l - 1)**4*(4*l - 1)
Suppose -2*x = -0*p + p, 0 = 2*x + 2. What is j in -2*j**2 - 3*j**2 + 3*j**p - 450 - j + 61*j = 0?
15
Let o(v) be the third derivative of 0*v**3 - 1/70*v**5 - 1/420*v**6 + 0 + 1/21*v**4 + 0*v + 2*v**2. Determine y so that o(y) = 0.
-4, 0, 1
Let d be 11/2*744/682. Suppose -12 + d*t**4 - 3/2*t**5 + 30*t - 21*t**2 - 3/2*t**3 = 0. Calculate t.
-2, 1, 2
Suppose -h - k - 4*k - 6 = 0, 0 = 4*k. Let r be (1 - (-363)/(-9))*h. Factor 4*g**2 + 4 + 230*g - 2*g**2 - r*g.
2*(g - 2)*(g - 1)
Let r be -30 - -21 - (7 - 18). Determine t, given that -4/3*t**r + 14/3*t - 4/3 - 2*t**3 = 0.
-2, 1/3, 1
Let g = 19 - 5. Let m = -12 + g. Find u such that 6*u + m*u**2 - 1 - 6*u - 1 = 0.
-1, 1
Let q(l) be the third derivative of -l**7/105 - l**6/60 + l**5/10 + l**4/12 - 2*l**3/3 - 203*l**2. Factor q(b).
-2*(b - 1)**2*(b + 1)*(b + 2)
Let k = 100/171 + 10/19. Let p(m) be the first derivative of 7/3*m**2 - k*m**3 - 4/3*m + 10. Let p(t) = 0. What is t?
2/5, 1
Let u(a) be the third derivative of -a**5/540 + 41*a**4/216 + 43*a**3/27 - 312*a**2. Factor u(r).
-(r - 43)*(r + 2)/9
Suppose 11 = -3*s + 5*h, -10*h = -12*h + 8. Suppose -3*a - 15/2*a**2 + 0 - 6*a**s - 3/2*a**4 = 0. Calculate a.
-2, -1, 0
Suppose 29/6*o + 2*o**2 + 1/6*o**3 + 3 = 0. Calculate o.
-9, -2, -1
Let r(c) be the third derivative of c**6/900 - c**5/300 - c**4/30 + 5*c**3/6 - 8*c**2. Let m(q) be the first derivative of r(q). Factor m(j).
2*(j - 2)*(j + 1)/5
Let s = 31 + -35. Let a be (-6)/(-20) - -3*s/(-24). Factor -a*t**4 + 0*t + 4/5*t**3 + 8/5*t**2 + 0.
-4*t**2*(t - 2)*(t + 1)/5
Let q be 0 + 30/18 - 16/(-12). Suppose 9 = 2*k + 1. Let -q*g**3 - 6*g + 1/2*g**k + 13/2*g**2 + 2 = 0. Calculate g.
1, 2
Factor -42*g**2 + 2*g**3 + 84*g**2 - 30*g**2.
2*g**2*(g + 6)
Let m(h) be the third derivative of 1/105*h**7 - 1/15*h**5 - 24*h**2 - 1/20*h**6 - 8/3*h**3 + 0*h + h**4 + 0. Solve m(o) = 0.
-2, 1, 2
Let d be (-30020)/(-3040) + (-1 - 7). Factor d*a + 3/8*a**2 + 3/2.
3*(a + 1)*(a + 4)/8
Let i be ((-21)/(-9) - 3)/((-10)/45). Suppose -5*y**4 - 4*y**3 - 6*y**4 + 20*y**2 + 0*y**i + 3*y**4 - 8*y = 0. Calculate y.
-2, 0, 1/2, 1
Let d(w) = 8*w**4 - 12*w**2 + 12*w - 4. Let t be -1 + -1*(-8)/(2/(-1)). Let s(b) = 9*b**4 - 12*b**2 + 13*b - 5. Let g(m) = t*d(m) + 4*s(m). Factor g(k).
-4*k*(k - 1)**2*(k + 2)
Let k(g) = -152*g - 8662. Let v be k(-57). Suppose -12 - 69/2*h**3 - 6*h + 15/2*h**4 + 45*h**v = 0. What is h?
-2/5, 1, 2
Let b = -2624 + 2626. Factor 14/15 + 2/15*x**b - 16/15*x.
2*(x - 7)*(x - 1)/15
Suppose 0 = 8*t - 120 + 32. Let w(u) be the first derivative of 1/4*u**4 + t - 4/9*u**3 + 7/45*u**5 + 0*u - 2/9*u**2. Solve w(p) = 0 for p.
-2, -2/7, 0, 1
Suppose -6*w**4 + 21 + 5*w**3 - 29*w**3 - 81*w + 93*w**2 - 3*w**3 = 0. Calculate w.
