b**q - 36*b**4 + 21*b + 7*b + 23*b**2 + 12 + 37*b**4.
(b + 1)*(b + 2)**2*(b + 3)
Let y be (-29754)/45 + 6 - -11. Let c = y - -645. Suppose -2/5*m**2 - c*m**3 - 2/5*m**4 + 0*m + 0 = 0. What is m?
-1, 0
Suppose 3*f + 2*m = 14, -3*f - 4*m = -28 + 6. What is d in 282*d**f + 312*d + 283*d**2 + 8112 - 562*d**2 = 0?
-52
Suppose -9*k = 4*p - 4*k, 0 = 4*p - k. Suppose p = 20*h + 6*h. Factor h*i**2 + 0 - 3/4*i**3 - 1/4*i**4 + i.
-i*(i - 1)*(i + 2)**2/4
Let d(s) be the first derivative of 5*s**4/4 + 3305*s**3/3 + 544495*s**2/2 - 547805*s - 2729. Find z such that d(z) = 0.
-331, 1
Let h be -2*(-1)/(-4)*(-75 + -1). Let s = h + -36. Factor 4*i**s + 0 + 45 + i**2 - 101*i + 71*i.
5*(i - 3)**2
Factor -2/3*l**3 + 1626 + 1078*l + 530/3*l**2.
-2*(l - 271)*(l + 3)**2/3
Let f(r) be the second derivative of -1728/11*r**2 + 1/110*r**5 + 0 + 144/11*r**3 - 6/11*r**4 - 127*r. What is k in f(k) = 0?
12
Suppose -183 + 172 = -t, 0 = w + 3*t - 39. Let 0*a - w + 2/3*a**2 = 0. Calculate a.
-3, 3
Let z be 4/3 + (-46 - 109100/(-2100)). What is c in 15/7*c**4 - 24/7 - z*c**2 - 3/7*c**5 - 3/7*c**3 + 66/7*c = 0?
-2, 1, 4
Let t(x) = 32*x + 1602. Let w be t(-50). Let n(d) be the second derivative of -1/210*d**5 + 0 - 18*d + 0*d**w - 1/126*d**4 + 0*d**3. Factor n(g).
-2*g**2*(g + 1)/21
Let n = 29194 - 29192. Find q, given that -2/7*q**n - 2 - 16/7*q = 0.
-7, -1
Suppose -29*f + 0*f = 145. Let c(p) = p**3 - 2*p**2 - 2*p. Let s(z) = 3*z**3 - z**2. Let l(a) = f*s(a) + 20*c(a). Factor l(y).
5*y*(y - 8)*(y + 1)
Let c(l) = -3*l - 4*l - 11 + 5*l + 1. Let x be c(-7). Factor 0 + 0*g**4 - 2*g**4 + x - 2 + 4*g**3 - 4*g.
-2*(g - 1)**3*(g + 1)
Let v(i) be the first derivative of 5*i**4/12 - 10*i**3/3 - 30*i**2 - 12*i - 47. Let w(q) be the first derivative of v(q). Suppose w(s) = 0. What is s?
-2, 6
Let b be 24/(432/126) - (1 - (-260)/45). Determine s, given that 4/3*s**2 - 20/9 - 2/3*s - b*s**3 = 0.
-1, 2, 5
Let j(l) be the second derivative of -l**6/24 + 13*l**5/20 - 5*l**4/8 + l**3/6 - 27*l - 1. Let h(w) be the second derivative of j(w). Factor h(y).
-3*(y - 5)*(5*y - 1)
Let c(w) = -11*w**3 - 230*w**2 + 88*w + 1410. Let u be c(-21). Find g such that -39/5*g + 3/5*g**5 - 108/5*g**u + 114/5*g**2 + 6*g**4 + 0 = 0.
-13, 0, 1
Let u(w) be the first derivative of -w**3/3 + 69*w**2/2 - 139*w + 176. Let f(h) = 2*h**2 - 104*h + 208. Let p(g) = 5*f(g) + 8*u(g). Find l such that p(l) = 0.
-18, 2
Let t(m) = -34*m**3 - 108*m**2 + 794*m - 815. Let f(a) = 3*a**3 + 10*a**2 - 72*a + 74. Let c(q) = 92*f(q) + 8*t(q). Suppose c(u) = 0. Calculate u.
-18, 2
Let o(f) = 22*f + 2. Let n be o(1). Suppose 0 = -2*p - w + 5*w + n, p + 4*w = -18. Suppose -3*b**2 + 2*b**2 - p*b**3 + 3*b**2 = 0. What is b?
