t v(a) = a**2 + a - 3. Let k(g) = -15122*g**2 + 853*g - 15. Let j(i) = -k(i) + v(i). Find q such that j(q) = 0.
2/71
Let b(d) = 5*d**3 + 3*d**2 - 15*d + 10. Let t(k) = -10*k**3 - 7*k**2 + 30*k - 20. Let i(l) = -7*b(l) - 3*t(l). Determine f, given that i(f) = 0.
-2, 1
Let t be (2 - -2) + (-24)/1. Let v = t - -32. Factor -v*h - 5*h**2 + 7 + h - 4*h - 17.
-5*(h + 1)*(h + 2)
Let p(r) be the second derivative of -r**7/28 + 9*r**6/20 - 9*r**5/5 + 5*r**4/2 + 6*r + 3. Let p(s) = 0. Calculate s.
0, 2, 5
Suppose 2*i + 1 = 3*g, 3*i + 5*g - 22 = 24. Suppose 3*k + 2*z = 8, -4*k = -i*k - z + 7. Factor -2/3*v**k + 4/3*v - 2/3.
-2*(v - 1)**2/3
Suppose 3*a = 4*d + 5, 2*a = 5*d + 6 - 5. Let m(k) be the first derivative of 4*k**2 + 18/5*k**5 + 10 + 21/2*k**4 + 32/3*k**a + 0*k. Let m(o) = 0. Calculate o.
-1, -2/3, 0
Factor 6/7*y + 0 + 2/7*y**2.
2*y*(y + 3)/7
Let w(y) be the first derivative of 0*y + 2/51*y**3 + 0*y**2 - 3/34*y**4 - 5. Find x such that w(x) = 0.
0, 1/3
Suppose -b + 9 = 2*b. Let u = 206 - 198. What is f in 10*f**2 + 0*f**4 - 4*f - f**4 - u*f**3 + b*f**4 = 0?
0, 1, 2
Let y be 9/(-36) - 17/(-4). Suppose 4*t = 4*b, -y*t - 4 = -5*t. Factor -8 - 3*n**2 + 3*n**2 - b*n**2 + 2*n**2 - 8*n.
-2*(n + 2)**2
Factor 0 - 1/2*m + 1/2*m**3 + 3/4*m**2 - 3/4*m**4.
-m*(m - 1)*(m + 1)*(3*m - 2)/4
Let y(j) = 10*j**3 + 13*j**2 - 12*j - 24. Let w(q) = 9*q**3 + 12*q**2 - 12 + 5*q - 9*q - 8*q - 12. Let n(l) = -7*w(l) + 6*y(l). Factor n(k).
-3*(k - 2)*(k + 2)**2
Suppose 50 = 2*z - 12. Suppose 0 = -3*l - 5*i + z, 3*i - 2*i = 2*l - 25. Factor 9*y**2 + 19*y**4 + y**3 - 12*y + 5*y**3 - 22*y**4 - l.
-3*(y - 2)**2*(y + 1)**2
Suppose -3*l + 2*l = 0. Factor l + 0 - 8*a + 4*a**2 - 12.
4*(a - 3)*(a + 1)
Let n(j) = -14*j**2 + 2*j + 90. Let w(r) = 2*r**2 + 4*r + 1. Let h(m) = -n(m) - 6*w(m). Factor h(u).
2*(u - 16)*(u + 3)
Let k = -23/14 + 31/14. Let x = -14017/7 + 2005. Factor 0*f - x*f**5 + 40/7*f**4 - 26/7*f**3 + k*f**2 + 0.
-2*f**2*(f - 1)**2*(9*f - 2)/7
Let a(m) be the first derivative of -3*m**5/10 + 9*m**4/8 - m**3/2 - 9*m**2/4 + 3*m + 113. Suppose a(y) = 0. What is y?
-1, 1, 2
Let i(o) be the second derivative of 1/9*o**2 + 0 - 7/180*o**5 - 8*o + 7/54*o**3 - 1/54*o**4. Factor i(k).
-(k - 1)*(k + 1)*(7*k + 2)/9
Solve 0 + 21/5*s**2 - 3/5*s**3 + 0*s = 0.
0, 7
Let h(m) be the third derivative of 1 + 4/35*m**7 - 8*m**2 + 0*m + 13/30*m**6 + 4/5*m**5 + 0*m**3 + 1/84*m**8 + 2/3*m**4. Factor h(d).
4*d*(d + 1)**2*(d + 2)**2
Let m be (-20)/(-80) - (-30)/8. Let h(x) be the first derivative of 5 + 1/4*x**m + 0*x - 1/10*x**5 + 1/6*x**3 - 1/2*x**2. Factor h(s).
