 + 0 - 2/21*c**2 = 0.
0, 1
Let b(o) be the second derivative of 4*o - 1/4*o**4 + 3/4*o**3 - 3/4*o**2 + 0. Factor b(j).
-3*(j - 1)*(2*j - 1)/2
Let l(p) be the second derivative of -3*p**5/160 + p**4/16 + p**3/16 - 3*p**2/8 + 2*p + 5. Let l(d) = 0. What is d?
-1, 1, 2
Let x = 3209/99 - 7/495. Solve 64/5*h + 8/5 + 18*h**2 - x*h**3 = 0.
-2/9, 1
Let a(c) be the third derivative of -5*c**8/336 - c**7/6 - 3*c**6/4 - 11*c**5/6 - 65*c**4/24 - 5*c**3/2 - 10*c**2 + c. Determine t so that a(t) = 0.
-3, -1
Let s be (0 + 2/(-9))/((-65)/2730). Let d(n) be the first derivative of s*n**3 - 7 - 20*n**2 - 3/2*n**4 + 16*n. Solve d(v) = 0.
2/3, 2
Let z = 3588 - 3585. Factor -1/3*f**z + 0 - 1/3*f**2 + 0*f.
-f**2*(f + 1)/3
Let d(i) be the third derivative of -i**5/40 + 5*i**4/16 - 3*i**3/2 - 2*i**2 + 3*i. Determine s so that d(s) = 0.
2, 3
Let s(r) be the second derivative of r**4/102 + 310*r**3/51 + 24025*r**2/17 - 167*r. Solve s(w) = 0.
-155
Let v(u) = 2*u**2 - 6*u + 4. Let z(p) = -3*p**2 + 7*p - 4. Let c be 2/7 + (-148)/28. Let k(h) = c*z(h) - 6*v(h). Factor k(r).
(r - 1)*(3*r + 4)
Let i = 157 - 157. Let a(p) be the first derivative of 0*p - 2/55*p**5 - 6/11*p**3 + i*p**2 - 3/11*p**4 + 5. Factor a(m).
-2*m**2*(m + 3)**2/11
Let r(w) = -w**3 - w**2 + 2*w + 3. Let j(l) = l - l**2 - 3*l + 1 + l + 2*l. Let m(f) = -15*j(f) + 5*r(f). What is k in m(k) = 0?
0, 1
Factor -50 + 2/3*l**2 - 44/3*l.
2*(l - 25)*(l + 3)/3
Let -505*o - 75*o - 633*o**5 + 49*o**2 - 325*o**4 + 668*o**5 + 136*o**2 + 545*o**3 + 140 = 0. What is o?
-1, 2/7, 1, 2, 7
Find n, given that -25/3*n**3 - 35/3*n**2 + 5/3*n**4 + 10 + 25/3*n = 0.
-1, 1, 6
Let z be (610/30)/(165 + -2 + 2). Let j = z - 2/165. Factor 1/3*k**3 - 1/3*k**2 + 0 + 1/9*k - j*k**4.
-k*(k - 1)**3/9
Let q be (370/25 - 3) + (-2)/(-10). Factor 427 - 5*a**4 - 20*a**3 - 18*a**2 - 20*a - 432 - q*a**2.
-5*(a + 1)**4
Let f(w) be the second derivative of w**5/5 - 10*w**4/3 + 34*w**3/3 - 16*w**2 - 554*w. Determine h, given that f(h) = 0.
1, 8
Suppose -116*s = 32*s - 29*s. Factor 0*g**2 - 6/11*g**4 + 0*g**3 - 6/11*g**5 + s + 0*g.
-6*g**4*(g + 1)/11
Let n = 1/918 - -607/4590. Determine o, given that 0*o + 0 + 0*o**2 + 8/15*o**4 - n*o**3 = 0.
0, 1/4
Let b(u) = -4*u - 1. Let s be b(-1). Solve 3*n**2 - s*n**2 - n**2 = 0 for n.
0
Find l, given that 1/4*l**5 - 2*l**2 + 0 - 7/4*l**4 + 7/2*l**3 + 0*l = 0.
0, 1, 2, 4
Let r(h) = -9*h**2 + 172*h + 156. Let b(o) = -10*o**2 + 176*o + 156. Let m(w) = -5*b(w) + 6*r(w). Suppose m(z) = 0. Calculate z.
-1, 39
Let y(d) be the third derivative of -5*d**6/24 - 13*d**5/12 - 7*d**4/3 - 8*d**3/3 + 94*d**2. Factor y(h).
-(h + 1)*(5*h + 4)**2
Let q(u) be the third derivative of u**6/75 + u**5/10 + 36*u**2 + 2*u. Solve q(s) = 0.
