
Let c = 40 - 38. Let 2/7*v - 4/7 + 6/7*v**c = 0. Calculate v.
-1, 2/3
Let w(h) be the first derivative of -3*h - 1/30*h**4 - 2 - 1/5*h**2 + 2/15*h**3. Let y(g) be the first derivative of w(g). Find u, given that y(u) = 0.
1
Let b(o) = -2*o**2 - o + 3. Let l(n) = n**2 - 1. Let g(j) = -3*b(j) - 7*l(j). Solve g(m) = 0.
1, 2
Factor 2/15*z + 0 + 2/15*z**2.
2*z*(z + 1)/15
Let s(o) be the second derivative of -o**5/140 + o**3/42 - 13*o. Let s(l) = 0. Calculate l.
-1, 0, 1
Let i(l) be the first derivative of 2*l**3/3 - 7*l**2 + 12*l - 27. Find d, given that i(d) = 0.
1, 6
Let n(q) be the third derivative of q**7/945 - 14*q**2. Factor n(z).
2*z**4/9
Let c(j) be the first derivative of 7*j**6/780 + j**5/195 - 7*j**4/156 - 2*j**3/39 + 7*j**2/2 + 4. Let v(x) be the second derivative of c(x). Factor v(p).
2*(p - 1)*(p + 1)*(7*p + 2)/13
Let h be (49/(-2))/(1 + -2). Let i be (1 - 0)*(-5 - -7). Factor -16*v - h*v**3 - 2 - 77/2*v**i.
-(v + 1)*(7*v + 2)**2/2
Suppose -w - 2 = -2*w. Let j(f) be the second derivative of 1/6*f**4 + 1/3*f**3 + 0*f**w - 2*f + 0. Let j(h) = 0. What is h?
-1, 0
Let p = -887/7 + 127. Let l = 242 - 240. Factor 0*m**l + 0 - 2/7*m**4 + 0*m + p*m**3.
-2*m**3*(m - 1)/7
Let b(g) be the second derivative of -g**8/5040 + g**7/840 - g**6/360 + g**5/360 - 7*g**3/6 + 3*g. Let h(u) be the second derivative of b(u). Factor h(x).
-x*(x - 1)**3/3
Factor -2/7*c**2 - 20/7 - 22/7*c.
-2*(c + 1)*(c + 10)/7
Let t be (-12 + 13)*(-1)/(-4). Let f(p) be the first derivative of 2/5*p + 7/10*p**2 + 3/5*p**3 + 1 + t*p**4 + 1/25*p**5. Factor f(g).
(g + 1)**3*(g + 2)/5
Solve -2/7*l**4 - 24/7*l + 4/7*l**2 + 8/7*l**3 - 18/7 = 0 for l.
-1, 3
Factor -9/4 - 3*z - 3/4*z**2.
-3*(z + 1)*(z + 3)/4
Let t(j) = 3*j**2 + 11*j + 8. Let u be t(-3). Let -16*v**4 + v**u - 16/3*v**5 - 31/3*v**3 + 2/3*v + 0 = 0. Calculate v.
-2, -1, -1/4, 0, 1/4
Let k be 1/(-3 - (-5)/2). Let v be (k/18)/((-4)/24). Factor 0*m**4 + 0 - 1/3*m**5 + 0*m**2 + v*m**3 - 1/3*m.
-m*(m - 1)**2*(m + 1)**2/3
Let i(v) be the first derivative of v**3/12 + 9*v**2/4 + 81*v/4 + 5. Find a, given that i(a) = 0.
-9
Let m = -4 + 7. Factor m + 1 + 3*s - 2*s**2 - s + 0*s.
-2*(s - 2)*(s + 1)
Let k = 22 + -14. Factor k*o**3 + 1 - 12*o**3 + 4*o - 3*o**2 + 3 - o**2.
-4*(o - 1)*(o + 1)**2
Let p = 61/55 - 10/11. Suppose 0*s**3 + 2/5*s**2 - p + 0*s - 1/5*s**4 = 0. What is s?
-1, 1
Let 3/7*z**3 - 6/7 - 3/7*z + 6/7*z**2 = 0. What is z?
-2, -1, 1
Suppose 4*u + 3*h - 21 = u, u - 22 = -4*h. Suppose 8 = 36*o - 32*o. Factor 7*a**o - a**u - 4*a**2.
2*a**2
Let x(u) = -4*u**5 + 2*u**4 + 6*u**3 + 2*u**2 - 2*u. Let v(g) = -g**5 + g**4 + g**3 + g**2. Let r(p) = 2*v(p) - x(p). Let r(o) = 0. Calculate o.
-1, 0, 1
Let p(i) be the first derivative of 2*i**3/3 - i**2/2 - 3*i + 9. Factor p(t).
