et q(v) = 3*v**3 + 32*v**2 - 64*v - 18. Let z(h) = -28*h**3 - 286*h**2 + 576*h + 164. Let c(d) = l*q(d) - 6*z(d). What is k in c(k) = 0?
-6, -1/3, 2
Suppose 3*o + 28 = u, 0 = -o - 2*o - u - 32. Let m = 12 + o. Factor -5*w + 0*w**2 + 3*w**2 + 24 - 7*w**m + w.
-4*(w - 2)*(w + 3)
Let u = 107 - 104. Factor 19*x**3 + 3*x**5 + 6*x**2 - 11*x**u - 17*x**3.
3*x**2*(x - 1)**2*(x + 2)
Let x(q) be the first derivative of -1309*q**3 + 3933*q**2/2 - 6*q - 724. What is f in x(f) = 0?
2/1309, 1
Let w(h) = h**2 + 17*h + 79. Let x be w(-13). Factor -x - 36 - 3*d**2 + 58 - 24*d - 16.
-3*(d + 1)*(d + 7)
Let x(w) be the second derivative of -6*w**7/7 + 563*w**6/70 - 1023*w**5/35 + 348*w**4/7 - 248*w**3/7 + 24*w**2/7 - 1456*w - 2. Solve x(o) = 0.
1/28, 2/3, 2
Let w(h) = 1 - h**3 - 6*h**3 + 10*h**3 - h. Let v be w(1). Determine g, given that 7*g + 5*g**v - g + 10 - 10*g**2 - 11*g = 0.
-1, 1, 2
Let p = -655 + 764. Suppose -3*z - 2*v + 8 = 0, -105*v - 12 = -5*z - p*v. Suppose 0 - 9/2*d**3 - 3/2*d**5 - 6*d**z + 6*d + 6*d**2 = 0. What is d?
-2, -1, 0, 1
Suppose l + 247 = 2*w, 3*w - 4674*l + 4676*l = 381. Suppose -w - 10*j - 1/5*j**2 = 0. Calculate j.
-25
Let c(k) be the first derivative of -k**6/120 + k**5/60 + 7*k**4/4 + 22*k**2 - k + 127. Let y(z) be the second derivative of c(z). Determine a so that y(a) = 0.
-6, 0, 7
Let b(a) be the third derivative of 29*a**7/70 + 143*a**6/40 - a**5/2 - 1172*a**2. Solve b(m) = 0 for m.
-5, 0, 2/29
Suppose 2*n = -4*d + 1033 - 1045, 4*n + 5*d + 15 = 0. Let t(g) be the second derivative of -5/12*g**4 + n*g**2 - 17*g + 5/3*g**3 + 0. Factor t(m).
-5*m*(m - 2)
Let u(n) = 109*n + 11*n**2 + 26*n - n**2. Let i(y) = -y**2 - 15*y. Let g(x) = -35*i(x) - 4*u(x). Let g(m) = 0. Calculate m.
-3, 0
Let u(v) be the third derivative of v**6/240 + 31*v**5/60 + 665*v**4/48 - 2450*v**3/3 + 29*v**2 + 5. Factor u(c).
(c - 8)*(c + 35)**2/2
Let t(q) be the second derivative of -q**6/1440 - q**5/60 - 5*q**4/32 - 37*q**3/6 - q**2/2 - 3*q + 49. Let o(x) be the second derivative of t(x). Factor o(r).
-(r + 3)*(r + 5)/4
Factor -43*h + 4*h**3 + 26*h + 11*h**2 + 17*h + 13*h**2.
4*h**2*(h + 6)
Let x = -47409/4 + 11911. Let b = -1159/20 + x. Factor 0*k + 0 - b*k**3 + 2/5*k**4 + 0*k**2 + 2/5*k**5.
2*k**3*(k - 1)*(k + 2)/5
Let h(s) = 11*s**3 - 333*s**2 - 539*s + 759. Let g(o) = -2*o**3 + 56*o**2 + 90*o - 126. Let b(z) = 17*g(z) + 3*h(z). Determine p, given that b(p) = 0.
-45, -3, 1
Let h(g) = g**2 - 15*g + 2. Let c be h(15). Let n be (-8)/(-3)*((-1)/14)/(268/(-3618)). Factor n*v**c + 3/7*v**3 + 33/7*v + 18/7.
3*(v + 1)*(v + 2)*(v + 3)/7
Let g = 668 - 671. Let l be g/(42/(-4)) - 1183/(-2548). Factor -9/8*w + 3/8*w**2 + l.
3*(w - 2)*(w - 1)/8
Let d be (4/(-3))/(((-1012)/(-99))/(-23)). Let r(z) be the first derivative of -6*z**2 + 11*z**d + 22 - 12*z - 27/5*z**5 + 9/2*z**4. Factor r(b).