-7, 1/2, 1
Let d(t) = -t**2 - 37*t - 284. Let z be d(-26). Factor 2/5*r**4 - 2/5*r + 2/5 - 4/5*r**z + 4/5*r**3 - 2/5*r**5.
-2*(r - 1)**3*(r + 1)**2/5
Let w(x) = -x**4 - 2*x**3 - x**2 - x. Let k(c) = -20*c**4 + 20*c**3 - 12*c**2 - 68*c. Let t(l) = k(l) - 16*w(l). Factor t(o).
-4*o*(o - 13)*(o - 1)*(o + 1)
Let g(i) = 11*i**2 - 18*i - 4. Let n(o) = 14*o**2 - 17*o - 5. Let y(h) = -5*g(h) + 4*n(h). Factor y(u).
u*(u + 22)
Suppose -3*v + 176 = -z, 0*v + 3*z + 108 = 2*v. Factor 13*w + 4*w**2 + 3*w + 12*w + v + 36*w.
4*(w + 1)*(w + 15)
Factor 71/2*p**2 - 1/2*p**3 + 0 + 36*p.
-p*(p - 72)*(p + 1)/2
Let n be 30/(-2)*(-28)/10. Let x be n/(-3)*3/(-6). Suppose 4*g + 2 - 3*g**3 - x*g**3 + 6*g**3 - 2*g**4 = 0. What is g?
-1, 1
Let t(j) be the first derivative of -2*j**3/33 + j**2/11 + 4*j/11 + 67. Suppose t(q) = 0. What is q?
-1, 2
Let t(l) be the first derivative of 2*l**7/315 - l**6/45 + l**4/9 - 2*l**3/9 - 4*l**2 + 3. Let a(f) be the second derivative of t(f). Find c such that a(c) = 0.
-1, 1
Let p = -92 + 94. Determine z, given that -4*z**p - 15*z + 4*z**3 + 15*z + 0*z**3 = 0.
0, 1
Let k(r) = -9*r**3 + 17*r**2 + 5*r - 7. Let h(z) = -5*z**3 + 9*z**2 + 2*z - 4. Let a(p) = 7*h(p) - 4*k(p). Factor a(s).
s*(s - 6)*(s + 1)
Factor -g**2 + 12*g + 0*g**2 - 15 - 21.
-(g - 6)**2
Let y = -12 - -5. Let r = -5 - y. Find g such that 2*g - 2*g**r + 8 + 8*g + 6*g**2 + 2*g = 0.
-2, -1
Determine a so that 152/7*a**3 - 710/7*a**2 + 592/7*a - 138/7 + 8/7*a**4 = 0.
-23, 1/2, 3
Let w(t) = 44*t**2 + 1248*t + 97284. Let v(l) = -2*l**2 + 3. Let c(k) = 20*v(k) + w(k). Factor c(u).
4*(u + 156)**2
Let p be ((-21)/16)/((-27)/36). Let v(a) be the third derivative of 5/2*a**6 + 0 + 13/4*a**5 + p*a**4 + 0*a + 2*a**2 + 1/2*a**3. Factor v(b).
3*(4*b + 1)*(5*b + 1)**2
What is r in 70*r + 64 - 6*r - 30*r + 4*r**2 - 2*r = 0?
-4
Let b(w) be the third derivative of -w**8/70560 + w**7/5880 + 7*w**5/20 - 5*w**2. Let t(p) be the third derivative of b(p). Factor t(z).
-2*z*(z - 3)/7
Solve -26*f**3 - 2867*f**4 - 85*f**2 + 26*f + 27*f**2 + 60 + 2865*f**4 = 0 for f.
-10, -3, -1, 1
Let v(l) be the first derivative of 2*l**5/35 - 11*l**4/14 - 26*l**3/7 - 41*l**2/7 - 4*l - 2. Factor v(c).
2*(c - 14)*(c + 1)**3/7
Suppose 82 - 91 = -3*p. Factor -16*f**2 + p + 181*f + 6*f**3 + 1 - 175*f.
2*(f - 2)*(f - 1)*(3*f + 1)
Let u(g) be the second derivative of 0 + 169/80*g**5 + 11*g + 5*g**2 + 1/2*g**3 + 13/8*g**4. Let x(f) be the first derivative of u(f). Factor x(t).
3*(13*t + 2)**2/4
Factor -3/4*n + 0 + 1/2*n**3 - 1/8*n**2 - 1/8*n**4.
-n*(n - 3)*(n - 2)*(n + 1)/8
Let r(c) be the third derivative of 6*c**2 - 1/210*c**7 - 1/60*c**6 + 0*c**3 + 0*c + 0 + 1/60*c**5 + 1/12*c**4. Factor r(h).
