(q) be the second derivative of x(q). Factor n(l).
-5*(l - 1)*(l + 1)**2*(l + 2)
Let g = 61 + -100. Let q be -9*(4/g)/2. Factor -4/13*w + 10/13*w**2 + q*w**3 + 0.
2*w*(w + 2)*(3*w - 1)/13
Let g(c) = -2*c**2 + 29 - 5 - 4*c + 3*c**2 - 17. Let w be g(3). Factor 0*o**2 + 0*o - 3/5*o**3 + 0 - 3/5*o**5 + 6/5*o**w.
-3*o**3*(o - 1)**2/5
Let h(l) be the first derivative of -l**4/22 + 8*l**3/11 - 29*l**2/11 + 36*l/11 - 2. Let h(q) = 0. What is q?
1, 2, 9
Let f(o) = -29*o**2 - 1163*o - 116. Let a be f(-40). Factor 0*i**2 + 0 + 3/4*i**5 + 0*i**a + 0*i - 3*i**3.
3*i**3*(i - 2)*(i + 2)/4
Let n(r) be the second derivative of -9/40*r**5 - 3/4*r**2 + 0 + 3/56*r**7 + 3/8*r**3 - 1/20*r**6 - 7*r + 1/4*r**4. Solve n(b) = 0 for b.
-1, 2/3, 1
Let s(b) be the second derivative of b**5/140 - b**3/42 - 5*b - 3. Factor s(c).
c*(c - 1)*(c + 1)/7
Let -2/5*n**2 + 62/5*n + 2/5*n**4 + 0 - 62/5*n**3 = 0. What is n?
-1, 0, 1, 31
Let -88*c + 5808 + 1/3*c**2 = 0. What is c?
132
Let y = 378 - 371. Let l(g) be the third derivative of 0*g**3 + 0 + 5*g**2 - 1/4*g**4 + 0*g**6 - 3/20*g**5 + 1/70*g**y + 0*g. Factor l(x).
3*x*(x - 2)*(x + 1)**2
Let k be 222/740 + (9/(-210))/3. Factor k*g**2 + 2/7 + 4/7*g.
2*(g + 1)**2/7
Let z(n) be the third derivative of -17*n**2 - 1/42*n**7 + 0*n**4 + 0 - n + 1/4*n**6 + 7/12*n**5 + 0*n**3. Let z(o) = 0. What is o?
-1, 0, 7
Suppose 2734*j - 705*j + 515*j + 35 + 1314*j**3 + 14*j**5 + 3890*j**2 + 253 - 306*j**4 = 0. What is j?
-1, -1/7, 12
Let m = 156 - 156. Let z be (-4)/12 + (-4)/(-6). Factor -1/3*f**2 + m + z*f.
-f*(f - 1)/3
Let o(c) be the second derivative of 1/3*c**2 - 4*c - 1/54*c**4 - 2/27*c**3 + 0. Suppose o(g) = 0. What is g?
-3, 1
Let k(h) = -2*h. Let w be -3*3/18*-8. Let m(q) = -q**2 - 1. Let j(f) = w*m(f) + 4*k(f). Determine n, given that j(n) = 0.
-1
Suppose 3/2 - 39/2*w + 18*w**2 = 0. Calculate w.
1/12, 1
Suppose -6*m = -7*m - 38. Let q = 40 + m. Solve -29/2*t**q - 9/4*t**4 + 9*t - 2 + 39/4*t**3 = 0 for t.
2/3, 1, 2
Let v(r) = 5*r - 22. Suppose -15 = 4*y + t - 48, 0 = -y + 4*t + 4. Let l be v(y). Factor -99/5*u - 3/5*u**5 - 138/5*u**2 - 27/5*u**4 - l*u**3 - 27/5.
-3*(u + 1)**3*(u + 3)**2/5
Let t(z) = -16*z**4 - 126*z**3 - 303*z**2 - 270*z - 78. Let o(u) = 16*u**4 + 124*u**3 + 301*u**2 + 270*u + 79. Let y(w) = -3*o(w) - 2*t(w). Factor y(l).
-(l + 3)**2*(4*l + 3)**2
Let q be ((-4 - -2)*-1)/((-22)/(-33)). Determine s so that 7*s**3 - 33*s**4 + 40*s**2 + 21*s**q + 37*s**4 = 0.
-5, -2, 0
Determine u so that u**3 - 104*u + 136 - 10*u**2 - 136 + 115*u - 2*u**2 = 0.
0, 1, 11
Let c be 5/25 + ((-49)/(-5) - 0). Let v be ((-4)/(-98))/(c/70). Factor -12/7*a + v*a**2 + 18/7.
2*(a - 3)**2/7
Solve -1/2*f**3 + 6*f**2 + 14*f - 1/2*f**4 + 8 = 0.
