2*l.
-2*(4*l - 1)*(5*l - 3)/17
Let m(h) be the first derivative of h**5/20 - 9*h**4/16 + h**3/6 + 21*h**2/2 + 18*h - 689. Let m(q) = 0. What is q?
-2, -1, 6
Let n(b) be the third derivative of 0*b + 0 + 3/40*b**6 - 3/20*b**5 + 1/8*b**4 + 0*b**3 + 22*b**2 - 1/70*b**7. Factor n(m).
-3*m*(m - 1)**3
Factor -8/3*d**2 + 53/3*d + 7.
-(d - 7)*(8*d + 3)/3
Let r(j) = -28*j**2 + 104*j + 184. Let q be r(5). Factor 16/7*n**2 - 18/7*n**3 + 0*n + 2/7*n**q + 0.
2*n**2*(n - 8)*(n - 1)/7
Let a(s) be the third derivative of -s**6/30 + 719*s**5/30 - 5370*s**4 - 10800*s**3 - s**2 + 218*s. Factor a(l).
-2*(l - 180)**2*(2*l + 1)
Suppose 0 = -z - 18*z. Let d be -5 + z + 17/(680/210). Factor 3/2*m**3 + m**2 + 0 - 2*m - 5/4*m**4 + d*m**5.
m*(m - 2)**3*(m + 1)/4
Let t(f) be the third derivative of f**7/455 - f**6/78 - 7*f**5/26 - 5*f**4/13 + 32*f**3/39 + 430*f**2. Find z such that t(z) = 0.
-4, -1, 1/3, 8
Suppose -180 = 2*d - 6*d. Let j = 47 - d. Factor 18*b**j - 7*b**2 + 5*b - 6*b**2.
5*b*(b + 1)
Suppose 0 = 5*w - 15, -4*w - w + 9 = 3*m. Let l be -7*((-12)/84 - m/(-7)). Factor 0*t + 3/8*t**l + 3*t**2 + 0.
3*t**2*(t + 8)/8
Let u(k) = -k**2 + k - 2. Let l(z) = z**3 - 28*z**2 + 4*z - 8. Let w be -2*2*1/4. Let g(y) = w*l(y) + 4*u(y). Let g(f) = 0. Calculate f.
0, 24
Let u be 4/(-10) + (-5)/(-1325). Let z = u + 243/212. What is y in -z*y**3 + 0 + 3*y + 0*y**2 = 0?
-2, 0, 2
Solve -149519*j**3 - 4*j**4 + 176*j + 149475*j**3 - 167*j**2 - 960 + 423*j**2 = 0 for j.
-15, -2, 2, 4
Suppose 13*m = 776 + 277. Let j be (27/m)/((-8)/(-6)). Find k, given that -j*k + 1/8*k**3 - 1/8*k**2 + 0 = 0.
-1, 0, 2
Solve 24347*p**2 - 4*p**3 - p**4 + 0*p**4 - 24403*p**2 - 92*p + 3*p**4 - 42 = 0 for p.
-3, -1, 7
Let t(q) be the first derivative of -26 + q**2 - 7/3*q**3 - 4/3*q**4 - 14*q. Let n(l) be the first derivative of t(l). Let n(i) = 0. What is i?
-1, 1/8
Let m = 59 - 56. Factor 2*a + 47 - 64*a**2 + 17 + 0*a**2 + 0*a**3 + m*a**3 - 5*a**3.
-2*(a - 1)*(a + 1)*(a + 32)
Let m(u) be the second derivative of -u**5/30 - 26*u**4/9 - 149*u**3/9 - 98*u**2/3 + 3647*u. Factor m(a).
-2*(a + 1)*(a + 2)*(a + 49)/3
Suppose -4*q - 20 = -14*q. What is t in 4*t**3 + 8*t**q - 32*t - 3509 + 3509 = 0?
-4, 0, 2
Solve 1147*w**3 - 1155*w**3 + 110*w + 49*w**2 + 53*w**2 = 0.
-1, 0, 55/4
Suppose 0 = 5*b + 1141 + 429. Let a = 317 + b. What is c in 2/7 + 2/7*c**4 + 8/7*c + 12/7*c**2 + 8/7*c**a = 0?
-1
Let d = -406871/36 - -101738/9. Let 0 + 3/4*g**5 + 0*g + 0*g**4 + 3/2*g**2 - d*g**3 = 0. What is g?
-2, 0, 1
Let h = -4050 - -4053. Let v(i) be the second derivative of 8*i**h + 1/14*i**7 - 4/5*i**6 - 8*i**4 + 18/5*i**5 + 0 + 3*i + 0*i**2. Find t, given that v(t) = 0.
