*b, 5*b = 15. Suppose t*y + 6 = 12*y. What is p in 4*p - y*p**2 + 6*p**2 + 8*p - 3*p = 0?
-3, 0
Let m be 3/(-7) - 847/(-539). Let k = -2/917 + 264/917. Factor m + 0*g - k*g**2.
-2*(g - 2)*(g + 2)/7
Let c = -380002 - -1900014/5. Solve c - 3/5*t**2 - 3/5*t**4 + 2*t**3 - 12/5*t = 0 for t.
-1, 1/3, 2
Suppose -630 = 2*u + 2596. Let q = -1611 - u. Let 0 - 4/3*i + 1/3*i**q = 0. What is i?
0, 4
Let p be 0 + (-120)/(-32) + (-24)/32. Let f(t) be the second derivative of -1/120*t**6 + p*t + 1/48*t**4 + 1/80*t**5 - 1/24*t**3 + 0*t**2 + 0. Factor f(l).
-l*(l - 1)**2*(l + 1)/4
Let q(s) = -72*s**2 - 210*s - 201. Let p(l) = 7*l**2 + 21*l + 20. Let c(y) = 37*y - 113. Let m be c(3). Let n(z) = m*q(z) - 21*p(z). Factor n(a).
-3*(a + 1)*(a + 6)
Let -5/4*o**3 + 55*o**2 - 905/4*o - 1365/2 = 0. What is o?
-2, 7, 39
Let i(x) be the first derivative of 5*x**3/3 + 45*x**2/2 - 3960*x + 160. Determine f so that i(f) = 0.
-33, 24
Suppose 113 = 2*d - 3*u, -3*d + 4*u - 51 = -4*d. Let x = d - 53. Find j such that -8*j - 2*j**x + j**2 - 4 - 3*j**2 = 0.
-1
Let h(a) be the second derivative of -3 + 16*a**2 - 4/3*a**3 + 4*a - 1/3*a**4. Determine s, given that h(s) = 0.
-4, 2
Let n = 587 + -549. Let m be (-928)/(-1653) - (-4)/n. Suppose 2/3*o + 2/3 - m*o**2 - 2/3*o**3 = 0. Calculate o.
-1, 1
Let j(a) be the third derivative of 11*a**7/3360 + 19*a**6/320 + a**5/16 + 35*a**4/12 - 2*a**2 + 107. Let l(s) be the second derivative of j(s). Factor l(x).
3*(x + 5)*(11*x + 2)/4
Let d(w) = 7*w**2 - 30 + w + 39 + 2*w**3 - w**3. Let f be d(-7). What is b in -2*b + 0*b + 5*b**f - 10 + b - 4*b = 0?
-1, 2
Let u(x) be the second derivative of 0 - 7/5*x**2 - 11/30*x**3 + 1/50*x**5 + 1/12*x**4 + 42*x. Suppose u(j) = 0. What is j?
-7/2, -1, 2
Let l = -6 + 16. Let c = l + -6. Let -12*f - 3*f**2 + 16*f + 2*f**2 - c + 0*f**2 = 0. Calculate f.
2
Suppose 30002*r + 2142 = 30053*r. Factor -24696*b**3 - r*b - 1/3 - 1764*b**2.
-(42*b + 1)**3/3
Let y(t) be the second derivative of -3 + 1/2*t**3 + 0*t**4 - 3/80*t**5 - 18*t + 0*t**2. Factor y(r).
-3*r*(r - 2)*(r + 2)/4
Suppose 0 = 1031*k - 1038*k + 21. Find z, given that -12*z + z**3 - 10*z**2 + 4*z**k + 38*z**2 = 0.
-6, 0, 2/5
Let n(q) be the first derivative of q**4/20 + 2*q**3/5 - 2*q**2/5 - 24*q/5 + 144. Factor n(i).
(i - 2)*(i + 2)*(i + 6)/5
Let j(y) be the first derivative of y**8/6720 + y**7/480 + y**6/90 + y**5/40 + 124*y**3/3 - 120. Let m(r) be the third derivative of j(r). Factor m(x).
x*(x + 2)**2*(x + 3)/4
Factor 682 + 102 + 150 - 933*u - u**2.
-(u - 1)*(u + 934)
Let k(u) = 2*u - 8 - 2*u + 13*u - 7*u + 271. Let g be k(-43). Factor 0*j**3 + 0*j - 1/5*j**g + 0 + 1/5*j**4 + 0*j**2.
-j**4*(j - 1)/5
Let j(r) = -r - 11. Let o be j(-14). Suppose 3*v + 2*l = 4*v - 2, -2*l = o*v - 46. Factor 95*c**4 - 16*c - 86*c**4 - v*c + 3*c**3 - 26*c**2 - 8.