(t + 1)*(2*t - 3)
Let h(s) = -3*s**2 + 2*s - 2. Let d(c) = -c**2 - 1. Suppose -4*q - q - 10 = 0. Let p(k) = q*d(k) + h(k). Find a, given that p(a) = 0.
0, 2
Let y(a) = -5*a**5 - a**4 + 6*a**3 + 6*a**2 - 6*a - 6. Let v(w) = -10*w**5 - w**4 + 11*w**3 + 11*w**2 - 11*w - 11. Let b(n) = -6*v(n) + 11*y(n). Factor b(m).
5*m**4*(m - 1)
Let p be (7 - 5)*(-2 + 0). Let f be 0/(p/6*-3). Suppose -2/5*t**4 + 16/5*t + 12/5*t**3 - 24/5*t**2 + f = 0. Calculate t.
0, 2
Let o(s) be the third derivative of -s**7/280 - s**6/40 - 3*s**5/40 - s**4/8 + 2*s**3/3 + 3*s**2. Let n(c) be the first derivative of o(c). Factor n(h).
-3*(h + 1)**3
Let f(h) be the second derivative of 1/7*h**3 - 6*h + 0 - 1/7*h**2 - 1/14*h**4 + 1/70*h**5. Find z such that f(z) = 0.
1
Factor -18 - 2*y - y**2 + 9 - 4*y.
-(y + 3)**2
Let i(u) be the first derivative of u**4/30 - u**3/15 + 7*u - 2. Let m(h) be the first derivative of i(h). Find g, given that m(g) = 0.
0, 1
Let l(r) be the third derivative of -1/8*r**4 + 0 - 1/20*r**5 - 7*r**2 + 0*r**3 + 0*r. Factor l(a).
-3*a*(a + 1)
Let l be ((4 - (-4)/(-1))/(-1))/2. Let u(t) be the second derivative of 0*t**2 + l*t**4 - 1/70*t**5 + 0*t**3 - 3*t + 0. Solve u(d) = 0 for d.
0
Factor -4*h**2 + 5*h**3 - 2*h**3 + 7*h**2 - 3*h - 3.
3*(h - 1)*(h + 1)**2
Let j(b) = 12*b**2 - 2*b - 14. Suppose 3 + 7 = 2*s. Let n(p) = 8*p**2 - p - 9. Let q(v) = s*j(v) - 8*n(v). Find l, given that q(l) = 0.
-1, 1/2
Let t(q) = -q**2 + 12*q - 6. Let b(w) = 13*w - 6. Let s(v) = 4*b(v) - 5*t(v). Let z(k) = -16*k**2 + 24*k - 18. Let y(r) = -20*s(r) - 6*z(r). Factor y(d).
-4*(d - 3)*(d - 1)
Let t(a) be the first derivative of a**4/16 - a**3/12 + 7. Find x such that t(x) = 0.
0, 1
Factor -8*y - 12*y**4 + 2*y**3 + 0*y**4 + 5*y**4 + 4*y**2 + 6*y**4.
-y*(y - 2)**2*(y + 2)
Factor 8/3*j**3 + 0 - 8/3*j**2 + 0*j - 2/3*j**4.
-2*j**2*(j - 2)**2/3
Let i(f) be the first derivative of -f**5/10 + f**4/4 - f**3/6 + 2. Factor i(y).
-y**2*(y - 1)**2/2
Let h(w) = 3*w**2 - 1. Let q(x) = -13*x**2 - x + 5. Let u(l) = -l + 10. Let f be u(8). Let p(g) = f*q(g) + 9*h(g). Factor p(m).
(m - 1)**2
Let t(q) = -q**2 - q. Let s be t(-1). Suppose s*h = 2*h. Factor h + 1/4*a**2 + 1/2*a.
a*(a + 2)/4
Let t(y) be the first derivative of 11/3*y**2 + 4 + 28/9*y**3 + 4/3*y. What is a in t(a) = 0?
-1/2, -2/7
Factor -22 - s**2 - 11 + 34 - s**3 + s.
-(s - 1)*(s + 1)**2
Let z be (-4)/(-12) + -7 - -7. Find f, given that 0 - 2/3*f + z*f**3 + 1/3*f**2 = 0.
-2, 0, 1
Suppose -6 = -2*p + p. Let n be 26/p - (-7)/(-21). Factor n*z - 5*z**3 - 1 + 6*z**3 + z**2 - 5*z.
(z - 1)*(z + 1)**2
Factor -1/2*d**2 + 8/3*d - 5/6.
-(d - 5)*(3*d - 1)/6
Let s be (-6 - (-528)/90)*-5. Suppose -3*c + 15 = 4*z, 2*c + 20 = 6*c. Let 2/3*o + 2/3*o**2 - 2/3*o**4 - s*o**3 + z = 0. Calculate o.
