hat 0*m + 3*m**2 - 10*m + q + 3*m + m = 0.
1
Let r be 1*16 - (-8 + 5). Solve -r*o + 4*o**2 + 37*o - 22*o = 0 for o.
0, 1
Let k(s) be the second derivative of -s**7/2520 - s**6/360 + s**5/15 - s**4 - 20*s. Let d(v) be the third derivative of k(v). Factor d(y).
-(y - 2)*(y + 4)
Let z(i) be the second derivative of i**6/15 + i**5/10 - 3*i**4/2 + 11*i**3/3 - 4*i**2 + 65*i. Suppose z(c) = 0. What is c?
-4, 1
Let f(u) be the second derivative of 27*u**7/35 + 69*u**6/25 - 833*u**5/50 + 247*u**4/10 - 72*u**3/5 + 4*u**2 + 80*u. Solve f(w) = 0 for w.
-5, 2/9, 1
Let p(z) = 38*z**2 + 16*z + 20. Let o(v) = 8*v**2 + 3*v + 4. Let b(h) = -14*o(h) + 3*p(h). Factor b(g).
2*(g + 1)*(g + 2)
Let i be ((-89)/1246)/((-2)/12). Factor 6/7*m**3 - 3/7*m + 0 - i*m**2.
3*m*(m - 1)*(2*m + 1)/7
Let q(n) be the third derivative of 0 - 1/3*n**3 + 1/30*n**5 + 0*n**4 + 0*n - 4*n**2. Find a such that q(a) = 0.
-1, 1
Let w(h) be the second derivative of h**6/24 - 7*h**5/10 + 4*h**4 - 16*h**3/3 - 2*h**2 - 32*h. Let l(k) be the first derivative of w(k). Factor l(v).
(v - 4)**2*(5*v - 2)
Let h(d) = 30*d**2 - 1200*d + 36005. Let q(z) = -47*z**2 + 1800*z - 54008. Let w(r) = -8*h(r) - 5*q(r). Factor w(j).
-5*(j - 60)**2
Let g(t) be the first derivative of -t**3/4 - 5*t**2 - 13*t/4 + 153. Factor g(w).
-(w + 13)*(3*w + 1)/4
Determine z so that -64/13 + 2/13*z**5 - 40/13*z + 38/13*z**3 + 86/13*z**2 - 22/13*z**4 = 0.
-1, 1, 4, 8
Let y(r) be the third derivative of 1/18*r**4 + 0*r**3 + 0 - 1/315*r**7 + 1/504*r**8 + 1/90*r**5 - 1/60*r**6 + 12*r**2 + 0*r. What is c in y(c) = 0?
-1, 0, 1, 2
Let h = 10282/5 - 2056. Let 0*f**2 + h*f**5 + 2/5*f + 0*f**4 + 0 - 4/5*f**3 = 0. What is f?
-1, 0, 1
Find j such that -29*j**4 - 3*j**2 + 26*j**4 - 61 + 13 - 72*j + 18*j**3 = 0.
-1, 4
Let j(i) be the first derivative of 3*i**5/5 - 15*i**4/4 + 9*i**3 - 21*i**2/2 + 6*i + 447. Factor j(r).
3*(r - 2)*(r - 1)**3
Let c = 1928 - 9638/5. Determine x so that 162/5*x**2 + c - 36/5*x = 0.
1/9
Let a = 1347/7 - 192. Suppose 7*k + 35 + 21 = -5*u, 3*k + 24 = u. Suppose -3/7*l**2 + a*l + u = 0. What is l?
0, 1
Let z be ((60/(-16))/(-3))/((-2)/56). Let x be (4004/z)/(-11) + (-4)/(-10). Factor 8/15 + x*v**2 + 24/5*v.
2*(9*v + 2)**2/15
Suppose 0 = -4*y - 72 + 80. Let n(q) be the third derivative of 0*q - 1/150*q**5 + 1/75*q**6 - 4*q**y + 1/15*q**3 + 0 - 1/15*q**4. Factor n(b).
2*(b - 1)*(b + 1)*(4*b - 1)/5
Let y(k) be the second derivative of -k**6/30 + 6*k + 9. Factor y(b).
-b**4
Suppose -232/5*c**3 - 228/5 + 224/5*c**2 + 232/5*c + 4/5*c**4 = 0. What is c?
-1, 1, 57
Let p(s) = -2*s**2 + 5*s - 4. Let v be p(1). Let u be (-8)/(3 + (0 + 17)/v). Factor -4/7 - 1/7*d**2 + u*d.
-(d - 2)**2/7
Suppose 2*o + 1 = 3*o. Determine f, given that -4 - 2*f**2 + 3 + o + 4*f = 0.
0, 2
Let h be (-1)/((-756)/(-90) + -9). Factor -h*w**2 + 0*w + 0 - 5/6*w**4 - 5/2*w**3.
