t i(n) = 0.
0, 34
Let g(c) be the second derivative of -23/4*c**5 - 65/6*c**3 - 45/4*c**4 - 7/6*c**6 - 23*c - 5*c**2 + 0. What is d in g(d) = 0?
-1, -2/7
Let d(f) be the first derivative of -4*f**3/3 + 16*f**2 + 65. Factor d(q).
-4*q*(q - 8)
Let f(q) be the third derivative of q**6/1620 + q**5/180 + q**4/54 - q**3/3 + 10*q**2. Let g(j) be the first derivative of f(j). Let g(h) = 0. Calculate h.
-2, -1
Let k(q) = q**3 + 5*q**2 - 26*q + 6. Let i(b) = -b**2 + 3*b + 1. Let w(m) = 6*i(m) + k(m). Suppose w(n) = 0. Calculate n.
-3, 2
Let s(w) = -3*w**3 + 2*w**2 - 4*w - 10. Let a be s(-2). Let -5*n**2 - 11*n**4 + a*n + 3*n**3 - 23*n**3 + 6*n**4 = 0. What is n?
-3, -2, 0, 1
Suppose -2*v + 52 = 2*p, -3*p = 3*v - 2*p - 84. Let t = v - 25. Factor 0*h + 3/5*h**3 + 3/5*h**t + 0*h**2 + 0.
3*h**3*(h + 1)/5
Suppose -8*c + 5*c + 3*i + 3 = 0, -13 = -c - 2*i. Let l(g) be the second derivative of 0*g**2 + 0 - g**3 - 3/4*g**4 + 1/10*g**6 + 0*g**c - 5*g. Factor l(d).
3*d*(d - 2)*(d + 1)**2
Suppose -3*b - 2*f + 22 = 4, 0 = b + f - 7. Let w = 1 + b. Solve 0 + 0*m**4 + 0*m**2 + 0*m + 2/5*m**w - 2/5*m**3 = 0.
-1, 0, 1
Let n be (-148 + 148)*(0 + -1*1). Factor n + 4/13*a + 6/13*a**2 + 2/13*a**3.
2*a*(a + 1)*(a + 2)/13
Let q = -334 + 334. Suppose -6*k - 4 + 22 = q. Suppose 3/2*a + 0 + 3*a**2 + 3/2*a**k = 0. Calculate a.
-1, 0
Let l(u) = -u**3 + 10*u**2 + 27*u - 18. Let s be l(12). Factor s*i - 2*i + 5*i**2 - 10*i**3 - i.
-5*i*(i + 1)*(2*i - 3)
Suppose -2*s - 25 = 5*d, 4 - 19 = 2*s + 3*d. Suppose -2*q + q + 2 = s. Find b such that b**4 + 0*b**4 + b**2 + 0*b**2 - 2*b**4 + 2*b - q*b**3 = 0.
-2, -1, 0, 1
Let f = -261/28 - -309/28. Let p = -2 + 2. Suppose 3/7*g**2 - f*g + p = 0. Calculate g.
0, 4
Let d be 47/9 + 4/(-18). Suppose -18 = -2*p - 10. Factor -2*g**2 - p*g**4 + 4*g**4 + d*g**3 + 2*g**3 - 5*g**4.
-g**2*(g - 1)*(5*g - 2)
Let b = -40 + 45. Suppose -4*u + 7*u = -w, b*w - u = 0. Find k, given that -3/7*k**3 + 0*k - 6/7*k**4 + w + 0*k**2 - 3/7*k**5 = 0.
-1, 0
Let c(l) be the second derivative of -3*l**5/100 + 13*l**4/20 + 2*l + 3. Factor c(z).
-3*z**2*(z - 13)/5
Let r(w) = -7*w + 68. Let j be r(9). Suppose -20/7*z**3 - 4/7*z**4 + 4/7*z**2 + 16/7 + 4/7*z**j + 32/7*z = 0. What is z?
-1, 2
Suppose -5*n - 3*r + 32 = 0, -2*r + 8 = 3*n - 12. Determine b, given that -b - 4*b**4 - 2*b**2 + 0*b**n + 2*b**4 + 4*b**2 + b**5 = 0.
-1, 0, 1
Let n(c) be the third derivative of c**6/840 - 11*c**5/28 + 3025*c**4/56 - 166375*c**3/42 - 7*c**2 - 31*c. Factor n(v).
(v - 55)**3/7
Let -132*c - 3/5*c**2 - 7260 = 0. Calculate c.
-110
Let u(n) be the first derivative of -2*n**3 + 7 - 3*n - 1/3*n**4 - 4*n**2. Let c(k) be the first derivative of u(k). Determine i, given that c(i) = 0.
-2, -1
Let w be -12 + (9 - (-39)/13). Let m be -2 + (-2)/34*-36. Suppose 0 + 0*h**2 + m*h**3 - 2/17*h**4 + w*h = 0. Calculate h.
