 0*x**3 - 1/3*x**4 + 0*x + 1/3*x**2 = 0.
-1, 0, 1
Suppose -33*r - 15*r + 222 = 26*r. Suppose -2/3*z - z**4 + z**2 + 0 + 1/3*z**r + 1/3*z**5 = 0. Calculate z.
-1, 0, 1, 2
Let y(j) be the third derivative of -j**9/60480 + j**8/20160 + j**7/840 - j**5/10 + 13*j**2. Let l(h) be the third derivative of y(h). Solve l(n) = 0 for n.
-2, 0, 3
Let w(m) be the third derivative of m**7/280 - m**6/160 - 13*m**5/80 + 25*m**4/32 - 3*m**3/2 - m**2 + 31*m. Factor w(n).
3*(n - 3)*(n - 1)**2*(n + 4)/4
Let y(x) be the first derivative of -x**5/10 - 3*x**4/8 + 2*x**3/3 + 3*x**2 - 91. Suppose y(v) = 0. What is v?
-3, -2, 0, 2
Let w(z) be the first derivative of -z**3 - 57*z**2/2 - 102*z + 286. Factor w(t).
-3*(t + 2)*(t + 17)
Suppose -2*w + 3 = -2*h - 5, -4*h - 6 = w. Suppose 3*j = w*j. Determine z so that z**2 + 0*z**2 + j*z**2 - 2*z = 0.
0, 2
Let v be (9/12)/(-6 + 9). Let y(w) be the first derivative of -1/2*w**2 - 3 - 1/15*w**5 + v*w**4 + 2/3*w - 1/9*w**3. Suppose y(r) = 0. What is r?
-1, 1, 2
Let y(o) be the third derivative of o**7/2520 + o**6/360 + o**5/120 + o**4/72 - 19*o**3/3 - 24*o**2. Let h(x) be the first derivative of y(x). Factor h(b).
(b + 1)**3/3
Factor -7 - 2386*v - 8*v**3 + 2*v**4 + 2394*v + 6*v**2 - v**4.
(v - 7)*(v - 1)**2*(v + 1)
Let i = 76 - 76. Let w be (i - 3)*(-1 + -2 + 2). Let 3/2*m**w + 3 + 3/4*m**4 - 9/4*m**2 - 3*m = 0. Calculate m.
-2, 1
Suppose -5*z = -m - 15, -12*z + 14*z = 3*m + 19. What is r in -1/3*r**4 + 1 + 4/3*r - 4/3*r**3 - 2/3*r**z = 0?
-3, -1, 1
Let x(i) be the third derivative of 1/105*i**7 + 0*i + 47/10*i**5 + 100/3*i**3 + 55/3*i**4 + 11/30*i**6 + 0 - 32*i**2. Suppose x(d) = 0. Calculate d.
-10, -1
Let y be (5*(-3)/9)/((-220)/528). Let i(z) be the first derivative of 0*z - 3 + z**3 + 3/4*z**y + 1/5*z**5 + 1/2*z**2. Factor i(d).
d*(d + 1)**3
Let m be (-6)/4 - ((-85)/10 - -3). Let u(b) = -8*b**2 - 7*b - 3. Let w(r) = 9*r**2 + 8*r + 4. Let p(l) = m*u(l) + 3*w(l). What is g in p(g) = 0?
-4/5, 0
Let g(s) be the third derivative of 7*s**6/180 + 3*s**5/2 + 23*s**4/3 + 68*s**3/9 + 259*s**2. Factor g(p).
2*(p + 2)*(p + 17)*(7*p + 2)/3
Suppose -17 = -4*y + 3*a + 261, -4*a = -8. Let m = y + -139/2. Find r such that m*r**2 - 2*r - 2 = 0.
-2/3, 2
Let t(c) = c - 17. Let h be t(11). Let n(r) = -r**4 + r**3 + r. Let l(d) = 21*d**4 + 18*d**3 + 3*d**2 - 12*d. Let x(z) = h*n(z) - l(z). Factor x(o).
-3*o*(o + 1)**2*(5*o - 2)
Suppose 5*i + 4 = 6*i. Determine v, given that 8*v + v**2 - 2*v**2 - i - 4 - v**2 = 0.
2
Let z = 300 - 298. Let 0 + 4/5*i**3 + 0*i**z + 0*i - 4/5*i**5 + 0*i**4 = 0. Calculate i.
-1, 0, 1
Suppose -21 - 7 - 2 = -10*u. Factor -1/7*h**4 + 1/7*h**u - 2/7 + 3/7*h**2 - 1/7*h.
-(h - 2)*(h - 1)*(h + 1)**2/7
Let c(u) = 15*u**2 + 131*u + 251. Let q(y) = 3*y**2 + 26*y + 50. Let a = -12 - -1. Let l(m) = a*q(m) + 2*c(m). Factor l(x).
