 + 0 + h*q**5 - x*q = 0 for q.
-1, -2/7, 0, 1
Let f(r) be the first derivative of -2*r**4 + 62*r**3/3 + 8*r**2 + 840. Find i, given that f(i) = 0.
-1/4, 0, 8
Let n be 8/(-25 + 33 + -6). Solve 0*m - 10/7*m**3 + 8/7*m**n + 4/7*m**2 + 0 - 2/7*m**5 = 0 for m.
0, 1, 2
Suppose 0*q = -u + 4*q - 18, -3*q + 15 = 0. Find y such that -2*y**u + 5*y**5 - 3*y**2 + 35*y**3 + 14 - 11 - 23 + 25*y**4 - 40*y = 0.
-2, -1, 1
Let -256/3*g + 0 + 4/3*g**4 - 1084/3*g**2 - 239/3*g**3 = 0. Calculate g.
-4, -1/4, 0, 64
Let p be 5*(-128)/400 + (-427)/(-70). Factor 19/4*y + 1/4*y**2 + p.
(y + 1)*(y + 18)/4
Suppose -5*y + 4*g + 676 = 0, 2*g + 4 = -4. Find q, given that -8821*q**2 + 36*q**3 + y*q + 8668*q**2 + 5 - 9 + 39*q**4 - 18*q**5 - 32 = 0.
-2, 2/3, 1, 3/2
Solve 1/10*t**2 + 40960 + 128*t = 0 for t.
-640
Factor 6 - 7*z + 4/3*z**3 - 7/3*z**2.
(z - 3)*(z + 2)*(4*z - 3)/3
Let w be (861/630 + (-4)/(-30))*-8. Let n(s) = s**2 - 9*s - 252. Let z be n(w). Suppose 1/5*f**5 + z*f + 0 - 11/5*f**4 - 5*f**2 + 7*f**3 = 0. What is f?
0, 1, 5
Suppose -75*s**2 - 30551 - 5*s**3 + 30551 - 270*s = 0. What is s?
-9, -6, 0
Let x(q) be the first derivative of -13*q**6/14 + 396*q**5/35 - 1347*q**4/28 + 638*q**3/7 - 522*q**2/7 + 120*q/7 + 86. What is p in x(p) = 0?
2/13, 1, 2, 5
Let o be 11/(-220)*-22 + (-3)/(30/(-4)). Let g(j) be the third derivative of -o*j**3 + 0*j + 0 - 13*j**2 + 1/20*j**5 + 1/4*j**4. Factor g(k).
3*(k - 1)*(k + 3)
Let h(a) be the third derivative of -a**7/420 + a**6/36 - 7*a**5/60 + a**4/4 - 5*a**3 - 54*a**2. Let f(o) be the first derivative of h(o). Factor f(l).
-2*(l - 3)*(l - 1)**2
Let p be 161/245 + 18/15 + -1. Let w be (-2)/((-5)/(-30)*-3)*1. Factor -p*j**3 + 3/7*j + 3/7*j**5 + 0 + 0*j**2 + 0*j**w.
3*j*(j - 1)**2*(j + 1)**2/7
Let -108*m - 221*m**2 - 4*m**3 + 424 - 205*m**2 + 366*m**2 + 548 = 0. What is m?
-9, 3
Suppose -4*f + 7 = 23. Let i(t) = 15*t**2 + 27*t - 33. Let h(o) = 7*o**2 + 13*o - 16. Let p(s) = f*i(s) + 9*h(s). Determine q so that p(q) = 0.
-4, 1
Let c(g) be the third derivative of 247*g**5/60 + 497*g**4/24 + g**3 + 2*g**2 - g + 59. Factor c(l).
(l + 2)*(247*l + 3)
Let t(y) be the third derivative of y**7/2415 - 7*y**6/690 - 18*y**5/115 + 405*y**4/46 - 3159*y**3/23 + 5*y**2 - 199. What is j in t(j) = 0?
-13, 9
Let q(x) be the second derivative of -x**4/3 + 22*x**3/3 + 84*x**2 + 606*x. Determine k, given that q(k) = 0.
-3, 14
Let -2/7*u**2 - 304/7 - 2738/21*u = 0. What is u?
-456, -1/3
Let g be 21 + -6 + 3 - 6. Let p(q) = q - 1. Let i(a) = -100*a**3 - 8*a + 12. Let x(l) = g*p(l) + i(l). Factor x(r).
-4*r*(5*r - 1)*(5*r + 1)
Let z(i) = -5*i**2 + 173*i + 576. Let d(w) = -10*w**2 + 345*w + 1155. Let s(f) = -2*d(f) + 5*z(f). Factor s(y).