0, 1
Let i(s) = -5*s + 10. Let v(g) = -g + 1. Let p(m) = i(m) - 6*v(m). Let r be p(-2). Factor -6*j**4 - 15*j**5 + 34*j**5 - 8*j**5 + 32*j**r - 10*j**5.
j**2*(j - 4)**2*(j + 2)
Let s(r) be the third derivative of -r**8/168 - 17*r**7/42 + 11*r**6/10 - r**5/60 - 11*r**4/6 - 1140*r**2. Find v, given that s(v) = 0.
-44, -1/2, 0, 1
Let 4281*x**2 - 2*x**3 - 4*x**4 + 4273*x**2 - 8546*x**2 + 3*x**4 = 0. Calculate x.
-4, 0, 2
Let a(k) = 3*k**3 - 15*k**2 - 162*k - 298. Let m(y) = 14*y**3 - 85*y**2 - 811*y - 1489. Let p(v) = -11*a(v) + 2*m(v). Suppose p(j) = 0. Calculate j.
-5, -2, 6
Let i be (-3)/(-2*(-2)/(-4)). Suppose -40 = -12*o - 28*o. Find q, given that i + 4*q**2 + 7 - o - 5 - 8*q = 0.
1
Suppose 226/5*r + 2/5*r**2 + 224/5 = 0. Calculate r.
-112, -1
Let h(p) be the third derivative of -143*p**2 + 0*p + 0*p**3 + 1/735*p**7 - 3/70*p**5 + 1/210*p**6 + 2 - 3/14*p**4. Determine r so that h(r) = 0.
-3, -2, 0, 3
Let f(i) be the third derivative of -8*i**5/15 + 45*i**4/2 + 34*i**3/3 + 707*i**2 + i. Suppose f(p) = 0. What is p?
-1/8, 17
Let v be (((-477)/265)/(30/25))/(-4 + 58/(-8)). Let -8192/15 + 256/15*y - v*y**2 = 0. What is y?
64
Let s(w) = 44*w**2 - 452*w + 792. Let b(z) = -4*z**2 + 41*z - 72. Let k(j) = j - 54. Let h be k(22). Let r(i) = h*b(i) - 3*s(i). Factor r(o).
-4*(o - 9)*(o - 2)
Suppose 2*p + 6 = -5*x, p - 12 = 5*x - 15. Let o(a) be the third derivative of -1/210*a**5 + x*a - 1/42*a**4 + 10*a**2 + 0 - 1/21*a**3. Let o(t) = 0. What is t?
-1
Suppose -2*l - 2 = 0, -3*t + 7 = t + l. Suppose 0 = q, -3*v + 5 = 4*q - 4. Factor 0*o**2 - 2 - 2*o**2 + 0*o**2 + 4*o**t + o**v - o.
(o - 1)*(o + 1)*(o + 2)
Suppose 2*a = 4*z - 24, z = 2*z - 6. Let q(b) be the third derivative of -1/32*b**4 + a - 1/12*b**3 + 0*b - 1/240*b**5 - 8*b**2. Factor q(s).
-(s + 1)*(s + 2)/4
What is u in 0 - 128*u**4 + 1/2*u**5 + 8192*u**3 + 0*u**2 + 0*u = 0?
0, 128
Let b(m) be the first derivative of -2*m**3/21 + 39*m**2/7 - 216*m/7 - 435. Determine q, given that b(q) = 0.
3, 36
Let r(j) be the first derivative of -4*j**5/5 + 64*j**4 - 2040*j**3 + 32368*j**2 - 255476*j - 2034. Factor r(f).
-4*(f - 17)**3*(f - 13)
Let b = -168131/2 - -84067. Find h such that -3/2*h**2 - 9/2 + 15/2*h - b*h**3 = 0.
-3, 1
Let a(t) be the first derivative of -1/4*t**2 + 1/2*t**3 + 0*t - 3/8*t**4 + 1/10*t**5 + 95. Factor a(d).
d*(d - 1)**3/2
Let w(y) be the first derivative of y**6/12 - 13*y**5/10 + 13*y**4/8 + 317*y**3/6 - 439*y**2/2 + 280*y - 6003. Let w(j) = 0. Calculate j.
-5, 1, 2, 7, 8
Determine y so that -1345*y - 108*y**3 - 38*y**4 - 96*y**2 + 3 + 3 + 1325*y = 0.
-1, 3/19
Let d be -15 + 3/(4/(-4)). Let v = 22 + d. Factor h**v + 2*h + 2 + 1 - 2*h**3 - 4.
(h - 1)**3*(h + 1)
Let t = 1263392/23 + -2202065668/40089. Let y = t + 2/581. Solve -y*p + 0 + 2/3*p**2 = 0 for p.
