 second derivative of u**7/1400 + u**6/150 + u**5/50 + 13*u**3/6 - 3*u. Let t(r) be the second derivative of p(r). What is q in t(q) = 0?
-2, 0
Suppose 0 = -d - 4*c + 122 - 118, 5*d = -2*c + 20. Solve -m - 3/2*m**2 + 2 + 1/4*m**3 + 1/4*m**d = 0.
-2, 1, 2
Let q = -4020 - -8043/2. Factor -9/2*y - q - 3*y**2 + 3*y**3 + 9/2*y**4 + 3/2*y**5.
3*(y - 1)*(y + 1)**4/2
Let a(o) be the first derivative of 3*o**4/14 + 5*o**3/7 + 3*o**2/14 - 6*o/7 + 70. Factor a(x).
3*(x + 1)*(x + 2)*(2*x - 1)/7
Determine p, given that -4/7*p + 0 - 4/7*p**2 - 1/7*p**3 = 0.
-2, 0
Let j(y) be the first derivative of 0*y**2 - 2/45*y**3 + 2/15*y - 14. Factor j(o).
-2*(o - 1)*(o + 1)/15
Let v = 24051/7 - 3432. Factor 0 - 1/7*u**5 - 8/7*u**4 + v*u + 0*u**2 - 18/7*u**3.
-u*(u - 1)*(u + 3)**3/7
Let w(s) be the first derivative of -108*s + 0*s**3 - 42*s**2 - s**3 + 19 + 24*s**2. Factor w(k).
-3*(k + 6)**2
Let j be (-160)/(-432)*6/5. Suppose -24 = -6*s - 0. Find l, given that 0 - j*l**3 + 0*l**2 + 0*l - 2/9*l**s = 0.
-2, 0
Let s(q) be the first derivative of 5*q**3/2 + 117*q**2/2 - 48*q - 347. Suppose s(t) = 0. Calculate t.
-16, 2/5
Let v(m) = 4*m**2 - 6*m + 2. Let b(h) = 4*h**2 - 7*h + 3. Let u = 13 + -7. Let j(a) = u*b(a) - 5*v(a). Factor j(g).
4*(g - 2)*(g - 1)
Let k(r) = -2*r**3 - 39*r + 31*r + 37*r**2 + 28*r - 17. Let h be k(19). Factor 2/3*x**h - 4/3*x - 2.
2*(x - 3)*(x + 1)/3
Find q, given that -2/9*q**2 + 548/9*q - 37538/9 = 0.
137
Suppose 54 - 75 = -7*p. Find c, given that 8*c + 0 + 1/2*c**p - 4*c**2 = 0.
0, 4
Let n(j) be the second derivative of j**7/420 - j**6/160 + j**5/240 - 4*j**2 + 4*j. Let y(s) be the first derivative of n(s). Solve y(k) = 0 for k.
0, 1/2, 1
Let z be -1 + 0 - (-34)/4*14/35. Find s, given that 16/5 + z*s - 4/5*s**2 = 0.
-1, 4
Factor 5*j**2 - j**2 + 5*j - 7*j**2 + 10*j.
-3*j*(j - 5)
Suppose -5*k - 4*t = -23, t + 2 = 2*t. Factor -24*l**2 - k*l + 2 - 15*l**3 + 4 - 2 + 2.
-3*(l + 1)**2*(5*l - 2)
Let h(g) be the third derivative of 0*g + 1/60*g**5 - 1/6*g**3 - 1/24*g**4 - 3*g**2 + 1/120*g**6 + 0. Find u such that h(u) = 0.
-1, 1
Factor 32*k + 4/3*k**2 + 320/3.
4*(k + 4)*(k + 20)/3
Let k(v) be the second derivative of -27*v**5/4 - 19*v**4/4 - v**3 - 2*v + 54. Find x, given that k(x) = 0.
-2/9, -1/5, 0
Suppose 9*l = 6*l + 12. Let x(z) be the third derivative of 1/108*z**l - 7*z**2 + 0*z**3 + 0 + 0*z**5 + 0*z - 1/540*z**6. Factor x(d).
-2*d*(d - 1)*(d + 1)/9
Solve 6/7*a - 2/7*a**2 + 0 = 0 for a.
0, 3
Let f = 31507/13 - 2407. Factor f*h**4 + 16/13 + 8*h + 268/13*h**2 + 342/13*h**3 + 54/13*h**5.
2*(h + 1)**2*(3*h + 2)**3/13
Let q(h) be the third derivative of h**6/900 + h**5/100 + 7*h**3/2 - 3*h**2. Let g(d) be the first derivative of q(d). Factor g(k).
