 3*h**2 - 1/132*h**4 + 0*h**3 + 0*h - 1/330*h**5 + 0. Factor t(s).
-2*s*(s + 1)/11
Suppose 5*w + 12 = -3*q - 39, 0 = -w - 3*q - 3. Let s be 3/9 - 14/w. Factor 3*i + s*i**2 + 3/2.
3*(i + 1)**2/2
Let c(d) = 2*d**2 - 44*d - 2. Let p(t) = 2*t**2 - 49*t - 3. Let k(y) = 3*c(y) - 2*p(y). Determine b, given that k(b) = 0.
0, 17
Let j = 49 + -33. Find d, given that -d**3 - 8*d**2 - 2*d**5 + 6*d**4 + j*d**3 - 15*d**3 = 0.
-1, 0, 2
Let h = 13024 + -143254/11. Solve h*f**3 - 42/11*f + 2/11*f**2 + 2/11*f**4 - 36/11 = 0 for f.
-3, -1, 2
Let 18*z**3 - 5*z**5 - 6*z**3 + 190*z**2 + 0*z**3 - 15*z**4 - 7*z**3 - 160 - 15*z**4 = 0. What is z?
-4, -1, 1, 2
Let g(t) be the first derivative of -3*t**4/8 - 3*t**3 - 27*t**2/4 - 6*t + 712. Determine f, given that g(f) = 0.
-4, -1
Let b(s) be the third derivative of 49/30*s**5 + 0 + 0*s + 7/2*s**4 + 3*s**3 - 19*s**2. Factor b(t).
2*(7*t + 3)**2
Let j = -40 + 24. Let z = -10 - j. Factor 0*i**2 - 6*i**3 - 6*i - z*i**2 + 3*i**3 + 3*i.
-3*i*(i + 1)**2
Let q be 4/5 - (-17)/((-1870)/33). Let z be ((-1 + 1)/3)/(-1). Factor 1/2*x + 0*x**2 - q*x**3 + z.
-x*(x - 1)*(x + 1)/2
Let v(t) = -t - 1. Let l be v(-10). Suppose 4*o = 3*a + l, -o - 1 = -a - 2. Determine x so that -2 - 8*x + x + x**2 + o*x = 0.
-1, 2
Let x = -79585/2 - -39800. Factor 36 + x*h**3 - 1/2*h**5 + 0*h**4 - 30*h - 5*h**2.
-(h - 2)**3*(h + 3)**2/2
Factor 4284 - 3*f - f**2 - 4284 - f.
-f*(f + 4)
Let m = 257/2 - 128. Let -1/2*v - m*v**2 + 0 = 0. Calculate v.
-1, 0
Factor 0 - 1/5*g**4 + 2/5*g + 3/5*g**2 + 0*g**3.
-g*(g - 2)*(g + 1)**2/5
Let o(x) be the first derivative of -x**7/350 + x**6/100 - x**5/100 + 2*x**2 + 19. Let i(n) be the second derivative of o(n). Factor i(a).
-3*a**2*(a - 1)**2/5
Let m = -5339/20 + 267. Let t(r) be the second derivative of 2*r**2 - 4*r + 0 - m*r**5 + 0*r**3 - 1/4*r**4. Let t(b) = 0. What is b?
-2, 1
Let c(g) be the first derivative of -g**6/39 + 6*g**5/65 - 3*g**4/26 + 2*g**3/39 + 12. Factor c(o).
-2*o**2*(o - 1)**3/13
Let a(p) be the third derivative of p**5/60 - 5*p**4/24 - 11*p**3/6 + 47*p**2 + p. Let i be a(7). Factor 0 + 0*x - 2/5*x**i + 4/5*x**4 + 0*x**2 - 2/5*x**5.
-2*x**3*(x - 1)**2/5
Let y(h) be the second derivative of 0 - 1/30*h**6 + 2/3*h**3 + 1/5*h**5 - 2*h - 9/2*h**2 - 1/2*h**4. Let n(b) be the first derivative of y(b). Factor n(a).
-4*(a - 1)**3
Let r(b) be the second derivative of 2*b + 0*b**2 + 3/20*b**4 + 0 + 3/100*b**5 + 1/5*b**3. Suppose r(k) = 0. Calculate k.
-2, -1, 0
Suppose 712 = 4*w + 85*w. Let f(i) be the third derivative of 0*i + 0*i**3 + 1/14*i**4 - w*i**2 + 1/210*i**6 + 0 + 4/105*i**5. Factor f(s).
4*s*(s + 1)*(s + 3)/7
Suppose -i = -1 - 0. Let w(v) = -v**3 - 7*v**2 - 7*v - 3. Let q be w(-6). What is z in -10*z**q - 2*z + 16*z**2 - 2 - 1 + 0*z - i = 0?
