or -h*d - 1/11*d**3 + 6/11*d**2 + 0.
-d*(d - 4)*(d - 2)/11
Let g = -233 - -236. Let n(m) be the second derivative of 1/2*m**g + 3/4*m**2 + 0 - 4*m + 1/8*m**4. Find q such that n(q) = 0.
-1
Let c(o) be the third derivative of o**5/15 - 31*o**4/3 + 1922*o**3/3 - o**2 - 15. Determine p, given that c(p) = 0.
31
Let b be -4*(1/8 + 189/(-216)). Factor -8/13*k**2 + 2/13*k**b + 0 + 6/13*k.
2*k*(k - 3)*(k - 1)/13
Let l(n) be the first derivative of n**4/32 - n**3/24 - n**2/2 + 3*n/2 - 297. Let l(u) = 0. What is u?
-3, 2
Factor -10*p**4 - 35*p**5 - 20*p + 2*p**2 + 18*p**2 + 30*p**5 + 15*p**3.
-5*p*(p - 1)**2*(p + 2)**2
Factor 101*m**2 + 123*m**2 - 313*m**2 - 2*m**3 + 103*m**2.
-2*m**2*(m - 7)
Let p be (-14)/(-1)*8/8. Let w be (-17)/(-14) - (-2 - (-24)/p). Find d, given that 3/4*d**3 + 0*d**2 + 0*d + 0 + w*d**4 = 0.
-1/2, 0
Suppose 6*i - 18 = 3*i + 2*q, 3*q + 29 = 5*i. Let p(a) be the second derivative of -1/20*a**i + 0*a**3 + 4*a + 0 + 0*a**2. Find b, given that p(b) = 0.
0
Determine j so that -3*j**2 - 353*j**3 + 288*j**3 + 15*j - 40*j**4 - 7*j**2 = 0.
-1, 0, 3/8
Let u(w) be the first derivative of -w**5/50 + 7*w**4/20 - 32*w**3/15 + 24*w**2/5 + 136. Factor u(i).
-i*(i - 6)*(i - 4)**2/10
Let i(y) be the first derivative of -30*y**3/17 + 24*y**2/17 + 8*y/17 + 188. Find p, given that i(p) = 0.
-2/15, 2/3
Let j be (-288)/(-12) - 15 - (-2 + 9). Find x such that -j*x - 1/5*x**2 - 5 = 0.
-5
Factor 6/5*q**3 + 0*q**2 - 3/5 - 6/5*q + 3/5*q**4.
3*(q - 1)*(q + 1)**3/5
Let z(g) be the second derivative of 12*g - 2/5*g**6 + 27/20*g**5 + 0*g**2 + 0 - 3/2*g**4 + 1/2*g**3. Factor z(r).
-3*r*(r - 1)**2*(4*r - 1)
Suppose 34 + 14 = -4*b. Let g be (1/3 + 18/b)*-2. Factor 0 + g*o**5 + 0*o**2 + 0*o + 0*o**3 - 2/3*o**4.
o**4*(7*o - 2)/3
Let c(s) be the third derivative of s**10/6048 + s**9/1512 - s**8/448 + s**4/12 + s**2. Let k(u) be the second derivative of c(u). Solve k(x) = 0.
-3, 0, 1
Suppose 5*g = -3*d + 7*g + 18, 5*d - g - 37 = 0. Let n(o) be the first derivative of d + 4/27*o**3 + 2/3*o + 7/9*o**2. Suppose n(q) = 0. Calculate q.
-3, -1/2
Suppose -4*h - 1 = 5*w, 9*h = -5*w + 4*h - 5. Let p be (-8)/(-16) - w/78. Find s such that 4/13*s + p*s**2 + 2/13*s**3 + 0 = 0.
-2, -1, 0
Let h(q) be the third derivative of -q**6/72 + 5*q**4/6 - q**3/6 - 15*q**2. Let t(c) be the first derivative of h(c). Factor t(r).
-5*(r - 2)*(r + 2)
Factor -14 - 59*c + 20*c - 18*c + 144*c**2 - 148*c**2.
-(c + 14)*(4*c + 1)
Let o = 9240 - 9237. Let i = 256/5 - 51. Factor 0 + i*m + 1/5*m**2 - 2/5*m**o.
-m*(m - 1)*(2*m + 1)/5
Factor -1599*h**2 - 3*h**4 - 4394 + 50*h**3 + 7605*h + 0*h**4 + 38*h**3 - 55*h**3 + 86*h**3.
-(h - 13)**3*(3*h - 2)
Let y(f) be the first derivative of 0*f**3 - 11 + 5/6*f**6 + 0*f**2 + 0*f + f**5 - 5/2*f**4. Solve y(b) = 0.
