f 1/21*w**4 + z*w**2 - 2*w - 1/140*w**5 + 0 - 2/21*w**3. Solve n(o) = 0.
0, 2
Let m(w) = -w**2 + 26*w. Let a(c) = c**2 - 24*c. Let t(x) = -6*a(x) - 5*m(x). Factor t(h).
-h*(h - 14)
Suppose -4*h = m - 48, -52 = -2*m - 2*h + 5*h. Find t, given that -48*t - 2*t**2 - m + 224 + 5*t**2 = 0.
8
Let f(d) = d**2 - 4*d - 97. Let l be f(12). Let q be 12/(-144) + l/(-3). Factor 1/2 - q*j**2 - 1/4*j.
-(j - 1)*(j + 2)/4
Let b = -67 - -117. Let t be 30/(-135) + b/63. Factor 0 + 0*r + t*r**2 - 22/7*r**3.
-2*r**2*(11*r - 2)/7
Let f(i) be the first derivative of -19 - 29/15*i**3 + 39/10*i**2 + 9/5*i + 1/4*i**4. What is z in f(z) = 0?
-1/5, 3
Factor -175/4*c + 15*c**2 - 15/4.
5*(c - 3)*(12*c + 1)/4
Suppose -32 = -4*f + 3*f. Factor -16*d**3 + 22*d**4 - f - 48*d**2 - 39*d**4 + 15*d**4 - 64*d.
-2*(d + 2)**4
Factor -28/19*f + 0 + 30/19*f**2 - 2/19*f**3.
-2*f*(f - 14)*(f - 1)/19
Let h(y) be the first derivative of 0*y**2 + 2/27*y**3 + 0*y + 21 + 1/18*y**4. What is s in h(s) = 0?
-1, 0
Let n(r) be the third derivative of r**7/42 + r**6/8 + r**5/4 + 5*r**4/24 - 3*r**2 - 12*r. Factor n(u).
5*u*(u + 1)**3
Let w be (1206/(-1407))/(5/7*-1). Factor w + 21/5*g - 27/5*g**2.
-3*(g - 1)*(9*g + 2)/5
Let c = 564 + -561. Let w(z) be the first derivative of 2/5*z + 3/10*z**2 + 1/15*z**c + 3. Let w(r) = 0. Calculate r.
-2, -1
Let v = 137/346 - -18/173. Factor -o + v*o**4 + o**3 - 1/2 + 0*o**2.
(o - 1)*(o + 1)**3/2
Let i(c) be the second derivative of -c**6/120 - c**5/40 + c**4/48 + c**3/12 - 45*c. Determine r so that i(r) = 0.
-2, -1, 0, 1
Let b = 1025 + -1023. Let i(f) be the first derivative of -1/6*f**3 - 7 + 2*f - 3/4*f**b. Factor i(r).
-(r - 1)*(r + 4)/2
Let g(b) be the second derivative of -b**2 + 1/4*b**5 + 0 + b + 7/6*b**3 - 3/4*b**4 - 1/30*b**6. Let g(c) = 0. What is c?
1, 2
Let i be (20/(-14) + 2)/((-41)/((-1107)/12)). Factor -1/7 + 17/7*h**2 + h + i*h**3.
(h + 1)**2*(9*h - 1)/7
Let v(j) be the first derivative of 25*j**6/4 + 15*j**5 + 45*j**4/4 + 4*j**3 + 3*j**2/4 + 13*j - 12. Let i(n) be the first derivative of v(n). Factor i(o).
3*(o + 1)*(5*o + 1)**3/2
Let q(a) = a**3 - 17*a**2 + 35*a - 11. Let r(z) = -z**3 + 18*z**2 - 36*z + 13. Let m(x) = -3*q(x) - 4*r(x). Factor m(k).
(k - 19)*(k - 1)**2
Let -2/3*i**2 + 2/3 - 2/9*i**3 + 2/9*i = 0. Calculate i.
-3, -1, 1
Let c = 9 + -4. Let g(l) = -7*l**4 + 5*l**3 + 17*l**2 - 16*l + 1. Let t(j) = -20*j**4 + 14*j**3 + 50*j**2 - 48*j + 4. Let m(r) = c*t(r) - 14*g(r). Factor m(i).
-2*(i - 1)**3*(i + 3)
Determine f, given that -5 - 63105*f**2 + 63106*f**2 + f - 1 = 0.
-3, 2
Let i = 2155/4358 - -12/2179. Determine z, given that 0*z**2 + i*z**5 + 2*z**4 + 0 + 0*z + 3/2*z**3 = 0.
-3, -1, 0
Let f(o) be the third derivative of -o**5/60 - 13*o**4/6 - 120*o**2. Factor f(l).
