**z.
-(w + 1)*(5*w - 3)/2
Suppose 30 = 9*w - 15. Factor -3*x**2 + w*x**3 + x**4 - 97 + 105 - 10*x - x**3.
(x - 1)**2*(x + 2)*(x + 4)
Let b(y) be the first derivative of 0*y - 8*y**3 + 2/5*y**5 + 1/2*y**4 - 90 + 0*y**2. Solve b(n) = 0.
-4, 0, 3
Factor -29*j**2 + 11 + 28 + 108 - 2536*j + 11*j**2 + 135.
-2*(j + 141)*(9*j - 1)
Let a(w) = 3*w**4 - 16*w**3 + 44*w + 27. Let r(d) = -4*d**4 + 19*d**3 + 2*d**2 - 45*d - 27. Let q(b) = -3*a(b) - 2*r(b). Suppose q(p) = 0. What is p?
-1, 3, 9
Let o(q) = -q**2 - 17*q - 1. Let i(f) = -8*f**2 - 2341*f + 2292. Let y(h) = i(h) - 3*o(h). Suppose y(p) = 0. Calculate p.
-459, 1
Let u(y) be the second derivative of 3*y**5/20 + 151*y**4/4 - y**3/2 - 453*y**2/2 - 123*y - 2. Determine w, given that u(w) = 0.
-151, -1, 1
Let k(l) = 25*l**4 - 37700*l**3 + 14212868*l**2 - 32*l - 16. Let t(b) = 5*b**4 - 7540*b**3 + 2842574*b**2 - 6*b - 3. Let x(j) = -3*k(j) + 16*t(j). Factor x(r).
5*r**2*(r - 754)**2
Let t(i) = -7*i**3 - 256*i**2 + 513*i - 265. Let v(w) = -3*w**3 - 128*w**2 + 257*w - 132. Let s(j) = 2*t(j) - 5*v(j). Let s(p) = 0. Calculate p.
-130, 1
Suppose 0 = -31*o + 12*o - 19. Let k(x) = -x**2 - 21*x + 86. Let l(h) = h**2 + h + 4. Let f(r) = o*k(r) + 4*l(r). What is s in f(s) = 0?
-7, 2
Let d be (-7)/(-14) - -4 - (-10 + 13) - -1. Solve 15*b - 25/2 - d*b**2 = 0 for b.
1, 5
Let h be 60/(-30)*(46/48 + -1). Let g(p) be the first derivative of -1/6*p**2 + 28 + h*p**4 - 1/15*p**5 - 2/3*p + 1/3*p**3. Let g(l) = 0. What is l?
-1, 1, 2
Let t = 89 - 85. Suppose 0*z + z = 5, -2*h - t*z = -26. Factor -11*l**2 + l**4 + 28*l - 34*l - 2*l**h + l**4 + l**2.
2*l*(l - 3)*(l + 1)**2
Find t such that 2/7*t**5 - 18/7*t**4 - 4*t + 18/7*t**2 + 0 + 26/7*t**3 = 0.
-1, 0, 1, 2, 7
What is v in 4448/21*v + 2/21*v**2 + 0 = 0?
-2224, 0
Let l(g) be the third derivative of 0*g**3 + 41/60*g**5 + 0 - 2*g**2 - 21/40*g**7 - 192*g - 1/12*g**4 - 133/80*g**6. Factor l(m).
-m*(m + 2)*(21*m - 2)**2/4
Let i(o) be the second derivative of 5*o**6/3 - 19*o**5 + 16*o**4 + 384*o**3 - 1405*o. Factor i(d).
2*d*(d + 2)*(5*d - 24)**2
Let v(s) be the first derivative of 0*s + 2/3*s**3 - 18 - 13/10*s**5 + 0*s**2 - 7/24*s**6 - 5/4*s**4. Factor v(z).
-z**2*(z + 2)**2*(7*z - 2)/4
Factor 135/7*i**2 + 150/7*i + 3/7*i**4 + 36/7*i**3 + 0.
3*i*(i + 2)*(i + 5)**2/7
Factor -6/5*z**4 - 12/5*z + 12/5*z**2 + 0 - 3/5*z**5 + 9/5*z**3.
-3*z*(z - 1)**2*(z + 2)**2/5
Let r = 35 - 20. Suppose 0 = -5*m + r, -f - m = -7 - 1. Determine v, given that -4*v**3 - 53*v**5 - 59*v**5 + 116*v**f = 0.
-1, 0, 1
Let c(a) be the first derivative of 7*a**5/5 + 29*a**4/2 - 47*a**3/3 - 9*a**2 + 612. Suppose c(k) = 0. Calculate k.