-3*(x + 4)**2
Let b(p) be the first derivative of p**6/3 - 4*p**5/5 - 27*p**4/2 - 104*p**3/3 - 28*p**2 - 381. Factor b(q).
2*q*(q - 7)*(q + 1)*(q + 2)**2
Let f(m) = m**2 - m + 2. Let v(i) = -16*i**2 + 20*i - 48. Let x(r) = 36*f(r) + 2*v(r). Factor x(o).
4*(o - 2)*(o + 3)
Let q = 48 + -46. Factor z**3 + 2 - 1 - 142*z**2 + 3*z + 145*z**q.
(z + 1)**3
Let l(i) be the second derivative of -i**7/28 - i**6/5 + 5*i**4/4 + i**3/4 - 9*i**2/2 + 207*i. Let l(o) = 0. Calculate o.
-3, -2, -1, 1
Let v(l) be the first derivative of -l**8/1320 - 4*l**7/1155 - l**6/180 - l**5/330 + 20*l**3/3 - 16. Let c(i) be the third derivative of v(i). Factor c(q).
-2*q*(q + 1)**2*(7*q + 2)/11
Let o be 2 - (-8 - 2) - 12. Factor o*m + 4/7*m**3 - 4/7*m**2 + 0.
4*m**2*(m - 1)/7
Let k be ((0 - 1) + 1)*1/8. Find b such that k + 4*b**3 + 2/3*b - 8/3*b**2 + 2/3*b**5 - 8/3*b**4 = 0.
0, 1
Let j = -2520/13 + 194. Let f = 842/403 - 60/31. Determine s so that -f*s**5 + j - 2/13*s - 4/13*s**2 + 2/13*s**4 + 4/13*s**3 = 0.
-1, 1
Let d(l) = 18*l - 9. Let t be d(4). Let m = -32 + t. Suppose 31*p - 4*p**4 - p**4 - 5 - m*p + 10*p**2 = 0. Calculate p.
-1, 1
Let g = 91/227 - 46/681. Factor -8*q**3 - 3*q**2 + 0 - 16/3*q**4 - g*q.
-q*(q + 1)*(4*q + 1)**2/3
Determine m so that 24/13*m**2 - 2/13*m + 2/13*m**3 - 24/13 = 0.
-12, -1, 1
Let q(r) = 2*r**2 - 2*r. Let m = 8 + -6. Let x(l) = -4*l**m - 2*l**2 + 6*l + l**2 - l**2. Let o(u) = 7*q(u) + 2*x(u). Factor o(v).
2*v*(v - 1)
Determine f so that 1/3*f + 0 - 1/2*f**2 + 1/6*f**3 = 0.
0, 1, 2
What is w in 784*w + 161*w - 446*w**2 - 1849 + 531*w**2 + w**3 + 818*w = 0?
-43, 1
Find o such that -22/7*o**2 - 5/7*o**3 + 1/7*o**4 - 16/7*o + 0 = 0.
-2, -1, 0, 8
Let s(o) = -o**4 - 1. Let w(d) be the first derivative of -8/5*d**5 - 6*d - 4 + d**2 + 2/3*d**3 - 1/2*d**4. Let f(k) = 6*s(k) - w(k). Solve f(g) = 0.
-1, 0, 1
Let r = 17 + -13. Suppose 3*f + 12 = 3*d, -5*d - 2*f = -r*d - 1. Factor -1 - 6*x**2 + d - 12*x - 4 - 8*x**3 - 12*x**2.
-2*(x + 1)**2*(4*x + 1)
Let j(k) be the first derivative of -5*k**3/12 + 5*k**2 - 35*k/4 - 151. Find g such that j(g) = 0.
1, 7
Let s(d) = -d + 20. Suppose -174*x + 173*x + 17 = 0. Let b be s(x). Let -4/7*l**b - 12/7*l**2 + 4/7*l**4 + 8/7 + 4/7*l = 0. Calculate l.
-1, 1, 2
Factor 11*k**2 - 2137*k + 4 + 2221*k + 430*k**2.
(21*k + 2)**2
Let h(w) be the second derivative of w**7/26460 - 2*w**6/945 + 16*w**5/315 + 19*w**4/12 - 23*w. Let i(t) be the third derivative of h(t). Factor i(g).
2*(g - 8)**2/21
Let k(c) be the third derivative of 1/450*c**6 + 0*c**4 - 1/1575*c**7 + 0*c + 0 + 20*c**2 + 0*c**3 + 1/150*c**5. Factor k(r).
-2*r**2*(r - 3)*(r + 1)/15
Let g be (-77)/55*(-1)/7. Let w(x) be the first derivative of -5 - 12/5*x**2 - 48/5*x - g*x**3. Solve w(k) = 0.