-l*(l + 52)
Suppose 2*r - 1 = q - 3*r, 3*q + 2*r = 14. Let k(l) be the first derivative of -1/2*l**3 - 3/4*l**2 + 3/10*l**5 + 3/8*l**q + 0*l - 10. Solve k(g) = 0 for g.
-1, 0, 1
Let z = -2/387 - -260/387. Let v(s) be the first derivative of -s**2 + 5 - z*s**3 - 1/6*s**4 - 2/3*s. Solve v(w) = 0 for w.
-1
Let t be 3/(-3 - 1 - -7)*0. Let x(p) be the third derivative of 0*p + 3*p**2 + 1/42*p**4 - 2/21*p**3 + t - 1/420*p**5. Factor x(o).
-(o - 2)**2/7
Determine g, given that 0 - 4*g - 1/2*g**4 - 6*g**2 - 3*g**3 = 0.
-2, 0
Let v(y) be the third derivative of y**6/420 - 19*y**5/70 + 261*y**4/28 + 841*y**3/21 - 3*y**2 + 17. Suppose v(j) = 0. What is j?
-1, 29
Let s(f) be the third derivative of 0 - 42*f**2 + 1/18*f**4 + 1/270*f**5 + 0*f + 5/27*f**3. Factor s(l).
2*(l + 1)*(l + 5)/9
Let v be ((-32)/(-56))/((-2)/(-7)). Determine j, given that -507*j**v - 12 - 29*j - 82*j - 45*j = 0.
-2/13
Suppose -34*q = -38*q + 20. Let x(o) be the third derivative of 0*o**4 - 1/420*o**6 + 4/21*o**3 - o**2 + 0*o - 1/70*o**q + 0. Find m such that x(m) = 0.
-2, 1
Let l(v) be the third derivative of -v**5/390 + 5*v**4/78 - 7*v**3/13 - 2*v**2 + 6. Factor l(a).
-2*(a - 7)*(a - 3)/13
Let -30*w**4 - 14/5*w**5 + 432/5*w - 128/5 + 152/5*w**2 - 292/5*w**3 = 0. Calculate w.
-8, -2, 2/7, 1
Suppose -23 = 12*b - 23. Let z(y) be the third derivative of -2*y**2 + 1/195*y**5 - 2/39*y**3 - 1/780*y**6 + 0*y + 1/156*y**4 + b. Solve z(k) = 0.
-1, 1, 2
Let k(a) be the second derivative of 2*a**7/21 + 24*a**6/5 + 389*a**5/5 + 1186*a**4/3 + 896*a**3 + 1024*a**2 + 47*a + 1. Find u such that k(u) = 0.
-16, -2, -1
Let b(y) be the first derivative of y**3/9 + y**2/6 + 28. What is i in b(i) = 0?
-1, 0
Suppose 0 = 3*t - 8 - 1. Suppose p + 3*p + x = 41, 4*p = -t*x + 51. Let -12*a - 3*a**4 + 12*a**3 + 3 + 0 + p - 9*a**2 = 0. Calculate a.
-1, 1, 2
Let z(c) = 2*c + 4. Let y be z(-5). Let h(v) = -v**3 - 3*v**2 + 18*v + 2. Let n be h(y). Factor -3/5*q**n + 0 + 3/5*q.
-3*q*(q - 1)/5
Factor -93*l - 4*l - 17 - 36*l**2 + 13*l + 4*l**3 - 27.
4*(l - 11)*(l + 1)**2
Solve -2*t**4 + 2*t**3 + 18*t**3 + 6*t**3 - 10*t**3 = 0 for t.
0, 8
Let 0*y**2 + 3/2*y**3 + 1/4*y**5 + 0 + 0*y + 5/4*y**4 = 0. Calculate y.
-3, -2, 0
Let i(s) be the third derivative of s**6/40 - s**5/4 + 3*s**4/4 + 31*s**2 + 2. Factor i(o).
3*o*(o - 3)*(o - 2)
Let t = 3/1114 - -2219/3342. Solve 0 - t*d + 2/9*d**2 = 0 for d.
0, 3
Let c = 28 - 24. Let i be c/(-3*(-4)/18). Factor -i + 6*d**2 + 3*d**2 + 4*d - 7*d**2.
2*(d - 1)*(d + 3)
Let k(c) = -c**3 + 8*c**2 + c - 5. Let m be k(8). Let i be ((-28)/70)/((-2)/15). Factor -5*r**i + 7*r + 10*r**m + 2*r**4 - 2 - 3*r**4 - 9*r**2.
-(r - 2)*(r - 1)**3
Let f(u) be the first derivative of u**2 + 4/3*u**3 + 15 - u**4 - 2/5*u**5 - 2*u + 1/3*u**6. Factor f(y).