-s*(s - 2)*(s - 1)*(s + 1)/2
Let m(w) = w - 1. Let l be m(4). Let y = -30 - -32. Factor p + p**2 + p**y + 0*p - l*p.
2*p*(p - 1)
Suppose 12 = 5*g - g. Let t = -9 + 17. Solve -i**g + 17*i + t - i - i**3 + 10*i**2 + 4*i**3 = 0.
-2, -1
Let l(c) = -c**2 - 9*c + 8. Let h be l(-10). Let u be 8/h - (-690)/165. Find a, given that 0 + 0*a**3 + 4/11*a**4 - 4/11*a**2 - u*a**5 + 2/11*a = 0.
-1, 0, 1
Let d(c) be the third derivative of c**10/37800 - c**9/15120 + 3*c**5/10 + 4*c**2. Let o(t) be the third derivative of d(t). Let o(v) = 0. Calculate v.
0, 1
Suppose 0*n = -3*n - 12. Let y(v) be the first derivative of 2*v**3 + 3*v**2 - 7*v - 9. Let m(f) = -5*f**2 - 5*f + 6. Let s(t) = n*y(t) - 5*m(t). Factor s(w).
(w - 1)*(w + 2)
Let k be (250/40 - 1) + -1 + -2. Factor 0*r**3 - 3/2*r**4 + 0 - k*r**5 + 0*r**2 + 0*r.
-3*r**4*(3*r + 2)/4
Let m(p) be the second derivative of p**6/2 - 5*p**5/4 - 175*p**4/12 + 125*p**3/6 + 30*p**2 - 190*p. Find i, given that m(i) = 0.
-3, -1/3, 1, 4
Let r = 39 + -40. Let h be -1 + (-4 - -3)/r. Factor h*n**2 + 0*n + 0 - 2/7*n**3 + 2/7*n**4.
2*n**3*(n - 1)/7
Let o(y) be the second derivative of y**9/6048 + y**8/1344 - y**6/144 - y**5/48 - 3*y**4/4 + 13*y. Let h(j) be the third derivative of o(j). Factor h(u).
5*(u - 1)*(u + 1)**3/2
Let f(n) be the third derivative of 0*n + 1/110*n**6 - 29*n**2 + 0 + 1/11*n**4 + 1/1155*n**7 + 13/330*n**5 + 4/33*n**3. Solve f(h) = 0 for h.
-2, -1
Let a(w) be the first derivative of -2*w**2 + 10 - 2/3*w**3 + 0*w. Let a(x) = 0. Calculate x.
-2, 0
Let b be 4 + (-30)/24 + -2. Factor -b*c - 1/4*c**2 - 1/2.
-(c + 1)*(c + 2)/4
Determine v so that 17*v**3 - 1/2*v**5 - 11/4 + 27/2*v - 47/2*v**2 - 15/4*v**4 = 0.
-11, 1/2, 1
Let b be (-3)/(9/21)*-1. Let m(q) = -2*q**2 + 2*q + 4. Let w be m(2). Factor 4*k - 8 + w*k - b*k + 60*k**2 - k.
4*(3*k + 1)*(5*k - 2)
Suppose 3*x + 3*x = 24. Let a be x/18 + 1 + 98/(-90). Factor 2/15*c + 0 - a*c**5 + 4/15*c**2 + 0*c**3 - 4/15*c**4.
-2*c*(c - 1)*(c + 1)**3/15
Let v = 9634/13 + -741. Let i(r) be the second derivative of 2/39*r**3 - v*r**2 + 0 - 1/78*r**4 + 4*r. Factor i(z).
-2*(z - 1)**2/13
Let d(s) be the second derivative of 2*s**6/15 - 2*s**5/5 - 4*s**4 - 28*s**3/3 - 10*s**2 - 27*s + 7. Factor d(w).
4*(w - 5)*(w + 1)**3
Suppose -y + 3*a = 12, -40 = -3*y - 2*y - 5*a. Let x(h) be the second derivative of 6*h + 1/9*h**y + 0*h**2 - 1/4*h**4 + 0. Suppose x(n) = 0. Calculate n.
0, 2/9
Suppose 5*u = -4*q + 39, 4 = -2*q + 5*u + 1. Solve -x**2 + 4*x**2 - q + 306 + 60*x = 0 for x.
-10
Let h(q) be the third derivative of 1/36*q**4 + 2/9*q**3 - 1/90*q**5 + 0 + 17*q**2 + 0*q. Factor h(p).
-2*(p - 2)*(p + 1)/3
Let t(r) = 2*r**3 + 10*r**2 + 6*r - 2. Let h(b) = 10*b + 7 + 2*b**3 - 14 + 4 - 5*b + 10*b**2. Let d(v) = 2*h(v) - 3*t(v). Factor d(z).
