Let d(j) = j**4 + 7*j**3 - 3*j**2 + 5*j - 5. Let o(q) = 4*d(q) - 5*s(q). Solve o(k) = 0 for k.
-3, 0, 1
Let n(m) be the second derivative of 1/30*m**5 + 0*m**2 + 0*m**3 - 2*m + 0 - 1/18*m**4. Find x, given that n(x) = 0.
0, 1
Let h be 6*(-1)/(-6)*(4 + 0). Factor 0*v + 4/7*v**3 + 0 - 2/7*v**h - 2/7*v**2.
-2*v**2*(v - 1)**2/7
Determine c, given that 1/11*c**5 - 14/11*c**2 + 5/11*c**4 + 2/11*c**3 - 3/11*c + 9/11 = 0.
-3, -1, 1
Let n be ((-10)/25)/((-1)/5). Let v(m) = m**2 - m + 1. Let s(q) = -1. Let a(h) = n*s(h) + 2*v(h). Determine j, given that a(j) = 0.
0, 1
Let z(k) be the third derivative of -k**5/210 + k**4/28 + 4*k**3/21 - 32*k**2. Factor z(j).
-2*(j - 4)*(j + 1)/7
Let i(m) = m - 3. Let c be i(5). Factor 3*y**2 - y**c - 3*y + 3*y.
2*y**2
Let p(t) be the first derivative of -5*t**4/4 + 20*t**3 - 90*t**2 + 27. Determine m so that p(m) = 0.
0, 6
Let m = 177 + -175. Factor -6/5*c**m - 3*c**3 + 0 + 0*c - 3/5*c**5 - 12/5*c**4.
-3*c**2*(c + 1)**2*(c + 2)/5
Let w = 1/5 - 1/30. Let h(r) be the first derivative of w*r**4 + 4/45*r**5 + 0*r - 1 + 2/27*r**3 + 0*r**2. Suppose h(v) = 0. What is v?
-1, -1/2, 0
Let h(l) = 0*l + 3*l + 2 - l**2 + 0*l. Let a be h(3). Determine k so that 2*k + 0*k**4 - k**4 + 6*k**3 + 6*k**a + 3*k**4 = 0.
-1, 0
Let u(s) = 2*s - 9. Let p be u(8). Factor -16*o**3 + 16*o**2 - 11*o**4 - p*o**4 + 22*o**4.
4*o**2*(o - 2)**2
Suppose -4*q + 28 = 3*m, 0 = -q + 6*q - 4*m - 4. Let o be 3 + 19*q/(-28). What is a in -4/7*a + 6/7*a**2 - o*a**4 + 0 + 0*a**3 = 0?
-2, 0, 1
Let i = -151/9 + 17. Suppose -2/9*k**2 + 0 - i*k**3 + 4/9*k = 0. Calculate k.
-2, 0, 1
Let z be (-4)/14 + 32/14. Let b(o) be the second derivative of -1/8*o**z + 1/24*o**3 - 1/40*o**5 + 1/168*o**7 - 1/120*o**6 + 1/24*o**4 - o + 0. Factor b(f).
(f - 1)**3*(f + 1)**2/4
Suppose 1 - 7 = -k. Suppose 0 = -3*x + 5*q - 1 + 16, 0 = -5*x + 2*q + k. Factor 2/3*m**4 + x*m + 2/3 + 0*m**3 - 4/3*m**2.
2*(m - 1)**2*(m + 1)**2/3
Let s(a) = -35*a**4 + 25*a**3 + 10*a**2 + 3*a + 3. Let n(y) = 245*y**4 - 175*y**3 - 70*y**2 - 20*y - 20. Let c(v) = 3*n(v) + 20*s(v). Find o such that c(o) = 0.
-2/7, 0, 1
Suppose 4*x + x = 10. Suppose -x = -4*i + 6. Solve -2/7*c**i - 2/7*c**3 + 0 + 0*c = 0.
-1, 0
Suppose 4*u - u + 4*k = 20, -4*u + 2*k = -12. Let l(v) be the first derivative of 1/14*v**u + 0*v + 0*v**2 - 2/21*v**3 - 1. Factor l(j).
2*j**2*(j - 1)/7
Let p(h) = -h**3 - 9*h**2 - 7*h + 10. Let i be p(-8). Find t such that 16*t**4 - 11*t**3 - t**3 + 0*t + 4*t + 16*t**5 - 8*t**i = 0.
-1, 0, 1/2
Suppose -2*j + k = -2, 4*k = -3*j - 0*j - 8. Find g such that g**2 + 4*g**4 - 5*g**4 + j*g**2 = 0.
-1, 0, 1
Let n(w) be the second derivative of -w**5/20 + w**4 + 7*w. Let d be n(12). Factor -2/3*a**3 + 0 + d*a**2 + 2/3*a.
