4 + -241. Determine x so that 0*x**p + 4*x**2 + 5*x + 255 + x**3 - 253 = 0.
-2, -1
Solve 46*v + 0 + 2/7*v**4 - 290/7*v**2 - 34/7*v**3 = 0 for v.
-7, 0, 1, 23
Let g = 94 + -85. Find r such that r**2 + 2 + 3*r**4 + 10*r**3 - 7 - g*r + r**2 + 395*r**5 - 396*r**5 = 0.
-1, 1, 5
What is m in 14*m**3 - 3722*m - 27*m**3 + 10*m**3 + 1373*m - 2523 + 171*m**2 = 0?
-1, 29
Let c(p) be the second derivative of 0*p**2 + 5/3*p**4 + 19 + 1/42*p**7 - 5*p - 1/15*p**6 - 2*p**3 - 7/20*p**5. Suppose c(i) = 0. Calculate i.
-3, 0, 1, 2
Let d = -60245 + 60245. Solve -1/5*p**3 + d*p**2 + 0 + 1/5*p = 0 for p.
-1, 0, 1
Let -11/3*k - 39/2 - 1/6*k**2 = 0. What is k?
-13, -9
Find j, given that 320*j - j**2 + 6204 + 249*j + 5*j**2 + 135*j - 96*j = 0.
-141, -11
Factor 1411 + 4771 + 7*j**2 + 688*j - 3*j**2 - 1887 + 25289.
4*(j + 86)**2
Suppose 0 = -2*c + 5*z + 11, 4*c = 32*z - 30*z + 30. Let p(h) be the first derivative of 9 - 32/3*h**3 - c*h**2 - 3*h**4 + 0*h. Determine k so that p(k) = 0.
-2, -2/3, 0
Suppose -323 = -51*a + 32*a. Find t, given that -a*t - 29*t**2 + 12*t**2 + 1296 + 18*t**2 - 7*t - 48*t = 0.
36
Let g(u) = u**2 - 135*u - 19624. Let t be g(-88). Factor 132/7*m**2 + 2178/7*m + 2/7*m**3 + t.
2*m*(m + 33)**2/7
What is l in -95 - 1/6*l**2 + 287/6*l = 0?
2, 285
Let u(d) be the third derivative of 0*d**3 + 4*d**2 + 3*d + 1/12*d**5 + 55/24*d**4 + 0. Suppose u(t) = 0. Calculate t.
-11, 0
Let z(k) = -2*k**4 + 2*k**3 + k - 1. Let u(v) = -3*v**4 - 54*v**3 - 7*v**2 + 41*v + 23. Let t(d) = -2*u(d) - 6*z(d). Suppose t(c) = 0. Calculate c.
-5, -2/3, 1
Let z(q) = -2*q**3 + 48*q**2 - 20*q - 11. Let j be z(23). Let r = j + -2923/5. Suppose 0 - 3/5*t**2 + 0*t + r*t**5 + 3/5*t**4 - 12/5*t**3 = 0. Calculate t.
-1, -1/4, 0, 1
Let z(b) = 9 + 7*b + 560*b**2 - 4 - 566*b**2. Suppose -2*v - 14 + 4 = 0. Let m(s) = 5*s**2 - 6*s - 4. Let c(r) = v*m(r) - 4*z(r). Factor c(j).
-j*(j - 2)
Factor 660*t**2 + 3872*t + 1/2*t**4 - 10648 + 32*t**3.
(t - 2)*(t + 22)**3/2
Let j(t) be the first derivative of 3*t**4/4 + 761*t**3 + 217740*t**2 + 433200*t - 4780. Determine w, given that j(w) = 0.
-380, -1
Suppose 0 = -10*j + 20*j - 50. Factor -425*n**3 + 120 - 13*n**2 + 4*n - j*n**4 + 450*n**3 - 104*n + 3*n**2.
-5*(n - 3)*(n - 2)**2*(n + 2)
Let f = -47480 + 47480. Suppose x - 3 = -3*r, 2*r - 4 = 2*x + 6. Find g, given that 3/5*g**r + f*g - 3/5 = 0.
-1, 1
Let j(u) be the third derivative of -3/2*u**4 - 7*u**2 + 6*u - 13/20*u**5 - 1/40*u**6 + 0*u**3 + 0. Factor j(l).
-3*l*(l + 1)*(l + 12)
Suppose -44 = -17*c - 45 + 35. Suppose 0 + 32/11*y - 2/11*y**c = 0. What is y?
0, 16
Let i(c) = 15*c**2 + 191*c**4 - 95*c**4 - 90*c**4 + 5 + 11*c**3. Let o(a) = a**4 + a**2 + 1. Let g(l) = -i(l) + 5*o(l). Factor g(t).
