
Suppose w - 9 = -1. Suppose -w = u - 5*u. Factor -4*p**2 + 4*p**4 + 0*p**3 - 5*p + 4*p**3 - 2 + 2*p**2 + p**5 + 0*p**u.
(p - 1)*(p + 1)**3*(p + 2)
Factor 2/9*k**2 - 32/9*k + 56/9.
2*(k - 14)*(k - 2)/9
Let -1/7*h**2 - 8/7 - 9/7*h = 0. What is h?
-8, -1
Let c(o) be the third derivative of -o**7/105 - o**6/30 + o**5/10 + 2*o**4/3 + 4*o**3/3 + 435*o**2. What is n in c(n) = 0?
-2, -1, 2
Solve -17*y**4 + y**5 + 9*y**5 + 6*y**3 - 2*y**3 + 6*y**5 - 3*y**4 = 0.
0, 1/4, 1
Determine o, given that 3/4*o**2 + 27 - 9*o = 0.
6
Let k(u) = u**3 + u - 1. Let g(t) = 2*t - 4*t**2 - 3 - 2*t**3 + 2*t**2 + 6*t**3 - 2*t**3. Let q(z) = 2*g(z) - 6*k(z). What is d in q(d) = 0?
-1, 0
Let r(u) be the first derivative of u**2/2 - 1. Let o(a) = 3*a**2 - 8*a. Let k(z) = o(z) + 2*r(z). Factor k(x).
3*x*(x - 2)
Let v be 4/14 + 5/(35/523). Let n be (-18)/(-42) + v/21. Find y such that y**3 - 4*y**2 - 1/2 + 2*y**5 - 3*y + 9/2*y**n = 0.
-1, -1/4, 1
Suppose 1255 + 1275 = 5*s. Factor 257*z**5 - 6*z**4 + 18*z**4 - s*z**5 + 12*z**3 + 4*z**2 + 253*z**5.
4*z**2*(z + 1)**3
Let q(p) = 64*p**3 - 28*p**2 - 20*p - 116. Let g(n) = 3*n**3 - 2*n**2 + n - 1. Let h(w) = 20*g(w) - q(w). Find s such that h(s) = 0.
-4, -2, 3
Let l be ((-20)/(-15))/(1 + (-5)/9). Let f(u) = -u - 6. Let a be f(-8). Suppose 6*p**a - 4*p + 3*p**2 + 5*p**2 + 8*p**l = 0. What is p?
-2, 0, 1/4
Let a(j) be the first derivative of -28 - j + 3/8*j**2 + 1/12*j**3. Factor a(x).
(x - 1)*(x + 4)/4
Let l(a) be the first derivative of -4*a**5/5 - 5*a**4/2 - 8*a**3/3 - a**2 + 73. Factor l(i).
-2*i*(i + 1)**2*(2*i + 1)
Suppose 0 = -5*l + 1697 + 2423. Let x be (-721)/l*2/(-14)*3. Factor 3 + 9/2*a + x*a**3 + 9/4*a**2.
3*(a + 2)**3/8
Let z(i) be the second derivative of 0 - 1/3*i**4 + 1/8*i**5 + 1/2*i**2 + 1/12*i**3 - 45*i. Factor z(x).
(x - 1)**2*(5*x + 2)/2
Let s(n) be the third derivative of n**8/1344 + n**7/420 - n**6/240 - n**5/60 + n**4/96 + n**3/12 - 46*n**2 - 3*n. Determine r so that s(r) = 0.
-2, -1, 1
Let m = 26258 - 262793/10. Let i = -41/2 - m. Let -2/5*h + 4/5*h**2 - i + 2/5*h**3 = 0. Calculate h.
-2, -1, 1
Let g(j) = -6 - j + 3*j + 0*j. Let i be g(4). Factor -2*k**2 - 5*k**i - 4*k + 5*k**2 + 4*k**2.
2*k*(k - 2)
Let g(p) = -2*p**3 - 8*p**2 + 110*p + 98. Let n(h) = -h**2 + h + 1. Let u(j) = 2*g(j) - 36*n(j). Factor u(q).
-4*(q - 10)*(q + 1)*(q + 4)
Let v(k) = -2*k**3 + 16*k**2 - 8*k - 9. Let g be v(7). Factor 24*w**2 + 21*w**5 + 142*w**3 + 99*w**4 - g*w**3 - 9*w**4 - w**3.
3*w**2*(w + 2)**2*(7*w + 2)
Let o = 302/481 - 6/481. Factor 0 + 10/13*a**2 - o*a**3 - 2/13*a.
-2*a*(a - 1)*(4*a - 1)/13
Find i, given that 110*i**2 + 12 + 276*i + 128 + 22*i**2 - 4*i**3 = 0.
