/4*i**5 - i**2. Factor z(u).
(u - 1)*(3*u + 1)*(5*u + 2)
Let j be 2/7 + -2*1179/21. Let y = j - -562/5. Solve 0*z + 0 + y*z**3 + 2/15*z**4 + 4/15*z**2 = 0.
-2, -1, 0
Let r be -1 - (-28 + 0 + 3). Let y = r - 19. Let 2*t**y + 12*t - 2*t**5 - t**2 - 17*t**3 + 2*t**5 - 3*t**4 + 4 + 3*t**5 = 0. What is t?
-1, -2/5, 1, 2
Let p(z) be the second derivative of 8/15*z**3 + 1/6*z**4 + 13*z + 4/5*z**2 + 1/50*z**5 + 0. Solve p(v) = 0.
-2, -1
Let v(b) = -b**3 + b**2 + 1. Let s(k) = k**3 + 14*k**2 + 5*k + 4. Let n = 3 + -2. Let f(h) = n*s(h) - 4*v(h). Solve f(m) = 0 for m.
-1, 0
Suppose -54*d + 59*d - 30 = 0. Suppose -1 - 5*m**2 + 20*m - m + d*m - 19 = 0. What is m?
1, 4
Let j = -858/5 - -38117/220. Let c = j - 10/11. Factor -c*s - 3/4*s**2 + 0.
-3*s*(s + 1)/4
Let g(q) = -q**3. Let s(k) = 2*k**3 + 3*k**2 - k - 1. Let n(b) = -3*g(b) - s(b). Let x be n(3). Factor 2*a**x - 4*a**4 + a**3 + a**3.
-2*a**3*(a - 1)
Let s(i) be the first derivative of 26 - 5/18*i**3 + 1/2*i**2 + 1/24*i**4 + 0*i. Suppose s(k) = 0. What is k?
0, 2, 3
Let z(l) be the first derivative of l**4/4 - 5*l**3 + 75*l**2/2 - 125*l + 93. Factor z(t).
(t - 5)**3
Let z(g) be the first derivative of 1/3*g**3 + 0*g - g**2 - 10 + 1/4*g**4. Solve z(q) = 0.
-2, 0, 1
Let l(g) be the third derivative of -g**8/67200 + g**7/25200 + g**6/3600 - 7*g**4/12 - 8*g**2. Let y(h) be the second derivative of l(h). Factor y(d).
-d*(d - 2)*(d + 1)/10
Factor 3373 - 3373 - f**2 + 2*f.
-f*(f - 2)
Let i = 21151/18 + -1175. Let x(z) be the second derivative of 1/36*z**4 - 9*z - i*z**3 + 0 + 0*z**2. Factor x(t).
t*(t - 1)/3
What is x in 2 - 5/2*x + 1/2*x**2 = 0?
1, 4
Let m be (-4380)/(-135) + 6/27. Let z(x) be the first derivative of m*x**3 - 1 + 8*x - 28*x**2. Determine p so that z(p) = 0.
2/7
Let k(t) be the first derivative of 1/2*t**2 + 10 - 1/3*t**3 + 0*t. Let k(g) = 0. Calculate g.
0, 1
Let a(k) be the third derivative of -10*k**2 - 1/630*k**7 + 0*k**3 + 0 + 1/180*k**5 + 1/360*k**6 + 0*k - 1/72*k**4. Suppose a(l) = 0. Calculate l.
-1, 0, 1
Let h(l) be the third derivative of 0*l + 10*l**2 - 1/3*l**4 + 1/30*l**6 + 0 + 1/15*l**5 + 0*l**3. Factor h(z).
4*z*(z - 1)*(z + 2)
Determine c so that -23*c**2 + 5*c**2 + 15*c**2 + 36*c - 108 = 0.
6
Let p(g) be the first derivative of g**4/22 - 24*g**3/11 - 156*g**2/11 - 320*g/11 + 206. Find c, given that p(c) = 0.
-2, 40
Let k(f) be the third derivative of -f**6/960 + 13*f**5/480 - 5*f**4/24 + 3*f**3/4 - 2*f**2 + 77. Solve k(b) = 0.
2, 9
Let b be (-3)/(-7 - -1)*20. Suppose b + 8 = 6*o. Factor 8/9*l**4 - 26/9*l**o + 10/3*l**2 - 14/9*l + 2/9.
2*(l - 1)**3*(4*l - 1)/9
Let x be (5/(135/24))/((-2)/(-9)). Factor 0*t**2 + 3/4*t**3 - t + 0 + 1/4*t**x.
t*(t - 1)*(t + 2)**2/4
Let j(h) = h**3 + h**2. Suppose 5*o + 18 = -2*p, 0 = -0*p - 3*p + 5*o + 23. Let x(d) = -6*d**3 + 6*d**2. Let b(s) = p*x(s) + 3*j(s). Factor b(n).
