pose -28 = 3*s + w, -w = -3*s + 3*w - 53. Let b be (-2)/s + 126/33. Let -3*t - 3*t**4 + 1 + 2*t**b + t + 2*t**3 = 0. Calculate t.
-1, 1
Let u(v) = 61*v**2 + 152*v - 43. Let a(h) = 30*h**2 + 76*h - 22. Let l(j) = 5*a(j) - 2*u(j). Factor l(i).
4*(i + 3)*(7*i - 2)
Let f(w) be the second derivative of -w**6/30 + w**5/5 - w**4/3 - 419*w. Solve f(k) = 0 for k.
0, 2
Let n(h) be the first derivative of 6*h**5/5 - 4*h**4 + 14*h**3/3 - 2*h**2 + 364. Solve n(w) = 0.
0, 2/3, 1
Let n(o) = o**3 - 2*o**2 + 2. Let y(j) = -241*j**2 + 19683*j - 531443. Let x(v) = -n(v) - y(v). Solve x(t) = 0 for t.
81
Let k(s) be the second derivative of 0 + 9*s - 3/2*s**2 - 5/16*s**4 + s**3 + 3/80*s**5. Factor k(r).
3*(r - 2)**2*(r - 1)/4
Let q(v) be the third derivative of -v**6/540 + v**5/3 - 75*v**4/4 + 270*v**2. Let q(g) = 0. What is g?
0, 45
Factor 32 - 48*w - 58*w**2 + 76*w**2 + 96*w.
2*(3*w + 4)**2
Let y(t) = t**2 - t + 5. Let f be y(0). Suppose f*v - 6*v = -2. Factor 10*x**5 + 2*x**v + 7*x**5 - 2*x**3 - 2*x**4 - 15*x**5.
2*x**2*(x - 1)**2*(x + 1)
Suppose -2*k + 2 = 0, -15 = -4*s + s - 3*k. Suppose -4*r - 5*q = -0*r + 12, s*r = -2*q. Let -16/9 - 56/9*t + r*t**4 + 2/3*t**3 - 52/9*t**2 = 0. What is t?
-1, -2/3, 2
Let r(b) be the second derivative of -10*b - 1/9*b**3 + 0 - 3/20*b**5 + 0*b**2 - 11/36*b**4. Factor r(m).
-m*(m + 1)*(9*m + 2)/3
Let q(o) be the first derivative of -o**4/12 - 5*o**3/3 - 14*o - 44. Let y(z) be the first derivative of q(z). Suppose y(g) = 0. Calculate g.
-10, 0
Let g(u) be the second derivative of 11*u**4/42 + 17*u**3/7 - 20*u**2/7 - 122*u. Find m, given that g(m) = 0.
-5, 4/11
Let k(c) = -2*c + 3. Let y be k(0). Suppose 0 = -5*x - g + 4*g + 22, -y*x = -4*g - 22. Let 2*s + 0*s**2 - 4*s**2 - s**3 + 2*s**2 - s**3 + x = 0. Calculate s.
-1, 1
Let d(w) be the third derivative of w**7/630 - w**6/360 - w**5/15 - w**4/18 + 8*w**3/9 - w**2 + 71. Factor d(v).
(v - 4)*(v - 1)*(v + 2)**2/3
Let q(r) be the first derivative of -r**3/33 - 51*r**2/11 - 2601*r/11 + 142. Determine p, given that q(p) = 0.
-51
Let m(p) = p**3 - 4 - p + 0*p**2 + 2*p - 6*p**2. Let a be m(6). Factor 4*h - 8 - 7 + 13 - 2*h**a.
-2*(h - 1)**2
Suppose 99*c**3 + 82*c**4 + 81*c**3 - 11 - 8 - 13 + 18*c**4 - 144*c - 104*c**2 = 0. Calculate c.
-2, -2/5, 1
Let h(z) be the third derivative of -z**6/80 - 57*z**5/40 + 287*z**2. Factor h(p).
-3*p**2*(p + 57)/2
Suppose 4*g = g - 54. Let x be (-166)/g - 2/9. Determine s so that -6*s + 2*s**2 - 3*s**2 + x - 2*s**2 = 0.
-3, 1
Let d be (-999)/333 - 2/20*-34. Find g, given that 0*g**2 + d*g**3 - 8/5*g + 0 = 0.
-2, 0, 2
Suppose -2*k = 10, -3 = -v + 2*v + k. Find i, given that 8*i + 16*i + 16*i - 36*i + 2*i**v = 0.
-2, 0
Let v(g) = g**4 + g**3 - 5. Let m(y) = 21*y**4 - 12*y**3 - 90*y**2 - 75*y - 33. Let z(u) = -m(u) + 3*v(u). What is o in z(o) = 0?