-5*(y - 38)*(y + 3)
Let c(s) = 12*s**2 - 3*s. Suppose 53 = o + 52. Let l be c(o). Factor -3/4*g**4 - 39/4*g**2 + 9/2*g**3 + l*g - 3.
-3*(g - 2)**2*(g - 1)**2/4
Let r(b) be the third derivative of b**8/112 - 2*b**7/63 - 59*b**6/360 - 11*b**5/90 + b**4/9 + 891*b**2 + b. Solve r(s) = 0 for s.
-1, 0, 2/9, 4
Let b(o) be the third derivative of -38*o + 1/450*o**5 - 2/15*o**3 + 0 + 2*o**2 + 1/180*o**4. Factor b(x).
2*(x - 2)*(x + 3)/15
Let m(a) = 2*a**3 - 12*a**2 + 6*a + 6. Let b be m(5). Let x be (3/((-147)/b))/3. Factor 4/21*z - 2/21*z**2 - x*z**3 + 0.
-2*z*(z - 1)*(z + 2)/21
Let d(v) be the first derivative of -v**3/2 + 279*v**2/4 + 990. Factor d(x).
-3*x*(x - 93)/2
Let l(k) be the second derivative of -k**5/180 - 25*k**4/54 - 143*k**3/54 - 47*k**2/9 + 699*k. Determine t, given that l(t) = 0.
-47, -2, -1
Let t(a) be the second derivative of 1 - 3*a**2 + 9*a + 11/6*a**3 - 1/20*a**5 - 1/3*a**4. Factor t(j).
-(j - 1)**2*(j + 6)
Let v(y) be the first derivative of -8*y**5/35 - 3*y**4/7 + 12*y**3/7 + 16*y**2/7 - 48*y/7 + 1101. Let v(a) = 0. Calculate a.
-2, 1, 3/2
Let i(c) be the third derivative of -23*c**5/120 - 41*c**4/144 - c**3/6 - 522*c**2 - 2. Factor i(v).
-(3*v + 1)*(23*v + 6)/6
Let r = 335533/12 - 27961. Let d(x) be the first derivative of -3/4*x**2 + 5/4*x + r*x**3 + 23. Factor d(k).
(k - 5)*(k - 1)/4
Find a such that 69 + 47*a + 10*a + a**2 - 225*a - 36*a - 10*a**2 = 0.
-23, 1/3
Solve 3533*q - q**3 + 3535*q - 7067*q + 7*q**2 - 10 + 3*q**2 = 0.
-1, 1, 10
Let g(z) = 16*z - 109. Let i be g(7). Factor 1661*n + 613*n**3 - 123*n**2 - 610*n**i - 341*n - 1200.
3*(n - 20)**2*(n - 1)
Let j(q) be the second derivative of q**8/1680 + q**7/210 - q**6/180 - q**5/10 - 4*q**4 - 41*q. Let x(l) be the third derivative of j(l). Factor x(f).
4*(f - 1)*(f + 1)*(f + 3)
Let a(r) = -5*r**2 - 53*r. Let f(b) = -19*b**2 - 243*b. Let k(l) = -11*a(l) + 3*f(l). Determine s, given that k(s) = 0.
-73, 0
Suppose -12*a - 6 = -15*a. Factor a*r - 1 - 93*r**2 - 86*r**2 + 178*r**2.
-(r - 1)**2
Let t be 33/(-330)*275/154*32/(-20). Find z such that -2/7*z**3 + 0 + 0*z**2 + t*z = 0.
-1, 0, 1
Factor -824*j - 782*j + 5 - j**2 + 1602*j.
-(j - 1)*(j + 5)
Suppose 0 = -7*u - 2*u + 198. Let l be -9*u/1287*(-1 - 1). Find j such that 0 + l*j**2 + 6/13*j**5 - 4/13*j**4 - 8/13*j**3 + 2/13*j = 0.
-1, -1/3, 0, 1
Let z(h) = -h**2 - 34*h - 164. Let o be z(-28). Find i, given that 5*i + 46*i - 105*i**2 + 77*i**o + 57*i**3 - 80*i**4 = 0.
0, 1, 17
Find j, given that 20316/7*j - 6/7*j**2 - 17197494/7 = 0.
1693
Suppose 49*v**2 + 2010 - 37*v**3 + 102*v**3 + 131*v**2 + 1377*v - 32*v**3 - 36*v**3 = 0. What is v?
-5, -2, 67
Suppose 976 = 3*w - 899. Factor -148*a + 98*a + 2*a**2 + a**2 - w - 4*a**2.
-(a + 25)**2
Let h(i) be the second derivative of i**5/9 + 31*i**4/9 + 16*i**3/3 - 137*i**2 - 179*i. Let r(u) be the first derivative of h(u). Suppose r(f) = 0. What is f?
