 259*t**2. Factor u(r).
3*(r - 1)*(r + 1)*(r + 6)/5
Let j(a) be the second derivative of -a**7/5880 - 11*a**3/6 + 9*a. Let z(y) be the second derivative of j(y). Factor z(p).
-p**3/7
Let j(a) be the second derivative of a**4/42 + a**3/7 + 2*a**2/7 + 87*a. Factor j(p).
2*(p + 1)*(p + 2)/7
Factor -52*c + 12*c**4 + 15*c**2 - 6*c**4 - 16 - 8*c**3 - 65*c**2.
2*(c - 4)*(c + 1)**2*(3*c + 2)
Suppose -3*u - 15 = -8*u. Let 13 - 27*c**2 - 5*c**2 + 4*c**u + 80*c - 77 = 0. What is c?
2, 4
Let h(r) be the first derivative of r**4/24 + 5*r**3/18 + r**2/4 - 3*r/2 - 178. What is p in h(p) = 0?
-3, 1
Let j be 3/(3 - (-3)/(-2)). Suppose 3 = -3*v + j*v, -3*a = 2*v - 15. Factor 7*f + 2*f - a*f - 2*f**3.
-2*f*(f - 1)*(f + 1)
Let p(w) = -144 - 5*w**2 - w**3 + 71 - 3*w + 79. Let h be p(-4). Factor -2/3 + 2/3*b**h - 2/3*b + 2/3*b**3.
2*(b - 1)*(b + 1)**2/3
Suppose 0 = -3*y + 11 - 5. Let d(t) be the third derivative of 0 + 1/6*t**4 + 0*t - 1/10*t**5 + 1/3*t**3 + 7*t**y. Factor d(h).
-2*(h - 1)*(3*h + 1)
Let y(t) = t**2 - 4*t - 21. Let h(o) = -o**2 + 5*o + 22. Let u(n) = 3*h(n) + 4*y(n). Let q be u(6). Find d, given that -2*d**2 + 7 + q*d - 10 - 15 = 0.
3
Factor 3/5 - 21/5*m + 18/5*m**2.
3*(m - 1)*(6*m - 1)/5
Suppose 173 = 28*p + 33. Let a(z) be the second derivative of 1/30*z**6 - 1/18*z**4 + 0 - 1/6*z**2 - z + 1/6*z**3 - 1/30*z**p - 1/126*z**7. Factor a(m).
-(m - 1)**4*(m + 1)/3
Let u(a) = -2*a**2 - 2*a - 2. Let t(h) = -h**2 - 3*h. Let r(o) = -6*t(o) + 4*u(o). Suppose r(v) = 0. What is v?
1, 4
Let w(d) = 4*d + 15. Let n be w(-3). Let g(a) be the second derivative of 1/45*a**6 - 1/18*a**4 + 0*a**2 + 0 + 0*a**5 - a + 1/18*a**n - 1/126*a**7. Factor g(u).
-u*(u - 1)**3*(u + 1)/3
Suppose 6*x - 2*x - 44 = 4*v, 2*x = -v + 10. Factor -6*c + x*c + c**2 - 6*c.
c*(c - 5)
Let u be -1 + 5 - (-24)/(-3). Let s(a) = -a**3 - 2*a**2 + 3*a - 6. Let p be s(u). Factor 2*o**3 - 57*o**2 + p*o + 33*o**2 + 2*o**3 + 22*o.
4*o*(o - 3)**2
Suppose -358 = -r - 4*r + 3*v, 0 = 5*r - v - 356. Determine d so that 6 + 2 + 39*d**2 + 34*d**2 + 8*d - r*d**2 = 0.
-2
Let p(v) = v**3 + v**2 - 1. Let b(a) = -9*a**3 - 20*a**2 + 7*a + 16. Let k = 22 - 21. Let y(h) = k*b(h) + 6*p(h). Suppose y(q) = 0. Calculate q.
-5, -2/3, 1
Let w(m) = m**2 + 14*m + 13. Let a(v) = 2*v**2 + 22*v + 20. Let l(i) = 5*a(i) - 8*w(i). Factor l(n).
2*(n - 2)*(n + 1)
Suppose -5*s = -21 - 79. Factor -17*m**3 - s*m**3 + 4*m + 6*m**2 + 39*m**3.
2*m*(m + 1)*(m + 2)
Let r = 66 - 66. Let d(y) be the second derivative of -1/12*y**4 + 1/2*y**2 + 4*y + 0 + r*y**3. Let d(n) = 0. Calculate n.
-1, 1
Let q(g) be the third derivative of 2*g**7/105 + g**6/60 - g**5/6 + g**4/6 - 157*g**2. Determine b, given that q(b) = 0.
-2, 0, 1/2, 1
Let z(c) be the third derivative of -c**6/600 - 209*c**5/300 - 1378*c**4/15 - 5408*c**3/15 + 103*c**2. Factor z(g).
