 -294. Suppose -29*r**3 - 207*r**5 + s*r**5 + 12*r**2 - 19*r**3 + 51*r**4 = 0. Calculate r.
0, 2/5, 1, 2
Solve -816*z**4 + 1515*z**4 - 815*z**4 - 73*z**2 + 36*z**5 + 8*z + 132*z**3 + 13*z**2 = 0.
0, 2/9, 1
Factor 1/3*o**3 - 17*o + 8*o**2 + 26/3.
(o - 1)**2*(o + 26)/3
Let t(k) = -2*k - 6. Let j be t(-2). Let i be 10/j*(-70)/7. What is c in -48*c + 8 + 41*c**2 + 10*c**2 + 39*c**2 - i*c**3 = 0?
2/5, 1
Let q be ((-10)/4)/((-291)/776) - 6. Determine y, given that -2/3*y + q + 1/6*y**3 - 1/6*y**2 = 0.
-2, 1, 2
Let v(t) = 4*t**3 + 2*t**2 - 3*t. Let f(m) = 2*m**3 - m**2 + 1. Let o be f(2). Let p(q) = o*q**2 - 13*q**2 + q**3 - q. Let h(a) = -3*p(a) + v(a). Factor h(j).
j**2*(j + 2)
Let f(w) be the second derivative of 1/16*w**4 + 0*w**3 - 5*w + 0*w**5 + 5*w**2 + 0 - 1/80*w**6. Let m(p) be the first derivative of f(p). Factor m(s).
-3*s*(s - 1)*(s + 1)/2
Let m = -76 - -79. Solve 0 + 5*b**5 + 4/3*b - 13/3*b**m + 8/3*b**2 - 14/3*b**4 = 0.
-2/3, -2/5, 0, 1
Let v(c) = c + 12. Let a be v(-7). What is i in -4 + 24 - 10*i**2 + 10*i**3 - a*i + 5*i**4 - 5*i**5 - 3 - 12 = 0?
-1, 1
Let m(c) = 4*c**2 - 412*c - 8. Let o(k) = 3*k**2 - 275*k - 5. Let b(q) = -5*m(q) + 8*o(q). Factor b(x).
4*x*(x - 35)
Let 0*h + 8*h**3 - 4/3*h**4 + 0*h**2 - 4/3*h**5 + 0 = 0. What is h?
-3, 0, 2
Let f be (0/(-3 + 0))/(-15 - -18). Let k(u) be the first derivative of 0*u + 1/10*u**5 - 1/16*u**4 + f*u**2 - 1/24*u**6 - 2 + 0*u**3. Factor k(n).
-n**3*(n - 1)**2/4
Let h(q) be the second derivative of -q**5/45 - 13*q**4/27 - 32*q**3/9 - 8*q**2 - 2*q + 1. Factor h(d).
-4*(d + 1)*(d + 6)**2/9
Solve -4/13*c**3 + 0 + 2/13*c**2 + 0*c + 2/13*c**4 = 0.
0, 1
Let w(v) be the second derivative of v**7/21 - 2*v**6/5 + 2*v**5/5 + v**4 - 5*v**3/3 + 40*v + 4. Suppose w(n) = 0. Calculate n.
-1, 0, 1, 5
Let m be (6 + -6)*5/30. Let n(j) be the second derivative of 0*j**4 + 0 - 1/2*j**3 + 4/5*j**6 + m*j**2 - 4*j + 3/14*j**7 + 9/10*j**5. Factor n(b).
3*b*(b + 1)**3*(3*b - 1)
Let c(a) be the second derivative of a**6/180 - a**5/40 - a**4/8 - 5*a**3/36 + 372*a. Let c(s) = 0. Calculate s.
-1, 0, 5
Factor 40/7 + 121/7*b + 43/7*b**3 + 123/7*b**2 + 1/7*b**4.
(b + 1)**3*(b + 40)/7
Let q(m) be the third derivative of 0 + 5/4*m**3 + 25/48*m**4 + 1/16*m**6 + 18*m**2 + 2*m - 11/24*m**5. Factor q(y).
5*(y - 3)*(y - 1)*(3*y + 1)/2
Factor -57*m**2 + 73*m**2 + 3 - m**3 - 5329*m - 3 + 130*m**2.
-m*(m - 73)**2
Let s be ((-92)/(-12) - 9)*(-2)/4. Find m such that s*m - 7/3*m**4 - 1/3 + 8/3*m**2 - 4/3*m**5 + 2/3*m**3 = 0.
-1, 1/4, 1
Let q(t) be the second derivative of t**4/24 + 35*t**3/6 + 1225*t**2/4 + 9*t + 1. Suppose q(y) = 0. Calculate y.
-35
Let d(m) be the second derivative of -4*m - 5/72*m**3 - 1/144*m**4 - 1/6*m**2 + 0. Suppose d(n) = 0. What is n?