-1, -2/3, -1/2, 3
Suppose 72/7*l + 0 - 15/7*l**4 - 39/7*l**2 - 18*l**3 = 0. What is l?
-8, -1, 0, 3/5
Let d(q) be the first derivative of q**6/18 + 3*q**5/5 + 7*q**4/6 - 34*q**3/9 - 5*q**2/2 + 25*q/3 + 135. Determine f so that d(f) = 0.
-5, -1, 1
Let k be (10/35)/(2/56). What is i in 0*i**2 + 5*i - i**2 - k*i + 4*i**2 = 0?
0, 1
Let f(o) be the second derivative of 0 + 1/9*o**3 - 1/20*o**5 + 0*o**2 + 1/90*o**6 - 29*o + 1/126*o**7 - 1/36*o**4. Factor f(i).
i*(i - 1)**2*(i + 1)*(i + 2)/3
Let s be -2 + 2 - (0 + 1/(-5))/1. Solve -9/5*r**2 - 16/5 + 24/5*r + s*r**3 = 0.
1, 4
Let z(p) = -2*p**2 - 14*p + 34. Let w(g) = g**2 - g. Let y(u) = -5*w(u) - 5*z(u). Factor y(b).
5*(b - 2)*(b + 17)
Let j(n) be the third derivative of -11/168*n**8 + 17/30*n**5 + 13*n**2 - 1/6*n**4 + 1/3*n**7 + 0*n - 13/20*n**6 + 0*n**3 + 0. Factor j(p).
-2*p*(p - 1)**3*(11*p - 2)
Factor 484/3*h - 40*h**2 - 16/3.
-4*(h - 4)*(30*h - 1)/3
Let b(i) be the second derivative of i**7/8820 + i**6/420 + i**5/84 - 31*i**4/12 + 5*i. Let l(t) be the third derivative of b(t). Factor l(p).
2*(p + 1)*(p + 5)/7
Let l(t) be the first derivative of t**5/5 + 5*t**4/28 - 3*t**3/7 - 5*t**2/14 + 2*t/7 - 199. Determine w so that l(w) = 0.
-1, 2/7, 1
Let a(n) be the second derivative of n**6/150 - n**5/50 - n**4/12 + n**3/5 + 13*n + 4. Find m such that a(m) = 0.
-2, 0, 1, 3
Let v(n) be the first derivative of -20 + 3/4*n**2 + n + 1/6*n**3. Factor v(b).
(b + 1)*(b + 2)/2
Let j(w) be the first derivative of 9*w**4/28 + 47*w**3/21 + 5*w**2/7 - 60. Factor j(p).
p*(p + 5)*(9*p + 2)/7
Let t(v) = -3*v**4 + 2*v**3 + 16*v**2 + 8*v + 4. Let q(x) = -5*x**4 + 5*x**3 + 31*x**2 + 16*x + 7. Let a(u) = 4*q(u) - 7*t(u). Find h such that a(h) = 0.
-2, 0
Let k(h) be the first derivative of 3/35*h**5 + 1/4*h**4 + 1/14*h**2 + 0*h + 6 + 5/21*h**3. Factor k(z).
z*(z + 1)**2*(3*z + 1)/7
Let p = 11665 - 23305/2. Factor 9/2 - 15*s + p*s**2.
(5*s - 3)**2/2
Let x(m) = m**2 + 31*m + 2. Let y be x(-31). Let w(o) be the first derivative of -2/3*o**3 - 2*o**y + 2 - 2*o. Suppose w(p) = 0. Calculate p.
-1
Let l(j) = -7*j + 7. Let v be l(1). Let t(d) be the third derivative of v*d**4 - 11*d**2 + 0*d + 0 - 2/15*d**6 + 0*d**3 - 2/105*d**7 - 1/5*d**5. Factor t(q).
-4*q**2*(q + 1)*(q + 3)
Let c(z) be the second derivative of 0*z**2 + 2*z**3 + 0 + 3/10*z**6 - 20*z - 33/20*z**5 + 2*z**4. Find w, given that c(w) = 0.
-1/3, 0, 2
Determine j so that 183*j**4 - 39*j**2 + 48*j**2 + 8*j**3 - 2*j**3 - 186*j**4 = 0.
-1, 0, 3
Let l(g) be the third derivative of -g**5/36 + 5*g**4/12 - 20*g**3/9 - 4*g**2 - 6. Factor l(x).
-5*(x - 4)*(x - 2)/3
Let b(i) = i**3 + 5*i**2 + 4*i + 17. Let k be b(-5). Let p be (1/(-3))/(70/40 + k). Determine g, given that -p*g + 2/15*g**2 - 2/5 = 0.