-9, -2/7, 0, 1
Suppose 0 = 49*v - 168 + 70. Let w(l) be the first derivative of -1/2*l + 3/16*l**4 + 24 + 1/12*l**3 + 1/20*l**5 - 3/8*l**v. Factor w(s).
(s - 1)*(s + 1)**2*(s + 2)/4
Factor -283/2*x + 1/2*x**2 + 281.
(x - 281)*(x - 2)/2
Let x(m) = -100 + 314*m - 4*m - m**2 - 8*m**2 + 8*m**2 + 6*m**2. Let u(s) = 2*s**2 + s - 1. Let a(i) = -20*u(i) + x(i). Factor a(k).
-5*(k - 8)*(7*k - 2)
Let y(q) be the first derivative of 0*q**4 + 0*q**2 - 1/10*q**5 - 8 + 0*q**3 - 5/12*q**6 + 0*q. Find o such that y(o) = 0.
-1/5, 0
Let i(r) be the second derivative of -r**3/6 + r**2/2 + 11*r. Let t be i(-5). Suppose -3 - 4*z - 4 + t + 6*z**2 - 1 = 0. What is z?
-1/3, 1
Suppose 4591 + 6409 = 4298*y + 1202*y. Factor -y*g**4 + 50/7*g + 54/7*g**3 - 12/7 - 78/7*g**2.
-2*(g - 1)**3*(7*g - 6)/7
Let q = 3/956 + 19063/18164. Let a be 104/(-57) + 704/(-1848)*-7. Factor -8/19*t + 2/19*t**3 + 8/19*t**4 - q*t**2 + a + 2/19*t**5.
2*(t - 1)**2*(t + 2)**3/19
Let q be 2 - (603/(-27) + 10 - -13). Factor 400/3 - 80/3*h + q*h**2.
4*(h - 10)**2/3
Let x(n) be the second derivative of n**5/100 + 3*n**4/10 + 89*n**3/30 + 36*n**2/5 + 3*n + 56. Factor x(c).
(c + 1)*(c + 8)*(c + 9)/5
Let -1/3*p**2 - 690*p - 357075 = 0. Calculate p.
-1035
Let f(n) = 127 - 9 - 3 - n - 23 + 4*n. Let b be f(-30). Factor 9/7 - 12/7*z + 3/7*z**b.
3*(z - 3)*(z - 1)/7
Let a be 4*(-12)/96 - 14/(-4). Factor 24*p - 10*p**a - 6*p**2 - 12*p**3 + 19*p**3.
-3*p*(p - 2)*(p + 4)
Let p(d) be the second derivative of 95*d - 2*d**2 - 23/16*d**4 - 1/20*d**5 - 27/8*d**3 + 0. Factor p(n).
-(n + 1)*(n + 16)*(4*n + 1)/4
Factor 4/9*b**2 - 3292/9 - 1096/3*b.
4*(b - 823)*(b + 1)/9
Suppose 2*y = 4*k - 5*k + 3, -k = 4*y - 3. Let n = 101 + -101. Factor n*d**2 - 1/4*d**4 + d + y - 3/4*d**3.
-d*(d - 1)*(d + 2)**2/4
Let j be 1*-6*((-4)/(-34) - 8245/8670). Let o(d) be the third derivative of 0 + 0*d - 10*d**2 + 1/48*d**4 - 1/120*d**j + 0*d**3. Find h such that o(h) = 0.
0, 1
Let g = -2/256323 + 28481/85441. Solve 2 - 2/3*q**2 + 5/3*q - g*q**3 = 0.
-3, -1, 2
Let t(g) be the first derivative of 3*g**4/4 - 5430*g**3 + 14742450*g**2 - 17789223000*g - 9680. Suppose t(f) = 0. Calculate f.
1810
Let i(h) = h**3 - 189*h**2 - 1916*h - 1691. Let q(g) = g**3 - g**2 + 9. Let v(a) = i(a) - 5*q(a). Suppose v(u) = 0. What is u?
-31, -14, -1
Let q be -10 + (-453)/18 + (-3)/(-18). Let u(t) = -7*t - 245. Let j be u(q). Suppose -8/3*s - 4*s**2 - 4/3*s**3 + j = 0. What is s?
-2, -1, 0
Let f(w) be the second derivative of w**5/10 + 4*w**4 + 149*w**3/3 + 210*w**2 + 12458*w. Let f(a) = 0. What is a?
-15, -7, -2
Let i(x) = -x**2 - x + 77. Let f be i(0). Factor 16 - 14*c + 15 + 2*c**2 - f + 10.
2*(c - 9)*(c + 2)
Let r be (48 - (-26500)/(-550))/(45/(-33)). What is l in -2/5*l + r*l**2 + 0 = 0?
0, 3
Let o be -2 + (46080/50 - 12). Let t = -904 + o. Let 0 + 3/5*w**2 - t*w = 0. Calculate w.