2*k*(k + 3)/5
Let y(h) be the second derivative of -6*h**2 + 5/6*h**4 - 7*h + 0 - 13/3*h**3. Factor y(g).
2*(g - 3)*(5*g + 2)
Let g(m) be the third derivative of m**5/66 - 7*m**4/66 - m**3/11 + 53*m**2. Let g(x) = 0. What is x?
-1/5, 3
Let h(v) be the first derivative of 3*v**4/16 + v**3 + 9*v**2/8 - 68. Factor h(m).
3*m*(m + 1)*(m + 3)/4
Let x(q) = -6*q**2 - 16*q + 5. Let z(u) = 5*u**2 + 16*u - 4. Let l(p) = -4*x(p) - 5*z(p). Factor l(s).
-s*(s + 16)
Factor 4 - 397*c**3 + 393*c**3 - 36 + 8*c**2 + 16*c.
-4*(c - 2)**2*(c + 2)
Let a(n) be the third derivative of -3*n**7/35 - n**6/3 - 13*n**5/30 - n**4/6 + 278*n**2. Solve a(r) = 0 for r.
-1, -2/9, 0
Let z(x) be the third derivative of -26*x**2 - 5/4*x**4 - 1/60*x**6 + 3/10*x**5 + 0 + 0*x + 7/3*x**3. Factor z(k).
-2*(k - 7)*(k - 1)**2
Factor -36/7 + 24/7*n - 9/7*n**3 + 51/7*n**2.
-3*(n - 6)*(n + 1)*(3*n - 2)/7
Determine q, given that 5/8*q**2 - 1/8*q**4 + 0 + 0*q - 1/2*q**3 = 0.
-5, 0, 1
Let q(b) be the first derivative of -8*b**5/5 + 3*b**4/2 + 6*b**3 + 2*b**2 + 247. Solve q(a) = 0 for a.
-1, -1/4, 0, 2
Let r(g) = -9*g**2 - 15*g - 33. Let p(x) = x**2 + 2*x + 4. Let m be 33/(-4)*(-3)/((-9)/(-12)). Let q(c) = m*p(c) + 4*r(c). Factor q(d).
-3*d*(d - 2)
Let z(w) be the first derivative of w**5/55 + w**4/22 - 7*w**3/33 + 2*w**2/11 + 234. Determine k so that z(k) = 0.
-4, 0, 1
Solve 0 + 1/3*c**2 + 8/3*c = 0 for c.
-8, 0
Suppose -u - 33 + 29 = -3*d, d - 6 = -2*u. Factor -5/3*a + 1/3*a**2 + d.
(a - 3)*(a - 2)/3
Let y be ((-10)/(-25))/(2/30). Suppose 0 = -5*z + 2*j - y, 0*z - 3 = -2*z - j. Factor 0*m - m**3 + z + 7/2*m**4 - 2*m**5 - 1/2*m**2.
-m**2*(m - 1)**2*(4*m + 1)/2
Let d be ((1 + -2 - -1)/(33 + -35))/3. Let -18/11*i**3 - 6/11*i**4 - 6/11*i - 18/11*i**2 + d = 0. Calculate i.
-1, 0
Let d(s) = s**3 - 3*s**2 - s. Let z(y) = -4*y**3 + 49*y**2 - 397*y. Let b(l) = -6*d(l) - 2*z(l). Factor b(o).
2*o*(o - 20)**2
Factor 250 + 28*p + 3*p**2 - 7*p**2 - 250.
-4*p*(p - 7)
Let w(l) = -4*l**2 + l**2 + 2*l**2 - 5 + 9*l. Let a be w(8). Factor -22/9*z**a + 8/9*z**2 + 0 + 4/3*z**4 + 2/9*z.
2*z*(z - 1)**2*(6*z + 1)/9
Let w(l) be the third derivative of -5*l**8/42 - 22*l**7/105 + 4*l**6/15 + 3*l**5/5 + 129*l**2 - 1. Factor w(u).
-4*u**2*(u + 1)**2*(10*u - 9)
Let p(f) be the third derivative of -3/70*f**7 + 0*f**4 + 0*f + 1/20*f**6 + 17*f**2 - 1/60*f**5 + 0*f**3 + 1 + 1/84*f**8. Find v, given that p(v) = 0.
0, 1/4, 1
Let y(l) be the third derivative of -l**7/315 + 143*l**6/90 - 20161*l**5/90 - 1144*l**4 - 2304*l**3 + 402*l**2. Let y(d) = 0. What is d?
-1, 144
Let i(s) be the first derivative of -s**4/6 - 4*s**3/9 + 103. Factor i(x).
-2*x**2*(x + 2)/3
Let k(z) = z**2 - 1. Let q(i) = i**2 + i - 1. Let f(y) = 10*y + 1. Let u(c) = f(c) - 2*q(c). Let m(a) = -3*k(a) - u(a). Solve m(v) = 0.