(c - 2)*(c + 1)*(3*c + 2)**2
Solve -50/9*k - 2/9*k**4 + 0 - 10/3*k**2 + 2*k**3 = 0 for k.
-1, 0, 5
Suppose 11*u = -30*u + 3526. Suppose 0 = 10*g - u + 46. Factor 1/4*o + 0 - 1/4*o**5 + 1/2*o**2 + 0*o**3 - 1/2*o**g.
-o*(o - 1)*(o + 1)**3/4
Let a(o) = o**3 - 25*o**2 - o + 40. Let n be a(25). Let r = -43 + 46. Factor -3*f**3 + n*f**2 + 5*f**4 + 5*f + 13*f**3 + 5*f**r.
5*f*(f + 1)**3
Let i(b) be the third derivative of 11/480*b**6 - 1/3*b**3 - 5/48*b**4 + 7/240*b**5 + 0*b - 1/1344*b**8 + 1/840*b**7 - 2 + 23*b**2. Let i(k) = 0. What is k?
-2, -1, 1, 4
Let p(r) be the third derivative of r**8/336 + 13*r**7/21 + 16*r**6/5 + 191*r**5/30 + 127*r**4/24 + 10629*r**2. What is n in p(n) = 0?
-127, -1, 0
Let c(i) be the second derivative of i**4/6 - 716*i**3/3 + 128164*i**2 + i + 29. Factor c(h).
2*(h - 358)**2
Let z(f) be the first derivative of -f**3/3 - 2*f**2 - f + 39. Suppose u - 5*u = 4. Let b(k) = k. Let p(w) = u*z(w) - 2*b(w). Suppose p(s) = 0. What is s?
-1
Determine v, given that -304*v**4 + 147*v**3 - 256*v**2 + 373*v**2 + 331*v**4 - 3*v**5 = 0.
-3, -1, 0, 13
Suppose 102 = 10*o - 58. Let t be o/208 - 63/(-195). Find h, given that 3/5*h + 1/5*h**2 + t = 0.
-2, -1
Let m be (-31)/(-4) - 129/516. Let d(x) be the first derivative of -14 + 0*x + 15*x**4 + 0*x**2 + 4*x**3 + m*x**6 + 93/5*x**5. Let d(a) = 0. What is a?
-1, -2/3, -2/5, 0
Determine j so that -20/3 + 238/9*j + 10/9*j**5 - 8/3*j**3 + 56/9*j**4 - 220/9*j**2 = 0.
-5, -3, 2/5, 1
Let 71/7*c**2 + 66/7*c + 4/7*c**3 + 0 - 1/7*c**4 = 0. Calculate c.
-6, -1, 0, 11
Let q be (-2 - -2) + -4 + 15/3. Let n = 1 - -2. Factor 7*o**2 + o**n - 1 - 2*o - 4*o**4 + q - 5*o**3.
-o*(o + 2)*(2*o - 1)**2
Let q(k) = -k + 4. Let f be q(0). Suppose 132*v - 235 + 21 = 50. Factor 96/5*l + 4/5*l**v + 4/5*l**f + 64/5 - 24/5*l**3.
4*(l - 4)**2*(l + 1)**2/5
Suppose -94*a - 673 + 1421 = 466. Let -2/7 - 2/7*x + 2/7*x**2 + 2/7*x**a = 0. What is x?
-1, 1
Let a(v) = -v**3 - 67*v**2 - 401*v - 26867. Let h be a(-67). Find z, given that 56/13*z**2 - 2/13*z**5 + 24/13*z**3 - 2/13*z**4 + h + 32/13*z = 0.
-2, -1, 0, 4
Let m(j) = j**3 + 3*j**2 - 10*j + 11. Let h be m(-5). Let v be (-245)/147 + h/3. Factor -1/2 + d**v - 1/2*d**4 + 0*d + 0*d**3.
-(d - 1)**2*(d + 1)**2/2
Let a(y) = 7*y**3 + y**2 - y + 1. Let s(u) = 87*u**3 - 2994*u**2 + 1003992*u - 111779100. Let g(z) = -12*a(z) + s(z). Factor g(n).
3*(n - 334)**3
Let i(c) = 359*c + 15. Let a be i(1). Let q = 378 - a. Let -2/5*z - 2/5*z**5 + 4/5*z**3 + 0 + 0*z**2 + 0*z**q = 0. What is z?
-1, 0, 1
Let q(d) = d**2 - 2*d - d**2 - d**2. Let w(s) = 7*s + 79*s**2 + 4*s - 2*s - 21*s**2 - 54*s**2. Let a(k) = -22*q(k) - 6*w(k). Determine b so that a(b) = 0.
-5, 0
Let t be ((50/5 - 6)/(-6))/(62 + -63). Factor -56/3*u - t*u**3 - 20/3*u**2 - 16.
