 1/210*r**7 - 1/20*r**4 - 1/15*r**3 + 5*r + 0*r**2. Solve w(v) = 0 for v.
-2, -1, 0, 1
Let f(k) = 6*k**3 - k**2 - k + 2. Let w be f(3). Let y = 152 - w. Factor 2/7*o + y - 8/7*o**2.
-2*o*(4*o - 1)/7
Let -105*y**2 - 72 + 4*y**4 - 40*y**3 + 73 + y**4 + 99 + 40*y = 0. What is y?
-2, -1, 1, 10
Let z(d) = -3*d + 41. Let a be z(13). Suppose 16 + 15*s - 26 + 3*s**a + 22 = 0. What is s?
-4, -1
Suppose -2*i = -1 - 5, 3*i = 2*s + 5. What is j in 155*j - 120*j**3 - 135*j - 28*j**5 - 9*j**4 - 91*j**4 - 36*j**s - 4*j**2 + 12 = 0?
-1, 3/7
Determine b, given that 96*b**2 + 393/2*b - 3/2*b**3 + 99 = 0.
-1, 66
Let 20/3*h**3 - 5/3*h**2 + 5/6 + 5/6*h**4 - 10/3*h - 10/3*h**5 = 0. What is h?
-1, 1/4, 1
Let z = -8257 + 8260. Factor 0*c**z + 0*c + 0 + 0*c**2 + 4/7*c**5 + 4/7*c**4.
4*c**4*(c + 1)/7
Let w(x) = 63*x + 5481. Let s be w(-87). Determine i, given that -2/5*i**4 + 0*i + 0*i**2 + s + 1/5*i**5 + 0*i**3 = 0.
0, 2
Let u be (10/(-4))/(35/(-28)). Factor -3*n**3 - n**2 + 5*n**4 - 4*n**2 + 2*n**5 - u*n**3 + 3*n**5.
5*n**2*(n - 1)*(n + 1)**2
Let j(x) = -x**4 - 37*x**3 - 103*x**2 - 3. Let o = -52 + 44. Let d(b) = -4*b**4 - 112*b**3 - 308*b**2 - 8. Let s(z) = o*j(z) + 3*d(z). Factor s(q).
-4*q**2*(q + 5)**2
Factor -6/11*d - 2/11*d**2 - 4/11.
-2*(d + 1)*(d + 2)/11
Let f(s) = -2*s**2 - 6*s + 4. Let n be f(0). What is v in -8*v**n + 8*v**3 + 7*v**2 + 3*v**4 - 10*v**2 = 0?
0, 3/5, 1
Let w(m) be the first derivative of m**4/14 - 12*m**3/7 - 12*m**2 - 176*m/7 - 150. Solve w(o) = 0 for o.
-2, 22
Let o be 901/100 + -1 - 352/44. Let r(y) be the third derivative of -2/15*y**3 + 0 + 0*y**4 + 6*y**2 + 0*y + o*y**5 - 1/600*y**6. Let r(l) = 0. Calculate l.
-1, 2
Suppose -2*n = 28 - 14. Let h be (-96)/(-84) - (-2)/n. Factor 3/7 + h*v + 3/7*v**2.
3*(v + 1)**2/7
Factor 1053*j**2 + 2*j**4 + 88*j**3 + 4096 - j**4 - 5*j**4 + 512*j - 1629*j**2.
-4*(j - 8)**3*(j + 2)
Suppose -9 = -11*x + 24. Let n(d) = -1. Let i(u) = -55*u**3 - 10*u**2 + 55*u + 7. Let y(q) = x*n(q) - i(q). Factor y(m).
5*(m - 1)*(m + 1)*(11*m + 2)
Suppose -z + l = z - 10, 16 = -4*l. Let j(v) be the third derivative of 0*v + 0 + 0*v**z + 0*v**5 - 1/60*v**4 + 5*v**2 + 1/300*v**6. What is n in j(n) = 0?
-1, 0, 1
Let 3*k + 28*k**2 + 7*k**3 - 25*k**3 - 2*k + 4*k**4 - 19*k + 4 = 0. What is k?
1/2, 1, 2
Let c be 5*54/30 + -2. Let y(v) be the second derivative of 0 + 1/14*v**c + 3/20*v**5 + 0*v**4 + 0*v**3 + 1/5*v**6 - v + 0*v**2. Factor y(n).
3*n**3*(n + 1)**2
Let l(r) = -r**2 - 10*r. Let x be l(-9). Find z such that -6*z**2 + 25*z - x*z - 20 + 10*z**2 = 0.
-5, 1
Factor 105*y**2 - 2982 + 115*y**4 + 215*y**3 + 2982 + 5*y**5.
