erivative of 0 + 5*v - 1/13*v**4 - 3/13*v**3 - 2/195*v**5 + 3/2*v**2. Let m(s) be the first derivative of t(s). Factor m(k).
-2*(2*k + 3)**2/13
Suppose -x**2 - 9/2 + 11/2*x = 0. Calculate x.
1, 9/2
Let u(k) be the second derivative of 0 - 1/28*k**4 - 9*k + 0*k**2 + 1/7*k**3. Factor u(v).
-3*v*(v - 2)/7
Suppose 51 = -9*c + 15. Let j be c + (14/8)/((-50)/(-120)). Determine a so that 0 + j*a - a**2 = 0.
0, 1/5
Let k be (-2 + 2/1)/(-2). Let j(w) be the second derivative of -2/45*w**6 + 7/60*w**5 - 1/3*w**2 + 1/6*w**4 + k - 7/18*w**3 + 5*w. Solve j(o) = 0.
-1, -1/4, 1, 2
Let l(z) be the second derivative of 0*z**2 + 0 + 21*z - 2/3*z**3 + 2/15*z**6 - 3/5*z**5 + z**4. Solve l(c) = 0 for c.
0, 1
Let d = 4475 - 4473. Solve -1/2*c**d + 0 - 1/2*c = 0 for c.
-1, 0
Let h(p) be the second derivative of -p**6/45 - p**5/30 + p**4/18 + p**3/9 + 91*p. Determine m, given that h(m) = 0.
-1, 0, 1
Let d = 1/2232 + 1487/2232. Factor d*p**4 + 0*p**2 + 0*p - 2*p**3 + 0.
2*p**3*(p - 3)/3
Suppose 0 = -8*f + 18 + 22. Factor 2/7*w**4 + 0*w - 2/7*w**2 - 2/7*w**3 + 2/7*w**f + 0.
2*w**2*(w - 1)*(w + 1)**2/7
Let r = -3 - -5. Factor -4 + r*u**3 - 3*u**3 + 6*u - u**3.
-2*(u - 1)**2*(u + 2)
Let i = 1280 - 1273. Let g(u) be the third derivative of 0 - 1/420*u**7 + 1/48*u**6 - i*u**2 - 3/40*u**5 + 0*u + 7/48*u**4 - 1/6*u**3. Factor g(b).
-(b - 2)*(b - 1)**3/2
Suppose x + 190 = 3*x. Find g, given that 95*g - 30 - 8*g**4 - 289*g**2 - 27*g**4 + 354*g**2 - x*g**3 = 0.
-3, -1, 2/7, 1
Let r(f) = -3*f**2 + 111*f - 198. Let j(c) = c**2 - 27*c + 50. Let q(n) = 15*j(n) + 4*r(n). Factor q(h).
3*(h - 1)*(h + 14)
Let p(i) be the second derivative of -1/110*i**5 + 19*i + 0*i**4 + 0*i**2 + 0 + 1/33*i**3. Suppose p(m) = 0. Calculate m.
-1, 0, 1
Suppose -3*z + 12 = z. Let x be -2*((-87)/66 - (-2)/(-11)). Factor p**3 + 5*p**2 + 2*p**z - p**x - p**2.
2*p**2*(p + 2)
Let b(c) = c**2 + 3*c + 4. Let p be 25/(-10)*(-8)/(-30)*-3. Let w(r) = 6*r**2 + 15*r + 20. Let n(t) = p*w(t) - 11*b(t). Factor n(k).
(k - 4)*(k + 1)
Suppose 0*b + 4 = 3*w - 5*b, -4*b + 32 = 2*w. Suppose 0 = -5*j + 38 - w. Factor 6 + 0 - j*a + 9*a - 3*a**2.
-3*(a - 2)*(a + 1)
Let m(a) be the first derivative of 2*a**3/3 + 37*a**2/2 + 128*a + 49. Let l(x) = 3*x**2 + 56*x + 192. Let z(s) = -5*l(s) + 8*m(s). Let z(h) = 0. Calculate h.
-8
Let d be (10/(-20))/(1/(-6)). Factor 3*u - 3*u + d*u**4 + 0*u - 6*u**2 + 3*u**3.
3*u**2*(u - 1)*(u + 2)
Let x(a) be the third derivative of -a**5/240 + 15*a**4/32 - 11*a**3/6 + 68*a**2 - a. Factor x(b).
-(b - 44)*(b - 1)/4
Let a(h) be the first derivative of 0*h - 1/5*h**5 - 1/5*h**2 - 1/15*h**3 + 2 + 2/5*h**4. Suppose a(s) = 0. Calculate s.
-2/5, 0, 1
Let w = 63 - 55. Let w + 6*h - 3*h**4 + 9*h**2 + 5 - 13 = 0. Calculate h.
