0. Calculate a.
-1, -2/3, 1
Let g be (742/(-4))/(33/48). Let i = 270 + g. Factor i*s**2 - 2/11 + 0*s.
2*(s - 1)*(s + 1)/11
Let y = 1 + -2. Let d(k) = -3*k**5 - 7*k**4 + k**3 + 7*k**2 + 2*k + 1. Let l(b) = b**4 - b**3 - b**2 + b - 1. Let a(g) = y*d(g) - l(g). Factor a(c).
3*c*(c - 1)*(c + 1)**3
Let f(g) be the third derivative of -g**5/300 - g**4/15 - 8*g**3/15 + 4*g**2. Determine t, given that f(t) = 0.
-4
Suppose -2*m = -3*k + 3 + 4, 0 = 5*m - 5. What is a in -k*a**2 + 3/5*a**3 + 6/5*a + 6/5*a**4 + 0 = 0?
-2, 0, 1/2, 1
Suppose 2*z + 55 = 61. Let a(v) be the third derivative of 1/4*v**z + 1/16*v**5 + 0 + 0*v - v**2 + 7/32*v**4. What is t in a(t) = 0?
-1, -2/5
Let z(g) be the third derivative of -g**5/90 - 2*g**4/9 - 16*g**3/9 + 13*g**2. Determine c so that z(c) = 0.
-4
Let b(k) be the first derivative of -3*k**5/5 - 9*k**4/2 - 9*k**3 + 2. Factor b(f).
-3*f**2*(f + 3)**2
Let g(z) be the second derivative of -z**6/6 + z**5/4 + 5*z**4/12 - 5*z**3/6 - 11*z. Determine w so that g(w) = 0.
-1, 0, 1
Let q(n) = -n**4 - n**4 - 2*n**2 + n**2 - n**2 + 4*n. Let p(w) = -3*w**4 - w**2 + 4*w. Let t(g) = 4*p(g) - 5*q(g). Factor t(x).
-2*x*(x - 1)**2*(x + 2)
Let u = -60 + 18. Let s be (-16)/(-7) - (-12)/u. Suppose 0*z + 0*z**s + 2/3*z**3 + 0 = 0. What is z?
0
Suppose -4*a + 17 = 3*m, 2*m + 8*a - 16 = 3*a. Let f be 2/4*(2 + -2). Let 0*k + 0*k**2 + 1/2*k**4 + f + 1/2*k**m = 0. What is k?
-1, 0
Let o(w) be the third derivative of 0 + 0*w**6 + 1/420*w**7 + 0*w**3 + 5*w**2 - 1/120*w**5 + 0*w + 0*w**4. Factor o(t).
t**2*(t - 1)*(t + 1)/2
Let a(r) be the third derivative of r**5/180 - r**4/24 + 3*r**2. Factor a(d).
d*(d - 3)/3
Suppose -40 = 3*o + 2*o. Let l be 8/30 + o/(-20). Suppose 1/3*d - 1/3*d**2 + l = 0. What is d?
-1, 2
Suppose -3/7*k - 2/7 + 1/7*k**4 + 3/7*k**3 + 1/7*k**2 = 0. Calculate k.
-2, -1, 1
Let q(w) = 5*w**2 + 12*w + 4. Let o(a) = 16*a**2 + 36*a + 12. Let j(n) = -4*o(n) + 11*q(n). Factor j(k).
-(3*k + 2)**2
Suppose 0 = -2*n - 2, 3*t - 27 + 18 = 3*n. Determine v so that 2/3*v**t + 0 - 1/3*v - 1/3*v**3 = 0.
0, 1
Let f = 18 + -13. Let j(x) be the first derivative of 0*x - 1/6*x**3 - 2 - 3/4*x**4 + 0*x**2 - 9/10*x**f. Solve j(n) = 0.
-1/3, 0
Let s(a) = a**3 - 23*a**2 - 24*a. Let l be s(24). Factor -4/3*v**2 + 2/3*v**4 + 0*v + l*v**3 + 2/3.
2*(v - 1)**2*(v + 1)**2/3
Let w(j) = j**3 - 10*j**2 - 10*j - 7. Let a be w(11). Factor 0*m**5 + 18*m**2 - 22*m**2 - 2*m + a*m**4 + 2*m**5.
2*m*(m - 1)*(m + 1)**3
Suppose -9 = 5*m - 29. What is v in -18 + m*v**2 - 56*v - 2 + 4 + 14*v**3 = 0?
-2, -2/7, 2
Let z(d) be the second derivative of 1/6*d**4 + 0*d**3 + 0 - d**2 - 3*d. Let z(k) = 0. Calculate k.
-1, 1
Let c(u) be the first derivative of -u**5/25 - u**4/10 - u**3/15 + 10. Find f, given that c(f) = 0.
