20 + u**5/140 + 30*u**2. What is k in h(k) = 0?
-1, 0, 3
Let g(n) = 8*n**4 - 32*n**3 + 59*n**2 + 15*n - 90. Let h(v) = -23*v**4 + 97*v**3 - 179*v**2 - 45*v + 270. Let c(k) = 8*g(k) + 3*h(k). Factor c(f).
-5*(f - 3)**2*(f - 2)*(f + 1)
Let d be (-70)/(-160)*(-24)/84 + (-14)/(-48). Let p = 3 + -3. Factor -d*s**2 - 1/6*s + 1/6*s**3 + 1/6*s**4 + p.
s*(s - 1)*(s + 1)**2/6
Let k be (14 - -4)*(-2 + 3). Let c = 21 - k. Factor -6 + 10*v - c*v**2 + 0*v**2 - v.
-3*(v - 2)*(v - 1)
Let u = -126187/21 + 6009. Factor 10/21*w + 20/21*w**2 + 2/21 + 20/21*w**3 + 10/21*w**4 + u*w**5.
2*(w + 1)**5/21
Let x(r) be the first derivative of 0*r**2 + 9/40*r**5 + 0*r**3 + 0*r - 3/16*r**4 + 13 + 1/8*r**6. Factor x(k).
3*k**3*(k + 2)*(2*k - 1)/8
Let x be 8/6*18/4. Factor -l - 11*l**2 - x + 9*l**2 + 3*l**2.
(l - 3)*(l + 2)
Let s = -2767/3 + 924. Solve -1/3*x**4 - s*x + 1/3*x**3 + x**2 + 2/3 = 0.
-2, 1
Factor 0 + 0*b - 2/5*b**4 - 6/5*b**2 - 8/5*b**3.
-2*b**2*(b + 1)*(b + 3)/5
Let n(q) = -q**2 + q + 2. Let h be n(0). Find o, given that -26*o + 5*o**h + 12*o - 16*o - 2*o**2 = 0.
0, 10
Let v = 3868/5 + -65746/85. Factor -2/17*r + 0 + v*r**2.
2*r*(r - 1)/17
Suppose -5*t - 74 = -t - 2*w, -2*t - 5*w - 67 = 0. Let z be (-40)/t - 24/42. Factor 1/3*p**2 - 4/3*p + z.
(p - 2)**2/3
Let w be (-6)/(-9) - 4/(84/(-91)). Let t(s) be the first derivative of -3/26*s**4 - 7 + 3/13*s**2 + 4/13*s - 2/39*s**3 - 2/65*s**w. Suppose t(f) = 0. What is f?
-2, -1, 1
Let u(y) = 2*y**3 + 4*y**3 - y - 8*y**3. Let w be u(-1). Suppose 9*v - w*v - 8*v**3 - 5 + 3 = 0. What is v?
-1, 1/2
Let u = 299 + -296. Let y(s) be the second derivative of -1/4*s**2 + 0 - 1/48*s**4 + 4*s - 1/8*s**u. Factor y(t).
-(t + 1)*(t + 2)/4
Let a be 55440/3850 + -15 + 1. Factor -8/5*b**3 - a*b**4 - 4/5*b - 2*b**2 + 0.
-2*b*(b + 1)**2*(b + 2)/5
Let f(r) = r**4 - r**3 - r**2 - r. Let n(w) = -4*w**4 - 2*w**3 + 2*w**2 + 24*w + 18. Let v(p) = -12*f(p) - 4*n(p). Suppose v(i) = 0. What is i?
-3, -1, 2
Let u(x) be the third derivative of -x**7/70 + x**6/20 + x**5/20 - x**4/4 + 74*x**2. Find p such that u(p) = 0.
-1, 0, 1, 2
Let q = -164 + 162. Let m be (-4)/(-30) + (-56)/(-30) + q. Determine h, given that m + 0*h - 2/5*h**2 - 4/5*h**3 - 2/5*h**4 = 0.
-1, 0
Factor -4*l**2 - 15*l + 9*l**4 - l**3 - 8*l**4 + 19*l.
l*(l - 2)*(l - 1)*(l + 2)
Let w = 32 - 22. Suppose 11 = 3*u - w. Find s such that -2*s**2 + u*s**3 + 4*s**3 + 2*s**4 - 11*s**3 = 0.
-1, 0, 1
Let l(o) be the second derivative of 0*o**2 - 1/50*o**5 + 0*o**3 + 0 - 3*o - 1/15*o**4. Find t such that l(t) = 0.
-2, 0
Suppose -3*h = -4*g - 19, 0 = -g + 3*g - 4. Let z be h/(-6)*(-16)/12. Factor -16/7*u - 2/7*u**z - 32/7.
-2*(u + 4)**2/7
Let h(p) be the first derivative of p**7/504 - p**6/216 - p**5/72 + 5*p**4/72 - 6*p**3 + 15. Let c(m) be the third derivative of h(m). Factor c(b).
5*(b - 1)**2*(b + 1)/3
Let m be (-216)/(-480) + 18/(-15) + 1. Solve 1/4*q**2 + m*q + 0 = 0 for q.
-1, 0
Let k be 3/(-1015)*35/14. Let f = k + 293/406. Factor 2/7 + j + f*j**2.
(j + 1)*(5*j + 2)/7
Let y(b) be the second derivative of 3*b**5/20 + 3*b**4 + 29*b**3/2 + 27*b**2 + 154*b. Let y(s) = 0. Calculate s.
-9, -2, -1
Let o(t) be the second derivative of -18*t**5/35 + t**4/28 + 12*t**3/7 - 3*t**2/14 + 101*t. Suppose o(h) = 0. What is h?
-1, 1/24, 1
Factor 20*k + 14*k**2 + 2 + 21*k**3 + 3 + 25*k**4 - 41*k**3 - 44*k**2.
5*(k - 1)**2*(k + 1)*(5*k + 1)
Let r(k) = k**3 - 3*k**2 + 3*k. Suppose o - 4 + 5 = 0. Let z(i) = -i**2 + i. Let t(u) = o*r(u) + 3*z(u). Solve t(p) = 0 for p.
0
Let y = -142 + 1568/11. Let j = -10/99 + y. Factor -2/3*r + j + 2/9*r**2.
2*(r - 2)*(r - 1)/9
Let f(p) be the first derivative of -97/15*p**3 - 16/5*p - 9/25*p**5 + 9 + 33/10*p**4 - 44/5*p**2. What is c in f(c) = 0?
-1/3, 4
Let a(l) be the third derivative of l**8/120 - l**7/105 - 23*l**6/300 + 29*l**5/150 - l**4/15 - 4*l**3/15 + 8*l**2 - 2. Find s, given that a(s) = 0.
-2, -2/7, 1
Let h = 47 - 42. Solve -11*j**3 - 2*j**3 - 7*j**3 - h*j**4 = 0 for j.
-4, 0
Let d(r) be the first derivative of -r**4/21 + r**3/21 - 46*r + 23. Let u(a) be the first derivative of d(a). Factor u(m).
-2*m*(2*m - 1)/7
Let j(n) = -10*n**4 + 10*n**3 - 10*n**2 - 15*n. Let p(o) = 11*o**4 - 10*o**3 + 13*o**2 + 16*o. Let y(b) = 6*j(b) + 5*p(b). Find w, given that y(w) = 0.
-1, 0, 1, 2
Let h(q) be the second derivative of -q**7/21 + q**6/3 + 3*q**5/5 - 800*q. Find t such that h(t) = 0.
-1, 0, 6
Let y(k) be the third derivative of k**5/150 + 113*k**4/60 - 590*k**2 - 2*k. Solve y(i) = 0 for i.
-113, 0
Let p(l) be the second derivative of -l**4/32 - 11*l**3/16 - 45*l**2/8 - 120*l. Factor p(d).
-3*(d + 5)*(d + 6)/8
Let t = 132 + -128. Suppose p = -p + t. What is m in 8/7 + 8/7*m + 2/7*m**p = 0?
-2
Let c be -7 - (6 - 11) - (-20)/14. Let k = 37/28 + c. Factor -1/4*p**2 - 1/2 - k*p.
-(p + 1)*(p + 2)/4
Factor 4/3*g + g**2 + 0 - 1/3*g**3.
-g*(g - 4)*(g + 1)/3
Determine m, given that -4*m - 17/2 + 1/8*m**2 = 0.
-2, 34
Let u be ((-20)/(-25))/(8/(-20)). Let b(a) = 390*a**3 - 3570*a**2 + 1325*a. Let z(p) = -23*p**3 + 210*p**2 - 78*p. Let j(y) = u*b(y) - 35*z(y). Solve j(c) = 0.
0, 2/5, 8
Let j(t) = -t**3 + t**2 - t - 2. Let o be j(2). Let f = o - -12. Factor 17*p**f + 51*p - 18*p - 2*p**4 + 51*p**3 + 63*p**2 - 1 + 7.
3*(p + 1)**3*(5*p + 2)
Let b(y) be the second derivative of y**7/189 + y**6/135 - 23*y**5/90 + 13*y**4/18 - 2*y**3/3 + 224*y. Determine u so that b(u) = 0.
-6, 0, 1, 3
Find n such that -148*n**2 + 156*n**2 - 9*n**3 + 13*n**3 - 96*n = 0.
-6, 0, 4
Let l(x) = 5*x**4 - 149*x**3 + 6*x**2 + 171*x. Let c(n) = n**4 - 30*n**3 + n**2 + 34*n. Let s(a) = -11*c(a) + 2*l(a). Determine m so that s(m) = 0.