-2*z*(z + 1)*(z + 4)
Let i(y) = 14*y**3 - 31*y**2 + 225*y - 288. Let x(m) = 5*m**3 - 10*m**2 + 76*m - 96. Let p(b) = 4*i(b) - 11*x(b). Suppose p(l) = 0. What is l?
4, 6
Suppose 0 = 2*g - 13 - 11. Let h = g - 9. Suppose 3*x**4 - 3*x + h*x**3 + 0*x**4 + x**2 - 4*x**2 = 0. What is x?
-1, 0, 1
Let q(y) be the first derivative of -y**5/105 + 2*y**4/7 - 24*y**3/7 - 10*y**2 + 1. Let v(w) be the second derivative of q(w). Factor v(u).
-4*(u - 6)**2/7
Suppose 0 = -20*y + 31*y + 605. Let v = y - -57. Factor -8/7*h + 8/7 + 2/7*h**v.
2*(h - 2)**2/7
Suppose -66*b + 62*b + 80 = 0. Let v be (b/25)/(4 - 2). Let 0*i - v*i**2 + 0 = 0. Calculate i.
0
Let h(d) = -3*d**4 + 18*d**3 + 6*d**2 - 5*d. Let m = 70 + -74. Let a(j) = -j**3 + j**2. Let w(f) = m*h(f) - 20*a(f). Let w(p) = 0. Calculate p.
-1, 0, 1/3, 5
Let u(b) be the second derivative of 3*b**3 - 2/3*b**4 - 9/5*b**5 + 0 + 2/15*b**6 - 43*b + 3/7*b**7 + 2*b**2. Suppose u(t) = 0. Calculate t.
-1, -2/9, 1
Let x(g) be the third derivative of g**6/360 + g**5/24 - g**4/4 + 41*g**3/6 + 4*g**2 + 5*g. Let q(w) be the first derivative of x(w). Let q(t) = 0. What is t?
-6, 1
Let s(k) be the third derivative of k**7/315 + k**6/60 - k**5/15 + k**4/6 - k**2. Let b(v) be the second derivative of s(v). What is h in b(h) = 0?
-2, 1/2
Let q(b) be the third derivative of -b**5/12 - 75*b**4/2 - 6750*b**3 + 3*b**2 + 48. Let q(l) = 0. Calculate l.
-90
Let i be (2/6)/(15/540). Let j be 63/i - 3 - 2. Solve x + 1 - 1/4*x**3 - j*x**2 = 0.
-2, -1, 2
Let t(d) be the third derivative of d**8/168 - 13*d**7/105 + 17*d**6/30 + 31*d**5/15 - 35*d**4/12 - 49*d**3/3 - d**2 - 12*d. Solve t(n) = 0.
-1, 1, 7
Let t(h) be the first derivative of 25 - 1/5*h**3 + 3/20*h**4 + 0*h - 3/10*h**2 + 3/25*h**5. Suppose t(y) = 0. What is y?
-1, 0, 1
Let l(f) = -f**3 + 4*f**2 + f + 2. Let b(p) = -4*p**3 + 60*p**2 + 52*p + 36. Let n(w) = b(w) - 8*l(w). Suppose n(q) = 0. What is q?
-5, -1
Let j(a) be the second derivative of a**4/48 - 5*a**3/24 - 3*a**2 - 167*a. Solve j(x) = 0.
-3, 8
Let v(p) be the third derivative of -p**8/546 + 8*p**7/1365 - p**6/780 - 7*p**5/390 + 5*p**4/156 - p**3/39 - 2*p**2 - 11*p. Let v(n) = 0. What is n?
-1, 1/2, 1
Let w = -11 - 6. Let g = -13 - w. Suppose 27*j - 75*j - 24*j**3 + 84 - 100 - 4*j**g - 52*j**2 = 0. What is j?
-2, -1
Let n(b) be the first derivative of 2*b**3/39 - 3*b**2/13 + 4*b/13 - 226. Factor n(r).
2*(r - 2)*(r - 1)/13
Let y(v) be the first derivative of -v**4/6 + 10*v**3/3 - 26*v**2/3 - 76. Factor y(p).
-2*p*(p - 13)*(p - 2)/3
Let f(w) be the third derivative of -6*w**2 + 0 + 1/24*w**4 + 0*w - 1/120*w**5 - 1/12*w**3. Suppose f(r) = 0. Calculate r.
1
Let g(f) be the third derivative of -f**5/330 + 10*f**4/33 - 400*f**3/33 - 131*f**2. Solve g(j) = 0.
20
Let z(q) be the third derivative of -q**7/105 - q**6/60 + q**5/10 + 5*q**4/12 + 2*q**3/3 - 5*q**2 + 4*q. Determine t, given that z(t) = 0.
-1, 2
Let v(y) be the second 