e of r**6/105 + 3*r**5/70 - r**4/21 - 4*r**3/7 - 8*r**2/7 + 42*r + 2. Determine s so that g(s) = 0.
-2, -1, 2
Let y = 391/3 + -129. Let r be (6/(-4))/((-21)/56). Determine d so that y*d**r + 4/9 + 2*d + 28/9*d**3 + 32/9*d**2 + 2/9*d**5 = 0.
-2, -1
Suppose 3*i + 25*i = 0. Let -6/7*h**2 + 0*h + 3/7 + i*h**3 + 3/7*h**4 = 0. What is h?
-1, 1
Let r(h) = -h**4 + 2*h**2 - 1. Let g(z) = -4*z**4 + 4*z**3 + 6*z**2 - 4*z - 2. Let l(d) = 2*g(d) - 4*r(d). Factor l(s).
-4*s*(s - 2)*(s - 1)*(s + 1)
Let x(b) be the third derivative of -b**5/480 - 3*b**4/64 + 283*b**2. Solve x(j) = 0.
-9, 0
Factor 3 + 98*k - 223*k**2 - 2*k**4 - 3 + 30*k**3 + 97*k**2.
-2*k*(k - 7)**2*(k - 1)
Suppose 14*o + 17 - 73 = 0. Let u(t) be the third derivative of 0*t - t**2 + 0*t**3 - 1/42*t**o + 0*t**5 + 1/210*t**6 + 0. Suppose u(z) = 0. What is z?
-1, 0, 1
Let b = -2 + 11. Suppose 4*v - b = 7. Factor -11*u**5 + 3*u + 6*u**4 + 8*u**5 - 10*u**2 + v*u**2.
-3*u*(u - 1)**3*(u + 1)
Let k be (-80)/15*9/(-2). Determine m so that 4*m**4 + 13*m**4 + 6*m**4 + m**2 - k*m**4 = 0.
-1, 0, 1
Let w be (-198)/231*(-7)/3. Suppose -26 = -5*n + 34. Factor 20*x**3 - 5*x + 5*x**2 + n*x**4 - x**w + 0*x**2 + x.
4*x*(x + 1)**2*(3*x - 1)
Let d(o) be the second derivative of o**4/12 - o**3/3 - 4*o**2 - 80*o. Solve d(w) = 0.
-2, 4
Let m = 1551 + -1549. Let b(n) be the first derivative of -1/6*n**3 - 1/4*n**m + 9 + 0*n. Let b(u) = 0. Calculate u.
-1, 0
Let r be (0 - 2/4)*-2. Let b(h) = -4*h**5 + 8*h**3 - 2*h**2 - 8*h + 6. Let d(j) = j**5 - j**2 + j - 1. Let m(u) = r*b(u) + 2*d(u). Solve m(z) = 0 for z.
-2, -1, 1
Let l(z) be the second derivative of 3/20*z**5 + 0*z**2 - 1/3*z**3 - 1/12*z**4 - 1/42*z**7 + 1/30*z**6 + 0 - 16*z. Find p, given that l(p) = 0.
-1, 0, 1, 2
Let g = 282/25 + -646/75. Solve 4/3*h**4 + 0 - 4/3*h**2 + g*h**3 - 8/3*h = 0.
-2, -1, 0, 1
Let s = -16903 - -16905. Find v such that 36/5*v - s*v**2 + 16/5 = 0.
-2/5, 4
Let r be (-3 - (-7 + 9))*(-2)/5. Let m = -1 - -3. Let -10*y**2 - 2*y**3 + r*y**2 - 3*y - m*y**3 - y = 0. What is y?
-1, 0
Let t(o) be the first derivative of -5/2*o**2 + 0*o + 1/3*o**3 - 3. Solve t(f) = 0.
0, 5
Let n(u) be the second derivative of -u**9/5040 + u**8/840 - u**7/360 + u**6/360 - u**4 + 5*u. Let z(k) be the third derivative of n(k). Factor z(o).
-o*(o - 1)**2*(3*o - 2)
Let o be (-1)/3*4*(-12)/8. Suppose -6*t = -o*a - 5*t + 4, -a = t - 5. What is d in 0 + 1/4*d**2 + 0*d - 1/4*d**a = 0?
0, 1
Suppose 0 = -1398*b + 1399*b + 3*j + 12, 5*b - 3*j = 30. Factor 0 + 4/9*l - 8/9*l**4 - 4/9*l**5 + 8/9*l**2 + 0*l**b.
-4*l*(l - 1)*(l + 1)**3/9
Let k(g) be the second derivative of -g**5/10 - 13*g**4/14 + 6*g**3/7 - 35*g - 5. Suppose k(c) = 0. What is c?
-6, 0, 3/7
Let h(c) = 4*c**5 + 5*c**4 - 12*c**3 - 6*c**2 + 8*c - 4. Let y(j) = 3*j**5 + 5*j**4 - 11*j**3 - 5*j**2 + 8*j - 4. Let i(p) = 4*h(p) - 5*y(p). Factor i(w).
