24*o(f) + 3*u(f). Find s, given that k(s) = 0.
-3, -14/9
Let h(j) be the first derivative of -j**4/12 - 13*j**3/6 - 6*j**2 + 68*j + 70. Let f(s) be the first derivative of h(s). Factor f(g).
-(g + 1)*(g + 12)
Let c(b) be the third derivative of -b**7/5040 - 2*b**6/45 - 64*b**5/15 + 29*b**4/8 - 145*b**2. Let r(k) be the second derivative of c(k). Factor r(p).
-(p + 32)**2/2
Suppose -2*u + 4*n + 0 + 10 = 0, 25 = 5*u - 2*n. Suppose 66 - 27*k**u - 813*k**3 + 261*k**4 - 408*k + 48*k - 18 + 891*k**2 = 0. What is k?
1/3, 1, 4
Let j = -29407/13 - -206022/143. Let n = -821 - j. Determine f so that -14/11*f**2 - n + 18/11*f = 0.
2/7, 1
Let q be (-2)/(-7)*((-20)/25)/((-46)/115). Determine i so that -10/7*i**2 + q*i + 0 - 6/7*i**3 = 0.
-2, 0, 1/3
Determine k so that -97 + 57 + 658 - 2*k**2 + 417 - 1032*k - k**2 = 0.
-345, 1
Let b(d) be the third derivative of -d**8/70560 + d**7/8820 + d**6/840 - 3*d**5/20 - d**3/2 + 29*d**2. Let a(o) be the third derivative of b(o). Factor a(n).
-2*(n - 3)*(n + 1)/7
Let y(f) be the first derivative of -2*f**7/7 - 9*f**6/10 - 3*f**5/4 + 36*f + 18. Let r(t) be the first derivative of y(t). Factor r(v).
-3*v**3*(v + 1)*(4*v + 5)
Let f = 492815/6 - 82135. Suppose -5/3*g - 5/6*g**2 - f = 0. What is g?
-1
Let g(f) be the first derivative of -56 + 16/5*f**2 - 14/15*f**3 - 24/5*f + 1/10*f**4. Factor g(w).
2*(w - 3)*(w - 2)**2/5
Let b be 2 + 9 + (95/(-10) - 7) + 6. Let -b*d**4 - 1/3*d**2 + 0 + 0*d - 5/6*d**3 = 0. What is d?
-1, -2/3, 0
Let c be 24 + -9 + -1 + 4. Let i(y) be the first derivative of 43 + c*y + 2/3*y**3 + 10*y**2. Factor i(a).
2*(a + 1)*(a + 9)
Let c be (-1836)/(-247) + (-90)/(-195). Let t = -412/57 + c. Solve 0 + t*w**3 + 0*w - 2*w**2 = 0 for w.
0, 3
Let r(h) be the first derivative of -3/80*h**5 + 0*h**2 + 0*h**4 + 0*h + 1/240*h**6 - 9 + h**3. Let p(f) be the third derivative of r(f). Factor p(l).
3*l*(l - 3)/2
Let u(i) = -46*i**2 + 3880*i + 859. Let c(l) = -22*l**2 + 1940*l + 430. Let x(a) = -5*c(a) + 2*u(a). Determine m so that x(m) = 0.
-2/9, 108
Let r be -1*(1634/342 - (-4)/18). Let j be 0*1/(2 - r). Solve -1/3*m**2 - 1/2*m + 1/6*m**3 + j = 0.
-1, 0, 3
Let x(b) be the first derivative of -9*b + 24 + 14/3*b**2 - 1/9*b**3. Factor x(s).
-(s - 27)*(s - 1)/3
Let r(l) = -l**5 + l**4 - l**3 + l**2 + 2*l. Let m(c) = 7*c**5 + 288*c**4 + 3887*c**3 - 9902*c**2 - 13504*c. Let n(d) = m(d) + 2*r(d). Solve n(t) = 0.
-30, -1, 0, 3
Suppose -17*p + 92 = 6*p. Suppose -5*r + p*l + 35 = 0, 152*l - 20 = 156*l. Factor -t**4 + 2/3*t**r + 0*t + 1/3*t**5 + 0*t**2 + 0.
t**3*(t - 2)*(t - 1)/3
Let v(h) be the second derivative of -h**5/20 + 10*h**4/3 - 182*h**3/3 + h - 1253. Factor v(s).
-s*(s - 26)*(s - 14)
Let x be (285/10 - 19) + -8. Factor 21/4*r**3 + 33/4*r - x - 12*r**2.
3*(r - 1)**2*(7*r - 2)/4
Let j(n) = 113*n + 3955. Let h be j(-35). Let w(m) be the third derivative of 0 + 0*m**3 + h*m + 7/12*m**5 - 11*m**2 - 5/4*m**4 - 1/24*m**6. Factor w(p).