2*(y - 1)**3*(y + 1)**2
Let k(j) = -7*j - 23. Let w be k(-4). Suppose 3*l + 12 = -2*o, w*o + 4*l + 12 + 4 = 0. Factor -2/19*a**4 - 2/19*a**3 + 2/19*a**2 + o + 2/19*a.
-2*a*(a - 1)*(a + 1)**2/19
Let x = -1707 + 1711. Let g(b) be the second derivative of 0*b**2 + 1/15*b**3 - 7/100*b**5 - 6*b + 1/12*b**x + 0. Find l such that g(l) = 0.
-2/7, 0, 1
Suppose 0 = z - v - 3, 4*z + 0*v = 3*v + 12. Suppose -8 = -0*q - 4*q - 2*k, -z*k - 3 = q. Suppose 12*x - 2 - 3*x + q*x + 20 + 2*x**2 = 0. Calculate x.
-3
Let z = 65/147 - 2/147. What is v in 0 - 6/7*v + z*v**2 = 0?
0, 2
Let c(k) be the third derivative of k**10/25200 + 11*k**9/30240 - k**8/2520 - 2*k**5/15 - 4*k**2. Let l(a) be the third derivative of c(a). Factor l(n).
2*n**2*(n + 4)*(3*n - 1)
Let m(q) be the first derivative of 0*q**2 + 1/6*q**3 - 1/2*q + 11. Factor m(u).
(u - 1)*(u + 1)/2
Suppose 0 = -3*d + 12 - 3. Factor 12 + d*z**2 + 14*z + 23*z + 17*z**2 + 27*z.
4*(z + 3)*(5*z + 1)
Let a = -16 + 18. Factor -h**a - 9*h**3 + 4*h**2 + 10*h**4 - h**4 - 3*h**5.
-3*h**2*(h - 1)**3
Factor -3/2*d**4 + 1083/2*d - 111/2*d**3 + 0 - 969/2*d**2.
-3*d*(d - 1)*(d + 19)**2/2
Let c(r) be the second derivative of r**8/1680 - r**6/300 + r**4/120 + 2*r**2 + 2*r. Let q(n) be the first derivative of c(n). What is a in q(a) = 0?
-1, 0, 1
Solve 0*q**2 - 14/5*q**4 - 4/5*q**3 + 0 - 2*q**5 + 0*q = 0 for q.
-1, -2/5, 0
Let u(w) = -24*w**3 + 628*w**2 + 388*w - 256. Let y(f) = -25*f**3 + 628*f**2 + 387*f - 256. Let b(g) = -5*u(g) + 4*y(g). Factor b(a).
4*(a - 32)*(a + 1)*(5*a - 2)
Let t be -3*33/(-9) - 2. Let v = -7 + t. Let -w - 2*w - 2*w**2 + 0*w + 5*w**v = 0. Calculate w.
0, 1
Let u(z) be the first derivative of -6/5*z - 21/10*z**4 - 1/10*z**6 - 16/5*z**3 - 27/10*z**2 - 18/25*z**5 + 1. Factor u(v).
-3*(v + 1)**4*(v + 2)/5
Suppose -m - 4*z + 4 = 0, -12*z = -17*z. Let q(f) be the second derivative of 0 - 7*f - 2/3*f**4 + 2/3*f**3 + m*f**2 - 1/5*f**5. Factor q(l).
-4*(l - 1)*(l + 1)*(l + 2)
Let v = 148 - 124. Let 64*i**2 + 2129*i + 4*i**5 - 2093*i + 8 + 56*i**3 + 0*i**5 + v*i**4 = 0. Calculate i.
-2, -1
Let r(u) be the third derivative of -u**7/2310 - 7*u**6/440 - 19*u**5/330 - 2*u**2 - 391. Find k such that r(k) = 0.
-19, -2, 0
Let s(w) be the second derivative of 15*w**7/14 - 7*w**6/2 + w**5 + 5*w**4/3 - 263*w. Find j, given that s(j) = 0.
-1/3, 0, 2/3, 2
Let g(p) be the third derivative of p**5/180 + p**4/36 - 5*p**3/6 - 34*p**2 + 2. Factor g(t).
(t - 3)*(t + 5)/3
Suppose 4*n + 258 = 2*d, 127 = 4*d - 3*d - 3*n. Let o = d + -130. Solve -1/7*y**2 + 0 - 2/7*y + 1/7*y**o = 0 for y.
-1, 0, 2
Let n(p) be the second derivative of -3*p**5/20 + 3*p**4/4 + 8*p**3 + 18*p**2 + 9*p - 5. What is z in n(z) = 0?
-2, -1, 6
Let z(l) be the first derivative of -2*l**3/21 + 2*l**2 - 26*l