-15/4, 0
Let d(v) = 7*v**3 - 48*v**2 + 219*v - 374. Let a(x) = 8*x**3 - 50*x**2 + 218*x - 372. Let p(q) = 5*a(q) - 6*d(q). Factor p(j).
-2*(j - 8)**2*(j - 3)
Let w(q) = q**3 - 2*q**2 - 2*q - 1. Let j be w(3). Let 5*d - 2 - 2*d**j - 4*d + 3*d = 0. What is d?
1
Solve -33/4*v + 9/4*v**3 - 9/2 - 9/4*v**2 + 3/4*v**4 = 0.
-3, -1, 2
Let a(u) be the second derivative of 1/3*u**2 + 13/18*u**3 + 0 + 11/36*u**4 + 23*u. Determine x so that a(x) = 0.
-1, -2/11
Suppose 31*a - 222 = 26. Let 32*u + 2/3*u**3 + 128/3 + a*u**2 = 0. Calculate u.
-4
Let g(s) be the third derivative of 0 - 1/20*s**5 + 7*s**2 - 8*s**3 - s**4 + 0*s. Find n, given that g(n) = 0.
-4
Let x(z) = z**3 - z**2. Let b be x(2). Suppose -95*t + 83*t = -3192. Factor -i**4 + 0*i**b - 266*i**2 + t*i**2.
-i**4
Factor -1/3*h**4 - 64/3 + 4/3*h**3 - 32/3*h + 4*h**2.
-(h - 4)**2*(h + 2)**2/3
Let y(j) be the first derivative of -4/3*j**3 - 7/30*j**5 - 1 + 0*j - 4/3*j**4 + 1/2*j**2. Let f(o) be the second derivative of y(o). Factor f(k).
-2*(k + 2)*(7*k + 2)
Let j = 134 + -132. Let q(i) be the first derivative of -2/25*i**5 - 2/5*i**4 - 2/5*i + 2 - 4/5*i**j - 4/5*i**3. What is d in q(d) = 0?
-1
Let y(l) be the second derivative of 3*l**5/40 - 3*l**4/8 - l**3/4 + 9*l**2/4 - 2*l + 72. Determine g so that y(g) = 0.
-1, 1, 3
Let m(d) be the first derivative of -d**5/20 + 319*d**4/16 - 5671*d**3/2 + 306181*d**2/2 - 297754*d - 59. Factor m(u).
-(u - 106)**3*(u - 1)/4
Suppose -126 = -12*d - 42. Let f(y) be the third derivative of 0*y + 3*y**2 + 1/90*y**5 + 1/90*y**d + 0*y**3 - 1/40*y**6 + 0 + 0*y**4. Factor f(c).
c**2*(c - 1)*(7*c - 2)/3
Let q be (-3)/(((-7)/((-42)/12))/(-9 + 7)). Factor 0 - 3/4*d**q - 3/4*d - 3/2*d**2.
-3*d*(d + 1)**2/4
Let y(u) = -16*u + 99. Let x be y(6). Let k(g) be the second derivative of 1/4*g**4 + 0*g**2 + x*g + 0 + 1/2*g**3. Let k(d) = 0. What is d?
-1, 0
Suppose 9*i - 20 = 4*i. Factor 5*t**2 - 33*t**4 + 2*t + 28*t**i - 4*t**2 - 2*t**3 + 4*t**2.
-t*(t - 1)*(t + 1)*(5*t + 2)
Let g(l) = -l**4 + 10*l**3 - 48*l**2 + 36*l. Let m(q) = -3*q**4 + 31*q**3 - 144*q**2 + 108*q. Let r(t) = -8*g(t) + 3*m(t). Factor r(i).
-i*(i - 6)**2*(i - 1)
Let v = -17 - -56. Let b = v + -27. Factor -4*u**3 + 6*u**2 - b*u**2 + u**3.
-3*u**2*(u + 2)
Let t(l) = -5*l - 5. Let r be t(-2). Determine a, given that 140*a + 208*a**3 + 22*a**5 - 305*a**2 + 82*a**3 - 20 - 125*a**4 - 2*a**r = 0.
1/4, 1, 2
Factor 2/5*u**2 - 2/5 + 2/5*u**3 - 2/5*u.
2*(u - 1)*(u + 1)**2/5
Let j(k) be the third derivative of -k**6/120 + 23*k**5/60 - 5*k**4/6 - 22*k**3/3 + 36*k**2 + 2. Factor j(n).
-(n - 22)*(n - 2)*(n + 1)
Let -54*z**2 + 4*z + 0*z - 32*z + 121*z**4 - 28*z**3 - 115*z**4 - 40*z**2 = 0. What is z?
-2, -1/3, 0, 7
Factor 3*q**4 - 17 + 9*q + 21*q**2 - 7 + 14*q + 4*q - 27*q**3.