-1, 0, 1, 32
Let t(u) be the first derivative of u**4/5 - 4*u**3/15 - 4*u**2 - 32*u/5 - 159. Find j, given that t(j) = 0.
-2, -1, 4
Let -48/17 - 56/17*z - 6/17*z**5 + 60/17*z**2 - 4/17*z**4 + 54/17*z**3 = 0. Calculate z.
-2, -2/3, 1, 3
Let n = 2 + 1. Let h = 793/20 - 157/4. Factor 0 - h*u**n - 4/15*u**2 + 2/15*u**5 + 0*u**4 + 0*u.
2*u**2*(u - 2)*(u + 1)**2/15
Let b(i) = 2*i + 38. Let n be b(0). Factor 4*a**3 - 4*a**5 + n*a + 2 - 2*a**2 + 3*a**5 - 41*a + 0*a**5.
-(a - 1)**3*(a + 1)*(a + 2)
Factor -10/3*q - 1/3*q**2 + 0.
-q*(q + 10)/3
Let x = 1607/12 - 781/6. Factor -15/4*a**3 + 15/2 - x*a**2 + 35/4*a + 5/4*a**4.
5*(a - 3)*(a - 2)*(a + 1)**2/4
Let b(g) be the third derivative of 3/220*g**6 - 2/385*g**7 + 24*g**2 + 0*g**4 + 1/1848*g**8 - 2/165*g**5 + 0*g**3 + 0 + 0*g. Factor b(o).
2*o**2*(o - 4)*(o - 1)**2/11
Let l = 143/192 + -5/64. Let -4/3*c + 0 + l*c**2 = 0. What is c?
0, 2
Let x(a) = 9*a**3 - 6*a**2 + 15*a - 6. Let r(h) = 7*h**3 - 6*h**2 + 14*h - 6. Let p(v) = -4*r(v) + 3*x(v). Find w, given that p(w) = 0.
1, 2, 3
Let k(i) = 10*i**2 - 8*i - 81. Let r(t) = -48*t**2 + 40*t + 410. Let y(a) = 14*k(a) + 3*r(a). Factor y(g).
-4*(g - 6)*(g + 4)
Let z(f) = 1. Let j(i) = i**4 - 4*i**3 - 2*i**2 + 12*i + 6. Let w(s) = -j(s) - 3*z(s). What is n in w(n) = 0?
-1, 3
Let h = 32561/5 - 6511. Determine c so that h*c - 24/5 + 3/5*c**2 = 0.
-4, 2
Let h = 13/112 - -675/1904. Determine n so that 4/17 + h*n**2 - 10/17*n - 2/17*n**3 = 0.
1, 2
Suppose 405*v**2 + 44*v**4 - 2*v**5 + 315*v**3 + 31*v**4 + 7*v**5 = 0. Calculate v.
-9, -3, 0
Let n = 1114 + -41215/37. Let o = n + 139/111. Determine j so that 4*j**3 + 0 + 0*j + o*j**2 + 4*j**4 + 4/3*j**5 = 0.
-1, 0
Factor -2/13*u**2 - 34/13*u + 36/13.
-2*(u - 1)*(u + 18)/13
Suppose 0 = 2*n + 10, -5*t - 4*n + 2*n - 10 = 0. Let y(f) be the first derivative of 0*f + t*f**2 + 2/3*f**3 + 1/2*f**4 - 4. Solve y(o) = 0.
-1, 0
Let h be ((-8)/5)/(24/60). Let z be h - -4 - (-3)/1. Find u such that u**3 + 3*u**5 - 6*u**z + 2*u**3 + 0*u**3 = 0.
-1, 0, 1
Let x(s) be the first derivative of -2*s**3/3 + 6*s**2 - 16*s + 82. Let x(a) = 0. Calculate a.
2, 4
Let a = -4739 + 14219/3. Factor -2*z + a*z**2 + 4/3.
2*(z - 2)*(z - 1)/3
Let x(s) be the first derivative of 1 - 35/3*s**3 - 5*s**2 + 15/2*s**4 - 10/3*s**6 + 7*s**5 + 0*s. Find l, given that x(l) = 0.
-1, -1/4, 0, 1, 2
Let h(r) be the third derivative of 0 + 1/150*r**5 + 0*r + 15*r**2 - 1/1575*r**7 - 4/45*r**3 + 1/450*r**6 - 1/45*r**4. Determine y, given that h(y) = 0.
-1, 2
Let j(d) = d. Let w(y) = 2*y**3 + 3*y**2 + 7*y. Let t = -69 + 74. Let z(s) = t*w(s) - 35*j(s). Factor z(r).
5*r**2*(2*r + 3)
Suppose -5*s - s = 0. Suppose 6*g