ve l(t) = 0 for t.
-4, 1, 2, 3
Let q(c) = -c**3 - c**2 + c + 1. Let k be q(-5). Factor -530*j + 3*j**4 + 867 + 83*j**2 - 26*j**2 - 1102*j + k*j**3 + 609*j**2.
3*(j - 1)**2*(j + 17)**2
Suppose 3*v + 5 = 3*y - 2*v, -30 = -4*y + 2*v. Suppose -5*j = y - 30. Suppose -22*c**4 - 6*c**2 + 24*c**j - 2*c + 2*c**3 + 4*c**2 = 0. What is c?
-1, 0, 1
Let g(c) = -c**3 + 14*c**2 + 17*c - 28. Let t = 11 + 4. Let f be g(t). Let -38*b + 3*b**3 + 3*b**4 + 0*b**3 + b**f + 38*b + b**5 = 0. Calculate b.
-1, 0
Suppose f + 13 = -d + 48, 0 = -5*d - 4*f + 176. Factor 16/7*z**2 + d + 2/7*z**3 - 150/7*z.
2*(z - 3)**2*(z + 14)/7
Find f, given that 448 - 704/3*f + 38/9*f**3 - 20/9*f**2 - 2/9*f**4 = 0.
-7, 2, 12
Factor 4/5*b**3 + 0 - 628/5*b**2 + 840*b.
4*b*(b - 150)*(b - 7)/5
Let i = -405 + 365. Let b be (4/(-10))/(20/i). Factor b*o**2 + 4/5*o - 24/5.
4*(o - 2)*(o + 3)/5
Let u be 3730/2238*(-6)/(-5). Find o, given that -72/7*o + 3/7*o**u + 18/7*o**3 + 3/7*o**4 + 48/7 = 0.
-4, 1
Let v(h) = -2995*h - 92845. Let k be v(-31). Find d, given that 0*d**2 + 2/3*d**3 + k - 2/3*d = 0.
-1, 0, 1
Let h be (((-30)/(-21))/5)/(5/35). Factor -5*k**2 - 2*k + k + 5*k**h + k**2.
k*(k - 1)
Let r be 4*((-6)/(576/(-488)) + -5). Let i(q) be the second derivative of -r*q**3 + 7*q + 0 + 0*q**2 + 1/6*q**4. Find n such that i(n) = 0.
0, 1
Let r = -1043806/9 + 115981. Factor r*o + 8/9 - 1/3*o**2.
-(o - 8)*(3*o + 1)/9
Let w be (-2)/(-45)*(162 + -150) - (4 - 42/9). Factor -w*v - 7/10*v**3 + 0 + 1/10*v**4 + 8/5*v**2.
v*(v - 3)*(v - 2)**2/10
Let w = 5576 - 5576. Let u(q) be the second derivative of w + 17*q - 1/90*q**4 + 2/15*q**2 + 1/45*q**3. Suppose u(c) = 0. Calculate c.
-1, 2
Factor -533*u - 417*u - 1177*u + 3*u**2 - 2481 - 247*u - 104*u.
3*(u - 827)*(u + 1)
Suppose 25 + 65 = 30*k. Suppose -67105 - 24*g**2 - 4*g**5 + 20*g + 67105 + 24*g**4 - 16*g**k = 0. Calculate g.
-1, 0, 1, 5
Let y(d) = -2*d**4 + 139*d**3 + 335*d**2 + 14*d - 7. Let u(i) = i**4 - 92*i**3 - 223*i**2 - 10*i + 5. Let m(o) = 7*u(o) + 5*y(o). Find k such that m(k) = 0.
-2, 0, 19
Factor -834/7*t + 3/7*t**2 + 57963/7.
3*(t - 139)**2/7
Let z(l) = l**2 - 3*l - 23. Let r be z(-6). Factor r*d**4 - 6*d**5 + 9*d**5 - 28*d**4.
3*d**4*(d + 1)
Let c be (32/4)/(-56) - (-635)/35. Let g be ((-104)/(-351))/(3/c). Solve 14/9 + 2/9*j**2 - g*j = 0 for j.
1, 7
Let o(d) be the first derivative of -1/4*d - 59/24*d**3 - 27/40*d**5 + 69/32*d**4 - 13 + 19/16*d**2. What is l in o(l) = 0?
2/9, 1/3, 1
Let n(b) be the second derivative of b**4/48 - 41*b**3/24 + 57*b**2/4 - 1658*b. Factor n(w).
(w - 38)*(w - 3)/4
Let p(n) be the first derivative of -2*n**5/35 + 41*n**4/14 - 78*n**3/7 + 115*n**2/7 - 76*n/7 - 8961. Factor p(o).