3*(q - 8)*(q - 1)**2*(q + 1)
Suppose -4*q + 32 = -4*j, 0 = 3*j - 5*q - 12 + 40. Let r be j + 4 - (4/(-11) - 2). Factor 6/11*z**2 - 10/11*z + r.
2*(z - 1)*(3*z - 2)/11
Let g be (-14)/(-8) + (-30)/40. Let v(s) be the first derivative of 0*s**2 + s - 1/3*s**3 - g. Solve v(r) = 0.
-1, 1
Let a(w) be the first derivative of -3*w**5/25 - w**4/3 - 4*w**3/15 - w - 9. Let z(k) be the first derivative of a(k). Factor z(q).
-4*q*(q + 1)*(3*q + 2)/5
Let h = -622 - -624. Factor 0 - 7/4*f**3 + 0*f + 1/2*f**h.
-f**2*(7*f - 2)/4
Let 36/5*q**2 - 3/5*q**4 + 0*q + 12/5*q**3 + 0 = 0. What is q?
-2, 0, 6
Suppose -s + q + 5 = 0, 3*q + 3 = -2581*s + 2580*s. Let 4/7 - 4/7*a - 1/7*a**2 + 1/7*a**s = 0. Calculate a.
-2, 1, 2
Let b = 200 + -195. Let m(f) be the first derivative of 1/3*f**2 + 1/9*f**3 + 1/3*f - b. Let m(w) = 0. What is w?
-1
Let k(b) = 1428*b - 12850. Let g be k(9). Find r, given that 4/3*r**5 + 4/3*r**3 - 8/3*r + 4*r**4 + 0 - 4*r**g = 0.
-2, -1, 0, 1
Factor -792/7*x + 39204/7 + 4/7*x**2.
4*(x - 99)**2/7
Suppose 3*g - 147 = -141. Let j(i) be the third derivative of -1/480*i**6 + 1/96*i**4 - 1/12*i**3 + 0*i + 1/120*i**5 + 0 - 5*i**g. Factor j(m).
-(m - 2)*(m - 1)*(m + 1)/4
Let d(w) be the third derivative of 0*w + 0*w**4 + 40*w**2 + 0 + 1/80*w**6 + w**3 - 3/40*w**5. Let d(a) = 0. Calculate a.
-1, 2
Let w be (-1)/((-2)/22) - (1 + -2). Suppose 3*b - w = -0*b. What is x in -8/7*x - 34/7*x**3 + 0 - 10/7*x**b - 32/7*x**2 = 0?
-2, -1, -2/5, 0
Let y be 3 + 10/(10/2). Let f(x) be the second derivative of 3/14*x**2 + 0 - x - 2/7*x**3 + 3/35*x**y - 1/28*x**4. Factor f(w).
3*(w - 1)*(w + 1)*(4*w - 1)/7
Let c(v) = -5*v**3 - v**2 + 4*v. Let z(w) = -8*w**3 - 2*w**2 + 6*w. Let i(r) = r - 2. Let o be i(-5). Let l(h) = o*c(h) + 5*z(h). Factor l(t).
-t*(t + 1)*(5*t - 2)
Solve -1/5*m**2 - 23/5 - 24/5*m = 0.
-23, -1
Suppose 2*y = 4*b + 14, -y = -0*b - 4*b - 9. Let t(c) be the second derivative of 0 + 1/10*c**y - 1/3*c**4 + 0*c**3 + 0*c**2 - c. Solve t(i) = 0.
0, 2
Let v(k) be the third derivative of k**7/105 - k**6/60 - k**5/6 - k**4/4 + 5*k**2 - 6*k. Factor v(s).
2*s*(s - 3)*(s + 1)**2
Let g = 4154/3 + -1384. Solve g*q**2 + 4/3*q**3 + 1/3*q**4 - 4/3*q - 1 = 0 for q.
-3, -1, 1
Let d(r) be the first derivative of -2*r**5 - 35/4*r**4 - 5*r - 15*r**3 - 25/2*r**2 - 9. What is z in d(z) = 0?
-1, -1/2
Let b = 6624 - 6624. Factor -2/7*v + 10/7*v**2 - 8/7*v**3 + b.
-2*v*(v - 1)*(4*v - 1)/7
Let i(m) be the second derivative of 4*m + m**2 + 1/30*m**5 + 0 + 1/60*m**6 + 0*m**3 + 0*m**4. Let t(h) be the first derivative of i(h). Factor t(u).
2*u**2*(u + 1)
Let m(s) = -27*s**2 - s. Let f be m(1). Let b = f - -284. Suppose -b*a - 2*a**3 - 48 + 19*a**3 - 380*a**2 - 53*a**3 - 64*a**3 = 0. What is a?
-3, -2/5
Let y(a) = 2*a**4 - 404*a**3 + 27336*a**2 - 628500*a + 601