s = -2*q + s + x, -5*s - 11 = -4*q. Determine r so that 0 + 0*r**2 - 10*r**3 + 5/2*r**5 + 0*r**q + 0*r = 0.
-2, 0, 2
Let j(i) be the second derivative of i**5/22 + 9*i**4/22 + 10*i**3/33 + 117*i - 2. Solve j(b) = 0.
-5, -2/5, 0
Let n be (2/(-5))/(-1*(-672)/(-350)). Let b(r) be the first derivative of -n*r**4 - 5/18*r**3 + 17 + 5/12*r**2 + 5/6*r. What is k in b(k) = 0?
-1, 1
Let i(w) be the second derivative of -13/4*w**3 - 21/2*w**2 + 1/8*w**4 + w + 54. Factor i(j).
3*(j - 14)*(j + 1)/2
Let v(j) be the second derivative of j**6/180 + j**5/40 - j**4/18 + 2*j + 323. Find i, given that v(i) = 0.
-4, 0, 1
Let n = -153385/2 - -76694. Factor 3/4*b**2 + 9/4*b + n.
3*(b + 1)*(b + 2)/4
What is u in -77/4*u + 249/2 - 1/4*u**2 = 0?
-83, 6
Let o(z) be the third derivative of z**8/756 + 2*z**7/189 - 29*z**6/270 - 37*z**5/135 + 14*z**4/27 + 64*z**3/27 - 703*z**2 + z. What is r in o(r) = 0?
-8, -1, 1, 4
Solve 167*d + 454*d - 760 + 135*d - 10*d**2 + 14*d**2 = 0 for d.
-190, 1
Let g(x) = x**2 + 65*x + 816. Let o be g(-17). Let a(m) be the first derivative of -5 - 5*m**2 + o*m - 25/3*m**3 - m**5 - 5*m**4. Let a(b) = 0. What is b?
-2, -1, 0
Let l(g) be the third derivative of g**7/42 + 17*g**6/12 + 38*g**5/3 + 515*g**4/12 + 145*g**3/2 + g**2 - 941. Determine w, given that l(w) = 0.
-29, -3, -1
Let y(z) be the third derivative of z**6/120 + z**5/30 - 11*z**4/24 - 2*z**3 + 1881*z**2. Solve y(l) = 0 for l.
-4, -1, 3
Let y(x) be the second derivative of 1/90*x**6 + 0 + 0*x**4 + 0*x**3 + 0*x**2 + 5*x - 1/5*x**5. Find a such that y(a) = 0.
0, 12
Let r = -1861 + 700. Let t = r - -1163. Solve -3 + 1/2*w**t - 5/2*w = 0.
-1, 6
Let w(l) = l**5 + 9*l**4 - 34*l**3 - 81*l**2 + 3*l + 3. Let i(g) = -3*g**5 - 28*g**4 + 97*g**3 + 242*g**2 - 8*g - 8. Let r(v) = -3*i(v) - 8*w(v). Factor r(b).
b**2*(b - 3)*(b + 2)*(b + 13)
Let y(w) be the first derivative of -2*w**3/39 - 667*w**2/13 - 2660*w/13 - 7460. Suppose y(x) = 0. Calculate x.
-665, -2
Let x(t) be the first derivative of 0*t**3 + 21 - 1/3*t**4 + 0*t + 11/2*t**2 - 1/30*t**6 + 1/5*t**5. Let z(j) be the second derivative of x(j). Factor z(m).
-4*m*(m - 2)*(m - 1)
Let u be ((-83772)/(-24165))/((-26)/(-20)). What is n in 0 - 2/21*n**2 - u*n = 0?
-28, 0
Let l(q) be the first derivative of q**5 + 10*q**4 + 35*q**3 + 45*q**2 + 87. Let l(r) = 0. What is r?
-3, -2, 0
Suppose 260*j = 238*j + 88. Suppose 0 = 5*h + 4*u, -4*u = j*h - h. Factor 0*b**2 - 5/2*b**3 + h + 0*b - 1/4*b**4.
-b**3*(b + 10)/4
Factor -183*y + 273800 + 1022*y - 717*y + 2*y**2 + 1358*y.
2*(y + 370)**2
Let n(d) = -d. Let u be n(5). Let p = 33 - u. Factor 24*m**2 + 2*m**3 - 35*m**5 + p*m**5 - 6*m**4 - 14*m**3.
3*m**2*(m - 2)**2*(m + 2)
Let c(y) = -y**3 - 6*y**2 + 4*y - 6. Let u be c(-4). Let h = -52 - u. Suppose -3*q - 2*q**h + 6 + q + 3*q - 5*q = 0. Calculate q.
