at v(r) = 0.
-357, 0
Let w = 5/3056717 + 632015977051/12226868. Factor 15129/4*k + 3/4*k**3 + w + 369/4*k**2.
3*(k + 41)**3/4
Determine a so that -644/3 + 215*a - 1/3*a**2 = 0.
1, 644
Factor -2/15*x**2 - 97682/15 + 884/15*x.
-2*(x - 221)**2/15
Let t(p) = 4*p**2 - 2. Let x be t(1). Determine u so that -3*u**x + 73*u + 29*u + 469 + 6*u**2 + 398 = 0.
-17
What is v in 37/5*v**2 + 0 + 1369/10*v + 1/10*v**3 = 0?
-37, 0
Let i(c) be the first derivative of c**6/144 - c**5/30 + c**4/16 - c**3/18 + 27*c**2 - 109. Let n(b) be the second derivative of i(b). Factor n(t).
(t - 1)**2*(5*t - 2)/6
Let b be (-10 + 17 - 7)/(2/(-1)). Factor -5/4*l**4 - 5*l**2 + 2*l + 1/8*l**5 + 33/8*l**3 + b.
l*(l - 4)**2*(l - 1)**2/8
Let a be -14 - (2 + (-5610)/350). Let g(y) be the second derivative of 0*y**3 + 0 - a*y**5 + 0*y**2 + 6*y + 1/7*y**4. Factor g(s).
-4*s**2*(s - 3)/7
Let d(z) be the first derivative of 3*z**5/5 - 9*z**4 - 338*z**3 + 3366*z**2 + 104907*z - 2809. What is w in d(w) = 0?
-11, 17
Suppose -5*f + 4*f = -11. Suppose f = 2*y - 3*q, 15 - 1 = -y - 5*q. Find g, given that 0*g + 11 + 3*g**2 + y + 12*g = 0.
-2
What is w in -512/5 + 2/3*w**2 + 1268/15*w = 0?
-128, 6/5
Let l(x) be the third derivative of x**8/168 + 22*x**7/105 - x**6/10 - 14*x**5/3 - 179*x**4/12 - 22*x**3 + 147*x**2 + 2. Factor l(i).
2*(i - 3)*(i + 1)**3*(i + 22)
Let m(g) = -g**2 - 29*g + 52. Let w be m(-20). Let j be 15*(w/(-40) + 6). Factor 3/4*a**2 + 3/4*a**j - 3/4*a**5 - 3/4*a**4 + 0 + 0*a.
-3*a**2*(a - 1)*(a + 1)**2/4
Let o = 492 - 492. Suppose -12*j + 26*j - j = o. Factor -1/4*q**3 + j*q**2 + 0 + 1/4*q.
-q*(q - 1)*(q + 1)/4
Factor 2/3*n**2 - 832/3 - 412/3*n.
2*(n - 208)*(n + 2)/3
Factor -58/11*i**2 + 192/11*i - 2/11*i**3 + 0.
-2*i*(i - 3)*(i + 32)/11
Let a(t) = 12*t**2 + 10 + 7*t**3 - 4*t**2 - 8*t**2 - 6*t**2. Let s(b) = 6*b**3 - 5*b**2 - 2*b + 11. Let w(y) = -5*a(y) + 6*s(y). Factor w(x).
(x - 2)**2*(x + 4)
Let w be (3 - 114/(-10))/((-2)/25). Let q be (-1200)/w + 8/(-18). Factor 2/9*p**2 + 392/9 + q*p.
2*(p + 14)**2/9
Let f(c) = 16*c**2 - 1156*c + 6780. Let w(v) = 3*v**2 - 210*v + 1233. Let b(x) = 5*f(x) - 28*w(x). Factor b(a).
-4*(a - 13)*(a - 12)
Let y = -323 - -337. Factor 153*b - 20*b**4 - 70 - 9*b**3 - 42 - 25*b**2 + 4 + 23*b**4 - y*b**2.
3*(b - 3)**2*(b - 1)*(b + 4)
Suppose -16*s + 10 = -11*s. Let r = 0 + s. Factor 0*n**2 - 5*n**2 + 9*n**r - 4.
4*(n - 1)*(n + 1)
Factor 29*z**4 - 694*z - 820*z + 2803*z - 1412*z**3 + 832*z**2 - 9*z**4 - 729*z.
4*z*(z - 70)*(z - 1)*(5*z + 2)
Let o(j) be the second derivative of 11/15*j**4 - 2/25*j**6 + 2/105*j**7 + 8/5*j**2 + 12 - 8/5*j**3 - 2*j - 1/25*j**5. Let o(b) = 0. What is b?
