-d*(d - 1)**2*(d + 1)**2
Let d(m) be the second derivative of m**4/24 - m**3/6 + m**2/4 - 123*m. Factor d(c).
(c - 1)**2/2
Let i be (-18)/10*300/(-90). Let d(p) = -p**2 + 7*p + 10. Let u(a) = -a. Let k(c) = i*u(c) - 3*d(c). Factor k(b).
3*(b - 10)*(b + 1)
Let h = 109 - 91. Let p be ((-6)/18)/((-2)/h) + -1. Let 2/5*g**p + 0*g - 8/5 = 0. Calculate g.
-2, 2
Let i be (505/2727)/((-10)/(-6)). Factor -i*q**3 + 5/9 + 1/3*q**2 + q.
-(q - 5)*(q + 1)**2/9
Factor -8/9*b**2 + 2/3 - 4/9*b**3 + 2/9*b**4 + 4/9*b.
2*(b - 3)*(b - 1)*(b + 1)**2/9
Let f(b) be the first derivative of -5*b**6/6 - 9*b**5 - 145*b**4/4 - 215*b**3/3 - 75*b**2 - 40*b + 156. Determine y, given that f(y) = 0.
-4, -2, -1
Factor 82*c - 3*c**2 + 95*c - 129*c.
-3*c*(c - 16)
Let l(j) be the second derivative of 5*j**7/42 - 2*j**5 - 5*j**4/2 + 35*j**3/6 + 15*j**2 - 2*j + 12. Determine w so that l(w) = 0.
-2, -1, 1, 3
Let d(c) be the first derivative of -3*c**4/8 - 3*c**3/2 - 9*c**2/4 - 3*c/2 + 269. What is y in d(y) = 0?
-1
Suppose 3*g + 13 = -5*z, 4*z = -2*g - 0*z - 10. Let h(f) = -f**2 - 1. Let o(d) = -4*d**2 - 22*d + 116. Let p(y) = g*o(y) + 5*h(y). Solve p(x) = 0.
11
Let y be (-6)/4*(-4 + 2). Suppose -h + r = -y, r = -9*h + 4*h - 3. Factor 2*n**2 + h*n**2 + 3*n - 3*n.
2*n**2
Suppose 41 = 4*t - 3. Let d be t/(-3) + (-24)/(-6). Factor 0 + 2/3*c**2 + d*c**3 + 1/3*c.
c*(c + 1)**2/3
Let c(k) be the third derivative of 0*k**3 + 0*k**4 + 0*k - 1/140*k**6 - 21*k**2 - 2/35*k**5 + 0. Factor c(o).
-6*o**2*(o + 4)/7
Suppose 2*j - 5*x - 20 = 3*j, -16 = -2*j + 4*x. Let y(d) be the second derivative of 1/42*d**4 + j + 4/21*d**3 + 3/7*d**2 + 6*d. Factor y(k).
2*(k + 1)*(k + 3)/7
Let i = 1489/63 + -205/9. Let f(a) be the first derivative of -11 + i*a**2 - 2/21*a**3 - 18/7*a. What is n in f(n) = 0?
3
Let x(n) be the second derivative of -3/4*n**2 + 3/10*n**5 + 0 + 0*n**4 - n - 3/4*n**3. Suppose x(y) = 0. What is y?
-1/2, 1
Let d = -58328 + 58328. Let r(q) = -q**3 + 5*q**2 + 5*q + 6. Let i be r(6). Factor d - 4/3*f**2 + i*f.
-4*f**2/3
Let k(a) be the second derivative of -a**5/40 + 5*a**4/12 - 13*a**3/12 - 6*a**2 + 112*a. Factor k(b).
-(b - 8)*(b - 3)*(b + 1)/2
Factor 1/4*a**3 + 5/4*a**2 + 3/2*a + 0.
a*(a + 2)*(a + 3)/4
Let k(d) be the third derivative of -d**5/20 + d**4/2 + 2*d**2 - 12. Suppose k(v) = 0. Calculate v.
0, 4
Let l(i) be the first derivative of -1/9*i**3 - 5 + 4*i + 1/36*i**4 - 1/2*i**2. Let r(t) be the first derivative of l(t). Suppose r(n) = 0. Calculate n.
-1, 3
Let k(f) = -10*f**2 + 3*f - 7. Let i be k(3). Let w = i - -90. Factor 1/3*p**3 - 1/3*p + 2/3 - 2/3*p**w.
(p - 2)*(p - 1)*(p + 1)/3
Let x be (86/(-11) - -8) + 3661/11. Let n = x - 665/2. Solve 1/2*j**2 + 0*j + 1/2*j**3 - 1/2*j**5 + 0 - n*j**4 = 0.
