at 11*w - 2*w**p - 9*w + 0*w**2 = 0.
0, 1
Let p be 87/273 - (-11 + 1140/105). Let -2*k + 6/13 + 2*k**2 - p*k**3 = 0. Calculate k.
1/3, 1, 3
Let n be (-10)/8 - 11368/(-4640). Suppose -n*c + 2/5*c**3 + 4/5 + 0*c**2 = 0. Calculate c.
-2, 1
Let -1/6*s**4 - 5290/3*s - 34/3*s**3 - 253*s**2 + 12167/6 = 0. What is s?
-23, 1
Suppose -400 = 11*d + 62. Let q = 42 + d. Determine r so that 3/5*r**3 + q*r + 0 - 6/5*r**2 + 6/5*r**4 - 3/5*r**5 = 0.
-1, 0, 1, 2
Let i(f) be the first derivative of -f**9/4104 - f**8/7980 + f**7/1140 + f**6/1710 + 5*f**3/3 + 45. Let h(l) be the third derivative of i(l). Solve h(m) = 0.
-1, -2/7, 0, 1
Factor 168*x + 4704 + 3/2*x**2.
3*(x + 56)**2/2
Let j be (-7*36/210)/(3*(-1)/5). Factor -3/2*b**4 - 9*b**j + 6*b - 3/2 + 6*b**3.
-3*(b - 1)**4/2
Factor -8*a + 62/7*a**4 - 174/7*a**3 - 2/7*a**5 + 170/7*a**2 + 0.
-2*a*(a - 28)*(a - 1)**3/7
Let n(v) be the third derivative of -v**8/504 - v**7/420 + v**6/720 + 14*v**2 + 2*v. Factor n(i).
-i**3*(i + 1)*(4*i - 1)/6
Let 538*w - 243*w + 215*w**2 - 203*w - 15*w**4 - 40*w**3 + 478*w + 780 + 290*w = 0. What is w?
-3, -2, 13/3
Let q = -186 + 186. Let d(i) be the first derivative of 0*i**2 + 0*i**4 - 2/35*i**5 + 3 + 0*i + q*i**3. Solve d(c) = 0.
0
Let w = -99995/9 - -11111. Determine z so that -52/9*z**2 + 64/3*z - 16 + w*z**3 = 0.
1, 6
Let c = -486 + 486. Let q(w) be the third derivative of 1/1680*w**8 + c*w**3 - 1/100*w**5 + 1/600*w**6 + 0 + 1/350*w**7 - 6*w**2 + 0*w - 1/60*w**4. Factor q(o).
o*(o - 1)*(o + 1)**2*(o + 2)/5
Suppose 3*p - 25 = 4*k, 18 = -0*p + 2*p - 2*k. Suppose -24*l = -27*l + v + 1, -3*v = -2*l - p. Factor -8/3*m**3 + 0 - 4/3*m**l + 4/3*m.
-4*m*(m + 1)*(2*m - 1)/3
Let j = -69 - -71. What is q in q**4 + 14 + 48*q**j - 22 - 35*q**2 - 6*q**3 - 12*q + 12 = 0?
1, 2
Let m(q) be the second derivative of -121*q**4/4 - 132*q**3 - 216*q**2 - 28*q - 2. Factor m(c).
-3*(11*c + 12)**2
Suppose -16 = -4*b - 5*l, 0 = 8*l - 4*l. Let c(x) be the third derivative of 1/270*x**5 + 0*x + 0 - 7*x**2 - 1/9*x**3 + 1/54*x**b. Factor c(w).
2*(w - 1)*(w + 3)/9
Suppose -42 = -y - 40. Suppose 6*o = 3*o - y*o. Factor -2/7*f**3 + 0*f + o + 2/7*f**2.
-2*f**2*(f - 1)/7
Let t be (60/(-100))/((-26)/8 + 1). Let b(l) be the first derivative of 6 + 6/5*l**2 + 0*l - t*l**3. Factor b(h).
-4*h*(h - 3)/5
Factor 10 + 74/7*l**2 + 2/7*l**3 + 142/7*l.
2*(l + 1)**2*(l + 35)/7
Let h(m) be the second derivative of -m**4/21 + 44*m**3/21 + 208*m**2/7 - 2*m + 176. Factor h(z).
-4*(z - 26)*(z + 4)/7
Suppose 5*x - 27 = -2*f, 4*f - 6 = -2. Let h(b) be the third derivative of 0*b**3 - 1/180*b**x + 0*b**4 + 5*b**2 + 0*b + 0. Find z, given that h(z) = 0.
0
Let m = 265 - 261. Let l be (-12)/4 + (91 - m). Find j, given that 0 - 136/3*j**3 - 16/3*j**2 + 0*j - l*j**4 + 54*j**5 = 0.
