ctor -1/3*i**3 + 1/3*i**5 + 0 + 1/3*i**s - 1/3*i**2 + 0*i.
i**2*(i - 1)*(i + 1)**2/3
Suppose q - 3 = -5*v, 5*v + 15 = -2*q + 21. Let 0 + 0*m**2 - 3*m**4 + v*m + 3/2*m**5 + 0*m**3 = 0. What is m?
0, 2
Let -19/4*s**2 - 11/4*s**3 - 3/8*s**4 - 7/8 - 27/8*s + 1/8*s**5 = 0. What is s?
-1, 7
Let h(i) = -i**3 - i**2 - 2. Let d be h(-2). Factor 6*x - 4*x + 5*x + x - 4*x**d.
-4*x*(x - 2)
Let s(b) = -5*b + 108. Let d be s(36). Let y be (-18)/d + 5/12. Let 1/3*j**2 - 1/3*j - y = 0. What is j?
-1, 2
Factor 20/9 + 28/3*o + 16/9*o**2.
4*(o + 5)*(4*o + 1)/9
What is d in -72*d**3 + 841/2*d + 0 - 5/4*d**4 - 4089/4*d**2 = 0?
-29, 0, 2/5
Let h(i) be the first derivative of -2*i**5 - 8*i**4 - 128*i**3/15 - 423. Factor h(b).
-2*b**2*(5*b + 8)**2/5
Let r be (-3)/(-27) + (-244)/(-1368). Let n = r + 4/19. Let 3/2*o**2 + n + 3/2*o + 1/2*o**3 = 0. What is o?
-1
Suppose -5*v = 2*i - 33, -2*v - v = -4*i + 1. Suppose 36*z - 50 = 26*z. Factor z*r - 5*r + 2*r**2 + 2 + i*r + 0.
2*(r + 1)**2
Factor -294 - 43/3*a**3 - 1/6*a**4 - 602*a - 1933/6*a**2.
-(a + 1)**2*(a + 42)**2/6
Let c(f) be the first derivative of 3*f**4/2 + 34*f**3/3 + 21*f**2 - 18*f - 74. Factor c(u).
2*(u + 3)**2*(3*u - 1)
Determine b, given that -4/7*b**3 + 1/7*b**4 - 18/7*b**2 - 20/7*b - 1 = 0.
-1, 7
Let r(h) = -2 + 8 + 7*h - 20. Let l be r(2). Factor n**2 + 0*n**3 - 1/2*n**5 - n**4 + l + 1/2*n.
-n*(n - 1)*(n + 1)**3/2
Let o be 4/(-12) - 4372/1680 - -3. Let s(f) be the second derivative of -1/70*f**6 + 5*f - 1/14*f**4 + 0*f**3 + 0*f**2 - o*f**5 + 0. Solve s(h) = 0 for h.
-2, -1, 0
Let p(z) be the third derivative of z**7/3780 + z**6/180 + z**5/36 - z**4/4 - z**2. Let k(x) be the second derivative of p(x). Find h, given that k(h) = 0.
-5, -1
Let x(p) = -3*p**3 + 39*p**2 + 59*p - 731. Let f(q) = -21*q**3 + 270*q**2 + 414*q - 5118. Let b(z) = 4*f(z) - 27*x(z). Factor b(v).
-3*(v - 7)**2*(v + 5)
Let l(s) be the third derivative of -s**6/200 - s**5/100 + s**4/5 + 6*s**3/5 + 5*s**2 + 2. Determine i so that l(i) = 0.
-2, 3
Let o(d) be the third derivative of d**7/525 + 11*d**6/100 + 16*d**5/75 + d**2 + 35. Factor o(j).
2*j**2*(j + 1)*(j + 32)/5
Let l(v) be the third derivative of -7*v**6/540 - 17*v**5/270 - v**4/18 - 47*v**2. Find m, given that l(m) = 0.
-2, -3/7, 0
Let w(k) be the third derivative of k**5/480 + k**4/48 + 3*k**2 + 2. Solve w(j) = 0 for j.
-4, 0
Let m(o) = 2*o**5 - 8*o**4 + 12*o**3 - 4*o**2. Let p(c) = c**3. Let q(f) = -m(f) + 2*p(f). Factor q(a).
-2*a**2*(a - 2)*(a - 1)**2
Suppose 5*v - 7 = z, 2*v - 3*z = -z - 2. Factor 25/2*h**4 - 8*h**v - 2*h - 5/2*h**3 + 0.
h*(h - 1)*(5*h + 2)**2/2
Solve -50*o**2 - 2/3*o**3 - 146/3 - 98*o = 0.
-73, -1
Let r = -975 + 982. Let q(b) be the first derivative of -12*b + 4*b**2 - r + 4/3*b**3. Factor q(m).