-1, 0, 1
Let b(p) = -7*p**3 - 7*p**2. Let q(x) = -8*x**3 - 8*x**2 + 1. Let u(o) = -7*b(o) + 6*q(o). Let l(d) = 1. Let k(f) = -6*l(f) + u(f). Factor k(m).
m**2*(m + 1)
Suppose 2*b - b = t - 3, -b = 2*t - 12. Factor -10 - 3*s - 5*s**3 - 16*s**2 - 22*s + 0*s**b - 4*s**2.
-5*(s + 1)**2*(s + 2)
Let y = 1282 - 6408/5. Find s, given that -2/5*s + 4/5*s**2 - y*s**5 + 4/5*s**3 - 2/5 - 2/5*s**4 = 0.
-1, 1
Let b be (-18)/(5 - 2) + 5. Let v(i) = 2*i**2 + 2*i + 3. Let k be v(b). Suppose 0*d + 0 - 4/9*d**2 - 2/9*d**k = 0. What is d?
-2, 0
Factor 7 + 15/2*g + 1/2*g**2.
(g + 1)*(g + 14)/2
Suppose 2*w - 107 = -99. Let d(j) be the first derivative of 2/11*j**3 + 1/22*j**w - 4 + 3/11*j**2 + 2/11*j. Suppose d(t) = 0. Calculate t.
-1
Let r(z) be the first derivative of -5/4*z**4 + 105/2*z**2 - 55*z - 15*z**3 - 46. Determine t so that r(t) = 0.
-11, 1
Let w be (3 + -3)*(0 - 1). Suppose w = 5*y - 60 + 20. Solve y*n - 4*n + 4*n**3 - 11*n**2 + 3*n**2 = 0.
0, 1
Factor 3437*d - 42*d**2 - 3*d**2 - 3581*d - 3*d**3 - 132 + 0*d**2.
-3*(d + 2)**2*(d + 11)
Suppose -w = -2*c + 9, 3*c - 5*w + 4 = 21. Solve 23*k - 147*k**5 + 108*k**3 + 258*k**3 + k + 7*k**c - 180*k**2 - 70*k**4 = 0.
-2, 0, 2/7, 1
Suppose 3*z = p - 0*p + 10, 45 = 5*z + 4*p. Suppose 6*y - 2 = z*y. Factor -9*l**y + 6*l**3 + 8*l + l**3 - 3*l**2 - 3*l**3.
4*l*(l - 2)*(l - 1)
Let q = 14027/115 - 609/5. Determine l, given that -2/23*l**2 - q*l + 0 = 0.
-2, 0
Suppose 0 + 1/2*v**4 - v**2 + 0*v + 1/2*v**3 = 0. What is v?
-2, 0, 1
Let a = 230/3 + -76. Let l be 7/21*-11 - -4. Solve 0 + 0*s**3 + a*s**2 - 1/3*s**5 - 2/3*s**4 + l*s = 0 for s.
-1, 0, 1
Let p(i) be the third derivative of 0*i - 12*i**2 - 1/1008*i**8 + 0*i**3 + 0 + 1/24*i**4 + 1/60*i**6 - 2/45*i**5 + 0*i**7. Factor p(w).
-w*(w - 1)**3*(w + 3)/3
Let k(j) = -2*j**3 + 13*j**2 + 3*j + 2. Let y(m) = m**3 - m. Let x(i) = k(i) + 3*y(i). Let b be x(-13). Factor -32/3 - 2/3*h**b - 16/3*h.
-2*(h + 4)**2/3
Let u = -125 + 122. Let t be (-7 - 2)/u - 11/(-55). Factor t + 4/5*y**2 + 4*y.
4*(y + 1)*(y + 4)/5
Let x(z) be the first derivative of -z**7/1050 + z**6/300 - z**4/60 + z**3/30 + 7*z**2/2 - 9. Let g(u) be the second derivative of x(u). Factor g(n).
-(n - 1)**3*(n + 1)/5
Let s(t) be the second derivative of -t**4/30 - 7*t**3/5 + 22*t**2/5 - 119*t. Let s(z) = 0. What is z?
-22, 1
Let x be (-344)/2752*(-32)/14. Factor 2/7 - 2/7*g + x*g**3 - 2/7*g**2.
2*(g - 1)**2*(g + 1)/7
Let s(m) = -6*m - 10. Let z be s(-2). Let q = 2 - 0. Suppose 4*x**z + q*x**4 - 8*x**3 - x**5 + 0*x**5 + 3*x**4 = 0. What is x?
0, 1, 2
Let r(a) be the second derivative of -2*a**7/21 + 2*a**5/5 - 2*a**3/3 - a + 40. Factor r(w).
-4*w*(w - 1)**2*(w + 1)**2
Let v(z) be the third derivative of -z**6/300 - 17*z**5/150 - 4*z**4/3 - 64*z**3/15 - 8*z**2 + 2*z. Determine n so that v(n) = 0.