-2/9, 0, 2
Let v be 22/21 + ((-4)/21*72 - -14). Factor -v*g**4 - 4/3*g + 13/3*g**2 + 13/3*g**3 + 0.
-g*(g - 4)*(g + 1)*(4*g - 1)/3
Let l(q) = q**3 + 45*q**2 - 3*q - 133. Let y be l(-45). Let -19/2*r**2 - y*r + 2 + 5*r**3 = 0. What is r?
-1/2, 2/5, 2
Let p(x) be the first derivative of -12*x**5/35 + 41*x**4 - 8692*x**3/7 - 4746*x**2 - 2744*x + 870. Solve p(w) = 0.
-2, -1/3, 49
Let t(o) be the third derivative of -o**6/30 - 2*o**5 - 50*o**4 - 2000*o**3/3 - 67*o**2. Let t(n) = 0. Calculate n.
-10
Let m(s) be the third derivative of -1/6*s**5 + 0*s - 30*s**2 - 5/24*s**6 + 0 + 25/24*s**4 + 5/3*s**3. Determine r, given that m(r) = 0.
-1, -2/5, 1
Let v = 27/2 - 13. Let o(c) be the third derivative of 1/60*c**5 - c**2 + 0 + 0*c - v*c**3 + 1/12*c**4. Factor o(b).
(b - 1)*(b + 3)
Let o(l) be the first derivative of -13 - 1/9*l**2 - 8/27*l**3 + 2/3*l. Determine t so that o(t) = 0.
-1, 3/4
Let c(o) be the first derivative of o**5/12 - 5*o**4/24 - 4*o**2 - 5. Let k(i) be the second derivative of c(i). Factor k(y).
5*y*(y - 1)
Let c = -61 + 188. Let j be (-2)/11 - (c/(-33) - -3). What is q in 4*q**3 + 5/3*q**4 + 3*q**2 + 0 + j*q = 0?
-1, -2/5, 0
Let q(c) be the first derivative of c**7/105 - c**6/75 - 9*c**5/50 - 11*c**4/30 - 4*c**3/15 - 31*c - 17. Let r(h) be the first derivative of q(h). Factor r(p).
2*p*(p - 4)*(p + 1)**3/5
Let o(j) be the third derivative of -j**5/120 + 11*j**4/6 - 484*j**3/3 - 82*j**2 + 2. Suppose o(l) = 0. Calculate l.
44
Let f(k) = k**3 - 12*k**2 - 12*k + 3. Let p be f(13). Solve 0*j**2 + p*j**4 - 24*j**3 - 4*j**5 + 7*j**2 - 4*j + 9*j**2 = 0 for j.
0, 1
Factor -1/7*n**3 + 0*n + 0 + 3/7*n**4 - 3/7*n**2 + 1/7*n**5.
n**2*(n - 1)*(n + 1)*(n + 3)/7
Let p(x) be the third derivative of -x**8/1176 + 13*x**6/420 - 3*x**4/7 + 361*x**2 - 2. Suppose p(v) = 0. What is v?
-3, -2, 0, 2, 3
Let d(y) = -3*y**2 + 2*y - 59. Let s be d(7). Let n = 195 + s. Determine p, given that 0*p + 0 - 1/3*p**2 - 1/3*p**n = 0.
-1, 0
Let o = -3451/2 + 1726. Let s be (2/(-8))/((-3)/54). What is u in -o*u**2 - s + 3*u = 0?
3
Let l(t) = -7*t**2 + 26*t - 15. Let p(s) = -8*s**2 + 29*s - 15. Let d(a) = -3*l(a) + 2*p(a). Determine c so that d(c) = 0.
1, 3
Let t = 277 + -280. Let r(p) be the second derivative of p**4/12 + p**3/3 + p. Let y(x) = -3*x. Let m(q) = t*r(q) - 2*y(q). Factor m(u).
-3*u**2
Suppose 0 = 2*d - 2*k - 62, 3*d - k = -6*k + 101. Suppose l - 3*a = 6, 5*a = -2*l - l + d. What is h in 3/2*h**2 + 24*h**4 + l*h + 3/2 - 36*h**3 = 0?
-1/4, 1
Let f(a) = 2*a**2 - 3. Let d be f(0). Let q be ((-30)/9 + 4)/((-8)/d). Determine p so that -p - q*p**2 - 1 = 0.
-2
Let q = 214839/5 - 42967. Let s be 13/20 - 1/4. Factor q*v**2 + s - v - 1/5*v**3.
-(v - 2)*(v - 1)**2/5
Let x(t) be the first derivative of -35*t**4/12 - 10*t**3 + 10*t**2 + 16*t - 16. Let w(f) be the first derivative of x(f). Let w(v) = 0. What is v?