-2*(o - 38)*(o - 1)**3/7
Suppose 0 = 2*m, 8*b - 7*b - 4*m - 12 = 0. Let u be 2*(-10)/b*(-768)/1600. Determine r, given that 0*r**3 - 8/5*r**2 + 0 + u*r**5 + 8/5*r**4 - 4/5*r = 0.
-1, 0, 1
Let i(h) be the second derivative of 95*h**4/12 + 415*h**3/6 + 70*h**2 - 1995*h. Factor i(f).
5*(f + 4)*(19*f + 7)
Let x = -17/212 - -683/1908. Let d(t) be the second derivative of 25/36*t**4 + 13*t + x*t**3 + 0 - 1/12*t**5 - 25/6*t**2. Determine w so that d(w) = 0.
-1, 1, 5
Suppose -2*j - 2*j = -3*v - 14, 0 = -4*v - j - 44. Let k be v/(-8) - (-4 - 45/(-9)). Factor -1/4*b**3 + 0*b**2 + k*b + 0.
-b*(b - 1)*(b + 1)/4
Let -3/7*j**3 - 177/7*j**2 + 1593/7 + 27/7*j = 0. What is j?
-59, -3, 3
Let v = 2101/20 + -105. Let p(o) be the first derivative of 9 - 1/15*o**3 + 0*o - v*o**4 + 0*o**2. Factor p(i).
-i**2*(i + 1)/5
Let r(v) = v**3 - 8*v**2 + 15*v - 6. Let t be r(6). Suppose 27 - 24*g**2 - t*g - 2*g**4 - 12*g**3 - 8*g - 33 = 0. Calculate g.
-3, -1
Find j, given that 581/3 - 1741/6*j + 289/3*j**2 + 1/6*j**3 = 0.
-581, 1, 2
Suppose 545 - 545 = 56*a. Let g(h) be the third derivative of 1/330*h**6 + 1/132*h**4 + a + 8*h**2 - 1/2310*h**7 - 1/132*h**5 + 0*h + 0*h**3. Factor g(x).
-x*(x - 2)*(x - 1)**2/11
Suppose 4*d + 4*q - 39 - 57 = 0, -q + 82 = 3*d. Find a such that 711*a**3 + 5*a**4 - 6*a - d*a**2 + 76*a - 66*a**2 - 691*a**3 = 0.
-7, 0, 1, 2
Suppose 2*w + 2 + 18 = -t, 3*w = 5*t + 165. Let k be (-5)/t + (88/(-48))/11. Factor 4/5*r + 1/5*r**2 + k - 3/5*r**3.
-r*(r + 1)*(3*r - 4)/5
Let k(w) be the second derivative of 0 + 95*w + 19/3*w**3 - 361*w**2 - 1/24*w**4. Factor k(l).
-(l - 38)**2/2
Let o = -4051 + 4055. Let w(z) be the third derivative of 0*z + 1/15*z**3 + 1/30*z**o + 0 + 8*z**2 + 1/150*z**5. Factor w(x).
2*(x + 1)**2/5
What is a in -5*a + 116*a**2 + 70 + 149*a**2 - 266*a**2 + 2*a = 0?
-10, 7
Let w = 7374/125 + -21497/375. Factor -w*i**2 + 0 - 2*i + 1/3*i**4 + 2/3*i**3.
i*(i - 2)*(i + 1)*(i + 3)/3
Suppose c = -g, -9*g = -11*g + 2*c + 8. Let v(r) = -r - 19. Let f be v(-23). Factor -7/3*n**g + f - 17/3*n.
-(n + 3)*(7*n - 4)/3
Let t(h) = 3*h**3 - 8*h**2 + 4*h. Let q(a) = -6*a**2 + 4*a - 4. Let y(p) = 5*p**2 - 3*p + 3. Let c(l) = -4*q(l) - 5*y(l). Let w(d) = -c(d) + t(d). Factor w(x).
(x - 1)**2*(3*x - 1)
Let o(v) be the second derivative of -v**5/5 - 201*v**4 - 80802*v**3 - 16241202*v**2 - 1026*v. Find s, given that o(s) = 0.
-201
Let n(y) be the first derivative of 5*y**4/4 - 50*y**3 - 340*y**2 + 2768. Suppose n(x) = 0. Calculate x.
-4, 0, 34
Let i(a) be the second derivative of -a**4/6 + 672*a**3 - 1016064*a**2 - 2526*a. Let i(t) = 0. What is t?
1008
Let h(n) = n**3 - 2*n**2 + 65*n - 37. Let z be h(29). Factor -24671*u + u**2 + 4*u**2 - u**2 + z*u.
4*u*(u - 29)
Let x(m) be the first derivative of 7/9*m**2 + 8/3*m + 27 + 2/27*m**3. Factor x(o).