0, 2
Let w(x) be the third derivative of -x**8/448 - x**7/140 + 103*x**6/160 - 49*x**5/20 + 3*x**4 - 4*x**2 - 9*x - 1. Find b such that w(b) = 0.
-12, 0, 1, 8
Let m(y) be the third derivative of -6*y + 8*y**2 + 3/230*y**5 - 2/23*y**3 + 1/345*y**6 - 1/276*y**4 + 0. Find i such that m(i) = 0.
-2, -1, 3/4
What is c in -c**5 - 289*c**3 - 6912*c - 70*c**4 + 30*c**4 - 490*c**2 - 292*c**3 + 5*c**3 - 2966*c**2 = 0?
-12, -4, 0
Let w be (11 + 2266/(-209))/(6/16). Solve w - 2/19*k**3 + 12/19*k**2 - 18/19*k = 0.
1, 4
Let n(x) = 7*x**2 + 21*x - 10. Let w(p) = -6*p**2 - 19*p + 10. Let g be (-363)/(-77) + (-2)/(-7). Let d(v) = g*n(v) + 6*w(v). Find z, given that d(z) = 0.
-10, 1
Let y(r) be the second derivative of r**6/1260 + 11*r**5/420 + 107*r**3/6 + 213*r. Let w(z) be the second derivative of y(z). Let w(i) = 0. Calculate i.
-11, 0
Let d be (5 - (-26)/(-6))*2. Let i(o) be the first derivative of 4/9*o**4 + 8/27*o**3 + 4/45*o**5 - 3 - d*o - 8/9*o**2. Determine u, given that i(u) = 0.
-3, -1, 1
Let n(k) be the first derivative of 1/7*k**3 + 39/7*k - 26 - 3*k**2. Factor n(u).
3*(u - 13)*(u - 1)/7
Let v(h) be the third derivative of -h**6/840 - 19*h**5/105 + h**4/168 + 38*h**3/21 - 184*h**2. Factor v(f).
-(f - 1)*(f + 1)*(f + 76)/7
Let f = -591304703/579 + 1021252. Let s = -4/193 + f. Factor 1 + s*m - 1/3*m**3 - m**2.
-(m - 1)*(m + 1)*(m + 3)/3
Let b(u) be the second derivative of 1445*u**4/12 + 2125*u**3/3 + 3125*u**2/2 + 70*u. Factor b(x).
5*(17*x + 25)**2
Let s(y) = -10*y**3 - 403*y**2 + 2464*y - 3446. Let t(o) = 3*o**3 + 134*o**2 - 821*o + 1162. Let a(w) = 6*s(w) + 21*t(w). Let a(n) = 0. What is n?
-138, 3
Let 131/4*m**3 + 11/8*m**4 - 11/2 + 447/8*m**2 + 19*m = 0. Calculate m.
-22, -1, 2/11
Suppose -21 = 3*s - 9. Let j be ((-33)/(-6))/((-1)/s). Suppose 6 - 6*m**2 - 19*m**3 + m - 5*m + m + j*m**3 = 0. What is m?
-1, 1, 2
Factor -2166*a - 41*a**3 + 11685*a**2 + 1289*a**3 + 25*a**4 + 8*a**4.
3*a*(a + 19)**2*(11*a - 2)
Let k(s) be the first derivative of s**4/4 - 10*s**3/3 + 25*s**2/2 + 232. What is x in k(x) = 0?
0, 5
Suppose 223/2*n**2 - 1/6*n**3 + 0 + 335/3*n = 0. What is n?
-1, 0, 670
Let n = -492500 + 492504. Factor 3/4*y**5 - 21/2*y**n + 0*y + 147/4*y**3 + 0*y**2 + 0.
3*y**3*(y - 7)**2/4
Let a(o) be the second derivative of 11*o**6/120 + 67*o**5/40 - 71*o**4/12 - 7*o**3/3 - 2*o + 127. Suppose a(s) = 0. What is s?
-14, -2/11, 0, 2
Let j be -15 + 11 + 22*3. Let o = j - 62. Factor -36 - x**2 - 4*x + o*x - x + 17*x.
-(x - 6)**2
Let m(c) = -43*c**3 - 187*c**2 - 579*c - 435. Let i(o) = -20*o**3 - 92*o**2 - 290*o - 218. Let t(d) = 15*i(d) - 7*m(d). Factor t(v).
(v - 75)*(v + 1)*(v + 3)
Suppose 13*j - 5*p = 14*j - 2361, -5*j = p - 11805. Let n = -1 - -3. Factor n*k + 0*k + j + 2*k**2 - 2365.
2*(k - 1)*(k + 2)
Let w(o) be the first derivative of o**3/18 - 19*o**2/6 + 576. Solve w(m) = 0.
