*2 + 14*h + 13. Let n be x(-1). Let s(t) be the first derivative of -1/9*t**2 + 0*t + 1/27*t**6 - 8 + 4/27*t**3 - 4/45*t**5 + n*t**4. Factor s(y).
2*y*(y - 1)**3*(y + 1)/9
Suppose 76*b = 73*b + 15. Suppose 0 = 2*d - b*d. Determine j so that 1/2*j**5 + 0 + 1/2*j**4 + 0*j**2 + 0*j**3 + d*j = 0.
-1, 0
Let l(s) = -s**2 - 29*s - 16. Let r be l(-19). Let q be r/18 + 1 - 6. Find m, given that 0 + q*m**5 + 16/3*m**2 - 68/9*m**4 - 8/9*m - 6*m**3 = 0.
-1, 0, 2/7, 1/3, 2
Let o(x) be the second derivative of x**6/75 - 3*x**5/50 + x**4/10 - x**3/15 - 57*x - 1. Factor o(r).
2*r*(r - 1)**3/5
Let q be ((-2)/3)/((-13)/(-156)*-2). Let h(t) be the first derivative of -1/4*t**q - 1/5*t**5 + 3 + 0*t + 1/3*t**3 + 1/2*t**2. Suppose h(r) = 0. Calculate r.
-1, 0, 1
Let i(r) be the second derivative of -4*r - 1/5*r**4 - 3/100*r**5 + 0 - 1/2*r**3 - 3/5*r**2. Factor i(h).
-3*(h + 1)**2*(h + 2)/5
Let v(j) be the third derivative of -j**5/30 + j**4/2 - 8*j**3/3 - 44*j**2 + 1. Suppose v(f) = 0. Calculate f.
2, 4
Let z(c) be the second derivative of -c**6/120 - c**5/10 + c**4/6 + 4*c**3 - 18*c**2 - 199*c. Factor z(p).
-(p - 2)**2*(p + 6)**2/4
Let i(g) be the second derivative of g**7/1260 + g**6/15 + 12*g**5/5 - 13*g**4/6 - 13*g. Let s(l) be the third derivative of i(l). Factor s(w).
2*(w + 12)**2
Let v be 2/17 - (22 - (-3384)/(-136)). Factor 4*i**2 + 0 - 1/2*i**v + 2*i - i**4.
-i*(i - 2)*(i + 2)*(2*i + 1)/2
Factor 1/2*z**4 + 0 - 3/2*z**2 - z**3 + 0*z.
z**2*(z - 3)*(z + 1)/2
Factor 17*z - 12 + 1/2*z**3 - 11/2*z**2.
(z - 6)*(z - 4)*(z - 1)/2
Find g, given that -2/9 - 2/9*g**2 + 4/9*g = 0.
1
Let a be (-28)/(-56) + (-5)/(-6). Factor -32/9*x**2 + 2*x + 2/9*x**5 - a*x**4 + 28/9*x**3 - 4/9.
2*(x - 2)*(x - 1)**4/9
Let w(a) be the second derivative of -a**5/30 + a**4/9 - a**3/9 - 78*a. Let w(m) = 0. What is m?
0, 1
Let i(l) be the second derivative of -l**5/190 - 7*l**4/114 + 17*l**3/57 - 9*l**2/19 - 504*l. Factor i(u).
-2*(u - 1)**2*(u + 9)/19
Suppose 0 = 5*z + 9 - 4, -5*r - 2*z = -8. Let w be 2/7 - (-132)/28. Find y such that -2*y + 0*y**3 + 3 - 3*y**r - 3*y**3 + w*y = 0.
-1, 1
Let j(d) = 8*d + 100. Let i be j(10). Let h = 183 - i. Suppose -6/13*w**h + 0*w**2 + 2/13*w**4 + 0*w + 0 = 0. What is w?
0, 3
Suppose 0 = -3*b + 2 + 4. Suppose 4*t = -4, 3*t - 2*t + 9 = 2*c. What is x in 6*x**b - 7*x**2 - 3*x**2 + c*x**4 = 0?
-1, 0, 1
Let m(b) be the third derivative of b**6/420 - 51*b**5/14 + 65025*b**4/28 - 5527125*b**3/7 - 559*b**2. Factor m(o).
2*(o - 255)**3/7
Factor 16/7*n - 6/7 - 4/7*n**3 - 6/7*n**2.
-2*(n - 1)*(n + 3)*(2*n - 1)/7
Let d be (-78)/(-8) - 4/(-16). Let z = 16 - d. Determine q, given that -z + 4 - 2*q**3 - 5*q - q - 6*q**2 = 0.
-1
Let h be -1 - (-3 - -4)*-4. Let d(s) be the first derivative of 1/16*s**4 + s + 1 + s**2 + 5/12*s**h. Determine t, given that d(t) = 0.