-5*w**2*(w + 1)*(w + 2)/6
Let f(n) = -55*n**2 - 140*n - 125. Let t(d) = 5*d**2 - d - 1. Let x be t(1). Let w(a) = -8*a**2 - 20*a - 18. Let g(o) = x*f(o) - 20*w(o). Factor g(r).
-5*(r + 1)*(r + 3)
Let f(l) be the second derivative of l**5/90 - 7*l**4/27 + 20*l**3/9 - 8*l**2 - 728*l. Determine j, given that f(j) = 0.
2, 6
Let 0 + 9/2*x - 65/4*x**3 - 9/4*x**2 + 11/2*x**4 = 0. Calculate x.
-6/11, 0, 1/2, 3
Let w(d) be the first derivative of -4*d**3/3 + 126*d**2 - 488*d + 679. Factor w(j).
-4*(j - 61)*(j - 2)
Let m = 25 + -52. Let r = -25 - m. Solve -8*u**3 + 0 + 0*u - 2*u**r - 21/2*u**4 - 9/2*u**5 = 0 for u.
-1, -2/3, 0
Let w be 3/((-11)/(-2) - (-276)/(-69)). Let 4/5*o**3 - 4/5*o + 8/5*o**w - 8/5 = 0. Calculate o.
-2, -1, 1
Let p be 3626/(-21645) - -2*(-1)/(-5). Let r = p - 2/195. Factor -r*z + 0 - 2/9*z**3 - 4/9*z**2.
-2*z*(z + 1)**2/9
Suppose 6*y + 3*y - 36 = 0. Solve -5*n**2 + 2*n**2 - y*n**3 + n**3 = 0.
-1, 0
Factor -1/11*y**4 + 21/11*y**2 + 8/11 + 23/11*y + 5/11*y**3.
-(y - 8)*(y + 1)**3/11
Let s = 23663971/487356 - 65/9556. Let n = 146/3 - s. What is m in -8/17*m + 6/17 + n*m**2 = 0?
1, 3
Let d(i) be the first derivative of 2*i**3/57 + 4*i**2/19 + 8*i/19 + 86. Factor d(c).
2*(c + 2)**2/19
Let c(q) = -2*q**4 - 14*q**3 + 32*q**2 - 34*q - 12. Let v(y) = 2*y**4 + 13*y**3 - 33*y**2 + 33*y + 10. Let z(u) = 5*c(u) + 6*v(u). Factor z(l).
2*l*(l - 2)*(l - 1)*(l + 7)
Let v(t) be the second derivative of 2*t**7/21 - 16*t**6/15 + 24*t**5/5 - 34*t**4/3 + 46*t**3/3 - 12*t**2 + 271*t. Let v(b) = 0. Calculate b.
1, 2, 3
Factor -3 + 0*y + 1/3*y**2.
(y - 3)*(y + 3)/3
Let u = 11 + -16. Let p(m) = 5*m**3 - 12*m**2 + 10*m - 3. Let c(x) = -10*x**3 + 25*x**2 - 20*x + 5. Let t(g) = u*p(g) - 3*c(g). What is z in t(z) = 0?
0, 1, 2
Let x = 15395/24 - 4185/8. Let q = x + -118. Find j, given that 0*j**2 + q*j**5 + 0 + 0*j + 0*j**4 - 1/3*j**3 = 0.
-1, 0, 1
Let n = 20721 - 20719. Determine a so that 2*a**4 + 0 + 4/3*a - 4/3*a**3 - 2*a**n = 0.
-1, 0, 2/3, 1
Let g(y) be the second derivative of y**5/7 + 11*y**4/21 - 26*y**3/21 - 6*y**2/7 - 530*y. Factor g(b).
4*(b - 1)*(b + 3)*(5*b + 1)/7
Let d be (-1)/3 - (-8 - -9)*-7. Factor d*x + 25/6*x**2 - 10/3.
5*(x + 2)*(5*x - 2)/6
Let j(f) be the first derivative of -2/5*f**2 - 6/25*f**5 - 13 + 0*f + 2/5*f**3 + 1/10*f**4 + 1/15*f**6. Solve j(t) = 0.
-1, 0, 1, 2
Suppose h + 91 - 76 = 3*o, -o + 4*h = -5. Let l(n) be the second derivative of 1/110*n**o - 12*n - 2/11*n**2 - 1/11*n**3 + 0*n**4 + 0. Factor l(p).
2*(p - 2)*(p + 1)**2/11
Let u(l) be the third derivative of 1/330*l**5 + 0*l + 5/132*l**4 + 0 - 43*l**2 + 2/11*l**3. Factor u(w).
