39 - 9*u**2/13 - 44*u/13 + 207. Let a(b) = 0. Calculate b.
-2, 11
Suppose -12*r + 14*r = -8. Let p be (r/7)/((-40)/28). Suppose 0*t + 0 + 2/5*t**2 + p*t**3 = 0. Calculate t.
-1, 0
Let l(b) be the third derivative of b**5/60 + 17*b**4/24 - 3*b**3 - 141*b**2. Determine v, given that l(v) = 0.
-18, 1
Let v(n) be the third derivative of n**6/1440 + n**5/160 + n**4/48 - 2*n**3 + 16*n**2. Let f(g) be the first derivative of v(g). Let f(l) = 0. What is l?
-2, -1
Let o(k) be the first derivative of 0*k**4 - 1/200*k**5 + 0*k**2 + 1/600*k**6 - 10/3*k**3 + 6 + 0*k. Let w(g) be the third derivative of o(g). Solve w(r) = 0.
0, 1
Let v = 681/8 + 5507/40. Let z = v - 222. Solve 2/5*x**2 + 0 - z*x + 4/5*x**3 - 2/5*x**4 = 0 for x.
-1, 0, 1, 2
Let w be (8 + ((-256)/56 - 4))/(-3 - -1). Let u = 11/175 - -2/25. Factor -u - w*o - 1/7*o**2.
-(o + 1)**2/7
Let g = -341 - -196. Let p be (-4)/(-6)*(5 - g/(-35)). Factor -p*r**5 + 0*r + 0 + 4/7*r**3 + 0*r**4 + 0*r**2.
-4*r**3*(r - 1)*(r + 1)/7
Determine o so that 0 - 188/7*o + 4/7*o**2 - 4/7*o**4 + 188/7*o**3 = 0.
-1, 0, 1, 47
Let p(s) = -40*s**3 - 498*s**2 - 509*s + 17. Let q(w) = 14*w**3 + 166*w**2 + 170*w - 6. Let h(z) = -6*p(z) - 17*q(z). Find v, given that h(v) = 0.
-82, -1, 0
Let v(n) be the third derivative of -n**6/10 - n**5/100 + 2*n**4/5 - 3*n**3/10 - 41*n**2. Determine l, given that v(l) = 0.
-1, 1/5, 3/4
Let n(d) = d**2 + 2*d. Let c(m) = -2*m**3 + 2*m**2 - 2*m - 4. Let h(s) = c(s) + 2*n(s). Factor h(y).
-2*(y - 2)*(y - 1)*(y + 1)
Let f(x) = 1 - 5 - 2 + 64*x + 8*x**3 + 35*x**2 - 7. Let k(h) = -4*h**3 - 18*h**2 - 32*h + 6. Let y(q) = 6*f(q) + 13*k(q). Determine i, given that y(i) = 0.
-4, -2, 0
Let o = -55 - -57. Factor -10*s**2 - 11*s**3 + 2*s**2 + 9*s - 4*s**o - 2*s**4.
-s*(s + 3)**2*(2*s - 1)
Let o = 25 + -23. Determine q, given that 23*q**4 + o*q**2 - 5*q**2 - 20*q**4 = 0.
-1, 0, 1
Suppose l - 3 = -0*l. Determine t so that 14*t**3 - 3*t**2 + 3*t**4 - 2*t**3 - 6*t**3 - 3*t**l - 3*t = 0.
-1, 0, 1
Suppose -1/8*x**2 - 15/8*x - 9/2 = 0. What is x?
-12, -3
Let o(c) be the second derivative of c**5/20 - c**4/4 - c**3/6 - 9*c**2/2 + 53*c. Let y be o(4). Factor 54/5*v**y + 16/5 + 72/5*v + 108/5*v**2.
2*(3*v + 2)**3/5
Find n, given that -6*n**3 + 443*n**2 - 440*n**2 + n + 3*n**4 - n = 0.
0, 1
Factor 72*w**2 + 268*w**2 + 224*w**2 - 132*w**2 - 928*w - 56*w**3 + 640 - 4*w**4.
-4*(w - 2)**3*(w + 20)
Suppose -3*h + 9 = 2*f, 3*h + 3*f + f = 9. Let m be 4042/1034 + (9/3)/33. Factor 0*w + 0 + 9/2*w**h - 3/2*w**2 - 3*w**m.
-3*w**2*(w - 1)*(2*w - 1)/2
Let w(b) = -b**2 + 26*b - 25. Let q be w(25). Let h(s) be the first derivative of -3/5*s**5 + q*s**4 + 0*s + 0*s**2 - 1 + s**3. Factor h(u).
-3*u**2*(u - 1)*(u + 1)
Factor 2*b**2 - b**2 + 4*b**3 - b - 3*b**3 - 1 + 0*b**3.
