r + 28*r + 4*r - 4*r**2 + 5 - 37.
-4*(r - 4)*(r - 2)
Let b(a) be the first derivative of a**6/3 + 16*a**5/5 - 24*a**4 - 512*a**3/3 + 1024*a**2 + 351. Suppose b(f) = 0. What is f?
-8, 0, 4
Let z(w) be the third derivative of -9*w**6/40 + w**5/10 + 9*w**4/2 - 4*w**3 - 2*w**2 - 24. Let z(p) = 0. What is p?
-2, 2/9, 2
Let p(o) be the second derivative of 7*o**5/4 - 85*o**4/3 + 215*o**3/6 + 45*o**2 - 28*o + 1. Factor p(d).
5*(d - 9)*(d - 1)*(7*d + 2)
Find a such that -2/5 + 7/5*a + a**3 - 1/5*a**4 - 9/5*a**2 = 0.
1, 2
Factor -14/3 + 1/3*h**2 - 13/3*h.
(h - 14)*(h + 1)/3
Let b = -40260/7 - -5752. Factor -192/7*a + 256/7 + 48/7*a**2 - b*a**3.
-4*(a - 4)**3/7
Let f be (-61)/(-6) - (-13)/(-78). What is n in 0*n**2 - 8*n - f*n - 33 + 6 - 3*n**2 = 0?
-3
Let n(h) be the third derivative of -h**7/840 - 7*h**6/120 - 49*h**5/40 + 19*h**4/24 + 17*h**2. Let t(z) be the second derivative of n(z). Factor t(l).
-3*(l + 7)**2
Factor -66/7*z - 2/7*z**2 + 68/7.
-2*(z - 1)*(z + 34)/7
Let i(r) be the first derivative of -1/24*r**3 + 1/48*r**4 + 0*r**2 + 3 - r. Let b(t) be the first derivative of i(t). Suppose b(n) = 0. Calculate n.
0, 1
Let i(t) = t**3 + 6. Let v be i(0). Let s be v/(-10) - 93/(-105)*1. Factor 0*w + 0 - 2/7*w**4 - s*w**2 + 4/7*w**3.
-2*w**2*(w - 1)**2/7
Let a = -11885 - -11888. Factor g + 0 - 1/2*g**4 - g**a + 1/2*g**2.
-g*(g - 1)*(g + 1)*(g + 2)/2
Let u be (0 - -15)/(5 - (-6 + 8)). Let v(n) be the third derivative of -1/12*n**4 + u*n**2 - 1/30*n**5 + 1/105*n**7 + 0*n**3 + 1/60*n**6 + 0 + 0*n. Factor v(t).
2*t*(t - 1)*(t + 1)**2
Let u(x) be the first derivative of 3*x + 0*x**2 + 0*x**3 - 1/40*x**5 + 0*x**4 - 2 - 1/60*x**6. Let a(q) be the first derivative of u(q). Factor a(o).
-o**3*(o + 1)/2
Find g, given that -336*g + 18*g**2 - 17*g**2 + 91*g - 71*g**2 - 2*g**3 - 3*g**3 = 0.
-7, 0
Let r be (-3 - -2)*0*2/(-6). Let w(u) be the second derivative of 9*u - 1/7*u**3 - 1/42*u**4 + r + 0*u**2. Factor w(m).
-2*m*(m + 3)/7
Suppose 77*p = -100*p - 28*p + 410. Suppose 4 = -o - 3*j, 4*o - 5*j + 3 = 38. Factor 8/9*i**4 - 2/9*i - 4/3*i**3 + 8/9*i**p - 2/9*i**o + 0.
-2*i*(i - 1)**4/9
Let b(h) = -6*h**3 + 2*h**2 - 2*h + 1. Let z be b(1). Let a be 2/2 + -4 - z. Factor -7 + 1 + 0*o**3 - 3*o**a + 5 - 3*o - o**3.
-(o + 1)**3
Let m(r) be the third derivative of r**8/588 - 8*r**7/735 - 8*r**6/105 + 64*r**5/105 + 52*r**2 - 2. Factor m(h).
4*h**2*(h - 4)**2*(h + 4)/7
Suppose 5*a = -5*y - 1190, 0 = -a + 2*y + 3*y - 268. Let h be 9*(-18)/a + (-2)/12. Find f such that 0*f - 1/3*f**2 - h*f**3 + 0 - 1/6*f**4 = 0.
-2, -1, 0
Let u(m) be the second derivative of -m**4/36 - 8*m**3/9 + 17*m**2/6 - 96*m. Factor u(p).
-(p - 1)*(p + 17)/3
Let w(r) = 2*r**2 - 8*r + 4. Let u be w(6). Let f = -24 + u. Let f*b - 12*b - 24*b**3 - 16*b**4 - 9*b**2 + 7*b = 0. What is b?
-1, -1/4, 0
Factor 2/15*z**2 - 4/5 + 2/3*z.
2*(z - 1)*(z + 6)/15
Let j(m) = -m. Let w(r) = 2*r**3 - 6*r**2 + 10*r. Let k(v) = -12*j(v) - 2*w(v). Factor k(n).
-4*n*(n - 2)*(n - 1)
Let w(a) = 2*a**2 + 12*a + 2. Let h be w(-6). Let c(j) be the first derivative of 2/5*j + 2/5*j**h - 5 - 2/5*j**3. Suppose c(o) = 0. What is o?
-1/3, 1
Let s be ((-9)/6)/((-13)/((-780)/(-30))). Factor -16/7*w**2 - 6*w - 36/7 - 2/7*w**s.
-2*(w + 2)*(w + 3)**2/7
Let q(p) = p**2 + p + 8. Let v(z) = -7*z**2 - 37*z - 78. Let u(f) = -30*q(f) - 5*v(f). Factor u(l).
5*(l + 1)*(l + 30)
Let l(h) be the third derivative of h**5/60 - 95*h**4/12 + 9025*h**3/6 + 14*h**2. Suppose l(o) = 0. