) = p(b) + 5*w(b). Let q be m(-7). Solve 2*t**5 + 2*t**5 - t**4 + 0*t**3 - q*t**3 - t**4 = 0.
-1/2, 0, 1
Determine n so that 9/2*n**3 - 27/2 + 9/2*n**4 + 3/4*n**5 - 15*n**2 - 117/4*n = 0.
-3, -1, 2
Let b be 154/(-55) - 6/(-3) - (-6)/5. Determine h, given that 2/5*h**3 + 2/5*h**2 - b - 2/5*h = 0.
-1, 1
Let t(i) be the third derivative of -i**7/630 - i**6/60 - 13*i**4/24 + 5*i**2. Let m(p) be the second derivative of t(p). Determine a, given that m(a) = 0.
-3, 0
Let q = 2013 - 6037/3. Factor 2/3*z**2 - q*z**3 + 0 + 4/3*z.
-2*z*(z - 2)*(z + 1)/3
Let d = 5 + -1. Factor 0*r**3 - 39*r**2 + 3*r**3 - r**d + 37*r**2.
-r**2*(r - 2)*(r - 1)
Factor 32/15 + 2/15*b**2 - 16/15*b.
2*(b - 4)**2/15
Let k(x) = 4*x**3 + 542*x**2 - 271*x + 138. Let h be k(-136). Factor -16/3*b**h - 4*b + 2/3*b**4 + 14/3 + 4*b**3.
2*(b - 1)**2*(b + 1)*(b + 7)/3
Let j(p) be the second derivative of 3*p**5/20 + p**4/2 + p**3/2 + p + 25. Find o such that j(o) = 0.
-1, 0
Let f(j) = 4*j**2 + 2*j - 3. Let c(x) = -x**2 + x + 1. Let p(l) = -3*c(l) - f(l). Let u be p(-5). Solve 0 + u*r + 3/7*r**3 + 3/7*r**2 = 0.
-1, 0
Let n(v) be the first derivative of v**7/3360 - 7*v**6/1440 - 17*v**5/480 - 3*v**4/32 - 23*v**3/3 + 11. Let k(w) be the third derivative of n(w). Factor k(t).
(t - 9)*(t + 1)**2/4
Let g(b) = -b**2 + 2. Let x(t) = -5*t**3 + 5*t**2 - 5*t - 30. Let u(k) = 15*g(k) + x(k). Determine a, given that u(a) = 0.
-1, 0
Let f(r) be the third derivative of -r**6/240 + 3*r**5/20 + 7*r**4/16 - 19*r**3/6 + 219*r**2. Factor f(u).
-(u - 19)*(u - 1)*(u + 2)/2
Factor 3/2*w - 1/3*w**2 + 0 + 1/3*w**4 - 3/2*w**3.
w*(w - 1)*(w + 1)*(2*w - 9)/6
Let r(z) be the third derivative of -z**6/18 + 13*z**5/45 - 11*z**4/18 + 2*z**3/3 - 4*z**2 + 5*z. Factor r(q).
-4*(q - 1)**2*(5*q - 3)/3
Let n(r) = 2*r**2 - 28*r - 16. Let h be n(15). Suppose 2*f - h*f - 9*f**2 + 14*f**2 + 3 + 1 = 0. What is f?
2/5, 2
Factor 184*z**2 - 40*z**2 - 23161*z + 32*z**3 + 75 - 21 + 23323*z.
2*(z + 3)*(4*z + 3)**2
Let m be ((-38)/16 - -2) + 2*9/48. Let -2/9*b**2 + 2/9*b**3 - 4/9*b + m = 0. What is b?
-1, 0, 2
Let x(y) = -y**2 + y - 2. Let f(v) = -8*v**2 + 191*v - 8478. Let l(n) = 2*f(n) - 14*x(n). Suppose l(d) = 0. What is d?
92
Let z(s) be the second derivative of s**5/20 + s**4/6 - s**3/6 - s**2 - 29*s - 2. Find q, given that z(q) = 0.
-2, -1, 1
Factor 4*f + 10*f**2 + 75*f**5 + 15*f**3 - 4*f - 80*f**5.
-5*f**2*(f - 2)*(f + 1)**2
Let c(g) = 8 + 12*g**3 + 11*g**2 - 8 - g**2 - 2*g. Let k(u) = -11*u**3 - 10*u**2 + u. Let f(t) = -3*c(t) - 2*k(t). Factor f(j).
-2*j*(j + 1)*(7*j - 2)
Factor -62*p + 437*p + 5*p**2 - 33922 + 33542.
5*(p - 1)*(p + 76)
Let z(x) = 2*x**2 - 6*x + 4. Suppose 3 = -2*f - 3. Let m(y) = -2*y**2 + 6*y - 4. Let p(h) = f*z(h) - 4*m(h). Factor p(i).
