rivative of j(x). Factor m(v).
2*(v + 5)**2/11
Let d(c) = 13*c**2 + 51*c + 44. Let o(x) = 28*x**2 + 103*x + 88. Let j(f) = -13*d(f) + 6*o(f). Suppose j(i) = 0. What is i?
-44, -1
Let q(m) be the second derivative of -m**7/126 + m**6/90 + 7*m**5/30 - 7*m**4/9 - 4*m**3/9 + 16*m**2/3 + 7*m + 8. Find s such that q(s) = 0.
-4, -1, 2
Let c = 528/13 - 40. Determine w so that c*w - 6/13 - 2/13*w**2 = 0.
1, 3
Factor -30*h**2 + 41*h - 1/2*h**4 + 7*h**3 - 35/2.
-(h - 7)*(h - 5)*(h - 1)**2/2
Let a(k) be the first derivative of -3/10*k**2 + 1 + 6/5*k - 1/5*k**3. Factor a(l).
-3*(l - 1)*(l + 2)/5
Let x be (-184)/(-3726)*9/2. Determine k, given that 0*k + 0 + 2/9*k**2 + x*k**3 = 0.
-1, 0
Let r(y) be the third derivative of -y**5/24 - 1385*y**4/24 - 383645*y**3/12 + 35*y**2 + 3*y. Let r(v) = 0. What is v?
-277
Suppose -2/7*l**2 + 12/7*l + 32/7 = 0. What is l?
-2, 8
Let r(j) be the first derivative of 3*j**4/4 + j**3/6 - j**2/4 - 91. Determine h so that r(h) = 0.
-1/2, 0, 1/3
Let q = 38344/16751 - 8/2393. Find c, given that -18/7 + 2/7*c**2 + q*c = 0.
-9, 1
Let k = -3389 + 3389. Factor 2/3 + k*a**2 + 4/3*a**3 - 4/3*a - 2/3*a**4.
-2*(a - 1)**3*(a + 1)/3
Suppose 11*x = 44 + 88. Let a = -57 + 59. Factor -27/2*k**2 + x*k - a.
-(3*k - 2)*(9*k - 2)/2
Let q(w) be the second derivative of 1/30*w**5 + 3*w**3 + 3*w + 0 - 7/2*w**2 - 1/2*w**4. Let a(c) be the first derivative of q(c). Factor a(h).
2*(h - 3)**2
Let i(n) be the first derivative of 14*n**3 + 9/2*n**2 + 57/4*n**4 + 24/5*n**5 + 38 + 0*n. Determine y so that i(y) = 0.
-1, -3/8, 0
Let m(k) be the second derivative of k**5/15 + k**4/2 + 4*k**3/3 - 17*k**2/2 - 17*k. Let j(l) be the first derivative of m(l). Factor j(n).
4*(n + 1)*(n + 2)
Let t(u) be the first derivative of -u**5/5 + 3*u**3 - 2*u**2 - 12*u - 122. Factor t(q).
-(q - 2)**2*(q + 1)*(q + 3)
Let x(i) be the second derivative of 21/4*i**4 - 11/2*i**3 + 0 - i + 3*i**2 - 51/20*i**5 + 1/2*i**6. Factor x(c).
3*(c - 1)**3*(5*c - 2)
Find l such that -2*l**2 + 12/5*l + 2/5*l**3 + 0 = 0.
0, 2, 3
Let y be -6*(-4)/(-16)*-2 - 3. Suppose 2*m = -y*m - 5*h - 9, -m = 3*h + 6. Factor 0*p**4 + 16/7*p**2 + 0 + 54/7*p**5 - 36/7*p**m - 2/7*p.
2*p*(p + 1)*(3*p - 1)**3/7
Let p(m) be the second derivative of m**6/75 - 7*m**5/75 - 7*m**4/90 + 2*m**3/9 + m - 24. What is k in p(k) = 0?
-1, 0, 2/3, 5
Suppose -2*b + d = -2, -8*b = -6*b - 3*d - 6. Let q(v) be the first derivative of -2 - 2/33*v**3 + 1/22*v**4 + b*v - 2/11*v**2. Determine r so that q(r) = 0.
-1, 0, 2
Let r(t) = 170*t**3 - 188*t**2 - 78*t - 26. Let o(x) = 19*x**3 - 21*x**2 - 9*x - 3. Let b(n) = 52*o(n) - 6*r(n). Factor b(w).
-4*w**2*(8*w - 9)
Let v = 51 + 4. Factor 21 + 245*o**3 - 225*o**2 + 33 - 85*o**4 + 19 + v*o - 63.
