1 - 6). Let g(n) = 25*n**2 + 30*n. Let p(z) = s*y(z) - 6*g(z). Solve p(f) = 0 for f.
-1, -1/5
Let t be (-2)/(-3) - 3381/3978. Let n = -1/34 - t. Suppose -n - 4/13*g - 2/13*g**2 = 0. What is g?
-1
Determine s so that 0 + 0*s - 3/8*s**4 - 15/4*s**2 + 33/8*s**3 = 0.
0, 1, 10
Factor 3/4*r + 1 - 3/4*r**3 - 5/4*r**2 + 1/4*r**4.
(r - 4)*(r - 1)*(r + 1)**2/4
Factor 23*t + 5*t**2 - 14*t - 3*t**2 - 10*t.
t*(2*t - 1)
Let c(y) = 3*y**2 + 6*y - 12. Let o be c(3). Factor 2063*a**3 + 8 - 2044*a**3 - 3*a + 8*a - o*a - 6*a**2 + 7*a**4.
(a - 1)*(a + 2)**2*(7*a - 2)
Let o(s) be the third derivative of -s**6/60 - 43*s**5/40 - 2*s**4/3 - 613*s**2. Let o(j) = 0. What is j?
-32, -1/4, 0
Let q be 4/(-10)*(-68 + 8). Determine g, given that q*g**5 + 2*g**4 - 36*g**5 - 68*g**5 + 92*g**3 - 12*g - 2*g**2 = 0.
-1, -3/8, 0, 2/5, 1
Suppose 117*i - 86*i**2 - 1/2*i**4 + 19*i**3 - 99/2 = 0. Calculate i.
1, 3, 33
Factor 6*q + 333*q**2 - 607*q**2 + 301*q**2.
3*q*(9*q + 2)
Factor 5/2 - 1/4*j**2 - 3/4*j.
-(j - 2)*(j + 5)/4
Factor -28845 + 116424*d**2 - 710*d + 270*d - 19555 - 116425*d**2.
-(d + 220)**2
Let k(h) = -h**2 + 3*h - 2. Let j = 11 - 13. Let q(f) = -f + 1. Let u(r) = j*k(r) - 6*q(r). Solve u(n) = 0.
-1, 1
Let -24 - 72/5*r - 6/5*r**2 = 0. What is r?
-10, -2
Let b(r) be the first derivative of 22*r**6/3 - 28*r**5 + 39*r**4 - 68*r**3/3 + 4*r**2 - 25. Factor b(j).
4*j*(j - 1)**3*(11*j - 2)
Suppose 17/5*a**3 - 3/5*a**4 + 8/5*a - 22/5*a**2 + 0 = 0. Calculate a.
0, 2/3, 1, 4
Let a(g) be the second derivative of 7*g**5/45 + 4*g**4/9 + 2*g**3/9 - 4*g**2/9 - g + 16. Determine j so that a(j) = 0.
-1, 2/7
Let s(g) = -1. Let j(p) = -3. Let o(x) = -6*j(x) + 17*s(x). Let n(r) = -8*r**3 - 20*r**2 - 16*r - 10. Let i(q) = -n(q) - 6*o(q). Factor i(v).
4*(v + 1)**2*(2*v + 1)
Let u = -70 + 73. Determine q so that -8/5*q + 14/5*q**2 + 4/5*q**u + 0 = 0.
-4, 0, 1/2
Factor -2/15*m**5 - 196/3*m**2 - 112/5*m**3 - 686/15*m + 0 - 44/15*m**4.
-2*m*(m + 1)*(m + 7)**3/15
Let x(j) be the second derivative of -1/12*j**4 + 0 - 4*j + 1/60*j**6 - j**3 + 3*j**2 + 1/10*j**5. Let o(y) be the first derivative of x(y). Factor o(q).
2*(q - 1)*(q + 1)*(q + 3)
Let i be 228/32 + -3 + (-80)/640. Factor -9/7*o**2 + 11/7*o + 1/7*o**3 - 4/7 + 1/7*o**i.
(o - 1)**3*(o + 4)/7
Let i(u) = -4*u**4 - 16*u**3 - 16*u**2 + 5*u. Let r(h) = -4*h**4 - 16*h**3 - 16*h**2 + 4*h. Let p(b) = -4*i(b) + 5*r(b). Factor p(o).
-4*o**2*(o + 2)**2
Let p = 37940 - 493218/13. Let s = -7/26 + 11/26. Factor 4/13 + p*v - s*v**2.
-2*(v - 2)*(v + 1)/13
Let p(o) be the second derivative of o**7/168 - o**6/24 - 2*o - 44. Determine f, given that p(f) = 0.
0, 5
Let t be (-188)/47 - ((-2 + 1)/(-1) + -8). Factor 3/2*x**3 - t*x - 3/2*x**2 + 0.
