -16 - 4*a - q*a**2.
-(a + 8)**2/4
Determine v so that 64/3 - 4/9*v**2 - 2/9*v**3 + 64/9*v = 0.
-4, 6
Suppose 480 + 9/2*b**4 + 447*b**3 + 1662*b**2 - 27/4*b**5 + 1632*b = 0. Calculate b.
-4, -2/3, 10
Let m = 35 + -17. Suppose 0 = m*f - 24*f + 18. Factor 13*j**3 + f*j**3 + 315*j - 291*j + 100*j**2.
4*j*(j + 6)*(4*j + 1)
Suppose -4/5*i**4 + 96/5*i**3 + 336/5 - 16/5*i - 252/5*i**2 = 0. Calculate i.
-1, 2, 21
Let p(v) be the third derivative of -v**6/120 - 9*v**5/20 - 9*v**4/8 + 7*v**3/3 - 10*v**2. Let s be p(-26). Factor -13*r - 21*r - 3*r**2 + s*r.
-3*r*(r - 2)
Suppose -y = -3*l - 8, -3*l - 13 = 2*y - 11. Let m(i) be the third derivative of -1/60*i**6 - 1/4*i**4 + 1/10*i**5 - 15*i**y + 0 + 1/3*i**3 + 0*i. Factor m(u).
-2*(u - 1)**3
Suppose 2560 = 3*c - p, -5*c = 7*p - 5*p - 4263. Find g, given that 4*g**2 + 1318*g - c*g + 8100 - 825*g = 0.
45
Let v(g) = -g**2 - 51*g - 406. Let z be v(-10). Suppose 2*i = 3*i - 23. Factor -8*k**2 + k**z - 12*k + 2*k**3 - 4*k**5 + 6*k**4 + 1 + i*k - 9*k.
-(k - 1)**3*(k + 1)*(4*k + 1)
Suppose 99*j = 95*j + 16. Suppose -48 = -q - 5*q. Factor -3*d**2 + d**2 - q*d**2 + 20*d**j + 25*d - 10 - 5*d**5 - 20*d**3.
-5*(d - 2)*(d - 1)**3*(d + 1)
Suppose 5*a = 2*a + 6. Solve -10*s**2 + 0*s**a + s**2 + 5*s**2 - 15376 - 496*s + 0*s**2 = 0 for s.
-62
Let k(m) be the first derivative of -m**6/9 + 284*m**5/45 - 181*m**4/2 - 2588*m**3/27 + 544*m**2/3 + 256*m + 2404. Determine p, given that k(p) = 0.
-1, -2/3, 1, 24
Suppose -7*p = 5*w - 5*p - 14, 4*w = 4*p + 28. Let x be 3 + (-22)/(-6) - w. Determine k, given that -1/3*k**4 + 4/3*k - x - 1/3*k**3 + 2*k**2 = 0.
-2, 1, 2
Let z(i) be the third derivative of -i**6/120 - 35*i**5/2 - 30625*i**4/2 - 21437500*i**3/3 + 848*i**2. Factor z(s).
-(s + 350)**3
Let v be 7*5/(-14)*(-48)/20. Find f such that 58*f**3 - 11*f - 2*f - 14*f + 6*f**4 - v + 7*f - 38*f**3 = 0.
-3, -1, -1/3, 1
Suppose -2*h + 0 = -4. Suppose 2*l - h*y - 16 = -y, -3*l + 24 = 3*y. Factor -l*p**3 + 28 - 8 - 15*p**2 + 3*p**3.
-5*(p - 1)*(p + 2)**2
Let b(t) be the third derivative of -1/120*t**6 + 0 + 0*t**3 + 0*t**4 + 0*t**5 - 1/420*t**7 - 2*t + 52*t**2. Solve b(w) = 0.
-2, 0
Let c(o) = -o**3 + 6*o**2 - 7*o + 12. Let y be c(5). Factor -y*a**2 - 11*a - 44 + 38*a + 6*a + 28.
-(a - 16)*(2*a - 1)
Let m be (-1)/(-12) + 234/351. Let v(d) be the first derivative of -d**3 + 0*d + m*d**4 - 9 + 3/5*d**5 - 3/2*d**2. Let v(p) = 0. What is p?
-1, 0, 1
Let j(m) = -4*m**4 - 11 - 156*m**3 + 152*m**3 - 8*m - 28*m**2 - 31*m. Let k(i) = -i**4 - i**3 - 9*i**2 - 13*i - 4. Let a(w) = -2*j(w) + 7*k(w). Factor a(y).
(y - 3)*(y + 1)**2*(y + 2)
Let g(y) be the second derivative of -y**5/18 - y**4/54 + y - 44. Find u such that g(u) = 0.
-1/5, 0
Let c(r) be the second derivative of 0*r**4 - 1/330*r**5 + 20*r + 5/3*r**3 + 0 + 0*r**2 - 1/3960*r**6. Let z(a) be the second derivative of c(a). Factor z(l).