-1, 35
Let l be (-14)/(1 - (-22)/(-6)). Let f = 4232 - 4220. Factor f*k + l*k**2 + 3.
3*(k + 2)*(7*k + 2)/4
Let q(a) be the third derivative of a**7/840 - a**6/80 + 11*a**5/240 - a**4/16 + 5*a**2 - 6*a. Factor q(i).
i*(i - 3)*(i - 2)*(i - 1)/4
Let d = 5629 - 5624. Let 6/7*o + 0*o**2 + 48/7*o**4 - 36/7*o**3 + 0 - 18/7*o**d = 0. Calculate o.
-1/3, 0, 1
Let p(a) be the third derivative of a**7/1050 - a**6/600 - a**5/25 - 232*a**2. Determine c, given that p(c) = 0.
-3, 0, 4
Suppose 9*l = -4 + 58. Let j be (-34)/l + 4 - -3*1. Find x, given that 0*x - j*x**4 + 2*x**5 - 10/9*x**3 + 0 + 4/9*x**2 = 0.
-2/3, 0, 1/3, 1
Suppose -983*g - 117 = -1022*g. What is q in -4/7*q + 4/7*q**g - 4/7*q**2 + 4/7 = 0?
-1, 1
Let q(u) = -u + 2. Let b be q(-3). Suppose -b*a = -2*c + c - 14, 5*a = -5*c + 20. Factor -6*m + a*m**4 + 15*m**2 - 6*m + 4*m**2 - 12*m**3 + 3 - m**2.
3*(m - 1)**4
Let p(d) be the second derivative of -d**4/18 + 8*d**3/9 - 4*d**2 - 5*d + 4. Factor p(g).
-2*(g - 6)*(g - 2)/3
Suppose 0 = 6*h - 12 - 18. Suppose 10*d = h*d. Factor 0*o**2 + 0 - 1/3*o**4 + 0*o + d*o**3 - 1/3*o**5.
-o**4*(o + 1)/3
Let l = 34583/92264 - -2/11533. Suppose l*p + 3/8*p**2 - 3/4 = 0. What is p?
-2, 1
Find v such that 6/5*v**4 - 98/5*v**3 + 36/5 - 178/5*v**2 - 38/5*v = 0.
-1, 1/3, 18
Let o(k) be the first derivative of 21 - 7/4*k**4 + 0*k - 1/2*k**6 + 1/3*k**2 + 5/3*k**5 + 1/3*k**3. Factor o(f).
-f*(f - 1)**3*(9*f + 2)/3
Let r(n) be the third derivative of 3/32*n**4 + 0*n + 0 + 18*n**2 - 1/80*n**5 - 1/4*n**3. Let r(a) = 0. What is a?
1, 2
Let g(m) be the second derivative of 5*m**3 - 9/8*m**4 - 3*m**2 - 15*m + 0. Let g(n) = 0. What is n?
2/9, 2
Factor -1083/2 + 1/2*z**3 + 35/2*z**2 + 247/2*z.
(z - 3)*(z + 19)**2/2
Suppose 0 = 5*n - 4*u - 35, 3*n - n + 14 = -4*u. Let l = 239 - 237. Factor -9/2*q + 3/2*q**n + 0*q**l + 3.
3*(q - 1)**2*(q + 2)/2
Let x(p) = p + 10. Let v be x(-8). Suppose -5*u + 3*t + 8 = -0*t, v*u + t = 12. Factor 4 + u*i**2 - 12*i**2 + 8*i + 12*i**4 - 8*i**3 - 8*i**2.
4*(i - 1)**2*(i + 1)*(3*i + 1)
Suppose 135 = -132*s + 177*s. Let g(u) be the first derivative of -u**4 - 9 + 8*u - 8/3*u**s + 2*u**2. Determine k, given that g(k) = 0.
-2, -1, 1
Let i(c) be the second derivative of -c**4/8 - c**3 - 42*c. Suppose i(q) = 0. Calculate q.
-4, 0
Let o be 981/(-117) - (1 - 10). Factor -2/13*l**3 + 0*l - 6/13*l**2 + o.
-2*(l - 1)*(l + 2)**2/13
Let c(m) be the first derivative of 3/4*m**4 + 0*m - 2 + 1/20*m**5 - 5/2*m**2 + 9/2*m**3. Let x(n) be the second derivative of c(n). Factor x(g).
3*(g + 3)**2
Suppose 10*u = -5*u - 1995. Let m = 135 + u. Determine w so that 3*w + 3 + 3/4*w**m = 0.
-2
Suppose -38*v = -168 - 22. Let c(d) be the first derivative of 0*d - 4*d**2 + 4 + 2*d**4 + 4/3*d**3 - 4/5*d**v. Factor c(y).