-3*(b - 1)**2*(3*b + 2)**2
Let t = -41 - -43. Suppose -3*c - t*c = 2*h + 1, 4*h - 6 = -2*c. Solve 21*j**5 - 21*j - 5*j**5 - 92*j**3 + 12 + 4*j + 132*j**h - 51*j = 0 for j.
-3, 1/2, 1
What is k in 0 + 374*k**2 - 2/3*k**3 + 0*k = 0?
0, 561
Let g(u) = 9*u**4 - 4*u**3 - 44*u**2 + 25*u. Let x(i) = -4*i**4 + i**3 + 22*i**2 - 13*i. Let z(m) = -6*g(m) - 14*x(m). Suppose z(k) = 0. Calculate k.
-8, 0, 1, 2
Let a(y) = 6*y**3 + 159*y**2 + 762*y + 9. Let b(q) = -7*q**3 - 156*q**2 - 761*q - 12. Let w(o) = -4*a(o) - 3*b(o). Find s such that w(s) = 0.
-51, -5, 0
Let t(q) = -2*q**3 + 17*q**2 + 16*q - 13. Let x(v) = -v**3 + 8*v**2 + 8*v - 6. Let n = 423 - 417. Let l(p) = n*t(p) - 13*x(p). Factor l(s).
s*(s - 4)*(s + 2)
Let p(t) = t + 10. Let l be p(-7). Let u = 122 + -122. What is r in 5*r**l + u*r**2 - 9*r**3 + 4*r**2 + 8*r**3 = 0?
-1, 0
Let o(l) be the second derivative of -3*l**4/16 - 2501*l**3/12 + 139*l**2 + 3292*l + 2. Solve o(y) = 0 for y.
-556, 2/9
Determine d so that -150*d**2 + 580 - 907 + 327 - 2*d**4 - 65*d**3 - 3*d**4 = 0.
-10, -3, 0
Let b = 85/26 + -3001/234. Let f = 10 + b. Factor 2/9*a**3 - f - 8/9*a + 1/9*a**4 - 1/3*a**2.
(a - 2)*(a + 1)**2*(a + 2)/9
Let o = -126642 + 126647. Suppose -18 - 27/8*n**4 + 3/8*n**o - 21*n + 57/8*n**3 + 63/8*n**2 = 0. Calculate n.
-1, 3, 4
Let s(y) be the first derivative of -65*y**6/6 - 102*y**5 - 305*y**4 - 280*y**3 + 80*y**2 + 4113. Determine a so that s(a) = 0.
-4, -2, 0, 2/13
Suppose 0 = -2*v - 19*o + 21*o - 2, 4 = -5*v + 4*o. Let a = 121 - 116. Solve 0*r**4 + 2/11*r**3 + 0 + 0*r**2 - 2/11*r**a + v*r = 0.
-1, 0, 1
Let d(b) be the third derivative of -b**8/560 + b**7/350 + 3*b**6/100 - 7*b**5/50 + 11*b**4/40 - 3*b**3/10 + 14*b**2 + 5. Factor d(m).
-3*(m - 1)**4*(m + 3)/5
Solve -1079/3*q + 90 - 4/3*q**2 = 0 for q.
-270, 1/4
Let u(i) = 2*i**2 - 46*i - 2698. Let g be u(-27). Determine j, given that -j + 0 + 5/2*j**4 - 5/2*j**g + j**3 = 0.
-1, -2/5, 0, 1
Let w be 7725/1236*(-16)/(-90). Solve 8/9*m + 0 - w*m**3 - 2/3*m**2 + 2/3*m**4 + 2/9*m**5 = 0 for m.
-4, -1, 0, 1
Suppose 46*g - 21*g + 159*g - 251 = 117. Suppose 0*n + 0 + 4/5*n**3 - 196/5*n**g = 0. What is n?
0, 49
What is t in -320/17 - 18/17*t**3 - 2/17*t**2 + 376/17*t = 0?
-5, 8/9, 4
Suppose 0 + 2/3*y**2 + 98/3*y = 0. Calculate y.
-49, 0
Let c(i) be the second derivative of i**5/10 + 4*i**4/3 - 80*i**3 - 2304*i**2 + 147*i + 4. What is y in c(y) = 0?
-12, 16
Let j(c) be the second derivative of -c**5/40 - 97*c**4/24 - 745*c**3/4 - 15075*c**2/4 + 451*c - 7. Find m, given that j(m) = 0.
-67, -15
Suppose -82/7*d - 2/7*d**2 - 156/7 = 0. What is d?