-4
Determine f, given that -28/9*f**2 - 188/9*f + 56/9 = 0.
-7, 2/7
Let s(a) = -a**2 - 7*a + 98. Let x be s(7). Determine v so that -2/9*v**4 + 2/9 - 4/9*v**3 + x*v**2 + 4/9*v = 0.
-1, 1
Let f = -11 + 8. Let d = f + 6. Let 0 - 5*v + 2 + v**3 - 2*v**d + 4*v**2 = 0. What is v?
1, 2
Let t(f) be the second derivative of -f**6/2160 + f**5/120 - 5*f**4/144 + 23*f**3/6 - 4*f. Let m(z) be the second derivative of t(z). Factor m(j).
-(j - 5)*(j - 1)/6
Let x(j) be the third derivative of 9*j**2 + 1/5*j**5 - j**3 - 3/40*j**6 + 0 + 0*j + 1/8*j**4. Factor x(g).
-3*(g - 1)**2*(3*g + 2)
Let a be -6 - (5 - (1 + (-516)/(-51))). Let 4/17*b**3 - 22/17*b**2 + a*b**4 - 24/17*b + 72/17 = 0. Calculate b.
-3, 2
Let v = -69839/72 + 970. Let p(x) be the third derivative of 0*x + 6*x**2 + 0*x**3 + 1/180*x**5 + v*x**4 + 0. Determine j so that p(j) = 0.
-1, 0
Suppose 3*p - 1 = 11. What is w in 2*w**2 - 8*w**2 - 6*w**2 - 10*w - 3*w**2 + 40*w**3 - 15*w**p = 0?
-1/3, 0, 1, 2
Suppose -14*l + 30*l = 28*l - 36. Let 0 + 2/19*d**l - 2/19*d - 2/19*d**2 + 2/19*d**4 = 0. Calculate d.
-1, 0, 1
What is h in -3*h - 3*h**2 - 19*h**3 + 392*h**4 + 8*h**5 + 5*h - 398*h**4 = 0?
-1, -1/2, 0, 1/4, 2
Let i = 7 + -4. Let 8 - 8*b**2 + 39*b + 9*b**3 - 37*b**i - 11*b = 0. Calculate b.
-1, -2/7, 1
Let q be 6/12*2*3. Factor 20*a + 4*a**2 + 10*a**q - 22*a**2 - 6*a - 2*a**4 - 1 - 3.
-2*(a - 2)*(a - 1)**3
Let z(x) = -65*x**3 + 265*x**2 - 405*x + 30. Let o(n) = -9*n**3 + 38*n**2 - 58*n + 4. Let c(a) = 15*o(a) - 2*z(a). Factor c(v).
-5*v*(v - 6)*(v - 2)
Let g = 358 - 358. Let q(z) be the third derivative of 1/180*z**6 - 2/45*z**5 - 1/36*z**4 - 2*z**2 + 0*z**3 + g + 0*z + 4/315*z**7. Find a such that q(a) = 0.
-1, -1/4, 0, 1
Let b(o) = -16*o**3 - 9*o**2. Let h(w) = -16*w**3 - 10*w**2. Suppose 0 + 7 = 2*r + n, -2*r + 3*n = -27. Let k(m) = r*b(m) - 5*h(m). Factor k(d).
-4*d**2*(4*d + 1)
Let o(j) = 7*j**5 + 2*j**4 + j**3. Let f(a) = -a**5 - a**3. Let y(s) = s**2 - 5*s + 5. Let m be y(3). Let t(u) = m*o(u) - 5*f(u). Factor t(c).
-2*c**3*(c - 1)*(c + 2)
Let b(y) = 2*y - 5. Let l be b(5). Suppose l*z = -2*z + 133. Let -5*c**2 - c + 6*c + z*c**3 + 5 - 24*c**3 + 0*c = 0. Calculate c.
-1, 1
Suppose 126*z - 110*z = 64. Let v(t) be the second derivative of -t**2 + 1/4*t**5 + 2/3*t**z + 5*t + 0 + 1/6*t**3. Factor v(g).
(g + 1)**2*(5*g - 2)
Factor -1/5*g**2 + 17/5*g + 18/5.
-(g - 18)*(g + 1)/5
Let x be (-162)/(-9) + -4 + 0. Factor 18 - 176*i + 210*i**2 + x - 44*i**3 - 28*i**3.
-2*(3*i - 4)**2*(4*i - 1)
Let y(b) be the first derivative of 1/2*b**2 - 6*b - 2 + 1/3*b**3. Let y(u) = 0. Calculate u.
-3, 2
Let v(w) be the second derivative of -w**6/60 - 7*w**5/20 + 5*w**4/8 + 336*w. Factor v(h).
-h**2*(h - 1)*(h + 15)/