derivative of x(g). Factor l(d).
(d + 1)*(d + 5)/3
Let x be (9 - (5 - 0))*(-2)/(-4). Suppose -21*m**2 - 17*m**2 + 27*m + 6*m**2 - m**4 + 61*m**x - 28 - 27*m**3 = 0. What is m?
-28, -1, 1
Let l(p) be the second derivative of -p**5/110 - 17*p**4/33 - 1836*p. Find j, given that l(j) = 0.
-34, 0
Let a be (-2010)/(-10050) + (-2534)/(-130). Factor a*o**2 + 8192/13*o + 2/13*o**3 + 0.
2*o*(o + 64)**2/13
Let o(w) = 59*w**3 + 18*w + 17. Let i be o(-1). Let h be (24/i)/(((-138)/(-10))/(-3)). Suppose 2/23*a**3 + h*a**2 + 0*a + 0 = 0. What is a?
-1, 0
Let k(w) = -w**3 - w**2 - 2*w - 12. Let h(n) = n**4 - 732*n**3 - 2966*n**2 - 3705*n - 1382. Let l(x) = -4*h(x) - 36*k(x). Let l(o) = 0. Calculate o.
-2, -1, 745
Let m(l) be the first derivative of -3*l**4/8 - 49*l**3 - 1725*l**2 + 7500*l + 10981. Factor m(q).
-3*(q - 2)*(q + 50)**2/2
Let i(t) be the first derivative of -t**6/21 + 2*t**5/7 - 2*t**4/7 + 2235. Determine p, given that i(p) = 0.
0, 1, 4
Suppose 0 = 5*q - 234 + 354. Let r be (-7)/21 + -2*4/q. Factor 1/3*g + r + 1/3*g**2.
g*(g + 1)/3
Suppose 8*p - 120 = 8. Let f = p + 0. Let 4*v - f + 11*v**2 - 7*v**2 + 4*v**2 - 4*v**3 + 8*v**2 = 0. Calculate v.
-1, 1, 4
Suppose -4*m + 2*i = -50, 3 = -3*i - 0*i. Let 0*c**5 - 5*c**5 + 3*c**5 + m*c**3 - 2*c**5 - 8*c**2 = 0. What is c?
-2, 0, 1
Let 478/3*v**4 + 56*v**5 - 18 - 95*v + 97/3*v**3 - 404/3*v**2 = 0. What is v?
-9/4, -2/3, -1/2, -3/7, 1
Let p(c) be the third derivative of -481/8*c**4 + 77/60*c**5 + 0*c + 3 - 507/2*c**3 - 28*c**2 - 1/120*c**6. Let p(u) = 0. Calculate u.
-1, 39
Suppose 56 = -9*a + 101. Determine l, given that -246*l**2 - 80*l + 297*l + 24 - 13*l - 2028*l**a + 5460*l**4 - 2739*l**3 = 0.
-2/13, 1/2, 2
Let l be -5 - -5 - (-7)/((-21)/18). Let q be 4 + l + (-3)/(-1). Find m such that -q + 8*m**2 + 15*m**2 + 2*m - 24*m**2 = 0.
1
Determine b so that 14764*b**4 - 135*b**2 - 34*b**3 - 196 - 350*b - 14766*b**4 - 51*b**2 = 0.
-7, -2, -1
Let s(u) be the first derivative of -2*u**3/15 - 722*u**2/5 - 260642*u/5 + 327. Factor s(v).
-2*(v + 361)**2/5
Let f(l) be the third derivative of l**8/1848 - 16*l**7/1155 + 7*l**6/132 + 26*l**5/165 - 43*l**2 + 32*l. Determine o so that f(o) = 0.
-1, 0, 4, 13
Let o(y) be the third derivative of -1 + 1/252*y**8 - 1/60*y**6 - 1/105*y**7 + 0*y**4 - 4*y**2 + 0*y**3 + 0*y + 1/45*y**5. Find a, given that o(a) = 0.
-1, 0, 1/2, 2
Let y = 8782 - 8782. Let o(r) be the third derivative of 0*r + y + 0*r**4 - 1/180*r**5 + 0*r**3 + 14*r**2. Let o(v) = 0. Calculate v.
0
Let p(i) be the first derivative of 5*i**3/3 - 35*i**2/2 - 2*i - 6. Let z(b) = -51*b**2 + 348*b + 21. Let y(o) = 21*p(o) + 2*z(o). Factor y(j).
3*j*(j - 13)
Let d(b) = 28*b**2 + 142*b + 40. Let u(t) = t**2 + 25*t - 1. Let m be u(-25). Let k(i) = 2*i. Let h(g) = m*d(g) - 3*k(g). Suppose h(x) = 0. What is x?