-39, -2
Let o(a) be the first derivative of -2*a**3/3 - 47*a**2/4 + 6*a - 839. Let o(w) = 0. Calculate w.
-12, 1/4
Let 65/3*w + 1/6*w**2 - 44 = 0. What is w?
-132, 2
Suppose -2*l - 10 + 36 = -5*q, 0 = q - 4*l + 52. Factor 0*j + 21/5*j**3 - 6/5*j**4 + 12/5*j**2 + q.
-3*j**2*(j - 4)*(2*j + 1)/5
Let k be 26466/3208 + (-25)/4. Suppose 40/7*j**k + 12*j + 4/7*j**3 + 0 = 0. Calculate j.
-7, -3, 0
Let 16*p**4 + 4/7*p**5 + 0 - 1936/7*p**2 - 26620/7*p + 792/7*p**3 = 0. Calculate p.
-11, 0, 5
Let i(f) = 17*f**3 + f**2 - 1. Let v(x) = -196*x**3 + 450*x**2 - 116*x + 12. Let y(k) = -12*i(k) - v(k). Suppose y(s) = 0. Calculate s.
-58, 0, 1/4
Solve 15*m**2 + 271 - 19*m**2 - 128 - 807*m + 7*m**2 + 661 = 0 for m.
1, 268
Let s(k) be the first derivative of -k**7/420 + 7*k**6/20 - 441*k**5/20 + 3087*k**4/4 + 29*k**3/3 + 28. Let r(i) be the third derivative of s(i). Factor r(h).
-2*(h - 21)**3
Factor 1805*i + 14*i**2 - 9*i**2 + 7137*i - 1872*i + 2499245.
5*(i + 707)**2
Let s(j) be the third derivative of 135*j**2 + 0 - 529/6*j**3 + 0*j - 1/60*j**5 + 23/12*j**4. Find m, given that s(m) = 0.
23
Let f(t) be the first derivative of -t**5/4 - 55*t**4/16 - 55*t**3/4 - 185*t**2/8 - 35*t/2 - 2873. Determine z so that f(z) = 0.
-7, -2, -1
Let q(k) be the first derivative of 1/5*k - 1/15*k**3 + 42 + 0*k**2. Determine y so that q(y) = 0.
-1, 1
Let i be (194/96 - 2)*1965/262. Let y(x) be the first derivative of 0*x**2 + 1/6*x**3 + i*x**4 + 1/40*x**5 + 0*x - 18. Let y(v) = 0. Calculate v.
-4, -1, 0
Let n(w) be the second derivative of -w**4/90 + w**3/3 - 56*w**2/15 + 209*w - 1. Find r, given that n(r) = 0.
7, 8
Let c(z) be the third derivative of -1/360*z**5 + 109 + 0*z**4 - z**2 + 0*z + 1/36*z**3. Factor c(w).
-(w - 1)*(w + 1)/6
Let y(l) be the third derivative of -l**5/480 + 17*l**4/64 + 59*l**3/6 + 8257*l**2. Determine s so that y(s) = 0.
-8, 59
Let d(m) = 2*m**4 + 2*m**3 + 20*m**2 + 8*m - 28. Let f(p) = p**4 - p**2 + 1. Let s(w) = d(w) - 4*f(w). Factor s(q).
-2*(q - 4)*(q - 1)*(q + 2)**2
Let v(r) be the first derivative of 0*r - 5/2*r**3 - 21/2*r**2 + 3/8*r**4 - 88. Find t, given that v(t) = 0.
-2, 0, 7
Let d(b) = -33*b**3 - 1055*b**2 + 10473*b - 2567. Let i(w) = -16*w**3 - 535*w**2 + 5236*w - 1284. Let u(n) = -4*d(n) + 7*i(n). Solve u(l) = 0.
-32, 1/4, 8
Let q = -1/2932 + 36651/2932. Let c(i) be the first derivative of q*i**2 + 15*i + 7 + 5/3*i**3 - 5/4*i**4. Find k such that c(k) = 0.
-1, 3
Factor 0 + 216*z + 6/5*z**3 - 552/5*z**2.
6*z*(z - 90)*(z - 2)/5
What is y in 31*y**2 + 1906*y**3 - 3843*y**3 + 1936*y**3 - 30*y = 0?
0, 1, 30
Let d(n) = -8*n**2 - 126*n - 1452. Let g = 446 - 452. Let m(t) = t**2 + 3*t - 1. Let h(u) = g*m(u) - d(u). Factor h(k).
2*(k + 27)**2
Let v(q) be the second derivative of q**7/42 + 11*q**6/30 + 33*q**5/20 + 3*q**4/4 - 9*q**3 + 991*q. Factor v(s).
s*(s - 1)*(s + 3)*