) = -5*c(l) - 6*z(l). Factor x(m).
-2*(m - 4)*(m + 141)
Let l(n) be the second derivative of 1/4*n**4 + 10*n**3 - 109*n + 0 + 57/2*n**2. Let l(u) = 0. Calculate u.
-19, -1
Let u(n) be the second derivative of -n**4/30 - 119*n**3/15 - 92*n**2 + 3556*n. Factor u(f).
-2*(f + 4)*(f + 115)/5
Suppose 53/2*z**4 + 1/4*z**3 - 1/4*z**5 + 0 + 0*z - 53/2*z**2 = 0. What is z?
-1, 0, 1, 106
Let b(s) be the third derivative of -1/80*s**5 + 0*s**4 - 79*s**2 + 1/8*s**3 + 0 + 0*s. Find h, given that b(h) = 0.
-1, 1
Let j(w) be the second derivative of w**6/225 - 53*w**5/75 + 2473*w**4/90 + 5936*w**3/15 + 9408*w**2/5 + w - 96. What is x in j(x) = 0?
-3, 56
Let c be 1749 - 0 - (27 + -22). Factor 1789*n - 5*n**2 + 27 - c*n + 23.
-5*(n - 10)*(n + 1)
Let f(u) = 5*u**2 + 7423*u - 7466. Let g(d) = 135*d**2 + 200400*d - 201580. Let b(h) = -55*f(h) + 2*g(h). Suppose b(x) = 0. What is x?
-1494, 1
Let l be (29/(-58))/((-3)/12). Suppose 3*i + 28 = -4*j + 48, -i - 10 = -l*j. Factor 1/2*g**5 - 5/2*g**4 + 7/2*g**3 - 3/2*g**2 + i*g + 0.
g**2*(g - 3)*(g - 1)**2/2
Let d(q) be the second derivative of 10*q**3 + 1/10*q**6 + 9/2*q**4 + 21/20*q**5 + 12*q**2 + 8*q - 1. Suppose d(g) = 0. Calculate g.
-2, -1
Find k such that -k**2 - 2677 + 195 + 116*k - 882 = 0.
58
Let m be (-140)/6*(-99)/(-22). Let x be m/(-2625)*(-1 + 2*3). Factor 5 + 11/5*i**2 - x*i**3 - 7*i.
-(i - 5)**2*(i - 1)/5
Let l(r) be the first derivative of 0*r**2 + 0*r**3 + 16/5*r**5 - 51 + 0*r - r**6 + 3/2*r**4. Factor l(z).
-2*z**3*(z - 3)*(3*z + 1)
Let w(y) be the first derivative of -y**4/54 - 13*y**3/27 - 205*y - 58. Let i(j) be the first derivative of w(j). Determine b so that i(b) = 0.
-13, 0
Let s(y) be the first derivative of y**6/60 - y**5/10 + 5*y**2 + 4*y - 52. Let b(d) be the second derivative of s(d). Factor b(o).
2*o**2*(o - 3)
Factor 11*l + 4*l**2 + 312 - 166*l - 112*l - 97*l + 48*l.
4*(l - 78)*(l - 1)
Find u, given that 3456 - 14262*u + 39906*u**2 - 6393*u - 9342*u**3 - 3*u**5 - 23765 + 321*u**4 - 49918 = 0.
-1, 3, 51
Let b(f) = 21*f**2 - 100*f - 451. Let p(z) = 4*z**2 - 26*z - 90. Let w(r) = 4*b(r) - 22*p(r). Solve w(o) = 0.
-1, 44
Let k(m) be the second derivative of 5*m**4/12 + 5095*m**3/6 + 4906*m. Factor k(o).
5*o*(o + 1019)
Let r(k) be the third derivative of k**8/53760 - k**7/10080 - k**4 + 6*k**2 - 2*k. Let u(i) be the second derivative of r(i). Factor u(l).
l**2*(l - 2)/8
Suppose -55*u + 6 = -53*u. Factor -3 - u - 10*t + 14*t + 2*t**2.
2*(t - 1)*(t + 3)
Let u be 30/(-20)*(-30)/9. Let b(h) be the third derivative of 0*h + 20*h**2 + 1/135*h**u + 5/108*h**4 + 0 + 2/27*h**3. Let b(c) = 0. What is c?
-2, -1/2
Determine b, given that 832*b**2 - 390*b**3 + 116*b**4 + 7335*b**5 - 7333*b**5 + 1030*b**3 = 0.
-52, -4, -2, 0
Let z(g) be the second derivative of 0*g**2 - 62*g - 8/3*g**3 + 13/3*g**4 + 0 - 26/15*g**6 + 1/5*g**5 + 2/7*g**7. What is y in z(y) = 0?