-5*p*(p - 6)*(p - 1)
Find j such that 186*j**3 - 162129 + 248*j**4 - 135834*j + 95663*j + 5542*j**2 + j**5 - 285*j**4 = 0.
-11, -3, 17
Suppose 3*w - 3*z = 144, -2*z = -4*w + z + 192. Suppose 4*y + 92 = 108. Let -16*b**4 - 18*b**4 - b**5 + w*b**4 - 17*b**y = 0. Calculate b.
-3, 0
Let u be (-858)/55 + 11 + (-4818)/(-730). Factor -32/3*z + 4*z**u - 1/3*z**3 + 0.
-z*(z - 8)*(z - 4)/3
Let k be (-4424)/(-11613)*3/(3/1). Find v, given that 8/21*v**2 + 0 - k*v**4 + 2/7*v - 4/21*v**3 - 2/21*v**5 = 0.
-3, -1, 0, 1
Let g be (-2597)/(-196) + (-1)/4. Determine j, given that -3*j**2 - 30 + 11*j + g*j + 22*j - 79*j = 0.
-10, -1
Let w(f) = f**2 - 15*f + 2. Let v be w(0). Factor -27 + 36*a + 6*a**v - 52*a**4 - 12*a**3 + 42*a**4 + 7*a**4.
-3*(a - 1)**2*(a + 3)**2
Let b(y) = 2*y**2 + y - 1. Let w(j) = 11*j**2 + 16*j - 4. Let m = -56 + 66. Suppose 1 = -m*k + 11. Let t(s) = k*w(s) - 4*b(s). Let t(x) = 0. What is x?
-4, 0
Let o(g) = -7*g**2 + 51*g - 11. Let z be 2 + 33/(-18) - (-1886)/276. Let n be o(z). Suppose -3*c**2 - 3/2*c**n + 0*c + 0 = 0. Calculate c.
-2, 0
Let s(m) be the third derivative of -m**5/60 + 1415*m**4/12 - 2002225*m**3/6 + 3328*m**2. Suppose s(z) = 0. Calculate z.
1415
Factor 4/5*t**2 - 60 - 8*t.
4*(t - 15)*(t + 5)/5
Let b(c) be the third derivative of c**6/540 - c**5/9 + 107*c**4/108 - 26*c**3/9 + 1504*c**2. Suppose b(u) = 0. What is u?
1, 3, 26
Suppose 3*q - 3*w = 909 - 216, -5*w - 927 = -4*q. Let x = -225 + q. Factor -2/5*z + 0 + 432/5*z**4 + 36/5*z**2 - 216/5*z**x.
2*z*(6*z - 1)**3/5
Factor -2*d**2 - 304397*d + 304397*d.
-2*d**2
Let w be (-12 - 5278/(-441))*-14. Let n(p) be the first derivative of -2 - 1/3*p**2 + 0*p**3 + w*p + 1/18*p**4. Factor n(o).
2*(o - 1)**2*(o + 2)/9
Suppose 19*y + 377 = 510. Suppose 13*f = -y*f. Find w, given that 0 + 2/9*w**3 + f*w + 2/9*w**2 = 0.
-1, 0
Determine f, given that -135/2*f**4 - 2502*f**3 - 5235/2*f**2 - 108 - 921*f = 0.
-36, -2/5, -1/3
Factor 60*t**4 + 735*t - 14*t**3 + 20*t**3 - 1807*t**2 + 54*t**3 + 1217*t**2 - 148 - 122 + 5*t**5.
5*(t - 1)**3*(t + 6)*(t + 9)
Let p(o) be the third derivative of -1/300*o**5 + 1/40*o**4 + 0*o + 2/15*o**3 + 0 + 75*o**2. Let p(u) = 0. What is u?
-1, 4
Let p = 1871 + -1871. Let l(x) be the third derivative of 1/16*x**4 - 1/60*x**5 + 0*x**3 + p*x + 3*x**2 + 0. Factor l(j).
-j*(2*j - 3)/2
Let p = -23750 - -23750. Let d(z) be the second derivative of 0*z**2 + 1/4*z**5 - 42*z + p + 1/6*z**6 - 5/6*z**3 - 5/12*z**4. Factor d(y).
5*y*(y - 1)*(y + 1)**2
Let o(w) = 30 - 6*w + w + 2 + 4*w. Let b be o(11). Find h, given that -40*h**3 - 39*h**3 - 6*h**2 + b*h**2 + 76*h**3 + 18*h = 0.