-3*n**2*(n - 3)
Suppose -3*k - 8 = 1. Let v be ((-4)/10)/(k/120). Factor 34*n + 5*n**3 + v*n**2 + 8 - 14*n - n**3.
4*(n + 1)**2*(n + 2)
Let q(r) = 2*r + 9. Let x be q(3). Let z be -4 - ((-276)/x)/4. Factor 3/5*k**3 + 0 - z*k**2 + 1/5*k - 1/5*k**4.
-k*(k - 1)**3/5
Let k be 772/114 + (-1)/6 + 112/1824. Factor -16/3 - 4/3*a**2 + k*a.
-4*(a - 4)*(a - 1)/3
Factor -10 + 2/3*x**2 - 28/3*x.
2*(x - 15)*(x + 1)/3
Let t(d) be the third derivative of -2/75*d**5 + 0*d + 1/60*d**4 + 10*d**2 + 0*d**3 + 0. Determine r so that t(r) = 0.
0, 1/4
Let z(j) = -3376*j**2 + 260*j - 5. Let p(a) = 40510*a**2 - 3120*a + 60. Let h(l) = -2*p(l) - 25*z(l). Factor h(f).
5*(26*f - 1)**2
Factor -30*n - 10 - 3*n**4 + 2 - 1390*n**2 + 1351*n**2 - 20*n**3.
-(n + 1)**2*(n + 4)*(3*n + 2)
Suppose 28 = 53*y - 49*y + 4*p, -6*y = 4*p - 32. Factor -1/3*w + 0 - 1/3*w**y.
-w*(w + 1)/3
Let u(b) be the first derivative of -4/9*b**3 + 1/6*b**4 + 2/15*b**5 - 12 + 0*b + 0*b**2. Suppose u(a) = 0. Calculate a.
-2, 0, 1
Let v be (-4 - -8) + 0/(-3). Suppose 0 = -v*y + 14 + 18. Determine q, given that 6*q**2 - 16 + 6*q**2 - y*q + 10*q**3 + 5*q**4 - 3*q**4 = 0.
-2, 1
Let n be 12 + -3 - 336/64. Factor 1/4*k**3 + 75/4*k + 125/4 + n*k**2.
(k + 5)**3/4
Let g = -3 + 6. Let m = -62 + 64. Solve 5/3*p**m - 4/3*p**g + 0 - 1/3*p = 0 for p.
0, 1/4, 1
Let u(h) = -h**3 - 10*h**2 + 35*h - 24. Let t be u(-13). Let d be (-14 - -10) + t/6. What is s in -1/6*s**2 - 2/3 + d*s = 0?
2
Let r(l) be the first derivative of -56/3*l**2 + 16*l - 20/9*l**3 + 6. Find u such that r(u) = 0.
-6, 2/5
Let q(a) be the second derivative of -5*a**4/3 - 136*a**3 + 82*a**2 - 84*a. Let q(y) = 0. Calculate y.
-41, 1/5
Let g(k) be the first derivative of 1/8*k**2 - 14 + 1/16*k**4 + 1/6*k**3 + 0*k. Find v, given that g(v) = 0.
-1, 0
Let i be (-2)/(24/20)*3. Let o(z) = -2*z**4 + 5*z**3 - 3*z**2 + 5. Let a(y) = 6*y**4 - 14*y**3 + 8*y**2 - 14. Let n(t) = i*a(t) - 14*o(t). Factor n(w).
-2*w**2*(w - 1)*(w + 1)
Let l(z) be the first derivative of -2*z**3/27 - 26*z**2/9 - 50*z/9 - 8. What is r in l(r) = 0?
-25, -1
Let h(y) be the third derivative of 2/33*y**3 + 20*y**2 + 0*y + 1/660*y**6 + 2/165*y**5 + 5/132*y**4 + 0. Factor h(c).
2*(c + 1)**2*(c + 2)/11
Let n be ((-540)/819)/5 - 2/(-7). Factor -4/13*f + 2/13 + n*f**2.
2*(f - 1)**2/13
Let r = -29 - -32. Suppose -3 = -3*c - f - 0, r*f = -4*c - 1. Suppose -3/2 - 3*a**c + 15/4*a + 3/4*a**3 = 0. Calculate a.
1, 2
Let h(q) be the second derivative of -q**7/140 - q**6/20 - q**5/8 - q**4/8 + 13*q**2/2 - 9*q. Let r(s) be the first derivative of h(s). What is f in r(f) = 0?