5*y**2*(y + 1)**2*(y + 21)
Solve -23*k**3 + 7*k**5 + 29*k**2 - 2014*k**4 - 4*k - 4 + 1014*k**4 + 995*k**4 = 0 for k.
-2, -2/7, 1
Let j(d) = -d - 1. Let q(w) = -2*w**3 - 6*w**2 - 2*w + 2. Let y(k) = -4*j(k) - 2*q(k). Factor y(b).
4*b*(b + 1)*(b + 2)
Factor -22*d**2 - 19*d + 2*d**2 + 183 - d**4 + 3*d**4 - 6*d**3 + d**5 - 189.
(d - 3)*(d + 1)**3*(d + 2)
Let y(x) be the first derivative of -x**7/70 - x**6/10 - x**5/4 - x**4/4 + x**2/2 + 4. Let c(k) be the second derivative of y(k). Factor c(a).
-3*a*(a + 1)**2*(a + 2)
Let i be (-182)/(-1365) - (-38)/30. Determine t so that -6/5 - 17/5*t + i*t**3 + 16/5*t**2 = 0.
-3, -2/7, 1
Suppose -1 = j - 3. Suppose -4*k = -6*k - 5*i - 21, j*k + 4*i + 16 = 0. Factor 7*h**k - 8*h**2 + 2 - 9*h**2 + 8*h.
-2*(h - 1)*(5*h + 1)
Let l(d) be the second derivative of d**5/15 - d**4/3 - 2*d**3 + 15*d**2/2 + 3*d. Let i(h) be the first derivative of l(h). Factor i(j).
4*(j - 3)*(j + 1)
Let j(o) be the second derivative of -1/30*o**5 - 38*o + 1/18*o**4 + o**2 + 0 + 5/9*o**3. Suppose j(y) = 0. What is y?
-1, 3
Let x = 5905 + -17510/3. Let v = 69 - x. Factor v*n**3 + 0 + 0*n - 2/3*n**2.
2*n**2*(n - 1)/3
Let j = -48571/26260 - 1/2626. Let m = 9/4 + j. Factor -m*h**2 - 4/5 - 6/5*h.
-2*(h + 1)*(h + 2)/5
Let z(a) = -a + 18. Let j be z(6). Factor 39*t**4 - 66*t**4 + 39*t**4 + 4*t**5 + j*t**3 + 4*t**2.
4*t**2*(t + 1)**3
Let f(s) = -s**3 + 14*s**2 - 16*s - 7. Let b be f(12). Factor 16*r**3 - 20*r**2 + 4*r - b + 89.
4*r*(r - 1)*(4*r - 1)
Let t(y) = -y**2 + 9*y + 10. Let x be t(-1). Let l(w) be the third derivative of x + 0*w**3 + 1/48*w**4 - 1/120*w**5 + 3*w**2 + 0*w. Let l(c) = 0. What is c?
0, 1
Suppose -5*u - 15 = -30. Factor 5*s**4 - 8*s - 35*s**2 + 114*s**3 - 124*s**u - 12*s.
5*s*(s - 4)*(s + 1)**2
Let k(l) be the first derivative of l**9/9072 + l**8/5040 + 2*l**3 + 12. Let o(q) be the third derivative of k(q). Factor o(p).
p**4*(p + 1)/3
Let j(x) = 2*x**2 - x - 1. Let o(p) = -19*p**2 - 43*p - 113. Let b(r) = 7*j(r) + o(r). Find q such that b(q) = 0.
-6, -4
Suppose -3*k + 8 = -n - 0*n, -5*k + 12 = -2*n. Let d be 3/12 - (-5)/n. Factor 1/4*z**4 - z**3 + d*z**2 + 1/4 - z.
(z - 1)**4/4
Let b = 28 - 24. Let -31 + 3*w**b + 12*w**2 + 12*w + 6*w**2 + 1 + 6 - 15*w**3 = 0. What is w?
-1, 2
Let h(s) be the second derivative of s**5/20 + s**4 + 8*s**3 + 32*s**2 - 108*s. Factor h(f).
(f + 4)**3
Let b(f) be the first derivative of -5*f**6/48 + 27*f**5/40 - 5*f**4/8 - 3*f**3/2 + f**2 - 13. Solve b(z) = 0 for z.
-1, 0, 2/5, 2, 4
Suppose -20 = -4*k + 3*w, 154*k = 149*k + 5*w + 25. Find o, given that 27/5*o**k + 171/5*o**3 + 52/5*o + 134/5*o**2 + 108/5*o**4 + 8/5 = 0.
-1, -2/3
Let z(j) be the second derivative of -5*j**9/3024 + j**7/84 - j**5/24 - j**3/3 - 10*j. Let c(r) be the second derivative of z(r). Factor c(w).
-5*w*(w - 1)**2*(w + 1)**2
Let u be 1 + (5 + 3 - 4). Let i be 5*4/(-30)*-3. Factor 52*g**2 - 27*g**i - 20*g**2 - u*g**4.
