be the first derivative of -r**7/126 + r**6/18 - 5*r**5/36 + 5*r**4/36 + 10*r**2 - 10. Let p(g) be the second derivative of b(g). Factor p(a).
-5*a*(a - 2)*(a - 1)**2/3
Let i(h) = h**3 - h**2 - h + 2. Let t(j) = 3*j**4 + 24*j**3 + 90*j**2 + 120*j + 48. Let x(s) = 3*i(s) + t(s). Solve x(c) = 0 for c.
-3, -2, -1
Let a = -7 + 8. Let b be -1 - a - (-14 + 7). Factor 3*r + 2*r**3 + 8*r**2 - 5*r**2 - b*r**3 - 3*r**4.
-3*r*(r - 1)*(r + 1)**2
Let m = 1 + 1. Let v be (-3)/2 + (-99)/(-54). Determine x, given that 3 + v*x**2 - m*x = 0.
3
Suppose 19 - 1 = -3*x. Let l be ((-2)/x + 1)/(6/9). Find a such that 0 + 2/5*a - 2/5*a**3 - 1/5*a**4 + 1/5*a**l = 0.
-2, -1, 0, 1
Solve -1/2*i**4 - 1/2*i**3 + 0 + 2*i + 2*i**2 = 0 for i.
-2, -1, 0, 2
Let z(i) be the second derivative of i**7/56 - 9*i**5/80 - i**4/8 + 21*i + 2. Factor z(p).
3*p**2*(p - 2)*(p + 1)**2/4
Let g = -3341279/480 + 6961. Let h(d) be the third derivative of 0 + 0*d - 1/96*d**4 + 0*d**5 + g*d**6 + 8*d**2 + 0*d**3. Determine o, given that h(o) = 0.
-1, 0, 1
Let v(q) = 4*q - 5. Let b be v(2). Factor 9*i**2 + 2*i**4 + 2*i + 6*i**4 - 4*i**b - i**2 + 16*i**3 + 2*i**5.
2*i*(i + 1)**4
Let -59*x**5 + 2*x**3 - 37*x**3 + 57*x**5 - 5*x**3 + 32*x**2 + 16*x**4 = 0. Calculate x.
0, 2, 4
Let d(j) = -j**2 + j - 1. Let t(z) = -7*z**2 + 37*z - 2. Let s(x) = -2*d(x) + t(x). Determine u, given that s(u) = 0.
0, 7
Let k = 474 - 471. Let c(h) be the second derivative of -h + 3/20*h**5 - 1/2*h**3 + k*h**2 - 5/4*h**4 + 3/10*h**6 + 0. Solve c(x) = 0.
-1, 2/3, 1
Solve -1/8*t**4 + 1/8 + 0*t**2 + 1/4*t - 1/4*t**3 = 0.
-1, 1
Let 0 - 56/9*c - 2/9*c**3 + 32/9*c**2 = 0. Calculate c.
0, 2, 14
Let u = 8310 - 58152/7. Let -u - 2/7*f**2 - 12/7*f = 0. What is f?
-3
Let o(s) be the third derivative of 1/12*s**6 + 0*s**3 + 0*s - 1/105*s**7 + 1/4*s**4 - 15*s**2 + 0 - 7/30*s**5. Determine i, given that o(i) = 0.
0, 1, 3
Let i(q) be the second derivative of 0*q**2 + 12*q - 1/25*q**6 + 13/100*q**5 + 1/210*q**7 + 2/15*q**3 - 1/5*q**4 + 0. Find u such that i(u) = 0.
0, 1, 2
Let a(r) = -7*r**4 - 17*r**3 - 9*r**2 - r - 2. Let f(j) = -20*j**4 - 49*j**3 - 26*j**2 - 2*j - 5. Let v(y) = -17*a(y) + 6*f(y). Let v(q) = 0. What is q?
-4, -1, 1
Let i be ((-2)/(-6))/(2/12). Factor -228*q**3 + 0*q**4 - 2*q**4 - i*q**2 + 224*q**3.
-2*q**2*(q + 1)**2
Let u be (10/45)/((-21)/(-81)). Find r such that 3/7*r + 3/7*r**3 + 0 - u*r**2 = 0.
0, 1
Let j be 35/60*(-34)/(-14). Let v = j + -3/4. Factor v*y**2 + 1/3 + y.
(y + 1)*(2*y + 1)/3
Let k = 119 + -10. Let d = -541/5 + k. Let -2/5*l - 4/5 + 2/5*l**3 + d*l**2 = 0. Calculate l.
-2, -1, 1
Let w(n) be the second derivative of 3*n**5/160 + n**4/8 + n**3/16 - 9*n**2/8 + 426*n. Factor w(o).
