w(n) = 0?
-1, 1
Let d(p) be the third derivative of p**7/350 + p**6/20 + 9*p**5/100 + 2*p**2 + 4. Factor d(u).
3*u**2*(u + 1)*(u + 9)/5
Let -1/2*b**3 - 1/2*b**2 + 1/4*b + 1/4*b**5 + 1/4*b**4 + 1/4 = 0. Calculate b.
-1, 1
Suppose 5*w + 13 = 2*l, 4*w = l - 2*l. Factor 0 + 69*x**2 + 13*x**l + 12*x**4 - 7*x + 35*x + 70*x**3 + 4.
(x + 1)**2*(5*x + 2)**2
Let f(m) = -m**2 + m - 1. Suppose 5*r + 21 = g, 4*r = 4*g - 0*r - 20. Let t(i) = -6 - g + 3*i + 3 - 4*i**2. Let x(z) = -10*f(z) + 2*t(z). Factor x(a).
2*(a - 1)**2
Let n(x) be the first derivative of -2*x - 1/20*x**5 - 1/6*x**4 + 0*x**2 - 2 - 1/6*x**3. Let y(h) be the first derivative of n(h). Factor y(u).
-u*(u + 1)**2
Let y be (-224)/(-22) + (-4)/22. Suppose -3*q + q + y = -3*a, 2 = -3*q - 4*a. Factor q*x**2 - 14/5*x + 4/5.
2*(x - 1)*(5*x - 2)/5
Let b(r) be the first derivative of -2/3*r**3 - 3*r**2 + 4 + 0*r. Factor b(p).
-2*p*(p + 3)
Let n(k) be the second derivative of -k**8/5040 - k**7/2520 + k**6/540 + k**3/6 - 3*k. Let l(m) be the second derivative of n(m). What is v in l(v) = 0?
-2, 0, 1
Factor -4*t**2 + 5*t + 7*t - 4*t + 0*t**2.
-4*t*(t - 2)
Let d(p) = 36*p**3 + 68*p**2 + 32*p + 24. Let t(o) = o**2 + o + 1. Let y(i) = d(i) - 24*t(i). Find m, given that y(m) = 0.
-1, -2/9, 0
Let l be 2/(-8) - (-15)/60. Let m(y) be the first derivative of l*y - y**2 + 1 + 5/4*y**4 + y**3. Factor m(p).
p*(p + 1)*(5*p - 2)
Suppose 2/7*p - 6/7*p**2 + 4/7 + 2/7*p**4 - 2/7*p**3 = 0. What is p?
-1, 1, 2
Let w(j) be the first derivative of j**3/18 - 2*j/3 + 4. Factor w(r).
(r - 2)*(r + 2)/6
Let k(s) be the second derivative of -s**7/231 - 16*s**6/165 - 73*s**5/110 - 3*s**4/11 + 108*s**3/11 - 216*s**2/11 + 6*s. Factor k(m).
-2*(m - 1)**2*(m + 6)**3/11
Let k(c) be the first derivative of -c**6/21 - 2*c**5/35 + c**4/14 + 2*c**3/21 + 38. Determine r so that k(r) = 0.
-1, 0, 1
Let n be (-5601)/35 - 8/20. Let v = 161 + n. Factor v*s + 0 + 6/7*s**3 - 10/7*s**2.
2*s*(s - 1)*(3*s - 2)/7
Find a such that -128/19 - 2/19*a**2 - 32/19*a = 0.
-8
Let i = 14 + -21. Let s = i - -37/5. What is x in 2/5*x**2 - 4/5*x + s = 0?
1
Let s be 32/6 - 40/120. Determine c, given that 0 - 8/7*c - 20/7*c**4 + 2*c**3 + 6/7*c**s + 8/7*c**2 = 0.
-2/3, 0, 1, 2
Let u(o) be the first derivative of -o**8/504 + o**7/315 + o**6/180 - o**5/90 - o**2/2 - 3. Let x(c) be the second derivative of u(c). Factor x(q).
-2*q**2*(q - 1)**2*(q + 1)/3
Let k(w) be the third derivative of w**7/1155 - 7*w**6/660 + 8*w**5/165 - w**4/11 - 12*w**2. Find p, given that k(p) = 0.
0, 2, 3
Let q(y) = 9*y**2 + 4*y - 5. Let u be (-2 - -3 - 0)*2. Let t(n) = -5 + 4*n**2 + 3 + 0*n + 2*n. Let a(l) = u*q(l) - 5*t(l). Determine f, given that a(f) = 0.
-1, 0
Let y = 155/28 - 21/4. What is p in 30/7*p - 2*p**2 + y*p**3 - 18/7 = 0?