-1, 0, 2
Let k(i) be the second derivative of -i**4/138 + 13*i**3/69 + 30*i**2/23 + 466*i. Factor k(m).
-2*(m - 15)*(m + 2)/23
Let v = -17378 - -17380. Factor 4/9*a + 0 - 2/9*a**v.
-2*a*(a - 2)/9
Let s(m) be the third derivative of -175*m**6/24 + 95*m**5/6 - 85*m**4/6 + 20*m**3/3 + 87*m**2. Let s(o) = 0. What is o?
2/7, 2/5
Let k = -3 - -8. Let v = 43 - 47. Let x(y) = 2*y**3 + 6*y**2 + 2*y - 2. Let g(a) = 2*a**3 + 6*a**2 + a - 3. Let h(o) = k*x(o) + v*g(o). Factor h(n).
2*(n + 1)**3
Let u(d) be the first derivative of -d**5/20 - d**4/4 + 23*d**3/6 + d**2/2 - 45*d/4 - 578. Determine l so that u(l) = 0.
-9, -1, 1, 5
Let u(j) be the second derivative of j**5/540 + j**4/216 - j**3/27 - 17*j**2/2 + 11*j. Let r(n) be the first derivative of u(n). Let r(c) = 0. What is c?
-2, 1
Suppose -2*z - 2*z - 16 = 0, -24 = -2*s + 5*z. Suppose 18*p**s - 9*p**2 + 6*p - 6*p**2 = 0. Calculate p.
-2, 0
Let f(k) = 14*k + 94. Let w be f(-6). Let h be (-2)/w + (-44)/(-20) - 2. Suppose -1/6*x**2 + 1/6*x**3 - 1/3*x + h = 0. Calculate x.
-1, 0, 2
Let y(g) be the first derivative of -5*g**4 + 136*g**3/3 - 98*g**2 + 80*g + 98. Factor y(v).
-4*(v - 5)*(v - 1)*(5*v - 4)
Let l(n) = 10*n**4 - 30*n**3 + 20*n**2 + 20*n - 15. Let r(b) = -11*b**4 + 31*b**3 - 21*b**2 - 19*b + 14. Let x(f) = 6*l(f) + 5*r(f). Factor x(y).
5*(y - 4)*(y - 1)**2*(y + 1)
Let s be (-2)/4*0/(-15). Solve -12*h - 50*h**2 - 1 + s + 19 + 52*h**2 = 0.
3
Let t(m) be the first derivative of -m**7/273 + m**5/65 - m**3/39 + 25*m + 16. Let h(n) be the first derivative of t(n). Suppose h(p) = 0. What is p?
-1, 0, 1
Let b(r) be the first derivative of -r**6/270 - 3*r + 10. Let c(h) be the first derivative of b(h). Factor c(f).
-f**4/9
Let f(g) be the first derivative of 3*g**5/20 + g**4 + 2*g**3 - 13*g - 4. Let l(m) be the first derivative of f(m). Determine t so that l(t) = 0.
-2, 0
Suppose -53 = -4*w - 5. Factor -7*i**2 - 27*i + 12 - w*i - 21*i + 34*i**2.
3*(i - 2)*(9*i - 2)
Let b(s) be the third derivative of 1/784*s**8 + 0 - 1/70*s**5 + 22*s**2 + 11/280*s**6 - 3/14*s**4 + 4/7*s**3 + 0*s - 3/245*s**7. Factor b(i).
3*(i - 2)**3*(i - 1)*(i + 1)/7
Let o(m) be the second derivative of -23*m - 1/80*m**5 + 0*m**2 - 1/120*m**6 + 0 + 0*m**4 + 0*m**3. Factor o(r).
-r**3*(r + 1)/4
Let y(a) be the first derivative of -a**7/560 - a**6/80 - a**5/32 - a**4/32 + a**2 - 7. Let d(q) be the second derivative of y(q). Factor d(j).
-3*j*(j + 1)**2*(j + 2)/8
Let l(u) be the second derivative of 0 - 28*u + 1/21*u**7 - 1/5*u**5 + 0*u**2 + 1/3*u**3 + 0*u**6 + 0*u**4. Find r such that l(r) = 0.
-1, 0, 1
What is f in 4/7*f**4 + 20/7*f**3 - 4/7*f**5 - 16/7*f - 20/7*f**2 + 16/7 = 0?
-2, -1, 1, 2
Let m be ((-5)/15)/(8/(-132)) - 4. Factor -3/4 + 3/2*s**3 + 3/4*s**4 + 0*s**2 - m*s.
3*(s - 1)*(s + 1)**3/4
Let o(s) be the second derivative of 3*s - 1/8*s**4 + 0 + 1/8*s**3 + 3/80*s**5 + 0*s**2. What is m in o(m) = 0?
