 - 20*o**r - 20*o - 31*o**2.
-5*o*(o + 2)**2*(4*o + 1)
Let h be 7/((-35)/(-15))*(-4)/(-3). Find s, given that 14*s + 5 - 3*s**2 - 2 + h*s - 18 = 0.
1, 5
Let x = -341/2 - -3799/22. Factor -x*t + 6/11*t**2 + 24/11.
6*(t - 2)**2/11
Suppose d - 7 = -5. Let x be (-4)/(-21)*(d - 3/6). Find a, given that x + 2/7*a - 2/7*a**3 - 2/7*a**2 = 0.
-1, 1
Let j be (-20 - 1)/(-2*(-1)/(-8)). Let q be 6/(-14) + 106/j. Factor -q*r**3 - 1/6*r**4 - 1/3 - 7/6*r - 3/2*r**2.
-(r + 1)**3*(r + 2)/6
Let y = -63 - -193/3. Let a be (-19)/(-3) + -5*((8 - 6) + -1). What is p in 0*p**2 - a*p**3 + y*p**4 + 0*p + 0 = 0?
0, 1
Let r = -113 - -115. Find h, given that -5 - 1 - r*h**2 + 206*h - 214*h = 0.
-3, -1
Let d(a) be the third derivative of 13*a**2 + 0*a**6 + 0 + 2/525*a**7 + 0*a**3 - 1/75*a**5 + 0*a**4 + 0*a. Determine b, given that d(b) = 0.
-1, 0, 1
Let n(w) be the third derivative of w**8/30240 + w**5/15 - 8*w**2. Let o(y) be the third derivative of n(y). Factor o(x).
2*x**2/3
Let c(w) be the third derivative of w**5/270 - 7*w**4/108 - 8*w**3/27 + 53*w**2. Factor c(y).
2*(y - 8)*(y + 1)/9
Factor -3/2 - 39/4*d - 9/2*d**2.
-3*(d + 2)*(6*d + 1)/4
Let i(o) be the third derivative of -11*o**7/42 - 61*o**6/4 - 341*o**5 - 39325*o**4/12 - 6655*o**3/2 - o**2 + 729*o. Factor i(p).
-5*(p + 11)**3*(11*p + 3)
Factor 4/5*v**3 + 3/5 - 9/5*v**2 - 2*v.
(v - 3)*(v + 1)*(4*v - 1)/5
Suppose -62*g + 7 + 51 = -190. Factor -11/3*d + 1/3 + 56/3*d**g + 43/3*d**2 - 73/3*d**3 - 16/3*d**5.
-(d - 1)**3*(4*d - 1)**2/3
Let b(l) be the second derivative of l**3/6 + 2*l. Let v(z) = -z**2 - 15*z. Let a(f) = 15*b(f) + 3*v(f). Factor a(y).
-3*y*(y + 10)
Suppose 0 = 43*b - 873 + 787. Determine c so that 5/6*c**b + 5/6 + 5/3*c = 0.
-1
Suppose 45 = 16*l - l. Let v(a) be the second derivative of 1/4*a**4 + 0 + 3/20*a**5 - 2*a - 3/2*a**2 - 1/2*a**l. Suppose v(h) = 0. Calculate h.
-1, 1
Let c(m) = 2*m**2 + 4*m - 3. Let u be c(-3). Let 2 + 157/2*b**2 - 99*b**u - 22*b + 81/2*b**4 = 0. What is b?
2/9, 1
Factor -1/3*z**3 + 0 - 4/3*z**2 + 0*z + 1/6*z**4.
z**2*(z - 4)*(z + 2)/6
Let t(m) = -m**3 + 16*m**2 - 42*m + 41. Let d be t(13). Factor -g + 1/2 + 1/2*g**d.
(g - 1)**2/2
Let j(i) = 2*i**3 + 8*i**2 - 56*i + 52. Let b(d) = 1. Let k = 80 - 92. Let o(z) = k*b(z) - j(z). Let o(v) = 0. Calculate v.
-8, 2
Let 9/2*t - 1/2*t**3 - 5/2 - 3/2*t**2 = 0. What is t?
-5, 1
Suppose 2*z = -7*x + 2*x + 36, 0 = -x + 4. Let c = -8 + z. Let 0*h - 4/7*h**2 + c + 2/7*h**4 + 2/7*h**3 = 0. Calculate h.
-2, 0, 1
Let a(q) be the second derivative of q**7/105 - 4*q**6/75 + q**5/10 - q**4/15 - 2*q + 13. What is g in a(g) = 0?
0, 1, 2
Let h(y) = -13*y**4 + 21*y**3 - 40*y**2 + 9*y + 7. Let p(z) = 7*z**4 - 10*z**3 + 20*z**2 - 4*z - 4. Let g(m) = -4*h(m) - 7*p(m). Factor g(u).
u*(u - 2)**2*(3*u - 2)
Let k(r) = 5*r**2 + r + 3. Let w be k(3). Let w + 27 - 62 - 4*i**2 + 3*i**5 - i**5 + 22*i**3 - 24*i - 12*i**4 = 0. What is i?