(w - 2)**2*(w - 1)**2*(w + 1)
Factor 0*f - 16/7*f**2 - 4/7*f**4 + 0 - 20/7*f**3.
-4*f**2*(f + 1)*(f + 4)/7
Let m = 311/22 + -325/44. Factor 15/4*t**2 - m - 9/4*t - 3/4*t**3.
-3*(t - 3)**2*(t + 1)/4
Let o(f) = -f + 2. Let y be o(-4). Suppose -5*l + y*l - 18 = 0. Suppose -13*g**2 + 16*g + 0 - l*g**3 + 21*g**3 - 4 = 0. What is g?
1/3, 2
Let j(s) = 7*s**3 + 6*s**2 + 3*s. Let d(q) = -4 + 3*q + 4 + 6*q**3 + 6*q**2. Let b = 30 - 26. Let u(p) = b*d(p) - 3*j(p). Factor u(m).
3*m*(m + 1)**2
Let d(m) = 16*m**4 + 21*m**3 + 14*m**2 - 6*m. Let j(t) = -27*t**4 - 41*t**3 - 29*t**2 + 10*t. Let a(s) = 5*d(s) + 3*j(s). Factor a(p).
-p**2*(p + 1)*(p + 17)
Let r be (2038/(-18))/((-217)/35 + 6). Let j = -565 + r. Factor -10/9*d**4 - j*d - 2/9 - 20/9*d**3 - 20/9*d**2 - 2/9*d**5.
-2*(d + 1)**5/9
Let 0 - 8*s**2 + 2/9*s**3 + 72*s = 0. Calculate s.
0, 18
Let i(g) be the second derivative of 0*g**3 - 4*g + 0*g**4 + 1/126*g**7 + 0*g**2 + 1/60*g**5 + 1/45*g**6 + 0. What is r in i(r) = 0?
-1, 0
Let y(x) = x**2 + 6*x - 15. Let j be y(-10). Factor -5*i**3 - j*i**2 - 19*i**2 + 10*i + 39*i**2.
-5*i*(i - 1)*(i + 2)
Let r be ((-3)/(-6)*-1)/(1/70). Let h be 4*40/r - -5. Suppose -6/7*j**2 + 3/7*j**4 + 6/7*j**3 - 3/7*j**5 + 3/7 - h*j = 0. What is j?
-1, 1
Let q(o) be the first derivative of 5*o**3/3 - 235*o**2/2 - 229. Solve q(i) = 0.
0, 47
Let f(m) be the third derivative of 0 + 1/18*m**5 + 8/9*m**3 + 0*m + 11/18*m**4 - 10*m**2. Factor f(c).
2*(c + 4)*(5*c + 2)/3
Suppose 2*g = 14 - 86. Let w be (-3)/(g/(-30)) - -4. Factor 3/4*y**2 - 9/4 + w*y.
3*(y - 1)*(y + 3)/4
Find i, given that -3/2*i**3 - 36*i**2 - 525 - 495/2*i = 0.
-14, -5
Suppose -t + 3*t - 3*q - 19 = 0, 5*q = t - 27. Suppose -2*r + t = -r. Suppose -3*i - 5*i**4 + 3 + 4*i**4 - r + 3*i**3 + 1 - i**2 = 0. What is i?
-1, 1, 2
Factor 3*y**2 - 12108*y + 11884*y + 228 - 7*y**2.
-4*(y - 1)*(y + 57)
Suppose 0 = -v + 1 + 1. What is o in -2*o**2 + 2*o**v - 2*o**2 = 0?
0
Suppose -1/4*k**2 + 9/4*k - 7/2 = 0. What is k?
2, 7
Factor 131 + 84*b + 353*b + 203*b - 7 + 35*b**2 + 56.
5*(b + 18)*(7*b + 2)
Let u = 142 - 115. Suppose 4*p - u = -5*p. What is a in 3*a**p + 1/2*a - 9/4*a**2 + 0 - 5/4*a**4 = 0?
0, 2/5, 1
Let s(a) be the second derivative of -a**10/10080 + a**9/2520 - a**8/2240 - 7*a**4/6 + 5*a. Let m(k) be the third derivative of s(k). Factor m(f).
-3*f**3*(f - 1)**2
Let y(f) = 8*f**3 - f**2 - 48*f - 18. Let r(s) = -9*s**3 + 2*s**2 + 49*s + 18. Let v(b) = 3*r(b) + 4*y(b). Factor v(u).
(u - 3)*(u + 3)*(5*u + 2)
Let l(j) be the first derivative of -j**3/3 + 5*j**2/2 - 6*j - 53. Factor l(a).
-(a - 3)*(a - 2)
Let c(k) be the first derivative of 3*k**5/20 - k**3 + 80. Factor c(b).