-t**2*(t + 1)*(t + 10)
Let c(s) be the third derivative of -11/16*s**4 - 3*s**2 + 0*s**3 + 29 - 1/80*s**5 + 0*s. Factor c(w).
-3*w*(w + 22)/4
Suppose -52*t + 8937 = -4271. Let j be -251 + t - (-21)/10*2. Determine k so that 4/5*k**2 - 24/5*k + j = 0.
3
Let j(h) be the third derivative of -5/3*h**3 + 24*h**2 + 0 + 3/4*h**5 + 11/12*h**6 - 35/24*h**4 + 0*h + 4/21*h**7. Determine g so that j(g) = 0.
-2, -1, -1/4, 1/2
Factor -1/3*y**3 + 114*y**2 + 344/3 + 229*y.
-(y - 344)*(y + 1)**2/3
Let c(b) be the first derivative of -b**5/90 - 2*b**4/27 - 4*b**3/27 + 63*b + 21. Let x(s) be the first derivative of c(s). Determine r, given that x(r) = 0.
-2, 0
Let -18 + 42*k - 5 - 3*k**2 - 25 - 27 + 36 = 0. What is k?
1, 13
Let t be (-675)/(-200) - 4/(64/6). Let v be (4/t)/(590/177). Factor v*x**2 - 4/5 + 2/5*x.
2*(x - 1)*(x + 2)/5
Let v(p) be the first derivative of 2*p**7/105 + 4*p**6/15 - 3*p**2 - 12*p + 100. Let d(s) be the second derivative of v(s). Determine y so that d(y) = 0.
-8, 0
Let a(t) be the first derivative of t**4/16 - 37*t**3/6 - 151*t**2/8 - 19*t - 363. Factor a(u).
(u - 76)*(u + 1)**2/4
Let n = -94 + 95. Let c(r) = 4*r**3 - 5*r**2 + 3*r + 2. Let o be c(0). Factor -3/4*k - 1/4*k**o + n.
-(k - 1)*(k + 4)/4
Suppose 0 + 19/7*z**3 + z**4 - z**2 - 1/7*z**5 - 18/7*z = 0. What is z?
-2, -1, 0, 1, 9
Let x(l) be the third derivative of -2/15*l**5 - 8/21*l**3 + 0 - 4/105*l**6 - 1/2352*l**8 + 100*l**2 + 0*l - 3/490*l**7 - 2/7*l**4. What is h in x(h) = 0?
-2, -1
Let t(y) be the third derivative of -y**7/140 - 31*y**6/40 - 28*y**5 - 294*y**4 - 2*y**2 - 603*y. Factor t(d).
-3*d*(d + 6)*(d + 28)**2/2
Let y(g) be the third derivative of -g**5/600 + g**4/24 - 2*g**3/5 + g**2 - 4540*g. Factor y(f).
-(f - 6)*(f - 4)/10
Find s such that -37*s**3 + 32*s + 144*s**3 + 763*s**4 - 226*s**2 + 99*s**3 - 775*s**4 = 0.
0, 1/6, 1, 16
Let g(x) be the first derivative of 7*x**4/12 - 4*x**3 + 59*x**2/6 - 10*x + 813. Factor g(i).
(i - 2)*(i - 1)*(7*i - 15)/3
Let g(w) = -11744*w - 117437. Let s be g(-10). Factor -46/17*c**2 - 10/17*c**s - 24/17 - 64/17*c.
-2*(c + 2)**2*(5*c + 3)/17
Let -3040*s**4 - 18*s**5 + 725*s - 4668*s**3 - 848*s**2 - 725*s - 798*s**4 = 0. Calculate s.
-212, -1, -2/9, 0
Let u(i) be the third derivative of i**8/84 + 2*i**7/21 - i**6/30 - i**5/3 + 3*i**2 - 338. Let u(o) = 0. What is o?
-5, -1, 0, 1
Let l = 3850008/175 - 22000. Let n(f) be the third derivative of 0*f**3 - 1/420*f**8 + 0*f**4 + l*f**7 - 2*f**2 + f - 6/25*f**6 + 0 + 0*f**5. Factor n(j).
-4*j**3*(j - 6)**2/5
Suppose -2*f = -134 + 98. Let -36*i**3 - 32*i**4 + 58*i**4 - f*i**4 - 2*i**5 - 8*i**2 + 32*i + 6*i**5 = 0. What is i?
-4, -1, 0, 1, 2
Let t be (-86)/(-6) + (-36)/27. Suppose -3 = 9*f - 10*f. Factor 6*b - 5*b + 4*b**f - t*b + 10*b**2 - 2*b**2.
