ive of 17 + 2/9*x**3 + 0*x**2 + 0*x. Suppose p(b) = 0. What is b?
0
Factor -48 - 100*a + 7*a**3 + 0*a**3 - 3*a**3 + 24*a**2 + 120*a.
4*(a - 1)*(a + 3)*(a + 4)
Let g(t) be the first derivative of -t**5/15 + t**4/12 + t**3/3 + 2*t**2 - 16. Let l(f) be the second derivative of g(f). Factor l(d).
-2*(d - 1)*(2*d + 1)
Let n(p) be the third derivative of 0*p + 1/360*p**5 + 0 + 1/18*p**4 + 38*p**2 - 1/4*p**3. Suppose n(y) = 0. What is y?
-9, 1
Let m(w) be the second derivative of w**7/147 + 2*w**6/105 - w**5/70 - w**4/21 - 19*w + 1. Suppose m(l) = 0. Calculate l.
-2, -1, 0, 1
Let p(g) be the second derivative of 0 + 1/5*g**5 + g + 0*g**2 + 1/30*g**6 + 5/12*g**4 + 1/3*g**3. Determine i so that p(i) = 0.
-2, -1, 0
Let k(h) = h**2 - h. Let t(n) = -2*n**2 + 7*n - 6. Let r be t(2). Let l be k(r). Let 4/11*g**3 + l + 0*g - 2/11*g**2 = 0. What is g?
0, 1/2
Let j(b) be the third derivative of -b**5/270 + b**4/36 + 4*b**3/27 - 5*b**2 - 8*b. Factor j(t).
-2*(t - 4)*(t + 1)/9
Let x be ((-32)/2)/4 + 7. Factor 25*k**4 - 20*k - 22 - 18 + 150*k**2 - 10 - 115*k**x + 10.
5*(k - 2)**2*(k - 1)*(5*k + 2)
Let v(z) be the first derivative of z**5/270 - z**4/54 + z**3/27 - 7*z**2 - 14. Let t(k) be the second derivative of v(k). Suppose t(j) = 0. What is j?
1
Suppose -3*q = -5 + 11. Let b be (7 - 6)*(-2 - q/1). Factor 0 - 4/9*w**2 + b*w + 2/9*w**3.
2*w**2*(w - 2)/9
Let y(b) be the first derivative of 3*b**5/20 + 7*b**4/8 + b**3 + 19*b**2/2 + 9. Let o(d) be the second derivative of y(d). Factor o(f).
3*(f + 2)*(3*f + 1)
Suppose -7*h = -12 - 9. Factor -h*u**3 - 144*u - 108 - 392*u**2 + 170*u**2 + 183*u**2.
-3*(u + 1)*(u + 6)**2
Let w(a) be the second derivative of a**5/4 - 365*a**4/4 + 26645*a**3/2 - 1945085*a**2/2 - 147*a. Suppose w(u) = 0. Calculate u.
73
Suppose 16 - 20 = -z. Let r(t) be the first derivative of -3/4*t**z + 6*t + 4*t**3 - 15/2*t**2 - 4. Factor r(i).
-3*(i - 2)*(i - 1)**2
Suppose -40 = -g - 4*g. Let k = 8 - g. Determine d, given that k + 1/4*d**2 - 1/4*d**4 + 1/4*d - 1/4*d**3 = 0.
-1, 0, 1
Suppose -m + 12 = 7. Suppose 2*u + 21 = 5*x, 2*x - 16 - 5 = m*u. Determine z so that 0 - 8/7*z - 12/7*z**4 - 26/7*z**x - 24/7*z**2 - 2/7*z**5 = 0.
-2, -1, 0
Let g = -37016 + 37020. Solve -7*t**2 - 61/5*t**3 - t**5 - 33/5*t**g + 6/5*t + 8/5 = 0 for t.
-4, -1, 2/5
Let d(q) = -4*q**4 - 7*q**3 - 8*q**2 - 5*q - 3. Let u(t) = -7*t**4 - 14*t**3 - 17*t**2 - 10*t - 5. Let c(o) = 5*d(o) - 3*u(o). Solve c(m) = 0 for m.
-5, -1, 0
Let m(z) be the first derivative of z**4/6 - z**3/4 - z**2/4 + 29*z + 49. Let k(b) be the first derivative of m(b). Factor k(i).
(i - 1)*(4*i + 1)/2
Let g be -4 - -1689*4/(-30). Let o = 230 + g. Solve -o*h**4 - 18/5*h**2 - 14/5*h**3 - 2*h - 2/5 = 0.
-1, -1/2
Let d(j) be the first derivative of j**4/10 + 36*j**3/5 + 672*j**2/5 - 3136*j/5 - 304. Solve d(g) = 0.
