*a**2 + 17*a - 24*a**2.
-3*a*(a - 1)*(a + 3)
Let l be (-2)/1 + (-11)/(-2) - (-32152)/(-12057). Determine i, given that 23/6*i**3 + l*i**4 - 25/2*i**2 + 61/6*i - 7/3 = 0.
-7, 2/5, 1
Let f = 568 + -562. Let a be 16 + (0 - f) + -7. Suppose 7/5*j**4 + 13/5*j**a - 31/5*j**2 - 4/5 + 4*j - j**5 = 0. What is j?
-2, 2/5, 1
Let o(r) = -63*r**3 - 288*r**2 - 3051*r - 7800. Let y(b) = 11*b**3 + b**2 + b. Let x(d) = -o(d) - 6*y(d). Factor x(a).
-3*(a - 104)*(a + 5)**2
Suppose 0 = 5236*t - 5264*t + 140. Factor -t*b**2 + 1/2*b**4 + 1/4*b**5 - 3/2 - 19/4*b - 3/2*b**3.
(b - 3)*(b + 1)**3*(b + 2)/4
Let h(s) be the second derivative of -13 - 4/3*s**3 + 2*s - 2/15*s**6 + 0*s**2 - 4/5*s**5 - 5/3*s**4. Determine r, given that h(r) = 0.
-2, -1, 0
Let x = -50689 - -50691. Solve 8/17 + 6/17*s - 2/17*s**x = 0.
-1, 4
Let a(u) be the first derivative of 3/46*u**4 + 40 - 16/23*u**2 + 0*u + 44/69*u**3. Factor a(t).
2*t*(t + 8)*(3*t - 2)/23
Let t(n) = -4*n**2 - 4075*n + 693630. Let v(m) = 3*m**2 + 2037*m - 346818. Let a(g) = -3*t(g) - 5*v(g). What is i in a(i) = 0?
340
Let n(z) be the third derivative of -z**7/105 + 19*z**6/36 + 577*z**5/90 + 191*z**4/12 - 74*z**3 + 9206*z**2. Solve n(s) = 0.
-3, 2/3, 37
Let w(x) be the third derivative of x**7/42 - 7*x**6/3 - 19*x**5/4 + 9*x**2. Factor w(h).
5*h**2*(h - 57)*(h + 1)
Let a = 6/287939 + 863805/575878. Factor -6 - 3/2*u**3 + a*u + 6*u**2.
-3*(u - 4)*(u - 1)*(u + 1)/2
Let v(u) be the second derivative of 33/25*u**5 + 39/10*u**4 - 37*u + 41/10*u**3 + 21/10*u**2 - 4/25*u**6 + 2. Find f such that v(f) = 0.
-1/2, 7
Let u(c) = c**2 - 7*c - 30. Let y be u(-3). Let v(x) be the second derivative of y + 8*x - 4/9*x**2 + 0*x**3 + 1/54*x**4. Factor v(q).
2*(q - 2)*(q + 2)/9
Let b = -62 + 110. Let h be (2 + 8/(-2))*b/(-32). Factor -1/5*j**h - 2/5 + 1/5*j + 3/5*j**2 - 1/5*j**4.
-(j - 1)**2*(j + 1)*(j + 2)/5
Factor -6/5*u**3 - 262/5*u**2 + 968/5 - 2816/5*u.
-2*(u + 22)**2*(3*u - 1)/5
Let d be ((-3 - -7) + -3)/(6/12). Factor y**d - 5*y**2 + 6*y**3 - 6*y + 6*y**2 - 5*y**4 + 3*y**4.
-2*y*(y - 3)*(y - 1)*(y + 1)
Let m(f) = 18*f**2 + 478*f + 504. Let c(q) = 49*q**2 + 1433*q + 1505. Let j(g) = 4*c(g) - 11*m(g). Suppose j(x) = 0. What is x?
-1, 238
Let v(y) be the third derivative of y**6/240 - y**5/10 + 9*y**4/16 + 10*y**3/3 - 923*y**2. Factor v(h).
(h - 8)*(h - 5)*(h + 1)/2
Let o be (26055/(-180))/(3/(-2))*-10. Let k = 967 + o. Factor -200*m**k - 1/3*m**4 + 4000/3*m - 10000/3 + 40/3*m**3.
-(m - 10)**4/3
Let m(j) = 5*j**3 + 4*j**2 + 74*j - 77. Let i be m(1). Let n(y) be the second derivative of 0 - i*y + 0*y**2 - 1/2*y**3 + 1/8*y**4. Factor n(c).
3*c*(c - 2)/2
Let d(w) be the first derivative of w**6/57 - 34*w**5/95 - 21*w**4/38 + 106*w**3/57 + 20*w**2/19 - 72*w/19 - 8776. What is u in d(u) = 0?
