 + 0*i. Factor r(v).
-(v - 1)*(v + 3)
Let k(v) be the third derivative of v**9/120960 - v**8/40320 + v**5/60 - 2*v**2. Let t(z) be the third derivative of k(z). Factor t(w).
w**2*(w - 1)/2
Let j(i) be the second derivative of i**5/110 - 7*i**4/66 - 9*i. Suppose j(d) = 0. What is d?
0, 7
Let a(k) be the third derivative of k**7/2520 - k**6/720 + k**4/24 + k**2. Let u(p) be the second derivative of a(p). Let u(m) = 0. Calculate m.
0, 1
Let p = 29/282 + 3/47. Factor -1/3*j**2 - 1/6*j - p*j**3 + 0.
-j*(j + 1)**2/6
Suppose 0 + 2/5*v**2 - 8/5*v = 0. Calculate v.
0, 4
Suppose 6*u = 4*d + u + 1, 3*d = u + 13. Let i be (-35)/20*d/(-7). Determine j so that -7/2*j**3 - i*j + 1 - 6*j**2 = 0.
-1, 2/7
Suppose 4*h - 19 = -11. Factor -4*i**5 - 24*i + 3*i**4 - 3*i**2 - 12 + 2*i**5 - h*i**5 + i**5 + 15*i**3.
-3*(i - 2)**2*(i + 1)**3
Let i = -70 + 281/4. Determine s, given that 3/2*s**3 + i*s**5 + 1/4*s + 0 + s**2 + s**4 = 0.
-1, 0
Let g(i) be the first derivative of 2*i**5/5 + 3*i**4 + 6*i**3 - 29. Factor g(f).
2*f**2*(f + 3)**2
Let l(c) be the third derivative of 0*c**4 + 0*c - 1/330*c**5 + 0*c**3 + c**2 + 0*c**6 + 1/1155*c**7 + 0. Let l(v) = 0. What is v?
-1, 0, 1
Let h = 7 - 1. Suppose h = d - 0*d. Factor g - d*g**2 + 2*g**3 + 2*g + 3*g - 2.
2*(g - 1)**3
Solve -3 - 24*n**2 + 28*n**2 - 1 = 0.
-1, 1
Let k(a) be the first derivative of 35*a**6/6 - 16*a**5 + 55*a**4/4 - 10*a**3/3 + 20. Factor k(w).
5*w**2*(w - 1)**2*(7*w - 2)
Let c = 7 + -4. Factor -4*p + 4*p**3 + 0*p**2 - p**c + 3*p**2 - 2*p.
3*p*(p - 1)*(p + 2)
Let g(c) = 5*c**2 - 4. Let j be g(3). Suppose 5*m + x - 56 = 0, -m = -5*m + 3*x + j. Factor m - 2*i**3 + 6*i - 15 + 0*i**3.
-2*(i - 1)**2*(i + 2)
Let w(s) = -s**2 - 5*s + 3. Let x be w(-5). Suppose -5*a = 2*l - 36, 0*a + 12 = x*a. Factor 0*r**3 + 7*r + l*r**4 - 2*r**2 - 2 - 4*r**3 - 4*r**2 - 3*r**5.
-(r - 1)**3*(r + 1)*(3*r - 2)
Solve -5/9*g**2 + 0 + 1/3*g**3 - 1/9*g**5 + 1/9*g**4 + 2/9*g = 0 for g.
-2, 0, 1
Let z(x) be the third derivative of x**5/150 + x**4/30 - 8*x**3/15 - 4*x**2 + x. Let z(b) = 0. What is b?
-4, 2
Let s(k) be the third derivative of -k**6/24 - 13*k**5/12 - 10*k**4 - 30*k**3 + 8*k**2. Suppose s(f) = 0. Calculate f.
-6, -1
Let t = 6 + -4. Let t + 1 + b**3 - 3 = 0. Calculate b.
0
Suppose -3*v = 2*v - 25. Suppose 3*x - 15 = -3*h - 2*x, 0 = -5*h + v*x - 15. Determine d, given that h - 16/3*d**2 - 50/9*d**4 - 10*d**3 - 8/9*d = 0.
-1, -2/5, 0
Suppose -4*z + 2*i = -6, 2 = 5*z - 4*i - 10. Let k(q) = 2*q - 5. Let s be k(4). Factor 2/3*v + 2/3*v**4 + 2*v**s + 2*v**2 + z.
2*v*(v + 1)**3/3
Factor 2*o**4 - 2*o**2 - 51*o**3 + 47*o**3 + 3 + 4*o - 3.
2*o*(o - 2)*(o - 1)*(o + 1)
Factor 0*d**2 - 3/5*d**3 + 3/5*d + 0.
-3*d*(d - 1)*(d + 1)/5
Let t = -419 + 1677/4. Find x such that 1/4*x - t*x**4 + 1/4*x**2 + 0 - 1/4*x**3 = 0.