-2/5, 1
Let l(h) = -25 + h**3 - 11*h - 18 + 43 - 4*h**2. Let t(i) = -i**3 - i**2 + i. Let r(p) = -l(p) - 6*t(p). Factor r(v).
5*v*(v + 1)**2
Let c(o) be the third derivative of o**8/840 - 2*o**7/525 - 2*o**6/75 + 2*o**2 - 142. Factor c(u).
2*u**3*(u - 4)*(u + 2)/5
Let s(f) be the third derivative of -f**6/360 - f**5/30 - f**4/8 - 5*f**3 - f**2. Let y(a) be the first derivative of s(a). Factor y(o).
-(o + 1)*(o + 3)
Let c(i) be the third derivative of 0 + 0*i**3 + 1/30*i**5 - 1/6*i**4 - 10*i**2 + 0*i. Determine q, given that c(q) = 0.
0, 2
Factor -1933*b - 9*b**3 + 5*b**5 - 30*b**4 + 1993*b - 3*b**3 + 80*b**2 + b**3 - 4*b**3.
5*b*(b - 6)*(b - 2)*(b + 1)**2
Determine t, given that 6/11*t**3 + 12/11*t + 48/11 - 30/11*t**2 = 0.
-1, 2, 4
Let i be (-1984)/(-124) - (-1 + 13). Suppose 3 = -g + 8. Factor 5*m**4 - 10*m**3 + 1 + 0*m**5 + 6*m**g - 3*m**5 - 5*m - i*m**5 + 10*m**2.
-(m - 1)**5
Let a = 24 + -25. Let q(m) = -m**2 - m + 1. Let t(o) = -3*o**2 - 15*o + 5. Let w(v) = a*t(v) + 5*q(v). Factor w(u).
-2*u*(u - 5)
Let i(x) be the first derivative of -x**6/30 - x**5/20 + x**4/6 + 2*x - 11. Let k(a) be the first derivative of i(a). Factor k(w).
-w**2*(w - 1)*(w + 2)
Let u = -35/2 + 18. Let j be (-1 + 1)/((-9)/(13 + -4)). Factor 1/6*g**2 + j - u*g.
g*(g - 3)/6
Let x(i) = -5*i - 13. Let o be x(-5). Suppose o + 0 = 4*n. Find a, given that 12*a**5 - 9*a**4 - n - a**3 + 3 - 2*a**3 = 0.
-1/4, 0, 1
Let w(n) be the first derivative of -n**3/7 + 165*n**2/14 + 24*n - 449. Factor w(u).
-3*(u - 56)*(u + 1)/7
Find j, given that 5*j**2 - 21*j**3 + 3*j**3 + 4 + 17*j**3 - 7*j - 1 = 0.
1, 3
Let s(w) = -w**3 - w - 1. Let t(z) = -3*z**3 + 2*z**2 - 3*z - 2. Let q(h) = -2*s(h) + t(h). Factor q(j).
-j*(j - 1)**2
Let 2*y + 4*y**2 - 18*y - 2*y - 2*y + 16 = 0. Calculate y.
1, 4
Let d be (-12)/45*(-801)/178. Factor d - 3/5*z - 3/5*z**2.
-3*(z - 1)*(z + 2)/5
Let g = 2/39 - -11/39. Let r be (5/3)/((-516)/(-24) - 19). Factor r - 1/3*t - g*t**2.
-(t - 1)*(t + 2)/3
Let k(w) be the first derivative of -6*w - 5/4*w**3 + 30 - 33/4*w**2. Factor k(t).
-3*(t + 4)*(5*t + 2)/4
Suppose 0 = -2*w - 2*a + 322, 4*w + 0*a - 646 = -2*a. Factor 3*y**3 + 4 + 6 - w*y**2 + 153*y**2 + 2.
3*(y - 2)**2*(y + 1)
Let a = -5102/7 - -729. Determine w, given that 3/7*w - a*w**2 + 0 = 0.
0, 3
Let m(w) = w**5 + w**4 + w**3 + 3*w**2 + 2. Let v(y) = 3*y**5 + 3*y**4 + 2*y**3 + 7*y**2 + 5. Let n(j) = -5*m(j) + 2*v(j). Factor n(u).
u**2*(u - 1)*(u + 1)**2
Let x be 8 - 0/((-8)/(4/(-1))). Factor -x - 8*f**2 + 5 + 4*f**3 + 11 - 4*f.
4*(f - 2)*(f - 1)*(f + 1)
Let w(u) be the third derivative of -u**8/420 + 11*u**7/525 - 23*u**6/300 + 23*u**5/150 - 11*u**4/60 + 2*u**3/15 + 35*u**2 - 2*u. What is m in w(m) = 0?
1/2, 1, 2
Let x(c) be the second derivative of -13/2*c**3 + 0 - 11/4*c**4 + 12*c - 3*c**2. Find m such that x(m) = 0.