-2, -1, 1, 18
Suppose 887*c = 3*v + 885*c + 10, -c = -7*v - 5. Suppose 3/5*t**3 + v + 4/5*t**4 - 4/5*t**2 - 4/5*t + 1/5*t**5 = 0. What is t?
-2, -1, 0, 1
Let p(x) be the first derivative of 1/16*x**6 + 39/40*x**5 + 9/2*x**4 + 9/2*x**3 + 0*x**2 - 102 + 0*x. Factor p(i).
3*i**2*(i + 1)*(i + 6)**2/8
Suppose 4*w = 5*m + 6, m - 539 = w - 541. Let n(p) be the first derivative of 0*p**3 - 3/2*p**w - 3/5*p**5 + 3*p + 3*p**2 - 33. What is q in n(q) = 0?
-1, 1
Let q be 2/(1*(-4)/12). Let u be (-3)/q*(0 - -6). Suppose -2*k**3 + 4*k**4 + k**u + k**3 - 4*k**2 = 0. What is k?
-1, 0, 1
Suppose -18 = -v - 5*v. Suppose -4*j + q + 15 = 0, 0 = -3*j + q + v + 7. Suppose -915*w**2 + 915*w**2 - 3*w**3 + 3*w**j = 0. What is w?
-1, 0, 1
Let k = -6776 + 6776. Let r(f) be the first derivative of 3/28*f**4 + k*f + 12/35*f**5 + 0*f**3 + 0*f**2 + 14. Suppose r(q) = 0. Calculate q.
-1/4, 0
Factor -121*m**2 + 29*m**3 - 64*m - 66*m**2 - 63*m**3 - 12*m**4 - 45*m**2 - 90*m**3.
-4*m*(m + 2)*(m + 8)*(3*m + 1)
Let c(w) be the first derivative of -w**4/7 + 4*w**3/21 + 682*w**2/7 - 1452*w - 3326. Factor c(k).
-4*(k - 11)**2*(k + 21)/7
Let v be ((-55944)/65268)/((-6)/14 - 0). Determine a, given that -3/5*a**v + 0 - 1/5*a**3 - 2/5*a = 0.
-2, -1, 0
Let g = 9576 - 9574. Let d(l) be the first derivative of 2/55*l**5 + 2/11*l**3 + 2/11*l**4 - 8/11*l - 21 - 4/11*l**g. Solve d(f) = 0.
-2, -1, 1
Let r(t) be the first derivative of -t**6/33 + 332*t**5/55 - 7053*t**4/22 + 27224*t**3/33 - 6724*t**2/11 + 5708. Solve r(c) = 0 for c.
0, 1, 82
Let m(d) be the third derivative of -33*d**2 + 0 - 1/45*d**5 - 11/108*d**4 + 0*d + 2/27*d**3. Find h such that m(h) = 0.
-2, 1/6
Let c = 11 + -12. Let k(a) = -75*a**2 + 115*a - 90. Let q(h) = -h**2 - h - 2. Let t(x) = c*k(x) + 30*q(x). Solve t(z) = 0.
2/9, 3
Let r(d) be the first derivative of -3*d**4/4 + 223*d**3 + 3*d**2/2 - 669*d + 2886. Factor r(g).
-3*(g - 223)*(g - 1)*(g + 1)
Suppose -4*t - 116 = 3*c - 173, 2*t - 18 = 2*c. Determine q, given that 4*q + 10/3*q**4 + 2/3*q**5 - 10/3*q**2 - 14/3*q**c + 0 = 0.
-6, -1, 0, 1
Let k(t) be the third derivative of -t**8/84 - 544*t**7/105 - 3037*t**6/5 + 37264*t**5/15 - 18769*t**4/6 - 2*t**2 + 4*t + 17. Factor k(g).
-4*g*(g - 1)**2*(g + 137)**2
Let g(j) be the second derivative of j**4/24 - 15*j**3/4 - 47*j**2/2 - 1492*j. Factor g(b).
(b - 47)*(b + 2)/2
Suppose -3*u + 3*b + 57 = 0, 0 = 3*b - 6. Let d = 234/11 - u. Factor x - 4/11 - 10/11*x**2 + d*x**3.
(x - 1)**2*(3*x - 4)/11
Let b(s) = 3*s**2 + 99*s + 1080. Suppose -3*d - g = -12, g = 4*d - 3*g. Let v(u) = 3*u**2 + 104*u + 1081. Let z(a) = d*v(a) - 2*b(a). Solve z(w) = 0.
-19
Let f(u) be the third derivative of -5/3*u**4 + 0 + 0*u**3 + 25*u**2 + 0*u - 1/12*u**5. Factor f(d).
