e first derivative of -r**5/5 + 9*r**4/4 - 10*r**3 + 22*r**2 - 24*r + 85. Let y(f) = 0. What is f?
2, 3
Let q be (6/(-10))/((-14)/1610). Let z = 207 - q. What is a in 8 + 140*a**3 - 7*a + 50*a**4 + z*a**2 + 23*a + 45*a - 5*a = 0?
-1, -2/5
Suppose 12/5 + 3/5*d**2 + 3*d = 0. What is d?
-4, -1
Let o(i) be the second derivative of i**5/2 - 25*i**4/4 - 235*i**3/6 - 75*i**2 - 389*i. Factor o(m).
5*(m - 10)*(m + 1)*(2*m + 3)
Suppose -4*k + 0*q - q + 8 = 0, -3*q = -3*k + 6. Find a such that -5*a - 13 + 3 + 6*a**k - a**2 = 0.
-1, 2
Let w = 251 - 247. Let i(c) = -45*c - 2. Let a be i(-2). Solve 140*y**3 - 31*y + 28*y - 10*y**w + a*y**2 + 19*y + 60*y**4 = 0 for y.
-2, -2/5, 0
Let n(k) = -k**5 - 11*k**4 - 14*k**3 - 12*k**2 + 4*k. Let d(c) = -c**5 - 10*c**4 - 14*c**3 - 11*c**2 + 3*c. Let v(o) = 4*d(o) - 3*n(o). Factor v(h).
-h**2*(h + 1)*(h + 2)*(h + 4)
Let y(a) be the third derivative of -a**8/4032 + a**7/504 - a**5/10 - 8*a**2. Let h(z) be the third derivative of y(z). Suppose h(c) = 0. Calculate c.
0, 2
Factor 6*m**2 - 2/13*m**3 - 78*m + 338.
-2*(m - 13)**3/13
Suppose 0 - 120/11*f**2 - 98/11*f**4 - 252/11*f**3 - 16/11*f = 0. Calculate f.
-2, -2/7, 0
Let m be ((-44)/16 - 3) + (-2)/8. Let t(z) = 2*z**3 + 10*z**2 - 6. Let r(k) = k**3 + k**2 - 1. Let n(o) = m*r(o) + t(o). Factor n(i).
-4*i**2*(i - 1)
Let b(x) be the first derivative of 2*x**3/33 + 278*x**2/11 + 38642*x/11 - 576. Factor b(f).
2*(f + 139)**2/11
Let u(t) be the second derivative of -t**5/100 + 7*t**4/30 + 49*t**3/30 + 17*t**2/5 + t + 40. Factor u(i).
-(i - 17)*(i + 1)*(i + 2)/5
Let y(n) = -n**2 - 27*n - 55. Let b be y(-25). Let u be 66/90 + (0 - (-2)/b). Factor 0 + u*d**2 + d.
d*(d + 3)/3
Let o(k) be the first derivative of -k**6/9 - 24*k**5/5 - 54*k**4 - 85. Find a, given that o(a) = 0.
-18, 0
Let y = 13 - 9. Suppose 0 = y*l - 15 - 1. What is g in 3*g**5 - 7*g**l + g**4 - 3*g**3 - 11*g**5 + 5*g**3 = 0?
-1, 0, 1/4
Let y(f) be the third derivative of f**5/300 + 53*f**4/24 + 44*f**3/5 + 891*f**2. Let y(w) = 0. What is w?
-264, -1
Let l be 3/(-7) + 2196/2772. Suppose 10/11*t**2 + l*t - 6/11 = 0. What is t?
-1, 3/5
Find v such that 39/4*v + 27 + 3/4*v**2 = 0.
-9, -4
Let q(k) = 25*k**2 + 83*k - 77. Let j(v) = v + 1. Let t(r) = -3*j(r) + q(r). Factor t(l).
5*(l + 4)*(5*l - 4)
Let r(f) be the third derivative of 0*f - 1/42*f**7 - 2*f**2 + 5/6*f**4 + 1/4*f**5 - 1/12*f**6 - 10/3*f**3 + 0. Let r(g) = 0. Calculate g.
-2, 1
Let m(j) = -6*j**2 - j + 2. Let n(p) = 5*p**2 + 13*p - 13. Let q(a) = 5*m(a) + 5*n(a). Factor q(h).
-5*(h - 11)*(h - 1)
Factor 1/3*q**4 - 95/3*q**3 - 193/3*q**2 + 0 - 97/3*q.
q*(q - 97)*(q + 1)**2/3
Suppose -4/3*o**2 + 0 + 1/2*o**3 + 2/3*o + 1/3*o**4 - 1/6*o**5 = 0. Calculate o.