-28, 2
Determine x so that 500*x**2 - 155*x - 875*x**4 - 540*x**3 + 245*x**5 + 302*x - 227*x = 0.
-1, 0, 2/7, 4
Let y(j) be the third derivative of 0 - 1/30*j**5 + 1/315*j**7 + 0*j**3 + 0*j - 18*j**2 - 1/18*j**4 + 0*j**6. Factor y(x).
2*x*(x - 2)*(x + 1)**2/3
Let y(j) be the third derivative of j**8/504 + j**7/45 + j**6/30 + 48*j**2 - j. Factor y(h).
2*h**3*(h + 1)*(h + 6)/3
Let n(o) be the first derivative of -o**3 + 207*o**2/2 - 204*o - 2. Suppose n(j) = 0. Calculate j.
1, 68
Let u be 10*(1261/(-130) - -10). Let p(d) be the second derivative of -6*d + 0 - 2*d**4 - 2*d**u - 3/4*d**5 + 0*d**2 - 1/10*d**6. Let p(q) = 0. Calculate q.
-2, -1, 0
Let b(w) be the second derivative of 7/40*w**5 - 1/3*w**4 - 5*w + 0 + 0*w**2 + 1/12*w**6 - 1/3*w**3. Find n, given that b(n) = 0.
-2, -2/5, 0, 1
Suppose 0 = 5*s - 4*r - 19, 0 = -4*r - r - 5. Suppose s*h - 2*h = -5*j + 12, 3*h + 2 = 4*j. Suppose 1/2*y - y**j + 0 + 1/2*y**3 = 0. Calculate y.
0, 1
Let r(v) be the second derivative of -v**4/36 - 38*v**3/9 - 722*v**2/3 + 27*v - 1. Factor r(f).
-(f + 38)**2/3
Let n(t) be the first derivative of -2*t**6/9 + 2*t**5/5 - t**4/6 - 15. Factor n(w).
-2*w**3*(w - 1)*(2*w - 1)/3
Let z(q) = q**3 + 3*q**2 + q + 2. Let v be z(-2). Factor -24*w + 363 + 3*w**2 - 10*w - v*w - 28*w.
3*(w - 11)**2
Let l be (-28)/360 - (10/75)/(-1). Let z(w) be the second derivative of -1/60*w**5 - l*w**3 + 0*w**2 + 0 - 1/18*w**4 + w. Factor z(p).
-p*(p + 1)**2/3
Let b = 13 + -11. Factor 11*y**b - 27*y**2 + 7*y**2 + 8*y**2.
-y**2
Let u = -122 - -127. Suppose -u*d + 46 = 18*d. Factor 0 + 0*s + 4/7*s**3 + 0*s**d.
4*s**3/7
Let g(y) = 2*y**3 - 2*y + 3. Let n(f) = -3*f**3 - f**2 + 4*f - 5. Let i be 2 + (-6)/(-21) + 102/(-14). Let q(b) = i*g(b) - 3*n(b). Let q(j) = 0. Calculate j.
0, 1, 2
Let d = 390515/24 - 16268. Let h = d + 15/8. Factor 4/3 + 1/3*w**2 + 7*w**3 - h*w.
(w + 1)*(3*w - 2)*(7*w - 2)/3
Suppose 6*h - 48*h = 10*h - 208. Solve 2/5*x**3 - 1/5*x**h - 1/5*x**2 + 0 + 0*x = 0 for x.
0, 1
Let x(q) be the first derivative of q**5/300 - q**4/120 - q**3/15 + 3*q**2 - 9. Let m(l) be the second derivative of x(l). Factor m(y).
(y - 2)*(y + 1)/5
Let k(m) be the first derivative of -m**7/70 + m**6/10 - m**5/10 - m**4/2 + 3*m**3/2 - 3*m**2/2 + 11. Let x(i) be the second derivative of k(i). Factor x(n).
-3*(n - 3)*(n - 1)**2*(n + 1)
Let n(w) = 6*w**2 + 3*w + 3. Let h(j) be the second derivative of -j**5/20 - j**4/2 - j**3/2 - j**2 - 23*j. Let m(y) = 3*h(y) + 2*n(y). Factor m(o).
-3*o*(o + 1)**2
Let w(h) be the second derivative of -3/4*h**3 - 1/120*h**5 + 1/8*h**4 + 0 + h**2 - 4*h. Let d(g) be the first derivative of w(g). Factor d(t).
-(t - 3)**2/2
Let j(s) = s**2 + s + 1. Let t(h) = -8*h**2 + 219*h + 70. Let u(y) = 5*j(y) + t(y). Determine q so that u(q) = 0.