-3, 1
Let w(t) be the third derivative of t**5/330 + 109*t**4/66 + 144*t**3/11 - 2*t**2 + 1329. Find a, given that w(a) = 0.
-216, -2
Let q = -227386/15 + 75942/5. Factor -28*m - q + 4/3*m**2.
4*(m - 22)*(m + 1)/3
Let a(j) be the first derivative of 3*j**5/5 - 21*j**4/2 + 69*j**3 - 210*j**2 + 300*j - 3685. Factor a(q).
3*(q - 5)**2*(q - 2)**2
Let q(p) be the third derivative of -p**5/570 - 113*p**4/6 - 242611*p**3/3 + 4143*p**2. Factor q(w).
-2*(w + 2147)**2/19
Find y such that 1064*y**2 + 125 - 221*y - 563*y - 246 + 125 + 1252*y**2 = 0.
1/193, 1/3
Let y = -7187 - -7187. Let o(h) be the second derivative of y - 1/6*h**4 + 1/3*h**3 - 2*h + 2*h**2. Determine u, given that o(u) = 0.
-1, 2
Suppose -6*n = 4*n - 40. Suppose -5*o - 2*w = -8, -n*o = -w - w - 10. Factor -2*k**5 + 4*k**3 - 17 - o*k + 29 - 12.
-2*k*(k - 1)**2*(k + 1)**2
Factor -1218/13*a**3 + 0 - 2/13*a**5 + 92/13*a**4 + 3528/13*a**2 + 0*a.
-2*a**2*(a - 21)**2*(a - 4)/13
Let j(l) = 19*l**2 - l - 2. Let v(y) = -134*y**2 + 32*y - 52. Let i(p) = 35*j(p) + 5*v(p). Factor i(b).
-5*(b - 22)*(b - 3)
Let l = 31140 + -31137. Solve -2/3*r**2 + 2/9*r**l + 8/9 + 0*r = 0 for r.
-1, 2
Let d(n) be the second derivative of -59/7*n**2 + 4/5*n**5 - 58*n + 0 + 176/21*n**3 + 1/105*n**6 - 29/7*n**4. Factor d(w).
2*(w - 1)**3*(w + 59)/7
Suppose 5*x - 4*x = -r - 82, 4*x - r + 333 = 0. Let v = x + 83. Let -1/2*j - j**5 + 11/4*j**2 - 21/4*j**3 + v + 4*j**4 = 0. What is j?
0, 1/2, 1, 2
Find r such that 5*r**4 + 105/2 + 535/4*r + 365/4*r**3 - 565/2*r**2 = 0.
-21, -1/4, 1, 2
Let x(d) be the first derivative of -d**6/27 - 46*d**5/9 + 58*d**4/9 - 8931. Factor x(j).
-2*j**3*(j - 1)*(j + 116)/9
Let v(i) be the third derivative of 0 + 15*i**2 + 1/20*i**5 - 3*i**3 + 0*i + 5/8*i**4. Factor v(l).
3*(l - 1)*(l + 6)
Suppose -8112569 + 944*u**2 + 988*u**2 - 2329881 - 7226*u - 1934*u**2 - 1914*u = 0. What is u?
-2285
Let z(q) be the third derivative of -2/3*q**3 + 0 - 11/108*q**4 + 0*q - 1/270*q**5 + 9*q**2. Find y, given that z(y) = 0.
-9, -2
Let v = 33609 - 33604. Let y(h) be the third derivative of 0*h**3 + 1/630*h**7 + 0 - 13*h**2 + 0*h**4 + 0*h + 0*h**v - 1/40*h**6. Solve y(i) = 0.
0, 9
Let y(u) be the first derivative of -u**3/8 + 93*u**2/8 + 333*u + 76. Solve y(d) = 0 for d.
-12, 74
Let -1/3*f**2 - 86/3 + 29*f = 0. What is f?
1, 86
Let x(d) = 279*d - 834. Let v be x(3). Let k(y) = y**2 + 5*y - 4. Let l be k(-6). Find r such that 33 - v*r**l - 38 - 3*r + 23 = 0.
-3, 2
Suppose r + 4 = -3*r. Let i be r/4 + 45/12. Factor 0 + 2*z - 9/2*z**3 - 6*z**2 + i*z**4.
z*(z - 2)*(z + 1)*(7*z - 2)/2
Let s = 2401 + -2401. Let b(p) be the first derivative of 0*p**2 + 3/5*p**5 + s*p + 17 + 15/7*p**4 - 9/14*p**6 + 4/7*p**3. Determine d, given that b(d) = 0.
