(s) = 2*f(s) - 7*o(s). Solve y(c) = 0.
46
Let u be (5 - -9)*(6 + -1). Let h be 6/4 + u/28. Factor 71*a**h - 27*a**5 - 87*a + 14 + 118*a**4 - 5 + 298*a**2 - 414*a**3.
-(a - 3)**2*(3*a - 1)**3
Factor 69/5*g - 3/5*g**2 + 0.
-3*g*(g - 23)/5
Suppose 0 = 2*y + 2*f - 4, -y = -0*y + 4*f - 2. Find c such that 2 + 2*c - 3*c - c**2 - 2*c**y = 0.
-1, 2/3
Let p(a) be the first derivative of 8*a**5/15 - a**4/6 - 22*a**3/9 - 2*a**2 - 177. Determine o so that p(o) = 0.
-1, -3/4, 0, 2
Let h(a) be the first derivative of 43 - 1/2*a**4 - 2*a**3 - 10*a + 9*a**2. Factor h(w).
-2*(w - 1)**2*(w + 5)
Suppose 2*c + 2*c - 8 = 0. Suppose 15*j**3 + 15*j**4 - j**c + 8*j**2 - j**2 + 5*j**5 - j**2 = 0. Calculate j.
-1, 0
Let c(j) be the third derivative of 0*j - 1/40*j**6 + 1/336*j**8 + 1/12*j**5 - 1/210*j**7 + 0 - 1/12*j**4 + 16*j**2 + 0*j**3. Factor c(y).
y*(y - 1)**3*(y + 2)
Suppose 2*j = -j - 1266. Let q = -2948/7 - j. Factor 4/7 - 2/7*y**3 + q*y + 0*y**2.
-2*(y - 2)*(y + 1)**2/7
Factor 55*h**2 + 318*h - 309*h - 52*h**2.
3*h*(h + 3)
Let l be (-33)/11 + 114/19. Factor -2/5*c**l + 2/5*c**4 + 2/5*c - 2/5*c**2 + 0.
2*c*(c - 1)**2*(c + 1)/5
Factor -9/2*c**3 + 1/2*c**4 + 14 + 7/2*c**2 + 45/2*c.
(c - 7)*(c - 4)*(c + 1)**2/2
Let a(f) be the third derivative of 2*f**2 + 10*f + 0 - 2/45*f**3 - 1/450*f**5 + 1/60*f**4. Solve a(x) = 0 for x.
1, 2
Suppose -3*d + 4*r + 139 + 59 = 0, -201 = -3*d + 3*r. Factor g**4 + g + 4*g**2 - 2*g**3 - 2 - d*g**5 - 3*g**4 + 71*g**5.
(g - 2)*(g - 1)**2*(g + 1)**2
Let u(v) be the first derivative of 3*v**5/5 + 109*v**4/2 + 1269*v**3 - 2886*v**2 - 5476*v - 166. Let u(w) = 0. Calculate w.
-37, -2/3, 2
Let r = -79 - -96. Let w(b) = -b**3 + 16*b**2 + 17*b + 2. Let s be w(r). Solve 4/3*h - 2/3*h**s + 0 = 0 for h.
0, 2
Let t = -81 + 84. Suppose 3*w - 30 = -2*w. Suppose -5*r**3 + r**2 + 5*r**3 + 2*r**2 - t*r**4 + 6*r**5 - w*r**3 = 0. What is r?
-1, 0, 1/2, 1
Let z(j) = -4*j**2 + 1. Let n be z(1). Let a be ((-41)/82)/(n/2 + -1). What is v in 0 - 1/5*v**2 + 1/5*v**4 - 1/5*v**3 + a*v = 0?
-1, 0, 1
Let m(q) = -q**3 + 8*q**2 - 26*q - 37. Let v(z) = -4*z**3 + 40*z**2 - 128*z - 184. Let d(c) = 24*m(c) - 5*v(c). Factor d(u).
-4*(u - 2)*(u + 2)**2
Let a(y) = y**2 - 71*y - 67. Let k be a(72). Find o, given that 0 + 3/8*o**4 + 1/8*o**2 - 3/8*o**3 - 1/8*o**k + 0*o = 0.
0, 1
Let z = -1/40 + 169/40. Let s = 22/5 - z. Factor -2/5*j**4 + 0 + 0*j**2 - 1/5*j**3 - s*j**5 + 0*j.
-j**3*(j + 1)**2/5
Suppose 3445 - 533 = 182*z. Factor -576/5*g**2 - 1728/5 - 4/5*g**4 - 1728/5*g - z*g**3.
-4*(g + 2)*(g + 6)**3/5
Let s(c) = 2*c**2 + 7*c + 17. Suppose -4 = -w - 2*m + 3*m, 3*w + 4*m = 26. Let j(y) = -y**2 - 3*y - 8. Let o(u) = w*s(u) + 13*j(u). Factor o(t).
