c be 13/q - 59/(-472). Determine h, given that -c*h + 0*h**2 - 4/9 + 2/9*h**3 = 0.
-1, 2
Let h(g) = 5*g**2 - 17*g - 86. Let b(q) = 14*q**2 - 50*q - 259. Let u(c) = -4*b(c) + 11*h(c). What is z in u(z) = 0?
-5, 18
Suppose 107*k = -92*k - 38*k. Let w(o) be the third derivative of -1/10*o**6 + k*o - 11/8*o**4 + 2*o**3 + 0 - 29*o**2 - 19/20*o**5. What is a in w(a) = 0?
-4, -1, 1/4
Suppose 3*g + t - 32 = -14, -g - 4*t + 17 = 0. Factor 3*n**5 - n**3 + 14*n**g + 36*n**2 - n**3 - 54 - 6*n**4 - 18*n**5 + 27*n.
-(n - 2)*(n - 1)*(n + 3)**3
Suppose -8787 = 901*q - 46629. Factor 96 + q*z**2 - 104*z - 15/2*z**3 + 1/2*z**4.
(z - 4)**3*(z - 3)/2
Let w(o) = -2*o**2 - 1276*o - 203501. Let y(i) = i**2 + 638*i + 101752. Let s(k) = 6*w(k) + 14*y(k). Let s(x) = 0. What is x?
-319
Factor -2/13*b**2 + 140 + 354/13*b.
-2*(b - 182)*(b + 5)/13
Let l = -5 - -8. Suppose 2*c - 5 = -o, -l = o - 3*o + 3*c. Factor 0 + o*b**5 - 9*b + 6*b**2 + 6*b**3 + 3 + 2*b**4 - 11*b**4.
3*(b - 1)**4*(b + 1)
Factor 4/3*u**2 - 352*u + 23232.
4*(u - 132)**2/3
Let v(h) be the first derivative of -h**3 - 3/2*h**2 + 6 - h - 1/4*h**4. Factor v(w).
-(w + 1)**3
Let z(q) = 18 - 22*q + 11 + q**3 - 5 + 3 + 7*q. Let d be z(2). Solve 3/4*y**2 + 5/2*y**3 + 0*y - 9/4*y**4 - y**d + 0 = 0 for y.
-3, -1/4, 0, 1
Suppose -122*r + 1088 = -118*r. What is n in -r*n - 603*n**2 + 523*n**2 - 206 - 50 - 4*n**3 = 0?
-16, -2
Let g = -187 + 221. Suppose g*o - 144 = -2*o. Factor 0*w + 1/3*w**3 + 1/3*w**o - 1/3*w**2 + 0 - 1/3*w**5.
-w**2*(w - 1)**2*(w + 1)/3
Let g(m) = 10*m**2 - 5271*m + 6953793. Let q(j) = 23*j**2 - 10541*j + 13907594. Let y(d) = 7*g(d) - 3*q(d). What is p in y(p) = 0?
2637
Let u(p) be the second derivative of -2/21*p**7 - 51*p**5 + 0*p**3 + 85*p + 0 + 0*p**2 - 62/15*p**6 - 75*p**4. Factor u(n).
-4*n**2*(n + 1)*(n + 15)**2
Let a(l) be the third derivative of 61/30*l**6 - 2/35*l**7 - 92/3*l**3 + 71/6*l**4 + 196*l**2 + 0*l + 0 + 181/15*l**5. Let a(u) = 0. Calculate u.
-2, -1, 1/3, 23
Let a(k) = 473*k**2 - 61*k + 20. Let r(h) be the third derivative of 157*h**5/60 - 5*h**4/6 + 7*h**3/6 - 4*h**2 + 3. Let n(d) = 6*a(d) - 17*r(d). Factor n(w).
(13*w - 1)**2
Let h be ((-2)/(-44))/(8/432) - (-12)/22. Determine i, given that -50*i**h + 50*i + 495/2*i**2 - 250 + 5/2*i**4 = 0.
-1, 1, 10
Let t(u) = u**2 - 2*u + 2. Let z(b) = 2*b**3 + 37*b**2 - 80*b + 44. Let v(x) = 3*t(x) - z(x). Factor v(d).
-2*(d - 1)**2*(d + 19)
Factor 1316928/7 + 681/7*u**3 - 3/7*u**4 - 51300/7*u**2 + 1264944/7*u.
-3*(u - 76)**3*(u + 1)/7
Suppose 124 = 14*d + 34*d + 14*d. Let s(z) be the second derivative of -3/140*z**5 + z + 0 + 1/14*z**4 - 1/14*z**3 + 0*z**d. Determine k so that s(k) = 0.