-8, -1
Factor -1/7*f**3 - 31/7*f - 11/7*f**2 - 3.
-(f + 1)*(f + 3)*(f + 7)/7
Suppose 0 = 5*s + 30, 181 = 5*j + 3*s + 184. Suppose 4/15*w + 6/5*w**j + 2/15*w**5 + 0 - 2/3*w**4 - 14/15*w**2 = 0. What is w?
0, 1, 2
Let k(t) be the second derivative of t**5/20 - t**4/10 + t + 47. Solve k(q) = 0.
0, 6/5
Let y(i) = i**3 - 2*i**2 - 31*i - 26. Let a be y(-4). Factor -4/9*v**3 - 2/9*v**a + 2/9*v**4 + 4/9*v + 0.
2*v*(v - 2)*(v - 1)*(v + 1)/9
Let u = 407 + -403. Let w(i) be the second derivative of -11/30*i**5 + 0*i**2 + 22/135*i**6 - 5/189*i**7 - 4/27*i**3 + 10/27*i**u + 2*i + 0. Solve w(a) = 0.
0, 2/5, 1, 2
Let y(h) be the third derivative of h**5/210 - 5*h**4/42 + 16*h**3/21 + h**2 + 12. Factor y(o).
2*(o - 8)*(o - 2)/7
Suppose -121*m = -125*m + 24. Let r(l) be the second derivative of -1/10*l**5 + 3*l + 1/21*l**7 + 0*l**3 + 0*l**2 + 0 + 1/6*l**4 - 1/15*l**m. Factor r(i).
2*i**2*(i - 1)**2*(i + 1)
Let r(q) be the first derivative of -7 + 1/3*q - 1/18*q**3 - 1/12*q**2. Let r(x) = 0. What is x?
-2, 1
Let k = -4059 + 4059. Let 0 + k*y + 2/7*y**3 + 0*y**2 = 0. Calculate y.
0
Let d(h) = 5*h - 2*h + 4*h**2 + 3 - 1 - h**3. Suppose -4*j + 2*j = -102. Let f(n) = -9*n**3 + 33*n**2 + 25*n + 17. Let r(l) = j*d(l) - 6*f(l). Factor r(z).
3*z*(z + 1)**2
Let k = -45498 + 228701/5. Let n = -241 + k. Factor 0 - 2/5*b**4 - 2/5*b - n*b**3 - 6/5*b**2.
-2*b*(b + 1)**3/5
Let w(o) be the second derivative of -17/4*o**3 - 1/4*o**4 + 0 - 17*o + 27/4*o**2. Factor w(n).
-3*(n + 9)*(2*n - 1)/2
Let y(d) = 2*d**4 - 3*d**3 + d - 1. Let o(c) = -3*c**4 - 2*c**3 + 3*c**2 + 12*c - 9. Let u(m) = -5*o(m) - 5*y(m). Factor u(q).
5*(q - 1)**2*(q + 2)*(q + 5)
Let s = -2 - -5. Suppose -a - q = -5, -4*q + 15 - s = 2*a. Find j such that -4/5*j**2 + 0 - 1/5*j**a + 4/5*j**3 + 0*j = 0.
0, 2
Let b be ((-10557)/(-630))/(-17) - 1*-1. Let t(f) be the second derivative of -2*f + 1/7*f**2 + 1/21*f**3 + 0 - b*f**5 - 1/42*f**4. Find v, given that t(v) = 0.
-1, 1
Let h(a) be the first derivative of -a**6/18 + a**5/6 + 35*a**4/36 + 10*a**3/9 - 40*a - 22. Let v(j) be the first derivative of h(j). Factor v(y).
-5*y*(y - 4)*(y + 1)**2/3
Let y be -10 - (-104)/(8/1). Factor 11/4*m**y - 3/4*m**4 + 0 + 0*m + m**2.
-m**2*(m - 4)*(3*m + 1)/4
Let d(f) = -14*f**5 - 2*f**4 + 16*f**3 - 8*f**2 - 12*f + 30. Let y(n) = -n**5 - n**4 + 3. Let r(g) = d(g) - 10*y(g). Determine v so that r(v) = 0.
-1, 0, 1, 3
Suppose 0 = -h - 0*h - 5*i + 43, 0 = 3*h + 5*i - 79. Let z = h - 12. Factor n**4 - 4*n**5 + 3*n**5 + z*n**2 - 6*n**2.
-n**4*(n - 1)
Let f(v) = 6*v**3 - 9*v**2 + 15*v - 9. Suppose -4*i + 16 = -2*i. Let g(s) = -17*s**3 + 28*s**2 - 45*s + 26. Let d(z) = i*f(z) + 3*g(z). Let d(t) = 0. What is t?
1, 2
Suppose 3*z - 3*z + 6*z = 0. Let x = 1930/3 - 638. Facto