-2, 2/7
Let a(w) = w**2 + 10*w + 17. Let q be a(-9). Suppose -q = 23*g - 25*g. Factor 0*m - 8/5*m**5 + 0 + 2/5*m**2 - 12/5*m**3 + 18/5*m**g.
-2*m**2*(m - 1)**2*(4*m - 1)/5
Let m be (-3)/(-80) - 0/(3 + -2). Let w(y) be the second derivative of 0*y**2 - 4*y + 0 + 0*y**3 - 1/16*y**4 + m*y**5. Factor w(b).
3*b**2*(b - 1)/4
Factor -23*y**3 - 4*y - y**4 + 4*y + 34*y**2 - 56*y**2.
-y**2*(y + 1)*(y + 22)
Factor 176*w - 358*w - 2*w**4 - w**4 + 182*w + 102*w**2 - 99*w**3.
-3*w**2*(w - 1)*(w + 34)
Let u(r) = -2*r + 22. Let c be u(-11). Let b be 22/c + (-1)/4. Solve 0 - 1/4*t**3 + b*t**2 + 0*t = 0 for t.
0, 1
Let l(c) be the first derivative of 8/9*c**3 - 3*c**2 - 14 + 4/3*c. Factor l(i).
2*(i - 2)*(4*i - 1)/3
Suppose -28*s + 30 = -54. Let b(y) be the second derivative of 3*y - 1/18*y**s + 0 - 1/36*y**4 + 0*y**2 + 1/60*y**5 + 1/90*y**6. Suppose b(h) = 0. Calculate h.
-1, 0, 1
Solve 3/2*h**3 + 102 - 405/2*h + 99*h**2 = 0.
-68, 1
Suppose 2*n = -3*y + 7*n + 31, -3*y = 4*n + 14. Let s(j) be the second derivative of 0*j**3 - 3/2*j**y + 0 + 1/4*j**4 - 8*j. Factor s(v).
3*(v - 1)*(v + 1)
Solve -4*f**5 - 3195*f**3 + 4316*f - 252*f**2 - 2704 - 112*f**4 - 388*f**2 + 2339*f**3 = 0.
-13, -4, 1
Let l = 37 - 37. Let q(b) be the second derivative of -1/48*b**4 - 5*b + l - 1/24*b**3 + 1/4*b**2. Suppose q(m) = 0. Calculate m.
-2, 1
Let w(t) be the first derivative of t**5 - 25*t**4/4 + 5*t**3 + 25*t**2/2 - 20*t - 338. Let w(y) = 0. What is y?
-1, 1, 4
Suppose 24*h**2 + 2*h**4 + 26*h**3 - 37*h + 9 + 37*h - 9 = 0. Calculate h.
-12, -1, 0
Find g such that 7/4 + 6*g**2 - 5/2*g**3 - 11/2*g + 1/4*g**4 = 0.
1, 7
Let z(t) be the second derivative of 2*t**2 - 21*t + 0 + 1/2*t**3 - 1/12*t**4. Factor z(m).
-(m - 4)*(m + 1)
Let f(a) be the third derivative of 1/24*a**6 + 31*a**2 - 5/6*a**4 + 1/3*a**5 + 0*a + 0 + 0*a**3 - 1/42*a**7. Factor f(z).
-5*z*(z - 2)*(z - 1)*(z + 2)
Let g be 83/8 + 3/(-8). Let a be (42/18 + 1)*16/g. Suppose -2/3*l**5 - a*l + 2/3*l**4 - 2/3*l**2 - 8/3 + 10/3*l**3 = 0. What is l?
-1, 2
Let b = -44/7 - -667/105. Let x(g) be the second derivative of -5*g - 1/5*g**5 - b*g**6 + 1/21*g**7 + 1/3*g**4 - g**2 + 0 + 1/3*g**3. Factor x(r).
2*(r - 1)**3*(r + 1)**2
Let v = 972 - 969. Solve -111/7*d**4 - 45/7*d**5 - 86/7*d**v + 1/7 - 18/7*d**2 + 3/7*d = 0 for d.
-1, -1/3, 1/5
Let x(f) be the second derivative of -f**5/30 - 11*f**4/18 - 19*f**3/9 - 3*f**2 + 64*f. What is i in x(i) = 0?
-9, -1
Let 6/11*c**2 - 52/11 - 74/11*c = 0. What is c?
-2/3, 13
Suppose 38*l - 30 = 36*l. Let x be (-76)/95 + (33/l - 1). Find k, given that -x - 2*k**3 - 14/5*k - 22/5*k**2 = 0.
-1, -1/5
Let p(o) be the first derivative of o**7/46