-(t - 2)*(t - 1)
Let -10/7*m**2 - 2/7*m**3 + 16/7 - 4/7*m = 0. What is m?
-4, -2, 1
Let p = -135 + 143. Let z(n) be the third derivative of -1/672*n**p + 0*n**3 + 0 + 0*n + 0*n**6 - 4*n**2 + 1/60*n**5 - 1/210*n**7 + 1/48*n**4. Factor z(b).
-b*(b - 1)*(b + 1)**3/2
Let p(h) be the third derivative of h**8/420 - 4*h**7/105 + 4*h**6/25 - 22*h**5/75 + 7*h**4/30 - 14*h**2. Factor p(j).
4*j*(j - 7)*(j - 1)**3/5
Let a be 24/30*(-1596)/(-304). Factor 0 - 9/5*q**5 + a*q**4 - 3*q**3 + 3/5*q**2 + 0*q.
-3*q**2*(q - 1)**2*(3*q - 1)/5
Determine i, given that 375*i**4 - 4884*i + 12330*i**2 + 102 - 6670*i**3 - 9067*i**3 + 5162*i**3 + 546 = 0.
2/5, 27
Let 52/11*f**2 + 2/11*f**4 + 30/11*f**3 + 0 + 0*f = 0. Calculate f.
-13, -2, 0
Let d(s) be the third derivative of s**5/240 - s**4/48 - 5*s**3/8 - 248*s**2. Solve d(q) = 0 for q.
-3, 5
Let x = -6141 + 6141. Suppose -1/2*r + 7/4*r**4 + 1/2*r**3 - 7/4*r**2 + x = 0. Calculate r.
-1, -2/7, 0, 1
Factor -7 - 85*p**3 + 62*p**2 + 198*p**2 + 5*p**4 + 142 + 15*p**3 - 330*p.
5*(p - 9)*(p - 3)*(p - 1)**2
Let a(x) be the second derivative of 1/6*x**4 - 8*x - 5/3*x**3 + 6*x**2 + 0. Solve a(r) = 0.
2, 3
Let f(x) be the second derivative of 0*x**2 + 0*x**4 + 0*x**5 + 0 + x + 0*x**3 + 1/45*x**6. What is m in f(m) = 0?
0
Let p(b) = b. Let w(f) = 19*f - 1 - 4 + 0 - 7 - 4*f**2. Let o(s) = -3*p(s) + w(s). Factor o(n).
-4*(n - 3)*(n - 1)
Let j(q) = q**4 - q**3 + q**2 - q + 1. Let p(m) = -15*m**4 - 168*m**3 - 2886*m**2 - 5208*m - 2535. Let f(o) = 12*j(o) + p(o). Let f(l) = 0. Calculate l.
-29, -1
Let g(n) = -5*n**2 + n. Let s(u) = -u + u**2 + 0*u + 3*u**2. Let t(f) = -3*g(f) - 4*s(f). What is a in t(a) = 0?
0, 1
Let 5/3*g**4 + 0 - 1/3*g**5 - 2/3*g + 7/3*g**2 - 3*g**3 = 0. What is g?
0, 1, 2
Let g be -3 + -1 - (-7 - -3). Let r(c) be the first derivative of 1/4*c**4 + g*c**3 + 0*c**2 + 0*c + 2 + 2/5*c**5 + 1/6*c**6. Determine a so that r(a) = 0.
-1, 0
Let d(n) be the third derivative of n**9/211680 - n**8/35280 - n**7/2205 - 11*n**5/12 - 18*n**2. Let k(h) be the third derivative of d(h). Solve k(t) = 0.
-2, 0, 4
Suppose 10 = -2*f, -4*o + 2*f + 6 = -24. Factor -19*b**3 + 6*b**3 - o*b + 8*b**3 + 10*b**2.
-5*b*(b - 1)**2
Let u be (-135)/(-90)*5/15. Factor -3/2*n + u*n**3 + 0*n**2 + 1.
(n - 1)**2*(n + 2)/2
Let h(n) = n**2 - 2*n + 1. Let l be h(3). Suppose -s = 0, -5*s = d - 3*s - l. Factor -4*y**d + 4*y**4 - 3*y**4 + 3*y**2.
-3*y**2*(y - 1)*(y + 1)
Factor -41/3*f**2 + 484 - 1/3*f**3 - 352/3*f.
-(f - 3)*(f + 22)**2/3
Suppose 0 = y - 6, 2*y + 8 = -2*l + 28. Factor -6/7*g**3 + 0 + 8/7*g**2 + 0*g - 2/7*g**l.
-2*g**2*(g - 1)*(g + 4)/7
Let x(t) be the third derivative of 1/42*t**7 + 14*t**2 + 0*t**4 + 0*t + 0*t**3 + 0 - 5/336*t**8 + 1/4*t**5 + 5/24*t**6. Solve x(q) = 0 for q.