1, 3
Let u(d) be the third derivative of 0*d**3 - 3*d**2 + 0*d + 0*d**5 + 0*d**4 + 0 + 1/120*d**6. Factor u(x).
x**3
Let 4/9 + 0*o - 1/9*o**2 = 0. What is o?
-2, 2
Let g(u) = -3*u**2 + 15*u - 18. Let a(q) = -3*q**2 + 15*q - 18. Let f(m) = -3*a(m) + 4*g(m). Determine k, given that f(k) = 0.
2, 3
Let i(g) be the third derivative of 0*g**3 + 1/210*g**5 + g**2 + 0 + 0*g - 1/84*g**4. Determine h, given that i(h) = 0.
0, 1
Let n(b) = -b + 3 + 10 + 5. Let w be n(14). Factor 2/5*z**3 + 0*z**2 + 2/5*z**w + 0*z + 0.
2*z**3*(z + 1)/5
Let j be 288/270 + (-4)/10. Factor 0*r + j*r**2 + 0 - 2/3*r**3.
-2*r**2*(r - 1)/3
Let o = 3 - -1. Suppose -o*a = -0*a - 8. Factor 2*m**a + 2*m + 0*m**2 - 2 - 3*m**3 + m**3.
-2*(m - 1)**2*(m + 1)
Let q(z) = -2*z**2 - 4*z - 8. Let k(j) be the second derivative of j**4/6 + 5*j**3/6 + 4*j**2 - 2*j. Let b(l) = -4*k(l) - 3*q(l). Factor b(i).
-2*(i + 2)**2
Factor 12*b**2 - 20/3*b**3 + 4/3*b**4 - 28/3*b + 8/3.
4*(b - 2)*(b - 1)**3/3
Let j(p) be the first derivative of p**9/1008 - p**7/140 + p**5/40 - 5*p**3/3 - 2. Let a(c) be the third derivative of j(c). Factor a(h).
3*h*(h - 1)**2*(h + 1)**2
Let s be (-12)/(3*1/4). Let w be 0/1 - s/10. What is r in -98/5*r**2 + 56/5*r - w = 0?
2/7
Let c = -17 - -9. Let u be -10*(-2 + c/(-5)). Factor 2 + 2*k - u*k - 3 + k**2 - 2*k**2.
-(k + 1)**2
Let w(b) = 3*b**4 - 33*b**3 + 105*b**2 - 75*b. Let m(h) = -3*h**4 + 33*h**3 - 105*h**2 + 75*h. Let g(y) = 4*m(y) + 5*w(y). Factor g(v).
3*v*(v - 5)**2*(v - 1)
Let l = 3 - 0. Let p(j) be the third derivative of 1/30*j**5 + 0*j**l - j**2 + 0*j + 0 + 0*j**4. Factor p(y).
2*y**2
Let -5/7*d**4 - d**2 - 1/7*d**5 + 0 - 9/7*d**3 - 2/7*d = 0. What is d?
-2, -1, 0
Find v, given that -15*v - 7*v + 30*v - 2*v**3 = 0.
-2, 0, 2
Let g be (0 + -1)*(-3 - 1). Let m(o) be the first derivative of -2/3*o**6 - 1/5*o**5 + 0*o**2 + 2 + o**g + 0*o + 1/3*o**3. Determine z, given that m(z) = 0.
-1, -1/4, 0, 1
Let b(u) be the second derivative of -3*u**4/16 + 11*u**3/24 - u**2/4 + 7*u. Factor b(j).
-(j - 1)*(9*j - 2)/4
Let g(a) be the first derivative of a**9/1512 + a**8/840 + a**3 + 2. Let p(b) be the third derivative of g(b). Suppose p(t) = 0. Calculate t.
-1, 0
Suppose 14 = 5*g + 44. Let y be (-174)/(-42) - g/(-2). Factor -2/7*j**4 + 0*j**2 - y*j + 6/7*j**3 + 0.
-2*j*(j - 2)**2*(j + 1)/7
Let j be (-32)/(-14) + 4/(-14). Let c = 590/3 - 194. Factor 2/3*z**4 - c*z**3 - 4/3*z + 10/3*z**j + 0.
2*z*(z - 2)*(z - 1)**2/3
Let d(y) be the third derivative of 8*y**7/35 + y**6 + 17*y**5/20 + y**4/4 - 10*y**2. What is n in d(n) = 0?
-2, -1/4, 0
Factor -2/5*l**5 + 0*l**2 + 2/5*l**3 + 0 + 0*l + 0*l**4.
-2*l**3*(l - 1)*(l + 1)/5
Let q = -468 - -2342/5. Factor 0 - q*d - 2/5*d**2.
-2*d*(d + 1)/5
Let t(c) be the second derivative of 9*c**5/20 - 13*c**4/3 + 23*c**3/2 + 9*c**2 - 10*c. Factor t(j).