-5*(o - 1)**3*(17*o + 2)
Let f be ((-11)/286*-13)/210. Let o(d) be the third derivative of -1/14*d**3 + 0*d + 0 - f*d**5 - 1/42*d**4 + 11*d**2. Suppose o(t) = 0. What is t?
-3, -1
Let z = -1 - -10. Let j be (1 + -3)/(-10 + z). Factor 59*s**3 - 60*s**3 + 1 + s**5 - 2*s**j + 2*s**4 - 1.
s**2*(s - 1)*(s + 1)*(s + 2)
Let z = 289 - 289. Let q(s) be the second derivative of 0*s**2 - s - 1/35*s**5 + 1/21*s**6 + 0*s**3 + 0*s**4 + z. Factor q(f).
2*f**3*(5*f - 2)/7
Let a be (-6)/1 - (-189)/28. Let m(w) be the first derivative of 0*w**2 + 1/4*w**3 - 3 - a*w. Let m(c) = 0. What is c?
-1, 1
Factor 1/4*y**4 + 5/4*y**3 + 0 + y + 2*y**2.
y*(y + 1)*(y + 2)**2/4
Let v(g) be the third derivative of -g**9/20160 + g**8/8960 + g**7/3360 - g**6/960 + g**4/3 - g**2. Let j(o) be the second derivative of v(o). Solve j(r) = 0.
-1, 0, 1
Let a(h) be the third derivative of -h**6/240 + h**5/12 - 3*h**4/16 + 2*h**2 - 7. Factor a(m).
-m*(m - 9)*(m - 1)/2
Let l(o) be the first derivative of -2*o**3/33 - 19*o**2/11 - 36*o/11 - 235. Factor l(x).
-2*(x + 1)*(x + 18)/11
Let r(c) be the third derivative of -c**7/140 - 23*c**6/80 + 15*c**5/8 - 77*c**4/16 + 13*c**3/2 - 184*c**2. Factor r(q).
-3*(q - 1)**3*(q + 26)/2
Let w(j) be the first derivative of j**6/3 - 7*j**5/10 - 81*j**4/8 + 67*j**3/6 + 77*j**2/4 - 30*j - 241. Solve w(m) = 0.
-4, -1, 3/4, 1, 5
Factor 5/4*o**2 - 55/2 + 45/4*o.
5*(o - 2)*(o + 11)/4
Let h(f) = f**2 - 8*f - 8. Let t be h(10). Let q = t + -9. Determine u so that 3 - 4*u**q + u**3 - 3 + 6*u**4 = 0.
0, 1/2
Let d = -1472 - -5889/4. Find w, given that -3/4*w**2 - w - d = 0.
-1, -1/3
Factor 9/4*x + 0 + 3/4*x**2.
3*x*(x + 3)/4
Suppose 0 + 24/5*k**4 + 18/5*k**2 + 0*k + 39/5*k**3 + 3/5*k**5 = 0. Calculate k.
-6, -1, 0
Let s(j) be the first derivative of j**4 + 4*j**3/3 - 32*j**2 - 64*j + 82. What is n in s(n) = 0?
-4, -1, 4
Let k(g) = -9*g**2 - 37*g - 4. Let h(t) = -75*t**2 - 297*t - 33. Let n(j) = -4*h(j) + 33*k(j). Let n(f) = 0. What is f?
0, 11
Let d = 1090 - 1089. Let f(j) be the first derivative of -d + 98/15*j**3 - 56/5*j**2 + 32/5*j. Suppose f(q) = 0. Calculate q.
4/7
Let y(k) = -6*k**2 + 3*k - 9. Let j(p) = -p**3 + 7*p**2 + 7*p + 13. Let g be j(8). Let x(h) = -3*h**2 + h - 5. Let b(v) = g*y(v) - 9*x(v). Factor b(t).
-3*t*(t - 2)
Suppose -2*c = 4*v - 76, -v + 2*v - 18 = -c. Factor v*s - 4*s + 0*s**3 + 12*s**3 - 24*s**2 - 2*s**4.
-2*s*(s - 2)**3
Solve -29/3*n**3 + 2/3*n**4 + 0*n + 0 + 1/3*n**5 - 10*n**2 = 0.
-6, -1, 0, 5
Let h(s) be the second derivative of 3/5*s**6 + 0*s**3 + 2*s + 9/5*s**5 + 2*s**4 + 0*s**2 - 14 + 1/14*s**7. Factor h(k).
3*k**2*(k + 2)**3
Suppose 7*y = 13*y. Let r(b) be the third derivative of 0*b + 2*b**2 + y + 1/4*b**4 + 0*b**5 - 2/3*b**3 - 1/60*b**6. Find s, given that r(s) = 0.