-1, 0, 3
Let y(h) = 6*h**2 + 69*h + 96. Let v(r) = -3*r**2 - 34*r - 48. Let g(u) = -9*v(u) - 4*y(u). Factor g(q).
3*(q + 2)*(q + 8)
Let v(o) = -15*o + 9. Let y be v(1). Let s be 0/y*3/6. Solve -1/3*i**4 + s*i + 1/3*i**2 + 0 + 2/3*i**5 - 2/3*i**3 = 0.
-1, 0, 1/2, 1
Let r(m) be the first derivative of m**6/2 - 36*m**5/5 - 87*m**4/2 - 92*m**3 - 189*m**2/2 - 48*m + 78. Find v, given that r(v) = 0.
-1, 16
Let k be 24/96 - (1 + -1). Let d(y) be the first derivative of 0*y**3 - k*y**4 - 1 + 0*y**2 + 0*y. Factor d(w).
-w**3
Suppose i + 4*i = 0. Let x(a) = -a**3 - a + 5. Let v be x(i). Let 4*r**4 + r**5 + 2*r**3 - 4*r**3 - v*r**4 = 0. What is r?
-1, 0, 2
Suppose 4 = -4*o - 4*p, 16 = -2*p + 6. Let c(l) be the third derivative of 0 + 0*l + l**2 + 0*l**3 + 1/15*l**5 + 1/12*l**o + 1/60*l**6. Factor c(w).
2*w*(w + 1)**2
Let q(v) be the third derivative of -v**8/84 - 4*v**7/35 - 4*v**6/15 + 2*v**5/15 + 3*v**4/2 + 8*v**3/3 - 192*v**2. Factor q(b).
-4*(b - 1)*(b + 1)**3*(b + 4)
Let n(p) be the first derivative of p**8/35 + p**7/7 + p**6/120 - 39*p**5/40 - 9*p**4/4 - 11*p**3 + 11. Let a(j) be the third derivative of n(j). Factor a(z).
3*(z - 1)*(z + 2)*(4*z + 3)**2
Let c(j) = -28*j**2 - 7*j - 4. Let a(w) = w**2 - w + 2 - 1 + 5 - 5. Let y(d) = -12*a(d) - 4*c(d). Factor y(b).
4*(5*b + 1)**2
Determine c, given that -6*c**2 + 2*c**2 - 1052*c + 1096*c = 0.
0, 11
Let i = 25845/14 - 1846. Let x(u) be the second derivative of i*u**3 - 3/140*u**5 + 0 + 1/28*u**4 + 0*u**2 - 6*u - 1/70*u**6. Factor x(c).
-3*c*(c - 1)*(c + 1)**2/7
Let g(u) be the second derivative of -u**5/40 + 203*u**4/8 - 41209*u**3/4 + 8365427*u**2/4 + 40*u + 1. Factor g(p).
-(p - 203)**3/2
Let j = 1082/3 + -360. Solve -2/3*z**2 + 2/3*z**4 - j*z + 2/3*z**3 + 0 = 0 for z.
-1, 0, 1
Let c(x) be the second derivative of -x + 1/9*x**4 + 0*x**2 + 0 + 1/90*x**6 + 0*x**3 + 1/15*x**5. Suppose c(y) = 0. What is y?
-2, 0
Let g(w) be the second derivative of -7/90*w**5 - 4*w + 1/135*w**6 - 1/3*w**3 + 0*w**2 - 17/54*w**4 - 1. Determine s, given that g(s) = 0.
-1, 0, 9
Suppose 2*k + 3*t - 21 = 0, -4 - 5 = -2*k + t. Factor 5*s**2 - k*s**3 - 6*s**4 + 17*s**4 + 26*s**3 + 4*s**4.
5*s**2*(s + 1)*(3*s + 1)
Let j = -2/1121 - -5609/2242. Solve 65/2 - 30*f - j*f**2 = 0.
-13, 1
Let f(s) be the third derivative of 0 - 25*s**2 + 0*s - 1/3*s**3 - 1/240*s**6 + 0*s**4 + 1/40*s**5. Find l such that f(l) = 0.
-1, 2
Let k(c) = 2*c + 3. Let s be k(-3). Let z(q) = 5*q**2 - 8*q + 8. Let b(g) = 4*g**2 + 0*g**2 - g + 7 - g - g - 4*g. Let o(v) = s*z(v) + 4*b(v). Factor o(m).
(m - 2)**2
Let n be 190/2090 + (-10)/(-22). Determine b so that 10/11*b**3 + n*b**4 + 2/11*b**2 + 0 - 2/11*b = 0.
-1, 0, 1/3
Suppose 9*y = 6*y + 60. Factor y*u - 2 - 13 - 50*u**2 + 45*u**2.
-5*(u - 3)*(u - 1)
Suppose 202 + 90 = 146*z. Solve z*r**4 + 20*r**2 + 72/5*r + 16/5 + 54/5*r**3 = 0