Suppose -k*i + 1 = -2*s, -4*s = -0*s + 2*i - 10. Factor 1/4*d**4 + 3/4*d - 3/4*d**3 - 1/2 + 1/4*d**s.
(d - 2)*(d - 1)**2*(d + 1)/4
Let g(w) be the first derivative of w**4 + 20*w**3 + 126*w**2 + 196*w - 129. What is f in g(f) = 0?
-7, -1
Find r such that -74/7*r**2 - 78/7 + 2/7*r**3 - 22*r = 0.
-1, 39
Let o(i) = -26*i**2 - 58*i. Let z(v) = 13*v**2 + 29*v. Let b(t) = 4*o(t) + 9*z(t). Let u(h) = -6*h**2 - 14*h. Let c(w) = 4*b(w) + 9*u(w). Factor c(n).
-2*n*(n + 5)
Suppose 0 = 5*a - 5 - 15. Determine k so that -9*k**3 - 36*k**3 - 95*k + 5*k**a + 14 + 105*k**2 + 16 = 0.
1, 6
Let i(z) be the third derivative of 9*z**8/448 - 17*z**7/140 + 19*z**6/160 + 21*z**5/40 - 7*z**4/8 - z**3 - 198*z**2. Suppose i(p) = 0. Calculate p.
-1, -2/9, 1, 2
Let t(a) be the first derivative of -17 + 1/6*a**4 + 0*a - a**2 - 4/9*a**3. Let t(j) = 0. Calculate j.
-1, 0, 3
Let h be (-8)/20*-5 - 1438/720. Let f(b) be the third derivative of -1/45*b**5 + 5/72*b**4 - 3*b**2 - 1/9*b**3 + 0 + 0*b + h*b**6. Factor f(i).
(i - 2)*(i - 1)**2/3
Let h = -1322 - -1325. Let z(k) be the second derivative of 7/30*k**h + 1/10*k**2 + 0 + 2/75*k**6 - 6*k + 1/4*k**4 + 13/100*k**5. Let z(l) = 0. Calculate l.
-1, -1/4
Factor 0*f**3 + 1/2*f**5 + 0 + f**4 - 1/2*f - f**2.
f*(f - 1)*(f + 1)**3/2
Let g(u) be the second derivative of -u**4/3 + 4*u**3/3 - 2*u**2 - 608*u. Let g(i) = 0. Calculate i.
1
Let d(r) be the first derivative of -r**6/840 - r**5/420 - 17*r**2/2 + 15. Let g(a) be the second derivative of d(a). Factor g(z).
-z**2*(z + 1)/7
Let a(h) be the second derivative of -5/4*h**2 + 1/40*h**5 + 29*h + 5/24*h**4 + 0 - 1/12*h**3. What is p in a(p) = 0?
-5, -1, 1
Let x(k) = -3*k**4 + k**3 + 77*k + 75*k + 4 - 157*k + 3*k**2. Let v(d) = 5*d**4 - d**3 - 6*d**2 + 9*d - 7. Let o(u) = -4*v(u) - 7*x(u). Solve o(z) = 0.
0, 1
Let w(y) = y**2 - 5*y + 5. Let t be w(7). Suppose 3*l**2 - t*l**3 + 11*l**3 - 7*l**2 = 0. Calculate l.
-1/2, 0
Let k be -1 + 10 + (-286)/33. Let m(j) be the first derivative of -2 + k*j**3 - 1/8*j**4 + 1/4*j**2 - j. Factor m(f).
-(f - 2)*(f - 1)*(f + 1)/2
Let x(z) = -3*z**2 - 214*z + 11029. Let d(l) = 11*l**2 + 644*l - 33089. Let s(r) = 6*d(r) + 21*x(r). Solve s(v) = 0 for v.
105
Let i(h) = -15*h**3 + 45*h**2 + 90*h - 104. Let t(g) = -5*g**3 + 15*g**2 + 30*g - 34. Let w(j) = -3*i(j) + 8*t(j). Factor w(b).
5*(b - 4)*(b - 1)*(b + 2)
Suppose -3*d + 55 = 2*d. Let i = 19 - d. Factor y - i - 6*y - 24 - 11*y - 2*y**2.
-2*(y + 4)**2
Let z(v) = -9 - 5*v**2 - 8*v + 3*v**3 - 4*v**3 - 5. Let h be z(-4). Factor 0 + 1/3*n**h - 1/3*n.
n*(n - 1)/3
Suppose 1/2*c**5 - 6*c**2 + 1/2*c**4 + 0*c + 0 - 4*c**3 = 0. Calculate c.
-2, 0, 3
Let a(l) be the third derivative of 11*l**7/525 + 43*l**6/300 + 21*l**5/50 + 41*l**4/60 + 2*l**3/3 - 18*l**2 - 4*l. Factor a(m).