2*(w + 2)*(w + 3)/11
Let h(a) be the third derivative of 0*a + 0*a**3 + 0 + 8*a**2 - 1/28*a**4 - 1/420*a**6 + 1/42*a**5 - 1/735*a**7. Factor h(r).
-2*r*(r - 1)**2*(r + 3)/7
Let u(b) = -b**2 - 25*b + 38. Let k be u(-26). Let v be 21/52 - 1*3/k. What is n in -4/13 + v*n**2 + 2/13*n = 0?
-2, 1
Suppose 0*i - 1/4*i**4 - 3/2*i**2 + 0 + 5/4*i**3 = 0. What is i?
0, 2, 3
Solve 0*j + 0 - 3/7*j**2 = 0 for j.
0
Suppose -2*b - 126 = 2*w + 10, -4*b - 276 = 2*w. Let k = 72 + b. Find c such that 0 - 2*c**3 + 4/5*c - 2/5*c**k - 4/5*c**4 = 0.
-2, -1, 0, 1/2
Factor 2/11*r**3 + 2/11*r**2 - 4/11*r + 0.
2*r*(r - 1)*(r + 2)/11
Let d(i) be the first derivative of 18 - 3*i + 5*i**3 - 9/4*i**4 - 3/2*i**2. Suppose d(o) = 0. What is o?
-1/3, 1
Let t(y) = y**3 + 718*y**2 - 25203*y - 25923. Let g(a) = -10*a**3 - 5745*a**2 + 201625*a + 207385. Let j(d) = -3*g(d) - 25*t(d). Suppose j(v) = 0. What is v?
-1, 72
Suppose -k**4 - 14 - 18 - 21*k**2 - 4*k + k**3 + 3*k**3 + 27*k**2 + 27*k**2 = 0. Calculate k.
-4, -1, 1, 8
Let l(f) be the third derivative of -f**7/490 - 23*f**6/840 - f**5/30 + 6*f**2 + 2. Factor l(o).
-o**2*(o + 7)*(3*o + 2)/7
Let w be 2/(-5)*(3 - 13). Suppose -w*k + 7*k - 39 = 0. Suppose -11*z + 5*z**2 - 4*z**3 + z**4 - 4*z + k*z = 0. What is z?
0, 1, 2
Factor 0 + 0*x - 2/7*x**3 + 2/7*x**2.
-2*x**2*(x - 1)/7
Let k = 731 - 728. Find h, given that 0*h - 18/7*h**4 + 0 + 8/7*h**2 + 0*h**k = 0.
-2/3, 0, 2/3
Let q = -213 + 216. Let h(u) = -u**2 + 5*u. Let a be h(4). Factor -4*y - y**q - y**2 + a*y**2 + y**2.
-y*(y - 2)**2
Let p(u) = 8*u**3 - 6*u**2 - 9*u - 1. Let t(i) = 7*i**3 - 6*i**2 - 9*i. Let m(r) = -2*p(r) + 3*t(r). Factor m(w).
(w - 2)*(w + 1)*(5*w - 1)
Let w(t) be the second derivative of 13*t**6/450 + 17*t**5/150 + 2*t**4/15 + t**3/6 + 2*t**2 - 6*t - 5. Let v(l) be the second derivative of w(l). Factor v(j).
4*(j + 1)*(13*j + 4)/5
Let c = -300 - -21001/70. Let f(u) be the second derivative of 4/7*u**2 + 0 - u + c*u**5 + 5/42*u**4 + 8/21*u**3. Factor f(q).
2*(q + 1)*(q + 2)**2/7
Let q(d) be the second derivative of d**4/84 - 4*d**3/7 + 72*d**2/7 - 10*d + 3. Solve q(u) = 0 for u.
12
Let y(x) be the second derivative of x**6/45 - 2*x**5/15 - 5*x**4/18 + 43*x. Factor y(b).
2*b**2*(b - 5)*(b + 1)/3
Suppose -30 = -s - 78. Let a = 195/4 + s. Suppose 1/4*w**2 + a*w - 1/4 - 3/4*w**3 = 0. What is w?
-1, 1/3, 1
Let a(x) be the third derivative of 0*x**4 + 0*x**3 + 19*x**2 + 0 + 1/100*x**5 + 0*x. Factor a(n).
3*n**2/5
Let r = -17553 - -631817/36. Let x = r + 11/4. Solve -2/9*w**2 - x*w + 4/9 = 0.
-2, 1
Let s(k) be the first derivative of 1/12*k**4 + 0*k**3 + 1/20*k**5 + 0*k**2 + 2 - 13*k. Let r(g) be the first derivative of s(g). Factor r(y).
y**2*(y + 1)
Let a(m) = m**2 + 9*m + 16. Let j be a(-7). Let z = -655/4 + 164. Solve 1 + 0*q - z*q**j = 0.
-2, 2
Let m(r) be th