2*(i - 2)*(i - 1)
Let x = -5141/35 - -1045/7. Factor 8/5 + 1/5*g**3 + x*g + 6/5*g**2.
(g + 2)**3/5
Let o be ((-24)/(-15))/((-42)/(-35)). Factor 1/3*t**2 + o*t + 1.
(t + 1)*(t + 3)/3
Find c such that 0*c + 1/4*c**2 - 9/4 = 0.
-3, 3
Suppose -2*a = 3*c + 7, -3*a + 0*a + 37 = -5*c. Suppose 4 = -d - o, a*o + 20 = -3*d + 3. Factor 2*f + 2*f**2 - 1 - 2 + 0*f**2 - d.
2*(f - 1)*(f + 2)
Let t(u) be the third derivative of u**5/630 + u**4/126 + u**3/63 - 4*u**2 + 71. Let t(q) = 0. What is q?
-1
Factor -6/5*c**2 + 9/5*c - 3/5*c**3 + 0.
-3*c*(c - 1)*(c + 3)/5
Let a(n) be the first derivative of -n**8/336 - n**7/210 + n**6/120 + n**5/60 + 13*n**2/2 + 15. Let w(o) be the second derivative of a(o). Factor w(g).
-g**2*(g - 1)*(g + 1)**2
Let o be -10*19/760 - ((-10)/8 - -1). Find c, given that o*c + 0*c**2 - 3/4*c**3 + 3/4*c**5 + 0*c**4 + 0 = 0.
-1, 0, 1
Let v(k) be the second derivative of 0*k**4 + 0*k**2 + 21*k + 1/180*k**5 + 0 + 1/270*k**6 + 0*k**3. Let v(h) = 0. What is h?
-1, 0
Let q be (48 + -6)/7 + -1. Let s(x) be the second derivative of 1/4*x**4 - x**3 + 0*x**2 + q*x + 0. Suppose s(g) = 0. What is g?
0, 2
Let t be (-9)/21*(-1022)/219. Factor -15/2*j**t - 5/2*j**4 - 5/2*j - 15/2*j**3 + 0.
-5*j*(j + 1)**3/2
Let o = 1728 + -1724. What is t in -21/5*t**o - 6/5*t + 21/5*t**2 + 3*t**5 - 9/5*t**3 + 0 = 0?
-1, 0, 2/5, 1
Suppose -d - 4 = -3*b, -4*d + 15 = 5*b - 20. Factor 8*t - 12*t**3 - 4*t**2 + 1329*t**4 - 1325*t**4 + 5*t**d - t**5.
4*t*(t - 1)**2*(t + 1)*(t + 2)
Let u(z) = z**2 + 6*z - 3. Let g(s) = -s**2 - 5*s + 2. Let y(c) = -6*g(c) - 5*u(c). Let d be y(0). Factor -d*j**2 + 0*j**2 - 27 - j - 15*j - 2*j.
-3*(j + 3)**2
Suppose -26 = -2*k - 0*k + 4*i, i = -5*k + 10. Factor 7*d**2 - d**4 - k + 106*d + 2*d**3 - 3*d**2 - 108*d.
-(d - 3)*(d - 1)*(d + 1)**2
Let y be ((-10)/8 - 0)*70/(-525). Let z(m) be the first derivative of 2/3*m - 2/9*m**3 - y*m**4 - 1 + 1/3*m**2. Factor z(o).
-2*(o - 1)*(o + 1)**2/3
Let z(k) be the third derivative of k**5/120 - 23*k**4/12 + 529*k**3/3 + 226*k**2. Determine h so that z(h) = 0.
46
Suppose -u = 7*s - 3*s - 5, 0 = s - 2*u - 8. Factor -2/3 + 1/6*m**3 + 1/6*m**s - 2/3*m.
(m - 2)*(m + 1)*(m + 2)/6
Find z, given that 0 - 24/11*z - 2/11*z**2 = 0.
-12, 0
Suppose -8*c - 50 + 50 = 0. Let a(s) be the second derivative of -1/12*s**3 - 2*s + c + 0*s**2 - 7/48*s**4 - 1/16*s**5. Factor a(i).
-i*(i + 1)*(5*i + 2)/4
Let k(z) be the second derivative of 0 - 3/5*z**2 + 3*z - 1/60*z**4 - 1/6*z**3. Factor k(q).
-(q + 2)*(q + 3)/5
Let l(j) be the second derivative of 0 + 0*j**2 - 1/50*j**5 - 3/20*j**4 + 2/3*j**3 - 1/900*j**6 - 5*j. Let m(z) be the second derivative of l(z). Factor m(u).
-2*(u + 3)**2/5
Suppose -3*m + 3 = -3. Suppose 58*x + 4 = 60*x. Suppose 0 + 9/2*s**x + m*s**3 + s = 0. Calculate s.