-1/3, 75
Let b(h) = -h - 1. Let p(l) = -l - 1. Let g(f) = -4*b(f) + 7*p(f). Let c be g(-1). Let 0*k**4 + c*k**5 + k**4 - k**5 = 0. Calculate k.
0, 1
Let g(d) be the second derivative of 16*d + 0 + 1/3*d**4 + 1/20*d**5 + d**2 + 5/6*d**3. Let g(z) = 0. What is z?
-2, -1
Suppose -15*k = -11*k + 4. Let r be (-36)/27*(k - 2). Factor 4 + r - 4*p**2 - 6 + 2 - 4*p + 4*p**3.
4*(p - 1)**2*(p + 1)
Suppose 8*s + 4 = 9*s. Let b(x) = 11*x + 4. Let r be b(s). Factor -8 + 0 + 0*t**2 - 41*t**3 - 9*t**3 - 90*t**2 - r*t.
-2*(t + 1)*(5*t + 2)**2
Let a be 313/(-2) + -5 + (-54)/(-12). Let c = 473/3 + a. Factor -16/3*x + 4/3*x**3 - c*x**2 + 8/3.
2*(x - 2)*(x + 2)*(2*x - 1)/3
Let f(k) = 7*k**3 - 59*k**2 - 230*k - 160. Let x(z) = 190*z**3 - 1590*z**2 - 6210*z - 4320. Let u(y) = -55*f(y) + 2*x(y). Find v such that u(v) = 0.
-2, -1, 16
Let z(g) be the first derivative of 1/3*g**3 + 2*g - 43 - 3/2*g**2. Let z(o) = 0. Calculate o.
1, 2
Let v(f) be the second derivative of f**4/30 + 8*f**3/15 - 9*f**2/5 + 4*f + 6. Factor v(m).
2*(m - 1)*(m + 9)/5
Let y(f) = -7*f - 80. Let t be y(-11). Let o be ((-2)/t)/(8/18). Suppose 6*r**2 + 0 - 6*r**3 + 0*r + o*r**4 = 0. Calculate r.
0, 2
Suppose 0 = 5*d + 10*d - 30. Factor 15 - 24 + 363*y**d + 57 - 264*y.
3*(11*y - 4)**2
Let j = 5 - 1. Let b be ((10 - 25) + 15)/2. Factor 0*m**2 + 0*m + 0*m**j + b - 1/7*m**3 + 1/7*m**5.
m**3*(m - 1)*(m + 1)/7
Let c(i) be the third derivative of -i**7/840 + i**6/160 - i**5/240 - i**4/32 + i**3/12 + 390*i**2. Factor c(p).
-(p - 2)*(p - 1)**2*(p + 1)/4
Suppose 99*o + c = 101*o - 4, 8 = 4*o + 2*c. Factor -22/7*r - 12/7*r**3 - 2/7*r**4 + 4*r**o + 2/7*r**5 + 6/7.
2*(r - 1)**4*(r + 3)/7
Let z(m) be the second derivative of 3*m**5/40 + 43*m**4/8 + 483*m**3/4 + 1323*m**2/4 - 491*m. Factor z(n).
3*(n + 1)*(n + 21)**2/2
Suppose -4*a - a = -15. Suppose -a*j = -3*f + 6, -3*f + 0*j = 3*j + 6. Factor f + b + 1/2*b**2.
b*(b + 2)/2
Let a(s) = 4*s**2 - 2*s - 4. Suppose -4*p + f = -13, -4*p + 28 = 3*f + 3. Let b(i) = -5*i**2 + 3*i + 5. Let q(k) = p*b(k) + 6*a(k). Factor q(u).
4*(u - 1)*(u + 1)
Suppose 0 = -y - 5*s - 29, y - 5*s = 6*y + 85. Let x be (12/(-42) + 52/(-14))/y. Factor 4/7*n - x*n**2 + 0 - 2/7*n**3.
-2*n*(n - 1)*(n + 2)/7
Let f(u) be the first derivative of 98*u**6/15 - 14*u**5 - u**4 + 40*u**3/3 + 8*u**2 - 11*u - 13. Let m(d) be the first derivative of f(d). Factor m(t).
4*(t - 1)**2*(7*t + 2)**2
Factor -20/3 - 85/3*q**2 + 35*q.
-5*(q - 1)*(17*q - 4)/3
Let t be 20/35*(8 - 1). Suppose -t*w = -7*w + 9. Determine j so that 11*j - 28 + 23 + 5*j**w - 15*j**2 + 4*j + 0*j**2 = 0.
1
Suppose -6*i - 6165 = -6195. Let x(d) be the first derivative of 0*d + 3/2*d**4 + 25/4*d**6 + 0*d*