-2*(u + 2)**2*(u + 6)/3
Suppose -4*c - 4 = 0, 11 - 32 = -4*y + c. Let q(g) = -6*g**2 + 21*g - 21. Let f(r) = 11*r**2 - 43*r + 42. Let x(i) = y*q(i) + 3*f(i). Factor x(t).
3*(t - 7)*(t - 1)
Let y(w) be the first derivative of 5*w**3/3 - 155*w**2/2 + 420*w - 4766. Factor y(d).
5*(d - 28)*(d - 3)
Suppose -67*g + 82*g = 0. Let z be (246/287)/(g + 1 + 1). Determine a, given that 1/7*a**4 - 2/7 + 1/7*a**2 - 3/7*a**3 + z*a = 0.
-1, 1, 2
Let y(c) = 87*c - 84. Let v be y(1). Let x(j) be the first derivative of -3/20*j**5 - 27/4*j + 9*j**2 - 45 - 11/2*j**v + 3/2*j**4. Solve x(s) = 0.
1, 3
Let z = 2741/454 + 105/227. Let j be 7/21*33/2. Factor 5/2*p**3 - 3/2 - z*p**2 + j*p.
(p - 1)**2*(5*p - 3)/2
Factor -11158*h**2 - 4*h**5 + 11158*h**2 - 16*h**4.
-4*h**4*(h + 4)
Factor 1/7*n**3 + 10*n + 0 - 19/7*n**2.
n*(n - 14)*(n - 5)/7
Let b(p) be the second derivative of 5*p**4/4 - 65*p**3/3 - 45*p**2/2 + 25*p. What is x in b(x) = 0?
-1/3, 9
Suppose -2301*t - 569*t + 5778 = 19*t. Factor 14/9*i - 20/9 + 2/3*i**t.
2*(i - 1)*(3*i + 10)/9
Let p = -148762/5 + 446306/15. Find n, given that 8*n - p*n**2 - 20/3 = 0.
1, 5
Let x be -6 + 6 + -3 + 1655/(-7). Let p = 244 + x. Factor 2/7*m**3 + 48/7*m - p - 18/7*m**2.
2*(m - 4)**2*(m - 1)/7
Let l(g) be the first derivative of -50*g**2 + 40*g + 25/4*g**4 - 10/3*g**3 - 9. Factor l(m).
5*(m - 2)*(m + 2)*(5*m - 2)
Suppose -5*u + 25 = -30. Let -g - 3*g**2 + u + 6*g + 4*g + 1 = 0. What is g?
-1, 4
Let w(r) be the third derivative of -1/90*r**5 - 1/90*r**6 + 1/315*r**7 - 94*r**2 + 1/18*r**4 + 0 + 0*r**3 + 0*r. Find x such that w(x) = 0.
-1, 0, 1, 2
Factor 0 - 319*x - 1/3*x**2.
-x*(x + 957)/3
Factor l**3 - 2 - 7/2*l + 1/4*l**4 - 3/4*l**2.
(l - 2)*(l + 1)**2*(l + 4)/4
Let c(a) = -6*a**4 - 72*a**3 + 18*a**2 + 193*a - 155. Let b(y) = -3*y**4 - 36*y**3 + 9*y**2 + 96*y - 78. Let t(i) = -11*b(i) + 6*c(i). Factor t(v).
-3*(v - 1)**2*(v + 2)*(v + 12)
Let n(z) be the first derivative of -2*z**3/21 + 459*z**2/7 + 1844*z/7 - 5275. Let n(h) = 0. What is h?
-2, 461
Let j(t) be the third derivative of t**7/1050 - t**6/180 - 11*t**5/300 - t**4/15 + 10*t**3 - 32*t**2. Let q(x) be the first derivative of j(x). Factor q(n).
2*(n - 4)*(n + 1)*(2*n + 1)/5
Let v be 1 - ((-430)/(-385) + (-30)/220*4). Factor 21 - 6*t + v*t**2.
3*(t - 7)**2/7
Let n be (162/(-21))/((-24)/168). Suppose -n = -15*s - 3*s. Factor 0 - 5/11*c**2 - 1/11*c**s - 6/11*c.
-c*(c + 2)*(c + 3)/11
Let q(x) be the third derivative of -x**7/42 + 19*x**6/24 - 17*x**5/4 + 245*x**4/24 - 40*x**3/3 - 72*x**2 + 3*x. Solve q(y) = 0 for y.
1, 16
Suppose -12*t = -16*t + 4. Let i be ((1 - t) + -1)*0 + 2. Factor 8*r**i + r**3 - 12*r**2 - 2*r + 3*r**2.
r*(r - 2)*(r + 1)
Let m be (-41 + 40)*6*