0, 1
Let h be 16277/(-5558) - (-3)/12*22. Find b such that 12/7*b - 2/7*b**2 - h = 0.
3
Let o = 30 + -15. Suppose -o*a = -13*a - 10. Solve 40*k**4 - 10*k**2 - 34*k**a - 150*k**3 + 145*k**3 + 9*k**5 = 0.
-2/5, 0, 1
Let p(x) be the first derivative of x**3/6 - 39*x**2/2 + 1521*x/2 - 2611. Factor p(k).
(k - 39)**2/2
Let v be (-6)/30 + 0 - (-28)/20. Let j(f) be the first derivative of 2/15*f**3 - v*f + 22 + 2/5*f**2. Factor j(k).
2*(k - 1)*(k + 3)/5
Let o(f) be the second derivative of -f**6/105 - 37*f**5/70 - 179*f**4/21 - 12*f**3 + 648*f**2/7 - 110*f + 5. Find i, given that o(i) = 0.
-18, -2, 1
Let h be (-25)/(-6) + (-7)/42. Suppose 6*s - h*s - 10 = 0. Find v, given that -5*v + 13*v + 2*v**3 - s*v**3 - 7*v**3 - 8 + 2*v**5 + 10*v**2 - 2*v**4 = 0.
-2, -1, 1, 2
Let t be (3/(-4) - (6 + (-834)/120))/1. Determine z so that 4/5*z**2 - 3/5*z**3 + 4/5*z + 0 - t*z**5 - 4/5*z**4 = 0.
-2, -1, 0, 1
Let z be ((-21 - 2808/(-243))*3)/(1 - 2). Find p, given that 80/3*p**2 + z*p + 25/3*p**3 + 10 = 0.
-6/5, -1
Let n(t) be the second derivative of -t**4/96 + 17*t**3/16 - 25*t**2/8 - 1223*t. Factor n(a).
-(a - 50)*(a - 1)/8
Let q(m) be the third derivative of -m**8/5040 + 2*m**7/21 - 20*m**6 + 31*m**5/12 - 15*m**2 - 1. Let x(h) be the third derivative of q(h). Factor x(i).
-4*(i - 60)**2
Factor -1/4*u**2 + 610 - 609/2*u.
-(u - 2)*(u + 1220)/4
Let l(h) = 14*h - 362. Let d be l(26). Suppose -27*v + v**4 + 64*v**d - 49*v**2 - 9*v**3 + 20*v = 0. What is v?
0, 1, 7
Let y(c) = 7*c. Let a(k) = -2*k**2 + 668*k. Let g(m) = -a(m) - 6*y(m). Factor g(h).
2*h*(h - 355)
Suppose -1/3*p**2 - 57121/3 + 478/3*p = 0. What is p?
239
Let b be (1 + 6/(-4))*0/4. Suppose b = 4*r - r - 12. Factor -11*c - 5*c + 17*c + 2*c**r - 2*c**2 - c**5.
-c*(c - 1)**3*(c + 1)
Let c(l) be the third derivative of -2*l**5/15 + 2269*l**4/6 + 1514*l**3 + 15*l**2 - 49*l. Solve c(a) = 0.
-1, 2271/2
Let n be -54*((-61)/(3721/(-122)) - 38/16). Solve n + 9/2*d + 1/4*d**2 = 0 for d.
-9
Let c be (-22 - 90/(-4)) + 1924/24. Factor 22/3*g + c + 1/6*g**2.
(g + 22)**2/6
Let g(q) = -27*q**2 - 28*q - 80. Let a be g(-9). Let c = a - -2017. Factor 3/2*u**4 + 0 + 3*u**3 - 12*u - 6*u**c.
3*u*(u - 2)*(u + 2)**2/2
Let i(v) = 3*v**2 + 28*v + 60. Let b be i(-6). Let o(x) be the first derivative of b*x - 13 + 0*x**3 + 0*x**2 + 1/18*x**4. Find w, given that o(w) = 0.
0
Let t(d) = 2*d**2 - 27*d. Let x(a) = 36*a**2 + 14100*a - 13395600. Let y(j) = 20*t(j) - x(j). Find z, given that y(z) = 0.
1830
Let v(w) be the first derivative of 0*w + 10*w**2 + 4/9*w**3 + 58. Suppose v(z) = 0. Calculate z.
-15, 0
Let b(t) = t**4 - 4*t**3 + 11*t - 21. Let g(l) = l**4 - 4*l**3 + 10*l - 22. Let q = -440 - -434. Let m(r) = q*b(r) + 5*g(r). Let m(s) = 0. What is s?
-2, 2
Let x be (16/6)/(-7*(-36)/378). Factor -2/11*o**x - 4/11*o + 4/11*o**3 + 2/11 + 0*o**2.