-1, 0, 1/3, 1, 4
Let i(c) = 2*c**2 + 17*c + 39. Let t be i(-4). Let q(r) = 6*r**2 + 6*r - 3. Let v(d) = -d**2 - d + 1. Let a(x) = t*v(x) + q(x). Factor a(g).
3*g*(g + 1)
Let v(b) be the first derivative of -4/7*b**2 - 117 - 1/21*b**3 + 33/7*b. What is i in v(i) = 0?
-11, 3
Let g(i) be the third derivative of -i**5/30 - 139*i**4/36 - 46*i**3/9 - 493*i**2. Factor g(n).
-2*(n + 46)*(3*n + 1)/3
Suppose 12 = -20*l + 23*l. Suppose l = 2*f, -2*f = 3*b + 86 - 330. Suppose 143*j**3 + 5*j**5 - b + 17*j**3 - 280*j**2 + 246*j - 45*j**4 - 6*j = 0. Calculate j.
1, 2
Let y(w) = -23*w**2 + 40*w + 41*w**2 - 78 + 125 + w**3 + 8*w. Let o be y(-15). Factor 3/2 + 11/2*x - o*x**2.
-(x - 3)*(4*x + 1)/2
Let n = 330 - 325. Find m such that 40*m**2 + 40*m**2 + n*m**3 + 145*m + 2805 - 2735 = 0.
-14, -1
What is p in -2/11*p**2 - 29768/11 + 488/11*p = 0?
122
Factor -11*g**2 + 1132*g - 14*g**2 - 13*g**2 + 45*g**2 - 5*g**2.
2*g*(g + 566)
Suppose -3 - 1 = 2*h + 3*t, -12 = 2*h + 5*t. Suppose 0 = -4*n + 12, -3*x = -h*x + 2*n - 6. What is z in x - 4/9*z**2 + 0*z = 0?
0
Let p be (-4 - -3)/(((-21)/(-18))/(-7)). Let s(d) = d**3 - 6*d**2 + d + 6. Let l be s(p). Factor 28*h**2 + 12*h - 2*h + 4*h**3 - l*h**2 + 6*h.
4*h*(h + 2)**2
Factor -3/4*w**2 + 3*w + 231/4.
-3*(w - 11)*(w + 7)/4
Let z(o) = -26*o + 11*o**3 - 4*o**3 + 4 - 4 + 50*o**2 - 25*o**3. Let w(i) = i**3 - i**2 - i. Let y(l) = -6*w(l) - z(l). Factor y(h).
4*h*(h - 1)*(3*h - 8)
Let r(j) be the first derivative of 4*j**3/3 + 474*j**2 - 952*j - 641. Factor r(q).
4*(q - 1)*(q + 238)
Let m(z) = -4*z**4 + 126*z**3 - 430*z**2 - 44*z - 4. Let w(j) = 4*j**4 - 127*j**3 + 429*j**2 + 66*j + 6. Let u(d) = 3*m(d) + 2*w(d). Factor u(s).
-4*s**2*(s - 27)*(s - 4)
Let z(q) be the second derivative of -q**6/2340 - 2*q**5/195 - 4*q**4/39 - 31*q**3/6 + q**2/2 + 66*q. Let d(j) be the second derivative of z(j). Factor d(m).
-2*(m + 4)**2/13
Find a, given that 984/13 + 488/13*a - 2/13*a**2 = 0.
-2, 246
Let i(m) be the second derivative of -m**5/10 + 311*m**4/42 - 3520*m**3/21 + 1452*m**2/7 + 908*m. Factor i(x).
-2*(x - 22)**2*(7*x - 3)/7
Let l = -3550 + 3552. Let s(x) be the first derivative of -1/18*x**4 - 10/27*x**3 - 36 - 8/9*x - 8/9*x**l. Factor s(i).
-2*(i + 1)*(i + 2)**2/9
Let z be 45 - ((5 - 3)/(-1) - -5). Let f = 51 - z. Factor -f*o**5 - 4*o**3 + 18*o**5 - 5*o**5.
4*o**3*(o - 1)*(o + 1)
Suppose -6*d + 23*m = 20*m - 6, -d = -2*m + 5. Determine r so that 10/13*r**2 - 2/13*r**4 + 0*r**d - 8/13 + 0*r = 0.
-2, -1, 1, 2
Let i(w) be the first derivative of 20/3*w**3 + 10*w**2 - w**5 - 229 + 0*w - 5/4*w**4. Suppose i(f) = 0. Calculate f.