2*(m + 1)**3*(11*m + 10)/5
Suppose 13*p - 180 = -23*p. Factor -33/5*o - 6*o**3 - 9/5 - 46/5*o**2 - 1/5*o**p - 9/5*o**4.
-(o + 1)**3*(o + 3)**2/5
Let f(h) = -5*h**3 - 13*h**2 + 7*h + 1. Let m(w) = -34*w**2 - 2 + 4*w**3 - 35*w**2 - 6*w + 81*w**2. Let o(t) = -6*f(t) - 7*m(t). Factor o(v).
2*(v - 2)**2*(v + 1)
Factor 54*m - 1 - 35 + 3*m**2 - 13 - 8.
3*(m - 1)*(m + 19)
Find m, given that -3*m**3 + 3*m**3 + 3*m + 33 - 33*m**2 - 3*m**3 = 0.
-11, -1, 1
Let r be 5/(42/20 - (-4)/10). Let i(s) be the first derivative of 6 + 2/9*s**3 - 2/3*s**r + 0*s. Factor i(l).
2*l*(l - 2)/3
Let h(g) = -3*g**4 + 2*g**3 + 2*g**2 + 2*g + 1. Let b(q) = -q**4 + q**3 + q + 1. Let v = 17 - 22. Let t(l) = v*h(l) + 10*b(l). What is k in t(k) = 0?
-1, 1
Let h be 3*(-7)/(-3)*(-48)/(-252). Let -h*o**3 + 4/3*o + o**2 - 4/3 + 1/3*o**4 = 0. Calculate o.
-1, 1, 2
Let y(x) = 48*x**4 - 204*x**3 + 544*x**2 - 20*x - 756. Let a(z) = 7*z**4 - 29*z**3 + 78*z**2 - 3*z - 108. Let t(m) = -20*a(m) + 3*y(m). Factor t(l).
4*(l - 3)**3*(l + 1)
Let i be (-5 - (-4 - -2))*(-4)/3. Let -4*w**3 + 2*w**4 - 7*w**3 - 3*w**3 + 2 + 7*w + 7*w**5 - i*w**2 = 0. What is w?
-1, -2/7, 1
Factor -88/3*z + 30 - 2/3*z**2.
-2*(z - 1)*(z + 45)/3
Let k(j) be the third derivative of -j**5/90 - 61*j**4/36 + 248*j**2. Solve k(s) = 0.
-61, 0
Let b = -48051/4 - -12013. Suppose b*f + 0 - 1/2*f**2 + 1/4*f**3 = 0. Calculate f.
0, 1
Factor 1/3*h**3 - 7/2*h**2 - 25/6 + 10*h.
(h - 5)**2*(2*h - 1)/6
Let u be 13 + -11 - (5/(-45))/((-1)/6). Determine i so that u*i**4 + 13/9*i**2 - 23/9*i**3 + 0 - 2/9*i = 0.
0, 1/4, 2/3, 1
Let n(m) be the third derivative of 0*m**3 + 1/105*m**7 + 0*m + 0 + 0*m**5 + 1/336*m**8 + 0*m**4 + 3*m**2 + 0*m**6. Factor n(k).
k**4*(k + 2)
Suppose 259*b + 5*t = 257*b - 4, -b + 58 = -5*t. Factor 0 + 0*n + 21/2*n**4 - 6*n**2 + b*n**3.
3*n**2*(n + 2)*(7*n - 2)/2
Let g be 2080/(-112) + 6 - -14. Suppose 4/7*v**3 + 0 + 0*v**2 + 4/7*v**5 - g*v**4 + 0*v = 0. Calculate v.
0, 1/2, 2
Let h(i) be the first derivative of -6*i**4 - 140*i**3/3 - 106*i**2 - 56*i + 9. What is o in h(o) = 0?
-7/2, -2, -1/3
Let b(y) = y**2 + y - 2. Let g be b(3). Factor -7*c + 2*c**3 + 3*c - 8*c**3 + g*c**2.
-2*c*(c - 1)*(3*c - 2)
Let q(u) be the first derivative of -3/4*u**4 + 3*u**3 + 21 + 0*u**2 + 0*u. What is t in q(t) = 0?
0, 3
Let l = 3479/9 + -3437/9. Suppose -2/3*q**2 - l*q + 0 = 0. Calculate q.
-7, 0
Let d = -2075/3 + 693. Let y(q) be the first derivative of 0*q - q**4 - 3 + 4*q**2 - d*q**3. Suppose y(o) = 0. What is o?
-2, 0, 1
Let b(q) = 3*q + q - 3*q. Let x(t) = 2*t**2 - 2*t - 10. Let s(g) = -20*b(g) - 2*x(g). Factor s(l).
-4*(l - 1)*(l + 5)
Let g be (-1 + 3 + 1)/(36/48). Suppose 2*p + 4*j = 7*j - 2, g*p = -4*j + 16. Suppose -1/3*k**p + 0 + 1/3*k = 0. Calculate k.