-2, -1/4, 0
Let l = 580/11 - 2702/55. Solve -3*f**4 - 24/5 + 12*f + l*f**2 - 39/5*f**3 = 0.
-2, 2/5, 1
Let y be 6/((-6)/8*-5). Suppose 332 = -32*b + 198*b. Factor d**b - 1/5*d**3 - y*d + 4/5.
-(d - 2)**2*(d - 1)/5
Let t(a) be the third derivative of a**7/105 + a**6/20 - a**5/3 - 2*a**4 - 39*a**2. Determine m, given that t(m) = 0.
-4, -2, 0, 3
Suppose 3*y - c - 9 = 0, 7*c - 2*c = 0. Let d be (-30)/240 - (-34)/16. Find t, given that -3/4*t + 0 + 3/4*t**y + 0*t**d = 0.
-1, 0, 1
Suppose -25*g + 16*g = -45. Let o(c) be the first derivative of 0*c**2 - 1/18*c**6 + 1/15*c**g + 1 + 0*c**4 + 0*c**3 + 0*c. Factor o(d).
-d**4*(d - 1)/3
Let d(x) = 28*x**3. Let p(h) = -4*h**2 + 5*h + 5. Let n(u) = u**2 - u - 1. Let o(t) = -5*n(t) - p(t). Let w(i) = d(i) - 8*o(i). Suppose w(c) = 0. Calculate c.
-2/7, 0
Let s(n) = 9*n**3 + 16*n**2 + n - 28. Let w(a) = -200*a**3 - 350*a**2 - 20*a + 615. Let o(u) = -45*s(u) - 2*w(u). Factor o(i).
-5*(i - 1)*(i + 2)*(i + 3)
Let o be 42/54*(-327)/(-763). Solve -s - o*s**2 - 2/3 = 0 for s.
-2, -1
Let j be 32/(-3) - (-15)/9. Let y be (-2 - j) + 323/(-133). Find n, given that -16/7*n + y + 2/7*n**2 = 0.
4
Let x be (-1 + (-22)/(-10))/(360/1200). Let h(o) be the first derivative of -1/2*o**4 - 2/5*o**5 - 10 - x*o + 2*o**3 + o**2. Solve h(f) = 0 for f.
-2, -1, 1
Let j(w) be the second derivative of w**5/150 + 2*w**4/15 + 7*w**3/15 + 2*w**2/3 - w + 84. Factor j(d).
2*(d + 1)**2*(d + 10)/15
Suppose -3*u - 4*k + 10 = 2*u, -5*k = -2*u + 37. Let o(t) be the second derivative of 0 - 6*t**2 + u*t - 2*t**3 - 1/4*t**4. Solve o(i) = 0.
-2
Let a be (0 - 0)*2/10. Let y(x) be the second derivative of 0 - 3/4*x**4 - 1/2*x**3 + a*x**2 - 4*x + 3/10*x**6 - 3/20*x**5 + 1/7*x**7. Let y(s) = 0. What is s?
-1, -1/2, 0, 1
Let n be (-60372)/(-31941) - 4/(-7). Factor 0 - 8/13*g + n*g**2 + 18/13*g**3.
2*g*(g + 2)*(9*g - 2)/13
Let s = 140 - 171. Let h = 405/13 + s. Suppose -h + 0*b**2 - 4/13*b + 2/13*b**4 + 4/13*b**3 = 0. Calculate b.
-1, 1
Suppose -4*g - 2*v = -50, -5*v + 59 = 3*g + g. Let w = 17 - g. Factor -6 - 10*h + w - 5*h**4 + 4 - 2*h**3 + 13*h**4 - 24*h**2.
2*(h - 2)*(h + 1)**2*(4*h - 1)
Suppose -12 = -37*w + 33*w. Find i, given that -13*i**2 + 72*i**w - 87*i**4 - 5*i**2 - 63*i**5 + 6*i**2 = 0.
-2, 0, 2/7, 1/3
What is k in -k**3 - 5/2*k**2 + 0 - 4/3*k + 1/6*k**4 = 0?
-1, 0, 8
Factor 38/9*d**2 - 2/9*d**3 + 0 + 0*d.
-2*d**2*(d - 19)/9
Let r(n) = -7*n**2 - 385*n - 376. Let c be r(-54). Determine s so that -40/19*s**c - 2/19*s**5 - 52/19*s**3 - 18/19*s**4 + 48/19*s + 64/19 = 0.
-4, -2, 1
Let a(x) be the third derivative of -x**9/30240 + x**8/10080 + x**7/1260 + x**5/15 - 20*x**2. Let b(y) be the third derivative of a(y). Factor b(i).
-2*i*(i - 2)*(i + 1)
Suppose 0 = 4*w - 0*w - 12. Let r(o) = o*