-h*(h - 1)*(h + 1)*(h + 2)
Let r(l) be the second derivative of -l**8/1680 + l**4/6 - 17*l. Let x(a) be the third derivative of r(a). What is k in x(k) = 0?
0
Let x(l) be the second derivative of -l**7/105 + l**6/25 - l**5/25 - l**4/15 + l**3/5 - l**2/5 + 2*l. Let x(n) = 0. Calculate n.
-1, 1
Let l(u) be the first derivative of 3/4*u**2 + 1/4*u**3 + 0*u - 6. Solve l(g) = 0 for g.
-2, 0
Let q(u) be the first derivative of u**4/4 - 2*u**3 + 3. Factor q(z).
z**2*(z - 6)
Let l = -577/180 - -32/9. Let g(a) be the first derivative of 0*a**2 + 9/25*a**5 - l*a**4 - 2/15*a**3 + 0*a + 6. Solve g(s) = 0.
-2/9, 0, 1
Let y(o) be the second derivative of o**6/5 - 15*o**5/8 + 21*o**4/4 - 25*o**3/4 + 3*o**2 - o - 6. Suppose y(b) = 0. Calculate b.
1/4, 1, 4
Let x(w) = w**3 - 10*w**2 + 2*w - 20. Let p be 60/9*15/10. Let a be x(p). Determine f, given that -5/2*f**2 - 3/2*f**3 + 9/2*f**4 - 1/2*f + a = 0.
-1/3, 0, 1
Let o(x) be the second derivative of 0*x**3 + 18*x + 1/90*x**5 + 0*x**2 - 1/54*x**4 + 2/135*x**6 + 0. Factor o(j).
2*j**2*(j + 1)*(2*j - 1)/9
Suppose x - 2*r + 11 = 0, 3*r - 1 = -4*x + 2*r. Let f(n) = -16*n - 10. Let k be f(x). Factor 6/7 - k*b**2 - 9/7*b.
-3*(2*b + 1)*(7*b - 2)/7
What is l in -2/9*l**5 + 88/9*l + 28/9*l**4 - 86/9*l**3 + 52/9*l**2 - 80/9 = 0?
-1, 1, 2, 10
Let l(y) = -6*y - 6. Let p be l(4). Let s be ((-4)/(-10))/((-16)/p). Factor -3/4*u**4 + 3/4*u**3 + 0 - 3/4*u + s*u**2.
-3*u*(u - 1)**2*(u + 1)/4
What is m in 2992/7*m + 2/7*m**5 + 94/7*m**4 + 1238/7*m**3 + 968/7 + 3170/7*m**2 = 0?
-22, -1
Find g, given that 9/7 - 12/7*g + 3/7*g**2 = 0.
1, 3
Let a(n) = 9*n - 37. Let u be a(28). Let -2 - 222*k**2 - 6 + 18*k + u*k**2 = 0. What is k?
4/7, 2
Let g = 31883/13958 - -3/1994. Find y, given that -4/7 + g*y - 3*y**2 + 9/7*y**3 = 0.
2/3, 1
Let k(t) be the third derivative of -t**8/23520 + t**7/4410 - t**4/4 + 3*t**2. Let w(q) be the second derivative of k(q). Factor w(u).
-2*u**2*(u - 2)/7
Let i be -7 - 0 - 3/(-1). Let q(t) = -t**2 - t. Let u(w) = -9*w**2 - 74*w - 245. Let m(z) = i*q(z) + u(z). Factor m(y).
-5*(y + 7)**2
Factor -2/3*x**3 - 70/3*x - 34/3 - 38/3*x**2.
-2*(x + 1)**2*(x + 17)/3
Let w(m) be the third derivative of m**6/30 - m**5/15 - 2*m**4/3 + 8*m**3/3 - 101*m**2. Let w(s) = 0. What is s?
-2, 1, 2
Let b(o) = -31*o - 246. Let v be b(-8). Let r(j) be the second derivative of 0 + 1/26*j**5 - 1/65*j**6 + 1/39*j**4 + 0*j**v + 0*j**3 + 2*j. Factor r(p).
-2*p**2*(p - 2)*(3*p + 1)/13
Let l(u) be the third derivative of u**5/20 - u**4/2 + 2*u**2 - 6. Factor l(x).
3*x*(x - 4)
Let h(o) = 2*o**3 + 12*o**2 - 20*o + 8. Let a(c) = -c**4 - c**3 + 2*c - 1. Let i(x) = -2*a(x) - h(x). Factor i(z).
2*(z - 1)**3*(z + 3)
Let u be 4*(-18)/168*-7 - 0. Let c(w) be the first derivative of -7/2*w**2 - w**5 + 3/2*w**4 + 1/6*w**6 - 11 + u*w + 2/3*w**3. Find h, given that c(h) = 0.
-1, 