ctor p(i).
-(i - 3)**2
Let k(q) = 11*q**2 + 3*q - 2. Let b be k(1). Suppose 0 = b*t - 4*t. Suppose 0 + t*f**3 + 3/2*f**4 + 3/4*f - 3/4*f**5 - 3/2*f**2 = 0. Calculate f.
-1, 0, 1
Let a be 2*-4 - (-44603)/4888. Suppose a*s + 3/4*s**2 + 1/8*s**3 + 1/2 = 0. What is s?
-4, -1
Factor 14*s + 3672*s**2 - 3680*s**2 + 38 - 164*s.
-2*(s + 19)*(4*s - 1)
Let w(n) be the third derivative of n**5/60 - 5*n**4/12 + 3*n**3/2 + 21*n**2 - 2*n. Suppose w(g) = 0. Calculate g.
1, 9
Suppose 0 = -3*b - b - 2*c + 72, -2*b + 2*c = -48. Suppose -a = -0*a, 5*a = 5*w - b. Factor -4/3*n**2 + 0*n**3 - 2/3*n**5 + 2/3*n + 4/3*n**w + 0.
-2*n*(n - 1)**3*(n + 1)/3
Let v(y) be the second derivative of -y**4/20 - 24*y**3/5 - 864*y**2/5 - 2*y - 122. Suppose v(g) = 0. Calculate g.
-24
Let f(g) = g**3 - 71*g**2 - 145*g - 73. Let c(p) = -2*p**3 + 70*p**2 + 146*p + 74. Let j(d) = 3*c(d) + 2*f(d). Factor j(m).
-4*(m - 19)*(m + 1)**2
Let y(r) be the third derivative of 10*r**2 + 0 + 0*r + 32/3*r**3 + 1/60*r**5 + 2/3*r**4. Factor y(w).
(w + 8)**2
Suppose -5*s + 4*s + 11 = 0. Let n = -8 + s. Factor 2*j**3 + 2*j**2 - 2*j - 2*j**2 - n*j**4 + 3*j**2.
-j*(j - 1)*(j + 1)*(3*j - 2)
Suppose 38 = -32*p + 134. Factor 2/3*w**2 + 2/3*w**p + 0 + 2/9*w**4 + 2/9*w.
2*w*(w + 1)**3/9
What is n in 0 - 6/11*n**2 + 2/11*n**3 + 0*n = 0?
0, 3
Let h = -104 - -141. Let c = 113/3 - h. Let 0 + 1/3*y**2 - 1/3*y**4 + c*y - 2/3*y**3 = 0. What is y?
-2, -1, 0, 1
Let j(m) be the first derivative of 4 - 1/20*m**4 + 0*m + 3/25*m**5 + 1/10*m**2 - 1/5*m**3. Factor j(t).
t*(t - 1)*(t + 1)*(3*t - 1)/5
Let m(n) be the second derivative of 1/60*n**5 - 1/6*n**3 - 1/18*n**4 + 0 - 15*n + 0*n**2. Solve m(j) = 0.
-1, 0, 3
Let l(j) = -j**3 - 48*j**2 - 45*j + 97. Let y be l(-47). Let g(i) be the second derivative of -3/4*i**4 + i**2 + i - 7/6*i**y + 0. Factor g(n).
-(n + 1)*(9*n - 2)
Let f(w) be the second derivative of w**7/63 + 16*w**6/45 + 2*w**5/3 - 200*w**4/9 + 681*w. Find j such that f(j) = 0.
-10, 0, 4
Let v(r) be the second derivative of -r**5/10 + 2*r**4 - 15*r**3 + 50*r**2 - 66*r. Determine x, given that v(x) = 0.
2, 5
Let d(y) be the second derivative of -121*y**5/50 + 99*y**4/20 - 19*y**3/10 + y**2/5 + 13*y - 1. Suppose d(k) = 0. What is k?
1/22, 2/11, 1
Determine m, given that -477/2*m + 60*m**4 + 9/2*m**5 + 69*m**2 - 81 + 186*m**3 = 0.
-9, -3, -2, -1/3, 1
Suppose 5*h - 21 - 19 = 0. Suppose 13*b - h*b = 0. Let b - 24/5*m**3 - 3/5*m**2 - 3*m**4 + 6/5*m = 0. Calculate m.
-1, 0, 2/5
Let 2*u**2 + 40/7 + 8*u - 2/7*u**3 = 0. Calculate u.
-2, -1, 10
Let y(p) be the third derivative of -p**5/140 + 65*p**4/56 - 128*p**2. Find a such that y(a) = 0.
0, 65
Let h = 12 - 12. Suppose -3*b = -h*b - 480. Find o, given that -12*o**3 - b*o**5 - 84*o**4 + 11*o**5 + 2*o**5 = 0.