-2, -1, 4
Let p(d) = d**2 + 1. Let i be p(-2). Factor 11*j - i*j**3 + j + 8*j - 15*j**2.
-5*j*(j - 1)*(j + 4)
Let i(z) be the third derivative of -1/15*z**5 + 0*z**3 + 0*z + 1/20*z**6 + 0*z**7 + 0*z**4 - 1/168*z**8 + 0 + 7*z**2. Factor i(j).
-2*j**2*(j - 1)**2*(j + 2)
Let m be ((-456)/(-40) - 12)*-5. Factor -1/2*h - m*h**3 - 2*h**4 - 1/2*h**5 + 0 - 2*h**2.
-h*(h + 1)**4/2
Let y(s) be the second derivative of -s**5/120 + 13*s**4/24 - 10*s**3 - 100*s**2/3 + 33*s. Solve y(z) = 0 for z.
-1, 20
Let m(u) = -u**2 - 2*u. Let q be m(-2). Factor -10*o**2 - 2*o**2 - 8 + q + 20*o.
-4*(o - 1)*(3*o - 2)
Factor -20/3*u + 2/3*u**2 - 22/3.
2*(u - 11)*(u + 1)/3
Let v be (2*3)/((-13)/(-546)). Let c = -503/2 + v. Factor 0 - c*u**2 + 0*u + 7/4*u**3.
u**2*(7*u - 2)/4
Let n(z) = -19*z**5 + 29*z**4 - 28*z**3 + 9*z - 18. Let x(y) = 10*y**5 - 15*y**4 + 15*y**3 - 5*y + 10. Let m(v) = -5*n(v) - 9*x(v). What is f in m(f) = 0?
0, 1
Let q(w) be the second derivative of 2*w**7/21 + 4*w**6/15 - 3*w**5/5 - 4*w**4/3 + 8*w**3/3 - 9*w - 2. Suppose q(y) = 0. Calculate y.
-2, 0, 1
Let y(g) = -1697*g - 8480. Let n be y(-5). What is s in 4/3*s - 2 + 20/3*s**2 + 4/3*s**n - 8*s**3 + 2/3*s**4 = 0?
-3, -1/2, 1
Let h = 203 - 199. Factor 0*r**2 + 0*r**h + 0 + 2/3*r + 2/3*r**5 - 4/3*r**3.
2*r*(r - 1)**2*(r + 1)**2/3
Let t = -3/1130 + 177/2825. Let j(p) be the second derivative of 0*p**3 - 2*p + 0 + t*p**5 + 0*p**2 - 1/15*p**4. Let j(f) = 0. What is f?
0, 2/3
Let q(n) be the third derivative of n**5/180 - 7*n**4/72 + n**3/3 + 57*n**2. Factor q(m).
(m - 6)*(m - 1)/3
Let l(m) be the first derivative of -5*m**4/24 - 5*m**3/18 + 5*m**2/2 - 41. Find d, given that l(d) = 0.
-3, 0, 2
Let v = -142 - -147. Let s be ((-1)/v)/(24/(-40)). Factor 0 + s*g**3 + 4/3*g**2 + 4/3*g.
g*(g + 2)**2/3
Let d be (-1)/(-5)*(-19)/(-57). Let p(b) be the first derivative of d*b**5 + 0*b**2 - 1/6*b**4 + 1/9*b**3 + 0*b - 1. Find x, given that p(x) = 0.
0, 1
Let r = -1947 - -1950. Let p(j) be the first derivative of 2/5*j - 8 + 7/20*j**4 + 1/15*j**r - 3/25*j**5 - 7/10*j**2. Find x such that p(x) = 0.
-1, 1/3, 1, 2
Let p = 40210 + -40208. Factor -1 - 1/4*u**p - u.
-(u + 2)**2/4
Let v = 82/13 + -10768/1703. Let s = 534/655 + v. Let 2/5*w**3 - 6/5*w**2 + 2/5*w**4 - 2/5*w + s = 0. Calculate w.
-2, -1, 1
Let w(v) be the first derivative of -v**6/2 - 81*v**5/5 - 225*v**4/4 - 73*v**3 - 36*v**2 + 686. Let w(o) = 0. What is o?
-24, -1, 0
Let d(c) be the first derivative of 2*c**4 + 52*c**3/3 - 326*c**2 + 312*c - 384. Factor d(h).
4*(h - 6)*(h + 13)*(2*h - 1)
Let c = -13893 - -55573/4. Suppose 1/4*t**4 + c*t**3 + 5*t + 0 - 4*t**2 = 0. Calculate t.
-5, 0, 2
Suppose -111835*w - 28473*w + 1572*w**2 + 8992364 - 4*w**3 - 98097*w + 32473*w = 0. What is w?
131
Solve -32/3*y - 4 + 11*y**2 - 7/3*y**3 = 0 for y.
