Calculate f.
-3, 1
Let i = 2843 - 93817/33. Let h(d) be the first derivative of -25 - 8/11*d + 0*d**2 + i*d**3. What is l in h(l) = 0?
-2, 2
Let q(v) = 2*v**2 - 26*v + 4. Let t be q(12). Let m be (10/2)/(t/(-8)). Suppose 0*r**3 + 2/7*r**4 - 6/7 - 12/7*r**m - 16/7*r = 0. What is r?
-1, 3
Let m(k) be the first derivative of 100*k**2 + 38 + 22*k + 309/2*k**3 + 81/8*k**4. Suppose m(n) = 0. Calculate n.
-11, -2/9
Let n = -171 - -173. Let u be ((-57)/(-5054)*19)/(-1 + 10/7). Factor g + 1/2*g**n + u.
(g + 1)**2/2
Find y, given that 7035 - 45*y + 5*y**3 - 3*y**4 + 21*y**2 + 7*y**3 - 21*y - 7107 = 0.
-2, -1, 3, 4
Let b(t) be the second derivative of -t**3/6 + 25*t**2/2 - 3*t. Let f be b(23). Let 417 - 437 - 2*m - 14*m + 4*m**f = 0. Calculate m.
-1, 5
Let h(w) be the third derivative of -w**7/700 - w**6/100 + w**5/100 + 3*w**4/20 - 5*w**3/2 - w**2 - 38. Let q(o) be the first derivative of h(o). Factor q(r).
-6*(r - 1)*(r + 1)*(r + 3)/5
Let h(i) be the third derivative of -10*i**3 - 1/8*i**4 + 0*i + 126*i**2 + 1/20*i**5 + 0. Find k, given that h(k) = 0.
-4, 5
Let j be (-2*(-3)/(-4))/((-9)/(-1644)). Let y be ((8 + -7)*j)/(2*-1). Suppose 2*g**3 - 137*g + y*g + 0*g**3 = 0. What is g?
0
Let s(m) be the third derivative of -19/6*m**4 - 8/15*m**5 + 1/30*m**6 + 2*m**2 + 0 - m - 20/3*m**3. Let s(n) = 0. What is n?
-1, 10
Let y = 65 + -61. Suppose 5*p = -3*d + 13, p + 3*p - 4*d = y. Factor 23 + 4*g**3 - 7*g - 4*g**p + 3*g - 19.
4*(g - 1)**2*(g + 1)
Let h(t) be the third derivative of 3*t**2 + 10 - 5/72*t**4 - 1/3*t**3 + 0*t + 1/180*t**5. Find z, given that h(z) = 0.
-1, 6
Let d(m) be the second derivative of 0 + 0*m**3 + 1/16*m**5 + 6*m**2 + 1/16*m**4 - 16*m. Let l(j) be the first derivative of d(j). Find p such that l(p) = 0.
-2/5, 0
Let y(p) be the first derivative of -p**6/18 + 62*p**5/5 - 46*p**4 + 550*p**3/9 - 61*p**2/2 - 796. Let y(g) = 0. Calculate g.
0, 1, 183
Let k(o) be the second derivative of o**5/20 + 2*o**4/3 - 51*o**3/2 + 6859*o. Solve k(f) = 0 for f.
-17, 0, 9
Let a(h) = 7*h**2 + 447*h + 512. Let n(o) = 90*o**2 + 5834*o + 6656. Let k(b) = -38*a(b) + 3*n(b). Factor k(p).
4*(p + 1)*(p + 128)
Let y(k) be the first derivative of -2*k**3/15 + 207*k**2/5 + 416*k/5 - 993. Let y(u) = 0. Calculate u.
-1, 208
Suppose -13*f + 22 = -2*f. Find v such that 204*v - 21*v**4 + 5*v**5 + 3*v**f - 109*v + 18*v**3 - 101*v + v**5 = 0.
-1/2, 0, 1, 2
Suppose -5*g = -3*n + 4*n - 12, 3*n = 4*g - 2. Factor 16*l**g + 28*l**2 - 25*l**4 - 40 - 36*l**3 + 21*l**4 + 36*l.
-4*(l - 1)**2*(l + 1)*(l + 10)
Let x(n) be the third derivative of -n**7/525 + 6*n**6/25 - 611*n**5/75 - 222*n**4/5 - 1369*n**3/15 + 246*n**2 - n. Solve x(l) = 0 for l.
-1, 37
Let s be (-1 + 1 - 2) + 3. Let f(g) = 2*g**2 - 10*g - 12. Let k = 145 - 139. Let u(d) = d + 1. Let p(j) = k*u(j) + s*f(j). Factor p(i).
2*(i - 3)*(i + 1)
Solve -120/7*p**2 + 0 + 0*p + 39/7*p**3 - 3/7*p**4 = 0.