-2/7, 0
What is v in -4*v**3 + 296*v + 391*v - 2*v**2 - 623*v - 22*v**2 = 0?
-8, 0, 2
Factor -126*w**4 - 80*w**2 + 78*w**4 + 46*w**4 - 44*w**3.
-2*w**2*(w + 2)*(w + 20)
Let f(m) be the first derivative of 10 + 6/7*m**3 + m**2 - 4/7*m. Suppose f(t) = 0. Calculate t.
-1, 2/9
Suppose -6*q = -16*q + 700. Let s be -5 + 0 + -10 + 1170/q. Let -3/7*c**2 - s - 15/7*c = 0. Calculate c.
-4, -1
Let q(f) be the second derivative of f**4/20 + 7*f**3/10 + 3*f**2 + 11*f. What is m in q(m) = 0?
-5, -2
Let k(z) be the third derivative of 1/15*z**6 + 2/15*z**5 + 1/105*z**7 + 0*z + 0*z**3 + 0 + 0*z**4 + 12*z**2. Solve k(y) = 0.
-2, 0
Let p(r) = 74*r**2 + 68*r - 3. Let y be p(-1). Find w such that 0 + 0*w**2 - 8/11*w - 2/11*w**4 + 6/11*w**y = 0.
-1, 0, 2
Let g(y) be the second derivative of -y**7/77 + 19*y**6/165 - 21*y**5/55 + 7*y**4/11 - 19*y**3/33 + 3*y**2/11 + 55*y. Determine d so that g(d) = 0.
1/3, 1, 3
Factor 1/4*u**2 - 7/4*u + 0.
u*(u - 7)/4
Find j, given that 0 + 3/7*j**4 + 36/7*j**3 + 0*j - 39/7*j**2 = 0.
-13, 0, 1
Let g be 8/(-33)*1*(4 - (-24 + 34)). Factor 6/11 + g*o**2 - 8/11*o**3 + 2*o.
-2*(o - 3)*(2*o + 1)**2/11
Find o, given that -8/7*o - 2/21*o**2 - 22/21 = 0.
-11, -1
Let i(q) = 2*q**2 + q - 1. Let w be i(-2). Factor -98 + 3*n**5 + 100 + 20*n**3 + 10*n**4 - n**w + 20*n**2 + 10*n.
2*(n + 1)**5
Let c(a) be the second derivative of a**7/4620 - a**5/660 + a**3/6 - 12*a. Let k(w) be the second derivative of c(w). Factor k(z).
2*z*(z - 1)*(z + 1)/11
Let k(o) = 94*o - 184. Let x be k(2). Find c, given that -1/3*c**x - 4*c**3 - 36*c - 27 - 18*c**2 = 0.
-3
Let z(s) be the third derivative of 1/1260*s**6 + 0*s + 0 + 1/105*s**5 + 1/21*s**4 + s**2 - 1/3*s**3. Let t(k) be the first derivative of z(k). Factor t(x).
2*(x + 2)**2/7
Suppose -4*n + 0 = -20. Solve 3*h**4 + 30*h**2 + 4*h**n - 15*h**4 + 12*h**3 - 34*h**2 = 0.
0, 1
Let j(d) be the second derivative of -d**7/5040 + d**5/240 - 2*d**4/3 - 29*d. Let h(v) be the third derivative of j(v). Factor h(z).
-(z - 1)*(z + 1)/2
Let h(m) be the third derivative of 0 + 0*m**3 + 0*m**4 - 5*m**2 + 0*m + 1/150*m**5. Find b such that h(b) = 0.
0
Suppose 2*g - 1908 = 5*y, 3*g - 5 = 7. Let p = 1906/5 + y. Let -p + 2/5*a**2 - 4/5*a = 0. What is a?
-1, 3
Let 12*h**2 + 179*h**3 + 177*h**3 - 4*h - 12 - 532*h**3 + 180*h**3 = 0. What is h?
-3, -1, 1
Let u(k) be the second derivative of k**6/540 - k**5/45 + k**4/9 - 3*k**3/2 - 5*k. Let b(q) be the second derivative of u(q). Factor b(p).
2*(p - 2)**2/3
Let o be (-118)/(-28) - (-10)/35. Let r = -1309/2 + 655. Solve o + 3*n + r*n**2 = 0 for n.
-3
Factor 18/7*s**2 + 3/7*s**3 + 12/7 + 27/7*s.
3*(s + 1)**2*(s + 4)/7
Suppose 4*y = -15*l + 17*l + y, 0 = 2*y + 3*y. Factor -1/5*s**5 + l - 3/5*s**4 + 0*s**2 - 2/5*s**3 + 0*s.