-5*g**2*(g - 1)*(g + 1)
Factor -1/5*q**2 - 1 - 6/5*q.
-(q + 1)*(q + 5)/5
Factor -32 + 269*m**4 - 94*m**4 - 13 - 30*m**3 - 85*m**4 - 114*m - 96*m**2 - 93*m**4.
-3*(m + 1)**2*(m + 3)*(m + 5)
Suppose -1 = -3*p + 5. Suppose 6 = 4*a - p. Determine k, given that 0*k - 3*k**3 + k**5 + 0*k + a*k**5 = 0.
-1, 0, 1
Let y(s) be the second derivative of -s**5/20 - s**3/6 - s. Suppose 0 = -n - 16*n + 17. Let m(v) = -v**2 + v. Let u(q) = n*y(q) + m(q). Factor u(h).
-h**2*(h + 1)
Let r(o) be the first derivative of -3*o**5/5 - 7*o**4/6 + 4*o**3/3 + 9*o**2/2 - 16. Let n(b) be the second derivative of r(b). Solve n(p) = 0.
-1, 2/9
Let j be -4 + (3/(-7) - (-8896)/2464) + 1. Factor 0 + j*b**2 + 0*b.
2*b**2/11
Let g = -11735/11 - -1067. Let -2/11*o**2 + 0*o + g = 0. What is o?
-1, 1
Let y(b) be the second derivative of -b**6/105 + b**5/35 + 11*b**4/42 - 4*b**3/7 - 36*b**2/7 - 167*b. Factor y(q).
-2*(q - 3)**2*(q + 2)**2/7
Suppose -2*u + 1 = s, 3*u - 4*s - 21 = -3. Solve 8*t**2 + u*t**4 + 0*t**2 + 45*t**3 - 37*t**3 = 0 for t.
-2, 0
Let m(l) be the second derivative of 5*l**7/168 - 7*l**6/24 + l**5 - 5*l**4/4 - 146*l. Factor m(y).
5*y**2*(y - 3)*(y - 2)**2/4
Let m(n) = -n**3 + 4*n**2 + 19*n + 14. Let s be m(7). Find w such that -3/2*w**3 - 3 + s*w**2 + 9/2*w = 0.
-2, 1
Suppose 5*g - 488 = -n, 9*n = -5*g + 4*n + 480. Solve 4*f**2 - 33*f + g*f**4 + 9*f + 6 - 34*f**4 - 2 + 96*f**3 = 0 for f.
-1, 1/4
Suppose 13*m - m = -13*m. Determine o, given that m + 8/7*o - 2/7*o**2 = 0.
0, 4
Let p be 5/((-40)/12)*(-8)/(-6). Let q be -2 - p*(3 - 2). Let 0*i**2 - 2/3*i**3 + 2/3*i + q = 0. Calculate i.
-1, 0, 1
Let y(k) be the third derivative of -k**6/60 - k**5/30 + k**4/12 + k**3/3 + 21*k**2 + k. Factor y(l).
-2*(l - 1)*(l + 1)**2
Suppose -4*m + p = -10, 12*m - 8 = 7*m - p. Let o(i) be the first derivative of 0*i - m + 0*i**2 - 1/3*i**3. Find r, given that o(r) = 0.
0
Suppose 258*k + 48834 - 30*k**2 + 15*k - 9634 + 287*k + 32*k**2 = 0. Calculate k.
-140
Let g(t) be the third derivative of -t**10/756000 + t**8/33600 + t**7/12600 + t**5/15 + 10*t**2. Let n(f) be the third derivative of g(f). Factor n(u).
-u*(u - 2)*(u + 1)**2/5
Let c = 8 + -16. Let a = c + 8. Let -4/3 - 1/3*m**3 + a*m + m**2 = 0. Calculate m.
-1, 2
Let u be 1378/583 - 4/22. Factor 72/11 + 2/11*z**2 + u*z.
2*(z + 6)**2/11
Let 104*w - 69*w**2 - 7*w**3 - 41*w**3 + 9*w**2 + 4*w**4 = 0. What is w?
-2, 0, 1, 13
Let p be (-1200)/(-5400)*(-2)/(-32)*1. Let k(q) be the second derivative of p*q**4 - 6*q + 0*q**3 + 0 - 1/12*q**2. Factor k(y).
(y - 1)*(y + 1)/6
Let x(o) be the third derivative of 1/60*o**6 + 1/3*o**3 + 1/105*o**7 - 1/15*o**5 + 0*o - 1/24*o**4 - 1/336*o**8 - o**2 + 0. Factor x(f).
-(f - 2)*(f - 1)**2*(f + 1)**2
Let r = 214 + -106. Let g = -322/3 + r