3*(o - 1)*(o + 2)*(o + 3)/8
Let o(m) be the first derivative of 4*m**5/15 + 4*m**4/3 - 4*m**3 - 24*m**2 - 729. Suppose o(n) = 0. Calculate n.
-4, -3, 0, 3
Let z(g) be the third derivative of -g**7/105 + 11*g**5/30 - 3*g**4/2 + 8*g**3/3 + 343*g**2. Solve z(r) = 0.
-4, 1, 2
Suppose -4*x + 3*c - 61 = -6*x, -x = 4*c - 18. Let q = 40 - x. Let 3/2 + q*d + 1/2*d**2 = 0. Calculate d.
-3, -1
Let s = 5 + -2. Let z(j) = -j**3 + 6*j**2 + j - 4. Let w be z(6). Factor -o**2 - 11*o + 0*o**2 - 6 - o**w + s*o.
-2*(o + 1)*(o + 3)
Determine w, given that 1/3*w**2 - 1/9*w**4 + 4/9*w**3 + 8/9 - 14/9*w = 0.
-2, 1, 4
Solve -3*r**2 + 64*r**3 - r**4 - 12*r**2 - 3*r**4 - 97*r**2 = 0.
0, 2, 14
Suppose 7*f = f + 18. Determine c, given that 6 + 35*c + 10 - 2*c**3 + 25*c**2 + 7*c**f - 1 = 0.
-3, -1
Let f = 631/690 + -39/46. Let l(v) be the third derivative of 1/2*v**4 + 0*v + 4/3*v**3 + 0 + 2*v**2 + f*v**5. Factor l(x).
4*(x + 1)*(x + 2)
Let x = 225528/67 - 3366. Let t = 225/268 - x. Factor -t*f**2 - 3*f - 3.
-3*(f + 2)**2/4
Let p = 42 + -32. Find m, given that -5 + 4*m + 4 - 4*m**2 + 6*m**3 + 5 - p*m**3 = 0.
-1, 1
Let w(k) = k**2 - 6*k + 14. Let o(c) be the first derivative of 27*c - 11/2*c**2 + 2 + 2/3*c**3. Let m(d) = 4*o(d) - 10*w(d). Suppose m(p) = 0. What is p?
4
Let p(i) be the second derivative of 6*i**2 + 4/3*i**3 - 27*i - 1/3*i**4 + 0. Factor p(j).
-4*(j - 3)*(j + 1)
Let f = -546 + 546. Suppose 0*d + 0*d**2 + f - 1/4*d**3 = 0. Calculate d.
0
Let o(c) = 2*c**5 + 8*c**4 + 24*c**3 + 14*c**2 + c + 1. Let x(a) = a**5 - a**4 + a**3 - a**2 + a + 1. Let t(u) = 2*o(u) - 2*x(u). Suppose t(d) = 0. Calculate d.
-5, -3, -1, 0
Let g(a) be the third derivative of 9*a**7/140 - 7*a**6/80 - a**5/2 - a**4/4 - 52*a**2. Let g(r) = 0. Calculate r.
-1, -2/9, 0, 2
Suppose 12 = 5*x + 2. Determine w, given that 4*w**x + 5*w**3 + 6*w**3 + 2*w**3 - 4 + 4*w - 17*w**3 = 0.
-1, 1
Let u be ((-55)/(-45) + -1)/(3/27). Factor 3*i**5 - 9*i**4 - 4 - 36*i + 4 + 9*i**u + 3*i**3 + 30*i.
3*i*(i - 2)*(i - 1)**2*(i + 1)
Let r = -3955/2 + 1979. Determine i, given that -3/2 + 3*i**4 - 9/2*i**3 - r*i**2 + 9/2*i = 0.
-1, 1/2, 1
Let m be (0 - -2) + (-570)/9. Let x = m - -62. Factor -x*j**2 + 2/3*j + 0.
-2*j*(j - 1)/3
Let t(w) be the second derivative of -w**4/8 - 7*w**3/2 + 24*w**2 + 66*w + 1. Factor t(d).
-3*(d - 2)*(d + 16)/2
Let 40*g - 23*g - 4*g**2 + 63*g = 0. Calculate g.
0, 20
Let r = -66 + 69. Suppose 0 = r*d - 0. Solve -4/5*x**4 + 0 + 4/5*x**2 - 2/5*x + d*x**3 + 2/5*x**5 = 0.
-1, 0, 1
What is l in 0 + 15/4*l**2 + 3/4*l**3 + 9/2*l = 0?
-3, -2, 0
Let q(p) be the third derivative of -p**7/5880 - p**6/420 - 3*p**5/280 + 3*p**3/2 + 7*p**2. Let f(y) be the first derivative of q(y). Factor f(i).
-i*(i + 3)**2/7
Find b, given that -1/2*b**3 + 1/2*b + 51 - 51*b**2 = 0.