-1, 1, 2
Let w be (10983/(-18))/(-7) - 2. Let j = -85 + w. Factor -1/6*i + 1/3 - j*i**2.
-(i - 1)*(i + 2)/6
Let r(u) be the second derivative of 1/24*u**3 + 1/168*u**7 - 3*u + 3/40*u**5 + 0 + 1/12*u**4 + 1/30*u**6 + 0*u**2. Factor r(y).
y*(y + 1)**4/4
Let p(y) be the second derivative of 3*y**5/20 - 5*y**4/4 - 3*y**3 + 62*y. Suppose p(s) = 0. What is s?
-1, 0, 6
Let v(t) = t**3 - 3*t**2 - 2*t + 4. Let n be v(4). Let g be (-1 + 2)*n/4. Factor -g*x**3 + 0*x**4 - 6*x - 9*x**3 - 15*x**2 - 5*x**4 + 2*x**4.
-3*x*(x + 1)**2*(x + 2)
Let v(p) = -2*p**2 + 1. Let l(t) = -16*t**4 + 178*t**3 - 580*t**2 + 470*t - 51. Let y(z) = -l(z) - v(z). What is x in y(x) = 0?
1/8, 1, 5
Factor -17*m**3 + 13*m**3 - 17*m**2 + 37*m**2 - 16*m.
-4*m*(m - 4)*(m - 1)
Determine f so that -4*f**4 + 16/9*f**5 - 26/3*f - 194/9*f**2 - 10/9 - 178/9*f**3 = 0.
-1, -1/2, -1/4, 5
Let t = 89 + -71. Let x be 3 + t/(-21) + -2. Find w such that 0*w + 1/7 - x*w**2 = 0.
-1, 1
Let q be ((-12)/(-18))/((-3)/(-9)). Let j(b) = b**2 - 4*b + 7. Let h be j(2). Suppose -2 - 5/2*y**h - 2*y + 13/2*y**q = 0. What is y?
-2/5, 1, 2
Let r = -71 + 84. Find y, given that 16 + 9*y**3 - r*y**3 + 12 - 60*y + 36*y**2 = 0.
1, 7
Let h be (133/57)/(2/6). Let d(v) be the second derivative of 0 + 1/8*v**4 - h*v - 1/2*v**3 + 0*v**2. Find s such that d(s) = 0.
0, 2
Find q such that -102*q**2 + 0 + 48*q**3 + 15/2*q**4 - 48*q = 0.
-8, -2/5, 0, 2
Suppose -5*i - 4 = 4*d, 0 = 639*i - 642*i + 2*d + 24. Let 0*k**2 + 0 + 0*k + 4/7*k**3 + 2/7*k**i = 0. What is k?
-2, 0
Determine w so that 200/7*w**2 + 40/7*w + 2/7 = 0.
-1/10
Let b = -23 - -36. Suppose 15*o**2 + 153*o**5 + 25*o**4 + b*o**3 - 148*o**5 + 22*o**3 = 0. Calculate o.
-3, -1, 0
Determine g so that -4*g**4 + 2 - 32*g**2 - 5 - 1 - 3*g - 13*g + 8*g**2 - 16*g**3 = 0.
-1
Let i(m) be the second derivative of m**7/1960 + m**6/840 + 8*m**3/3 - 13*m. Let u(g) be the second derivative of i(g). Determine x so that u(x) = 0.
-1, 0
Let c(h) = -h**2 + 2*h - 5. Let p be c(-3). Let g be 28/5 + 12/p. Factor -71*o**3 + g*o**2 - 9*o + 68*o**3 - 3 - 14*o**2.
-3*(o + 1)**3
Let b = 16869/46420 - -1/4220. Factor 2/11*g**2 - b*g + 2/11.
2*(g - 1)**2/11
Let y be (-889 + 892)*1/((-30)/(-4)). Find h, given that 0*h + 0 + y*h**2 = 0.
0
Suppose -2/5*d**4 + 72/5*d - 32/5 - 56/5*d**2 + 18/5*d**3 = 0. What is d?
1, 2, 4
Let h(m) be the third derivative of -m**8/1176 - 23*m**7/735 - 163*m**6/420 - 361*m**5/210 - 80*m**4/21 - 100*m**3/21 - 9*m**2 + 7*m. Factor h(w).
-2*(w + 1)**3*(w + 10)**2/7
Suppose 0 = -k + 2*m + 12, -7*k + 3*k + 4 = 3*m. Find g, given that 6*g + 5*g**k - 8*g**4 + 22*g**2 - 13*g**2 = 0.