-1, -2/11
Find i such that -26/7*i**3 - 6*i**2 + 76/7*i + 8/7*i**4 - 16/7 = 0.
-2, 1/4, 1, 4
Let c(w) be the second derivative of w**9/15120 - w**7/840 + w**6/360 - w**4/3 - w. Let o(l) be the third derivative of c(l). Factor o(b).
b*(b - 1)**2*(b + 2)
Let z(q) be the first derivative of q**5/20 + q**4/4 - 2*q**2 + 6*q - 20. Let h(x) be the first derivative of z(x). Solve h(n) = 0 for n.
-2, 1
Let p(v) = -2*v - 8. Let t be p(-6). Let s be 138/(-1725) - (-72)/275. Solve -2/11*o**t + s*o**2 + 0 - 4/11*o + 4/11*o**3 = 0.
-1, 0, 1, 2
Let p(d) = -2*d**2 - 71*d - 252. Let k be p(-4). What is q in 0*q + 1/6*q**3 + k - 1/2*q**2 = 0?
0, 3
Let w(q) = 2*q**3 - 62*q**2 + 2*q + 62. Let y(b) = 4*b**3 - 125*b**2 + 3*b + 125. Let k(v) = -7*w(v) + 4*y(v). Factor k(h).
2*(h - 33)*(h - 1)*(h + 1)
Factor 15*u**2 + 6*u**2 + 196 - 21*u**2 + u**2 - 27*u - u.
(u - 14)**2
Factor -108/7*r - 2/7*r**2 + 110/7.
-2*(r - 1)*(r + 55)/7
Let x(u) be the third derivative of u**6/24 + u**5/3 - 95*u**4/24 + 35*u**3/3 - 13*u**2 + 5. Factor x(z).
5*(z - 2)*(z - 1)*(z + 7)
Let r(m) = 32*m**2 + 5*m - 26. Let s(t) = 15*t**2 + 2*t - 12. Let w(p) = 6*r(p) - 13*s(p). Factor w(g).
-g*(3*g - 4)
Let g(z) be the third derivative of z**6/300 + z**5/50 - 3*z**4/5 + 32*z**3/15 + 591*z**2. Factor g(p).
2*(p - 4)*(p - 1)*(p + 8)/5
Let c(t) be the third derivative of t**6/24 - t**5 + 45*t**4/8 + 107*t**2. Let c(j) = 0. Calculate j.
0, 3, 9
Solve -33*m**4 + 132*m**3 + 12*m**4 + 17*m - 84*m**2 - 71*m**4 + 24*m**5 + 3*m = 0 for m.
0, 5/6, 1
Suppose -14591*h**3 + 25*h**2 + 99*h**2 - 40*h + 14499*h**3 + 8*h**4 = 0. Calculate h.
0, 1/2, 1, 10
Let d(q) = q**3 - 4*q**2 + 5*q - 4. Let r be d(3). Let y be (-20)/(-21) + (986/51 - 20). Factor -2/7*o - y*o**r + 0.
-2*o*(o + 1)/7
Let u(a) = a**3 + a**2 - a + 1. Let y(f) = -6*f + 11*f**2 + 6*f**2 + 5*f**2 - 36*f**3 + 8*f + 6. Let x(i) = 6*u(i) - y(i). Factor x(s).
2*s*(3*s - 2)*(7*s + 2)
Determine d, given that -1/4*d**5 - 1/4*d**4 - 1/2*d + 1/4*d**2 + 0 + 3/4*d**3 = 0.
-2, -1, 0, 1
Factor -1/2*t - 9/4*t**3 - 1/4*t**5 + 5/4*t**4 + 7/4*t**2 + 0.
-t*(t - 2)*(t - 1)**3/4
Factor 65*w**3 + 15 - 3*w**2 - 11*w + 23*w + 34*w**2 + 23*w - 146*w**2.
5*(w - 1)**2*(13*w + 3)
Let y(q) be the second derivative of 18 + 5*q**2 - 5/2*q**3 - q + 5/12*q**4. Factor y(l).
5*(l - 2)*(l - 1)
Let z = 407 - 401. Let w(q) be the third derivative of z*q**2 - 1/24*q**4 + 1/120*q**6 + 0 + 1/6*q**3 - 1/60*q**5 + 0*q. Factor w(r).
(r - 1)**2*(r + 1)
Factor -3*w**3 - 16*w**2 + 3*w**2 + 7*w**2 + 12*w**2 + 3*w**2.
-3*w**2*(w - 3)
Let i(c) be the third derivative of -c**7/315 + c**6/90 + c**5/90 - c**4/18 + 2*c**2 - 6. Factor i(s).
-2*s*(s - 2)*(s - 1)*(s + 1)/3
Let h(i