-2, -1
Suppose 3*b = 2*b + 13. Suppose 0 = -4*o - b + 13. Suppose 0*j**3 + 0 + o*j - 3/4*j**4 + 3/4*j**2 = 0. What is j?
-1, 0, 1
Let u = 2360/9 - 262. Let t(i) be the second derivative of u*i**2 + 1/27*i**3 + 7*i - 1/54*i**4 + 0. Let t(o) = 0. Calculate o.
-1, 2
Suppose -3*m - 131 = 5*g, 2*g + 41 = -0*g - 5*m. Let t be (2/16)/((-21)/g). Factor 1/6*f**5 + 0*f**3 + t*f**4 + 0*f + 0 + 0*f**2.
f**4*(f + 1)/6
Factor 14*j - 31*j + 33*j - 12*j**2.
-4*j*(3*j - 4)
Suppose 3*f = -2*f + 12*f + 8*f. Factor 0*z**3 + 3/5*z**2 + 0*z + f - 3/5*z**4.
-3*z**2*(z - 1)*(z + 1)/5
Let t(p) = 2*p. Let z(j) = 3*j**2 + 461*j - 456. Let w(h) = 4*t(h) - z(h). Factor w(c).
-3*(c - 1)*(c + 152)
Suppose -6*m + 29 = -7. Let s be 2 + -2 - m/(-7). Factor 2/7*a + s*a**3 + 0 - 2/7*a**4 - 6/7*a**2.
-2*a*(a - 1)**3/7
Let u(i) be the first derivative of i**3/12 + 5*i**2/2 - 21*i/4 - 109. Factor u(n).
(n - 1)*(n + 21)/4
Let v = -7 + 15. Let c be 13 + -13 + v/5. Factor -24/5*m - 26/5*m**2 - c - 2/5*m**4 - 12/5*m**3.
-2*(m + 1)**2*(m + 2)**2/5
Let a(v) be the third derivative of -7*v**2 + 0 + 0*v + 1/8*v**4 - 1/10*v**5 + 1/40*v**6 + 0*v**3. Factor a(g).
3*g*(g - 1)**2
Let v(w) be the third derivative of -4*w**2 - 5/6*w**4 + 0*w + 0 - 7/120*w**6 - 1/210*w**7 - 3/10*w**5 - 4/3*w**3. Let v(f) = 0. What is f?
-2, -1
Let t(o) be the first derivative of o**6/2160 + o**5/240 + 11*o**3/3 - 17. Let r(n) be the third derivative of t(n). Factor r(l).
l*(l + 3)/6
Let r(n) = 3*n. Let a be ((-2)/(-6))/((-6)/18). Let g(h) = -h**2 - h. Let v(d) = a*g(d) + r(d). Factor v(t).
t*(t + 4)
Let b be (0 - -1)/1*(-43)/(-129)*1. Factor -1/3*w + 0 - b*w**2.
-w*(w + 1)/3
Let n(h) = 7*h**2 + 30*h. Let a(w) be the first derivative of 2*w**3/3 + 5*w**2 - 12. Let s(q) = 8*a(q) - 3*n(q). Factor s(f).
-5*f*(f + 2)
Let o = 5407 + -632501/117. Let s = o + -22/39. Factor -2/3*l**3 - 14/9*l - 16/9*l**2 - s.
-2*(l + 1)**2*(3*l + 2)/9
Suppose 4 - 1/2*q**2 - 7/2*q = 0. What is q?
-8, 1
Let b(m) be the second derivative of 0 + 17/15*m**6 + 8/5*m**5 + 5/21*m**7 + 0*m**2 - 4*m + 2/3*m**4 + 0*m**3. Solve b(a) = 0 for a.
-2, -1, -2/5, 0
Let y(w) be the first derivative of w**6/720 - w**5/45 + 7*w**4/48 - w**3/2 - 19*w**2/2 + 21. Let l(x) be the second derivative of y(x). Solve l(m) = 0 for m.
2, 3
Let x(g) be the second derivative of -g**6/60 - 7*g**5/10 + 5*g**4/4 + 7*g**3/3 - 29*g**2/4 - 8*g + 14. Determine q so that x(q) = 0.
-29, -1, 1
Suppose 2*h + 32 = 6*h. Let 48*a**2 + 13*a + 14*a + 9*a**4 + 9*a**4 + h*a**5 + 6 + 42*a**3 - 5*a**5 = 0. What is a?
-2, -1
Let h(f) = -9*f**5 - 13*f**4 - 9*f**3 + 13*f**2 - 3*f + 7. Let y(z) = -z**5 - z**4 - z**3 + z**2 - z + 1. Let d(k) = -2*h(k) + 14*y(k). What is a in d(a) = 0?
