 + 1/3*v**2 - 5*v + 0. Factor n(g).
-(g - 2)*(g + 1)/3
Suppose 0 = -33*k - 12*k + 90. Let u(m) be the third derivative of 1/180*m**5 + 2/9*m**3 - 8*m**k + 0 - 1/18*m**4 + 0*m. Factor u(x).
(x - 2)**2/3
Suppose -2*t = -4 + 56. Let m = 105/4 + t. Factor 0 + 0*k - 1/4*k**4 - m*k**2 + 1/2*k**3.
-k**2*(k - 1)**2/4
Let q(g) be the second derivative of 6*g**3 + 0*g**2 + 11*g + 1/20*g**5 + 0 + g**4. Factor q(z).
z*(z + 6)**2
Suppose -12 + 12 = 7*s. Suppose 0 = -s*o - 5*o + 15. Factor 4/3*i**o - 2/3*i**2 + 2/3*i**4 - 4/3*i + 0.
2*i*(i - 1)*(i + 1)*(i + 2)/3
Let p(h) be the second derivative of h**5/20 + h**4/4 - 5*h**3/3 + 2*h. Let w be p(-5). Suppose 2 - 4*b + 5*b + 2*b + b**2 + w*b = 0. Calculate b.
-2, -1
Let a be (-31)/(-12) + 6/8. Let l(w) = w**2 - w - 3. Let y be l(3). What is j in 0 + 2/3*j**4 + 2/3*j**5 - 2*j**y - 4/3*j - a*j**2 = 0?
-1, 0, 2
Let v = -17 - -5. Let f(c) = -c - 10. Let t be f(v). Suppose -5*y + 3*y + 7*y**t - 4*y + 2 - 2*y**3 - y**2 = 0. What is y?
1
Let n be (-6)/(-5)*60/108. Let z(s) be the first derivative of n*s**4 + 2/3*s**3 - 8/3*s + 7 - 4/3*s**2 + 2/15*s**5. What is q in z(q) = 0?
-2, -1, 1
Factor -2/3*q**2 - 384 + 32*q.
-2*(q - 24)**2/3
Suppose -3*y = -3*i + 33, -827*i + 826*i - y = 7. Solve 11/8*v + 0 - 1/8*v**i = 0.
0, 11
Let w(g) = 4 - 2*g + 2*g**2 + 15*g + 9. Let f(i) = -i**2 - 6*i - 6. Let u(q) = -13*f(q) - 6*w(q). What is y in u(y) = 0?
0
Let a be -7 + 13 - 3/((-6)/66*-6). Factor -2*t - 3/2 - a*t**2.
-(t + 1)*(t + 3)/2
Suppose -2 = 4*d - 5*d. Let b be (-104)/(-3) + (-2)/3. Factor -34 - 2*t - 3*t**4 + b + 3*t**2 + d*t**3.
-t*(t - 1)*(t + 1)*(3*t - 2)
Let u(h) be the first derivative of 0*h**3 + 1/17*h**2 + 11 - 1/34*h**4 + 0*h. Find o such that u(o) = 0.
-1, 0, 1
Suppose -2*o + 1 = 3*p, -77*p + 82*p + 5 = 0. Solve 16/15*l**o - 8/15*l + 0 + 2/15*l**4 - 2/3*l**3 = 0.
0, 1, 2
Let j(q) = q**2 - 15*q - 98. Let p be j(-5). Factor -6/7*r + 0 + p*r**2.
2*r*(7*r - 3)/7
Let t(g) = g**3 - 6*g**2 + 2. Let r be t(6). Suppose 6 = r*v + 2. Factor 3*x - 10*x**2 - x + 2*x - v*x**3 + 12*x**2.
-2*x*(x - 2)*(x + 1)
Let u be ((-14)/(-12))/(-7) - (-101)/30. Suppose -9*x = -0*x - 36. Let u + 104/5*z + 10*z**x + 228/5*z**2 + 38*z**3 = 0. Calculate z.
-2, -1, -2/5
Let v(k) be the third derivative of -6*k**2 + 0*k - 1/180*k**5 - 1/18*k**4 - 2/9*k**3 + 0. Factor v(g).
-(g + 2)**2/3
Factor -2/3*l**3 - 22/3*l - 4*l**2 - 4.
-2*(l + 1)*(l + 2)*(l + 3)/3
Determine l so that 14/5*l**4 + 22/5*l**2 - 4/5*l - 32/5*l**3 + 0 = 0.
0, 2/7, 1
Let t = 8150/21 - 388. Let b(y) be the first derivative of -t*y**3 + 2/7*y - 1/7*y**2 + 1/14*y**4 + 3. Let b(n) = 0. What is n?
-1, 1
Factor -26*c + 12*c**2 + 40/3 + 2/3*c**3.