0, 1
Let x(h) be the first derivative of -2*h**5/5 + 9*h**4/2 - 14*h**3/3 - 9*h**2 + 16*h - 231. Let x(q) = 0. Calculate q.
-1, 1, 8
Let w(i) be the third derivative of 0*i - 2/63*i**3 + 1/36*i**4 + 0 - 1/2205*i**7 + 1/252*i**6 - 1/70*i**5 - 35*i**2. Find v such that w(v) = 0.
1, 2
Let w(q) be the second derivative of q**6/75 - 2*q**5/25 + 2*q**4/15 - 9*q - 2. Determine g so that w(g) = 0.
0, 2
Let q(u) = 10*u**2 - 8*u - 6. Let r(m) be the first derivative of 3*m**3 - 4*m**2 - 5*m + 69. Suppose -29 + 5 = -4*p. Let g(j) = p*r(j) - 5*q(j). Factor g(b).
4*b*(b - 2)
Let f(h) = h**2 + 7*h - 27. Let z be f(-10). Suppose -64*l**4 - 10 - 59*l**z + 65*l - 6*l**3 + 85*l**2 - 11*l**4 = 0. Calculate l.
-1, 2/15, 1
Let z be ((-6)/(-7))/(4/14). Factor -2*o**z + 8*o**2 - o + 6*o**3 + 5*o.
4*o*(o + 1)**2
Let s(m) = -m**3 - 4*m**2. Let h(x) be the third derivative of x**6/60 + 3*x**5/20 + 10*x**2. Let v(i) = -4*h(i) - 10*s(i). Determine o, given that v(o) = 0.
-2, 0
Let n be (-296)/40 + 8 - (-36)/15. Let d(f) be the second derivative of 0*f**2 + 0*f**3 - 1/12*f**4 + 0 - 1/20*f**5 + n*f. Solve d(s) = 0 for s.
-1, 0
Let o = 1214 + -1210. Let b(y) be the second derivative of -6*y + 4/3*y**3 + 0*y**2 + 1/3*y**o - 1/5*y**5 + 0. Factor b(n).
-4*n*(n - 2)*(n + 1)
Let o(k) be the second derivative of k**5/20 + k**4/12 - k**3/6 - k**2/2 - 4*k + 6. Solve o(v) = 0 for v.
-1, 1
Let g(w) be the second derivative of w**5/5 - w**4/3 - 2*w**3/3 + 2*w**2 + 18*w. Suppose g(b) = 0. What is b?
-1, 1
Let m = 2 - -10. Let f = 12 - m. What is z in -2/5*z**3 + 0*z**2 + f - 1/5*z**5 + 0*z + 3/5*z**4 = 0?
0, 1, 2
Let w(p) be the first derivative of 4/7*p**3 + 1/7*p**4 + 4/7*p**2 + 0*p - 9. Factor w(g).
4*g*(g + 1)*(g + 2)/7
Suppose -2*o - 4 = 0, 4*o + 12 + 0 = 2*f. Let p be 0*(-8 + 4155/525 + 4/14). Factor p*v - 3/7*v**f + 3/7.
-3*(v - 1)*(v + 1)/7
Suppose -3 = -b - 2*i, 0 = b + 2*b - 4*i - 59. Let a = b + -13. Factor -3*g**2 + 6 + a*g**2 + 0*g**2 - 3*g.
-3*(g - 1)*(g + 2)
Let n = 2915/17418 - 2/2903. Let -1/6*v**2 + 0*v - n*v**5 + 1/6*v**3 + 1/6*v**4 + 0 = 0. What is v?
-1, 0, 1
Factor 32/9*t - 2*t**2 + 0.
-2*t*(9*t - 16)/9
Let b(m) be the third derivative of 0*m + 36*m**2 + 1/210*m**6 + 1/105*m**5 - 1/14*m**3 - 5/168*m**4 + 0. Factor b(a).
(a - 1)*(2*a + 1)*(2*a + 3)/7
Let 0 - 1/9*o**5 + 0*o - 4/9*o**4 + 0*o**2 - 4/9*o**3 = 0. Calculate o.
-2, 0
Let t(m) be the third derivative of 4*m**7/147 - 47*m**6/420 - 37*m**5/210 - m**4/14 - 19*m**2. Let t(i) = 0. Calculate i.
-2/5, -1/4, 0, 3
Suppose -329*y = -333*y + 8. Factor -45/2 + 45/2*x - 15/2*x**y + 5/6*x**3.
5*(x - 3)**3/6
Suppose 26 - 26 = -15*s. Factor 0*c + s - 4/3*c**2.
-4*c**2/3
Let l(p) be the second derivative of -3/16*p**4 - 1/2*p**2 + 0 + 1/40*p**5 + 2*p + 0*p