-(g + 1)*(g + 104)**2/5
Let b(c) = -5 + 62*c**2 + 0*c**3 - 17*c**2 - 35*c**3 - 15*c. Let x(f) = -f**4 - 36*f**3 + 45*f**2 - 14*f - 6. Let j(m) = -6*b(m) + 5*x(m). Factor j(w).
-5*w*(w - 4)*(w - 1)**2
Let b(a) be the first derivative of -4 + 2/7*a - 1/21*a**3 + 1/14*a**2. Determine v so that b(v) = 0.
-1, 2
Suppose -58/9*b**2 - 1 + 14/3*b**3 - 13/9*b**4 + 1/9*b**5 + 37/9*b = 0. What is b?
1, 9
Let k(u) = -u**4 + u**3 + u**2 - 1. Let t(v) = 15*v**4 + 72*v**3 + 178*v**2 + 98*v + 21. Let p(q) = 6*k(q) + t(q). Factor p(m).
(m + 3)*(m + 5)*(3*m + 1)**2
Solve -1/9*g**4 + 1/9*g**2 + 1/3*g**3 - 2/9*g + 0 - 1/9*g**5 = 0 for g.
-2, -1, 0, 1
Let d(j) = 2*j**3 + 8*j**2 - 4*j. Let q be (-2)/4*-10*6/(-10). Let f(a) = -3*a**3 - 9*a**2 + 3*a + 1. Let y(w) = q*f(w) - 4*d(w). What is c in y(c) = 0?
1, 3
Let -10/9*z**2 - 4/3*z**3 + 16/3*z + 8 - 2/9*z**4 = 0. What is z?
-3, -2, 2
Suppose 0 = 7*x - 7, -4*n + 3 = 37*x - 34*x. Solve 3/2*d**2 + 15/2*d + n = 0 for d.
-5, 0
Let d = 76/25 + -147/50. Solve 3/5 + d*k**2 - 7/10*k = 0.
1, 6
Suppose 0 = w + 478 - 482. Let k(s) be the second derivative of 8*s + 2/9*s**3 - 2/45*s**6 - 4/3*s**2 - 1/15*s**5 + 1/3*s**w + 0. Let k(a) = 0. Calculate a.
-2, -1, 1
Let v(p) = 2*p**3 + 2*p**2 + 1. Let b(y) = 19*y**3 - 39*y - 11. Let m(r) = b(r) - 9*v(r). Factor m(d).
(d - 20)*(d + 1)**2
Let m(h) be the third derivative of 0*h + 0*h**4 + 11*h**2 + 0 + 0*h**3 - 2/21*h**7 + 3/5*h**6 + 8/15*h**5. What is g in m(g) = 0?
-2/5, 0, 4
Let o(w) be the second derivative of -5/4*w**4 - 6*w**2 - 4*w + 6*w**3 + 0. Solve o(y) = 0.
2/5, 2
Let l(z) be the first derivative of 0*z - 4*z**3 + 12*z**2 - 3/2*z**4 + 3/5*z**5 + 13. Let l(k) = 0. Calculate k.
-2, 0, 2
Let b(r) = -94*r - 1689. Let g be b(-18). Find o such that 3/4 + 9/4*o**2 + 3/4*o**g + 9/4*o = 0.
-1
Let p(y) be the second derivative of -y**6/45 - y**5/6 - 4*y**4/9 - 4*y**3/9 - 65*y. Find c such that p(c) = 0.
-2, -1, 0
Suppose 4*c = -4*u - 8, 0 = 2*c + 8. Determine w, given that -6*w + 4*w**4 + 44*w**3 - 16 - 28*w**3 - 10*w + 12*w**u = 0.
-2, -1, 1
Suppose 0 = 3*i - h - 14, 4*i - 6*i = h - 6. Suppose -5*l + 0*l**2 - i - 4*l**2 + 4*l - 7*l = 0. Calculate l.
-1
Suppose -28/3*j**4 + 112/3*j**2 + 16/3*j + 0 - 49/3*j**5 + 64*j**3 = 0. What is j?
-2, -2/7, 0, 2
Let d(c) be the second derivative of 0 + 0*c**3 + 0*c**2 - 2/35*c**5 - 1/105*c**6 - 20*c - 2/21*c**4. Find w such that d(w) = 0.
-2, 0
Let b = 71 + -59. Determine q so that b*q - 3*q**2 + 12 + 0*q**3 - 7*q**3 + 4*q**3 = 0.
-2, -1, 2
Let h(z) be the second derivative of z**7/280 + z**6/40 - z**4/2 + 13*z**3/3 + 26*z. Let t(i) be the second derivative of h(i). Solve t(m) = 0 for m.