-2, 1, 2
Let z = -109961113597/4386 - -25070933. Let f = 1/1462 - z. Factor 8/3*j**2 + 0*j**4 - 2*j**3 + 0 - j + f*j**5.
j*(j - 1)**3*(j + 3)/3
Suppose -626*h - 147*h + 573 = -973. Factor 6*s**h + 1/2*s**3 - 49 + 21/2*s.
(s - 2)*(s + 7)**2/2
Suppose -60 + 44 = -4*c. Suppose k + 4*n + 18 = 0, -n - 6 = -c*k + 7. Factor -9 - 3*b**k - 4 - 2 + 18*b.
-3*(b - 5)*(b - 1)
Let y be (-173)/(-7) + (-6)/(-21). Let o = y + -22. Factor -o - 3 - 4*i**3 - 4*i**5 + 6 + 8*i**4.
-4*i**3*(i - 1)**2
Let l be 4/(-38) + (-39 - 82473/(-2109)). Solve 2/3*j**4 - 2/3*j**2 - 14/3*j**3 + 14/3*j + l = 0.
-1, 0, 1, 7
Let v(l) = l**2 - 2*l - 3. Let u be v(3). Factor 72 - 76*d + d**2 + u*d - 6*d**2 + 9*d**2.
4*(d - 18)*(d - 1)
Let c(i) be the second derivative of -i**5/120 + i**4/48 + 5*i**3/2 - 3*i**2/2 + 192*i. Let g(n) be the first derivative of c(n). Factor g(f).
-(f - 6)*(f + 5)/2
Let i(j) be the first derivative of -j**6/4 + 207*j**5/40 + 57*j**4/4 - 177*j**3/4 - 111*j**2/4 + 855*j/8 - 4838. Let i(o) = 0. Calculate o.
-3, -1, 1, 5/4, 19
Suppose 27 + 357 = 3*c. Suppose -k = -9*k + c. Factor -20*n + 4*n**2 - k*n**2 + 9 - 1.
-4*(n + 2)*(3*n - 1)
Let 228/11 + 230/11*j + 2/11*j**2 = 0. What is j?
-114, -1
Determine w, given that -34*w**3 - 4/5*w**5 + 173/5*w**2 - 12*w + 0 + 61/5*w**4 = 0.
0, 1, 5/4, 12
Let h(z) be the second derivative of z**7/14 + 9*z**6/2 + 213*z**5/2 + 1085*z**4 + 2940*z**3 - 16464*z**2 - 5*z + 110. Solve h(x) = 0 for x.
-14, -4, 1
Let k(z) be the second derivative of 1/150*z**6 - 9/100*z**5 + 1 + 0*z**3 - 1/6*z**4 + 0*z**2 + 40*z. Determine h so that k(h) = 0.
-1, 0, 10
Let h = -323650 - -323650. Factor h - 24/7*w - 2/7*w**2.
-2*w*(w + 12)/7
Let g(f) be the third derivative of f**6/180 - 7*f**5/45 - 17*f**4/12 - 6684*f**2. Factor g(w).
2*w*(w - 17)*(w + 3)/3
Let l(a) = 9*a - 61. Let o be l(7). Let 867 + 3*y**o + 38*y + 21*y + 10*y + 33*y = 0. What is y?
-17
Let f(w) be the second derivative of 4/33*w**4 + 1/110*w**5 - 30/11*w**2 - 23/33*w**3 - 12 - w. What is h in f(h) = 0?
-10, -1, 3
Let a(w) be the third derivative of w**6/660 + 463*w**5/330 + 1631*w**4/4 + 1617*w**3 + 159*w**2. Find q, given that a(q) = 0.
-231, -1
Let s(x) be the second derivative of x**7/28 + 287*x**6/20 + 7881*x**5/5 + 7561*x**4 - 284*x**3 - 60492*x**2 + x - 4467. Find u such that s(u) = 0.
-142, -2, 1
Let b be ((-7135)/13)/(9*3/54). Let w = b - -1098. Let -2/13 - w*h - 2/13*h**2 = 0. What is h?
-1
Let h(t) be the third derivative of -37*t**2 + 0 + 0*t - 1/12*t**4 - 1/180*t**5 - 1/2*t**3. Factor h(l).
-(l + 3)**2/3
Let j(c) = 364*c**2 - 2181*c - 14. Let a be j(6). What is i in 2*i**a - 52/3*i**3 - 16*i + 104/3*i**2 + 0 = 0?
0, 2/3, 2, 6
Let c(b) = 13*b**2 + 6*b - 181. Let h(d) = -58*d**2 - 24*d + 721. Let f(r) = 9*c(r) + 2*h(r). Find t, given that f(t) = 0.