-1, 3
Suppose -156 - 114 = -135*p. Let i be ((-1)/(22/(-8)))/2. Factor 0 + 14/11*r**p + 4/11*r + 18/11*r**3 + i*r**5 + 10/11*r**4.
2*r*(r + 1)**3*(r + 2)/11
Let i(g) = 3*g + 6. Let n be i(6). Factor -482*s + 3*s**3 - n - 14*s**2 - 4*s**2 + 518*s.
3*(s - 2)**3
Let o(q) be the second derivative of -q**4/12 + 26*q**3 - 3042*q**2 - 569*q. Let o(i) = 0. Calculate i.
78
Let v(x) = x**2 - 9*x + 8. Let i be v(8). Suppose 19*c - 17*c - 4 = i. Let -2/9*t**3 - 2/9*t**c - 2/3 + 10/9*t = 0. What is t?
-3, 1
Let a(h) be the second derivative of -h**5/90 - h**4/18 + 4*h**3/27 + 67*h. Factor a(j).
-2*j*(j - 1)*(j + 4)/9
Suppose 0 = -3*b - k + 10, b = -2*k + 8 + 2. Factor b*i**2 - 803*i**4 + 0*i**2 + 4*i**3 + 805*i**4.
2*i**2*(i + 1)**2
Factor -156/7 + 3/7*c**2 + 72/7*c.
3*(c - 2)*(c + 26)/7
Let b = -73486/9 - -8166. Factor 0 - b*k + 4/9*k**3 + 4/9*k**2.
4*k*(k - 1)*(k + 2)/9
Let j(r) be the first derivative of r**5/20 + 3*r**4/16 - 2*r**3 + 7*r**2/2 - 303. Suppose j(p) = 0. Calculate p.
-7, 0, 2
Let y = 9 + -7. Let j(t) = -t**3 + 2*t**2 - t + 2. Let d be j(y). Solve 0*b**2 + 3/4*b**3 + 3/4*b**5 + 3/2*b**4 + d + 0*b = 0 for b.
-1, 0
Suppose 20642*r**4 - 6655*r**5 - 103*r**3 + 9608*r**4 - 6533*r**3 + 2680*r**2 - 160*r - 8544*r**3 = 0. Calculate r.
0, 2/11, 4
Suppose 5*c = -3*f + 19, -4*f = -38*c + 41*c - 18. Suppose 3*v + 9/2*v**4 - 9/2*v**2 + 0 + 15/2*v**5 - 21/2*v**f = 0. What is v?
-1, 0, 2/5, 1
Suppose -3*o - 4*n + 40 = 0, o = -2*n + 3*n + 11. Factor 14*l**3 - 30*l**3 + 15*l**2 - 8*l**4 + o*l - 7*l**2 + 4*l**5.
4*l*(l - 3)*(l - 1)*(l + 1)**2
Let j(k) be the first derivative of -3/4*k - 1/8*k**3 - 19 - 9/16*k**2. What is o in j(o) = 0?
-2, -1
Let v be 2/(-18) - 13*(-10)/390. Find k, given that -2/3*k**2 + 0*k**3 - 4/9*k + 0 + v*k**4 = 0.
-1, 0, 2
Let s(j) be the first derivative of j**3/5 - 3*j**2/10 - 6*j/5 - 23. Factor s(f).
3*(f - 2)*(f + 1)/5
Factor -121/3 - 4*m**2 + 1/6*m**3 + 55/2*m.
(m - 11)**2*(m - 2)/6
Let w(i) = i**3 + 2*i - 49. Let z be w(0). Let p = z - -51. Factor -6/7*f - 4/7 - 2/7*f**p.
-2*(f + 1)*(f + 2)/7
Let a be 2/((-24)/(-20)) - 3/(-9). Let y(r) be the first derivative of -1/6*r**4 - 13 - 1/3*r**a - 4/9*r**3 + 0*r. Factor y(p).
-2*p*(p + 1)**2/3
Let l(a) be the first derivative of 2*a**6/51 - 22*a**5/85 + a**4/2 + 4*a**3/51 - 20*a**2/17 + 16*a/17 + 66. Find k such that l(k) = 0.
-1, 1/2, 2
Let y(c) be the first derivative of 0*c**3 + 0*c - 9/10*c**5 - 16 + 0*c**2 + 3/4*c**4 + 1/4*c**6. Let y(a) = 0. Calculate a.
0, 1, 2
Solve 0 + 27/2*a**4 + 0*a + 21*a**2 - 195/2*a**3 = 0 for a.
0, 2/9, 7
Suppose 8*k - 10 = 3*k. Suppose 0 = 2*f + 4*h - 28, -2*f = k*f + 4*h - 76. Factor 3 - 3 - 12*w - f*w**2 - 9*w**3.
-3*w*(w + 2)*(3*w + 2)
Let q be -3 - (39/(-