4*(m - 1)*(m + 3)
Let b(u) = 27*u**3 + 10737*u**2 - 742677*u - 753552. Let x(l) = 4*l**3 + 1652*l**2 - 114258*l - 115931. Let q(s) = -5*b(s) + 33*x(s). Factor q(p).
-3*(p - 139)**2*(p + 1)
Let c(d) be the first derivative of d**3/12 - d**2/2 + d - 73. Factor c(z).
(z - 2)**2/4
Let f = -6462 - -6466. Factor 0 + 16/5*r**f + 9/5*r**2 - 24/5*r**3 - 1/5*r.
r*(r - 1)*(4*r - 1)**2/5
Let w(a) = a + 1. Let v be (7/7)/1 + 3 + 0. Let y(k) = -k**3 + 12*k**2 - 38*k - 2. Let l(h) = v*w(h) + 2*y(h). Factor l(d).
-2*d*(d - 6)**2
Let f(l) = -2*l**3 + 21*l**2 + 15*l - 43. Let u be f(11). Let y be 76/76 + (2 + 0 - u). Factor 1/8*v**y - 1/4 - 1/8*v.
(v - 2)*(v + 1)/8
Let f(k) be the third derivative of -k**8/1512 + 2*k**7/189 - 37*k**6/540 + 2*k**5/9 - k**4/3 - 53*k**2. Factor f(l).
-2*l*(l - 3)**2*(l - 2)**2/9
Let s(f) be the third derivative of f**5/15 - 7*f**4/6 + 20*f**3/3 + 438*f**2. What is w in s(w) = 0?
2, 5
Let d(t) be the second derivative of t**7/273 - 2*t**6/195 - 2*t**5/65 + 4*t**4/39 - 29*t. Factor d(r).
2*r**2*(r - 2)**2*(r + 2)/13
Let g be -2 - (((-60)/32)/5 - 2). Let t(u) be the second derivative of -u - g*u**5 + 1/20*u**6 + 0 + 9/8*u**4 - 7/4*u**3 + 3/2*u**2. Factor t(h).
3*(h - 2)*(h - 1)**3/2
Let m(p) = -11*p**2 + 26*p + 20. Let r(z) = -4*z**2 + 9*z + 7. Let l(j) = 6*m(j) - 17*r(j). Let v be l(-2). Factor -8*w**3 + 0*w**3 - 17*w**v + 10*w**2 + 15*w.
-5*w*(w - 1)*(5*w + 3)
Let l(u) = 4*u**2 + 151*u - 192. Let b be l(-39). Determine p so that -2/7*p**4 + 0*p - 4/7*p**5 + 0*p**2 + 0 + 6/7*p**b = 0.
-3/2, 0, 1
Let n(o) = -7*o + 2. Let k be n(-2). Factor 213*l - 8*l**2 - 10*l**4 - 2*l**5 - k*l**3 - 213*l.
-2*l**2*(l + 1)*(l + 2)**2
Let l = -1259/700 + 237/100. Solve -l*i**2 + 20/7*i - 16/7 = 0.
1, 4
Solve 20*v - 20*v - 15*v**4 - 6*v + 88*v**3 - 12*v - 123*v**2 = 0 for v.
-2/15, 0, 3
Let l = -39563 + 316513/8. Let -9/4 - l*q**3 + 15/4*q**2 - 3/8*q = 0. What is q?
-2/3, 1, 3
Let p(s) be the second derivative of s**6/6 + 7*s**5/4 - 15*s**4/4 - 35*s**3/6 + 20*s**2 - s - 18. Factor p(k).
5*(k - 1)**2*(k + 1)*(k + 8)
Let y = 75 + -67. Suppose -y = -3*i + 1. Solve 2/7*w + 0 + 4/7*w**2 + 2/7*w**i = 0.
-1, 0
Let g(d) = -d**3 + 7*d**2 + 2. Let h be g(0). Let y(j) be the second derivative of -1/30*j**5 - j - 2/3*j**h + 0 + 1/3*j**3 + 0*j**4. What is s in y(s) = 0?
-2, 1
Factor 30 + 15/2*u**2 + 78*u.
3*(u + 10)*(5*u + 2)/2
Let h(q) = q**2 - 13*q + 4. Let m be h(17). Let s be (-42)/(-80) + (3 - 225/m). Find k such that 2/5*k**3 + s*k**4 + 0*k**2 + 0*k + 0 = 0.
-1, 0
Solve -5*l**3 - 10 + 10317*l**2 - 40 + 65*l - 10327*l**2 = 0.
-5, 1, 2
Let o = 4600/16149 - -2/2307. Suppose -22/7*m - o*m**3 + 2*m**2 + 10/7 = 0. Calculate m.
1, 5
Let h be (-8)/(-18)*(-1 + 5 - 1). Let x(j) be the first derivative of 2*j**2 + 0*j - 7 + h*j**3. Solve x(b) = 0.
