*u**7/245 - u**6/420 + 4*u**5/35 - 4*u**4/21 + 384*u**2. Factor w(f).
-2*f*(f - 1)**2*(f + 4)**2/7
Let f be 1*(0 - 1)*(-6)/3. Suppose -5 = -2*u - k, -k - 1 = f*u - 6*k. Factor 0*c - 4/9*c**3 + 2/9*c**u + 0 + 2/9*c**4.
2*c**2*(c - 1)**2/9
Let z(b) be the first derivative of -2/45*b**3 - 1/15*b**2 - 19 + 1/30*b**4 + 2/15*b. Factor z(g).
2*(g - 1)**2*(g + 1)/15
Let p(t) be the first derivative of -5*t**3 + 2 + 15/4*t**4 + 15/4*t**2 - 3/2*t + 1/4*t**6 - 3/2*t**5. Determine r, given that p(r) = 0.
1
Let o be (-220)/(-18) + 3*(-10)/135. Find g, given that 618*g**4 + 39*g**3 - 633*g**4 - o*g + 9*g**2 - 21*g**2 = 0.
-2/5, 0, 1, 2
Let a(r) = r**3 - 7*r**2 + 13*r - 39. Let s be a(6). Let t(u) be the first derivative of s + 32/3*u - 8/3*u**2 + 2/9*u**3. Factor t(b).
2*(b - 4)**2/3
Let y(o) be the third derivative of o**8/448 - o**7/40 + 3*o**6/32 - 13*o**5/80 + o**4/8 - 101*o**2. Determine s so that y(s) = 0.
0, 1, 4
Suppose -2*c = 2*h + 8, 0 = 9*c - 5*c + 16. Let t be (h - (2 + 10))*(-2)/33. Factor t*w**2 + 0 - 2/11*w**5 - 12/11*w**3 - 2/11*w + 8/11*w**4.
-2*w*(w - 1)**4/11
Let f(o) = -4*o**2 + 0*o + o**2 + 3 + o**3 - 4*o - 6*o. Let t be f(5). What is a in -4/5*a**t - 4/5*a**4 + 2/5*a**5 + 16/5*a**2 - 14/5*a + 4/5 = 0?
-2, 1
Let w(z) = -22*z**2 + 231*z. Let o(v) = -3*v**2 - v. Let g(l) = 21*o(l) - 3*w(l). Solve g(y) = 0 for y.
0, 238
Let p(n) = 11*n**2 - 30*n - 41. Let d(v) = 3*v**2 - 10*v - 14. Let o(a) = 7*d(a) - 2*p(a). Determine y, given that o(y) = 0.
-8, -2
Let s(d) be the third derivative of 1/24*d**3 + 0*d + 3*d**2 + 1/80*d**5 - 1/32*d**4 - 1/480*d**6 + 0. Determine a so that s(a) = 0.
1
Let q(b) be the second derivative of -b**4/84 + b**3/21 - b**2/14 + 11*b - 1. Factor q(h).
-(h - 1)**2/7
Find j, given that -10/7*j**2 + 2/7*j + 0 + 8/7*j**3 = 0.
0, 1/4, 1
Let u(w) = -6*w**4 + w + 1. Let x(v) = -13*v**4 + 36*v**3 + 114*v**2 + 118*v + 41. Let p(z) = -2*u(z) + x(z). Factor p(k).
-(k - 39)*(k + 1)**3
Suppose -z - 44 = -2*b - 52, -4 = -5*z + b. Factor -4/5*n**4 + 2/5*n**3 + 0*n + z + 2/5*n**5 + 0*n**2.
2*n**3*(n - 1)**2/5
Let a = 49 - 52. Let o be (-9)/a + 3 + (-168)/30. Factor 6/5*k**2 - o*k**3 + 0 + 0*k.
-2*k**2*(k - 3)/5
Let u(p) be the first derivative of 4/9*p + 5/9*p**2 + 1/18*p**4 + 8/27*p**3 + 4. Solve u(b) = 0.
-2, -1
Suppose 4*z - 16 = -2*y, 0 = 5*y + 3*z - 24 - 44. Let i = -1/183 + 163/61. Factor 0 - i*c - 50/3*c**4 - 30*c**3 - y*c**2.
-2*c*(c + 1)*(5*c + 2)**2/3
Let b(o) be the third derivative of o**6/24 + 15*o**5/4 - 5*o**4/24 - 75*o**3/2 + o**2 - 16. Determine c, given that b(c) = 0.
-45, -1, 1
Let m(x) be the third derivative of x**7/2205 + x**6/35 + 26*x**5/35 + 72*x**4/7 + 576*x**3/7 + 5*x**2 + 31. Let m(w) = 0. What is w?
-12, -6
Let d = 27274/3 + -9091. Solve -2/3 + s**2 - 1/3*s**3 - 1/3*s**4 + d*s = 0.