-1, 0, 1
Let g be -1 + 2 - (1 + -2). Suppose -t + 9 - 17 - 3*t + 15*t**g - 3*t**2 = 0. Calculate t.
-2/3, 1
Let i(j) = j**2 - 7*j + 2. Let n be i(7). Determine q, given that -8 + q**2 + 5*q + 3*q - 3*q**n = 0.
2
Find l, given that -2/5*l**3 + 2/5*l**4 + 2/5*l + 4/5 - 6/5*l**2 = 0.
-1, 1, 2
Let x(b) = b**2 - 8*b + 2. Let o(p) = p**3 - p**2 + p + 8. Let w be o(0). Let a be x(w). Find r, given that r + 0 - 1/2*r**a = 0.
0, 2
Let r(u) = -2*u**3 + 12*u**2 - 6*u - 4. Let x(n) = 4*n**3 - 25*n**2 + 12*n + 9. Let j(z) = -13*r(z) - 6*x(z). Suppose j(p) = 0. Calculate p.
1
Factor -6*z**3 - 3/2*z + 0 - 1/2*z**5 - 5*z**2 - 3*z**4.
-z*(z + 1)**3*(z + 3)/2
Let o(j) be the second derivative of -5/8*j**2 + 3*j + 0*j**3 + 5/48*j**4 + 0. Find c such that o(c) = 0.
-1, 1
Solve -23*s**4 + 71*s**4 + 5*s**5 + 2*s**2 + 18*s**3 + 9*s**5 + 18*s**5 = 0 for s.
-1, -1/4, 0
Let z(n) be the first derivative of -n**4/6 + 4*n**3/9 - n**2/3 - 6. Factor z(s).
-2*s*(s - 1)**2/3
Factor 60*q**3 + 30*q**4 + 38*q**5 + 38*q**5 - 71*q**5 + 15*q + 50*q**2.
5*q*(q + 1)**3*(q + 3)
Let d(i) = 4*i**4 + 10*i**3 + 2*i**2 + 2*i - 2. Let x(q) = 8*q**4 + 21*q**3 + 5*q**2 + 5*q - 5. Let p(r) = 5*d(r) - 2*x(r). What is b in p(b) = 0?
-2, 0
Let z = -15 - -15. Let q(g) be the second derivative of z*g**2 - 1/24*g**3 - 1/48*g**4 + 0 + 2*g. Factor q(f).
-f*(f + 1)/4
Let j(q) = q - 1. Let y be j(4). Find l, given that -37*l**4 + 36*l**4 - l**2 - 2*l**2 + y*l**3 + l = 0.
0, 1
Factor -16 + 8*h + 18*h**2 - 8*h**2 - 11*h**2.
-(h - 4)**2
Factor -13*q - 99*q**2 + 9*q + 100*q**2.
q*(q - 4)
Let q(l) be the second derivative of -1/2*l**3 + 0 - 12/5*l**5 - 3*l + 0*l**2 + 2*l**4. Factor q(g).
-3*g*(4*g - 1)**2
Let i be 0*(-5)/10*(-2)/4. Let l(d) be the third derivative of i + d**2 + 0*d**4 + 0*d**3 + 0*d + 1/420*d**6 - 1/210*d**5. Let l(h) = 0. Calculate h.
0, 1
Determine y so that 2/9*y**2 + 2/3*y + 0 = 0.
-3, 0
Factor 3/4*t**4 + 3/2*t - 3/2*t**3 - 3/4*t**2 + 0.
3*t*(t - 2)*(t - 1)*(t + 1)/4
Solve -21*c**2 + 28*c**4 - 13*c**5 - 8*c**3 + 17*c**2 - 3*c**5 = 0 for c.
-1/4, 0, 1
Let f(t) be the second derivative of t**7/3360 - t**5/480 - t**3/6 - 4*t. Let o(n) be the second derivative of f(n). Factor o(j).
j*(j - 1)*(j + 1)/4
Let c be 7/4 - (-8)/32. Solve 2*k + 2*k**2 - 4*k**2 - c*k**2 = 0.
0, 1/2
Let y(x) be the third derivative of -x**7/840 + x**5/30 - 2*x**3/3 - 54*x**2. Suppose y(w) = 0. Calculate w.
-2, 2
Let m(x) be the first derivative of 1/6*x**4 - 2/3*x**2 + 0*x - 2/9*x**3 + 1. Solve m(g) = 0.
-1, 0, 2
Let q(m) be the first derivative of -4*m + 7/3*m**3 - 5 - 6*m**2. Factor q(h).
(h - 2)*(7*h + 2)
Let c(q) = -q**2 - 5*q - 4. Let y be c(-3). Factor 4*w**2 - 33*w**2 - 21*w**y - 40*w + 3 - 11.