-2*(o - 1)**3*(o + 1)/11
Let d(j) be the third derivative of -j**5/270 - 19*j**4/27 - 25*j**3/9 + 1171*j**2. Let d(v) = 0. Calculate v.
-75, -1
Let d(r) be the second derivative of -3/4*r**2 + 0 - 1/32*r**4 + 33*r + 1/4*r**3. Factor d(l).
-3*(l - 2)**2/8
Suppose 4*k - z = -4*z + 53, k - 19 = 5*z. Suppose 2*d - 3*x = 0, -13*x + k*x = -3*d. Factor 3/2*m**2 + 3/8*m**3 - 5/8*m**4 + d + 1/2*m.
-m*(m - 2)*(m + 1)*(5*m + 2)/8
Let c(w) be the first derivative of -1/4*w**3 + 3*w - 1/2*w**2 + 1/16*w**4 - 94. Factor c(l).
(l - 3)*(l - 2)*(l + 2)/4
Let p(u) be the first derivative of -u**4/28 + 134*u**3/21 - 19*u**2/2 + 2804. Solve p(z) = 0.
0, 1, 133
Let d(z) be the first derivative of -z**7/105 + 7*z**6/240 + z**5/60 + 115*z**2/2 + 88. Let t(v) be the second derivative of d(v). Find o, given that t(o) = 0.
-1/4, 0, 2
Let x = 9953 + -9949. Let f(m) be the third derivative of 0*m**x + 25*m**2 - 1/252*m**8 + 0*m + 1/45*m**5 + 0 - 2/315*m**7 + 1/90*m**6 + 0*m**3. Factor f(w).
-4*w**2*(w - 1)*(w + 1)**2/3
Let j(o) be the first derivative of o**3/24 + 1137*o**2/16 - 3731. Factor j(z).
z*(z + 1137)/8
Let d be 19*((-3)/(-9) - (-8)/12). Let g(z) be the second derivative of d*z + 0 - 2/105*z**6 + 4/35*z**5 + 0*z**2 + 0*z**3 - 1/7*z**4. Factor g(x).
-4*x**2*(x - 3)*(x - 1)/7
Let k(d) = 30*d**2 - 18*d + 40. Let t(u) = 83*u**2 - 54*u + 120. Let q(b) = -11*k(b) + 4*t(b). Let q(g) = 0. What is g?
4, 5
Let m(z) be the third derivative of z**6/180 + 763*z**5/90 + 36670*z**4/9 + 144400*z**3/3 - 8139*z**2. Factor m(r).
2*(r + 3)*(r + 380)**2/3
Let c(d) be the first derivative of -7/18*d**4 - 2/9*d**5 - 2/9*d**3 - 59 - 1/27*d**6 + 0*d**2 + 0*d. Factor c(o).
-2*o**2*(o + 1)**2*(o + 3)/9
Let c be (23/((-1771)/(-198)))/((-40)/28 - -2). Let k(v) be the second derivative of -5*v**3 + c*v**2 + 1/10*v**6 - 9/10*v**5 + 3*v**4 + 0 - 20*v. Factor k(t).
3*(t - 3)*(t - 1)**3
Let a = 97 - 90. Suppose -3*y + 3*d = -a*y + 3, 4*y + 4*d = 0. Let -40 - 2*m + m**2 + y*m**2 + 6*m + 8*m = 0. What is m?
-5, 2
Let a(l) be the third derivative of -l**6/15 - 19*l**5/15 + 5*l**4/3 - 945*l**2. Suppose a(m) = 0. Calculate m.
-10, 0, 1/2
Let i(g) be the first derivative of 5*g**3/3 - 995*g**2/4 - 1515*g/2 + 6981. Solve i(r) = 0.
-3/2, 101
Suppose -15*h - 96 = -2*h - 434. Let f(p) be the first derivative of -14/3*p**3 + 16*p + h*p**2 - 1. Find x, given that f(x) = 0.
-2/7, 4
Let r(f) = 14*f**5 - 106*f**3 - 768*f**2 - 1396*f - 768. Let p(o) = o**5 - o**4 - o**2 + o. Let d(j) = -12*p(j) + r(j). Let d(g) = 0. What is g?
-8, -3, -2, -1, 8
Let v(g) be the third derivative of g**5/180 + 13*g**4/24 + 21*g**3 + g**2 - 12*g + 8. Solve v(d) = 0.
-21, -18
Let x = 619/6 + -13877/138. Let l = x - 208/115. Factor -4/5*m**2 + l*m + 8/5.
-4*(m - 2)*(m + 1)/5
Let c(b) be the first deriva