3*b**2*(b - 2)*(b + 2)/4
Let p = 113 + -45. Suppose -47*h**2 + 152*h**4 + 7 + 248*h**3 + 72*h**2 + 167*h**2 + 1 + p*h + 36*h**5 = 0. Calculate h.
-1, -2/9
Factor -2133*p - 77 + 168*p**2 + 21 + 2136*p - 3*p**3 - 112.
-3*(p - 56)*(p - 1)*(p + 1)
Let v(b) be the third derivative of 0*b**4 + 8/15*b**7 + 0*b**3 - 11/10*b**6 + 0*b - 5/84*b**8 + 0 - 6/5*b**5 + 38*b**2. Factor v(p).
-4*p**2*(p - 3)**2*(5*p + 2)
Let j(z) be the second derivative of -4*z**6/15 - 2*z**5 + 17*z**4/2 - 34*z**3/3 + 7*z**2 - 175*z. What is t in j(t) = 0?
-7, 1/2, 1
Let x(p) be the first derivative of 2*p**3/45 - p**2/15 - 4*p - 422. Suppose x(w) = 0. Calculate w.
-5, 6
Let b be (-10)/(-14) - (18/(-14) - -1). Let -5 - b - 28*a - 1 - 33*a**2 + 3 = 0. Calculate a.
-2/3, -2/11
Let v = -16 - -18. Factor -9/5*t - 3/5*t**v - 6/5.
-3*(t + 1)*(t + 2)/5
Let o be (-6)/195*(-10)/2. Let m = -33 - -447/13. Solve 0 - 30/13*k**2 + 14/13*k**3 + m*k - o*k**4 = 0 for k.
0, 1, 3
Let p = 913/611 - -7/1222. Factor 3/2*f**2 + 3/2*f**3 - p*f + 0 - 3/2*f**4.
-3*f*(f - 1)**2*(f + 1)/2
Let w(n) be the second derivative of -n**6/10 + 33*n**5/20 + 7*n**4/2 - 12*n**3 + 673*n. Factor w(b).
-3*b*(b - 12)*(b - 1)*(b + 2)
What is f in -8*f**2 + 42*f**2 + 3 - 24*f**2 + 60*f - 41*f**2 + 1 = 0?
-2/31, 2
Let w be (75/(-135))/(3/(-27)). Let r(f) be the third derivative of 0*f + 2*f**2 + 0 + 0*f**3 - 1/28*f**w + 1/28*f**4. Factor r(x).
-3*x*(5*x - 2)/7
Let y(s) = 3*s**2 - 30*s + 72. Let h(p) = p - 4. Let g(q) = 3*h(q) + y(q). Factor g(w).
3*(w - 5)*(w - 4)
Let l(y) be the third derivative of -y**8/1344 + 5*y**7/504 - y**6/18 + y**5/6 - 5*y**4/24 - 5*y**2. Let d(o) be the second derivative of l(o). Factor d(j).
-5*(j - 2)**2*(j - 1)
Let h(g) be the first derivative of -g**6/18 + g**5/3 - 3*g**4/4 + 7*g**3/9 - g**2/3 + 568. What is x in h(x) = 0?
0, 1, 2
Let p(q) = 2112*q**3 - 6712*q**2 + 1124*q - 48. Let y(r) = r**3 - r**2 - r. Let n(f) = p(f) + 4*y(f). Find x, given that n(x) = 0.
2/23, 3
Let j = -4 - -7. Let q = 1 - -1/2. Find s, given that -q*s - 3/2*s**3 + 0 + j*s**2 = 0.
0, 1
Let a = -68/9 - -8/9. Let t = a + 7. Factor 1/3*y**2 - t*y + 0.
y*(y - 1)/3
Let c be (-3)/3 - (-2 + 0 - 1). Let -7*d**2 - d**c - 40*d**3 - 4*d + 36*d**3 = 0. What is d?
-1, 0
Let p(s) = -6*s**5 - 6*s**4 + 9*s**3 + 24*s**2 + 12*s. Let d(v) = -v**5. Let u(h) = 3*d(h) - p(h). Determine c so that u(c) = 0.
-2, -1, 0, 2
Let v = 43/25 + -257/150. Let r(m) be the third derivative of -9*m**2 + 0*m**3 - v*m**5 + 0 + 0*m + 1/20*m**4. Suppose r(g) = 0. Calculate g.
0, 3
Suppose -8 = 6*b + 4. Let z = -2 - b. Factor z*h - 2/3*h**3 + 0 + 2/3*h**2.
-2*h**2*(h - 1)/3
Let r be (-82)/123 + 66/18. Suppose 3/5*w**2 - 1/5*w**4 + w + 2/5 - 1/5*w**r = 0. Calculate w.
-1, 2
Suppose -2*m - 6 = m - 2*b, 0 = 3*b