-8, 0
Let j(w) be the first derivative of 6*w**5/5 - 10*w**4 + 22*w**3/3 + 6*w**2 + 490. Suppose j(t) = 0. Calculate t.
-1/3, 0, 1, 6
Let r(m) be the third derivative of m**6/1020 + 7*m**5/170 - 48*m**2. Factor r(n).
2*n**2*(n + 21)/17
Suppose 5*i = -5*g + 35, -4*i + 5*g - 7 - 10 = 0. What is m in -21*m**i - 27 + 41*m**2 + 18*m - 23*m**2 = 0?
3
Let l = 41 - 39. Let 313 + 35*b**3 - 18*b**l - 80*b - 333 - 7*b**2 = 0. What is b?
-1, -2/7, 2
Let o be 5 - (-1)/(-2)*2. Let m(j) = -j**2 + 4*j. Let s be m(o). Factor 15*v**3 - 3*v**4 + 3*v**2 - 24*v + s*v**4 + 12 - 4*v**5 + v**5.
-3*(v - 1)**3*(v + 2)**2
Suppose 0 = -2*r + 4 + 12. Suppose 5*o + 3*l = 8, -38*o = -35*o - 2*l - 20. Factor 4*u**3 + 0 + 16/3*u + r*u**2 + 2/3*u**o.
2*u*(u + 2)**3/3
Suppose 3*r = -f + 6, 16 = -0*r + 4*r + 4*f. Let c be (-24)/(-45)*r*18/4. Let 0 - 12/5*y**2 + 0*y + c*y**3 - 3/5*y**4 = 0. What is y?
0, 2
Let c(l) be the second derivative of -l**4/54 - 43*l**3/27 - 17*l + 10. Find p such that c(p) = 0.
-43, 0
Let o(x) be the second derivative of -x**4/33 - 17*x**3/33 - 8*x**2/11 - 31*x + 1. Factor o(t).
-2*(t + 8)*(2*t + 1)/11
Let f = 362 + -362. Let p(m) be the first derivative of 2/5*m**5 + 0*m**3 - 1/4*m**4 + 6 + 0*m**2 - 1/6*m**6 + f*m. Determine y, given that p(y) = 0.
0, 1
Let d(p) be the first derivative of 1/15*p**3 + 0*p - 1/25*p**5 + 1/10*p**2 - 1/20*p**4 - 36. Determine c, given that d(c) = 0.
-1, 0, 1
Let f(h) be the third derivative of -h**8/10080 + h**7/2520 - h**5/60 - 3*h**2. Let c(v) be the third derivative of f(v). Let c(j) = 0. Calculate j.
0, 1
Let n(w) be the third derivative of w**6/30 + w**5/5 - 2*w**4/3 - 8*w**3 + 2*w**2 - 1. Let n(l) = 0. What is l?
-3, -2, 2
Suppose 10*z - 9*z + 5 = 0, 51 = -g - 3*z. Let l = -71/2 - g. Factor 1/2*w**4 + w + 0*w**2 - w**3 - l.
(w - 1)**3*(w + 1)/2
Let r(a) be the first derivative of 0*a + 1/10*a**5 + 12 + 0*a**2 + 2/3*a**3 + 5/8*a**4. Factor r(k).
k**2*(k + 1)*(k + 4)/2
Suppose -409*m = -420*m + 44. Let j(y) be the second derivative of 2*y**3 + 12*y**2 + 1/8*y**m + 0 - 12*y. Solve j(n) = 0.
-4
Let s(z) be the second derivative of z**9/4536 - z**8/5040 - z**7/2520 - 3*z**3 - 19*z. Let r(i) be the second derivative of s(i). Let r(a) = 0. Calculate a.
-1/2, 0, 1
Let k(b) = -2*b**2 - 44*b - 230. Let i(a) = -2. Let j(o) = -12*i(o) - 2*k(o). Let j(d) = 0. What is d?
-11
Let p(s) be the third derivative of -s**8/84 - 6*s**7/35 - s**6 - 46*s**5/15 - 11*s**4/2 - 6*s**3 - 38*s**2. Let p(a) = 0. What is a?
-3, -1
Let y(z) be the second derivative of -29791*z**5/30 - 1922*z**4/3 - 496*z**3/3 - 64*z**2/3 - 127*z. Factor y(t).
-2*(31*t + 4)**3/3
Let n(x) = -7*x**2 - 218*x + 6971. Let s(a) = -3*a**2 - 110*a + 3485. Let r(d) = 8*n(d) - 18*s(d). Factor r(p).
-2*(p - 59)**2
Let u(x) be the first deriv