-1, -2/9, 0, 2
Let s(c) be the second derivative of -c**6/180 + 21*c**5/10 - 7811*c**4/36 - 889*c**3 - 16129*c**2/12 + 1419*c. Factor s(y).
-(y - 127)**2*(y + 1)**2/6
Let x(h) be the second derivative of h**8/47040 - h**7/2520 - 29*h**4/3 - 87*h. Let p(n) be the third derivative of x(n). Factor p(z).
z**2*(z - 7)/7
Let k(b) be the first derivative of -5/16*b**4 + 1/4*b - 7/8*b**2 + 11/12*b**3 - 67. Factor k(w).
-(w - 1)**2*(5*w - 1)/4
Let q(j) = 14*j**2 - 2*j - 44 - j**3 - 21*j**2 - 16*j**2. Let k be q(-23). Find b such that 4*b**k - 12*b + 2*b - 25 - 5*b**2 = 0.
-5
Let i(u) be the third derivative of u**6/100 - 44*u**5/75 - 61*u**4/60 + 2*u**3 + 16*u**2 - 2*u - 27. Solve i(m) = 0.
-1, 1/3, 30
Factor 1221 + 15/2*p**2 - 6111/2*p.
3*(p - 407)*(5*p - 2)/2
Let m(t) = -13*t**2 - 2*t + 21. Let n(k) = -6*k**2 + 5*k. Let w(r) = -4*r**2 + 3*r. Let v(b) = -5*n(b) + 8*w(b). Let s(a) = -m(a) + 6*v(a). Factor s(i).
(i - 7)*(i + 3)
Let x(r) be the first derivative of r**5/240 + 7*r**4/48 + r**3 + 19*r**2/2 - r - 12. Let n(g) be the second derivative of x(g). Factor n(k).
(k + 2)*(k + 12)/4
Suppose 12*k - 104 = -14*k. Let u(m) = -1. Let r(q) = q**2 - 11*q - 8. Let w(d) = k*u(d) + r(d). Factor w(n).
(n - 12)*(n + 1)
Let -155*f**2 + 43/5*f**4 - 304/5 - 169/5*f**3 - 1/5*f**5 - 866/5*f = 0. What is f?
-1, 8, 38
Let w be 42/(-210)*(-24)/(792/55). Solve -25/3*t + 8 + w*t**2 = 0 for t.
1, 24
Let 22*a + 1255*a + 411*a**2 - 192*a**3 - 1188 - 3*a**4 - 305*a = 0. Calculate a.
-66, -2, 1, 3
Let w be (2 - 0)/(100/325). Let n = w + -2. Factor 15/2*k - 3 - n*k**3 + 6*k**2.
-3*(k - 2)*(k + 1)*(3*k - 1)/2
Let g = -17486 + 17488. Factor -13/7*v**g + v + 1/7*v**4 + 5/7*v**3 + 0.
v*(v - 1)**2*(v + 7)/7
Determine b, given that 2/3*b**2 - 8*b + 24 = 0.
6
Factor -2460 - 4*p**3 + 369*p + 1619*p - 193078*p**2 + 193554*p**2.
-4*(p - 123)*(p - 1)*(p + 5)
Let g(w) be the third derivative of 0 - 11*w**2 + 1/75*w**5 - 1/30*w**3 - 1/80*w**4 - 1/400*w**6 - 2*w. Factor g(p).
-(p - 2)*(p - 1)*(3*p + 1)/10
Suppose 358*q + s - 6 = 359*q, 5*q - 4*s = -22. Factor -36/5*l**3 + 6/5*l**4 + 78/5*l**q - 72/5*l + 24/5.
6*(l - 2)**2*(l - 1)**2/5
Let p(z) be the second derivative of z**6/30 - 6*z**5/5 - 5*z**4/2 + 64*z**3/3 - 75*z**2/2 - 2784*z. What is x in p(x) = 0?
-3, 1, 25
Let u(c) = -2*c - 11. Suppose 0 = -5*i - 5*j + 2 - 47, -3*j - 41 = 5*i. Let x be u(i). Solve 3/2*q**x + 9/4 - 1/4*q**4 - 3/2*q - 2*q**2 = 0 for q.
-1, 1, 3
Let z(n) be the first derivative of -18 + 1/80*n**5 - 10*n - 7/48*n**4 - 9/8*n**2 + 5/8*n**3. Let g(o) be the first derivative of z(o). Factor g(r).
(r - 3)**2*(r - 1)/4
Factor 2/3*a**3 + 2450*a + 48750 - 274/3*a**2.
2*(a - 75)**2*(a + 13)/3
Let q = 25801 + -386971/15. Let d(o) be the