-2, -1, 1
Let f(b) = 11*b**2 + 92*b - 29. Let x(g) = -6*g**2 - 46*g + 14. Suppose 0 = 4*w + 146 - 130. Let d(j) = w*f(j) - 10*x(j). Factor d(o).
4*(o + 6)*(4*o - 1)
Let y(i) be the first derivative of -17 + 5/3*i**3 - 5*i + 0*i**2. Let y(z) = 0. Calculate z.
-1, 1
Suppose 4*a - 4*i = 28, -5*a = 4*i - 1 - 7. Suppose a*r + j - 11 = 0, 0 = -0*r - r - 2*j - 6. Factor 6*k**2 + 6*k**2 + k - 4*k**r - 2*k - 7*k.
-4*k*(k - 1)**2*(k + 2)
Let n(h) be the third derivative of h**7/42 + h**6/3 - 5*h**5/2 + 20*h**4/3 - 55*h**3/6 + 44*h**2 - 3. Factor n(l).
5*(l - 1)**3*(l + 11)
Determine d so that 3/2*d**3 + 0*d + 0*d**2 + 0 + 1/2*d**4 = 0.
-3, 0
Let h(y) be the second derivative of -y**7/945 - y**6/180 - y**5/135 - 37*y**2/2 + 24*y. Let d(r) be the first derivative of h(r). What is b in d(b) = 0?
-2, -1, 0
Let d(m) be the second derivative of m**6/70 + 3*m**5/140 - 5*m**4/14 + 4*m**3/7 + 12*m + 2. Determine t so that d(t) = 0.
-4, 0, 1, 2
Let o = 14 - 20. Let d be (-1)/(9/o - (-3 + 2)). Determine w, given that 2/7*w**3 + 0*w**d + 0 + 0*w = 0.
0
Let a(r) = 34*r**3 + 20*r**2 + 14*r - 14. Let h(o) = -12*o**3 - 7*o**2 - 5*o + 5. Let p(z) = -5*a(z) - 14*h(z). Factor p(c).
-2*c**2*(c + 1)
Let m(l) = l**2 + 2*l + 2. Let b be m(-2). Factor -30*r**3 - 60*r**b - 15*r - 23*r - 2*r - 5*r**4.
-5*r*(r + 2)**3
Let p = 40018 - 40018. Factor 8/7*y + p - 22/7*y**3 + 16/7*y**2 + 6/7*y**4.
2*y*(y - 2)**2*(3*y + 1)/7
Let u = 481 - 479. Let a(r) be the first derivative of -r + 1/9*r**3 - 4 - 1/3*r**u. Suppose a(l) = 0. Calculate l.
-1, 3
Let i(b) be the first derivative of b**4/20 - b**3/3 + 4*b**2/5 - 4*b/5 + 42. Find v such that i(v) = 0.
1, 2
Let h(t) be the first derivative of t**8/2856 + t**7/595 + t**6/340 + t**5/510 + 6*t**2 + 10. Let a(i) be the second derivative of h(i). Factor a(n).
2*n**2*(n + 1)**3/17
Let v(k) be the first derivative of -4/3*k + 4/9*k**3 + 1/3*k**4 - 2/3*k**2 - 18. Factor v(l).
4*(l - 1)*(l + 1)**2/3
What is a in 17*a**2 - 11/3*a**4 - 13/3*a**3 - 1/3*a**5 + 18*a + 0 = 0?
-9, -3, -1, 0, 2
Let n(j) be the second derivative of -34*j - 5/54*j**3 + 1/9*j**2 + 0 - 1/180*j**5 + 1/27*j**4. Factor n(u).
-(u - 2)*(u - 1)**2/9
Let s be (6 - 2)/(4 - 2). Let u(v) be the second derivative of 0 + 7*v + 1/24*v**4 + 0*v**s + 1/12*v**3. Find n such that u(n) = 0.
-1, 0
Let w(n) be the second derivative of -n**7/147 - 2*n**6/35 + 17*n**5/35 - 4*n**4/3 + 13*n**3/7 - 10*n**2/7 - 2*n + 82. Factor w(z).
-2*(z - 1)**4*(z + 10)/7
Suppose -408 = -14*s + 20*s. Let i be 3*(s/18 - -4). Suppose -2/3 - i*c**4 + 8/3*c**3 - 4*c**2 + 8/3*c = 0. Calculate c.
1
Factor 19*t**4 - 50*t**4 + 13*t**4 + 107*t**3 + 19*t**4.
t**3*(t + 107)
Let t(p) = 0*p - 4*p - 2 + 2*p**2 + 2*p. Let i be t(-1). Suppose -10/3*w**3 - 8/3*w**4 - 2/3*w**5 - 4/3*w**i + 0 + 0*w = 0. Calculate w.