-2, -1, 0, 1
Let k = -15/32 + 541/1120. Let p(n) be the third derivative of 0*n**5 + 0*n**3 - k*n**7 - 1/40*n**6 + 0*n**4 + 0*n - 3*n**2 + 0. Solve p(g) = 0.
-1, 0
Factor v**3 + 0 + 1/3*v**4 + 0*v - 6*v**2.
v**2*(v - 3)*(v + 6)/3
Let q(s) be the first derivative of 3/16*s**4 - 9/8*s**2 - 24 - 1/2*s**3 + 0*s. Let q(o) = 0. Calculate o.
-1, 0, 3
Factor -14/17*o - 8/17 + 4/17*o**2.
2*(o - 4)*(2*o + 1)/17
Let a(t) = t**3 + 4*t**2 - 4*t + 10. Let o be a(-5). Let b(u) be the third derivative of -1/72*u**4 - 5*u**2 - 1/9*u**3 + 1/180*u**o + 0*u + 0. Solve b(q) = 0.
-1, 2
Let h(f) = -5*f**2 + f + 4. Let j be 30/7 + (-2)/7. Let o(c) = -6*c**2 + c + 5. Let x(t) = j*h(t) - 3*o(t). Factor x(i).
-(i - 1)*(2*i + 1)
Solve 0 + 2/3*w**5 - 19/3*w**4 + 0*w - 8*w**2 - 58/3*w**3 = 0.
-2, -1/2, 0, 12
Let r(y) = y**2 + 4*y - 2. Let j be r(-6). Let t = j + -4. Factor -t*c**2 + 2*c**2 - 3*c + 3*c**4 - 2*c**2 - 3*c**5 + 3 + 6*c**3.
-3*(c - 1)**3*(c + 1)**2
Let l(n) = -n**2 + 7*n + 10. Let t be 2/8 + (-62)/(-8). Let f be l(t). Solve -2*d**3 + 5*d**f - 2*d**4 - 2*d**2 + d**2 + 0*d**3 = 0 for d.
-2, 0, 1
Let c = -133 - -132. Let d be 4/(-12)*4*c. Factor -4*p**2 - d - 4*p - 4/3*p**3.
-4*(p + 1)**3/3
Suppose -22*x - 16 = -26*x. Let u(m) be the third derivative of 0*m**x + 0 + 0*m - 8*m**2 - 4/45*m**3 + 1/450*m**5. Factor u(h).
2*(h - 2)*(h + 2)/15
Let i(l) = -l**4 + l**3 + l**2 + l + 1. Let r(n) = -8*n**4 - 44*n**3 - 16*n**2 - 8*n - 8. Let y(v) = 8*i(v) + r(v). Factor y(o).
-4*o**2*(o + 2)*(4*o + 1)
Let z be (-16)/(-6) - (-2)/(-3). Suppose 4*o**4 - z*o**5 + 10*o - 4*o - 4*o - 4*o**2 = 0. Calculate o.
-1, 0, 1
Suppose -3*b + a + 13 = -0, 0 = -2*b + 2*a + 14. Determine x, given that 0 + 1/2*x + 1/4*x**b - 3/4*x**2 = 0.
0, 1, 2
Suppose 324 - 24*v + 4/9*v**2 = 0. What is v?
27
Let s(x) be the second derivative of -x**7/14 - x**6/2 - 3*x**5/20 + 17*x**4/4 + 11*x**3 + 12*x**2 + 106*x. Solve s(f) = 0 for f.
-4, -1, 2
Let n(c) be the first derivative of -6*c**2 - 4*c**3 + 3/4*c**4 + 3/5*c**5 + 0*c + 41. Factor n(s).
3*s*(s - 2)*(s + 1)*(s + 2)
Let j = 33 - 29. Factor 36*o**3 + 8*o + 34*o**j - 26*o**4 + 8*o + 42*o**2 + 6*o**2.
4*o*(o + 2)**2*(2*o + 1)
Let r(u) be the first derivative of 8/15*u**3 + 2*u - 1/20*u**4 + 19/10*u**2 + 12. Let r(p) = 0. What is p?
-1, 10
Let b(y) be the second derivative of -y**6/120 + y**5/60 + y**4/24 - y**3/6 - 21*y**2/2 + 20*y. Let o(q) be the first derivative of b(q). Factor o(g).
-(g - 1)**2*(g + 1)
Suppose -3*u = -5*w - 73, u - 2*w - 21 - 5 = 0. Let -42*b**2 + 30*b**4 - 74*b**2 - 14*b - 22*b**3 - u + 41*b + 61*b = 0. What is b?
-2, 1/3, 2/5, 2
Let c(w) be the third derivative of w**5/60 - 19*w**4/24 + 17*w**3/3 - 2*w**2 + 13. Determine v so that c(v) = 0.
2, 17
Let k be (-35)/5 + 9/1. 