-102, -1, 1
Let n(o) = 15*o - o**2 - 15*o**3 + 30 - 14 - 4*o**2. Let x(k) = 4*k**3 + k**2 - 4*k - 4. Let i(a) = 6*n(a) + 22*x(a). Factor i(f).
-2*(f - 1)*(f + 1)*(f + 4)
Let z(o) be the third derivative of -o**5/150 - 4*o**4/15 - 11*o**3/3 + o**2 - 353*o. Let z(h) = 0. Calculate h.
-11, -5
Let j = -8/2027 - 2114121/10135. Let y = j - -211. Factor -y*x + 18/5 + 2/5*x**2.
2*(x - 3)**2/5
Factor -2/17*o**5 + 6/17*o**2 - 14/17*o**3 + 10/17*o**4 + 0*o + 0.
-2*o**2*(o - 3)*(o - 1)**2/17
Let j = 264 + -254. Suppose -5*g + 5 = -f, 2*f = -0*g + g - j. What is c in -6/7*c + g + 3*c**2 - 15/7*c**3 = 0?
0, 2/5, 1
Let y be (20/8 + 1)*-2. Let d be (-2)/y - (-220)/14. Solve -23*s + 7*s + 24*s**2 + 0*s**4 + 0 + 4*s**4 - d*s**3 + 4 = 0.
1
Let t be (50/28)/((-1250)/(-2625)). Determine k, given that -5/2 - 5/4*k**2 + t*k = 0.
1, 2
Let -3/5*t**4 + 3/5*t**2 + 0*t + 0 - 1/5*t**5 + 1/5*t**3 = 0. Calculate t.
-3, -1, 0, 1
Let m(o) be the second derivative of 7/78*o**4 - 24*o + 5/39*o**3 - 2/13*o**2 + 0. Factor m(s).
2*(s + 1)*(7*s - 2)/13
Let z(b) be the third derivative of -b**5/90 + 7*b**4/36 - 4*b**3/3 - 79*b**2. Determine v so that z(v) = 0.
3, 4
Let v(x) be the first derivative of -18 + x**3 - 6*x**2 + 32 + 12*x - 16. Determine r so that v(r) = 0.
2
Let l(c) be the first derivative of -c**4/4 + c**3 + 2*c**2 + 28. Determine u, given that l(u) = 0.
-1, 0, 4
Let y = 27/826 + 8179/2478. Suppose 82/9*i**3 - 74/9*i**2 + y*i + 8/9*i**5 - 14/3*i**4 - 4/9 = 0. What is i?
1/4, 1, 2
Let c(z) = -z**3 + 3*z**2 + z + 1. Let r(w) = 5*w**3 + 16*w**2 - 5*w - 32. Let o(x) = -4*c(x) - r(x). Factor o(p).
-(p - 1)*(p + 1)*(p + 28)
Let i be 216/30*(4 - 28/8). Let d(g) be the first derivative of 8 - i*g - 18/5*g**2 - 2/75*g**5 - 1/3*g**4 - 8/5*g**3. Suppose d(r) = 0. What is r?
-3, -1
Let w(p) be the first derivative of -2*p**3/3 + 4*p**2 + 42*p + 265. Factor w(r).
-2*(r - 7)*(r + 3)
Let j be (-6 - 0)*(1 + 29/(-27)). Let m(f) be the first derivative of -1/6*f**4 + 0*f - j*f**3 - 4 - 1/3*f**2. Let m(a) = 0. Calculate a.
-1, 0
Let x(y) be the third derivative of -y**5/80 - y**4/4 - 15*y**3/8 + 343*y**2. Let x(f) = 0. What is f?
-5, -3
Let l(w) = -6*w - 1. Let k be l(-1). Suppose -3*g - 5 + 11 = 0. Find m such that 3*m - 3*m + m - g*m**3 + k*m - 4 = 0.
-2, 1
Let l be 2/(-6) - (-11)/(-3). Let z be 1*(-3)/3 - l. Determine w so that -3*w**2 + 3*w**2 - 6*w**2 + 3*w**z + 3*w = 0.
0, 1
Suppose -43*s + 318 = -40*s. Let c = -106 + s. Solve -4/5*o**3 + c*o - 13/5*o**4 + 4/5*o**2 - o**5 + 0 = 0 for o.
-2, -1, 0, 2/5
Let r(n) be the first derivative of -4/5*n**5 - 4*n**2 + 4*n**3 + 0*n + 26 + 0*n**4. Factor r(p).
-4*p*(p - 1)**2*(p + 2)
What is n in -88/5*n - 6/5*n**3 + 278/5*n**2 - 184/5 = 0?
-2/3, 1, 46
Let q(d) be the second derivative of -d**4/24 + d**3/6 + 3*d**2/4 + 35*d. Factor q(r