-2, -1, 0
Let n = 380299/33555 + -3/11185. Factor -26/3*j**3 + 56/3*j**2 + 4/3 - n*j.
-2*(j - 1)**2*(13*j - 2)/3
Suppose 9*c - 12*c = -21. Let -58*o**3 + 11 + 5 + 8*o + 59*o**3 - c*o**2 = 0. What is o?
-1, 4
Let m(i) = 3*i + 4*i + 172*i**2 + 8 - 179*i**2. Let w(k) = 13*k**2 - 13*k - 16. Let d(b) = 5*m(b) + 3*w(b). Factor d(f).
4*(f - 2)*(f + 1)
Let j(d) = -d**3 + 12*d**2 + 15*d - 13. Let h be j(13). Suppose 6 + 16*g**4 - h*g**3 - 9*g**5 - 20*g**4 + 15*g - 17*g**3 - 26*g**4 = 0. Calculate g.
-1, 2/3
Let h be -8*(8 + 904/(-112)). Factor 2/7*v**2 - 6/7*v + h.
2*(v - 2)*(v - 1)/7
Let f(s) = -7*s**4 + 3*s**3 + 13*s**2 + 3*s - 5. Let t(w) = w + 2*w**3 + 8*w**3 - 11*w**3 + w**4 - w**2 + 2 - 1. Let b(n) = -f(n) - 5*t(n). Factor b(z).
2*z*(z - 2)*(z + 1)*(z + 2)
Suppose -14 = -3*d + 5*g, 2*g + 3*g = -5*d + 10. Factor -26 + 7*z**4 - d*z**4 + 26 - 2*z**5.
-2*z**4*(z - 2)
Suppose -39 - 85 - 26 = -50*d. Factor -6*l**2 - 15/4*l**3 + d*l + 0.
-3*l*(l + 2)*(5*l - 2)/4
Suppose -5/2*z + 2 + 1/2*z**2 = 0. What is z?
1, 4
Suppose 0 = 4*l - 33 + 41. Let k be 1*(-8)/l + (-14)/4. Suppose 0 + 0*g + 1/4*g**3 - k*g**2 = 0. What is g?
0, 2
Find i such that 49 + 14/3*i + 1/9*i**2 = 0.
-21
Solve -136*l - 28*l**2 + 103*l + 101*l - 24 = 0 for l.
3/7, 2
Factor -1/9*o**3 - 13/9*o**2 + 64/3 - 16/9*o.
-(o - 3)*(o + 8)**2/9
Factor -13/5*r**2 - 4 + 32/5*r + 1/5*r**3.
(r - 10)*(r - 2)*(r - 1)/5
Let r be (-3)/(((-63)/(-6))/7). Let p be (-1 + 2)*r*-2. Factor -6*b - p*b**2 + 0*b - 4*b**3 + 6*b.
-4*b**2*(b + 1)
Factor -17 - 24*x + 15 - 4*x**2 - 30.
-4*(x + 2)*(x + 4)
Let q = 5366/1137 - 20/379. Factor -6 - 2/3*y**3 - q*y**2 - 10*y.
-2*(y + 1)*(y + 3)**2/3
Let c(v) = -48*v**2 - 48*v - 6. Let j(p) = p**3 - 94*p**2 - 95*p - 14. Let f(g) = -7*c(g) + 3*j(g). Factor f(y).
3*y*(y + 1)*(y + 17)
Let v(q) be the second derivative of q**6/40 - q**5/20 - 5*q**2/2 - 6*q. Let k(u) be the first derivative of v(u). Suppose k(y) = 0. Calculate y.
0, 1
Let a(h) be the second derivative of -h**4/27 + 8*h**3/27 + 17*h - 4. Let a(t) = 0. What is t?
0, 4
Let o be -2 + (9/3 - -1). Let r be o + -6 - (-9 + 0). Factor -5*c**5 - 7*c**r + 5*c**3 + 11*c**4 - 31*c**4 - 9*c**3 + 4*c**2.
-4*c**2*(c + 1)**2*(3*c - 1)
Suppose -3/5*b**2 + 0 - 1/5*b**3 - 2/5*b = 0. What is b?
-2, -1, 0
Solve -119*b**2 + 67*b**2 - 4*b**3 + 0*b**3 = 0 for b.
-13, 0
Let z(p) = -14*p**3 + 106*p**2 + 164*p + 40. Let k(y) = -13*y**3 + 106*y**2 + 164*y + 42. Let r(d) = -4*k(d) + 3*z(d). Factor r(w).
2*(w - 12)*(w + 1)*(5*w + 2)
Let u(p) be the second derivative of 0*p**2 - 8/3*p**4 - 2*p**3 + 2/21*p**7 + 0*p**6 + 0 - 6/5*p**5 - 32*p. Find o such that u(o) = 0.
-1, 0, 3
Let x = 1425 - 1422. Let j(b) be the