 + 2*p**2 + 0. Let f(c) = 0. What is c?
-1/2, 1
Determine x so that 9038/9*x**4 + 84504672*x**2 - 2/3*x**5 - 506024032/9 - 249987968/9*x - 4539080/9*x**3 = 0.
-2/3, 1, 502
Let m(y) = y**2 + 4*y - 17. Let p(g) = -g**2 - 9*g - 4. Let a be p(0). Let v(i) = i**2 + 2*i - 18. Let w(f) = a*v(f) + 5*m(f). Determine s so that w(s) = 0.
-13, 1
Let o(h) = -16*h**4 + 138*h**3 - 1738*h**2 + 2841*h - 1315. Let z(t) = 2*t**4 - 20*t**3 + 248*t**2 - 406*t + 188. Let m(l) = 4*o(l) + 30*z(l). Factor m(n).
-4*(n - 5)*(n - 1)**2*(n + 19)
Let x(h) be the first derivative of 7/15*h**6 + 6/5*h**2 + 253 - 13/10*h**4 + 0*h - 38/25*h**5 + 38/15*h**3. Find l, given that x(l) = 0.
-1, -2/7, 0, 1, 3
Let h(j) be the third derivative of j**10/15120 - j**8/3360 - j**4/3 - 2*j**3/3 + 4*j**2. Let p(n) be the second derivative of h(n). Factor p(g).
2*g**3*(g - 1)*(g + 1)
Let s(w) be the third derivative of -w**6/900 - 23*w**5/225 + 19*w**4/36 - 16*w**3/15 + 1249*w**2. Let s(o) = 0. What is o?
-48, 1
Suppose 30*g = 27*g + 549. Determine x, given that -48*x**2 + g*x**2 - 6 + 72*x - 26 + 20 = 0.
-2/3, 2/15
Let n be (19517/58)/((-1)/(-1)). Let t = -332 + n. Factor 9/2 - 15/2*u - 33/2*u**2 - t*u**3.
-3*(u + 1)*(u + 3)*(3*u - 1)/2
Suppose -3523 + 3522 = g. Let n be (-171)/114*2/g. Suppose -24/5*k - n*k**2 + 12/5 = 0. What is k?
-2, 2/5
Suppose 0 = 3*s + 1 - 7. Suppose 10 = -5*r - 5*v, -3*r + 18 = s*r - 2*v. What is i in -475*i**r + 10 + 48*i + 472*i**2 - 189 - 13 = 0?
8
Let v be (-60)/(-2 - 44/(-16)). Let q be ((-1128)/v - 14) + 8226/140. Suppose q*p**3 + 24*p**4 + 16/7 + 356/7*p**2 + 128/7*p = 0. What is p?
-1, -2/3, -1/2, -2/7
Let j(k) = -3*k**3 - 417*k**2 - 14952*k + 49284. Let a(n) = -n**2 - 8*n. Let s(o) = -18*a(o) - j(o). Determine w so that s(w) = 0.
-74, 3
Let k(f) be the third derivative of -f**5/300 - 209*f**4/48 - 87*f**3/10 - 234*f**2 - 2. Factor k(m).
-(m + 522)*(2*m + 1)/10
Let 311*y - 3*y**2 - 498*y + 76*y - 210 = 0. Calculate y.
-35, -2
Let z be (-1 - (-190)/390)*(-90)/15. What is k in -z*k + 2/13*k**2 + 38/13 = 0?
1, 19
Let t(d) be the first derivative of 5*d**4/4 - 170*d**3/3 - 185*d**2/2 + 350*d + 6356. Solve t(s) = 0 for s.
-2, 1, 35
Let r(a) be the first derivative of 14/3*a**3 - 9/2*a**4 + 92 + 20*a**2 + 8*a. Factor r(o).
-2*(o - 2)*(o + 1)*(9*o + 2)
Let o(h) be the first derivative of -2*h**3/45 + 98*h/15 + 2114. Factor o(y).
-2*(y - 7)*(y + 7)/15
Suppose -m**3 + 1999*m**2 + 992*m + 887 - 1881*m**2 + 1129 = 0. What is m?
-4, 126
Suppose 0*j + 4*j + o = 12, 0 = -3*j - o + 10. Suppose -3*r = -w - 3*w - 10, 0 = j*r + 3*w - 1. Find k, given that 4*k**r + 5 - 14 - 2*k**4 + 7 = 0.
-1, 1
Suppose -108*j - 10206 - 2/7*j**2 = 0. What is j?
-189
Factor 10/3 - 3/2*c**4 + 1/6*c**5 + 25/6*c**2 + 8*c - 13/6*c**3.
