t w = -214 - -216. Solve 66 - 50*j**2 + 200*j**w - 48*j**2 - 51*j**2 - 49*j**2 - 68*j = 0.
1, 33
Suppose -14 = 3*z - 8. Let c be 525/1300 + z/13*1. Factor -1/2 + c*x + 1/4*x**2.
(x - 1)*(x + 2)/4
Let u(k) = -10*k**3 + 66*k**2 + 44*k - 4. Let l(o) = o**3 - o**2 + 1. Suppose -5 = 7*v - 12. Let t(g) = v*u(g) + 4*l(g). Factor t(p).
-2*p*(p - 11)*(3*p + 2)
Suppose 14*q + 78 = 3*g + 17*q, -g + 3*q - 2 = 0. Let a(t) be the third derivative of -g*t**2 - 1/6*t**3 + 0*t + 1/240*t**5 - 1/32*t**4 + 0. Factor a(c).
(c - 4)*(c + 1)/4
Let w(d) be the second derivative of 8978*d**2 - 268/3*d**3 + 1/3*d**4 + 43 + 2*d. Let w(q) = 0. Calculate q.
67
Let y be ((-3)/(-5))/(7/(-35)) - -5. Determine u so that -u**2 + 5*u**y + 466 - 506 - 36*u = 0.
-1, 10
Let m(s) = -2*s**4 - 91*s**3 - 1119*s**2 + 3545*s + 10843. Let b(q) = -q**4 - 46*q**3 - 560*q**2 + 1772*q + 5420. Let o(v) = 9*b(v) - 4*m(v). Factor o(z).
-(z - 4)*(z + 2)*(z + 26)**2
Let i = 1 + 1. Let o be (-2)/2*(17 + -20). Solve -27*n**3 + 15*n - 10 + 93*n**i + 67*n**o - 3*n**2 = 0 for n.
-2, -1/2, 1/4
Let s(o) be the first derivative of -43*o**2 + 27 + 7 - o**3 - 38*o**2 + 54*o**2. What is g in s(g) = 0?
-18, 0
Let c(l) be the third derivative of l**7/42 - 43*l**5/12 + 35*l**4/4 - l**2 + 34*l + 81. Factor c(a).
5*a*(a - 6)*(a - 1)*(a + 7)
Let r(z) = 2*z**2 - 14*z + 2. Let j(u) = 2*u**2 - 14*u + 3. Suppose 0 = 5*p + 41 - 66. Suppose 24 = p*l + 9. Let q(d) = l*r(d) - 2*j(d). Solve q(g) = 0.
0, 7
Let t(q) = 96*q**3 + 4796*q**2 + 5128*q + 404. Let y(f) = -95*f**3 - 4795*f**2 - 5123*f - 405. Let v(i) = -3*t(i) - 4*y(i). Determine n, given that v(n) = 0.
-51, -1, -2/23
Let u(o) be the second derivative of -43/21*o**3 - 3*o - 1/84*o**4 - 7 - 1849/14*o**2. Solve u(v) = 0 for v.
-43
Let u(z) be the second derivative of 12*z - 32/5*z**2 - 56/5*z**4 - 5 - 49/25*z**5 + 72/5*z**3. Suppose u(k) = 0. What is k?
-4, 2/7
Let w(v) = 5*v**2 + 45*v - 240. Let x be -2*(-50)/(-4)*(-1)/5. Let f(i) = -2*i**2 - 22*i + 120. Let z(h) = x*f(h) + 3*w(h). Solve z(c) = 0.
-8, 3
Find u, given that -5*u**3 - 96*u - 87*u**2 + 167*u**3 + 6*u**5 + 314*u**2 - 131*u**2 + 57*u**4 = 0.
-4, -2, 0, 1/2
Let o(l) be the first derivative of 5*l**6/3 - 14*l**5/5 - 3*l**4/2 + 14*l**3/3 - 2*l**2 - 7472. Find k such that o(k) = 0.
-1, 0, 2/5, 1
Solve 2234/7*l**3 - 2376/7*l**2 + 96/7 - 536/7*l - 66*l**4 = 0.
-2/7, 4/33, 2, 3
Let q(d) = 395*d - 1576. Let o be q(4). Let s(b) be the first derivative of -1/22*b**o - 24 + 4/11*b + 1/11*b**2 - 4/33*b**3. Determine x so that s(x) = 0.
-2, -1, 1
Find a such that -1/2*a**2 + 1085/2 - 2*a = 0.
-35, 31
Let 140 + 6*d**5 + 80*d**3 + 24*d - 20*d**5 - 71*d - 140*d**2 - 31*d + 12*d**5 = 0. What is d?
