26. Let b be r(6). Suppose -3 = b*a - 83*a. Suppose 18*c**4 - 45/4*c**2 + 12*c**5 - 69/4*c**a - 3/2*c + 0 = 0. What is c?
-2, -1/4, 0, 1
Factor -d**2 + d**2 - 280*d - 2*d**2 - 9029 - 771.
-2*(d + 70)**2
Let o(g) be the third derivative of g**5/220 + 67*g**4/132 - 15*g**3/22 + 59*g**2 - 2. Determine v, given that o(v) = 0.
-45, 1/3
What is x in -52/15*x - 46/5 - 2/15*x**2 = 0?
-23, -3
Let u(h) be the third derivative of -h**8/84 + 8*h**7/35 - 23*h**6/15 + 4*h**5 - 25*h**4/6 - 36*h**2 - 2. Factor u(l).
-4*l*(l - 5)**2*(l - 1)**2
Let m(k) be the first derivative of 21 + 0*k**3 + 1/2*k**2 - 1/12*k**4 + 2/3*k. Factor m(l).
-(l - 2)*(l + 1)**2/3
Find d, given that 24 - 39*d**4 + 17*d**3 + 9*d**2 + 9*d**2 - 23*d**3 + 37*d**4 + 46*d = 0.
-4, -1, 3
Suppose -b - 4 = -3*b. Suppose 2*u - 12 = -b*u. What is c in 0*c - c**2 + u*c - 9*c - 9 = 0?
-3
Let c = -45 + 45. Factor 13*t + c*t**2 + 4*t**2 + 0*t**2 - 5*t.
4*t*(t + 2)
Let w(a) = -7*a**4 - 16*a**3 + 35*a**2 - 9*a - 3. Let y(t) = -t**4 - t**3 + t**2 + 2*t - 1. Let l(u) = 2*w(u) - 6*y(u). Factor l(v).
-2*v*(v - 1)*(v + 5)*(4*v - 3)
Suppose 0 = 13*c - 90 + 12. Let s(t) be the first derivative of 0*t**2 + 2/7*t - c - 2/21*t**3. Factor s(l).
-2*(l - 1)*(l + 1)/7
Let p be (-24 - (-35 - -15)) + 7. Let 0*f**p + 0*f**2 + 0 + 0*f + 3/5*f**4 + 12/5*f**5 = 0. Calculate f.
-1/4, 0
Let u = -345 - -350. Let k(l) be the third derivative of -1/66*l**u + 0*l**3 - 6*l**2 + 0 + 1/165*l**6 + 0*l + 1/132*l**4. Factor k(t).
2*t*(t - 1)*(4*t - 1)/11
Let w(j) be the third derivative of 1/14*j**3 - 1/280*j**6 - 3/56*j**4 + 0*j + 0 + 3/140*j**5 + 25*j**2. Factor w(x).
-3*(x - 1)**3/7
Let j(q) be the first derivative of -q**5 - 15*q**4/2 - 55*q**3/3 - 15*q**2 + 34. Factor j(l).
-5*l*(l + 1)*(l + 2)*(l + 3)
Let d = -25 + 22. Let a(i) = 3*i**2 + i - 2. Let q(u) = -4*u**2 - 2*u + 3. Let p = 11 - 13. Let n(y) = d*a(y) + p*q(y). Factor n(c).
-c*(c - 1)
Let o(k) be the first derivative of -k**8/28 + k**7/105 + k**6/45 - k**5/90 - k**2 + 6. Let y(p) be the second derivative of o(p). Solve y(z) = 0 for z.
-1/2, 0, 1/3
Let p = 8 + 2. Let f be (3 + p/(-4))*4. Factor 0*o**4 - 1/4*o**5 + 1/2 + o**3 - 1/2*o**f - 3/4*o.
-(o - 1)**3*(o + 1)*(o + 2)/4
Let z(v) = -v**2 + 6*v - 4. Let u be z(4). What is f in f**3 + 8*f**u - 12*f**5 - 6*f**4 - 8*f**2 + 11*f**3 + 6*f**4 = 0?
-1, 0, 2/3, 1
Let v = 1/1836 + 3667/9180. Let y be (1 - (-10)/3) + 4/(-12). Factor 2/5*f**y + v*f**3 - 2/5 - 1/5*f**5 + 7/5*f - 8/5*f**2.
-(f - 1)**4*(f + 2)/5
Let r(n) be the third derivative of 1/32*n**4 + 0 + 1/16*n**3 + 1/160*n**5 - n**2 + 0*n. Factor r(k).
3*(k + 1)**2/8
Suppose n + 2 = i + 5, 3*n - 14 = -2*i. Factor -w**2 - 6*w + 2 + w**3 - w**n + 4*w + 2*w**3 - w.