-2, 1
Let o(m) = -m**3 + 4*m. Let u be o(-4). Suppose -2*b - b = -u. Suppose -66*n**4 + 9*n**2 + 21*n**3 - b*n + 25*n**3 + 31*n**4 - 4 = 0. Calculate n.
-2/5, -2/7, 1
Let k(r) = -4*r**3 - 7*r + 12. Let t(y) = 3*y**3 + 5*y - 8. Let x = 8 + -3. Let m(q) = x*k(q) + 7*t(q). Let p(b) be the first derivative of m(b). Factor p(s).
3*s**2
Let o = 87247/384 - 1363/6. Let w = o - -703/1664. What is n in -w*n**3 + 4/13*n**2 + 0 + 0*n + 2/13*n**4 = 0?
0, 1, 2
Factor -161312/3 - 2/3*b**2 + 1136/3*b.
-2*(b - 284)**2/3
Let i = -9465 + 9470. Factor -24/7*x**4 + 0 + 0*x**2 + 8/7*x**3 + 0*x - 2*x**i.
-2*x**3*(x + 2)*(7*x - 2)/7
Let q(j) = j**2 + 8*j + 17. Let l be q(-5). Let v = 50 + -99/2. Factor 0 + 0*i + v*i**l.
i**2/2
Let w(o) be the second derivative of 0 - 4*o + 0*o**4 + 2/15*o**5 - 7/2*o**2 + 0*o**3 - 1/30*o**6. Let r(k) be the first derivative of w(k). Factor r(s).
-4*s**2*(s - 2)
Let d(q) be the third derivative of q**5/720 - 35*q**4/288 - q**3/2 + 11*q**2 - 3*q. Let d(p) = 0. What is p?
-1, 36
Suppose 32*t + 5*t - 185 = 0. Solve 1/3*c**2 + 0*c - c**3 + c**4 + 0 - 1/3*c**t = 0 for c.
0, 1
Let w(k) be the first derivative of -12 + 1/6*k**5 + 0*k**2 - 1/36*k**6 + 2/9*k**3 - 1/3*k**4 + 0*k. Factor w(j).
-j**2*(j - 2)**2*(j - 1)/6
Factor 10*p**3 - 55/2*p**2 + 15*p + 0 + 5/2*p**4.
5*p*(p - 1)**2*(p + 6)/2
Let c be 4 + -4*(4 + -3). Let x(m) be the second derivative of -1/9*m**2 + 0 + 0*m**3 + 1/27*m**4 + c*m**5 - 4*m - 1/135*m**6. Factor x(b).
-2*(b - 1)**2*(b + 1)**2/9
Solve -4/9*h**2 + 3*h**3 - 4*h + 1/9*h**5 + 4/3*h**4 + 0 = 0 for h.
-9, -2, 0, 1
Let v(p) be the second derivative of p**5/75 + p**4/30 + p**2 + 11*p. Let r(i) be the first derivative of v(i). Solve r(m) = 0 for m.
-1, 0
Let s = -41 - -41. Suppose 4*c - 12 - 8 = s. What is b in -12*b**c - 3*b**2 + b**2 + 26*b**4 - 2*b**2 + 0*b**3 - 2*b**3 = 0?
-1/3, 0, 1/2, 2
Let v(y) be the first derivative of y**4/3 + 4*y**3 + 18*y**2 - 4*y + 13. Let p(r) be the first derivative of v(r). Suppose p(s) = 0. Calculate s.
-3
Let j(s) be the second derivative of 5*s**6/6 + 7*s**5/4 - 115*s**4/12 + 25*s**3/6 + 15*s**2 + 42*s - 1. Factor j(l).
5*(l - 1)**2*(l + 3)*(5*l + 2)
Let p(s) be the third derivative of s**9/30240 - s**7/5040 + s**4/8 - 14*s**2. Let v(k) be the second derivative of p(k). Determine n so that v(n) = 0.
-1, 0, 1
Let a(q) be the third derivative of -q**8/1344 + 41*q**7/840 - 97*q**6/80 + 1547*q**5/120 - 2873*q**4/96 - 2197*q**3/8 + 3*q**2 + 2*q. Factor a(y).
-(y - 13)**3*(y - 3)*(y + 1)/4
Let g(q) be the third derivative of -2*q**7/105 + q**6/6 + 31*q**5/15 + 43*q**4/6 + 12*q**3 + 2*q**2 + 3*q. Factor g(f).
-4*(f - 9)*(f + 1)**2*(f + 2)
Let k(r) = 3*r**4 - 33*r**3 + 90*r**2 - 75*r. Let c(b) = -15*b**2 - 2 + 14*b**2 + 2. Let s(f) = 15*c(f) - k(f). Suppose s(v) = 0. Calcula