-2, 0, 1
Let j(m) be the third derivative of -m**5/390 - m**4/156 + 147*m**2. What is r in j(r) = 0?
-1, 0
Let t = -168/239 + 1318/1195. Factor -t*z**2 - 3/5 - 7/5*z.
-(z + 3)*(2*z + 1)/5
Factor 36/5*o**2 + 2*o**3 + 38/5*o - 1/5*o**4 + 13/5.
-(o - 13)*(o + 1)**3/5
Let b(m) be the second derivative of 6*m + 4/21*m**4 + 1/35*m**5 + 0*m**2 + 0 + 8/21*m**3. Determine i, given that b(i) = 0.
-2, 0
Let z(r) = r**2 + 8*r - 9. Let a be (-4)/(-18) - 830/90. Let w be z(a). Factor -l**4 - 20*l**5 + w*l**4 + 19*l**5.
-l**4*(l + 1)
Let l(f) be the second derivative of -1/5*f**5 + 0 + 0*f**3 + 1/3*f**4 + 0*f**2 - 5*f. Factor l(a).
-4*a**2*(a - 1)
Suppose -i - 8 = -v, -5*v + 0*i = -3*i - 40. Let k be (48/4)/(v/12). Let 3*t**3 - 3 - 3*t - 31*t**2 + k*t**2 + 16*t**2 = 0. Calculate t.
-1, 1
What is r in 4/15*r**3 - 2/15*r**5 - 4/15*r**4 - 2/15*r + 8/15*r**2 - 4/15 = 0?
-2, -1, 1
Let s(m) be the first derivative of -2/5*m**3 + 1/40*m**4 + 2/25*m**5 - 9 - 11/20*m**2 - 1/5*m. Find z, given that s(z) = 0.
-1, -1/4, 2
Let c(a) = 25*a**3 + 14*a**2 - 100*a - 36. Let s(b) = b + 1. Let j be s(2). Let q(w) = 25*w**3 + 13*w**2 - 100*w - 37. Let v(y) = j*c(y) - 4*q(y). Factor v(p).
-5*(p - 2)*(p + 2)*(5*p + 2)
Let q(i) be the first derivative of 1/2*i**2 - 2 + 0*i + 0*i**3 - 1/2*i**4 + 1/6*i**6 + 0*i**5. Suppose q(y) = 0. Calculate y.
-1, 0, 1
Let n(s) be the first derivative of -2*s**3/15 - 2*s**2/5 - 2*s/5 + 66. Factor n(v).
-2*(v + 1)**2/5
Suppose 0 = -s - s + 58. Let c = -201/7 + s. Find d such that 2/7*d**2 + 0 - 2/7*d**3 - c*d**4 + 2/7*d = 0.
-1, 0, 1
Let b = -1741 + 73127/42. Let z(x) be the second derivative of 3*x + b*x**7 - 1/3*x**6 + 0*x**2 + 0*x**5 - 5/6*x**3 + 5/6*x**4 + 0. Factor z(w).
5*w*(w - 1)**3*(w + 1)
Let b(g) be the third derivative of -g**7/630 + g**6/120 - g**5/60 + g**4/72 + 107*g**2. Let b(o) = 0. Calculate o.
0, 1
Let s(x) be the second derivative of 1/120*x**5 + 0*x**3 + 1/180*x**6 - 1/252*x**7 + 0 + 0*x**2 - 11*x - 1/72*x**4. What is j in s(j) = 0?
-1, 0, 1
Let h(r) = 12*r**2 - 88*r - 58. Let p(l) = -2. Let v(s) = -h(s) - 3*p(s). Factor v(i).
-4*(i - 8)*(3*i + 2)
Factor 2*q**2 - 22*q**4 - 6*q**3 + 16*q + 14*q**2 + 2*q**3 - 16 + 19*q**4.
-(q - 2)*(q + 2)**2*(3*q - 2)
Let q = -13729/3 - -4577. Let -2/3 + q*d**2 + 1/3*d - 1/3*d**3 = 0. Calculate d.
-1, 1, 2
Let g(u) = -u - 8. Let l be g(-14). Let r(h) = 23*h**3 + 23*h**2 - 13*h + 13. Let v(a) = 11*a**3 + 11*a**2 - 6*a + 6. Let q(i) = l*r(i) - 13*v(i). Factor q(o).
-5*o**2*(o + 1)
Let a be (7 + -8 + 4)*15/9. Find y, given that -12 + a*y**2 + y + 4*y**2 - 13*y**2 + 15*y = 0.
1, 3
Determine u so that 20/3*u - 16 + 2/3*u**2 = 0.
-12, 2
Let w(l) be the first derivative of -l**3 + 261*l**2 - 22707*l - 255. Factor w(g).