-(w - 2)*(w - 1)**2*(w + 1)
Let a(p) be the second derivative of -2*p**7/231 - 17*p**6/165 + 27*p**5/55 - 8*p**4/33 - 52*p**3/33 + 3*p**2 - 161*p. What is h in a(h) = 0?
-11, -1, 1, 3/2
Let d(h) be the third derivative of -2/15*h**5 - 1/21*h**7 + 0 - 1/168*h**8 + 32*h**2 + 0*h**4 + 0*h**3 + 0*h - 2/15*h**6. Factor d(i).
-2*i**2*(i + 1)*(i + 2)**2
Let q(d) = -d**3 - 5*d**2 - 4*d + 5. Let x be q(-4). Let s(i) = 5*i**3 + i - 1. Let k be s(1). Let b + 56*b**k + b - 34*b**3 - 24*b**x = 0. What is b?
-1, -1/4, 0, 1/4, 1
Let q(b) be the second derivative of 0 + 3/4*b**5 + 25/12*b**4 + 0*b**2 + 5/3*b**3 - 15*b. Factor q(c).
5*c*(c + 1)*(3*c + 2)
Let l(a) = -a**2 - 12*a + 17. Let c be l(-13). Factor 4*f**5 - 28*f**3 + 20*f**c - 6*f**2 + 0*f**5 - 8*f**5 + 18*f**2.
-4*f**2*(f - 3)*(f - 1)**2
Suppose -5*j = -2*h - 21, -56*j = -51*j + 3*h - 6. Let i = 29 - 57/2. Find a, given that 0 - a**2 + i*a - 3/2*a**j = 0.
-1, 0, 1/3
Factor -363/4*a - 90 - 3/4*a**2.
-3*(a + 1)*(a + 120)/4
Let f = 42 - 74. Let s be f/(-20)*25/35. Factor s + 104/7*k + 338/7*k**2.
2*(13*k + 2)**2/7
Let s(w) be the third derivative of -1/240*w**5 - 3*w**2 - 1/32*w**4 + 0 + 0*w + 1/6*w**3. What is c in s(c) = 0?
-4, 1
Let d(w) = -w**2 - 1. Let f(g) = 7*g**4 + 20*g**3 - 28*g + 7. Let j(p) = 3*d(p) + f(p). Determine z, given that j(z) = 0.
-2, 1/7, 1
Let s(p) be the first derivative of -p**4/32 - 5*p**3/6 + 67*p**2/16 - 23*p/4 + 597. Factor s(j).
-(j - 2)*(j - 1)*(j + 23)/8
Factor 0 - 44/15*m**2 + 2/15*m**3 + 0*m.
2*m**2*(m - 22)/15
Let i(c) be the third derivative of -6*c**2 + 7/6*c**3 + 0*c + 0 + 0*c**4 - 1/75*c**5 - 1/450*c**6. Let u(p) be the first derivative of i(p). Factor u(d).
-4*d*(d + 2)/5
Find f such that 8*f - 5*f**2 - 4*f**2 - 6*f**2 + 2*f**2 + 60 + 9*f**2 = 0.
-3, 5
Let l(j) be the second derivative of -2/51*j**3 + 9*j + 1/170*j**5 + 0 + 0*j**2 + 1/102*j**4. Find b such that l(b) = 0.
-2, 0, 1
Let r(l) be the third derivative of l**8/840 + 11*l**7/525 + 43*l**6/300 + 73*l**5/150 + 14*l**4/15 + 16*l**3/15 + 50*l**2. Let r(q) = 0. Calculate q.
-4, -1
Let r be (33/(-1089))/((-12)/88). Find p such that r*p**2 + 2/3*p + 0 = 0.
-3, 0
Suppose -17 = 16*r - 15*r. Let x(w) = w**2 + 11*w - 99. Let d be x(r). Factor -4*a - 5/4*a**d + 1 + 17/4*a**2.
-(a - 2)*(a - 1)*(5*a - 2)/4
Let t = 35 - 35. Suppose t = v - 12 + 10. Determine m so that 0*m**2 - 12 + 6*m**2 - 8*m + 0*m**v - 2*m**2 = 0.
-1, 3
Let v(l) be the second derivative of 0 - 15*l**2 + 1/4*l**5 + 0*l**4 + 38*l - 35/6*l**3. Factor v(b).
5*(b - 3)*(b + 1)*(b + 2)
Let q(x) be the second derivative of -4*x**2 - 11*x + 0 - 1/3*x**4 - 2*x**3. Factor q(l).
-4*(l + 1)*(l + 2)
Let v(f) = 2*f - 15. Let s be v(9). Suppose -5*n**4 - 25*n**2 - 46*n + 66*n + 20*n**s - 5 - 5*n**2 = 0. What is n?
1
Let q be 4/14 - 6/21. Let g be (q - -1)*32 - -2. Let p(i) = -23*i**2 + 11*i. Let k(y) = 4*y**2 - 2*y. Let a(w) = g*k(w) + 6*p(w). Factor a(j).