0, 5, 8
Let q(l) be the third derivative of 0*l - 1/30*l**5 + 82*l**2 + 0 + 17/6*l**4 - 289/3*l**3. Factor q(r).
-2*(r - 17)**2
Let x(v) = -123*v - 2193. Let i be x(-18). Let r(m) be the second derivative of -5/39*m**3 + 1/78*m**4 + 0 + 4/13*m**2 + i*m. Find w, given that r(w) = 0.
1, 4
Suppose -28/3*n**4 - 188/3*n**3 + 28*n**2 - 56/3 + 188/3*n = 0. What is n?
-7, -1, 2/7, 1
Let t be 1 + 16180/(-30) + 9. Let x = t + 532. Factor 8/3*c**2 - 2/3*c**5 + 0 + x*c**4 - 4*c**3 - 2/3*c.
-2*c*(c - 1)**4/3
What is g in 4/9*g**2 - 1172/9*g + 776/3 = 0?
2, 291
Let p(q) be the third derivative of 5*q**2 - 2 - 1/7*q**3 + 0*q + 1/140*q**5 + 1/56*q**4. Factor p(m).
3*(m - 1)*(m + 2)/7
Let z(c) = -c**2 + 51*c - 573. Let v(d) = 3*d + 3. Let w(b) = -13*b - 13. Let x(t) = 9*v(t) + 2*w(t). Let o(m) = -3*x(m) + z(m). Factor o(s).
-(s - 24)**2
What is n in 1387*n + 2*n**2 - 40 + 4*n**2 - 1403*n - 4*n**2 = 0?
-2, 10
Suppose -5*u + 1561 - 1627 = -27*u. Factor 22/13*j**u - 6*j**2 + 2/13*j**4 - 28/13 + 82/13*j.
2*(j - 1)**3*(j + 14)/13
Factor 552 + 421*c - 153*c + 124*c**2 + 113*c**2 - 360*c**2 + 119*c**2.
-4*(c - 69)*(c + 2)
Determine o so that -81/5 - 2816883/5*o**2 + 26163/5*o + 101094801/5*o**3 = 0.
3/323
Factor 1/6*x**3 - 4/3*x + 0 - 1/3*x**2.
x*(x - 4)*(x + 2)/6
Let m(j) = 12*j + 63. Let l be m(-5). Determine o so that -2363*o**2 - 9*o + 2*o**l - 3*o**3 + 2373*o**2 - 1 + 1 = 0.
0, 1, 9
Let x = 42562 - 42560. What is v in 5/4*v + 0 + 1/4*v**x = 0?
-5, 0
Let o(z) be the second derivative of -10/3*z**3 - 5*z**4 - 5/42*z**7 - 13/4*z**5 + z + 0*z**2 - z**6 + 22. Factor o(t).
-5*t*(t + 1)**2*(t + 2)**2
What is m in m**4 - 1/2*m**5 + 15*m**3 + 15 - 29/2*m - 16*m**2 = 0?
-5, -1, 1, 6
Let f(p) be the third derivative of -p**7/630 + p**6/12 - 13*p**5/15 + 5*p**4/6 + p**3 + 2*p**2 - 27. Let a(x) be the second derivative of f(x). Factor a(z).
-4*(z - 13)*(z - 2)
Let f = 39425 + -39425. Determine c, given that f + c**3 + 0*c - 10/3*c**2 + 1/3*c**4 = 0.
-5, 0, 2
Let v be (90 - 87)/((-3)/(-4)). Suppose -5*t + 18 = -w, -v*w + 5*t - 10 = w. Factor 1/2*x**w - 1/6*x**3 - 1/3 - 1/6*x**4 + 1/6*x.
-(x - 1)**2*(x + 1)*(x + 2)/6
Let z = -18 - -20. Factor z*l**5 + 39 + 16*l**2 - 20*l**3 + 2*l**4 - 39.
2*l**2*(l - 2)*(l - 1)*(l + 4)
Let c(l) be the first derivative of 1/28*l**4 + 0*l - 187 - 2/7*l**2 - 1/7*l**3. Factor c(k).
k*(k - 4)*(k + 1)/7
Let k = 511 - 503. Factor -20*j**2 - 9*j**3 + 12*j**3 - k*j**3 + 3*j - 18*j.
-5*j*(j + 1)*(j + 3)
Let b(y) = -y**3 - 7*y**2 + 2*y + 18. Let f be b(-7). Suppose 2*h**4 + 10*h**4 - 10*h**3 - 3 + 6*h - 9*h**f + 4*h**3 = 0. Calculate h.