2*(o + 3)*(o + 4)/9
Let f(k) be the first derivative of 3/5*k**5 + 0*k**2 + 64 + 6*k**3 - 15/4*k**4 + 0*k. Factor f(l).
3*l**2*(l - 3)*(l - 2)
Let d(q) be the third derivative of -q**5/30 - 13*q**4/3 - 451*q**3/3 - 2*q**2 - 842. Find k such that d(k) = 0.
-41, -11
Let c(b) = -5*b**3 + 86*b**2 + 5*b - 92. Let j(a) = -30*a**3 + 515*a**2 + 30*a - 550. Let v(o) = -35*c(o) + 6*j(o). Factor v(g).
-5*(g - 16)*(g - 1)*(g + 1)
Let h(c) be the first derivative of 3*c**5/40 + 69*c**4/32 - 33*c**3/2 + 165*c**2/4 - 42*c - 2127. Find g, given that h(g) = 0.
-28, 1, 2
Let a(w) = -2*w**2 - 166*w + 1072. Let b be a(6). Suppose -2*x**3 + 2*x - 8/7 + 12/7*x**2 - 4/7*x**b = 0. Calculate x.
-4, -1, 1/2, 1
Let i(g) = 3*g - 1. Let n be i(1). Suppose 2 = n*o - 5*a - 2, a - 6 = -3*o. Factor -2*x**2 + 10*x**o - 4*x**2 + 8*x.
4*x*(x + 2)
Let r(b) = b**3 - 18*b**2 - 25*b + 118. Let d be r(19). Let i(p) be the second derivative of 0*p**2 + 1/4*p**3 - 1/24*p**d + 0 + 11*p. Factor i(z).
-z*(z - 3)/2
Let a(b) = -b**2 - 33*b - 5. Let x be a(-32). Factor -25 + 36 + 6*d**2 - x - 20*d.
2*(d - 4)*(3*d + 2)
Suppose 152 - 467 = -96*a - 9*a. Determine b so that -48/5*b**2 + 4/5*b - 4/5*b**a + 48/5 = 0.
-12, -1, 1
Let o(l) be the third derivative of -1/3*l**4 + 2/3*l**3 - 13*l**2 + 0*l + 2 + 1/15*l**5. Factor o(q).
4*(q - 1)**2
Let u be 11*(234/(-66) - -4). Let o(b) be the third derivative of 3*b**2 + 0*b**3 - 1/1365*b**7 - 1/195*b**6 + 0*b - 1/78*b**u - 1/78*b**4 + 0. Factor o(m).
-2*m*(m + 1)**2*(m + 2)/13
Let z = 240172 - 1200857/5. Factor -120 + z*a**3 + 54/5*a**2 + 36*a.
3*(a - 2)*(a + 10)**2/5
Let h(p) be the second derivative of -2/3*p**3 + 70*p - 1/5*p**5 + 0 - 12*p**2 + 4/3*p**4. Determine i, given that h(i) = 0.
-1, 2, 3
Let b = -88 - -89. Let t be -3 - (b + (-6 - -4)*2). Factor t - 2/15*u**3 + 4/15*u + 2/15*u**2.
-2*u*(u - 2)*(u + 1)/15
Find o, given that 405*o**2 - 1229*o**2 - 191*o + 411*o**2 + 411*o**2 + 776 + 5*o = 0.
-97, 4
Let h(z) be the third derivative of -z**7/840 - z**6/48 - 3*z**5/20 - 49*z**4/12 + 71*z**2. Let m(g) be the second derivative of h(g). Factor m(u).
-3*(u + 2)*(u + 3)
Suppose -2*j = 3*j + 5*x + 5, 5*j = -3*x + 1. Let k(b) be the first derivative of -11 - 4/21*b**3 + 0*b + 4/7*b**j. Factor k(h).
-4*h*(h - 2)/7
Let z(x) be the third derivative of x**6/240 - 7*x**5/80 + 3*x**4/8 + 27*x**3 - 5*x**2. Let m(b) be the first derivative of z(b). Factor m(k).
3*(k - 6)*(k - 1)/2
Let w(o) = -6*o + 48. Let f be w(9). Let c be (f + 2)*((-10)/(-4) - 3). Factor l - 2*l + 3*l**3 + 3*l + 9*l**c + 4*l.
3*l*(l + 1)*(l + 2)
Let y(m) be the first derivative of 136 - 36/5*m + 111/10*m**2 - 3/5*m**3. Determine f so that y(f) = 0.
1/3, 12
Let v(k) = -k**2 + 1. Let p(l) = -10*l**2 - 8*l + 2. Suppose 4*f = 9*f + 205. Let y = -47 - f. Let t(s) = y*v(s)