 + 1)*(x + 2)/9
Let b(r) be the third derivative of r**6/180 + 88*r**5/15 + 7744*r**4/3 + 5451776*r**3/9 - 10*r**2 - 1. Factor b(p).
2*(p + 176)**3/3
Let x = 8 + -5. Solve -105*y + 2*y**2 - 2*y**x + 58*y + 51*y = 0.
-1, 0, 2
Let h = 6 + -4. Let t be (522/(-189) - -2)*-6. Solve -t*o**2 - 8/7*o + h*o**4 + 0 - 10/7*o**3 = 0 for o.
-1, -2/7, 0, 2
Let l(g) be the third derivative of -2*g**7/105 + 7*g**6/15 + 17*g**5/15 - 5*g**4 + 459*g**2. Find h, given that l(h) = 0.
-2, 0, 1, 15
Let i be 12/9 - 8/(-3). Determine k, given that 426*k**3 - 6*k**2 - 426*k**3 + 3*k**5 - 3*k + 6*k**i = 0.
-1, 0, 1
Determine a, given that 1/2*a**2 + 5*a + 12 = 0.
-6, -4
Suppose -4*a = 5*j - 2, a + a = -j - 2. Factor 10 - 6*v - 3*v**j - 3 + 2.
-3*(v - 1)*(v + 3)
Let y(r) be the first derivative of -9*r + 1/28*r**4 - 3/14*r**2 + 0*r**3 - 8. Let m(l) be the first derivative of y(l). Factor m(v).
3*(v - 1)*(v + 1)/7
Let k(c) be the third derivative of -4/45*c**6 + 0*c**3 - 1/18*c**4 + 0 + 3*c**2 - 11/90*c**5 - 1/45*c**7 + 0*c. Let k(q) = 0. Calculate q.
-1, -2/7, 0
Let s = 3706 - 3703. Factor 8/3*p**2 + 0 + 4/3*p**4 - 4*p**s + 0*p.
4*p**2*(p - 2)*(p - 1)/3
Let p = 17/3 - 1187/210. Let c(j) be the second derivative of -p*j**5 - 4/105*j**6 + 0*j**2 + 1/49*j**7 + 0*j**3 + 1/21*j**4 + 3*j + 0. Factor c(t).
2*t**2*(t - 1)**2*(3*t + 2)/7
Let s(j) = j - 13. Let l = -70 - -85. Let i be s(l). Factor -4/7 - 2/7*q + 2/7*q**i.
2*(q - 2)*(q + 1)/7
Let c be 1/4*0 + (-6)/(-1). Suppose 5*j = c + 14. Factor -1/4*q**3 + 0*q**2 + 0 + 0*q - 1/4*q**j.
-q**3*(q + 1)/4
Let t be (18/(-40))/(16/(-80)). Suppose 0 - t*g - 3/4*g**3 - 3*g**2 = 0. Calculate g.
-3, -1, 0
Let v(z) be the third derivative of 0*z + 0*z**3 - z**2 + 1/120*z**6 - 1/12*z**4 + 0 - 1/60*z**5. Factor v(o).
o*(o - 2)*(o + 1)
Let g(y) be the first derivative of 2*y**3/9 + 29*y**2/3 - 20*y + 39. Let g(h) = 0. What is h?
-30, 1
Let h be (94/(-20))/((-78)/52) + -3. Let f(r) be the third derivative of -7*r**2 + 0 - h*r**4 - 1/150*r**5 + 0*r - 16/15*r**3. What is q in f(q) = 0?
-4
Let v(i) = -4*i**2 - 44*i - 6. Let n(k) = 3*k**2 + 46*k + 5. Let q(u) = -6*n(u) - 5*v(u). Factor q(l).
2*l*(l - 28)
Suppose -68 = -4*q + 40. Let s(g) = 48*g**4 + 48*g**3 - 48*g**2 - 48*g. Let k(n) = 7*n**4 + 7*n**3 - 7*n**2 - 7*n. Let w(h) = q*k(h) - 4*s(h). Factor w(v).
-3*v*(v - 1)*(v + 1)**2
Let b(w) = -w**3 - 44*w**2 + 225*w - 207. Let x(v) = 44*v**2 - 224*v + 198. Let g(s) = -2*b(s) - 3*x(s). Find m such that g(m) = 0.
1, 6, 15
Factor -676 - 390*z - 27*z**2 - 1/2*z**3.
-(z + 2)*(z + 26)**2/2
Factor -9*m**4 + 0 + 0*m + 0*m**2 + 17/2*m**3 + 1/2*m**5.
m**3*(m - 17)*(m - 1)/2
Let s = 1/340 - -163/2380. Let g(t) be the first derivative of 3 + 3/14*t**2 + s*t**6 - 2/7*t**3 - 3/14*t**4 + 3/35*t**5 + 3/7*t. Suppose g(w) = 0. What is w?