-s**3*(s + 1)*(s + 2)/5
Let u(v) = -3*v**3 + 3*v**2 + 3*v + 6. Let k(i) = i**4 + i**3 - 2*i**2 - 2*i - 4. Let f(b) = 3*k(b) + 2*u(b). Solve f(t) = 0 for t.
0, 1
Let -3*d + 3/2*d**5 + 0*d**3 - 51/4*d**2 + 21/4*d**4 + 9 = 0. What is d?
-2, -3/2, 1
Let h(x) be the first derivative of -1/4*x + 2 + 3/8*x**2 + 1/16*x**4 - 1/4*x**3. Factor h(l).
(l - 1)**3/4
Let b = -99 - -101. Suppose -5*t - 11 = -b*w, t = -w - 4*w + 14. Factor -5*k**w - 5/2*k - 5/2*k**4 - 5*k**2 - 1/2*k**5 - 1/2.
-(k + 1)**5/2
Let r(u) be the second derivative of u**4/90 + u**3/5 - 2*u**2/3 - 239*u. Solve r(o) = 0.
-10, 1
Let k = -6388 + 6390. Suppose 0 + 2/3*l + 2/9*l**k = 0. What is l?
-3, 0
Let d(b) be the first derivative of -16 + 2/7*b**2 + 6/7*b + 2/35*b**5 - 8/21*b**3 - 1/7*b**4. Factor d(k).
2*(k - 3)*(k - 1)*(k + 1)**2/7
Let k = -1050 + 5194/5. Let z = k - -12. Determine q so that 0*q**2 - 2/5 - 4/5*q**3 + 2/5*q**4 + z*q = 0.
-1, 1
Determine f so that 228/5*f**3 - 448/5*f + 16/5 - 236/5*f**2 = 0.
-1, 2/57, 2
Let u = 7117/210 - 39/70. Determine m so that -40/9*m**3 + 1250/9 + 2/9*m**4 + u*m**2 - 1000/9*m = 0.
5
Let j(c) = c**3 + 3*c**2 - 27*c - 79. Let w be j(-3). Factor 0 - 5*a + 5/4*a**w.
5*a*(a - 4)/4
Let x(c) = -c**3 + 11*c**2 + 11*c + 18. Let q be x(12). Let -36*b**2 - 9*b - 29*b**3 + q + 51*b**3 - 43*b**3 = 0. Calculate b.
-1, 2/7
Let y(l) = 6*l**3 + 609*l**2 - 1296*l + 651. Let x(h) = -h**3 - 87*h**2 + 185*h - 93. Let i(f) = -15*x(f) - 2*y(f). Factor i(o).
3*(o - 1)**2*(o + 31)
Let v(c) be the first derivative of c**6/18 - c**5/5 - c**4/4 + 7*c**3/9 + c**2 + 187. Find d, given that v(d) = 0.
-1, 0, 2, 3
Let x(r) be the first derivative of 5*r**6/6 - 268*r**5 + 30365*r**4 - 3877280*r**3/3 + 7047040*r**2 - 13629440*r - 78. Solve x(p) = 0 for p.
2, 88
Let u(l) be the second derivative of 5/4*l**4 - 5/4*l**3 + 3/4*l**2 + 1/4*l**6 - 1/28*l**7 - 3/4*l**5 + 5*l + 0. Factor u(f).
-3*(f - 1)**5/2
Suppose 192 = 56*v + 40*v. Suppose 0 - 3/4*t**v + t = 0. Calculate t.
0, 4/3
Let v(u) be the first derivative of 1/2*u - 3/8*u**2 - 3 + 1/12*u**3. Factor v(z).
(z - 2)*(z - 1)/4
Let d(m) be the first derivative of -35*m**3/12 - 425*m**2/4 - 60*m - 433. Factor d(j).
-5*(j + 24)*(7*j + 2)/4
Let c(t) be the first derivative of t**6/18 - 2*t**5/5 - t**4/12 + 2*t**3/3 - 47. Factor c(n).
n**2*(n - 6)*(n - 1)*(n + 1)/3
Suppose 18 = -8*n + 42. Let q(t) be the third derivative of 1/3*t**n + 3*t**2 + 1/20*t**6 + 0 + 7/30*t**5 + 5/12*t**4 + 0*t. Factor q(k).
2*(k + 1)**2*(3*k + 1)
Suppose -2*d = -3*q + 5, 4*q - 5 + 1 = 4*d. Let 10 + 4*y + 1 - 11 - d*y**2 = 0. Calculate y.
0, 2
Suppose u = -0*u + 2*u. Solve u - 829*o**4 - 60*o**2 + 821*o**4 - 46*o**3 + 18*o + 0 = 0.
-3, 0, 1/4
Let w(z) be the second derivative of 0 + 0*z**2 - 3/10*z**5 - 8*z +