2*(c - 1)**2*(c + 20)/3
Let y = 2272/5 - 453. Determine n, given that -1/5 + 3/5*n**3 + n - y*n**2 = 0.
1/3, 1
Let o(c) = -8*c**4 - 6*c**3 - 28*c**2 + 92*c - 50. Let u(r) = -r**4 + r**3 - r**2 + r. Let y(m) = -2*o(m) + 14*u(m). Factor y(n).
2*(n - 1)**2*(n + 5)*(n + 10)
Factor 3/2*a**4 + 0 - 11*a**2 - 31/2*a**3 + 0*a.
a**2*(a - 11)*(3*a + 2)/2
Let r be (-549)/(-2928)*(0 - -4). Find j such that -3/4*j**2 + r*j**3 + 0 - 3/2*j = 0.
-1, 0, 2
Let k(j) be the first derivative of j**9/16632 - j**8/4620 + j**7/4620 - 2*j**3/3 - 15. Let u(i) be the third derivative of k(i). Factor u(g).
2*g**3*(g - 1)**2/11
Let m(r) be the second derivative of -1/3*r**3 - 13/12*r**4 + 0 + 0*r**2 - r**5 + 28*r - 3/10*r**6. Let m(d) = 0. What is d?
-1, -2/9, 0
Factor 3/2*t**2 - 1/2*t**4 + 5/2*t - 1/2*t**3 + 1.
-(t - 2)*(t + 1)**3/2
Let o(z) be the second derivative of z**3/3 - z**2/2 - 9*z. Let h be o(1). Find d such that 2*d**3 + 2 + 2*d**3 - h - 3*d = 0.
-1, 1/2
Let s(j) be the third derivative of 0*j**3 - 1/78*j**4 + 24*j**2 - 1/130*j**5 + 0*j - 1/1365*j**7 + 0 + 3/260*j**6 - 1/728*j**8. Let s(v) = 0. Calculate v.
-2, -1/3, 0, 1
Let d(g) be the first derivative of -g**5/25 + g**4/5 + g**3/15 - 2*g**2/5 - 131. Factor d(s).
-s*(s - 4)*(s - 1)*(s + 1)/5
Let d(k) be the first derivative of -k**4/10 - 8*k**3/3 + 43*k**2/5 - 44*k/5 - 235. Let d(o) = 0. What is o?
-22, 1
Let y(o) = -2*o. Let a(g) = -g**3 - 2*g**2 - 10*g. Let i(q) = -a(q) + 5*y(q). Find w, given that i(w) = 0.
-2, 0
Suppose 2*m + 3 - 7 = 0. Suppose -2*r = -r - m. Suppose 2/11*v**r + 2/11*v**3 + 0*v + 0 = 0. What is v?
-1, 0
Let g(n) = -n**2 + 10*n - 3. Let f be g(7). Let s be ((-8)/(-12))/(4/f). Factor -9*w + w - 2*w**2 + 2*w**5 + 6*w + 6*w - 6*w**s + 2*w**4.
2*w*(w - 1)**2*(w + 1)*(w + 2)
Suppose 5*q = -4*r + 1 + 31, -3*q - 3*r = -21. Suppose 0 = -q*v + 8*v. Factor d**3 + 0 + 3*d**4 - 2/3*d**2 + v*d.
d**2*(3*d - 1)*(3*d + 2)/3
Let x(z) be the second derivative of z**6/165 - z**4/66 - 3*z + 15. Factor x(t).
2*t**2*(t - 1)*(t + 1)/11
Let n(y) be the first derivative of 19 + 5/18*y**3 - 17/12*y**2 + y. Factor n(j).
(j - 3)*(5*j - 2)/6
Let b be 4 + (-1 + 1)/((3 - 17)/14). What is o in 40/11*o**3 + 0 + 8/11*o**2 + 0*o + 18/11*o**b = 0?
-2, -2/9, 0
Suppose 5*s - 2*r + 520 = 3*r, -3*r - 120 = s. Let b = s - -111. Suppose -3/2*j + 3*j**b + 0 + 9/4*j**4 - 9/4*j**2 - 3/2*j**5 = 0. Calculate j.
-1, -1/2, 0, 1, 2
Let l(p) be the first derivative of 10*p**2 + 9 - 2 - 24*p - 24*p**2 - p**3 + 5*p**3. Factor l(x).
4*(x - 3)*(3*x + 2)
Let f(m) be the second derivative of 15*m - 1/24*m**4 - 1/20*m**6 - 1/84*m**7 + 0 + 0*m**2 + 0*m**3 - 3/40*m**5. Find p such that f(p) = 0.
-1, 0
Let i(j) = -12*j**2 - 376*j - 8832. Let s(m) = -22*m**2 - 752*m - 17665. Let z(r) = 7*i(r) - 4*s(r). Factor z(q).