(b - 1)*(b + 1)**2
Let w = 347769/26 + -13372. Let h = -42/13 + w. Factor 1/2*f + 0 + h*f**2.
f*(f + 1)/2
Let n be (-9)/2*(-208)/312. Factor -u**2 + 0 + 1/2*u + 1/2*u**n.
u*(u - 1)**2/2
Let q = 641/340 - 54/85. Find c, given that 5/4*c**5 + 25/2*c**3 - 25/4*c**4 - 25/2*c**2 + 25/4*c - q = 0.
1
Let i(x) = 330*x**3 + 400*x**2 + 92*x. Let o(s) = -66*s**3 - 80*s**2 - 18*s. Let g(z) = 6*i(z) + 28*o(z). What is r in g(r) = 0?
-2/3, -6/11, 0
Let y(u) be the first derivative of u**6/9 - 8*u**5/15 - 37*u**4/6 - 136*u**3/9 - 12*u**2 + 279. Find p such that y(p) = 0.
-2, -1, 0, 9
Suppose -16/3*b + 14/3*b**2 + 4/3*b**3 - 2/3*b**4 - 8 = 0. What is b?
-2, -1, 2, 3
Suppose 3*z = -2 + 8. Let v be ((-3)/z)/((-9)/12). Solve -4 + 0*a + 2*a**2 + 0*a**2 + v*a = 0 for a.
-2, 1
Suppose -3*l + 4*l - 2*l = 0. Factor l - f**2 + 4*f**2 - 2 - 1.
3*(f - 1)*(f + 1)
Let f(t) be the second derivative of -t**6/15 + 9*t**5/10 - 4*t**4/3 - 2*t + 33. Factor f(r).
-2*r**2*(r - 8)*(r - 1)
Let f be -46*(-5)/325 + (-1 - (-9)/15). Factor -f*z**2 + 2/13*z**4 + 0*z + 0 + 2/13*z**3.
2*z**2*(z - 1)*(z + 2)/13
Let q(a) = -a**2 - 25*a - 55. Let f be q(-22). Factor -11 + 14*t**4 + f*t**3 - t**4 + 11 - 2*t**2.
t**2*(t + 1)*(13*t - 2)
Find s such that -2000/17 - 482/17*s**3 - 2/17*s**5 + 200*s - 56/17*s**4 - 860/17*s**2 = 0.
-10, 1
Suppose 4*u - 8 = -0. Suppose u = -h + 11. Factor 0 + 3*i**4 + 3*i**2 + 0*i**4 + 0*i**2 - 9*i + h*i**3 - 6.
3*(i - 1)*(i + 1)**2*(i + 2)
Let f(b) be the second derivative of 1/168*b**7 + 0*b**2 - 1/24*b**3 + 1/60*b**6 + 0 - 1/24*b**4 + 42*b + 0*b**5. Suppose f(p) = 0. Calculate p.
-1, 0, 1
Let y = 220837/7 - 31541. Factor y*g**2 - 4/7 - 46/7*g.
2*(g - 1)*(25*g + 2)/7
Suppose -12*c**2 - 40*c + 29*c**2 - 12*c**2 = 0. Calculate c.
0, 8
Let w(s) = -44*s**2 - 90*s - 72. Let y be 9 + -7 + (-16)/(-4). Let v(x) = 5*x**2 + 10*x + 8. Let g(p) = y*w(p) + 52*v(p). Solve g(c) = 0 for c.
-4, -1
Factor -98/3*p**2 - 2/3*p**3 - 416*p - 384.
-2*(p + 1)*(p + 24)**2/3
Factor 7/3*s + 1/3*s**2 + 2.
(s + 1)*(s + 6)/3
Let j = 54 + -51. Solve 2/9*g**2 - 2/3*g - 4/9 + 2/9*g**4 + 2/3*g**j = 0 for g.
-2, -1, 1
Let t(s) be the first derivative of s**5/5 - 4*s**4/3 + 10*s**3/3 - 4*s**2 - 10*s - 13. Let g(j) be the first derivative of t(j). Factor g(m).
4*(m - 2)*(m - 1)**2
Let l(a) = -a. Let j be l(-2). Let 0 + 4 - 2 + p**j - 3*p = 0. What is p?
1, 2
Let w(y) = -3*y**4 - 11*y**3 + 16*y**2 - 14*y + 12. Let t(f) = -f**3 + 1. Let p(i) = 18*t(i) - 2*w(i). What is z in p(z) = 0?
-3, 1/3, 1
Let m(b) be the third derivative of 0 - 1/2*b**4 + 5/32*b**6 + 0*b - 1/16*b**5 - 14*b**2 - 1/2*b**3. Factor m(k).
3*(k - 1)*(5*k + 2)**2/4
Suppose r = -1 + 4. Let u(s) be the third derivative of 1/945*s**7 + 0*s**4 + 0*s**r + 4*s**2 + 0*s + 0 + 1/270*s**5 - 1/270*s**6. Let u(f) = 0. What is f?