-17, 11
Let i = 197/4 + -49. Suppose 5*g - 80 = -4*m, 2*g - 4*m - 236 = -288. Solve -i*n**g + 0*n - 1/4*n**5 + n**3 + n**2 + 0 = 0 for n.
-2, -1, 0, 2
Let n(r) = -77*r**3 - r**2 + r + 1. Let d be n(1). Let q = 79 + d. Let 0 - 3*c**2 + 3/4*c**q + 3*c = 0. What is c?
0, 2
Let o(b) = -b**4 + b**2 - 7*b + 2. Let i(j) = -24*j**4 + 32*j**3 - 60*j**2 - 76*j + 40. Let f(v) = -i(v) + 20*o(v). Suppose f(y) = 0. What is y?
0, 2, 4
Let k = -457205 + 457207. Determine r, given that -18/7*r**3 + 16 - 2/7*r**4 + 124/7*r**k - 216/7*r = 0.
-14, 1, 2
Let x be (0 + 1)*-2*-1. Let j be (((-3)/5)/(-3) + 3390/(-2825))/(-2). Suppose -j*y**x - y + 0 = 0. Calculate y.
-2, 0
Suppose 9*j + 25 = 16. Let h(v) = 51*v**4 + 75*v**3 - 68*v**2 - 48*v - 6. Let k(y) = -y**4 + y**3 + y**2 - 2*y - 1. Let m(n) = j*h(n) - 2*k(n). Factor m(f).
-(f - 1)*(f + 2)*(7*f + 2)**2
Let w = 489/10 - 4381/90. Let p(g) be the first derivative of 0*g + 1/18*g**4 - w*g**2 + 29 - 2/27*g**3. Factor p(q).
2*q*(q - 2)*(q + 1)/9
Suppose 4 = 6*d - 8. Let -23*y**d + 5*y + 53*y**2 - 29*y**2 = 0. What is y?
-5, 0
Let n(k) be the first derivative of -k**5/4 + 35*k**4/12 - 55*k**3/6 + 25*k**2/2 + 106*k + 7. Let v(o) be the first derivative of n(o). Factor v(q).
-5*(q - 5)*(q - 1)**2
Suppose -24*u**2 - 68/3*u + 0 - 4/3*u**3 = 0. Calculate u.
-17, -1, 0
Let p be (-44)/(3 + -7)*-1 + 2. Let v(o) = o + 13. Let b be v(p). Suppose 21*h + 15*h**2 + 0*h - 12*h**3 - 10 + b = 0. Calculate h.
-1, 1/4, 2
Let y(n) be the third derivative of 9*n**8/448 + 15*n**7/56 - 13*n**6/32 - 19*n**5/16 + 5*n**4/4 + 9*n**3/2 + 2007*n**2 - n + 1. Suppose y(b) = 0. Calculate b.
-9, -2/3, 1
Let y(v) be the third derivative of v**7/70 - 3*v**6/20 - 3*v**5/20 + 7*v**4 - 24*v**3 + 2*v**2 - 910. Factor y(d).
3*(d - 4)**2*(d - 1)*(d + 3)
Suppose 66*r + 216 - 3/2*r**3 - 24*r**2 = 0. Calculate r.
-18, -2, 4
Let c(y) be the third derivative of -y**8/13440 - y**7/336 - y**6/30 + 11*y**5/30 + 35*y**2. Let x(g) be the third derivative of c(g). Factor x(i).
-3*(i + 2)*(i + 8)/2
Let f(s) be the second derivative of s**6/10 - 63*s**5/10 - 7*s**4/4 + 150*s**3 - 378*s**2 + 4394*s. What is q in f(q) = 0?
-3, 1, 2, 42
Let p(x) = 4*x**4 - 42*x**3 - 456*x**2 + 5*x. Let g(c) = 4*c**4 - 40*c**3 - 456*c**2 + 6*c. Let o(k) = -5*g(k) + 6*p(k). Determine f so that o(f) = 0.
-6, 0, 19
Let j(x) be the third derivative of x**5/15 + 22*x**4/3 - 30*x**3 - 14*x**2 - x. Factor j(s).
4*(s - 1)*(s + 45)
Factor 3*v**3 - 3731*v + 4674 - 3752*v + 5140*v - 2334*v**2.
3*(v - 779)*(v - 1)*(v + 2)
Let w(u) be the third derivative of -u**5/210 - u**4/56 + 3*u**3/14 + 2598*u**2. Suppose w(s) = 0. What is s?
-3, 3/2
Let r(g) be the third derivative of g**5/70 - 379*g**4/84 - 254*g**3/21 + 2*g**2 - 549. Find s, given that r(s) = 0.
-2/3, 127
Let w = 491 + -259. Factor 6*b + 116*b**2 - 6*b**3 - w*b**