-1, 0, 1
Let w(h) be the first derivative of -2*h**6 - 9*h**5/5 + 15*h**4/4 + 3*h**3 - 3*h**2/2 - 2. Solve w(o) = 0.
-1, 0, 1/4, 1
Let l = 2 + -5. Let w(f) = -3*f + 2. Let n be w(l). Determine r so that -3*r**2 - 8*r + 0*r**2 + n*r = 0.
0, 1
Let t(g) be the second derivative of 2*g**6/15 - g**4/3 - 8*g. Find m such that t(m) = 0.
-1, 0, 1
Let d(h) be the second derivative of h**4/12 + h**3/6 + 3*h. What is c in d(c) = 0?
-1, 0
Let w be ((-12)/20)/1*-1. Let a be ((-3)/(-4))/(45/120). Factor 3/5 - w*o**a + 0*o.
-3*(o - 1)*(o + 1)/5
Let n(m) = 10*m**4 + 28*m**2 - 16*m - 6. Let c(q) = 3*q**4 + 9*q**2 - 5*q - 2. Let d(s) = -16*c(s) + 5*n(s). Factor d(g).
2*(g - 1)**2*(g + 1)**2
Factor 2*j + 0*j + 0*j**5 - 4*j**4 - 2*j**5 + 4*j**2 + 0*j.
-2*j*(j - 1)*(j + 1)**3
Determine t, given that -210*t + 8*t**3 - 29*t**2 + 45 + 154*t**2 - 28*t**3 = 0.
1/4, 3
Let g(p) = 10*p**2 - 30*p. Let q(l) = -5*l**2 + 15*l. Let h(w) = -4*g(w) - 9*q(w). Let h(d) = 0. Calculate d.
0, 3
Suppose 5 = 5*a - 5*y, 4*y + 4 = 3*a + 1. Let g(t) = t**4 - t**3 + t. Let d(u) = 9*u**4 - 8*u**3 - 4*u**2 + 8*u + 1. Let b(v) = a*d(v) - 6*g(v). Solve b(m) = 0.
-1, -1/3, 1
Let p(t) = t**3 - 5*t**2 - 4*t - 7. Let l be p(6). Let s = 8 + -6. Factor h**5 - 2 + 5*h**2 - 4*h**3 - s*h**4 + 2*h - h**2 + h**l.
2*(h - 1)**3*(h + 1)**2
Let w be (-3)/5 + 12/20. What is q in 2*q + 38*q**4 - 36*q**4 - 2*q**2 - 2*q**3 + w*q**3 = 0?
-1, 0, 1
Let o(l) = l**3 - 3*l**2 - 2*l - 6. Let j be o(4). Let 0*g**3 + 2/5 + 0*g - 4/5*g**j + 2/5*g**4 = 0. What is g?
-1, 1
Let l be 14/84 - (14/12 - 1). Let -1/2*y**2 + l + 0*y = 0. What is y?
0
Let l(c) be the second derivative of -c**4/36 - 2*c**3/9 - 2*c**2/3 - 32*c. Factor l(g).
-(g + 2)**2/3
Let p(w) be the third derivative of -w**7/420 - w**6/36 - 2*w**5/15 - w**4/3 - w**3/3 - 2*w**2. Let j(x) be the first derivative of p(x). Factor j(s).
-2*(s + 1)*(s + 2)**2
Let w(p) be the first derivative of 5*p**4/16 + p**3/12 - 5*p**2/8 - p/4 + 3. Factor w(y).
(y - 1)*(y + 1)*(5*y + 1)/4
Let i(r) be the first derivative of r**7/1155 - r**6/330 - r**5/330 + r**4/66 + r**2 - 4. Let s(b) be the second derivative of i(b). Factor s(y).
2*y*(y - 2)*(y - 1)*(y + 1)/11
Let h = -3 + 9. Let r be 1/(-2) + h/12. Factor r + 2/3*x**2 - 2/3*x.
2*x*(x - 1)/3
Let c = 921/10 + -92. Let z(k) be the third derivative of 1/60*k**6 + 0 + 0*k + c*k**5 - k**2 + 1/4*k**4 + 1/3*k**3. Solve z(f) = 0 for f.
-1
Suppose 36*y + 15 = 39*y. Factor 0*d + 0 + 0*d**2 + 0*d**4 + 1/4*d**3 - 1/4*d**y.
-d**3*(d - 1)*(d + 1)/4
Let w(n) = 15*n**2 - 39*n. Let h(i) = -3*i**2 + 8*i. Let s(z) = -24*h(z) - 5*w(z). Factor s(b).
-3*b*(b - 1)
Let y(d) be the second derivative of 3/80*d**5 - 3*d + 0*d**2 + 0 - 1/16*d**4 - 1/120*d**6 + 1/24*d**3. Suppose y(j) = 0. Wh