-1, 0
Suppose f + 0*f = 0. Suppose -3*v = -6*v + 6. Factor -2/5*u**v + f - 1/5*u.
-u*(2*u + 1)/5
Let w(u) = -2*u**3. Let j be w(-1). Let n be 3/1 + 3/(-3). Factor 2*y**2 + 2*y**2 - 5*y**n + j*y.
-y*(y - 2)
Suppose -28 = 37*u - 41*u. Let v(a) be the third derivative of -2*a**2 + 1/360*a**6 + 0*a + 0*a**4 + 0*a**3 + 1/630*a**u + 0 + 0*a**5. Solve v(b) = 0 for b.
-1, 0
Let t be (3/(-6))/((-5)/180). Let q = -16 + t. Factor 18/7*x**4 + 0 + 2*x**q + 2/7*x + 30/7*x**3.
2*x*(x + 1)*(3*x + 1)**2/7
Let t(o) be the first derivative of o**6/40 + 9*o**5/80 + o**4/8 + 4*o - 1. Let v(u) be the first derivative of t(u). Factor v(c).
3*c**2*(c + 1)*(c + 2)/4
Let f(c) = c**2 - 4*c + 5. Let y be f(3). Find r such that -2/7*r**3 + 4/7*r + 0 - 2/7*r**y = 0.
-2, 0, 1
Let t(w) be the third derivative of -5*w**8/336 + w**7/42 + w**6/24 - w**5/12 - 9*w**2. Factor t(v).
-5*v**2*(v - 1)**2*(v + 1)
Let j(i) = -252*i**3 - 492*i**2 - 288*i - 48. Let g(y) = -16 + 14*y - 42*y - 68*y - 164*y**2 - 84*y**3. Let a(x) = 8*g(x) - 3*j(x). Factor a(u).
4*(u + 1)*(3*u + 2)*(7*u + 2)
Let c(i) = i**3 - 4*i**2 - 4*i. Let v be c(5). Suppose 8 = 2*u + 2. Factor v*p**u + 2*p**4 - 4*p**3 - 3*p**3.
2*p**3*(p - 1)
Let x(m) be the first derivative of -m**3 - 3*m**2 + 26. Find n such that x(n) = 0.
-2, 0
Let x(v) = 3*v + 0*v - 5*v. Let i be x(-2). Factor -n**5 - 3*n - 2*n**5 - 12*n**2 + 7*n**4 - 19*n**i - 18*n**3.
-3*n*(n + 1)**4
Solve -6/5*q**2 + 1/5*q**5 - 6/5*q**4 + 11/5*q**3 + 0 + 0*q = 0.
0, 1, 2, 3
Let o(n) be the second derivative of 3*n**2 + 0 - 3/4*n**5 - 2*n**4 - 1/2*n**3 - 3*n. What is z in o(z) = 0?
-1, 2/5
Let a(x) be the second derivative of -x**5/2 - 3*x**4 + 8*x**3/3 + 22*x. Suppose a(c) = 0. Calculate c.
-4, 0, 2/5
Let i be -4*20/(-16)*1. Let q(t) be the second derivative of 0 + 0*t**3 + 0*t**i + 0*t**4 - 3*t + 0*t**2 + 1/21*t**7 - 2/105*t**6. Factor q(o).
2*o**4*(7*o - 2)/7
Let p(i) be the first derivative of i**4/12 + 5*i**3/9 - 37. Find y such that p(y) = 0.
-5, 0
Factor 4*a**2 + 96*a**4 + 6*a**2 - 76*a**4 + 25*a**3 + 5*a**5.
5*a**2*(a + 1)**2*(a + 2)
Let j(i) be the first derivative of 2*i**6/15 - 2*i**5/5 + i**4/3 + 6*i - 3. Let p(r) be the first derivative of j(r). Factor p(s).
4*s**2*(s - 1)**2
Let o(q) = -q - 7. Let w be o(-5). Let x be ((-2)/6)/(1/w). Factor -4/3 + x*g + 2/3*g**2.
2*(g - 1)*(g + 2)/3
Suppose 0 = 5*r - 9 - 1. Suppose -r*q = 1 - 7. Let 0 - 2/3*x**q + 0*x - 5/3*x**4 + 0*x**2 = 0. Calculate x.
-2/5, 0
Let a = 2 - -1. Let h be 2 + 1 + (2 - a). Let 4*q**4 - 4*q**3 - 3*q**5 - 3*q**5 - 4*q**h + 10*q**3 = 0. What is q?
-1, 0, 2/3, 1
Let p = 41 + -41. Let y(k) be the second derivative of 1/40*k**5 + 1/24*k**4 - 1/12*k**3 - 1/4*k**2 + p - 3*k. What is j in y(j) = 0?