0, 1
Suppose 26 = 2*l + 4*b + 2, -3*l + 31 = 5*b. Suppose -3*x = -l*x - 3. Find m, given that 4*m**4 - 3*m**3 + 2*m**4 + 0*m**4 - x*m**2 = 0.
-1/2, 0, 1
Let h(o) = -o**4 + 7*o**3 + 7*o**2 - 7*o - 3. Let i(u) = 8*u**3 + 8*u**2 - 8*u - 4. Let l be 0 + (-7 - (-12)/4). Let q(t) = l*h(t) + 3*i(t). Factor q(f).
4*f*(f - 1)**2*(f + 1)
Let m be 722/420 - 9/(-54) - 10/35. Suppose -2/5*j**2 + m*j - 6/5 = 0. What is j?
1, 3
Let 0*k + 0 + 2/7*k**3 + 2*k**2 = 0. What is k?
-7, 0
Let v(a) be the first derivative of -a**6/240 + a**5/20 - a**4/4 + 20*a**3/3 - 22. Let w(p) be the third derivative of v(p). Suppose w(l) = 0. Calculate l.
2
Let n(l) = 7*l**3 + 11*l**2 - 6*l + 8. Let i(p) = -12*p**3 - 21*p**2 + 13*p - 14. Let h(y) = -4*i(y) - 7*n(y). Factor h(d).
-d*(d - 5)*(d - 2)
Factor -6*f**4 + 13*f**4 + f**4 + 24*f**2 - 5*f**4 - 12*f - 15*f**3.
3*f*(f - 2)**2*(f - 1)
Let r(i) = 2*i**2 - 44*i - 146. Let f be r(-3). Factor 0*y**2 + 2/3*y**f + 0*y + 0 + 4/21*y**3.
2*y**3*(7*y + 2)/21
Let m(c) = 30*c**4 - 25*c**3 + 60*c**2 + 10*c - 25. Let i(j) = 2*j**4 + j**2 - 1. Let y(h) = -25*i(h) + m(h). Factor y(k).
-5*k*(k - 1)*(k + 2)*(4*k + 1)
Let u(m) be the third derivative of -m**6/420 + m**5/210 + m**4/84 - m**3/21 - 10*m**2 - m. Determine j, given that u(j) = 0.
-1, 1
Let r(z) = -z**4 + z**3 + z**2 - z + 1. Let c(a) = a**4 + 13*a**3 + 47*a**2 - 85*a - 123. Let k(o) = c(o) + 3*r(o). Find t, given that k(t) = 0.
-3, -1, 2, 10
Suppose -28 = -6*g - g. Suppose -g*w + 1 + 7 = 0. What is a in 0*a + 0 - 1/3*a**3 - 1/3*a**w = 0?
-1, 0
Let s(i) be the first derivative of -5 - 1/3*i**4 - 1/10*i**5 - 3*i + 0*i**2 + 4/3*i**3 + 1/30*i**6. Let l(d) be the first derivative of s(d). Factor l(z).
z*(z - 2)**2*(z + 2)
Factor 2217*n - 2244*n + 6*n**2 + 3*n**3 - 42 + 12*n**2.
3*(n - 2)*(n + 1)*(n + 7)
Let w(g) = -18*g**2 - 12*g + 3. Let f(l) = l**2 + l - 1. Suppose -2*s - 5*z = 11, 2*s = 2*z + z - 3. Let m(r) = s*f(r) + w(r). Find t such that m(t) = 0.
-1, 2/7
Let u = 5 - 2. Suppose 0*x + x - 16 = -d, 5*x - 42 = -u*d. Let 7*o**2 - 3*o**2 - 2*o + 17*o**3 - d*o**3 = 0. What is o?
0, 1
Let j be 0 + 8 - 2/(-1). Find y, given that 0*y**2 + 0*y + j*y + 4*y**2 + 11*y**2 = 0.
-2/3, 0
Let g = 2723742/18605 + 6/3721. Let k = g + -146. Factor -1/5*v**2 - 3/5*v - k.
-(v + 1)*(v + 2)/5
Let w(r) be the second derivative of 7*r**5/4 - 235*r**4/12 + 70*r**3/3 + 30*r**2 - 2*r - 16. Let w(u) = 0. Calculate u.
-2/7, 1, 6
Let h(a) be the first derivative of a**3/18 + a**2/12 - a/3 - 288. Factor h(p).
(p - 1)*(p + 2)/6
Let g be (-69)/(-207) - ((-46)/15 + 1). Let c be (-2)/3*9/(-15) + 2. Factor c*l**3 - 3/5*l**4 + 0 + 0*l - g*l**2.