-2, -1, 0
Let w(x) be the third derivative of -x**7/840 + x**6/90 - x**5/30 - 7*x**3/2 + 9*x**2. Let p(y) be the first derivative of w(y). Factor p(d).
-d*(d - 2)**2
Let y(m) be the first derivative of -m**7/4200 - m**6/450 - m**5/150 + 20*m**3/3 - 29. Let t(i) be the third derivative of y(i). Let t(u) = 0. Calculate u.
-2, 0
Let v be 3/8*-2*9720/(-240). Let 3/8*n**2 - 27/4*n + v = 0. What is n?
9
Let x be -4 + (46/9 - (-64)/(-144)). Factor 4/3*b - 2/3 - x*b**2.
-2*(b - 1)**2/3
Suppose -18*x**4 + 25*x**5 - 3*x**3 + 0*x**5 + 18*x**2 - 12*x**5 - 10*x**5 = 0. Calculate x.
-1, 0, 1, 6
Let a(v) be the third derivative of 0 + v**2 + 1/27*v**4 - 4/27*v**3 - 1/270*v**5 + 0*v. Suppose a(d) = 0. Calculate d.
2
Let k be ((-50)/990)/((-15)/9). Let x(a) be the second derivative of -k*a**3 + 1/66*a**4 - 5*a + 0 - 2/11*a**2. Factor x(j).
2*(j - 2)*(j + 1)/11
Let g be (-32)/(-56) - (1 - 25/42). Let m(x) be the second derivative of 0 + 11*x + 1/6*x**4 - x**2 + 1/20*x**5 - g*x**3. Factor m(j).
(j - 1)*(j + 1)*(j + 2)
Let f(w) be the second derivative of -2*w - 1/19*w**3 + 0 + 0*w**2 - 1/114*w**4. Factor f(h).
-2*h*(h + 3)/19
Let m(u) be the second derivative of 0*u**2 + 0 - 5*u + 3/10*u**5 + 0*u**3 + 1/10*u**6 + 1/4*u**4. Factor m(a).
3*a**2*(a + 1)**2
Let s(i) be the second derivative of i**7/252 - i**6/30 - 13*i**5/60 + 3*i**4 - 335*i**3/36 + 25*i**2/2 + 174*i + 2. Solve s(y) = 0.
-6, 1, 5
Let d(k) = -k**4 + 8*k**3 + 11*k**2 - 8*k - 10. Let b(v) = -v**4 + 9*v**3 + 11*v**2 - 9*v - 10. Let l(p) = 5*b(p) - 6*d(p). What is t in l(t) = 0?
-2, -1, 1, 5
Let m = 15 - 12. Let d(k) = -k**3 + 3*k**2 + 2*k - 4. Let t be d(m). Factor 2*x**t + 62*x - 53*x + x**2.
3*x*(x + 3)
Factor -2898*f + 147/2*f**4 + 2733*f**2 + 1323/2 + 966*f**3.
3*(f + 7)**2*(7*f - 3)**2/2
Find m, given that 7*m + m**2 + 5*m - m**4 - m**3 - 11*m = 0.
-1, 0, 1
Let j(y) be the third derivative of 1/840*y**7 + 0 + 0*y - 1/480*y**6 + 1/96*y**4 - 1/240*y**5 + 0*y**3 + 14*y**2. Find s such that j(s) = 0.
-1, 0, 1
Let h(a) be the first derivative of -a**4 + 8*a**2 + 518. What is d in h(d) = 0?
-2, 0, 2
Let n be (-952)/(-60)*(178/6 + -3). Let y = 424 - n. Factor -y*m**2 + 10/9*m - 4/9 + 2/9*m**3.
2*(m - 2)*(m - 1)**2/9
Let j(w) be the first derivative of 0*w - 3/8*w**2 - 10 + w**3. Let j(m) = 0. Calculate m.
0, 1/4
Determine i, given that 4/3*i**3 + 0 - 40/9*i**2 + 0*i + 4/9*i**4 = 0.
-5, 0, 2
Let w = -2748 + 2751. Let v(k) be the second derivative of 0*k**2 - 1/12*k**4 + 0 + 0*k**w + 8*k. Factor v(s).
-s**2
Let t(i) be the second derivative of -1/60*i**5 + 0 + i**2 + 1/24*i**4 + 1/6*i**3 - 1/120*i**6 - 4*i. Let b(v) be the first derivative of t(v). Factor b(y).
-(y - 1)*(y + 1)**2
Let o(b) be the second derivative of 5/2*b**3 - 5/3*b**4 - 5*b + 0 + 1/4*b**5 + 0*b**2. Suppose o(m) = 0. What is m?
0, 1, 3
Let k(n) be the first der