(c - 10)*(c - 2)*(c + 1)**3/6
Let m(w) be the first derivative of -w**7/280 + w**6/60 + w**5/8 - 3*w**4/4 + w**3 + w**2/2 + 161. Let i(v) be the third derivative of m(v). Factor i(k).
-3*(k - 3)*(k - 1)*(k + 2)
Let r = -359 - -364. Suppose 20*n = r*n + 150. Factor -38/5*l**3 + 14/5*l**4 + n*l**2 - 2/5*l**5 - 32/5*l + 8/5.
-2*(l - 2)**2*(l - 1)**3/5
Let q = -572857 + 572859. Let l**4 + 1/9*l + 5/3*l**3 + 0 + 7/9*l**q = 0. What is l?
-1, -1/3, 0
Factor -726192 - 4/3*i**2 + 1968*i.
-4*(i - 738)**2/3
Let z(a) = -a**4 + 102*a**3 + 884*a**2 + 1367*a - 5. Let f(i) = -52*i**3 - 442*i**2 - 682*i + 2. Let l(r) = -5*f(r) - 2*z(r). Factor l(c).
2*c*(c + 2)*(c + 13)**2
Let t(l) be the third derivative of 0 + l + 1/450*l**5 + 0*l**3 + 7/180*l**4 + 4*l**2. Find z, given that t(z) = 0.
-7, 0
Let i(l) be the first derivative of -28*l**5/15 - 110*l**4/3 + 1220*l**3/9 + 200*l**2 - 144*l - 467. Suppose i(d) = 0. Calculate d.
-18, -1, 2/7, 3
Let l(q) = 10*q**2 + 4. Let d be l(-2). Suppose -4*f = -d + 28. Factor -213*c**2 + 0*c**3 - c**5 - 3*c**3 - f*c**4 + 212*c**2 + c**4.
-c**2*(c + 1)**3
Let a(b) = b**3 + b**2 - b. Let p(v) = -10*v**3 - 63*v**2 - 50*v - 8. Let x(u) = -4*a(u) + p(u). Factor x(h).
-(h + 4)*(2*h + 1)*(7*h + 2)
Let s(t) be the first derivative of -1/6*t**3 + 5/2*t**2 - 50 - 8*t. Factor s(r).
-(r - 8)*(r - 2)/2
Let a(p) = 0*p**2 + 3 - 5*p**2 + 4*p**2. Let h be a(0). Let s(n) = 7*n**2 - 6*n - 5. Let q(k) = -k**2. Let t(z) = h*s(z) + 24*q(z). Factor t(i).
-3*(i + 1)*(i + 5)
Factor -188*j - 264 - 4/3*j**3 - 112/3*j**2.
-4*(j + 3)**2*(j + 22)/3
Let 26640*g - 32393*g**3 + 32633*g**3 + 3*g**4 + 31633 + 5466*g**2 + 5330 = 0. What is g?
-37, -3
Factor -430*j - 9*j**2 - 550 + 565*j + 4*j**2.
-5*(j - 22)*(j - 5)
Suppose -15*n**3 + 129531*n**2 + 16 - 280*n - 128406*n**2 - 20*n**4 - 16 = 0. Calculate n.
-8, 0, 1/4, 7
Let -170/11*u - 2/11*u**2 - 1752/11 = 0. What is u?
-73, -12
Let c(z) be the second derivative of 0 + 2/3*z**2 - 20/63*z**7 + 1/9*z**3 + 31*z - 25/18*z**4 + 23/45*z**6 + 19/30*z**5. Suppose c(i) = 0. What is i?
-1, -1/4, 2/5, 1
Let i be ((-644)/(-140))/(60/238050). Find x, given that i + 207/2*x**2 - 4761/2*x - 3/2*x**3 = 0.
23
Suppose -2*z**2 - z**2 + 170*z**3 - 334*z**3 + 294 + 30 + 165*z**3 - 72*z = 0. What is z?
-9, 6
Factor -6/7*u**2 + 1080/7 - 36*u + 3/7*u**3.
3*(u - 6)**2*(u + 10)/7
Let m(i) = -84 + 25 + 73*i**2 - 19*i - 78*i**2. Let p(r) = -4*r**2 - 20*r - 58. Let d(h) = 2*m(h) - 3*p(h). Determine q so that d(q) = 0.
-7, -4
Let -200/3 + 265*i**3 + 5*i**5 + 970/3*i**2 + 220/3*i**4 + 60*i = 0. What is i?
-10, -2, -1, 1/3
Let g = -1598 + 2157. Let l = 563 - g. Factor 0 - 4/5*i**l + 1/5*i**2 - 3/5*i**3 + 0*i.
-i**2*(i + 1)*(4*i - 1)/5
Determine u so that -3/4*u**4 + 435/4*u**2 - 21/4*u - 108 + 21/4*u**3 = 0.