0, 1
Let d = 187 + -175. Determine k so that 4*k**2 + k - 7*k**2 - k + d*k + 5*k**2 = 0.
-6, 0
Find p, given that 1690 - 115/2*p**3 - 5/2*p**4 + 3055/2*p - 435/2*p**2 = 0.
-13, -1, 4
Let j(m) = 68*m**3 + 18*m**2 - 58*m - 20. Let t(c) = 67*c**3 + 23*c**2 - 58*c - 20. Let d(h) = 3*j(h) - 2*t(h). Find g such that d(g) = 0.
-5/7, -2/5, 1
Determine y, given that -100/11 + 90/11*y**5 - 610/11*y - 1048/11*y**3 - 1284/11*y**2 - 184/11*y**4 = 0.
-1, -5/9, -2/5, 5
Suppose n = 16 - 4. Let m be ((-3)/(-2))/(((-99)/n)/(-11)). Factor -2*h**m - 11*h**4 + 3*h**2 + 2*h**2 + 14*h**4 - 6*h**3.
3*h**2*(h - 1)**2
Let t(x) be the first derivative of 3*x**2/2 - 7*x + 30. Let s be t(5). Determine f so that 0*f**3 - s*f**2 - 8*f**3 + 0*f**3 - 2*f**4 = 0.
-2, 0
Let b(v) be the third derivative of -116/35*v**5 + 0 - 363/490*v**7 + 154*v**2 - 8/7*v**3 - 18/7*v**4 + 0*v - 23/10*v**6 - 5/56*v**8. Solve b(w) = 0 for w.
-2, -1/2, -2/5, -2/7
Let x be -3*-1*12/(-9) - -4. Let u(r) = -r**3 + r**2 + 2*r + 3. Let m be u(x). What is n in 2*n**m + 4/3 + 4*n + 13/3*n**2 + 1/3*n**4 = 0?
-2, -1
Let x(a) = 4*a**3 - 29*a**2 + 10*a - 17. Let q be x(7). Let p be 13/7 - 6*q/24. Solve 0 - p*d + 27/7*d**2 = 0 for d.
0, 2/9
Let t be 12/20 - (-1605)/(-2700). Let a(v) be the third derivative of 0 - t*v**5 - 14*v**2 - 1/144*v**4 + 0*v**3 - 1/720*v**6 + 0*v. Find d such that a(d) = 0.
-1, 0
Let h(w) be the third derivative of 0*w + 0*w**3 + 0 + 1/180*w**5 + 14*w**2 + 7/72*w**4. Let h(a) = 0. What is a?
-7, 0
Suppose 17*o - 27*o + 20 = 0. Let -5*g**2 - 3*g**2 + g**2 + 0*g**o + 65*g + 2*g**2 = 0. What is g?
0, 13
Factor 19/4*l**3 + 243/4*l - 63/2*l**2 - 27.
(l - 3)**2*(19*l - 12)/4
Factor -48 - 114/5*v + 3/5*v**2.
3*(v - 40)*(v + 2)/5
Find m such that -1399*m**4 + 2786*m**4 - 160*m**3 - 240 - 1399*m**4 - 928*m - 676*m**2 = 0.
-6, -5, -2, -1/3
Let b be (1/2)/((-5)/(-10)) - -2. Let v be (-2)/3 + 8/b. Find p such that 64*p**v + 4/3 + 256/3*p**3 + 16*p = 0.
-1/4
Find j, given that -58/21*j**2 - 64/3*j**3 - 2/21*j - 56/3*j**4 + 0 = 0.
-1, -1/14, 0
Let l(h) be the second derivative of h**6/45 + 127*h**5/30 - h**4/6 - 379*h**3/9 + 254*h**2/3 - h - 1180. Find f such that l(f) = 0.
-127, -2, 1
Suppose 0 = 5*l + 7*c - 3*c - 54, 3*l - 26 = 4*c. Suppose 0 = 26*o + l - 62. Factor -4/7*r**o + 0 - 4/7*r.
-4*r*(r + 1)/7
Let a(s) be the second derivative of s**8/1344 + s**7/84 - s**6/4 + 5*s**5/3 - s**4 + 13*s + 1. Let m(j) be the third derivative of a(j). Solve m(v) = 0.
-10, 2
Let u(l) be the first derivative of -l**4/36 + 10*l**3/9 - 19*l**2/6 + 140*l - 141. Let x(g) be the first derivative of u(g). Determine k so that x(k) = 0.
1, 19
Let m(i) = 6*i**2 - 5338*i + 5486. Let q(c) = -2*c**2 + 1775*c - 1828. Let j(l) = 5*m(l) + 14*q(l). Find o, given that j(o) = 0.
1, 919
Factor -4968/5*