*z**4 - 1329*z**3 = 0?
-9, -6, 0, 5
Suppose -101 + 11 = -18*q. Let f(c) = -3*c**2 + 12*c + 15. Let v be f(q). Factor 0 - 3/2*s**5 + 3*s**3 + 0*s**4 - 3/2*s + v*s**2.
-3*s*(s - 1)**2*(s + 1)**2/2
Find r, given that 5109/5*r**2 - 173*r - 7623/5*r**3 + 3/5 = 0.
3/847, 1/3
Suppose 35*v - 32*v + 3 = 0. Let l be (-9 + (13 - 4))/v. Factor -1/2*w**3 + 1/3*w**2 + 0*w + l - 5/6*w**4.
-w**2*(w + 1)*(5*w - 2)/6
Let x(c) = -c + 7. Let z be x(7). Suppose 7*d - 8 - 6 = z. Find a, given that -48 - 15*a**3 + 12*a**3 - 24*a + 20*a**2 + a**d = 0.
-1, 4
Let h(z) = z**2 - 13*z + 10. Let g be h(13). Factor 14 + 10 + 6 + 25*k - 10*k**2 - g*k**2.
-5*(k - 2)*(4*k + 3)
Suppose 78*f = 127*f - 3 - 144. Let j(g) be the first derivative of 13 + 1/5*g**2 + 0*g + 2/5*g**f. Let j(u) = 0. What is u?
-1/3, 0
Suppose -17*b = 150 - 371. Let p(w) be the first derivative of -4/3*w**3 - 3*w**2 - b + 4*w. What is m in p(m) = 0?
-2, 1/2
Let n = -348227/7 + 49749. Find q such that -4/7*q**3 - 4/7*q - n*q**2 + 24/7 = 0.
-3, -2, 1
Let j be ((-21)/(-6))/(1/328*4). Let r = j - 285. Find o, given that -1 + 4/3*o - 1/3*o**r = 0.
1, 3
Let g be (-5)/(20/16) - -28. Let r be g/(-16)*(-4)/3. Factor -i + 31*i**2 - i**4 - 6*i**2 - 10*i**2 - 14*i**r + i**3.
-i*(i - 1)**2*(i + 1)
Let w(j) be the third derivative of 0*j + 1/15*j**4 + 52*j**2 - 1/300*j**6 - 2/75*j**5 + 1/525*j**7 + 0*j**3 + 0. Let w(c) = 0. Calculate c.
-2, 0, 1, 2
Let f = -43536 + 478898/11. Suppose 2/11*a**5 + 0*a - 2/11*a**4 + 2/11*a**2 - f*a**3 + 0 = 0. Calculate a.
-1, 0, 1
Let r be (2/14)/(864/7560). Let g(a) be the first derivative of 0*a - r*a**4 + a**5 - 5/3*a**3 + 0*a**2 + 5/6*a**6 - 13. Let g(b) = 0. Calculate b.
-1, 0, 1
Factor 1/8*j**5 + 18 + 51*j + 75/8*j**3 - 21/8*j**4 + 361/8*j**2.
(j - 12)**2*(j + 1)**3/8
Let m(q) be the first derivative of q**4/12 - 2*q**3/9 - 4*q**2/3 + 912. Factor m(s).
s*(s - 4)*(s + 2)/3
Suppose 21 = 17*y - 20*y. Let b(t) = -t**4 - 5*t**3 + 5*t - 6. Let k(z) = -2*z**3 + 2*z - 2. Let l(w) = y*k(w) + 2*b(w). Determine h so that l(h) = 0.
-1, 1
Let g(w) be the third derivative of -w**8/840 - 4*w**7/525 + 11*w**6/300 + 13*w**5/75 - 7*w**4/15 - 8*w**3/3 + 4323*w**2. Determine o so that g(o) = 0.
-5, -2, -1, 2
Suppose 24*g = -127 + 343. Suppose 21*u - g = 75. Factor 0 + 6/19*a**2 - 6/19*a**3 - 2/19*a + 2/19*a**u.
2*a*(a - 1)**3/19
Let 5/2*y**2 + 9 + 49/4*y = 0. Calculate y.
-4, -9/10
Factor -35 - 46 + 174 - 50 + 462*c - 47 + 232*c**2.
2*(c + 2)*(116*c - 1)
Let i = -55 + 57. Let m = 2229/1028 + 21/257. Let -m + 3/4*l**i + 3/2*l = 0. Calculate l.
-3, 1
Suppose 25 = 2*i + 3*i. Suppose -2 + 12 = i*h. What is s in -7 - 3 - 3*s**2 + 2 - 9*s + h = 0?