-2*j*(j + 1)
Factor 54*y - 3*y + 49*y - 132 + 12*y**2 - 15*y**2 - 28*y.
-3*(y - 22)*(y - 2)
Let t(g) be the second derivative of -g**6/30 - 3*g**5/20 + 2*g**3/3 + 3*g - 29. Solve t(q) = 0 for q.
-2, 0, 1
Let j be 24/(-32) + (-54)/(-84)*(-28)/(-24). What is w in 2/7*w**2 - 2/7*w**3 + j + 4/7*w = 0?
-1, 0, 2
Let n(y) be the first derivative of -4/33*y**3 + 3 + 5/11*y**2 - 4/11*y. Suppose n(k) = 0. What is k?
1/2, 2
Let j be 118/(-885)*(-54)/4 + -1. Factor -1/5*i**2 - 4/5 + j*i.
-(i - 2)**2/5
Factor 20*d**2 + 11*d**2 - 3468 + 204*d - 34*d**2.
-3*(d - 34)**2
Let w(m) = -m**3 - 7*m**2 - 7*m - 4. Suppose 0 = 4*y - 3*b + 15, 1 = y + b + 10. Let n be w(y). Determine q, given that 4*q + 4*q**n + 75 + 26*q - q**2 = 0.
-5
Let y**5 - 10/3*y**2 + 14/3*y**4 + 0*y + 0 - 7/3*y**3 = 0. What is y?
-5, -2/3, 0, 1
Let g(t) = 9*t + 11. Let p be g(-3). Let w = 50/3 + p. Factor y - w - 1/3*y**2.
-(y - 2)*(y - 1)/3
Suppose -5*c + 6*i = 3*i - 23, 5*i + 5 = 0. Determine h so that 3*h**2 + 4*h**3 + 7*h**2 + h**3 - 19*h + c*h = 0.
-3, 0, 1
Let f be (80/600)/((-2)/(-70)). Let u be 2/10 + 3/(-15). What is l in -2/3*l**3 + 8/3 - f*l**2 + 2/3*l**5 + u*l + 2*l**4 = 0?
-2, -1, 1
Factor 390/7*r**2 + 0 + 28*r - 2/7*r**4 + 192/7*r**3.
-2*r*(r - 98)*(r + 1)**2/7
Let g = 11229/35 + -1602/5. Factor 0 + 9/7*l**2 - 6/7*l - g*l**3.
-3*l*(l - 2)*(l - 1)/7
Let y = -17273/12 - -4325/3. Suppose 1/2 + 7/2*g**3 + 4*g**2 + y*g + 1/4*g**5 + 3/2*g**4 = 0. Calculate g.
-2, -1
Let l = -33809/5 - -6762. Factor -l*i**2 + 0 - 6/5*i.
-i*(i + 6)/5
Let p be (574/123)/(15/9 - 0). Factor 22/5*c - 4/5 + p*c**3 - 32/5*c**2.
2*(c - 1)**2*(7*c - 2)/5
Let r(h) = -h**3 - 23*h**2 - 2*h - 43. Let l = 34 - 57. Let m be r(l). Factor 14/5*b**m + 6/5*b**5 - 16/5*b**4 - 4/5*b**2 + 0 + 0*b.
2*b**2*(b - 1)**2*(3*b - 2)/5
Let n = -9694 + 9696. Let 16/3*u + 2/3*u**n + 14/3 = 0. What is u?
-7, -1
Find v, given that -3/2*v**2 + 63/2 + 6*v = 0.
-3, 7
Let h(u) be the second derivative of -1/4*u**5 + 5/2*u**2 + 0 + 5/4*u**4 + 4*u - 5/2*u**3. Factor h(n).
-5*(n - 1)**3
Let i be -69*(-6)/130 + (-9)/540*-12. Factor 12/13 + i*l**2 + 6/13*l**3 + 50/13*l.
2*(l + 1)*(l + 6)*(3*l + 1)/13
Let o(m) be the third derivative of -m**5/12 + 205*m**4/24 - 4*m**2 - 2*m. Factor o(z).
-5*z*(z - 41)
Solve -1265/2*d**2 - 270 + 5/4*d**5 + 685*d - 85/2*d**4 + 1035/4*d**3 = 0.
1, 2, 27
Let w = -616 + 618. Let p(u) be the first derivative of -1/4*u**4 + 5 + 2/9*u**3 + 0*u**w + 0*u + 1/15*u**5. Solve p(r) = 0.
0, 1, 2
Let g(h) be the first derivative of 128/3*h + 194/9*h**3 - 29 + 3*h**4 + 48*h**2 + 2/15*h**5. Find z such that g(z) = 0.
-8, -1
Let h(y) = -2*y**5 + 41*y**4 + 140*y**3 + 76