i) = 8*i**5 - i**3 - 3*i**2 - 10*i + 5. Let m(s) = -s**3 + s**2 + 2*s - 1. Let w(g) = -10*m(g) - 2*p(g). What is a in w(a) = 0?
-1, 0, 1/2
Let i(d) be the first derivative of -d**7/4 - d**6/60 + 2*d**5/5 - d**4/6 - 15*d - 7. Let z(l) be the first derivative of i(l). Solve z(m) = 0.
-1, 0, 2/7, 2/3
Determine j so that 17*j**3 + 18*j**3 - 5*j**4 + 5*j - 55*j**3 + 5*j**2 + 15*j**3 = 0.
-1, 0, 1
Let t(s) be the third derivative of s**8/98 + 19*s**7/245 + 31*s**6/140 + 19*s**5/70 + s**4/28 - 2*s**3/7 + 39*s**2 + 2. Let t(y) = 0. Calculate y.
-2, -1, 1/4
Let c(y) = -y**3 + y**2 + 4*y - 2. Let q be c(-2). Suppose -64/9 + 32/9*p - 4/9*p**q = 0. Calculate p.
4
Let q(o) be the first derivative of 4*o**3/3 - 8*o**2 + 12*o - 93. Factor q(t).
4*(t - 3)*(t - 1)
Let p(x) = 359*x**3 - 78*x**2 + 6*x. Let g(t) = t**3 + t**2 - t. Let b = -1 - -3. Let w(f) = b*g(f) + p(f). Solve w(v) = 0.
0, 2/19
Suppose -3*l + 9*l**2 + l**4 - 14/3 + 25/3*l**3 = 0. Calculate l.
-7, -1, 2/3
Suppose h + 3 - 5 = 0. Suppose h = -5*j + 6*j. Factor -5*p**j + p**3 + 2*p**3 + p**4 + 0*p**3 + 2*p - p**5.
-p*(p - 1)**3*(p + 2)
Suppose 5*m = 4*k - 6, -m = 4*k + 3*m - 24. Factor -n**3 + 2*n**k - 8*n**2 + 5*n + 16 - 10 - 3*n**3 - n.
2*(n - 3)*(n - 1)*(n + 1)**2
Let r(y) be the first derivative of y**6/900 - y**5/450 - y**4/180 + y**3/45 + y**2 + 4. Let o(c) be the second derivative of r(c). Factor o(j).
2*(j - 1)**2*(j + 1)/15
Let x be 6 + ((-10)/5 - 2). Determine p, given that 2/9*p**4 - 14/9*p**3 + 16/9 - 40/9*p + 4*p**x = 0.
1, 2
Let v(w) be the second derivative of -w**5/150 - 5*w**4/9 - 97*w**3/45 - 16*w**2/5 - 288*w. Factor v(r).
-2*(r + 1)**2*(r + 48)/15
Suppose -4*p - 8 = -b + 2, 18 = 4*b - 5*p. Factor -6*t + 2*t - 182 + 4*t**3 + 202 - 20*t**b.
4*(t - 5)*(t - 1)*(t + 1)
Let l be (6 + -2)/(4/18). Let -6*h**2 + 2*h**2 + 18*h - l*h = 0. What is h?
0
Let r(x) = -2*x**2 + 6*x - 8. Let f(n) = 2*n**2 - 5*n + 9. Let j(l) = 2*f(l) + 3*r(l). Determine h, given that j(h) = 0.
1, 3
Factor 121*w**2 - 43/4*w**4 + 0 + 0*w - 110*w**3 - 1/4*w**5.
-w**2*(w - 1)*(w + 22)**2/4
Let d(j) be the second derivative of -21175*j**7/6 - 9548*j**6/3 - 4614*j**5/5 - 248*j**4/3 - 8*j**3/3 + 2*j + 25. Factor d(q).
-q*(7*q + 2)**2*(55*q + 2)**2
Let q = -106 - -150. Let u be (q/16 + -2)*(3 + -1). Let -u*c**4 + 0 + 3*c**3 + 0*c**2 + 0*c = 0. What is c?
0, 2
Suppose -143 + 108 = -5*c. Factor -c*n**3 - n**4 - 6*n**3 + 18*n**3 - 6*n**2 + 8 - 4*n.
-(n - 2)**3*(n + 1)
Let z(s) be the first derivative of -3*s**3 - 1/30*s**5 - 3 - 3/2*s**2 + 1/2*s**4 + 0*s. Let a(d) be the second derivative of z(d). Factor a(w).
-2*(w - 3)**2
Let f(d) = -d**3 + d. Let k(y) = -2*y**4 + 7*y**3 - 16*y**2 - 7*y + 18. Let z(s) = 5*f(s) - k(s). Factor z(a).