-2, -1
Suppose -1196*q + 1150*q + 91 = -1. Let -5/3*z - q - 1/3*z**2 = 0. Calculate z.
-3, -2
Suppose -5*t - 5*t = -780. Let k = -76 + t. Solve -k*v**2 - 6*v**2 + 9*v**2 = 0 for v.
0
Let w(o) be the first derivative of -o**6/45 + o**4/6 - 2*o**3/9 + 94*o - 42. Let r(q) be the first derivative of w(q). Determine p so that r(p) = 0.
-2, 0, 1
Find l such that -52*l + 678/13 - 2/13*l**2 = 0.
-339, 1
Let s = -5292 + 105843/20. Let g(u) be the first derivative of 9/16*u**4 + 0*u + 10 + s*u**5 + 0*u**2 + 1/2*u**3. Solve g(d) = 0 for d.
-2, -1, 0
Let i(y) be the second derivative of -y**5/60 - y**4/6 + 15*y**3/2 - 1923*y. Solve i(q) = 0 for q.
-15, 0, 9
Let s(o) be the third derivative of 7/15*o**3 + 1/150*o**5 + 0 + 15*o**2 + 4*o - 2/15*o**4. Suppose s(z) = 0. Calculate z.
1, 7
Suppose 6*k - 63 = 9*k. Let h(z) = z**3 + 21*z**2 - z - 18. Let x be h(k). Suppose -1181*s**2 + 4*s + s**x + 0*s + 1176*s**2 = 0. What is s?
0, 1, 4
Let g be (-8 + 345/60)/(159/(-212)). Find r such that 0 + 1/2*r**5 - r**4 + 0*r + 0*r**2 + 0*r**g = 0.
0, 2
Let c(l) be the third derivative of l**5/225 - 61*l**4/180 + 104*l**3/15 - 199*l**2 + 1. Factor c(i).
2*(i - 24)*(2*i - 13)/15
Let q be (3/45)/(69/414). Let z(j) = j + 17. Let p be z(-15). What is l in -2/5*l**p + q + 12/5*l - 12/5*l**3 = 0?
-1, -1/6, 1
Suppose 9 = -53*v + 56*v. Solve -v*d - 252*d**3 + 130*d**3 + 125*d**3 = 0.
-1, 0, 1
Suppose 0 = -3*b - 2*b + 3*u + 36, 10 = -5*u. Let p be -2*(-6)/(-9)*b/(-4). Factor -2*a**p + 7*a - 4*a - 5*a + 3*a**2.
a*(a - 2)
Let b be (-1 - 198/(-72)) + (-10)/8. Let g(t) be the second derivative of -b*t**3 + 41*t - t**2 - 1/12*t**4 + 0. Let g(y) = 0. Calculate y.
-2, -1
Let l(m) be the second derivative of 0*m**2 + 1/4*m**3 - 5/24*m**4 - 4 - 2*m. Factor l(u).
-u*(5*u - 3)/2
Let h(v) be the first derivative of -v**3/3 + 350*v**2 - 122500*v - 5134. Factor h(p).
-(p - 350)**2
Let v(i) be the first derivative of -35*i**4/4 + 50*i**3/3 - 15*i**2/2 - 540. Let v(l) = 0. Calculate l.
0, 3/7, 1
Let q(v) = 3*v**4 + 83*v**3 + 261*v**2 + 149*v - 16. Let n(i) = 4*i**4 + 111*i**3 + 348*i**2 + 197*i - 22. Let t(j) = -8*n(j) + 11*q(j). Factor t(h).
h*(h + 1)*(h + 3)*(h + 21)
Suppose -68 = -14*y - 14147*g + 14149*g, 3*y + 2*g + 34 = 0. Find j, given that 10/7*j + 6/7*j**3 + 0 - 18/7*j**y + 2/7*j**4 = 0.
-5, 0, 1
Let u(p) be the third derivative of -p**5/240 + 59*p**4/48 - 3481*p**3/24 - 102*p**2 - 6. Factor u(l).
-(l - 59)**2/4
Let u(k) be the first derivative of -k**4/12 - 104*k**3/9 - 205*k**2/6 - 34*k + 1297. Find z, given that u(z) = 0.
-102, -1
Let z be (-230)/(-8) + ((-120)/32 - -4). What is a in 96*a + 21*a**3 - 70*a**3 + z*a**3 + 256 + 18*a**3 = 0?
-4, 8
Factor 22*l + 1/3*l**4 + 0 + 16/3*l**3 + 61/3*l**2.
l*(l + 2)*(l + 3)*(l + 11)/3
Suppose -2*d + 10257*t + 42 = 10254*t, -3*d = 4*t + 56. Factor 8/7*r**3 + 0*r + 0 - 4/7*r**5 + 4/7*r**4 + d*r**2.