-1, 0
Let c(p) be the third derivative of -4*p**5 + 235*p**4/24 + 5*p**3/6 + 153*p**2. Solve c(j) = 0.
-1/48, 1
Let k(j) be the second derivative of -j**7/63 + j**6/45 + j**5/15 - j**4/9 - j**3/9 + j**2/3 + 12*j + 3. Factor k(h).
-2*(h - 1)**3*(h + 1)**2/3
Suppose 5*r - 61 = -51. Let z be ((-6)/(-2))/(6/8). Solve 0*u**3 + 3*u**5 - 2*u**r + 5*u**3 - 6*u**3 + 4*u**z = 0.
-1, 0, 2/3
Let p(v) = 16*v**3 - 139*v**2 - 127*v + 285. Let f(q) = 52*q**3 - 416*q**2 - 380*q + 856. Let a(w) = -5*f(w) + 16*p(w). Suppose a(x) = 0. Calculate x.
-35, -2, 1
Factor -105*p - 12*p**3 + 29*p + 32*p**2 + 16*p**3 + 40.
4*(p - 1)**2*(p + 10)
Let q(u) = -3*u**3 - u**2 + u + 1. Let w(j) = 16*j**3 + 48*j**2 - 204*j - 248. Let f(z) = 12*q(z) + 2*w(z). Factor f(l).
-4*(l - 11)**2*(l + 1)
Let i(z) be the second derivative of z**6/105 - z**5/10 - 4*z**4/21 - 134*z. Determine a, given that i(a) = 0.
-1, 0, 8
Let s = 169 - 157. Let i be s*6/48*2. Solve 0 + 3/4*f**i + 0*f**2 - 3/8*f**5 - 3/8*f + 0*f**4 = 0 for f.
-1, 0, 1
Let f(v) be the third derivative of v**5/36 + 595*v**4/72 + 295*v**3/9 + 2*v**2 + 26. Factor f(m).
5*(m + 1)*(m + 118)/3
Suppose -5*b + 28 + 34 = -3*j, 4*b - 2*j - 50 = 0. Solve 12*i - 2*i**2 - 8*i**3 - b*i**5 + 14*i**5 + i**3 + 8 = 0.
-2, -1, 2
Let y = 53141 - 53138. Factor 6/5*k + 3/5*k**2 - y*k**5 - 39/5*k**4 - 27/5*k**3 + 0.
-3*k*(k + 1)**3*(5*k - 2)/5
Let o(l) be the first derivative of 62*l**5/5 - 281*l**4/2 + 322*l**3 + 745*l**2 - 100*l + 79. Determine k, given that o(k) = 0.
-1, 2/31, 5
Suppose -13 = -23*q - 59. Let a be (-6)/12 + (-1)/q. What is l in -2/5*l**2 + a + 2/5*l = 0?
0, 1
Let y(q) = q**4 + q**3 - 1. Let s(v) = -5*v**4 - 5*v**3 + 7*v**2 + 13*v + 10. Let k(z) = -s(z) - 4*y(z). Suppose k(t) = 0. What is t?
-2, -1, 3
Let n be 11 + (2 - -6) + -4. What is j in -18 + 9*j - j**2 + n + 3*j**3 - 8*j**2 = 0?
1
Let y(q) be the first derivative of 0*q + 3*q**2 - 7/2*q**6 + 14 - 27/5*q**5 + 9*q**3 + 15/4*q**4. Let y(j) = 0. What is j?
-1, -2/7, 0, 1
Let u(a) = -a**3 + 4*a**2 + 2*a - 6. Let g be u(4). Let 21*q - 3 + 0*q**g + 8 + 15*q**2 + 1 = 0. Calculate q.
-1, -2/5
Let i be (-219)/(-54) + (-33)/594. Solve 2/9*m**i + 26/9*m**2 - 8/3*m + 8/9 - 4/3*m**3 = 0.
1, 2
Let h(j) be the first derivative of -j**6/3 + 18*j**5/5 - 15*j**4/2 - 50*j**3/3 + 18. Factor h(n).
-2*n**2*(n - 5)**2*(n + 1)
Let b(t) be the second derivative of t**8/11760 - t**7/1960 + t**6/1260 - 7*t**3/3 - 15*t. Let n(c) be the second derivative of b(c). Solve n(a) = 0.
0, 1, 2
Let d(l) be the second derivative of 0*l**5 - 1/30*l**6 + 0 + 0*l**3 + 0*l**2 - 10*l + 1/12*l**4. Solve d(t) = 0.
-1, 0, 1
Let c(f) be the first derivative of -2*f**3/3 + 9*f**2 + 44*f + 100. Factor c(j).
-2*(j - 11)*(j + 2)