3*x*(x - 2)*(x + 1)/2
Let m(t) be the second derivative of -7/90*t**6 + 20*t + 1/18*t**4 + 1/12*t**5 + 0 + 0*t**3 + 0*t**2. Factor m(u).
-u**2*(u - 1)*(7*u + 2)/3
Let f(y) be the first derivative of 2*y**3/51 + 199*y**2/17 + 396*y/17 - 103. Factor f(c).
2*(c + 1)*(c + 198)/17
Let y(h) be the third derivative of 0*h**4 + 0 + 0*h + 11/225*h**7 + 2/225*h**5 + 7/360*h**8 + 8/225*h**6 + 0*h**3 - 18*h**2. What is r in y(r) = 0?
-1, -2/7, 0
Let x(t) be the first derivative of 0*t - 31 + 0*t**2 + 4/15*t**3 - 1/2*t**4. Factor x(y).
-2*y**2*(5*y - 2)/5
Suppose -11 = -199*p + 198*p. Let h be 0*(65/(-55) - (-2)/p). What is m in -1/3*m**3 + 1/3*m**4 + 0*m + 0*m**2 + h = 0?
0, 1
Suppose 8 = -4*k - 4*t, 13 = -4*k + 17*t - 22*t. Solve -k*f - 1/4*f**3 - 3/2*f**2 - 2 = 0 for f.
-2
Suppose -4*v = -3*v - 5. Factor -6 + v*x + x**3 - 9*x + 2 + x**2.
(x - 2)*(x + 1)*(x + 2)
Let w = 38 - 36. What is j in -5*j**w - j + 2 + 0*j**2 + 2*j + 4*j**2 = 0?
-1, 2
Let d be (-30)/350*60/(-6). Factor -2/7*r**3 - 2/7 - 6/7*r - d*r**2.
-2*(r + 1)**3/7
Suppose 33 - 4*v**3 - 65*v + 19 + 40*v**2 - 27*v + 4 = 0. What is v?
1, 2, 7
Let p(k) = 8*k**3 - 48*k**2 + 20*k + 20. Suppose 0 = 4*o + 3*o + 140. Let f(z) = z**3 - 7*z**2 + 3*z + 3. Let c(n) = o*f(n) + 3*p(n). Factor c(q).
4*q**2*(q - 1)
Let p(t) be the third derivative of -t**7/21 - 7*t**6/24 - t**5/6 + 5*t**4/8 - 2*t**2 + 41. Factor p(u).
-5*u*(u + 1)*(u + 3)*(2*u - 1)
Let w(c) be the second derivative of -1/24*c**4 - 16*c - 1/3*c**3 - c**2 + 0. Determine z, given that w(z) = 0.
-2
Let u = -303 - -306. Let d(t) be the first derivative of -1 - 2/3*t**u - t**2 + 4*t. Solve d(h) = 0.
-2, 1
Let t be -4*(-50*(-2)/(-48) - -2). Let i(j) be the second derivative of -t*j**4 - 5*j + 0*j**2 + 0 - 3/40*j**6 - 1/6*j**3 - 21/80*j**5. What is s in i(s) = 0?
-1, -2/3, 0
Suppose -3*f + 6*f + 2*t = 8, 2*f + 2*t - 4 = 0. Let u(c) be the second derivative of 0 + 2*c**2 - f*c + 0*c**3 - 1/3*c**4. Factor u(i).
-4*(i - 1)*(i + 1)
Let u(c) be the second derivative of c**4/15 - 2*c**2/5 - 15*c - 1. Factor u(n).
4*(n - 1)*(n + 1)/5
Suppose 14*c - 5*i + 15 = 16*c, i - 3 = 0. Let y(x) be the second derivative of -3/20*x**5 + 0*x**2 + 1/2*x**3 - 6*x + 0*x**4 + c. What is v in y(v) = 0?
-1, 0, 1
Factor -5408/7 - 2/7*z**2 + 208/7*z.
-2*(z - 52)**2/7
Factor -4*f - 250*f**3 + 2*f**5 - 6*f**5 + 258*f**3.
-4*f*(f - 1)**2*(f + 1)**2
Let v(h) be the third derivative of -363*h**6/140 + 22*h**5/35 - h**4/21 + 2*h**2 - 47*h. Solve v(n) = 0.
0, 2/33
Let p(c) be the first derivative of 2*c**2 - 21*c - 22. Let i be p(6). Factor -4/3*f - 2*f**2 - 2/3*f**i + 0.
-2*f*(f + 1)*(f + 2)/3
Solve 9 + 2*q**2 - 1/4*q**3 + 45/4*q = 0.
-3, -1, 12
Suppose -72*u**3 + 3/8*u**4 + 14109/4*u**2 + 27075/8 - 6840*u = 0. What is u?