-7, -1, 1, 2, 5
Let q(m) be the first derivative of m**4/6 - m**3/2 - 30*m - 20. Let r(a) be the first derivative of q(a). Factor r(s).
s*(2*s - 3)
Let d(j) = -4*j**2 - 17*j + 3. Let a be d(-4). Suppose -4*x = -2*s - 4, 2*s - a*s - 3*x = -16. Solve 11/6*i**s - 6 + 4*i + 1/6*i**3 = 0.
-6, 1
Let t(k) be the first derivative of 2*k**4/15 + 154*k**3/45 + 211*k**2/15 + 32*k/5 + 543. Let t(b) = 0. Calculate b.
-16, -3, -1/4
Let k be -6 + 6 + (-12)/(-14). Let i = 479359/335566 - -3/47938. Factor k + 2/7*h**2 + 2/7*h**3 - i*h.
2*(h - 1)**2*(h + 3)/7
Let l(b) be the first derivative of -52 + 108*b + 1/4*b**3 + 9*b**2. Determine z, given that l(z) = 0.
-12
Let z(d) = -3*d**3 - 5*d**2 + 124*d + 86. Let r be z(-7). Solve -8/3 + 34/3*b - 32/3*b**r + 2*b**3 = 0.
1/3, 1, 4
Let n(o) = -4*o**3 - 4*o**2 + 39*o - 54. Let r(v) = v**3. Let z(k) = -2*n(k) - 6*r(k). Factor z(m).
2*(m - 3)*(m - 2)*(m + 9)
Let i = 9958/2065 - 257/413. Factor i*v**2 - 27/5*v + 6/5.
3*(v - 1)*(7*v - 2)/5
Let x be 8/(-28) + 16/7. Let v be (x/(-5 + 3))/1 + 6. Factor -10*t**2 - 5*t + 7*t**2 + 10*t**3 - v*t**5 + 3*t**2.
-5*t*(t - 1)**2*(t + 1)**2
Let o(y) = -y**3 + 1367*y**2 + 1359*y - 6. Let c(i) = 6*i**3 - 8199*i**2 - 8154*i + 34. Let k(u) = 6*c(u) + 34*o(u). Determine s, given that k(s) = 0.
-1, 0, 1359
Suppose 8*k = -k + 54. Suppose 2*c + 2*x = k*c - 16, 0 = 4*x. Let -c - 9*b - 2*b**2 + 18 - 8 + 5*b**2 = 0. Calculate b.
1, 2
Find g such that -90*g - 174 - 3/2*g**2 = 0.
-58, -2
Let q = -1897777/5 - -379565. Factor -q + 3/5*d**3 + 78/5*d - 33/5*d**2.
3*(d - 8)*(d - 2)*(d - 1)/5
Let k be (764 - 761)/(0 + (-21)/(-2)). Factor -48/7*d + k*d**2 - 50/7.
2*(d - 25)*(d + 1)/7
Let t(o) be the third derivative of -o**5/15 - 127*o**4/6 - 84*o**3 + 358*o**2 - o - 3. Factor t(w).
-4*(w + 1)*(w + 126)
Let n(x) be the third derivative of -x**5/15 - 1430*x**4 - 12269400*x**3 + 13624*x**2. Factor n(j).
-4*(j + 4290)**2
Let i(a) be the third derivative of a**5/90 + 77*a**4/36 + 76*a**3/9 + 2*a**2 - 78. Find l, given that i(l) = 0.
-76, -1
Let s = 506681/12 + -168883/4. Find x, given that -8 - 2*x**4 - s*x - 2/3*x**5 + 10/3*x**3 + 10*x**2 = 0.
-3, -2, -1, 1, 2
Let o be (-24)/(-14) - -2*3/21. Suppose 4 = o*z - 2. Factor -17*n**3 + 0*n + 13*n**3 - z*n**2 + 4 - n**4 + 4*n.
-(n - 1)*(n + 1)*(n + 2)**2
Determine g so that 2/9*g**2 - 68/3 + 98/9*g = 0.
-51, 2
Let n(l) be the second derivative of -3*l**7/14 + 61*l**6/10 - 663*l**5/20 + 211*l**4/4 - 24*l**3 + 9057*l. Suppose n(w) = 0. Calculate w.
0, 1/3, 1, 3, 16
Factor -50/13*y - 14/13*y**2 + 350/13 + 2/13*y**3.
2*(y - 7)*(y - 5)*(y + 5)/13
Let s(p) = -44*p**2 - 25*p - 3. Let t be s(-3). Let i be 0 + (t/8)/(-9). Factor i - 3*u + 1/2*u**2.
(u - 3)**2/2
Let g(c) = -8*c**3 - c**2 - 3*c - 3. Let s be g(-1). Find x, given that 20*x**2 + 6*x**5 - 15*x**4 + s*x**4 - 4*x**3 - 12*x**2 - 2*x**5 = 0.