-5, -2/7
Let v = 1200/161 - 3102/805. Let g(j) = -j**2 + 4*j + 1. Let i be g(3). Suppose -58/5*f**3 + 6/5*f**2 - 4/5 - 42/5*f**i + v*f = 0. Calculate f.
-1, 2/7, 1/3
Let k(f) = 8*f**2 + 6*f. Let s(o) = 41*o**2 + 116*o - 87. Let r(m) = 10*k(m) - 2*s(m). Factor r(i).
-2*(i - 1)*(i + 87)
Factor -2/3*y**2 - 11*y + 30 + 1/3*y**3.
(y - 5)*(y - 3)*(y + 6)/3
Suppose -40*s**2 + 231*s**5 - 454*s**5 + 218*s**5 - 2*s**3 + 15*s + 32*s**3 = 0. What is s?
-3, 0, 1
Let j(d) be the third derivative of -d**7/42 - 137*d**6/24 - 2193*d**5/4 - 619415*d**4/24 - 1590140*d**3/3 - 329*d**2. Determine r, given that j(r) = 0.
-43, -8
Let d be ((-18)/(-81))/(37/(13320/32)). Factor -1/2*g**2 + d*g + 0.
-g*(g - 5)/2
Let l(w) be the second derivative of -w**7/112 + 17*w**6/20 - 24*w**5 + 128*w**4 + 5601*w. Suppose l(g) = 0. Calculate g.
0, 4, 32
Solve 0*y + 91/4*y**3 + 23/2*y**2 + 0 + 11*y**4 - 1/4*y**5 = 0.
-1, 0, 46
Let l be (-12)/10*1/56*-7. Let b(o) be the second derivative of 3*o**2 + 12*o + l*o**5 + 0 + 0*o**4 - 3/2*o**3. Determine h so that b(h) = 0.
-2, 1
Let s = -103386 + 103386. Factor 2/5*c**2 + 12/5*c + s.
2*c*(c + 6)/5
Let k(f) be the third derivative of -f**8/504 - f**7/70 - f**6/40 + f**5/180 + f**4/24 - 130*f**2 - 2. Determine i, given that k(i) = 0.
-3, -1, 0, 1/2
Let c(s) be the third derivative of 0*s - 8/3*s**3 + 1/4*s**5 + 2 - 1/3*s**4 + 3*s**2 + 1/15*s**6 + 1/210*s**7. Factor c(t).
(t - 1)*(t + 1)*(t + 4)**2
Let d(k) be the third derivative of k**8/1512 + k**7/945 - k**6/540 - k**5/270 + 198*k**2. Factor d(b).
2*b**2*(b - 1)*(b + 1)**2/9
Let c(u) = 5*u**3 - 13*u**2 - 17*u - 23. Let q(x) = -x**3 + 3*x**2 + 2. Let z(o) = c(o) + 4*q(o). Determine j so that z(j) = 0.
-3, -1, 5
Let k(n) be the third derivative of -2/735*n**7 - 1/42*n**4 - 11/840*n**6 + 0 + 4/105*n**5 + 0*n + 0*n**3 - 280*n**2 + 1/784*n**8. Suppose k(w) = 0. What is w?
-2, 0, 1/3, 1, 2
Let a(v) be the second derivative of -v**9/113400 - v**8/16800 + v**7/4725 - 21*v**4 + 2*v - 22. Let u(t) be the third derivative of a(t). Factor u(n).
-2*n**2*(n - 1)*(n + 4)/15
Let p(x) be the second derivative of x**6/150 - 67*x**5/50 + 1583*x**4/20 - 1742*x**3/3 + 1690*x**2 + 12*x - 45. Determine v, given that p(v) = 0.
2, 65
Let w(q) = 77*q**3 - 293*q**2 - 270*q + 79. Let h(x) = 39*x**3 - 146*x**2 - 135*x + 38. Let y(v) = 7*h(v) - 4*w(v). Find k such that y(k) = 0.
-1, 2/7, 5
Let j(w) be the second derivative of -1/28*w**5 + 4/21*w**3 + 0 + 1/84*w**4 - 1/210*w**6 + 1/294*w**7 + 2/7*w**2 + 28*w. Let j(h) = 0. Calculate h.
-1, 2
Let x(i) be the second derivative of 1/45*i**6 - 1/30*i**5 + 0 + 0*i**2 + 9*i + 1/63*i**7 + 0*i**3 - 1/18*i**4. Let x(a) = 0. What is a?