-2, 0, 1, 2
Let x(j) be the first derivative of 0*j**2 + 3/4*j - 1/4*j**3 - 21. Let x(p) = 0. What is p?
-1, 1
Let b(r) be the first derivative of 1/6*r**4 - 4 + 0*r + 1/15*r**5 - 2/3*r**3 - 1/30*r**6 - 7/2*r**2. Let g(v) be the second derivative of b(v). Factor g(h).
-4*(h - 1)**2*(h + 1)
Let a = 1509 + -1506. Find k such that -1/3*k**2 + 0*k + 1/3*k**a + 0 = 0.
0, 1
Suppose -23*k = -8*k. Let y(q) be the second derivative of k + 2*q**2 + 2/3*q**3 - q + 1/12*q**4. Suppose y(t) = 0. What is t?
-2
Let f be -1 + (-8 - (-234)/24). Let h(s) be the third derivative of 0 + 1/8*s**4 + 0*s - s**2 - 1/120*s**5 - f*s**3. Factor h(n).
-(n - 3)**2/2
Let v(g) be the first derivative of g**6/40 + g**5/5 + 5*g**4/8 + g**3 + 27*g**2/2 + 7. Let b(f) be the second derivative of v(f). Factor b(n).
3*(n + 1)**2*(n + 2)
Let s(m) be the second derivative of m**7/21 - 49*m**6/15 + 643*m**5/10 + 893*m**4/6 - 37544*m**3/3 - 109744*m**2 - 5*m. What is g in s(g) = 0?
-4, 19
Let h(v) = 4*v - 6. Let p be h(4). Let x = p + -5. Suppose -12*g**3 + 9*g + 28*g**x - 4 - 2 + 6*g**2 - 25*g**5 = 0. What is g?
-2, -1, 1
Let j(s) = -5*s - 9 + 11 - 3. Let g be j(-1). Factor -5*z + 6*z**3 + 34*z**g - 3*z - 32*z**4.
2*z*(z - 1)*(z + 2)**2
Suppose -4*r = 5*n - 18, -16 = -2*r - 2*r - 4*n. Suppose r*x = -x. Factor 0*u**2 + 3/5*u**5 - 6/5*u**4 + 0*u + x + 3/5*u**3.
3*u**3*(u - 1)**2/5
Suppose -26 - 36 = -r - 3*c, 5*r = -2*c + 284. Factor r*v**4 + 3*v**5 - 2*v**3 - 7*v**3 - 50*v**4.
3*v**3*(v - 1)*(v + 3)
Let f(q) be the first derivative of 3*q**4 + 4*q**3/3 - 6*q**2 - 4*q - 111. Let f(b) = 0. What is b?
-1, -1/3, 1
Let d(b) = -b**3 + 9*b**2 - 14*b + 3. Let k be d(7). Suppose -2 = -k*x + 7*x - 5*u, -3*u + 10 = 2*x. Suppose -9/2*m + 3/2*m**x + 3 = 0. Calculate m.
1, 2
Let g = -8 - -11. Let o(u) = -3*u**3 + 10 - 4*u**2 + 2*u**3 - 5*u**g - 12. Let y(k) = k**3 + 1. Let r(h) = o(h) + 2*y(h). Factor r(j).
-4*j**2*(j + 1)
Let z be ((4/3)/2)/((-28)/(-12)). Let j(y) be the first derivative of -4/7*y**5 - 9/7*y**4 + z*y**2 + 7 + 0*y - 4/7*y**3. Solve j(b) = 0 for b.
-1, 0, 1/5
Suppose -362*j + 173*j + 32 = -173*j. Suppose i**3 - 1/2*i**j + 0 + 0*i - 1/2*i**4 = 0. Calculate i.
0, 1
Let u(v) = -23*v**2 - 157*v - 199. Let x(d) = -11*d**2 - 79*d - 98. Let j(y) = -6*u(y) + 13*x(y). Factor j(h).
-5*(h + 1)*(h + 16)
Let s(a) be the third derivative of a**7/2310 + a**6/165 + a**5/30 + a**4/11 + 3*a**3/22 + 6*a**2 - 10*a. Factor s(b).
(b + 1)**2*(b + 3)**2/11
Let p(o) be the first derivative of -o**4/28 + 3*o**3/7 + 126. Determine j so that p(j) = 0.
0, 9
Let v(d) be the first derivative of 6*d + 1 + 1/10*d**5 - 2/3*d**4 + 5/3*d**3 - 2*d**2. Let w(u) be the first derivative of v(u). Suppose w(f) = 0. What is f?
1, 2
Let k(c) be the third derivative of c**7/210 - c**6/90 + 13*c**3/6 + 8*c**2. Let j(p) be the first derivative of k(p). Factor j(n).