-3*(g - 87)**2
Let o(j) = -9*j**3 + 98*j**2 - 152*j + 80. Let q(i) = -3*i**3 + 33*i**2 - 51*i + 27. Let g(v) = -6*o(v) + 17*q(v). Factor g(u).
3*(u - 7)*(u - 1)**2
Let o(y) be the second derivative of -y**6/30 - 11*y**5/10 - 35*y**4/3 - 100*y**3/3 - 299*y. Find q such that o(q) = 0.
-10, -2, 0
Let h = -327/17 + 3631/187. What is b in -2/11 - 2/11*b**3 + 2/11*b + h*b**2 = 0?
-1, 1
Factor 2/7*a**5 - 8/7*a**2 - 8/7*a**4 + 2/7*a + 12/7*a**3 + 0.
2*a*(a - 1)**4/7
Suppose 18*n - 22*n = 60*n - 128. Factor -12/5*t**3 + 0*t - 6/5*t**4 + 6/5*t**5 + 0 + 0*t**n.
6*t**3*(t - 2)*(t + 1)/5
Let o(t) = -t**2 + t - 1. Let y(u) = 2*u**4 + 160*u**3 + 3214*u**2 - 14*u + 14. Let c(h) = 28*o(h) + 2*y(h). Factor c(k).
4*k**2*(k + 40)**2
Let q(l) be the third derivative of l**6/420 - 2*l**5/105 - l**4/84 + 4*l**3/21 - 34*l**2 + 4*l. Determine r, given that q(r) = 0.
-1, 1, 4
Let f(h) be the second derivative of -10*h**7/231 - h**6/15 - h**5/110 + 2*h + 25. Find c such that f(c) = 0.
-1, -1/10, 0
Let t = -2379 + 2381. Determine o so that -8/7*o + 1/7*o**t + 16/7 = 0.
4
Let -10/3*k + 4/9*k**3 - k**2 + 8/9 = 0. What is k?
-2, 1/4, 4
Let p(b) be the first derivative of b**5/10 - b**4/3 - 9*b + 33. Let s(c) be the first derivative of p(c). Factor s(t).
2*t**2*(t - 2)
Let m(z) = z**3 + 37*z**2 + 505*z + 2199. Let b(v) = 3*v**3 + 110*v**2 + 1514*v + 6598. Let f(r) = -6*b(r) + 21*m(r). Let f(w) = 0. What is w?
-13
Let w(x) be the third derivative of x**8/112 - 11*x**7/70 + 27*x**6/40 - 5*x**5/4 + x**4 - x**2 - 171. Determine i, given that w(i) = 0.
0, 1, 8
Let l be (-12)/(-4) - (-1 - -1). Factor -6*t**2 + 3*t - 6 - 12*t + l*t**2.
-3*(t + 1)*(t + 2)
Let v(z) be the third derivative of -1/1260*z**7 + 15*z**2 + 1/144*z**6 + 0*z - 1/18*z**3 + 7/144*z**4 - 1/40*z**5 + 0. Factor v(x).
-(x - 2)*(x - 1)**3/6
Let x(p) be the third derivative of p**7/315 + p**6/36 + 4*p**5/45 + p**4/9 + p**2 - 38. Let x(b) = 0. What is b?
-2, -1, 0
Suppose 0 = 3*m - 25 - 2. Let b = -7 + m. Find t such that -18 - 13*t - 3*t**2 + 0*t**2 + t + t**b = 0.
-3
Let f(d) be the first derivative of d**4/78 - d**3/13 + 2*d**2/13 + 10*d + 8. Let i(t) be the first derivative of f(t). Factor i(b).
2*(b - 2)*(b - 1)/13
Let m(o) be the third derivative of -4/3*o**3 + 0 - 1/10*o**6 + 1/2*o**4 + 1/15*o**5 - 13*o**2 + 2/105*o**7 + 0*o. Let m(v) = 0. What is v?
-1, 1, 2
Let y(r) = r**4 + 4*r**3 + 3*r**2 - 4*r. Let j(l) = -l**4 - 3*l**3 - 4*l**2 + 3*l. Let i(x) = -4*j(x) - 5*y(x). Find m, given that i(m) = 0.
-8, -1, 0, 1
Let z(d) = 4*d**4 + 2*d**3 - 3*d**2 + 9*d**2 - 5*d**4 + 3*d**3. Let m(x) = -x**3 - x**2. Let a be 1 + 2 + -2 + 20. Let h(l) = a*m(l) + 3*z(l). Factor h(n).
-3*n**2*(n + 1)**2
Suppose -4 = -5*k - 3*c + 7, 2*k - 4 = -c. Let v be 266/21 - k/(-3). Factor -g + 5*g