-9, -1, 1, 16
Suppose 0 = -3*n - 2*n + 25. Let n*y + y**2 + 6*y + 5 + 5*y - 10*y = 0. Calculate y.
-5, -1
Suppose 0 = -3*p - 53 + 569. Find c such that 10*c**4 - 5*c**4 + 170*c**3 + 1612*c**2 - p*c**2 - 170*c - 1445 = 0.
-17, -1, 1
Let i(g) be the third derivative of -151*g**2 + 0 + 13/120*g**4 + 0*g**3 + 0*g - 1/300*g**5. Let i(z) = 0. What is z?
0, 13
Let b be 695/345 - (-3 - -5). Let o = b - -65/276. Find g, given that o*g**5 + 1/4*g**2 - 1/4*g**4 - 3/4*g**3 + 0 + 1/2*g = 0.
-1, 0, 1, 2
Let w(j) be the second derivative of j**4/16 - 11*j**3/4 + 27*j**2 + 196*j + 1. Suppose w(c) = 0. Calculate c.
4, 18
Let n(g) = -2*g**3 + 2*g**2 - g + 1. Let k(p) = 9*p**3 - 39*p**2 - 50*p - 32. Let d(v) = -2*k(v) - 10*n(v). Factor d(c).
2*(c + 1)**2*(c + 27)
Suppose -4 = -4*y, 0*g = -2*g - 2*y + 8. Suppose -4*k + 914 = -2*m, 0 = -m - 2*m - g. Factor -11*n - 10*n**2 - 4*n**3 - 3*n**2 + k - 230.
-(n + 1)*(n + 2)*(4*n + 1)
Suppose 2*q - 8*w - 770 = -12*w, 5*q - 1865 = 2*w. Let -82*r**2 - r**4 - 2*r**4 - 600*r - 124*r**2 - 48*r**3 - q - 64*r**2 = 0. What is r?
-5, -1
Let t(o) = -o**2 - 2*o + 5. Let n be t(0). Suppose 3*u**2 + n*u**3 + 7*u**3 - 4*u - 5*u**3 = 0. What is u?
-1, 0, 4/7
Let b be 103255/27820 + -2 + 1 + (-7)/(-13). Solve -3*i**5 + 3/2*i - 16*i**3 - 83/4*i**4 + b*i**2 + 0 = 0 for i.
-6, -1, -1/4, 0, 1/3
Let l = 163 + 1135. Factor -30 - l*z**2 + 32*z + 647*z**2 + 649*z**2.
-2*(z - 15)*(z - 1)
Let m(q) = 3*q**3 + 13*q**2 - 37*q + 13. Let d(f) = -3*f**3 - 12*f**2 + 36*f - 9. Let a(y) = -2*d(y) - 3*m(y). Find n such that a(n) = 0.
-7, 1
Let p be -4 + 6 + (-252)/135. Let x(m) be the first derivative of 0*m + 4/3*m**2 - p*m**5 - 2/3*m**4 + 29 + 2/9*m**3. Factor x(l).
-2*l*(l - 1)*(l + 1)*(l + 4)/3
Let q(d) = d**2 - d - 30. Let g be q(-5). Let r(m) be the first derivative of g*m**2 - 4/3*m**3 + 4*m + 8. Solve r(v) = 0.
-1, 1
Suppose 30*v + 56 = 28*v. Let y be (-4)/v + -5 + (-2338)/(-441). Suppose 0*x + 4/9 - y*x**2 = 0. Calculate x.
-1, 1
Let r(p) be the third derivative of -p**7/70 + p**6/8 - 7*p**5/20 + 3*p**4/8 + 301*p**2. Find v, given that r(v) = 0.
0, 1, 3
Let w(q) be the first derivative of q**6/6 - 26*q**5/5 - 33*q**4 + 462*q**3 - 2349*q**2/2 + 4843. Suppose w(z) = 0. What is z?
-9, 0, 3, 29
Let i(v) be the third derivative of 0 + 0*v**4 + 0*v**3 - 1/80*v**6 - 1/140*v**7 + 0*v - 106*v**2 + 1/40*v**5 + 1/224*v**8. Solve i(w) = 0 for w.
-1, 0, 1
Determine x, given that -4*x**2 - 4067 - 1603 - 5628*x + 46 = 0.
-1406, -1
Let h = -15359/3 - -276463/54. Let m(b) be the second derivative of -36*b + 1/135*b**6 + 0*b**2 + 0 - 1/90*b**5 + 1/189*b**7 + 0*b**3 - h*b**4. Factor m(a).
2*a**2*(a - 1)*(a + 1)**2/9
Let y(j) be the second derivative of -11/30*j**5 + 1/24*j**6 - 7*j - 