-4, -1
Suppose -2*y = k + 5, y - 4*k + 20 = -y. Let b be 1 + 3 + 4/(y + 0). Factor 3/7*r**4 - 3/7 + 6/7*r**b + 0*r**2 - 6/7*r.
3*(r - 1)*(r + 1)**3/7
Let n(r) be the first derivative of -5*r**4/4 + 55*r**3/3 - 60*r**2 + 47. Find d such that n(d) = 0.
0, 3, 8
Let j(s) be the third derivative of -1/80*s**5 + 0*s**3 + 1/280*s**7 + 0 - 1/64*s**4 + 7*s**2 + 0*s**6 + 1/896*s**8 + 0*s. Factor j(f).
3*f*(f - 1)*(f + 1)**3/8
Suppose 3*a + 2*w - 12 = 3*w, -a = -3*w - 12. Let -80*b + 82*b - 16*b**4 + 0*b**a + 24*b**3 + 15*b**2 = 0. What is b?
-1/4, 0, 2
Let c(h) be the second derivative of 0*h**2 + 19*h - 1/27*h**4 + 0 - 1/90*h**5 - 1/27*h**3. Factor c(u).
-2*u*(u + 1)**2/9
What is s in -537/2*s**2 + 57*s**3 - 147/4 + 210*s + 141/4*s**4 + 3*s**5 = 0?
-7, 1/4, 1
Factor -8*f**2 + 0 + 5*f + 13/4*f**3 - 1/4*f**4.
-f*(f - 10)*(f - 2)*(f - 1)/4
Let k(n) be the second derivative of -1/25*n**6 + 108/5*n**3 + 18/25*n**5 + 0 - 243/5*n**2 - 27/5*n**4 + 15*n. Determine u so that k(u) = 0.
3
Let a be ((-8)/(-64)*-4)/((-4)/16). Let 0*u + 0 - 2/3*u**3 + 4/3*u**a = 0. What is u?
0, 2
Let p(f) = -239 + 9*f**2 + 234 + f**2 - f - 9*f. Let w(x) = x**2 - x - 1. Let b(q) = p(q) - 5*w(q). Factor b(y).
5*y*(y - 1)
Let b(n) = -51*n**3 - 147*n**2 - 36*n. Let k(g) = -18*g + 9*g**3 - 16*g**3 - 73*g**2 - 14*g**3 - 4*g**3. Let s(l) = 4*b(l) - 9*k(l). Factor s(w).
3*w*(w + 3)*(7*w + 2)
Let i(x) = 13*x + 238. Let a be i(-18). Let j(z) be the first derivative of 0*z + z**3 - 3/2*z**4 + 3/5*z**5 - a + 0*z**2. Factor j(k).
3*k**2*(k - 1)**2
Let g(y) = 35*y**2 - 332*y + 520. Let l(o) = -105*o**2 + 997*o - 1560. Let z(x) = 7*g(x) + 2*l(x). Solve z(t) = 0 for t.
2, 52/7
Let f be ((-83)/(-1660)*-15)/(2*(-6)/8). Determine p so that -11/2*p + 2*p**2 + f*p**3 + 3 = 0.
-6, 1
Suppose 3*m + 2*m = 0. Suppose m*r = -6*r + 36. Factor -40*i + 8 - 20 - 38*i**2 - r*i**4 - 10*i**2 + 2*i**4 - 24*i**3.
-4*(i + 1)**3*(i + 3)
Let i(c) be the first derivative of -c**4/4 - 2*c**3/3 + 5*c**2/2 + 6*c - 44. Determine g, given that i(g) = 0.
-3, -1, 2
Let -8 - 7/4*a**3 + 1/4*a**4 + 3/2*a**2 + 8*a = 0. Calculate a.
-2, 1, 4
Let o(c) be the second derivative of c**4/66 + 28*c**3/33 + 196*c**2/11 - 57*c. Find p, given that o(p) = 0.
-14
Let g(k) = -k**3 + 19*k**2 + 30*k - 1. Let w(b) = 3*b - 22. Let n be w(11). Let f(t) = -4*t**2 - 6*t. Let p(l) = n*f(l) + 2*g(l). Suppose p(q) = 0. What is q?
-1
Suppose o + 0*u - 31 = -2*u, 4*u + 88 = 4*o. Suppose 8*p - 3*p = o. Let -2 - 2 + 6*y**5 + 8*y**3 + 4*y**2 - 8*y**p - 6*y = 0. What is y?
-1, 1, 2
Let d(n) be the third derivative of n**5/15 - 6*n**4 + 216*n**3 - 32*n**2. Factor d(r).
4*(r - 18)**2
Let w(i) = i**2 + 4*i - 3. Let k be w(-5). Factor -n**3 - 22*n**k + n**2 - 90*n - 343 - 82*n + 25*n.