0, 1
Let j(v) be the second derivative of v**8/560 + v**7/70 + 7*v**3/6 + 19*v. Let o(c) be the second derivative of j(c). Suppose o(b) = 0. Calculate b.
-4, 0
Let o = -62 + 129. Let v = 269/4 - o. Suppose 1/4*t**3 - 1/4 + 1/4*t**2 - v*t = 0. Calculate t.
-1, 1
Let w(c) = 2*c**2 - c + 1. Let q(z) = -5*z**4 + 170*z**3 - 1597*z**2 + 2716*z - 1276. Let f(n) = q(n) - 4*w(n). Factor f(r).
-5*(r - 16)**2*(r - 1)**2
Let q be (15/9 - -1)*(-21)/(-140). Let a be (4/40)/(2/8). Factor q*u**2 + 0 - a*u.
2*u*(u - 1)/5
Let d(f) = f**2 - f + 1. Let x(i) = -2*i**2 - 4*i + 1. Let k(z) = 5*d(z) + x(z). Factor k(q).
3*(q - 2)*(q - 1)
Let v(i) = -i**2 + 5. Let k be v(-4). Let n = k + 11. Factor -3*f**3 - 40*f + n + 24*f + f**3 - 10*f**2 - 8.
-2*(f + 1)*(f + 2)**2
Factor 65*j - j**3 + 6 - 155*j**2 + 186*j**2 + 27.
-(j - 33)*(j + 1)**2
Let l(a) be the first derivative of 0*a + 2/3*a**3 + 37 + 0*a**2. Factor l(o).
2*o**2
Let f be 4/(-14)*56/(-8). Factor 27*l**2 - 9 + 0 - 30*l**f + 12*l.
-3*(l - 3)*(l - 1)
Let o = 29 - 15. Suppose -p = 2*m + 2*m - 11, 2*p - 10 = -2*m. Factor p*j**2 + o*j**3 - 6 + 5*j**2 + 17*j**2 + 2*j - 3*j**2.
2*(j + 1)**2*(7*j - 3)
Let r be (-2)/3*-7*(-40)/(-256). Let g(d) be the second derivative of 3/40*d**6 - 1/2*d**2 + 5*d + 0 + 9/20*d**5 + r*d**4 - 1/6*d**3. Let g(s) = 0. What is s?
-2, -1/3, 1/3
Let c(u) be the third derivative of u**8/80640 - u**7/2520 + u**6/240 + u**5/20 - 3*u**4/8 - u**2 - 10*u. Let s(k) be the third derivative of c(k). Factor s(m).
(m - 6)*(m - 2)/4
Let i(b) = 12*b**2 - 8*b + 8. Let t(a) = 200*a - a**2 - 200*a. Let z(v) = i(v) + 10*t(v). Find r such that z(r) = 0.
2
Suppose -15 + 9 = -2*s. Factor -4*t - t**3 + 6*t + 0*t**s - t.
-t*(t - 1)*(t + 1)
Let f(t) = t**3 - 2*t**2 + t. Let r be f(2). Factor -5*n - 8*n**3 + 43*n**3 - 3*n**2 - 27*n**r.
5*n*(n - 1)*(7*n + 1)
Suppose 47 - 9 = 19*n. Let i be 4/(-10) + (-24)/(-10). Suppose 0*y**2 + y**i - 5*y**3 + 4*y**2 - n*y**2 + 2*y = 0. Calculate y.
-2/5, 0, 1
Let l(m) be the first derivative of 8*m**3/9 + 11*m**2/3 + 14*m/3 - 362. Factor l(s).
2*(s + 1)*(4*s + 7)/3
Let s(f) be the second derivative of 2*f**6/15 + 23*f**5/10 + 79*f**4/6 + 82*f**3/3 + 24*f**2 + 5*f - 10. Solve s(x) = 0.
-6, -4, -1, -1/2
Let i(d) = -d**3 - 6*d**2 - 2*d - 12. Let m be i(-6). Let w be m - (2 + 10/(-3)). Let -16/3*g**2 - 5/3*g**4 + 17/3*g**3 + w*g + 0 = 0. What is g?
0, 2/5, 1, 2
Suppose -288*c + 281*c = -210. Let q be 3 + 33/(-15) - 24/c. Factor q + 0*i + 0*i**2 + 2/9*i**4 - 2/9*i**3.
2*i**3*(i - 1)/9
Suppose 5 = -5*a - 2*v + 30, 3*a - 3*v = 15. Suppose a = -2*q + i, -2*i - 20 = -6*i. Determine k so that -1/3*k**2 + q + 0*k + 1/3*k**3 =