-2, 1
Let b(m) be the second derivative of m**5/130 + 11*m**4/39 + 7*m**3/13 + 532*m. What is g in b(g) = 0?
-21, -1, 0
Factor 4875*d**2 - 14703/2*d + 123/2*d**4 - 3/2*d**5 + 6591/2 - 879*d**3.
-3*(d - 13)**3*(d - 1)**2/2
Find w, given that 0 - 1/2*w**4 + 1/2*w**2 - 1/8*w**5 + 1/2*w - 3/8*w**3 = 0.
-2, -1, 0, 1
Suppose 2*t = q - 1 - 2, 2*t = 0. Let m(n) be the second derivative of 0*n**2 + 0 + 1/210*n**6 + 1/42*n**4 - 3/140*n**5 + 0*n**q + 12*n. Factor m(s).
s**2*(s - 2)*(s - 1)/7
Suppose -14 = -2*t - 6. Let a(p) be the third derivative of t*p**2 - 1/120*p**5 - 1/36*p**3 - 1/48*p**4 - 1/720*p**6 + 0*p + 0. Let a(j) = 0. What is j?
-1
Let z(n) be the second derivative of 9*n**6/40 + 333*n**5/40 + 1117*n**4/16 + 84*n**3 + 81*n**2/2 + n - 748. What is m in z(m) = 0?
-18, -6, -1/3
Let z(g) = 3*g**5 + g**4 + 7*g**3 - 5*g**2 + 2*g. Let w(q) = q**5 + q**3 - q**2 + q. Let m(f) = -4*w(f) + z(f). Let m(p) = 0. What is p?
-1, 0, 1, 2
Let w = -273/2 - -1379/6. Let -22*z**2 - w*z**3 + 6*z + 4/3 = 0. What is z?
-2/7, -1/5, 1/4
Let u(f) = 0*f**2 + f**2 + 3 + 5 - 9 + 2. Let i(g) = g**2 + 2. Let c = -7 - -10. Let r(a) = c*u(a) - 2*i(a). Let r(z) = 0. What is z?
-1, 1
Let g(c) = c**3 - 2*c**2 - 3*c + 3. Let m be g(3). Find l, given that l**3 - 2 - l**2 - 2*l + 6*l + m - 5*l = 0.
-1, 1
Let i(b) be the second derivative of -12 - 2*b - 57/40*b**5 + b**3 - 7/20*b**6 - b**4 + 0*b**2. Suppose i(l) = 0. Calculate l.
-2, -1, 0, 2/7
Suppose 0 = -7*q + 18*q - 55. Factor -2*r**3 + 3*r**4 + r**q - 7*r**4 + 2*r**4 + 9*r + 12*r**2 - 2*r**4.
r*(r - 3)**2*(r + 1)**2
Let g(o) be the first derivative of -7*o**6/900 - 3*o**5/100 - o**4/30 - 7*o**3/3 + 15. Let h(j) be the third derivative of g(j). Suppose h(i) = 0. Calculate i.
-1, -2/7
Let r(f) = -3*f**2 - f + 1. Let y(w) = 14*w**2 + 313*w + 4802. Let v(i) = -3*r(i) - y(i). Factor v(z).
-5*(z + 31)**2
Let c(u) be the first derivative of 26/21*u**3 + 12/7*u**2 + 2/35*u**5 + 50 + 8/7*u + 3/7*u**4. Determine n so that c(n) = 0.
-2, -1
Determine h so that -16/3*h**2 + 16/3 + 4/3*h**3 - 4/3*h = 0.
-1, 1, 4
Let y(u) = 303*u**2 + 3405*u + 9744. Let x(b) = 605*b**2 + 6815*b + 19489. Let d(f) = 3*x(f) - 5*y(f). Suppose d(v) = 0. Calculate v.
-57/10
Solve 2/9*m**4 + 28/9 + 26/9*m - 26/9*m**3 - 10/3*m**2 = 0 for m.
-1, 1, 14
Let -4/3 - 56/3*s**2 + 31/3*s - 16/3*s**3 = 0. Calculate s.
-4, 1/4
Suppose 4*m = -p - 11 + 34, 17 = 4*p + m. What is k in 4*k**p + 6*k + 6*k - 8 + 2*k - 16*k**2 + 6*k = 0?
1, 2
Factor -65*l + 107*l**3 + 52*l + 12 - 106*l**3.
(l - 3)*(l - 1)*(l + 4)
Let c(o) = 7*o**2 + 107*o + 30. Let g be c(-15). Let v(r) be the third derivative of 1/6*r**4 + 0*r**3 + 1/30*r**5 - 1/60*r**6 + 0 + g*r - r**2. Factor v(m).
-2*m*(m - 2)*(m + 1)
Let c(t) be the first derivative of 8*t**6/3 + 84*t**5/5 - 79*t**4 + 284*t**3/