0, 38
Let u be (246/42 + -5)*7*1. Let n(r) = -r**2 + 37*r - 286. Let p(q) = -6*q**2 + 221*q - 1717. Let o(b) = u*p(b) - 34*n(b). Determine v so that o(v) = 0.
17
Let s(n) be the second derivative of -n**4/60 - 1169*n**3/15 + 2339*n**2/10 + 4586*n. Suppose s(r) = 0. What is r?
-2339, 1
Let w be 6/(-30) + 418/190. Solve -25/6*x + 0 - 5/6*x**w = 0 for x.
-5, 0
Let o be 2/5 + 3276/(-65). Let i = o + 58. What is k in -20*k + 22*k**2 - 18*k**2 - i - 16*k**2 = 0?
-1, -2/3
Suppose -k - 1397*z - 35 = -1392*z, -2*k - 6*z - 42 = 0. Let k*a - 2 + 1/2*a**2 = 0. What is a?
-2, 2
Let b be ((-18)/(-30))/((-3)/(-105)). Determine g, given that -45*g + 12*g**2 + 54 - 11 + b - g**3 - 14 = 0.
2, 5
Let b = 477 + -449. Let h be (2*(-21)/b)/((-30)/8). Find k, given that -4/5 + h*k**2 + 2/5*k = 0.
-2, 1
Factor 4034866688/5 - 1/5*z**3 + 4776/5*z**2 - 7603392/5*z.
-(z - 1592)**3/5
Let c(y) be the first derivative of -5*y**4/12 + 127*y**3/9 - 275*y**2/3 + 200*y/3 + 734. Factor c(r).
-(r - 20)*(r - 5)*(5*r - 2)/3
Suppose -353 = -5*n - 4*w + 8*w, 67 = n - 2*w. Factor 7*j**3 - 38 + n + 12*j**2 - 37 + 3*j.
(j + 1)**2*(7*j - 2)
Determine o, given that 471/8*o**3 + 0*o - 3/8*o**5 + 237/8*o**2 + 0 + 231/8*o**4 = 0.
-1, 0, 79
Let q(z) = 3*z**2 - 369*z - 369. Let g be q(-1). Let f = 5/9 + 1/9. Factor 0*y + 2*y**2 + f*y**g - 8/3.
2*(y - 1)*(y + 2)**2/3
Let t(n) be the first derivative of n**5 + 5*n**4/2 - 20*n**3/3 - 20*n**2 - 293. Factor t(u).
5*u*(u - 2)*(u + 2)**2
Factor -2/9*a**4 + 172/9*a**3 - 4178/9*a**2 + 6880/3*a - 3200.
-2*(a - 40)**2*(a - 3)**2/9
Let i(k) = k - 1. Suppose 5*s + 10 = 3*s + 2*v, -2*v - 14 = 4*s. Let p(b) = 2*b**3 + 2*b**2 - 12*b - 4. Let j(o) = s*i(o) - p(o). Let j(y) = 0. What is y?
-2, -1, 2
Let o be 6/7*42/24. Let l = 1764 + -1758. Suppose -l + 39/4*y**2 + o*y + 9/4*y**3 = 0. What is y?
-4, -1, 2/3
Find n, given that 5774 + 8*n**2 + 1531 - 3*n**2 + 5700 + 510*n = 0.
-51
Let d(o) = -7828*o - 23481. Let z be d(-3). Find g, given that -71/2*g**2 - 50 + 7/4*g**z + 185*g = 0.
2/7, 10
Suppose -2*v + 51*r - 44 = 56*r, -5*v - 4*r = 25. Factor -3/5*n**4 + 0*n + 0 + 3/5*n**2 + 0*n**v.
-3*n**2*(n - 1)*(n + 1)/5
Factor -11204*d**2 - 344344*d - 24*d**3 + 2957676*d + 872356 + 36*d**3.
4*(d - 467)**2*(3*d + 1)
Let k = 1 + 1. Let u be (-8)/(-6) + k/3. Let b(t) = 2*t**3 - 2. Let v(a) = -2*a**3 + a**2 - a + 2. Let y(i) = u*v(i) + 3*b(i). Factor y(p).
2*(p - 1)*(p + 1)**2
Let f be (16/14)/(16/(-56))*-1. Let b(v) be the second derivative of 0 + 0*v**2 - 2*v**3 + 14*v - 1/6*v**f + 1/10*v**5. Solve b(y) = 0 for y.
-2, 0, 3
Let x(l) be the first derivative of 1/16*l**4 - 2/3*l**3 - 3/2*l + 13/8*l**2 - 63. Factor x(k).
(k - 6)*(k - 1)**2/4
Suppose 60 = 15*v + 5*v. Factor 5*m**4 - 71 - 30*m**2 + 111 - 3*m - v*m**3 + 23*m - 2*m