-1, 1
Let w(k) = -15*k**2 + 24*k - 18. Let i(j) = 8*j**2 - 12*j + 9. Suppose -u - 1 = -3*s, -5*u + 3*s + 23 = 2*s. Let x(a) = u*w(a) + 9*i(a). Factor x(b).
-3*(b - 3)*(b - 1)
Let r(m) be the second derivative of m**6/180 + 7*m**5/20 + 26*m**4/3 + 1859*m**3/18 + 2197*m**2/4 - 13*m + 3. Solve r(v) = 0 for v.
-13, -3
Let t(w) = -w**3 - w. Let l be t(-1). Suppose 0 = -27*x + 26*x + 6. Factor 2*s**3 + 12*s**l - x*s**2 + 2*s + 2*s.
2*s*(s + 1)*(s + 2)
Let g(t) = 8*t + 42. Let x(o) = 5*o**3 - 2*o**2 + o + 3. Let a be x(-1). Let r be g(a). Factor -6/5*d**3 + 2*d**r - 2/5*d**4 + 2/5*d**5 - 4/5*d + 0.
2*d*(d - 1)**3*(d + 2)/5
Let t(z) be the second derivative of -4*z**7/357 + z**6/255 + 14*z**5/85 - 31*z**4/102 + 2*z**3/17 + 372*z. What is i in t(i) = 0?
-3, 0, 1/4, 1, 2
Let g(p) be the first derivative of 2*p**3/45 - 3*p**2/5 + 28*p/15 - 124. Suppose g(x) = 0. What is x?
2, 7
Let x be (-4)/(-20) - 418/165 - -3. Find y such that 1/3*y**3 - 1/6*y + 1/3 + 1/3*y**4 - x*y**2 - 1/6*y**5 = 0.
-1, 1, 2
Let s(r) = -237*r + 7823. Let v be s(33). Factor 4/7*p**v + 0*p - 10/7*p**3 + 0.
-2*p**2*(5*p - 2)/7
Let z(k) be the second derivative of 3*k**2 + 1/10*k**3 + 0 + 3/100*k**5 - 1/200*k**6 + 4*k - 3/40*k**4. Let v(x) be the first derivative of z(x). Factor v(r).
-3*(r - 1)**3/5
Solve 4*g - 5*g**2 + 9*g + 4*g**2 - g**3 - 11*g**2 = 0 for g.
-13, 0, 1
Let n(j) be the third derivative of -3*j**7/14 - 32*j**6/5 - j**5/4 + 26*j**4 + 34*j**3 - 72*j**2 + 2. Suppose n(p) = 0. Calculate p.
-17, -2/3, -2/5, 1
Let c(j) be the third derivative of j**7/42 + 5*j**6/24 + j**5/3 + 5*j**2 - 9*j. Factor c(l).
5*l**2*(l + 1)*(l + 4)
Let l(b) = -b - 14. Let o be l(-16). Factor 41*u**5 - 19*u**5 - 23*u**5 + 3*u**3 + o*u**2.
-u**2*(u - 2)*(u + 1)**2
Let o(s) be the third derivative of -s**6/60 + 3*s**5/5 - 27*s**4/4 + 11*s**2. Factor o(g).
-2*g*(g - 9)**2
Let f be (11/(-4))/((-14)/(-112)). Let h = -20 - f. Factor -h*j**4 - 33*j**3 + 21*j**3 + 2*j**2 + 14*j**3 - 2*j**5.
-2*j**2*(j - 1)*(j + 1)**2
Let f(z) = -22*z**2 + 4*z**3 + 14*z**4 - 48*z - 6*z**2 + 4*z**3 + 14*z**4. Let a(l) = -4*l**4 - l**3 + 4*l**2 + 7*l. Let k(y) = -20*a(y) - 3*f(y). Factor k(n).
-4*n*(n - 1)*(n + 1)**2
Let y be (110/198*-9)/((-75)/6). Determine r so that -2/5*r**2 - 2/15 - y*r - 2/15*r**3 = 0.
-1
Let h(d) be the second derivative of -2/5*d**5 + 9/2*d**2 + 13/4*d**3 + 1/3*d**4 + 2*d + 10. Factor h(s).
-(s - 2)*(4*s + 3)**2/2
Let q be ((-20)/30)/(4/30). Let k(w) = w**3 + 6*w**2 + 3*w + 3. Let t be k(q). Factor -b**4 + 2*b**3 + b**3 + 10*b**2 + 0*b**3 - t*b**2 + b.
-b*(b - 1)**3
Factor -13/7*k - 4/7*k**2 - 3/7.