4*b*(b - 1)*(b + 3)
Suppose 0 = 2*t - 4*p - 16, 5*t - 6*p - 40 = -3*p. What is d in -17*d - 13*d - 2*d**2 + t*d = 0?
-11, 0
Let g(p) be the first derivative of -p**2 + 2/3*p**3 - 7 + 0*p. Factor g(c).
2*c*(c - 1)
Factor 7/6*i**2 - 5/2*i - 1/6*i**3 + 3/2.
-(i - 3)**2*(i - 1)/6
Let d(k) be the third derivative of 4*k**7/525 - 13*k**6/300 - 61*k**5/150 - 8*k**4/15 + 4*k**3/5 + 2300*k**2. Find l, given that d(l) = 0.
-2, -1, 1/4, 6
Let v(j) = -2*j**5 - 2*j**4 + 17*j**3 + 33*j**2 + 15*j. Let f(u) = u**5 + 2*u**4 + u**3 - u**2. Let n(d) = -2*f(d) - 2*v(d). Suppose n(i) = 0. What is i?
-3, -1, 0, 5
Let k(b) = -68*b + 10. Let v be k(-2). Suppose -4*f + v = -514. Factor -243*n**3 + f*n + 37 + 621*n**2 - 1 + 147*n.
-3*(n - 3)*(9*n + 2)**2
Suppose -2*p + 3*c + 1 = 0, -3*c - 11 = -p - 5*c. Let h be (-80)/100*(-1)/2*p. Factor 0 + 1/2*k + 1/4*k**h.
k*(k + 2)/4
Let f(s) = 2*s**2 - 26*s. Let c(x) = 6*x**2 - 78*x. Suppose 0 = -k, 5*y - 3*k + 24 + 1 = 0. Let p(q) = y*c(q) + 14*f(q). Factor p(m).
-2*m*(m - 13)
Suppose 10*o - 64*o = 432. Let x be -5 - (-9)/2 - 4/o. What is r in x - 1/3*r**3 + 0*r + 1/3*r**2 = 0?
0, 1
Factor -56/3 + 236/9*t - 38/3*t**2 + 7/3*t**3 - 1/9*t**4.
-(t - 14)*(t - 3)*(t - 2)**2/9
Let u be ((-231945)/140)/((-12)/16). Let o be 1/30*u + 238/(-1785). Let -413/4*f**3 + 1 - 115/4*f**2 + 2*f - o*f**4 = 0. What is f?
-1, -2/7, 1/6
Let x = -136817/476 + -165/68. Let h = x + 290. What is g in h*g**2 - 4/7 + 0*g = 0?
-2, 2
Let o = -2315/4 - -587. Suppose 42*p - 42 = 84. Find i, given that 45/4*i**4 - 9*i + o*i**p - 2 - 17/2*i**2 = 0.
-2/3, -2/5, 1
Let j(n) = 4*n**3 + 7*n**2 - 6*n - 1. Let c be j(1). Let d(r) be the second derivative of -1/160*r**5 - 1/96*r**c + 0*r**2 + 0*r**3 + 0 + r. Factor d(v).
-v**2*(v + 1)/8
Let u = -490 - -497. Let k(z) be the second derivative of 0*z**2 + u*z - 9/16*z**4 - 1/4*z**3 - 3/40*z**6 - 3/8*z**5 + 0. Find c such that k(c) = 0.
-2, -1, -1/3, 0
Let x(a) = -11*a**3 - 94*a**2 - 201*a - 28. Let s be x(-5). Solve 52/11 - 54/11*p + 2/11*p**s = 0 for p.
1, 26
Suppose -p - 6 + 10 = 0. Let j be 40/30*6/p. Factor -6*v**3 + 2*v**4 + 9*v**2 - 6*v**j + v**2 + 0*v**3.
2*v**2*(v - 2)*(v - 1)
Let j(p) be the third derivative of -p**7/630 + 17*p**6/360 + 11*p**5/9 + 91*p**4/18 - 13*p**2 + 100. Find s such that j(s) = 0.
-7, -2, 0, 26
Factor -317 - 250 + 174*t - 66*t - 48 + 3*t**2.
3*(t - 5)*(t + 41)
Let p(s) be the first derivative of -3/20*s**5 + 45 - 7/16*s**4 - 6*s + 7/2*s**2 + 3/2*s**3. Suppose p(i) = 0. Calculate i.
-3, -2, 2/3, 2
Let p(q) be the second derivative of q**4/66 - 59*q**3/11 + 1352*q**2/11 + 3343*q. Let p(z) = 0. Calculate z.
8, 169
Let m(c) be the first derivative of c**5/60 + 5*c**4/12 + 3*c**3/2 + 23*c**2/2 + 76. Let f(j) be the second derivative of m(j). Let f(p) = 0. What is p?
-9, -1