1, 95
Let g(x) = 5*x**2 + 695*x + 1345. Let j(t) = t**2 + 173*t + 336. Let c(z) = -6*g(z) + 25*j(z). Factor c(o).
-5*(o - 33)*(o + 2)
Suppose 22/9*o**4 + 2/9*o**5 - 32/3 - 64/9*o + 8*o**3 + 64/9*o**2 = 0. What is o?
-6, -2, 1
Let c be ((-64)/(-36))/1 + 46/207. Factor -6 - 39/2*i**c - 9*i**3 - 3/2*i**4 - 18*i.
-3*(i + 1)**2*(i + 2)**2/2
Factor -5/7*b**3 + 4/7*b + 8/7*b**2 + 0.
-b*(b - 2)*(5*b + 2)/7
Let x(r) be the first derivative of r**6/660 + r**5/55 + 3*r**4/44 - 2*r**2 + 10. Let b(a) be the second derivative of x(a). Factor b(m).
2*m*(m + 3)**2/11
Let z(b) be the second derivative of -b**5/5 - 227*b**4/3 - 25990*b**3/3 - 25538*b**2 + 313*b. Factor z(m).
-4*(m + 1)*(m + 113)**2
Let i(a) be the second derivative of 44*a + 0 - 24*a**2 + 32/3*a**3 - 7/3*a**4 + 1/5*a**5. Factor i(o).
4*(o - 3)*(o - 2)**2
Let o(v) be the first derivative of 5*v**4 - 28*v**3/3 - 16*v**2 + 16*v + 312. Factor o(i).
4*(i - 2)*(i + 1)*(5*i - 2)
Let o(s) be the first derivative of 5/3*s**3 - 4*s**2 + 5 - 1/4*s**4 + 4*s. Factor o(r).
-(r - 2)**2*(r - 1)
Let y(l) be the third derivative of 0 - 1/27*l**3 + 1/315*l**7 - 1/135*l**5 - 1/270*l**6 - 1/1512*l**8 + 1/36*l**4 + 0*l - 7*l**2. Factor y(t).
-2*(t - 1)**4*(t + 1)/9
Let h = -37 + 40. Factor -10*p**4 - 3 - 3*p**3 + h*p + 12*p**4 - p**2 + 2.
(p - 1)**2*(p + 1)*(2*p - 1)
Let o(d) be the first derivative of -24*d - 14 - 26/9*d**3 - 16*d**2 - 1/6*d**4. Solve o(p) = 0 for p.
-6, -1
Let k be (-2)/9 - (-141)/27. Suppose -5*n - 59 = -k*l - 4*n, -2*n + 26 = 2*l. Determine t, given that l + 6*t + 0*t**2 + 3*t**2 + 6*t = 0.
-2
Let o(z) = -z**2 + 11*z - 10. Let u be o(9). Let v = u + -4. Suppose -3*h**2 + h**2 - 8*h**3 + h - 4*h**v + h**3 = 0. Calculate h.
-1, 0, 1/4
Let v(p) be the second derivative of p**6/240 + 3*p**5/80 + 13*p**4/96 + p**3/4 + p**2/4 - 5*p - 71. Factor v(h).
(h + 1)**2*(h + 2)**2/8
Let m be 58/(-2 + 104/12) + 1. Let z = m + -41/5. Factor 0 + 3/2*l - z*l**2.
-3*l*(l - 1)/2
Let c be (-24885)/(-945) + (-5)/1. Solve 8/3 + 34/3*v**3 + 146/3*v**2 + c*v - 98/3*v**5 - 154/3*v**4 = 0.
-1, -2/7, 1
Suppose -4*n - 52 = -140. Let c = 31 - n. Let 0*v**3 - v**3 + 4*v**3 + 9*v + c*v**2 + 3 = 0. Calculate v.
-1
Let q(v) be the third derivative of v**5/330 + 3*v**4/11 - 37*v**3/33 - 25*v**2 - 3*v. Factor q(t).
2*(t - 1)*(t + 37)/11
Let o = 0 - 0. Suppose g + 0 - 3 = o. Factor 10*s**4 - 7*s**4 - g*s + s**3 + 9*s**2 - 10*s**3 + 0*s**3.
3*s*(s - 1)**3
Let n(h) be the first derivative of -h**6/27 + 2*h**5/15 - h**4/9 + 1. Find j such that n(j) = 0.
0, 1, 2
Let k(l) be the second derivative of l**4/20 + 7*l**3/5 + 39*l**2/10 + 8*l. Factor k(w).
3*(w + 1)*(w + 13)/5
Let c(q) be the third derivative of -q**6/1020 + 49*q**5/510 - 52*q**4/17 + 192*q**3/17 + 87*q**2. Factor c(w).
-2*(w - 24)**2*(w - 1)/17
Let j(v) = -v**2 + 21*v - 8