(j - 3)**2*(9*j + 2)
Suppose 9 = -2*c - 5*y, 2*y = -3*c + c. Suppose -2*r + 2*b = b + 2, -c*r + 2*b - 4 = 0. What is i in 0*i**2 + 2/3*i**4 + 0*i + r - 2/3*i**3 = 0?
0, 1
Let a(x) be the third derivative of x**5/420 + x**4/84 + x**3/42 - 3*x**2. Factor a(m).
(m + 1)**2/7
Let c(u) = u**3 - u**2 + u - 1. Let g(i) = -40*i**3 - 28*i**2 - 68*i + 16. Let h(y) = -24*c(y) - g(y). Suppose h(n) = 0. What is n?
-2, -1, -1/4
Let o(s) = s**3 - 8*s**2 + 9*s - 10. Let f be o(7). Suppose 0*k - 1 - k**f + 3 + 2*k**3 - 2*k - 1 = 0. Calculate k.
-1, 1
Suppose 0*x - 12/5 + 3*x**2 - 3/5*x**4 + 0*x**3 = 0. Calculate x.
-2, -1, 1, 2
Let a(n) be the second derivative of -n**6/255 + n**5/170 + n**4/102 - n**3/51 + 7*n. Factor a(r).
-2*r*(r - 1)**2*(r + 1)/17
Let y(r) be the first derivative of r**6/15 + 14*r**5/25 + 7*r**4/10 - 46*r**3/15 - 8*r**2/5 + 32*r/5 - 22. What is q in y(q) = 0?
-4, -1, 1
Suppose -5*k - 2 - 8 = 0. Let o = k - -6. Factor -3*z**3 - 8*z**o - 3*z - 9*z**3 - 2*z**5 + z - 8*z**2.
-2*z*(z + 1)**4
Let x(b) be the first derivative of b**4/6 + 3*b + 1. Let v(p) be the first derivative of x(p). Suppose v(n) = 0. Calculate n.
0
Let g be (-22)/(-6) - 2 - 1/(-3). Factor 2/9*z**g + 2/9*z - 2/9*z**3 - 2/9.
-2*(z - 1)**2*(z + 1)/9
Let z(v) be the first derivative of v**7/14 + 2*v**6/5 + 3*v**5/4 + v**4/2 - 4*v - 7. Let b(a) be the first derivative of z(a). Factor b(x).
3*x**2*(x + 1)**2*(x + 2)
Let f(a) = -a**2 + 4. Let p be f(-2). Factor -6*k**3 + 2 - 2*k + 0 - 2*k**2 + 8*k**3 + p*k.
2*(k - 1)**2*(k + 1)
Suppose -2*v = -3*x + 2*x - 2, -4*x - 4*v = -28. Let o(l) be the first derivative of 1/14*l**x + 0*l - 1/7*l**2 - 2/35*l**5 + 2/21*l**3 + 1. Factor o(b).
-2*b*(b - 1)**2*(b + 1)/7
Suppose 0 = 2*v - 17 - 9. Let z = -8 + v. Factor -6 + 9 + z + 3*y**2 + 4 + 12*y.
3*(y + 2)**2
Find b, given that b**2 - 121*b + 129*b + 9 + 6 = 0.
-5, -3
Let v(l) = l**3 - 2*l**2 - 2*l - 4. Let p be v(3). Let k = p + 3. Factor 3*f**3 + 2*f**5 - 4*f**2 - 3*f**3 - k*f + 4*f**4.
2*f*(f - 1)*(f + 1)**3
Factor 0*a**4 - 4/3*a**2 - 2*a**3 + 2/3*a**5 + 0*a + 0.
2*a**2*(a - 2)*(a + 1)**2/3
Suppose 2 = -3*d - 5*n, 2*n + 9 - 3 = 4*d. Let p be (d - -3) + (-32)/12. Factor 2/3*o**3 + 2/3*o**2 + 0 - p*o.
2*o*(o - 1)*(o + 2)/3
Suppose -3*k - 12 = -3*t, -3*k - t = 3*t - 16. Factor 10/3*w**2 - 2*w**3 - 4/3*w + k.
-2*w*(w - 1)*(3*w - 2)/3
Let b = 1 + -3/4. Factor 0*i - b*i**4 + 0 + 1/4*i**3 - 1/4*i**5 + 1/4*i**2.
-i**2*(i - 1)*(i + 1)**2/4
Let 44/7*w**3 - 16/7*w**4 - 8*w**2 - 8/7 + 2/7*w**5 + 34/7*w = 0. Calculate w.
1, 4
Solve -25*j**3 - 13*j**4 - 10*j**4 + 28*j**4 - 65*j**2 - 35*j = 0.
-1, 0, 7
Let o = -18 + 31. Suppose 18*v - o*v = 5. Find x such that 1/2*x**2 - v - 1/2*x = 0