0, 6
Suppose 316*c - 319*c = -150. Let r = -48 + c. Factor 5/3*t + 4/3 + 1/3*t**r.
(t + 1)*(t + 4)/3
Let -46/3 + r**2 - 17/3*r = 0. Calculate r.
-2, 23/3
Let d = 318 + -318. Suppose p = 3*z - 16, 5*z - 40 + 14 = p. Solve 11/10*y**3 + 7/10*y**z + 1/5*y**2 + 8/5*y**4 + d + 0*y = 0 for y.
-1, -2/7, 0
Let r(a) be the first derivative of 9*a**4/28 + 94*a**3/7 - 195*a**2/14 - 96*a/7 + 1034. Solve r(x) = 0.
-32, -1/3, 1
Suppose -244*j = -233*j - 726. Suppose -3*l = 2*a - j + 62, 5*a - 10 = 3*l. Factor 0 + 0*i**a + 2/5*i - 2/5*i**3.
-2*i*(i - 1)*(i + 1)/5
Suppose -3*q = 19*u - 15*u + 4, -22 = -3*u + 4*q. Find s such that 85*s**2 + 87*s**u - 15*s - 177*s**2 - 10 = 0.
-2, -1
Let l = 509 - 506. Suppose -2*s**4 + 401*s**3 - s**4 - 11*s + 35*s - 416*s**l - 6*s**2 = 0. What is s?
-4, -2, 0, 1
Let l be (25 - 34) + 272/30. Let j(v) be the second derivative of 0*v**2 - 1/18*v**4 - 1/45*v**6 + 0*v**3 + l*v**5 + 11*v + 0. Suppose j(n) = 0. What is n?
0, 1
Let z = 42665 + -42663. Let -8/7*m + 20/7 - 1/7*m**z = 0. What is m?
-10, 2
Let z(a) be the second derivative of a**7/42 + 4*a**6/15 - 25*a**4/6 - a**3/6 + 21*a**2 - a + 253. Find p, given that z(p) = 0.
-7, -3, -1, 1, 2
Let h be 4/(-3) - 34/51. Let j be (3 - 6 - h) + 9. Factor -j*y - 8*y**2 + 4*y**2 + 8*y**2 + 4*y**3 - 4*y**4 + 4*y**3.
-4*y*(y - 2)*(y - 1)*(y + 1)
Let s(f) be the third derivative of f**6/30 - 38*f**5/15 - 26*f**4/3 - 107*f**3/6 - 2*f**2 + 2. Let h(k) be the first derivative of s(k). Factor h(p).
4*(p - 26)*(3*p + 2)
Let t(b) = -5*b**2 + 14*b - 84. Let o be t(6). Let r be (6/(-16))/(27/o). Factor -2*c**4 - 2*c**3 - 1/2*c**5 + c**2 + r*c + 1.
-(c - 1)*(c + 1)**3*(c + 2)/2
Let k = 53 + 45. Solve -1 - 198*p**4 + k*p**2 - 2*p + 16*p - 3 - 12*p + 102*p**3 = 0 for p.
-1/3, 2/11, 1
Let s(y) be the first derivative of 192*y + 137 + 64/9*y**3 - 56*y**2 - 1/3*y**4. Factor s(r).
-4*(r - 6)**2*(r - 4)/3
Let w(h) be the first derivative of -1/10*h**5 - h**2 - 3 + 1/6*h**4 + 6*h + 1/3*h**3. Let d(q) be the first derivative of w(q). Find s such that d(s) = 0.
-1, 1
Let n = 32617/2499 + -222/17. Let m = 2641/735 - n. Find j such that -6/5*j + m*j**2 - 2*j**3 - 2/5 = 0.
-1/5, 1
Let c(i) = -5*i**2 + 3186*i + 852267. Let u(w) = 8*w**2 - 6375*w - 1704534. Let f(j) = -7*c(j) - 4*u(j). Factor f(p).
3*(p + 533)**2
Let v(a) = 10*a**3 - 795*a**2 - 10*a + 890. Let t(d) = 11*d**3 - 792*d**2 - 11*d + 906. Let f(o) = -5*t(o) + 6*v(o). Let f(u) = 0. Calculate u.
-1, 1, 162
Let a(m) be the second derivative of -1/12*m**4 - 392*m**2 - 2*m + 3 - 28/3*m**3. Factor a(y).
-(y + 28)**2
Let v = 178963/6 + -29827. Let k(c) be the second derivative of 0 + 1/210*c**7 + v*c**3 - 16*c - 1/30*c**6 - 1/10*c**2 - 1/6*c**4 + 1/10*c**5. Factor k(r).
(r - 1)**5/5
Suppose -2*f = -5*j - 2, -2*j = -f + j. Let o be 4/2