-1, 1
Let u(w) = 41*w - 1596. Let d be u(39). Let o = 1348/11 - 122. Factor -18/11*m**d + 0 + o*m**4 + 0*m + 10/11*m**2 + 2/11*m**5.
2*m**2*(m - 1)**2*(m + 5)/11
Let u(f) be the first derivative of -2*f**3/3 + 44*f**2/3 + 448*f/3 + 5778. Suppose u(z) = 0. What is z?
-4, 56/3
Suppose 1761*k - 998*k = 999*k - 708. Let k*r - 3/4*r**4 + 3 - 3*r**3 - 9/4*r**2 = 0. Calculate r.
-2, -1, 1
Let a = -75567/4 - -1587707/84. Let 0 + 2/21*x**4 + 5000/21*x**2 + 0*x - a*x**3 = 0. Calculate x.
0, 50
Determine f, given that 3758*f - 19*f**5 + 50*f**5 - 3758*f - 28*f**5 - 48*f**3 + 144*f**2 - 9*f**4 = 0.
-4, 0, 3, 4
Let s(z) = z**2 - 50*z + 305. Let x be s(43). Let l(k) be the second derivative of 1/30*k**6 + 0 + k**x + 0*k**2 - 3/10*k**5 - 4/3*k**3 + 13*k. Factor l(v).
v*(v - 2)**3
Let n(y) = -y**2 + 25*y + 118. Let o be n(-4). Let b(v) be the third derivative of -1/10*v**5 + 1/200*v**6 + 0 + 5/8*v**4 + 0*v + 0*v**3 - 17*v**o. Factor b(q).
3*q*(q - 5)**2/5
Let m(s) be the second derivative of -s**4/3 - 170*s**3/3 - 168*s**2 - 290*s. Factor m(o).
-4*(o + 1)*(o + 84)
Let t = -90635 + 90637. Solve -2/21*o**5 - 2/21*o - 4/21*o**t + 2/21 + 2/21*o**4 + 4/21*o**3 = 0 for o.
-1, 1
Let -7/3*j**3 + 2*j**4 - 8 - 1/3*j**5 + 44/3*j - 6*j**2 = 0. What is j?
-2, 1, 2, 3
Let z(m) be the third derivative of -1/600*m**6 + 0*m**3 - 1/300*m**5 + 5*m + 0 - 6*m**2 + 0*m**4. Factor z(r).
-r**2*(r + 1)/5
Let p = 3586201/120 - 29885. Let g(c) be the second derivative of 1/80*c**5 - 29*c - 1/4*c**2 + p*c**6 + 0 - 1/16*c**4 - 5/24*c**3. What is r in g(r) = 0?
-1, 2
Let -405*t**2 - 395/2*t**3 + 5/2*t**4 + 0 + 0*t = 0. What is t?
-2, 0, 81
Suppose -m = -0*u + 3*u - 47, -5*m - 17 = -3*u. Suppose -6 = 2*x - u. Find c, given that c - c**2 - c + 16*c**3 + 13*c**2 - x*c = 0.
-1, 0, 1/4
Let k(l) = 10*l**3 + 100*l**2 + 400*l - 500. Let w be 15/3 + 0/(-4). Let n(f) = f**3 + f**2. Let c(i) = w*n(i) - k(i). Factor c(v).
-5*(v - 1)*(v + 10)**2
Let f(a) be the first derivative of -5*a**4/4 - 230*a**3/3 + 155*a**2/2 + 76880*a + 660. Determine c so that f(c) = 0.
-31, 16
Suppose 15*m - 2029 - 7946 = 0. Let y = 669 - m. Let 1/6 + 1/4*g - 1/3*g**3 - 1/6*g**2 + 1/12*g**5 + 0*g**y = 0. Calculate g.
-1, 1, 2
Suppose -135*x + 137*x = 8. Suppose -2*y + 2*g = -10, x*y - 5*g - 17 = 5. Suppose -3 + 3*b**2 - 3/4*b**y + 3/4*b = 0. What is b?
-1, 1, 4
Let o(q) = -20*q**4 + 44*q**3 + 28*q**2 - 9*q - 18. Let h(j) = 22*j**4 - 44*j**3 - 26*j**2 + 10*j + 20. Let g(y) = -9*h(y) - 10*o(y). Solve g(r) = 0.
-1, 0, 23
Suppose 0 = 3*l - 3*q - 15, 2*l - q - 7 = 1. Let g = 109/28 - 15/7. Determine w, given that 4 + 1/4*w**l + 2*w - g*w**2 = 0.
-1, 4
Let u(w) = -w**4 + 2*w**3 + w**2 + 1. Let j(o) = -20*o**4 + 10*o**3 - 130*o**2 - 110*o + 25. Let r(q) = j(q) - 25*u(q). Factor r(l).
5*l*(l - 11