2*(a - 3)**2*(a - 1)*(a + 1)
Suppose 5*x + 35 = 3*u + 3*x, u = 4*x + 25. Let i be 60/u*(47/15 - 3). Factor i + 14/9*m**4 + 2/9*m**5 + 32/9*m + 50/9*m**2 + 38/9*m**3.
2*(m + 1)**3*(m + 2)**2/9
Let a = -109 - -163. Let x be ((-2)/a)/(18/(-108)). Determine m so that -x*m**3 + 0*m + 0 + 0*m**2 = 0.
0
Let k(w) = -w**2 - 20 - 4*w**2 - 7*w**2 + 11 - 11*w. Let r(y) = 14*y**2 + 10*y + 8. Let b(o) = -6*k(o) - 5*r(o). Factor b(q).
2*(q + 1)*(q + 7)
Let d(r) = 7*r**3 - 6*r - 4. Let i(y) = 10*y**3 - 9*y - 6. Let p(a) = 7*d(a) - 5*i(a). Find g such that p(g) = 0.
-1, 2
Suppose -5*p**2 - 33*p - 86*p + p**2 - 25*p = 0. What is p?
-36, 0
Let w(y) be the second derivative of -y**4/8 - 7*y**3/6 - 2*y**2 + 3*y - 9. Factor w(q).
-(q + 4)*(3*q + 2)/2
Let o = 20289/5 + -4045. Let q(g) be the first derivative of 8 + o*g**2 + 64/5*g + 1/2*g**4 - 76/15*g**3. Factor q(p).
2*(p - 4)**2*(5*p + 2)/5
Factor -36/7*f + 39/7*f**2 + 12/7 - 18/7*f**3 + 3/7*f**4.
3*(f - 2)**2*(f - 1)**2/7
Let a(o) = 4*o**3 - 4*o - 6. Let c(b) = b**3 + b. Suppose -3*f + 8*f = 0, 2*d + f = -4. Let y(p) = d*a(p) + 6*c(p). Find g, given that y(g) = 0.
-2, -1, 3
Let b(o) = 357*o**2 + 396*o + 102. Let l be 28/(-16) + 15/20. Let i(s) = -s**2 - 1. Let y(c) = l*b(c) + 6*i(c). Factor y(r).
-3*(11*r + 6)**2
Let k be (-161)/69*(-6)/7. Let u(f) be the second derivative of 0 + 1/4*f**k - 1/24*f**3 + 8*f - 1/48*f**4. Suppose u(h) = 0. What is h?
-2, 1
Let k(q) be the first derivative of 2*q**5/35 - 5*q**4/14 + 2*q**3/3 - 3*q**2/7 + 472. Factor k(a).
2*a*(a - 3)*(a - 1)**2/7
Let -9/4*p**3 - 5/2 - 1/4*p**4 - 27/4*p - 25/4*p**2 = 0. Calculate p.
-5, -2, -1
Let r(l) be the second derivative of 0*l**2 + 0 + 1/3*l**3 + 6*l - 1/40*l**5 + 1/8*l**4. Factor r(z).
-z*(z - 4)*(z + 1)/2
Let n = 263 - 263. Factor -4/3*l**3 + 0 + n*l**2 + 4/3*l.
-4*l*(l - 1)*(l + 1)/3
Let d be 164/(-24) - 10/((-70)/49). What is y in 3/2 + y + d*y**2 = 0?
-3
Let a(s) be the third derivative of s**5/80 + 5*s**4/16 - 62*s**2. Factor a(n).
3*n*(n + 10)/4
What is t in -18*t - 4*t + t**2 - 6*t**2 - 48 + 3*t**2 = 0?
-8, -3
Let h(v) be the first derivative of -v**4/30 - v**3/5 + 4*v**2/5 + 10*v - 15. Let t(s) be the first derivative of h(s). What is x in t(x) = 0?
-4, 1
Let m(s) be the first derivative of -s**8/10920 - s**7/2730 - s**6/2340 + 2*s**3 + 3. Let v(d) be the third derivative of m(d). Factor v(y).
-2*y**2*(y + 1)**2/13
Let x be 3*(2 + (-4)/6). Factor 18*m**x - 68*m**4 - 64*m - 320*m**2 - 69*m**4 - 57*m**4 - 28*m**5 - 384*m**3.
-4*m*(m + 2)**3*(7*m + 2)
Let n be -6 + -2 - (4 + -11 - 7). Let g(x) be the third derivative of -4*x**2 + 0*x**5 + 0*x + 0*x**3 + 1/36*x**4 - 1/180*x**n + 0. Let g(t) = 0. Calculate t.
-1, 0, 1
Let w be (-2)/8 - 493/(-116). Factor -1/2*d - 1/2*d**w + 1/2*d**3 + 0 + 1/2*d**2.