-5*d*(d + 8)
Let n = 24722/27049 - 12/2459. Let d = 4646/11 + -422. Determine s, given that 14/11*s**4 - 10/11*s - 18/11*s**2 + d + n*s**3 = 0.
-1, 2/7, 1
Factor 124/3*q - 1922/3 - 2/3*q**2.
-2*(q - 31)**2/3
Let o = -7541 + 723937/96. Let h(c) be the second derivative of 1/160*c**5 - 1/240*c**6 - 1/48*c**3 + o*c**4 + 0*c**2 + 0 + c. Factor h(i).
-i*(i - 1)**2*(i + 1)/8
Let f(r) be the first derivative of -2*r**3/21 - 274*r**2/7 + 792. Factor f(g).
-2*g*(g + 274)/7
Suppose 0 = 2*w + 22, -29*w - 33 = y - 26*w. Determine d, given that -12/5 + 3/5*d**2 + y*d = 0.
-2, 2
Let z = 4619 + -78501/17. Let f = -32/51 + z. What is r in -1/3*r**2 - r - f = 0?
-2, -1
Let g be (39/(-15) - -3)/(16/20). Let d = -2250 + 2257. Factor 25*f + g*f**4 - 125/2 + d*f**3 + 30*f**2.
(f - 1)*(f + 5)**3/2
Let r = -216148 - -864593/4. Factor -15/2*x - 225/4 - r*x**2.
-(x + 15)**2/4
Solve 1012/9*z**2 - 142/3*z**3 - 326/9*z + 4/3 = 0.
3/71, 1/3, 2
Let f = 57 - 53. Factor -572*u - 4*u**3 + f*u**2 + 572*u.
-4*u**2*(u - 1)
Let u(y) = 4*y**3 - 244*y**2 + 7196*y + 7436. Let k(j) = 17*j**3 - 977*j**2 + 28783*j + 29741. Let i(z) = 2*k(z) - 9*u(z). Factor i(l).
-2*(l - 61)**2*(l + 1)
Let t be 2/4*(6/(-6) - -9). Factor -528*j - 2*j**4 + 0*j**t - 332*j**2 + 3291*j**3 - 242 - 3339*j**3.
-2*(j + 1)**2*(j + 11)**2
Let z(q) = -2*q**3 - 3*q**2 - 6*q + 3. Let y be z(-3). What is f in -y - 4*f + 16*f**2 - 13*f**3 + 32*f**2 + 17*f**3 = 0?
-12, -1, 1
Let c(k) = -k**3 - 35*k**2 - 2*k. Let l(h) = h**3 + 28*h**2 + 3*h. Let n(d) = -3*c(d) - 4*l(d). Determine r so that n(r) = 0.
-6, -1, 0
Suppose -34*h + 364 = 262. Let z(n) be the first derivative of -18/5*n**2 + 16/5*n**h + 41 - 13/20*n**4 + 0*n + 1/25*n**5. Factor z(w).
w*(w - 6)**2*(w - 1)/5
Let i = -3289 + 3291. Let p(z) be the first derivative of 15/2*z**4 + 15*z - 1/2*z**6 - 2*z**3 - 27 - 9/5*z**5 - 27/2*z**i. Determine r, given that p(r) = 0.
-5, -1, 1
Solve -33*h - 1053/2 - 1/2*h**2 = 0.
-39, -27
Suppose -5*o - 18 = 4*o. Let h be (o + (-7 - -4))/(2/(-6)). Factor 13*v + 2*v**3 - 10*v**4 + 9*v**4 - h*v + 1.
-(v - 1)**3*(v + 1)
Let u be 212/126 + (-111 - (-43912)/396). Find p such that u*p**3 + 16/7*p**2 + 0 + 5/7*p = 0.
-1, -5/11, 0
Let m(x) = 28*x**4 - 12*x**3 - 96*x**2 - 120*x. Let f(q) = 26*q**4 - 13*q**3 - 97*q**2 - 110*q. Let r(v) = 12*f(v) - 11*m(v). Find h such that r(h) = 0.
-3, 0, 9
Let v(n) be the second derivative of 7*n**5/20 - 23*n**4/2 - 523*n**3/6 - 69*n**2 - 4*n - 500. Solve v(t) = 0 for t.
-3, -2/7, 23
Let u(g) be the third derivative of g**7/315 + g**6/10 + 77*g**5/90 - 22*g**2 + 41*g. Factor u(i).
2*i**2*(i + 7)*(i + 11)/3
Suppose -70*h - 3*r + 426 = -67*h, r = -3*h + 424. Factor 124 + 76 + 88 + 3*n**2 + 42*n - h.
3*(n + 7)**2
Let q(i) = -i**3 - 17*i**2 + 17*i - 15. Let l be q(-18).