-1, 0, 1
Let r = 2850/13 + 5549/65. Let b = r + -304. Factor 6/5*j**2 - 3/5*j**3 - b*j**4 + 0 + 0*j.
-3*j**2*(j - 1)*(j + 2)/5
Factor 282*o**2 - 2531/3*o - 1/3*o**3 + 562.
-(o - 843)*(o - 2)*(o - 1)/3
Factor 247 + 5*p**2 - 1470*p + 4727 - 609.
5*(p - 291)*(p - 3)
Suppose -3018 + 1082 = -8*z. Determine h, given that z - 27*h**2 - 523 + 260 + 0*h**3 - 3*h**3 - 45*h = 0.
-7, -1
Find c, given that -68/7*c - 2/7*c**2 - 578/7 = 0.
-17
Let c(w) be the second derivative of -w**5/80 - 17*w**4/24 - 81*w**3/8 - 225*w**2/4 - 827*w. Let c(s) = 0. What is s?
-25, -6, -3
Let r(g) be the first derivative of -g**6/6 - g**5/2 + 5*g**4/3 + 20*g**3/3 - 67*g - 67. Let b(x) be the first derivative of r(x). Find w such that b(w) = 0.
-2, 0, 2
Let d = -358 + 361. Determine q so that -2*q**3 - 21*q**2 - 60 + 5*q**d + q**3 - 6*q**3 + 84*q - q**3 = 0.
-10, 1, 2
Factor -2298205*j - 3885087*j**3 - 6415740*j**2 - 504691 - 143309 - 1233395*j.
-3*(109*j + 60)**3
Let z(s) be the first derivative of -2/21*s**3 + 0*s + 131 + 12/7*s**2. Factor z(t).
-2*t*(t - 12)/7
Let s(y) be the third derivative of 23*y + 0 + 3*y**2 + 13/60*y**4 - 1/300*y**5 - 5/6*y**3. Let s(f) = 0. Calculate f.
1, 25
Suppose -3*p = -3*b - 141, 4*p - 3*p - 2*b = 49. Suppose -p - 19 = -4*o. Solve 839 - 4*s**2 + o*s**2 - 839 + 2*s**5 - 14*s**3 = 0.
-3, 0, 1, 2
Let s(z) = -z - 1. Let f(o) = o**2 + 43*o - 26. Let x(i) = -i**2 + 29*i + 78. Let w be x(32). Let y(n) = w*s(n) - 2*f(n). Let y(v) = 0. What is v?
-35, 1
Let z(m) be the first derivative of -1/10*m**5 - 1/24*m**6 + 0*m - 1/2*m**2 + 106 + 3/16*m**4 + 1/3*m**3. Factor z(q).
-q*(q - 1)**2*(q + 2)**2/4
Suppose -1852*g = 284*g - 2394456. Factor -g*m + 3481/3 - 39*m**2 - 1/3*m**3.
-(m - 1)*(m + 59)**2/3
Let s(a) = -a**5 + a**4 + 2*a**2 - 1. Let d(n) = -44*n**5 - 208*n**4 + 816*n**3 + 16*n**2 - 824*n + 296. Let m(x) = -d(x) + 52*s(x). Let m(y) = 0. Calculate y.
-1, 1/2, 1, 3, 29
Let n(o) be the first derivative of 6*o**2 - 200 + 8/3*o**3 + 0*o - o**4. Find f, given that n(f) = 0.
-1, 0, 3
Let h be 0*(1/(-8))/(4/16). Suppose 3*a + 13*s = 9*s + 64, h = -a - 2*s + 20. Suppose -a + 8*w - 2/3*w**2 = 0. Calculate w.
6
Let p(q) be the third derivative of -q**5/570 - 227*q**4/114 - 51529*q**3/57 - 1062*q**2. Let p(u) = 0. Calculate u.
-227
Let p(d) be the first derivative of 0*d - 156 + 5*d**2 + 1/4*d**4 - 11/3*d**3. Factor p(v).
v*(v - 10)*(v - 1)
Let r(h) be the first derivative of -h**5/40 + 19*h**4/32 - 25*h**3/12 + 2*h**2 - 3391. Factor r(u).
-u*(u - 16)*(u - 2)*(u - 1)/8
Let l(h) = 28*h**3 + 148*h**2 + 149*h + 32. Let k be 48/(-22) + 2 - 72/(-33). Suppose 0 = k*i + 3 - 9. Let t(o) = -o. Let q(v) = i*t(v) - l(v). Factor q(c).
-4*(c + 1)*(c + 4)*(7*c + 2)
Suppose -11*o + 136 = -7*o. Determine m, given that 174*m**3 + 3*m**5 + o + 255*m + 318*