-3*l**2*(l - 2)**2/5
Let o(m) = 8*m**2 + 235*m - 554. Let q(u) = -4*u**2 - 118*u + 276. Let j(x) = 6*o(x) + 13*q(x). Factor j(s).
-4*(s - 2)*(s + 33)
Let f(c) = -4*c + 104. Let l be f(26). Let o(z) be the second derivative of -1/40*z**5 + 0*z**2 + 0 + 1/24*z**4 + l*z**3 - 5*z. Find d such that o(d) = 0.
0, 1
Let d = -1/322 - -655/3542. Factor 0*s - 2/11 + d*s**2.
2*(s - 1)*(s + 1)/11
Let k be 12/32 - (-150)/(-16). Let m(q) = -q**2 - 10*q + 6. Let a be m(k). Factor -2*g + a*g**3 + 7*g + 16*g**4 - 21*g**4 - 15*g**2.
-5*g*(g - 1)**3
Let b(s) = -s**2 - 4*s - 1. Suppose 0*j - 2*j - 6 = 0. Let x(u) = -6*u**2 - 20*u - 6. Let r(a) = j*x(a) + 16*b(a). Suppose r(p) = 0. Calculate p.
1
Let y(c) be the third derivative of 5/8*c**4 + 0*c + 1/12*c**5 - 10/3*c**3 + 0 - 19*c**2. Solve y(a) = 0 for a.
-4, 1
Suppose -13 - 3 = -4*l. Find k such that 6*k**4 + 15*k**2 + 68*k - 2*k**l - k**4 - 74*k - 12*k**3 = 0.
0, 1, 2
Let j(t) = 2*t**3 + 10*t**2 - 3*t - 12. Let b be j(-5). Suppose -5*z + 2*g + 25 = 0, -7 - 17 = -3*z + b*g. Solve 12/7*l**2 + 2/7*l**z + 24/7*l + 16/7 = 0 for l.
-2
Let s(w) be the second derivative of 7*w**6/900 + w**5/75 - w**4/20 - 7*w**3/6 + 9*w. Let d(v) be the second derivative of s(v). Factor d(x).
2*(x + 1)*(7*x - 3)/5
Let i(f) = 2*f**3 - 87*f**2 - 17*f + 303. Let a(c) = c**3 - 91*c**2 - 16*c + 304. Let q(l) = -3*a(l) + 4*i(l). Factor q(s).
5*(s - 15)*(s - 2)*(s + 2)
Let x(z) be the second derivative of 1/84*z**7 + 14*z + 0*z**2 + 1/5*z**5 - 1/6*z**4 - 1/12*z**6 + 0 + 0*z**3. Let x(k) = 0. What is k?
0, 1, 2
Solve -9/4 - 9/2*a**3 + 1/4*a**5 + 1/2*a**2 + 7/4*a**4 + 17/4*a = 0 for a.
-9, -1, 1
Suppose 489*m = 17*m - 39*m + 1022. Find d such that 0 - 4/5*d + 2*d**4 + 4/5*d**3 - 2*d**m = 0.
-1, -2/5, 0, 1
Let g(w) = 2*w**4 + 45*w**3 + 15*w**2 - 28*w + 17. Let p(u) = -u**4 - 15*u**3 - 5*u**2 + 9*u - 6. Let r = 112 + -106. Let j(b) = r*g(b) + 17*p(b). Factor j(z).
-5*z*(z - 3)*(z - 1)*(z + 1)
Let r(d) be the second derivative of d**6/25 + 7*d**5/25 - d**4/6 + 36*d. Factor r(k).
2*k**2*(k + 5)*(3*k - 1)/5
Let v = -12 - -17. Let -4*s + 3*s**2 + 4 + 2 + v*s - 10*s = 0. Calculate s.
1, 2
Let i be (-2)/6 + (-111)/(-333). Let b(x) be the second derivative of 5/12*x**4 - x**2 + 1/10*x**5 + 1/6*x**3 + i + 2*x. Factor b(h).
(h + 1)*(h + 2)*(2*h - 1)
Let l(g) be the first derivative of -g**4/2 - 4*g**3/3 + 19*g**2 + 40*g - 201. Factor l(c).
-2*(c - 4)*(c + 1)*(c + 5)
Let b(i) be the third derivative of -i**5/3 + 7*i**4/3 + 2*i**3 + 72*i**2. Factor b(h).
-4*(h - 3)*(5*h + 1)
Let u(i) be the third derivative of i**5/180 - 13*i**4/18 - 53*i**3/18 + i**2 - 226. Solve u(b) = 0 for b.
-1, 53
Let r be ((-4)/20)/(4/(-16)*2). Factor 0*w - r*w**3 + 0 + 0*w**2 + 2/5*w**5 + 0*w**4.
2*w**3*(w - 1)*(w + 1)/5
Let j(i) be the third derivative of i**6/1080 