-1, 0, 1, 2
Suppose -4*q = -2*q - 4. Suppose -4073*h + 40 = -4065*h. Solve 9*c**4 + 14 + 102*c**3 + 2 + 124*c**q - 3*c**5 + 9*c**h + 72*c + 31*c**4 = 0.
-2, -1, -2/3
Let r(l) be the second derivative of -l**5/70 - 165*l**4/14 + 331*l**3/7 - 71*l**2 - 3828*l. Factor r(p).
-2*(p - 1)**2*(p + 497)/7
Let u(s) be the second derivative of -s**7/21 + 7*s**6/3 + 138*s**5/5 + 368*s**4/3 + 832*s**3/3 + 336*s**2 - 602*s. Factor u(b).
-2*(b - 42)*(b + 1)*(b + 2)**3
Let z(n) be the third derivative of n**8/840 - 27*n**7/175 + 53*n**6/100 - 79*n**5/150 + 2*n**2 + 14*n - 47. Factor z(j).
2*j**2*(j - 79)*(j - 1)**2/5
Let i(l) = -l**3 + 176*l**2 - 1968*l + 4. Let f be i(164). Let 0 - 1/3*j**5 + 0*j**3 + 0*j + 4/3*j**f + 0*j**2 = 0. What is j?
0, 4
Let j(a) be the third derivative of -a**5/90 + 389*a**4/36 - 86*a**3 + 2*a**2 - 1072*a. Factor j(r).
-2*(r - 387)*(r - 2)/3
Factor -1/2*r**3 - 251/2*r**2 - 7812*r + 7938.
-(r - 1)*(r + 126)**2/2
Factor -12*w**4 - 19*w - 13*w + 24581*w**3 - 24583*w**3 + 0*w**4 + 48*w**2 - 2*w**5.
-2*w*(w - 1)**2*(w + 4)**2
Let h = 16/419 + 3240/2933. Let v(u) be the first derivative of 4/21*u**3 + u**2 + h*u - 1/14*u**4 + 15. Suppose v(o) = 0. What is o?
-1, 4
Let p(n) = -10*n**3 + 44*n**2 - 41*n + 17. Let s(w) be the second derivative of 0 - 1/6*w**3 - 12*w - 1/2*w**2. Let j(i) = p(i) + 5*s(i). Factor j(r).
-2*(r - 3)*(r - 1)*(5*r - 2)
Let o = 25384 + -8514. Solve 16881*p + 4*p**2 + 10 - 3*p**2 - o*p = 0 for p.
-10, -1
Let s(x) = x**2 - 5*x. Let w(m) = m**2 - 5*m + 1. Let l(f) = -f**2 - 10*f - 12. Let j = 114 + -123. Let h be l(j). Let u(a) = h*s(a) + 4*w(a). Solve u(i) = 0.
1, 4
Let k(b) = 335*b**5 + 2095*b**4 - 470*b**3 + 20*b + 40. Let y(o) = 48*o**5 + 299*o**4 - 67*o**3 + 3*o + 6. Let a(l) = 3*k(l) - 20*y(l). Factor a(x).
5*x**3*(x + 7)*(9*x - 2)
Let z(o) be the second derivative of -10/3*o**4 - 3/4*o**5 + 5/42*o**7 + 1/3*o**6 + 0 - 93*o - 10/3*o**3 + 0*o**2. Suppose z(s) = 0. Calculate s.
-2, -1, 0, 2
Let f be 34 + (-4640)/144 - (-2)/9. Factor -4/3*k + 0 - 2/15*k**f.
-2*k*(k + 10)/15
Let z = -318271 + 318274. Factor 4/9*i**4 - 96 - 48*i + 40*i**2 - 68/9*i**z.
4*(i - 6)**3*(i + 1)/9
Let b(d) be the third derivative of -d**6/120 - d**5/20 + 3*d**4/4 + 7*d**2 + 3*d - 24. Suppose b(x) = 0. Calculate x.
-6, 0, 3
Let w(b) = -10*b**3 - 40*b**2 - 7*b - 28. Let r be w(-4). Let m(h) be the second derivative of r - 3/2*h**3 + 3*h**2 + 1/4*h**4 + 17*h. Factor m(g).
3*(g - 2)*(g - 1)
Let s(a) = -a + 10. Let o be s(7). Determine t so that 11*t**o - 3*t**5 - 24*t**3 + 9*t**3 + 2*t**4 + 4*t**5 - 8*t**2 = 0.
-2, 0, 2
Let d(v) = -98*v**3 + 6*v**2 + 44. Let n be 25/(-4) + -6 + 175/28. Let u(h) = 14*h**3 - h**2 - 6. Let x(k) = n*d(k) - 44*u(k). Suppose x(p) = 0. W