4*n**2*(n - 1)
Let l(p) be the third derivative of -p**7/504 - p**6/144 - p**4/12 - 5*p**2. Let r(a) be the second derivative of l(a). Factor r(q).
-5*q*(q + 1)
Let l(q) = 15*q**4 - 43*q**2 + 17*q + 34. Let f(p) = 5*p**4 - 14*p**2 + 6*p + 12. Let g(a) = -17*f(a) + 6*l(a). Factor g(j).
5*j**2*(j - 2)*(j + 2)
Let z(u) = 2*u**3 - 20*u**2 + 30*u + 18. Let i be z(8). Solve -1/5*c**3 - 8/5*c + 4/5 + c**i = 0 for c.
1, 2
Let b(l) be the second derivative of -l**6/75 - 11*l**5/25 - 26*l**4/5 - 126*l**3/5 - 243*l**2/5 - 4*l - 18. Let b(c) = 0. Calculate c.
-9, -3, -1
Let o(j) = 12*j**3 - 402*j**2 - 12*j + 483. Let g(i) = -i**3 + 31*i**2 + i - 37. Let c(b) = 27*g(b) + 2*o(b). Factor c(d).
-3*(d - 11)*(d - 1)*(d + 1)
Suppose -5*v + 20 = 3*k, -8 = -2*k - v + 3. Determine i so that 0*i**3 - i**3 - 3*i**5 - i**3 + 5*i**k = 0.
-1, 0, 1
Let x be 3/(-35) - 4/30*-1. Let r(l) be the second derivative of -l + 0 + 1/105*l**6 + 0*l**2 + 1/70*l**5 - 1/42*l**4 - x*l**3. What is a in r(a) = 0?
-1, 0, 1
Let r(n) = -n**2 - 19*n + 84. Let z be r(-22). Factor 4 + 22*y**2 - 36*y**2 + z*y**2 + 8*y.
4*(y + 1)**2
Suppose 8*m - 34 = -2. Let f(s) be the first derivative of 0*s**2 + 0*s + 4 - 2/3*s**3 - 25/3*s**6 - 14*s**5 - 11/2*s**m. What is t in f(t) = 0?
-1, -1/5, 0
Factor 27*p**2 - 13*p**2 - 196 - 6*p**2 - 198*p - 10*p**2.
-2*(p + 1)*(p + 98)
Let i(w) = w**3 - 13*w**2 + 11*w + 9. Let u be i(12). Let j be (2/1)/((-2)/u). Solve -3/4*o**j + 0 - 3/4*o**2 + 3/4*o**4 + 3/4*o = 0 for o.
-1, 0, 1
Let v(j) = j**2 + 7*j + 12. Let q be v(-5). Solve 2*z**3 - 20*z**4 + 6*z**3 + 0*z**2 + 5*z**q + 7*z**3 = 0 for z.
-1/4, 0, 1
Let i(p) = -p**3 + p**2 - 2*p - 4. Let j(n) = -n**2 + n - 1. Let u(c) = -i(c) + 4*j(c). What is r in u(r) = 0?
0, 2, 3
Let r = 499/6 + -3469/42. Let j(a) be the second derivative of -r*a**2 + 8*a + 0 + 1/21*a**4 - 2/21*a**3. Factor j(l).
4*(l - 2)*(l + 1)/7
Let x be 7 - (14/4)/((-2)/(-4)). Let i be 3/(-6) - (-15)/6. Factor 16/5*d**4 - 2/5*d**5 + 64/5*d**i - 32/5*d - 48/5*d**3 + x.
-2*d*(d - 2)**4/5
Determine y so that 22/7 + 2/7*y**2 - 24/7*y = 0.
1, 11
Find k such that 242/3 - 7*k**3 - 1/3*k**4 - 97/3*k**2 + 55*k = 0.
-11, -1, 2
Let f(s) be the first derivative of 2*s - 1/3*s**3 + 3 - 1/2*s**2. Factor f(y).
-(y - 1)*(y + 2)
Factor 8922 + 2*g**4 - 82*g**3 + 228*g**2 - 8922.
2*g**2*(g - 38)*(g - 3)
Let s(k) = k**3 + 8*k**2 + 11*k + 1. Let h be s(-6). Suppose -h = -b - 4*b + 4*y, -3*b - 2*y = -13. Solve 9/2 + 1/2*q**2 + b*q = 0 for q.
-3
Let t(b) be the second derivative of -b**4/3 + 40*b**3/3 - 128*b**2 + 3*b + 12. Factor t(x).
-4*(x - 16)*(x - 4)
Let r(z) = 4*z**2. Suppose 5*v - 22 = -2*f, 2*v = -0*f + f + 7. Let b be r(f). Factor -b*g - g**2 + g + 2*g**2