-d*(d - 1)**2*(d + 1)/2
Let h = 293 + -287. Let f(u) be the third derivative of 0 + 2/21*u**3 - 1/28*u**4 - h*u**2 + 1/210*u**5 + 0*u. Factor f(s).
2*(s - 2)*(s - 1)/7
Let n(h) be the third derivative of -h**5/150 - h**4/20 - 2*h**3/15 - 533*h**2. Let n(x) = 0. What is x?
-2, -1
Let n = -6834 - -41005/6. Factor 1/6*b**3 + 1/2 - n*b - 1/2*b**2.
(b - 3)*(b - 1)*(b + 1)/6
Suppose -4*v + 3*n = 7*n - 60, -2*v - 5*n = -30. Let g be (v/(-6))/((-5)/4). Determine q, given that 4*q + q**2 + 3*q**2 + 3*q**g + 3*q**2 = 0.
-2/5, 0
Suppose 6/13*a**3 + 0 - 22*a**2 + 188/13*a = 0. Calculate a.
0, 2/3, 47
Let h = -9 + 13. Suppose 2*o = -h*g + 4, o + o = g - 11. What is k in 4 - 3*k**2 + 3*k**3 - 2*k**g - 2 + 2 = 0?
-1, 2
Suppose 688*x**2 - 96*x - 1096*x**3 - 508*x**4 + 112*x**5 + 1 - 10 + 9 = 0. Calculate x.
-2, 0, 1/4, 2/7, 6
Let j(g) be the second derivative of 0 - 26*g - 1/70*g**5 - 3/7*g**2 + 5/21*g**3 - 1/42*g**4. Factor j(r).
-2*(r - 1)**2*(r + 3)/7
Let o(k) = -5*k**4 - k**3 + 9*k**2 + k - 12. Let i(b) = 6*b**4 + 2*b**3 - 10*b**2 - 2*b + 14. Let m(u) = 4*i(u) + 5*o(u). What is n in m(n) = 0?
-1, 1, 4
Let k = 51704 - 5687509/110. Let h = -5/22 - k. Factor -4/5*u**2 + 0 + 0*u + 2/5*u**4 - h*u**3.
2*u**2*(u - 2)*(u + 1)/5
Let x = -15/16 + 109/48. Let i(t) be the second derivative of 0 + 3*t**2 - x*t**3 + 1/6*t**4 + t. Factor i(a).
2*(a - 3)*(a - 1)
Let o(x) be the third derivative of 1/60*x**6 + 1/336*x**8 - 1/70*x**7 + 0 - 1/8*x**4 + 0*x + 1/6*x**3 - 27*x**2 + 1/30*x**5. Find p, given that o(p) = 0.
-1, 1
Let p(w) = 2*w**3 + w**2 - 1. Let s(z) = 24*z**4 + 36*z**3 + 15*z**2 - 2*z + 5. Let u(b) = 10*p(b) + 2*s(b). Factor u(x).
4*x*(x + 1)**2*(12*x - 1)
Let b = 3309/4 + -9923/12. Factor -b*o**2 - 4/3 + 5/3*o.
-(o - 4)*(o - 1)/3
Let d be 433*((-72)/15 + 5). Let h = -85 + d. What is c in -6/5*c**2 + h + 0*c - 2/5*c**3 = 0?
-2, 1
Factor -35/3*q**2 - 20/3 - 80/3*q.
-5*(q + 2)*(7*q + 2)/3
Let h = -538/7 - -2711/35. Suppose 5*k - 3*n - 25 = 0, 4*n - 3*n - 3 = -4*k. Factor -6/5*s + 0 - h*s**k.
-3*s*(s + 2)/5
Let m(b) be the third derivative of -b**8/840 - b**7/175 - b**6/150 - 44*b**2 - 2. Let m(j) = 0. What is j?
-2, -1, 0
Let o(i) be the second derivative of -5*i**4/12 - 20*i**3 - 52*i + 2. Suppose o(q) = 0. What is q?
-24, 0
Let v(l) be the first derivative of -9 - 8/3*l**2 + 4/9*l**3 - 20/3*l. Solve v(w) = 0.
-1, 5
Let p = 58/15 - 16/5. Let b = 390 + -387. Factor 0 + 4/3*k**2 - 2/3*k**b - p*k.
-2*k*(k - 1)**2/3
Factor 5*x - 13*x**3 - 4*x**4 + 5*x**3 + 84*x**2 - 18*x - 59*x.
-4*x*(x - 3)*(x - 1)*(x + 6)
Let q(x) = -2*x**2 + x + 1. Let d(y) = -18*y**2 + 58*y - 40. Let o(j) = -d(j) + 10*q(j). Determine g so that o(g) = 0.
-25, 1
Let y(p) be the second derivative of p**5/90 - 4*p**4/27 + 17*p**3/27 - 10*p**2/9 - 66*