-4*y*(y - 2)*(y - 1)*(y + 1)
Let w be 56/7*(-1 - 5 - -5) - -8. Factor w*q - 1/4*q**2 + 0.
-q**2/4
Let j(l) be the first derivative of -l**5/50 + l**4/5 - 7*l**3/30 + 209. Factor j(w).
-w**2*(w - 7)*(w - 1)/10
Let s(z) be the second derivative of -z**7/273 - z**6/39 - 7*z**5/130 - z**4/26 + 2*z - 556. Factor s(g).
-2*g**2*(g + 1)**2*(g + 3)/13
Let t(r) be the third derivative of r**7/25 - 31*r**6/200 + r**5/5 - 3*r**4/40 - 679*r**2. Determine f so that t(f) = 0.
0, 3/14, 1
Factor -90/13*r - 2/13*r**3 - 108/13 - 24/13*r**2.
-2*(r + 3)**2*(r + 6)/13
Let t(f) be the first derivative of 0*f - 2/5*f**2 - 4/15*f**3 - 1. Determine m so that t(m) = 0.
-1, 0
Let n(v) be the first derivative of -v**6/90 - v**5/30 + 8*v**3/3 - 8. Let c(w) be the third derivative of n(w). Solve c(j) = 0.
-1, 0
Let i be (6/4)/(2/4). Suppose -2*s = -l - 13, 0 = -24*s + 27*s - 2*l - 22. Determine r, given that -2*r**5 + 1/2 - 2*r + 1/2*r**4 + s*r**i - r**2 = 0.
-1, 1/4, 1
Let x(v) be the second derivative of -23/12*v**4 + 3/4*v**5 + 11/4*v**3 - 3/20*v**6 - 8*v + 0 + 1/84*v**7 - 9/4*v**2. Factor x(h).
(h - 3)**2*(h - 1)**3/2
Let v(k) be the second derivative of -k**7/1260 - k**6/60 - 3*k**5/20 - 3*k**4/4 + 7*k**3/2 + 2*k. Let g(y) be the second derivative of v(y). Factor g(b).
-2*(b + 3)**3/3
Let a = 123 - 186. Let j = -60 - a. Factor -1/3*s**4 + 1/3*s**2 + 0*s + 0*s**j + 0.
-s**2*(s - 1)*(s + 1)/3
Let y(b) = -6*b**4 + 92*b**3 - 96*b**2 + 5*b - 15. Let v(d) = 8*d**4 - 138*d**3 + 144*d**2 - 7*d + 21. Let s(x) = -5*v(x) - 7*y(x). Find g such that s(g) = 0.
-24, 0, 1
Let l = 40216 - 201078/5. What is f in -l*f**3 + 0 + 4/5*f + 2/5*f**2 = 0?
-1, 0, 2
Factor -67*w - 7 - 44*w**3 + 108*w**2 + 10*w**4 + 39 - 6*w**4 - 33*w.
4*(w - 8)*(w - 1)**3
Let q(n) be the third derivative of n**6/360 - n**5/36 - n**4/18 + 10*n**3/9 + n**2 - 87*n. Find g, given that q(g) = 0.
-2, 2, 5
Let u(n) be the third derivative of -n**8/1848 - 4*n**7/1155 - n**6/165 + n**2 + 13. Suppose u(b) = 0. Calculate b.
-2, 0
Let w(j) = j**3 - 6*j**2 - 12*j + 39. Let y be w(7). Let m(q) be the first derivative of -y - 4/9*q**3 + 5/6*q**2 - 2/3*q + 1/12*q**4. Factor m(t).
(t - 2)*(t - 1)**2/3
Let q(w) = w - 17. Let p be q(-25). Let k be (-17)/28 + p/(-56). Suppose 12/7*u**3 - 4/7*u - 9/7*u**4 - k + 2/7*u**2 = 0. Calculate u.
-1/3, 1
Find l, given that 3*l + 9 + 32*l**2 + 1 - 35*l**2 - 4 = 0.
-1, 2
Factor -i + 1/4*i**4 + 0 - 7/4*i**2 - 1/2*i**3.
i*(i - 4)*(i + 1)**2/4
Let c(l) be the second derivative of -3*l**5/100 + 3*l**4/10 - 12*l. Factor c(x).
-3*x**2*(x - 6)/5
Let v(u) be the first derivative of -1/48*u**4 + 1 + 1/8*u**3 + 0*u**2 + u. Let b(h) be the first derivative of v(h). Find x, given that b(x) = 0.
0, 3
Suppose 2/3*x**3 + 0 - 2/3*x + 2/3*x**4 - 2/3*x**2 = 0. Calculate x.
-1, 0, 1
Let o = -15567/8 - -1946. Solve 21/8*z - z**2 - 9/4 + o*z**3 = 0 for z.
2, 3