-(n + 7)**3
Let h(g) be the third derivative of g**8/84 - g**7/35 + g**6/60 - 3*g**2 + 4. Factor h(y).
2*y**3*(y - 1)*(2*y - 1)
Let r = 24633 - 172426/7. Solve 0*n + 2/7*n**2 + r*n**3 + 1/7*n**5 + 4/7*n**4 + 0 = 0.
-2, -1, 0
Suppose 0*x - 16/11*x**3 + 2/11*x**4 + 0 + 0*x**2 = 0. What is x?
0, 8
Let -2/11*t + 2/11*t**2 - 12/11 = 0. Calculate t.
-2, 3
Let s(a) be the second derivative of -a**4/54 - 40*a**3/27 - 400*a**2/9 + 99*a. Determine d so that s(d) = 0.
-20
Let x be 29/(-15) + ((-1953)/27)/(-31). Find b such that -x*b**2 + 4/5 + 2/5*b = 0.
-1, 2
Factor -8*j**2 - 4 + 6/7*j**3 + 102/7*j.
2*(j - 7)*(j - 2)*(3*j - 1)/7
Let g(l) be the first derivative of -l**6/6 + l**5/4 + 5*l**4/4 - 5*l**3/6 - 5*l**2 - 31*l - 2. Let s(a) be the first derivative of g(a). Factor s(r).
-5*(r - 2)*(r - 1)*(r + 1)**2
Let p be ((-6)/(-4))/((-48)/(-128)). Factor 0 - 2/9*r**5 - 2*r**3 + 10/9*r**p - 4/9*r + 14/9*r**2.
-2*r*(r - 2)*(r - 1)**3/9
Let q(v) = -8*v - 5. Let h be q(-3). Let z = h - 17. Factor -9*p**4 - 9*p**3 + 9*p**z + 4*p**5 - p**5 + 6*p**3.
3*p**2*(p - 3)*(p - 1)*(p + 1)
Let v(s) be the third derivative of -7*s**2 + 1/12*s**4 + 0*s + 3/40*s**6 - 1/42*s**7 + 0 + 1/336*s**8 - 7/60*s**5 + 0*s**3. Factor v(o).
o*(o - 2)*(o - 1)**3
Suppose -3 = 3*z - 9*g + 7*g, 0 = 4*z + 5*g - 42. Let -3/2*h + 3/4*h**4 + 3/2*h**z - 3/4 + 0*h**2 = 0. What is h?
-1, 1
Let v(q) be the third derivative of -q**8/141120 + q**7/35280 + q**5/10 + 13*q**2. Let p(m) be the third derivative of v(m). Let p(r) = 0. Calculate r.
0, 1
Let f(z) be the second derivative of -23*z + 0*z**2 - 1/42*z**4 + 0 - 1/42*z**3 - 1/140*z**5. Factor f(u).
-u*(u + 1)**2/7
Let a(d) be the first derivative of -d**6/2 + 2*d**5/5 + 9*d**4/2 - 12*d**3 + 25*d**2/2 - 6*d + 18. Determine r, given that a(r) = 0.
-3, 2/3, 1
Let f(w) = -9*w**2 - 17*w - 79. Let s(v) = -451*v - 40 + 906*v - 463*v - 5*v**2. Let i(u) = -4*f(u) + 7*s(u). Factor i(a).
(a + 6)**2
Let b = 562 - 559. Let o(f) be the first derivative of -1/2*f**4 + 16/15*f**b + 0*f + 4 + 4/5*f**2. Factor o(n).
-2*n*(n - 2)*(5*n + 2)/5
Let l(b) be the third derivative of -1/30*b**5 + 5/36*b**4 + 1/315*b**7 + 0*b + 0 + 7*b**2 - 1/180*b**6 - 2/9*b**3. Solve l(h) = 0 for h.
-2, 1
Let m(d) be the second derivative of 1/7*d**3 + 43*d + 0 - 1/10*d**6 + 12/35*d**5 - 11/28*d**4 + 0*d**2. Let m(x) = 0. Calculate x.
0, 2/7, 1
Let k(j) be the third derivative of 1/16*j**3 + 1/1680*j**7 + 10*j**2 + 0 + 0*j + 1/480*j**6 - 1/120*j**5 - 1/96*j**4. Factor k(f).
(f - 1)**2*(f + 1)*(f + 3)/8
Let y = 13300 + -39893/3. Suppose -11*k - 10/3 + y*k**2 = 0. Calculate k.
-2/7, 5
Let z(a) be the third derivative of -a**5/360 - 287*a**4/72 - 82369*a**3/36 - 31*a**2 + 14*a. Suppose z(u) = 0. Calculate u.
-287
Let l be (-72)/(63 + -87)*((-1)/3 + 1). Factor -7/4*g*