-4*r**3*(r - 2)*(r + 1)/7
Let c(n) be the third derivative of -5*n**8/336 + 4*n**7/21 - 7*n**6/24 - 3*n**5 + 15*n**4/2 + 789*n**2. Determine u so that c(u) = 0.
-2, 0, 1, 3, 6
Suppose -20*q + 22 = -9*q. Suppose 4*a - c = -2, 10 = -3*a + 7*c - 2*c. Let 0*w + a*w**q + 4/9*w**3 - 2/9*w**4 + 0 = 0. Calculate w.
0, 2
Factor -52 + 23*y**2 - 71*y**2 + 40*y**2 - 14*y**2 + 26*y**3 - 524*y - 28.
2*(y - 5)*(y + 4)*(13*y + 2)
Suppose 272/11*u**2 - 540/11 - 266/11*u - 2/11*u**3 = 0. What is u?
-1, 2, 135
Factor -7 + 17/4*c**3 - 473/4*c + 13*c**2.
(c - 4)*(c + 7)*(17*c + 1)/4
Let l(n) be the third derivative of n**7/840 + 11*n**6/480 + 3*n**5/16 + 27*n**4/32 + 9*n**3/4 + n**2 + 57. Solve l(u) = 0.
-3, -2
Determine z, given that -477*z + 9 - 230*z + 46*z**3 - 355*z**2 - 26*z**3 - 362 - 21*z**3 = 0.
-353, -1
Let z(l) be the first derivative of -l**7/7 - 4*l**6/15 + 13*l**5/10 - l**4 + 24*l - 20. Let v(w) be the first derivative of z(w). Solve v(g) = 0 for g.
-3, 0, 2/3, 1
Suppose -3*g - 2*g + 25 = 0, -2*z = -2*g + 176. Let o = z - -84. Factor -41*f + o - 2*f**2 - 1 + 45*f.
-2*f*(f - 2)
Solve 230*y - 719*y + 225*y - 59*y**3 + y**4 + 210*y + 111*y**2 + y**5 = 0 for y.
-9, 0, 1, 6
Suppose 0*w = 2*a - w - 89, -4*a = 2*w - 190. Let u = a - 42. Suppose -20*n**4 + 16*n**3 + 0*n**5 + 3*n**5 + n**5 + 4*n**u = 0. What is n?
0, 2
Let k(z) be the first derivative of -4*z**3/3 - 560*z**2 - 78400*z + 394. Suppose k(g) = 0. What is g?
-140
Let h = -86 + 86. Suppose h = g + 4, -12 = p + 21*g - 18*g. Factor 0 + 6/11*j**2 + p*j.
6*j**2/11
Let j(u) be the first derivative of u**4/10 + 766*u**3/15 + 763*u**2/5 + 762*u/5 - 5558. Let j(h) = 0. Calculate h.
-381, -1
Suppose -3*v - 3*p + 4500 = 0, -p + 171 + 4319 = 3*v. Let j = -7472/5 + v. Factor 6/5*m**2 - 3/5 - j*m.
3*(m - 1)*(2*m + 1)/5
Let l(w) be the second derivative of w**6/10 + 129*w**5/10 + 2629*w**4/4 + 16770*w**3 + 228150*w**2 + 4138*w. Let l(b) = 0. What is b?
-30, -13
Let s(t) be the first derivative of 34*t**3/3 - 508*t**2 - 120*t + 3150. Factor s(d).
2*(d - 30)*(17*d + 2)
Let p(b) = -b**2 - 15*b - 23. Suppose 5*j + 45 + 20 = 0. Let w be p(j). Factor 8*r**3 - 3*r**3 - 8*r**w - 2*r**3.
-5*r**3
Let k(m) = 5*m**2 + 70*m - 690. Let y(i) = -3. Let z(q) = -k(q) + 30*y(q). Factor z(s).
-5*(s - 6)*(s + 20)
Let g(m) be the third derivative of -m**5/180 + 85*m**4/72 + 128*m**2. Factor g(b).
-b*(b - 85)/3
Let m(t) be the third derivative of 7*t**5/12 + 155*t**4/24 - 50*t**3/3 + 5*t**2 - 129. Find j, given that m(j) = 0.
-5, 4/7
Let s(n) be the second derivative of 1/48*n**4 + 0 - 7/6*n**3 - 123*n + 49/2*n**2. Factor s(o).
(o - 14)**2/4
Let k be (-16)/(-20) - ((-612)/85)/(-9). Determine l so that k*l**2 - 8/5*l**3 + 0 + 2*l**5 + 16/5*l**4 + 0*l = 0.
-2, 0, 2