4*(q + 47)**2
Let c(p) be the third derivative of p**8/672 + p**7/420 - p**6/120 - 9*p**2 - 16. Factor c(b).
b**3*(b - 1)*(b + 2)/2
Factor 28*j**2 - 1 - 60*j - 13 - 14 - j**4 + 3 - 74*j**2 - 12*j**3.
-(j + 1)**2*(j + 5)**2
Let t be ((-14)/((-378)/(-1)))/(2/(-12)). Solve 2/9*k**4 - t*k - 2/3*k**3 + 0 + 2/3*k**2 = 0.
0, 1
Let z be -1*(19/(-5) + 3). Factor 0 + z*n**4 + 0*n - 28/5*n**3 + 24/5*n**2.
4*n**2*(n - 6)*(n - 1)/5
Let c = 3 - -6. Suppose c*o = 5*o + 12. Factor 8*k**2 + 11*k + 5 - k - o*k**2.
5*(k + 1)**2
Let n(p) be the first derivative of 2*p**3/27 + 46*p**2/3 + 1058*p - 213. Solve n(r) = 0.
-69
Let b be ((-2)/8)/(5/(-100)). Let m be (2/b)/(4/20). Factor x**2 + 3*x**3 - x**2 + m*x**2 + x**2.
3*x**2*(x + 1)
Let t(w) be the second derivative of -12*w**2 - 6*w**3 - 3/40*w**5 - 15*w + 0 - 9/8*w**4. Factor t(j).
-3*(j + 1)*(j + 4)**2/2
Suppose 54 = -31*r + 49*r. Let b(j) be the second derivative of 1/2*j**r - 1/6*j**4 - 5*j + 0 + j**2. What is a in b(a) = 0?
-1/2, 2
Suppose 11*p - 10 = 6*p. Suppose 4*g**4 - 4*g**p - 14 - 4*g + 14 + 11*g**3 - 7*g**3 = 0. Calculate g.
-1, 0, 1
Let a(y) be the second derivative of -1/18*y**4 + 46*y + 0 + 0*y**2 - 1/3*y**3. Factor a(o).
-2*o*(o + 3)/3
Let -104/11*w**3 + 4*w**2 - 12/11 - 128/11*w**4 - 30/11*w**5 + 38/11*w = 0. What is w?
-3, -1, 1/3, 2/5
Let c = 3 - 0. Suppose -27*l = -22*l - 5, 0 = -3*p + c*l + 6. Factor -4*x**p - 76/7*x**2 + 24/7*x + 0.
-4*x*(x + 3)*(7*x - 2)/7
Let i(l) be the second derivative of 1/18*l**3 + 1/42*l**7 - 1/15*l**5 + 11*l + 0 + 0*l**2 + 1/18*l**4 - 1/45*l**6. Let i(j) = 0. Calculate j.
-1, -1/3, 0, 1
Let i = 10 + -7. Suppose -4*f + 2*p + 2 = 0, 2*f - 5*f - 3 = -3*p. Let 2*u - 2/3*u**i - 4/3 + 0*u**f = 0. What is u?
-2, 1
Let j(a) be the third derivative of -a**8/161280 + a**7/10080 - a**6/1440 + 19*a**5/60 - 3*a**2. Let u(f) be the third derivative of j(f). Factor u(t).
-(t - 2)**2/8
Let v(g) = -4*g - 16. Let c be v(-5). Let j be 2 - (3 + -2 + -1). Suppose -j*l**5 - l**c - 3*l**4 - 7*l + 7*l = 0. Calculate l.
-2, 0
Let s = 185 + -414. Let q = 2063/9 + s. Factor q*y**3 + 0 - 2/9*y**2 + 0*y.
2*y**2*(y - 1)/9
Solve -21/5*a + 12/5*a**4 + 1/5*a**5 - 2/5*a**2 - 2 + 4*a**3 = 0 for a.
-10, -1, 1
Let k = -23480/11 + 199159/88. Factor 63/8*p**2 - 441/8*p + k - 3/8*p**3.
-3*(p - 7)**3/8
Let o(k) be the third derivative of 1/42*k**4 + 0*k**3 + 3/140*k**6 + 0 + 1/1176*k**8 + 1/147*k**7 - 9*k**2 + 0*k + 1/30*k**5. What is s in o(s) = 0?
-2, -1, 0
Let q(f) = -f**2 + f. Suppose -2*w = 2*w - 3*j + 13, -3*w + 12 = 5*j. Let u(p) = 11*p**2 - 35*p - 12. Let i(s) = w*u(s) - 2*q(s). Determine h so that i(h) = 0.
-1/3, 4
Let o be (19 - -5)/(-360)*30/(-4). Factor -1/4 + o*r**3 - 1/4*r + 1/2*r**2 - 1/4*r**4 - 1/4*r**5.
-(r - 1)**2*(r + 1)**3/4
Let y(g) = 9*g**3 + g**2 - 5*g + 7. Let d(q) = -q**4 - q