-2*(5*w + 2)**2
Let c(o) be the second derivative of -9*o**6/40 + o**4/2 - 5*o**2/2 + 2*o. Let n(a) be the first derivative of c(a). Factor n(i).
-3*i*(3*i - 2)*(3*i + 2)
Let w(h) = -3*h. Let r be w(-1). Factor 14*z + 10*z + 12 + r*z**3 - 28 - 12*z**2 - z**3.
2*(z - 2)**3
Let -5*l - 3*l**3 - 2*l**2 - 12 + 26*l - 4*l**2 = 0. Calculate l.
-4, 1
Factor 1/2*f**4 + 0 - 2*f**2 + 2*f - 1/2*f**3.
f*(f - 2)*(f - 1)*(f + 2)/2
Let k = 97 - 94. Let b + 1/3*b**k + 1/3 + b**2 = 0. Calculate b.
-1
Let v = 116 + -227/2. Let 1/2*a**5 - 1/2 - v*a**4 - 5*a**2 + 5*a**3 + 5/2*a = 0. What is a?
1
Let y = -9 - -12. Suppose m - 6*m**2 + m + 3*m**y - 2*m + 3*m = 0. What is m?
0, 1
Let f(x) be the first derivative of -x + 0*x**4 - 1/3*x**3 - 1 + 1/10*x**5 + 0*x**2. Let u(k) be the first derivative of f(k). Factor u(v).
2*v*(v - 1)*(v + 1)
Factor -4/13 + 92/13*b**3 + 68/13*b**4 + 18/13*b**5 + 48/13*b**2 + 2/13*b.
2*(b + 1)**4*(9*b - 2)/13
Find a such that -10*a**2 - 5*a + 7*a + 11*a**2 - 3 = 0.
-3, 1
Determine v so that 51 - 38 - 24*v**2 + 115 + 28*v**3 - 4*v**4 - 128*v = 0.
-2, 1, 4
Suppose 2 + 23 = 5*s. Suppose -2 + s = d. Suppose d*f**5 + 15*f + 2*f**3 - 30*f**2 - 3 - 15*f**4 + 8*f**3 + 7*f**3 + 13*f**3 = 0. What is f?
1
Let w(h) be the first derivative of h**5/110 - h**4/22 + h**3/11 - h**2/11 - 4*h - 1. Let m(z) be the first derivative of w(z). Solve m(g) = 0 for g.
1
Determine j so that -100/9 - 1/9*j**2 + 20/9*j = 0.
10
Determine c so that 10 - 23*c**2 + 18*c**2 - 31*c + 36*c = 0.
-1, 2
Solve -37*t**2 + 35*t**2 - 2*t + 3 + 1 = 0 for t.
-2, 1
Let t(p) be the third derivative of p**7/70 - p**6/10 + 3*p**5/10 - p**4/2 + p**3/2 + 11*p**2. Factor t(b).
3*(b - 1)**4
Let p be ((-13)/(-4) + -2)*12. Factor 3 - 6 + 35*b**4 - 80*b**3 + p*b**4 + 5 + 12*b**2 + 16*b.
2*(b - 1)**2*(5*b + 1)**2
Suppose -5*j = 3*s + 27, 0 = 4*j - 5*j - 2*s - 4. Let b = j - -8. Let 2*k + 6*k**3 - k**2 - 3*k**2 - 2*k**2 - b*k**4 = 0. What is k?
0, 1
Let m(s) = 2*s**2 - 2*s + 1. Let u be m(2). Suppose 0 = 4*o + u*f - 6, o - 3 - 3 = f. Factor 0 - 1/2*p**o + 1/2*p - 1/2*p**3 + 1/2*p**2.
-p*(p - 1)*(p + 1)**2/2
Let g be (-3)/(-2) - (0 + 1). Let t = -30 - -32. Find w, given that 2*w**3 - g*w**2 + 1/2 - t*w = 0.
-1, 1/4, 1
Let l be (0 + -6)/(-3) + 2. Suppose -l*a - q = 3, 0*a + 2*a + 6 = -2*q. Determine h so that -1/4*h**5 + 0*h**4 + 0 + a*h + 1/4*h**3 + 0*h**2 = 0.
-1, 0, 1
Find m, given that 2 - 25*m**3 - 20*m**2 - 28*m + 21*m**3 - 14 = 0.
-3, -1
Let n(b) be the third derivative of -b**7/42 - b**6/6 - 5*b**5/12 - 5*b**4/12 - 5*b**2. Suppose n(z) = 0. What is z?
-2, -1, 0
Suppose 9 = -3*m, -u + 0*u = -4*m - 12. Solve u*c + 0 - 2/9*c**2 = 0 for c.
0
Let n be 1 - 5/(-1 - -16). Suppose 8/3*t - 4*t**2 - n - 2/3*t**4 + 8/3*t**3 = 0. Calculate t.
1
Let j(p) = -p**3 + 3*