0, 1
Suppose -4800 + 80*n - 1/3*n**2 = 0. Calculate n.
120
Suppose -u = -x + 14 - 4, 0 = -5*x - u + 20. Let c(q) be the third derivative of -1/30*q**x + 0*q + 0*q**4 + 0 - q**2 + 4/3*q**3. Find m, given that c(m) = 0.
-2, 2
Suppose 10*w = 43 + 7. Factor -2*t + 2*t**5 - 3*t**w + 3*t**3 - t**4 + 2*t**5 - 2*t**5 + t**2.
-t*(t - 1)**2*(t + 1)*(t + 2)
Let t(p) = 21*p**3 + 15*p**2 - 15*p - 3. Let v(n) = 20*n**3 + 16*n**2 - 15*n - 4. Suppose -6*g + 13 + 23 = 0. Let x(r) = g*v(r) - 7*t(r). Factor x(d).
-3*(d + 1)*(3*d - 1)**2
Let d(x) be the second derivative of 3*x**5/20 - x**4/2 - 7*x**3/2 - 6*x**2 + 5*x + 8. Factor d(j).
3*(j - 4)*(j + 1)**2
Factor -167*a**2 - 643*a - 2525*a - 2*a**3 - 5496*a - 109744 - 61*a**2.
-2*(a + 38)**3
Let o be 1*((-5 - (-6 - -10)) + 9). Find i, given that o*i + 0 + 9/7*i**4 - i**5 + 0*i**2 - 2/7*i**3 = 0.
0, 2/7, 1
Let -10/7*h**2 + 18/7 - 6/7*h - 2/7*h**3 = 0. What is h?
-3, 1
Let b(q) = -4*q**4 - 25*q**3 - 6*q**2 + 15*q. Let w(s) = -6*s**4 - 38*s**3 - 10*s**2 + 22*s. Let l(h) = -8*b(h) + 5*w(h). Factor l(r).
2*r*(r - 1)*(r + 1)*(r + 5)
Let j(i) be the third derivative of i**7/210 + i**6/96 + i**5/240 + 9*i**2 - 5*i. Factor j(m).
m**2*(m + 1)*(4*m + 1)/4
Suppose 0 = -5*d - 0*d + 90. Suppose 2*z - d = -9*y + 4*y, -2*y + 2*z + 10 = 0. Factor 0*k + 0 - 18/13*k**5 + 0*k**2 + 2/13*k**3 + 0*k**y.
-2*k**3*(3*k - 1)*(3*k + 1)/13
Factor -8*l**2 - 1160*l**4 - 6*l**3 + 1164*l**4 + 8*l**2 + 2*l**5.
2*l**3*(l - 1)*(l + 3)
Let -7/10*m**3 + 8/5*m**2 + 26/5*m - 8/5 = 0. Calculate m.
-2, 2/7, 4
Let q be ((-7 - -7)/(-13))/(-1*3). Let p(l) be the first derivative of -2/95*l**5 - 5/38*l**4 - 10 - 4/19*l**2 + q*l - 16/57*l**3. Factor p(i).
-2*i*(i + 1)*(i + 2)**2/19
Let r be 16/9 - (-2)/9. Let g be (r - 3)*(1 + 0). Let p(k) = -2*k. Let a(m) = m**2 + m + 1. Let b(o) = g*p(o) + 2*a(o). What is n in b(n) = 0?
-1
Let t be ((-16)/10)/(10/(-25)). Suppose -t - 4 = -2*y. Let -2*l**4 + 4*l**3 + y*l**3 - 2*l**4 - 4*l**5 = 0. Calculate l.
-2, 0, 1
Suppose 70*c - 22*c = 4*c - 37*c. Suppose 1/3*f**3 + 2/3*f + c - f**2 = 0. What is f?
0, 1, 2
Let l = -50/69 - -32/23. Let f(a) be the second derivative of 0 - 10*a + 5/9*a**3 - 1/6*a**4 - l*a**2. Factor f(d).
-2*(d - 1)*(3*d - 2)/3
Suppose 3 = f - 2*f - 5*h, -2*f + 5*h = -9. Suppose 0*l**4 + 2*l**4 - 4*l**3 + f*l**3 + 0*l**3 = 0. Calculate l.
0, 1
Let g(w) be the second derivative of 2/5*w**5 + 0 + 9*w - 4/3*w**4 - w**2 + 5/3*w**3. Factor g(j).
2*(j - 1)*(2*j - 1)**2
Let c be 3 + (-4)/4 - 1. Suppose 10 - c = u. Let t(x) = 2*x**2 + 4*x - 4. Let a(h) = -4*h**2 - 9*h + 7. Let s(g) = u*t(g) + 4*a(g). What is n in s(n) = 0?
-2, 2
Suppose -14*n = -16*n - 2*u + 2, 3*n + u = 1. Factor n - 2/5*p**3 + 2/5*p + 1/5*p*