-(k + 3)*(4*k + 1)/7
Let w = 351/245 - 191/147. Solve w*r**3 - 4/3*r - 16/15 - 2/15*r**2 = 0 for r.
-2, -1, 4
Let w be (3 - 1)*(0 + 1) - -3. Suppose w*m + q - 19 = -5, -5*m + 5*q = 10. Factor 1/3*c**3 + 0 - 1/3*c**m + 0*c.
c**2*(c - 1)/3
Factor 17/5*a**5 + 0*a - 2/5*a**3 - 3*a**4 + 0*a**2 + 0.
a**3*(a - 1)*(17*a + 2)/5
Suppose -76 = -5*r + s, s + 9 = r - 3. Solve r - 28*m**2 - 12*m**2 + 52*m**2 - 52*m = 0.
1/3, 4
Let z(n) be the first derivative of -n**6/2 + 6*n**5/5 + 3*n**4 - 8*n**3 - 856. Determine u, given that z(u) = 0.
-2, 0, 2
Let q(s) be the first derivative of s**8/588 + 4*s**7/735 + s**6/210 + 9*s**2/2 + 10. Let u(x) be the second derivative of q(x). Solve u(d) = 0 for d.
-1, 0
Let z(m) be the third derivative of 3*m**5/5 + m**4/4 + 10*m**2. Let d(u) = -5*u**2 - u. Let p(c) = 44*d(c) + 6*z(c). Factor p(w).
-4*w*(w + 2)
Let h = 13 - 7. What is o in 0*o**2 - 3*o + 3*o**2 + h - 3*o - 3*o = 0?
1, 2
Suppose -2*g + 3*n + 1 = 0, 2*n = -g - 7 + 18. Let f(a) = 8*a**2 + 7*a - 5. Let b(q) = 9*q**2 + 8*q - 6. Let z(j) = g*f(j) - 4*b(j). Factor z(w).
(w + 1)*(4*w - 1)
Suppose 2/5*t**2 + 127008/5 - 1008/5*t = 0. What is t?
252
Let u(x) be the second derivative of 0*x**3 - 1/20*x**4 + 3/100*x**5 - 10*x + 0*x**2 + 0. Suppose u(q) = 0. Calculate q.
0, 1
Let w be (1/6)/(-2 - -16). Let o(m) be the third derivative of w*m**4 + 0*m + 0*m**3 - 2/105*m**5 + 1/140*m**6 + 3*m**2 + 0. Solve o(x) = 0.
0, 1/3, 1
Let o be (4 + -10 + -1)*-1. Suppose 0 = -3*z + 6*z - 33. Determine q so that o*q + 8*q + 2 - z - 6*q**2 = 0.
1, 3/2
Let h(s) = s**2 - s + 2. Let j(l) = -l**2 - 29*l - 44. Let o(u) = 4*h(u) + j(u). Factor o(q).
3*(q - 12)*(q + 1)
Let m(s) be the third derivative of -s**7/126 + 7*s**6/24 + 8*s**2 + s. Factor m(d).
-5*d**3*(d - 21)/3
Let n(p) be the second derivative of -p**7/168 + p**6/120 + 3*p**5/80 - p**4/48 - p**3/12 + 380*p. Let n(i) = 0. What is i?
-1, 0, 1, 2
Let w(b) be the first derivative of -b**7/140 + b**6/360 + b**5/20 - b**4/24 + 43*b**3/3 - 44. Let d(m) be the third derivative of w(m). Factor d(r).
-(r - 1)*(r + 1)*(6*r - 1)
Let u = -213 + 213. Let v(s) be the first derivative of 0*s**3 + 0*s**2 + 4 + 2/15*s**5 + u*s + 1/2*s**4. Determine r, given that v(r) = 0.
-3, 0
Let q(n) be the third derivative of 2/3*n**3 + 2*n**2 - 13/72*n**4 + 0*n + 1/180*n**5 + 0. Suppose q(a) = 0. Calculate a.
1, 12
Suppose -1221*p - 76 = -1259*p. What is i in 3/8*i + 0 - 3/8*i**p = 0?
0, 1
Let t = 21 - 37. Let q be (t/(-24))/((-2)/(-9)). Factor 67 - 67 + 3*a**q + 2*a**2 + a**4.
a**2*(a + 1)*(a + 2)
Let w(g) be the second derivative of 0*g**2 - 3/20*g**5 + 0 - 25/2*g**3 - 27*g - 5/2*g**4. Determine z so that w(z) = 0.
-5, 0
Let d(p) = -53*p + 1170. Let b be d(22). Suppose -16/3*r**2 + b*r + 4/3 = 0. What is r?
-1/4, 1
Let j be (((-3)/(-18))/((-31)/(-93)))/(0 - -4). Factor -3/8*u**3 + 0 + 0*u + 1/4*u**2 + j*u**4.