-2*a*(a - 1)*(a + 1)/3
Let y = -103/20 + 27/5. Let j(k) be the second derivative of 1/12*k**3 - 1/40*k**5 - 4*k + 0 + 1/24*k**4 - y*k**2. Factor j(c).
-(c - 1)**2*(c + 1)/2
Let v(o) be the second derivative of 2*o**6/15 + o**5/5 - o**4 - 2*o**3/3 + 4*o**2 + 49*o - 2. Let v(y) = 0. Calculate y.
-2, -1, 1
Let w(f) be the first derivative of -1/5*f**5 - 2/5*f**4 - 1/25*f**6 - 3*f - 2/5*f**3 - 1/5*f**2 + 1. Let a(d) be the first derivative of w(d). Factor a(i).
-2*(i + 1)**3*(3*i + 1)/5
Let q be (-84)/35*5/(-3). Let v(l) be the first derivative of 0*l + 0*l**2 + 1/4*l**q + 3 - 2/5*l**5 + 2/3*l**3 - 1/6*l**6. Factor v(c).
-c**2*(c - 1)*(c + 1)*(c + 2)
Let h(q) be the first derivative of q**4/4 + q**3/3 - q**2 - 9. Let h(v) = 0. Calculate v.
-2, 0, 1
Let n(h) be the third derivative of -3*h**2 - 7/96*h**4 + 0 - 1/12*h**3 + 3/80*h**5 + 0*h. Factor n(z).
(z - 1)*(9*z + 2)/4
Let v be (12/(-15))/(2/(-20)). Let y be (-6)/v*(-24)/81. Factor -y*k**2 + 0 + 4/9*k.
-2*k*(k - 2)/9
Suppose 0*a - 4*f = -a + 24, -2*a = -2*f - 30. Suppose a + 2*n**3 - 10*n**2 + n**2 - 5*n**3 = 0. What is n?
-2, 1
Factor -4/7*i**2 + 20/7 - 16/7*i.
-4*(i - 1)*(i + 5)/7
Let c(m) be the third derivative of -2*m**7/35 + m**6/60 + 2*m**5/45 - m**4/36 - 6*m**2. Factor c(q).
-2*q*(2*q + 1)*(3*q - 1)**2/3
Let a = 3 + -1. Suppose -c + 21 = -v + 5*v, 5*v = c + 15. Factor -3*t**v + t**2 - 3*t**2 - 2*t**3 + a*t**5 + 5*t**4.
2*t**2*(t - 1)*(t + 1)**2
Let g = 9 + -1. Let z be (2/(-4))/((-2)/g). Factor -2*f - 2*f**2 - z*f**2 + 3*f + f**3 + 6*f**2.
f*(f + 1)**2
Let i(b) be the third derivative of b**6/210 - b**5/105 + 9*b**2. Factor i(o).
4*o**2*(o - 1)/7
Let i(s) = 26*s - 100. Let f be i(4). Determine o, given that 0 + 3/2*o**2 + 9/2*o**3 + 9/2*o**f + 0*o + 3/2*o**5 = 0.
-1, 0
Suppose -46*w**2 + 840/11*w + 60/11*w**3 - 2/11*w**4 - 392/11 = 0. What is w?
1, 14
Let b(q) be the third derivative of q**9/120960 - q**7/3360 + q**6/720 + 2*q**5/15 - 3*q**2. Let w(n) be the third derivative of b(n). Solve w(a) = 0.
-2, 1
Let k(d) be the second derivative of 9/20*d**5 + 0*d**2 + 0 + 1/10*d**6 + 3/4*d**4 - 4*d + 1/2*d**3. Solve k(j) = 0.
-1, 0
Suppose 5*f - k = -6*k - 15, 2*f + 21 = -5*k. Suppose -3*q**f - 1/3*q**4 + 7/3*q - 2/3 + 5/3*q**3 = 0. What is q?
1, 2
Suppose 0 - 3*s**4 + 0*s**3 + 3*s**2 + 3/2*s - 3/2*s**5 = 0. Calculate s.
-1, 0, 1
Let n(z) = z - 3. Suppose -2 = -5*o + 23. Let a be n(o). Let f**4 - 7 + 7 + f**a + 2*f**3 = 0. What is f?
-1, 0
Let u be (-24)/224 - 1/(-4). Let i(r) be the first derivative of 2/21*r**3 - 1 - 2/35*r**5 + 1/14*r**4 - u*r**2 + 0*r. Factor i(o).
-2*o*(o - 1)**2*(o + 1)/7
Let a(b) be the first derivative of b**6/75 + 2*b**5/25 + b**4/6 + 2*b**3/15 - b + 3. Let y(i) be the first derivative of a(i). Determine n so that y(n) = 0.