-12, -2/5
Suppose -5*m - 2*o - 19 = -74, 0 = 4*m - o - 44. Factor 2*v**4 - m*v**3 - 18*v**3 - 26*v**2 + 25*v**3 - 14*v - 6*v**3.
2*v*(v - 7)*(v + 1)**2
Let u(d) be the third derivative of -41*d**2 + 0*d**6 + 0*d**4 - 1/3360*d**8 + 0*d + 0*d**3 + 0*d**5 - 2 + 0*d**7. Let u(l) = 0. Calculate l.
0
Let b(f) be the first derivative of f**6/5 - 217*f**5/25 + 7*f**4/5 + 289*f**3/15 - 17*f**2/5 - 72*f/5 + 1530. Determine j so that b(j) = 0.
-1, -1/2, 2/3, 1, 36
Suppose -5*f - 175 = 1850. Let v be 2/(-9)*-12*f/(-270). What is b in -v*b - 1/4*b**5 + 2*b**4 + 0 + 8*b**2 - 6*b**3 = 0?
0, 2
Let d(b) be the third derivative of b**5/12 - 2825*b**4/8 + 4235*b**3/3 + 2*b**2 - 6*b - 169. Factor d(s).
5*(s - 1694)*(s - 1)
Suppose -h + 19*y = 14*y - 17, 4*h + 5*y = -7. Factor h*v**4 + 4*v**3 - v**3 - 20*v**2 + 5*v**3 - 30 - 56*v.
2*(v - 3)*(v + 1)**2*(v + 5)
Let l(d) be the first derivative of 0*d**3 + 0*d**2 + 31 + 5/6*d**4 + 22*d + 1/4*d**5. Let r(i) be the first derivative of l(i). Suppose r(p) = 0. Calculate p.
-2, 0
Let a(w) be the first derivative of w**8/840 - w**7/140 + w**6/90 - 13*w**3 - 76. Let r(y) be the third derivative of a(y). Solve r(d) = 0 for d.
0, 1, 2
Let m(v) be the first derivative of v**5/20 + 3*v**4/8 + 1270. Suppose m(q) = 0. Calculate q.
-6, 0
Find l such that 3/4*l**2 - 306 + 399/4*l = 0.
-136, 3
Factor 3*f**4 - 17*f + 16*f**3 + 183*f**2 + f**5 + 15*f**4 - 201*f**2.
f*(f - 1)*(f + 1)**2*(f + 17)
Let m be ((-288)/28)/((-60)/(-2240)). Let a = 389 + m. Determine o so that o**3 + 0*o + 5/7*o**4 + 3/7*o**2 + 0 + 1/7*o**a = 0.
-3, -1, 0
Let f(y) be the third derivative of -y**7/70 + y**6/8 + 3*y**5/5 - 19*y**4/2 + 40*y**3 - 2*y**2 + 10*y + 3. Find g, given that f(g) = 0.
-4, 2, 5
Let b = 24763/63220 - -105/12644. Let b*v**2 + 0 - 2/5*v = 0. What is v?
0, 1
Let b = -61 + 63. Suppose 9*s**2 - 22*s**2 + s + 0*s + 2*s**b + 10*s**2 = 0. What is s?
0, 1
Let y(l) be the first derivative of -l**4/12 - 113*l**3/3 + 1369*l**2/6 - 343*l + 10301. Factor y(p).
-(p - 3)*(p - 1)*(p + 343)/3
Factor -84 + c**3 - 691*c - 677*c + 24*c**2 + 1427*c.
(c - 1)*(c + 4)*(c + 21)
Suppose 7 - 9/2*t - 1/2*t**4 - 13/2*t**2 + 9/2*t**3 = 0. What is t?
-1, 1, 2, 7
Let d(g) be the first derivative of -2*g**5/5 + 192*g**4 - 1016*g**3 + 1520*g**2 + 14647. Factor d(b).
-2*b*(b - 380)*(b - 2)**2
Let m(u) be the third derivative of 1/6*u**3 + 0*u + 0 + 13/96*u**4 - 3*u**2 + 1/240*u**6 + 11/240*u**5. Factor m(k).
(k + 1)*(k + 4)*(2*k + 1)/4
Find m, given that -183/4*m**3 - 7/4*m**4 - 13/2*m**2 + 0*m + 0 = 0.
-26, -1/7, 0
Suppose 5*a - 8 = 3*a - 2*y, 3*a + y = 12. Let j(i) be the first derivative of 23 - 8/3*i**3 - a*i + 6*i**2. Find p, given that j(p) = 0.
1/2