-1, 0, 6
Let w be (-4644)/(-288) + 0 + -1 + -15. Factor 0 - 9/8*l**3 + 0*l - 3/8*l**4 + w*l**5 - 5/8*l**2.
l**2*(l - 5)*(l + 1)**2/8
Let y(s) = -6*s**4 - 195*s**3 - 1632*s**2 - 767*s + 1. Let k(v) = 15*v - 52*v - 1 + 19*v + 17*v. Let a(z) = k(z) + y(z). Suppose a(h) = 0. Calculate h.
-16, -1/2, 0
Let p be 1980/(-1386)*(-1 + -6)*1. Let v(d) = 43*d - 424. Let k be v(p). Determine f so that 24/5*f**4 + k*f - 6*f**3 - 6/5 - 18/5*f**2 = 0.
-1, 1/4, 1
Let i be 2856/(-72) + (-5617)/(-137). Factor -64/3 + 32/3*t - i*t**2.
-4*(t - 4)**2/3
Solve -244/3*f**3 - 272/3*f**2 + 1330/3*f + 2/3*f**5 - 800/3 - 16/3*f**4 = 0 for f.
-5, 1, 16
Let a(b) = b**3 + 572*b + 1746. Let z be a(-3). Factor -190/9*m + 2/9*m**4 - 26/9*m**z + 38/3*m**2 + 100/9.
2*(m - 5)**2*(m - 2)*(m - 1)/9
Factor 170/3 + 2/3*y**2 - 172/3*y.
2*(y - 85)*(y - 1)/3
Let n = 96 + -93. Factor -17*q + 0*q**3 - 9 - 3*q**3 + n - 14*q**2.
-(q + 1)*(q + 3)*(3*q + 2)
Let k(q) = 14*q**2 - 3*q + 1. Let w(x) = 23*x**2 - 36*x - 23. Let l(o) = 2*k(o) - w(o). Factor l(c).
5*(c + 1)*(c + 5)
Let y = 172261/3 + -57419. Factor -y*n + 1/3*n**2 - 4.
(n - 6)*(n + 2)/3
Let w(s) be the second derivative of s**7/14 + s**6/2 - 93*s**5/20 + 43*s**4/4 - 9*s**3 + 328*s. Solve w(h) = 0.
-9, 0, 1, 2
Let k(s) be the first derivative of s**4/40 - 23*s**3/15 + 22*s**2/5 - 1571. Let k(o) = 0. Calculate o.
0, 2, 44
Factor -60*j - 5/7*j**3 + 1052/7*j**2 + 0.
-j*(j - 210)*(5*j - 2)/7
Let j(w) be the second derivative of -w**7/21 - 46*w**6/15 - 167*w**5/10 + 23*w**4/3 + 56*w**3 + 7328*w. Find i, given that j(i) = 0.
-42, -4, -1, 0, 1
What is b in -1920/7*b**2 - 8/7*b**4 - 244/7*b**3 - 900/7*b + 0 = 0?
-15, -1/2, 0
Let n be (-26 + (-11816)/(-448))/((-3)/(-50)). Solve 36 + 1/4*x**5 - 119/4*x**2 + 167/4*x**3 - 42*x - n*x**4 = 0.
-1, 1, 12
Let s = -69/5 + 14. Let d = 467/2235 - 4/447. Let 0 + 0*f**2 + d*f**3 - s*f = 0. What is f?
-1, 0, 1
Let a(o) = -481*o - 962. Let q be a(-2). Factor 0*j**2 + 2/5*j**5 + 2/5*j**4 + 0*j**3 + q*j + 0.
2*j**4*(j + 1)/5
Let i = 7817/193 + -1/386. Let x(l) be the second derivative of 0 - 3/5*l**5 - 18*l**3 + 16*l - 9/2*l**4 - i*l**2 - 1/30*l**6. Find a, given that x(a) = 0.
-3
Let g(v) be the second derivative of 0 + 0*v**3 - 1/2*v**4 + 1/4*v**5 + 1/15*v**6 + 0*v**2 - 1/42*v**7 - 215*v. Solve g(d) = 0 for d.
-2, 0, 1, 3
Let u(v) = v**2 - 15*v + 9. Let i(y) = y - 1. Let d(r) = 4*i(r) + u(r). Let x be d(11). Factor -2*c**2 - 8*c**5 + 2*c**4 - 11*c**5 + 18*c**x + c**3.
-c**2*(c - 2)*(c - 1)*(c + 1)
Let l(w) be the third derivative of w**7/210 - 209*w**6/60 + 14699*w**5/20 - 10868*w**4/3 + 21632*w**3/3 - 2*w**2 - 1031. Suppose l(u) = 0. What is u?
1, 208
Suppose 5*v = 5, -v = -2*t - 3*t + 4. Let f be (t/3)/(2*(-4)/(-1