-2/7, 2, 3
Let b = 3 - 8. Let i = b + 8. Find q, given that q**i - q**3 - 3*q**5 + 2*q**3 + q**4 + 0*q**3 = 0.
-2/3, 0, 1
Suppose 1/6*i**2 - 2/3 + 1/6*i**3 - 2/3*i = 0. What is i?
-2, -1, 2
Let x = 184 + -184. Let b(v) be the third derivative of -2/9*v**3 + 1/36*v**4 - 4*v**2 + 0*v + x + 1/90*v**5. Factor b(q).
2*(q - 1)*(q + 2)/3
Let x(n) = 3*n**2 - 133*n - 1437. Let y be x(-9). Find p, given that 6*p**y + 73/4*p**2 + 3 + 14*p = 0.
-2, -2/3, -3/8
Find d, given that 3/4*d**2 + 9/2*d + 15/4 = 0.
-5, -1
Suppose -14*d + 3*d = -33. Factor -4*r**d + 21*r**4 - 66*r**2 + 18*r**2 - 10*r**3 - 12*r - r**3.
3*r*(r - 2)*(r + 1)*(7*r + 2)
Let k be ((1 - -8) + -9)/(-9). Let d(y) be the second derivative of 0*y**3 - 9*y + 1/90*y**6 - 1/60*y**5 + k*y**2 + 0 + 0*y**4. Suppose d(m) = 0. What is m?
0, 1
Let w(r) = r**2 - 4*r - 1. Let x(q) = -8*q - 12. Let v(u) = u + 2. Let h(c) = -6*v(c) - x(c). Let y(n) = -2*h(n) - w(n). Suppose y(b) = 0. What is b?
-1, 1
Factor 2/3*l**3 + 78608/3 + 68*l**2 + 2312*l.
2*(l + 34)**3/3
Let x(a) be the second derivative of -1/3*a**3 + a + 0 + 0*a**4 + 0*a**2 - 1/60*a**5 - 1/180*a**6. Let c(o) be the second derivative of x(o). Factor c(d).
-2*d*(d + 1)
Let y(a) be the first derivative of 2/5*a**5 + 0*a - a**2 + 1/2*a**4 - 9 - 2/3*a**3. Let y(q) = 0. What is q?
-1, 0, 1
Let o(h) = 32*h**3 + 28*h**2. Let a(r) = 11*r**3 + 9*r**2. Let s be (-7 - (-1 + -2)) + 21. Let l(k) = s*a(k) - 6*o(k). Suppose l(g) = 0. What is g?
-3, 0
Let g be 5 - (4 - (4 - 1)). Solve -8*l**2 + g - 2*l - 2*l + 6*l**2 + 2 = 0.
-3, 1
Let k be -17 + -4 + (-336)/(-16). Factor -7/5*d**3 - 11/5*d**2 - 1/5*d**4 + k - d.
-d*(d + 1)**2*(d + 5)/5
Let g = -6 + 8. Factor 2*p**2 + p**3 + 0*p**5 - g*p**3 - 2*p**5 - 5*p**3 + 6*p**4.
-2*p**2*(p - 1)**3
Let j(x) be the first derivative of 2/9*x**3 + 5 + 4*x**2 + 24*x. What is q in j(q) = 0?
-6
Let d(t) be the third derivative of -t**5/90 - 67*t**4/36 + 68*t**3/9 + 48*t**2. Factor d(j).
-2*(j - 1)*(j + 68)/3
Let s(m) be the second derivative of 3*m**5/20 - 3*m**4 + 9*m**3/2 + 33*m**2 + 2*m + 740. Determine i, given that s(i) = 0.
-1, 2, 11
Let c = 1733 + -1731. Factor 3/4*b - 21/4*b**5 + 12*b**c - 3/2 + 39/2*b**4 - 51/2*b**3.
-3*(b - 1)**4*(7*b + 2)/4
Suppose 10*x = 3*x. Suppose -q = 4*n - 26, x = -2*n - 3*n + 4*q + 43. Factor 16 + 32 + 24*g + n*g**2 - 4*g**2.
3*(g + 4)**2
Let d(q) be the second derivative of q**9/20160 - q**7/3360 - 5*q**4/12 - 12*q. Let v(g) be the third derivative of d(g). Let v(m) = 0. Calculate m.
-1, 0, 1
Factor 16*d**2 - 134*d**3 + 8*d**2 - 4*d**4 + 138*d**3.
-4*d**2*(d - 3)*(d + 2)
Let r(q) = -3*q + 30. Let p be r(9). Suppose -3*t - 5*y = -y, 0 = -t - p*y. Suppose 0*l**2 - 1/6*l**5 + t*l + 0 - 1/3*l**4 - 1/6*l**3 = 0. What is l?
-1, 0
Suppose 0 = 3*c + 15, -2*x - 175