-1, 0, 2
Let z(x) be the third derivative of -x**8/168 - 2*x**7/35 + 13*x**6/60 + 73*x**5/15 + 24*x**4 + 160*x**3/3 - 2*x**2 - 205. Determine r so that z(r) = 0.
-4, -2, -1, 5
Let s = -354577/5 + 69658. Let w = 1267 + s. Factor -w*m**2 - 8/5 + 4*m**3 + 36/5*m.
4*(m - 1)**2*(5*m - 2)/5
Let k(s) be the third derivative of 0*s**3 + 33/35*s**7 + 121/336*s**8 + 0*s - 7/10*s**6 + 2/15*s**5 + 0 + 23*s**2 + 0*s**4. Factor k(g).
g**2*(g + 2)*(11*g - 2)**2
Let u(y) be the second derivative of -1/36*y**4 + 0 + y - 3/2*y**2 + 0*y**3 + 1/180*y**5. Let t(x) be the first derivative of u(x). Factor t(h).
h*(h - 2)/3
Factor 0*v + 0 - 6/5*v**4 + 22/5*v**3 - 12/5*v**2.
-2*v**2*(v - 3)*(3*v - 2)/5
Let m be -1 + 11 + -29 + 23. Let f(c) be the first derivative of 0*c + 0*c**2 + 0*c**3 + 1/4*c**m + 4 + 1/5*c**5. Solve f(l) = 0.
-1, 0
Let h be (-13)/(-7) - -1 - 2. Let z = -88 - -622/7. Factor -3/7 - 3/7*o**5 + 9/7*o - z*o**3 + 9/7*o**4 - h*o**2.
-3*(o - 1)**4*(o + 1)/7
Let l(y) be the third derivative of -y**5/140 + 79*y**4/56 - 11*y**3 - 16*y**2 + 6. Factor l(r).
-3*(r - 77)*(r - 2)/7
Let l(t) be the third derivative of -t**6/210 + 5*t**5/42 - t**4 + 12*t**3/7 - 66*t**2. Let l(v) = 0. What is v?
1/2, 6
Let l = 925 - 925. Let o(u) be the first derivative of -1/21*u**6 + 0*u + 4/35*u**5 - 6 - 1/14*u**4 + l*u**2 + 0*u**3. Determine w so that o(w) = 0.
0, 1
Let n be -4 - (1 - 4)/3. Let v = n - -9. Determine c, given that 5*c**3 + 12*c**4 - 10*c**4 - v*c**4 - c**2 = 0.
0, 1/4, 1
Solve -148/9*f**4 + 446/9*f**3 + 154/9*f - 50*f**2 - 2/9 = 0 for f.
1/74, 1
Let j be -1*(2628/12 - -4*1). Let p = j + 447/2. Factor -3/2*b**4 - 4*b**2 + 7/2*b**3 - p + 9/4*b + 1/4*b**5.
(b - 2)*(b - 1)**4/4
Let c(p) be the first derivative of 0*p - 1/26*p**4 + 4 - 49/13*p**2 - 28/39*p**3. Factor c(i).
-2*i*(i + 7)**2/13
Factor 10*f**3 + 300 + 5*f**4 + 40*f**3 - 10*f**4 + 335*f**2 + 580*f.
-5*(f - 15)*(f + 1)*(f + 2)**2
Let m(y) = -y**5 - 10*y**2 + 20*y + 12*y**3 - y**5 + 26*y**4 + 4*y**5. Let z(o) = o**4 - o**2 + o. Let n(r) = 2*m(r) - 36*z(r). Factor n(l).
4*l*(l + 1)**4
Let y = 40 - 20. Factor -y*n + 5*n**2 - 5*n - 5*n + 45.
5*(n - 3)**2
Let v(j) = -14*j**4 + 16*j**3 + 70*j**2 + 24*j. Let z(o) = -2*o**4 + o**2 + o. Let n(a) = -v(a) + 4*z(a). Solve n(q) = 0.
-2, -1/3, 0, 5
Let z be ((-7)/(-5))/(10/325). Let b = -45 + z. What is h in 2 + b*h**4 + 6*h + 3*h**3 + 13/2*h**2 = 0?
-2, -1
Factor -1/2*z**2 - 7/2*z + 9.
-(z - 2)*(z + 9)/2
Let x(p) be the second derivative of -p**4/90 + 4*p**3/5 - 108*p**2/5 - 265*p. Factor x(q).
-2*(q - 18)**2/15
Let y(u) = -u**2. Let i(s) = -2*s**2 + 4*s - 6. Let h = -37 - -36. Let n(a) = h*i(a) + 4*y(a). What is d in n(d) = 0?
-3, 1
Let s(o) = -o**2 + 19*o - 30. Let i(m) = 2*m**2 - 19*m + 34. Let k(d) = 4*i(d)