-1, 1
Let g(x) be the second derivative of 1/20*x**6 - 1/8*x**4 + 0*x**2 + 8*x + 0*x**5 + 0*x**3 + 0. Suppose g(y) = 0. What is y?
-1, 0, 1
Let j(l) = l**4 - l**3 - l**2 + l - 1. Suppose v = 2 - 1. Let d(y) = 132*y**4 + 58*y**3 + 2*y**2 + 6*y - 6. Let g(q) = v*d(q) - 6*j(q). Let g(t) = 0. What is t?
-2/7, -2/9, 0
Let g(l) be the third derivative of l**2 + 0*l**4 + 1/30*l**6 - 1/30*l**5 + 0 - 1/105*l**7 + 0*l**3 + 0*l. Determine h so that g(h) = 0.
0, 1
Let g(r) be the first derivative of -3*r**4/20 + 3*r**2/10 - 3. Factor g(p).
-3*p*(p - 1)*(p + 1)/5
Suppose 3*v - n - 6 = 7, 4*v + 2*n - 4 = 0. Suppose v*b - 5*b + 10 = 0. Find w, given that w**b + 5*w**3 - w**3 + w + 2*w**3 + 4*w**2 + 3*w**4 + w**4 = 0.
-1, 0
Let s be (8/(-6))/(6/(-9)). Suppose 0*h + 13 = 3*h - s*g, -3*h - 5*g - 1 = 0. Suppose -v**3 - 2*v**2 - 2*v**4 + 4*v**3 + 0*v**h + v**3 = 0. Calculate v.
0, 1
Let k(r) be the third derivative of r**6/180 + r**5/30 + r**4/12 - r**3/2 - 3*r**2. Let c(u) be the first derivative of k(u). Factor c(f).
2*(f + 1)**2
Let s be (3 + -7 - -2)/((-1)/2). Factor 0 + h**3 - h + 1/2*h**2 - 1/2*h**s.
-h*(h - 2)*(h - 1)*(h + 1)/2
Suppose 2/11*i**4 + 0 + 4/11*i**2 + 6/11*i**3 + 0*i = 0. Calculate i.
-2, -1, 0
Let d = -2271 + 27277/12. Let y(a) be the first derivative of 0*a**2 + 1/2*a**5 + d*a**6 + 2/3*a**3 + 0*a - 1 - 2*a**4. Find z, given that y(z) = 0.
-1, 0, 2/5
Let h(q) be the second derivative of 1/33*q**3 + 0 - 1/110*q**5 + 7*q + 1/11*q**2 - 1/66*q**4. Factor h(m).
-2*(m - 1)*(m + 1)**2/11
Let d(r) = -r**5 + 7*r**4 - 4*r**3 + 3*r**2. Let y(f) = f**5 - 4*f**4 + 2*f**3 - 2*f**2. Let c(x) = -3*d(x) - 5*y(x). Let c(p) = 0. What is p?
-1, -1/2, 0, 1
Factor 12/7*d - 27/7*d**3 - 48/7*d**2 + 0.
-3*d*(d + 2)*(9*d - 2)/7
Let v(w) = w**3 + 12*w**2 + w + 12. Let g be v(-12). Let m(z) be the first derivative of g*z + 0*z**2 + 1/6*z**3 - 3. Factor m(s).
s**2/2
Solve -10 + 15*z**2 + 3*z - 9*z - 7*z - 12*z = 0 for z.
-1/3, 2
Let v(b) be the second derivative of -b**4/48 + b**3/12 - b**2/8 + 15*b. Factor v(p).
-(p - 1)**2/4
Let m be (360/(-50))/(-4) - (-1)/5. Solve 3/5*f + 4/5*f**5 - 1/5*f**m + 0*f**4 - 7/5*f**3 + 1/5 = 0 for f.
-1, -1/2, 1
Let v(j) be the third derivative of j**5/150 + j**4/60 - 12*j**2. Factor v(a).
2*a*(a + 1)/5
Let f(t) be the second derivative of -1/4*t**4 + 1/40*t**5 - t**2 + 3/4*t**3 - 7*t + 0. Let f(x) = 0. What is x?
1, 4
Solve -2*v**3 - 2*v**3 + 2*v**3 - 14*v - 3*v**2 + 2 + 17*v = 0.
-2, -1/2, 1
Suppose -5*h - 2 = -5*k + 3, 10 = 5*h. Find f such that -7/2*f**2 - 7/4*f**5 + f**k + 3*f**4 + 3/4*f + 1/2 = 0.
-1, -2/7, 1
Let a(p) be the third derivative of p**8/504 + 2*p**7/105 + p**6/15 + 4*p**5/45 + 2*p**2. Factor a(n).
2*n**2*(n + 2)**3/3
Let u(f) = -7*f**4 + 7*f**2 + 11*f + 1. Let y(p) = 4*p**4 - 3*p**2 - 5*p. Let s(v) = 3