-l*(l + 4)/11
Let k(o) be the third derivative of -1/630*o**7 + 0*o - 2/45*o**5 + 1/72*o**6 + 1/18*o**4 - 3 - 6*o**2 + 0*o**3. Solve k(n) = 0.
0, 1, 2
Let q(t) = t**2 - 13*t - 26. Let s(b) = -2*b**2 - 13*b + 9. Let d be s(-6). Let p be q(d). What is y in 14*y - 12*y - 6*y + 10*y**2 - p*y**3 = 0?
0, 1/2, 2
Let h be ((-35)/(-3) - 7) + 2 + -2. Let a(g) be the first derivative of -5/2*g**4 + 8*g + 8*g**2 - h*g**3 - 19. Factor a(f).
-2*(f - 1)*(f + 2)*(5*f + 2)
Factor 71*n + 1 - 21*n + 2*n**2 + 3 - 26*n - 30*n.
2*(n - 2)*(n - 1)
Suppose -3*f + 14 = 4*p + 15, -5*f - 25 = -5*p. Factor 2/3*j**3 + 0*j - 4/3*j**p + 0.
2*j**2*(j - 2)/3
Suppose -15*s = 4*f - 14*s - 307, -3*s - 143 = -2*f. Let p be ((-11)/(f - -1))/(18/(-14)). Suppose p*h**2 - 4/9*h + 1/3 = 0. What is h?
1, 3
Let z be ((-12)/33)/((-259)/9768*12). Factor z*t - 8/7*t**3 - 4/7 + 0*t**2 + 4/7*t**4.
4*(t - 1)**3*(t + 1)/7
Let g(u) be the first derivative of u**5 - 180*u**4 - 980*u**3 - 1480*u**2 + 2740. Factor g(n).
5*n*(n - 148)*(n + 2)**2
Factor -2646 + 63*x - 3/8*x**2.
-3*(x - 84)**2/8
Let b(h) be the third derivative of h**6/720 - 7*h**5/90 - 31*h**4/144 + 29*h**3/18 + 184*h**2 + 2*h - 3. Factor b(s).
(s - 29)*(s - 1)*(s + 2)/6
Suppose -3*m - 107 = 5*l, 17*m + 162 = 13*m + 3*l. Let n be (-5 + (-221)/m)*(2 + 1). Factor -1/7*w**n + 5/7 - 4/7*w.
-(w - 1)*(w + 5)/7
Suppose 5 = 4*r - 3. Let v be (-4 - -2)*(-16)/16. Solve -8 + 1073*b**v - 4*b**3 - 1073*b**r + 12*b = 0.
-2, 1
Let t(d) be the second derivative of -1/10*d**3 - 1/5*d**2 + 0 - 3/100*d**5 + 22*d + 2/15*d**4. Suppose t(y) = 0. What is y?
-1/3, 1, 2
Suppose -57*z - 33*z + 270 = 0. Let b be (11 + 190/(-20))*z. Factor -b*n**2 + 0 - 3/2*n.
-3*n*(3*n + 1)/2
Let s(j) be the first derivative of 2/3*j**3 - 48*j - 10*j**2 + 247. Determine l so that s(l) = 0.
-2, 12
Find k, given that -50 - 410*k**3 - 216*k**2 + 403*k - 32 - 8 + 105*k**4 + 201*k**4 + 7*k**5 = 0.
-45, -1, 2/7, 1
Suppose -13*h + 348 - 114 = 0. Let o be 200/90 + (-4)/h. Factor 1/8*f - 3/4 + 1/8*f**o.
(f - 2)*(f + 3)/8
Let m(k) be the third derivative of -1/1008*k**8 + 0 + 1/45*k**6 - k**2 - 7/72*k**4 + 2/9*k**3 - 1/90*k**5 - 1/315*k**7 + 17*k. What is c in m(c) = 0?
-4, -1, 1
Suppose -v = x - 6, 68*x - 71*x + 16 = 2*v. Factor 12/17*f**3 + 2/17*f**x + 6/17*f**2 + 0 - 20/17*f.
2*f*(f - 1)*(f + 2)*(f + 5)/17
Let n be (38/(-57))/(35/(-63)). Determine s, given that -8/5*s - n - 2/5*s**2 = 0.
-3, -1
Let w(h) be the first derivative of 3*h**4/20 - 19*h**3/5 - 33*h**2/5 + 24*h - 1251. Factor w(q).
3*(q - 20)*(q - 1)*(q + 2)/5
Let f = -12900 - -12902. Let u(m) be the second derivative of 0*m**f - 1/11*m**3 + 0 - 20*m - 1/110*m**5 + 2/33*m**4. Factor u(w).
-2*w*(w - 3)*(w - 1)/11
Let u = -260 - -267. Factor -t**4 - u*t**2 + 0*t**2 + 2*t**2 + 6*t**4.
5*t**2*(t - 1)*(t + 1)
Suppose -4*b - 8 = -4*a, 0 + 6 = 3*a + 4*b. Let h be ((-7)/(-21))/(a/18). Find z, given that -4*z**5 + 251*z**h 