-2, -1, 0
Let n(m) be the second derivative of m**5/20 + m**4/2 - m**3/6 - 3*m**2 - 39*m. Let n(q) = 0. What is q?
-6, -1, 1
Suppose 0 - 6/5*r**2 - 2/5*r**4 + 6/5*r**3 + 2/5*r = 0. Calculate r.
0, 1
What is v in 972/7 - 108/7*v + 3/7*v**2 = 0?
18
Let l(u) be the second derivative of -u**5/60 + u**4/12 + u**3/18 - u**2/2 - 34*u. Factor l(z).
-(z - 3)*(z - 1)*(z + 1)/3
Let x(k) be the first derivative of k**4/20 + 4*k**3/15 - 32. What is t in x(t) = 0?
-4, 0
Let p(z) = 12*z**2 + 64*z + 100. Let q(r) = -4*r**2 - 21*r - 33. Let a(y) = -3*p(y) - 8*q(y). Determine j so that a(j) = 0.
-3
Let y(z) be the first derivative of z**8/5880 - z**7/735 + z**6/210 - z**5/105 + z**4/84 - z**3/3 + 1. Let g(h) be the third derivative of y(h). Factor g(k).
2*(k - 1)**4/7
Let d(k) = -k**4 - k**3 - k**2 - k. Let b(l) = -2*l**4 - l**3 - 4*l**2 - 5*l. Let o(g) = -b(g) + 3*d(g). Determine t so that o(t) = 0.
-2, -1, 0, 1
Suppose b = -5*q + q + 16, -4*b + 4*q + 4 = 0. Solve y**5 + 4*y**4 + y**4 + 3*y**3 - y**b + y**3 = 0 for y.
-2, 0
Determine f, given that -4/9*f**3 - 2/9*f**4 + 0 + 0*f - 2/9*f**2 = 0.
-1, 0
Let k = 0 - -2. Factor 1 - 3*i**k + i**2 - 2*i**2 + 3.
-4*(i - 1)*(i + 1)
Let m(l) be the third derivative of 2*l**6/15 + l**5 + 2*l**4 - 8*l**3/3 + 2*l**2. Let m(x) = 0. What is x?
-2, 1/4
Suppose -12 = -4*u - 4*i, -1 = -3*i + 2. Factor u + 2/9*t**2 + 4/3*t.
2*(t + 3)**2/9
Let c(w) be the first derivative of 2/5*w**2 - 2/5*w - 3 - 2/15*w**3. Solve c(q) = 0 for q.
1
Let f be (-1)/((-2)/18) + 1*-3. Let j(m) be the second derivative of 3*m + 0 + 0*m**5 + 1/18*m**4 - 1/6*m**2 + 0*m**3 - 1/90*m**f. What is k in j(k) = 0?
-1, 1
Let w be 3/3 + (1 - -2). Factor 2*y**3 - 2*y**4 + 5*y**4 - 2*y**w + y**2 + 0*y**4.
y**2*(y + 1)**2
Suppose 6*g - 15*g**4 + 61*g**2 - 86*g**2 + 35*g**3 - g = 0. Calculate g.
0, 1/3, 1
Let t(i) = i**3 - 1 - 3 + 8*i**2 + 1 - 2 + 6*i. Let z be t(-7). Factor 2*y**z - 17 + 17.
2*y**2
Let u = -3 - -6. Suppose 4*x - 2 = u*x. Suppose 2/7*h - 4/7*h**x + 0 + 2/7*h**3 = 0. Calculate h.
0, 1
Let w(g) = -8*g**4 - 6*g**2 + 2*g + 6. Let c(r) = -6*r. Let s be c(-1). Let h(x) = -7*x**4 + x**3 - 6*x**2 + 2*x + 5. Let t(y) = s*h(y) - 5*w(y). Factor t(j).
-2*j*(j - 1)**3
Let t(z) be the third derivative of z**5/30 - z**3/3 - 3*z**2. Suppose t(n) = 0. Calculate n.
-1, 1
Let q(a) = -a - 15. Let z be q(-15). Let v be 1/6*6/4. Factor z*y - 1/4*y**2 + v.
-(y - 1)*(y + 1)/4
Let t be 9/10*(-7 - 130/(-15)). Factor -3*h - t*h**2 - 3/2.
-3*(h + 1)**2/2
Suppose m - 2 = -0*m. Let f(n) be the first derivative of -3 - n - 1/3*n**3 + n**m. Solve f(p) = 0 for p.
1
Let u(d) be the third derivative of d**5/30 + 5*d**4/2 + 75*d**3 - 39*d**2 + 1. Factor u(y).
2*(y + 15)**2
Factor 6/5*b + 0 + 2/5*b**2.
2*b*(b + 3)/5
Let g(v) be the first deri