-2, -1, 0, 2
Suppose -406*m + 25203 - 24391 = 0. Suppose -15/4*y**3 - 9/4*y**m + 15/4*y + 9/4 = 0. What is y?
-1, -3/5, 1
Let o = -582/121 - -4558/847. Factor 30/7 - 2/7*n**2 + o*n.
-2*(n - 5)*(n + 3)/7
Let x be 1090806/1624 + 8/14. Let b = x - 670. What is u in 9/4*u**4 + 0 - b*u**2 - 3/2*u**5 + 3*u**3 - 3/2*u = 0?
-1, -1/2, 0, 1, 2
Let z = -4831 + 4834. Let l(n) be the second derivative of 0 - 2/5*n**5 + 16/3*n**z + 8*n**2 + 16*n - 2/15*n**6 + n**4. Let l(s) = 0. Calculate s.
-2, -1, 2
Factor -4 + 4 + 776*l**2 - 137*l**3 + 2688*l + 1908*l**2 + 133*l**3.
-4*l*(l - 672)*(l + 1)
Factor -48 + 2/5*k**2 + 116/5*k.
2*(k - 2)*(k + 60)/5
Let n be 96/(-132)*(-33)/54. Let r(o) be the third derivative of 0*o + 20*o**2 - 1/90*o**5 + 0 - n*o**3 + 1/9*o**4. Factor r(i).
-2*(i - 2)**2/3
Let p = -1/1027 + -137/21567. Let b = p + 80/273. Factor -b - 4/7*u**3 + 9/7*u - 3/7*u**2.
-(u - 1)*(u + 2)*(4*u - 1)/7
Suppose -121 = -58*w - 5. Let o(d) be the first derivative of -16*d - 4/3*d**3 + 3 + 10*d**w. Factor o(b).
-4*(b - 4)*(b - 1)
Let y(h) = -448*h - 1380. Let a(f) = -2*f**2 - 1344*f - 4140. Let r(o) = 2*a(o) - 7*y(o). Factor r(c).
-4*(c - 115)*(c + 3)
Let k(z) be the second derivative of 1/294*z**7 - 4/21*z**4 - 1/7*z**2 + 3/14*z**3 - 3*z + 1/10*z**5 + 5 - 1/35*z**6. Find y, given that k(y) = 0.
1, 2
Let j(o) be the first derivative of -o**4/42 + 26*o**3/7 - 1521*o**2/7 - 107*o + 93. Let p(l) be the first derivative of j(l). Determine w so that p(w) = 0.
39
Suppose -3 + 0 = -3*t, k + 3 = 4*t. Let o be (4/6)/(k + 7/(-9)). Factor 24*f - o*f**2 - 18 - 2 - f**2.
-4*(f - 5)*(f - 1)
Let i(m) be the second derivative of 2*m**7/63 - 8*m**6/45 - 31*m**5/5 + 76*m**4 - 264*m**3 - m - 270. Determine s, given that i(s) = 0.
-11, 0, 3, 6
Let l be (-15)/50 - (135/50 + -7). What is i in 0*i + 0 + 6*i**3 + 6*i**2 + 3/2*i**l = 0?
-2, 0
Suppose 67 + 41 = 3*h. Let j = 39 - h. Let u**4 + 6*u**3 - 12*u**j + 8*u**4 = 0. What is u?
0, 2/3
Let m be (37/21)/((-77)/105 - -1) - 48/(-192). Let 15/7*u**2 - m + 6/7*u = 0. What is u?
-2, 8/5
Let x(c) be the first derivative of c**4/6 - 22*c**3/9 - 74*c**2/3 - 64*c + 2606. Suppose x(z) = 0. Calculate z.
-3, -2, 16
Let p(k) be the second derivative of -k**6/2 + 7*k**5/4 + 455*k**4/12 + 265*k**3/6 - 70*k**2 - 25*k + 11. Find u such that p(u) = 0.
-4, -1, 1/3, 7
Let g(z) be the third derivative of 0 + 2/33*z**3 + 1/30*z**6 - 153*z**2 - 2/165*z**7 - 2/55*z**5 + 1/616*z**8 + 0*z - 1/132*z**4. Determine h so that g(h) = 0.
-1/3, 1, 2
Let o be (-2 + 13 + -35)*(-108)/1008. Factor 2/7*l**3 + 50/7 - o*l**2 + 30/7*l.
2*(l - 5)**2*(l + 1)/7
Let f(i) = 9*i**2 + i - 2. Let n(o) = 48*o**2 + 75*o - 58. Let x(u) = -10*f(u) + 2*n(u). Let x(h) = 0. Calculate h.
-24, 2/3
Let x be (19920/182600)/((-6)/(-110)). Let o = 241/3 + -79. Factor o*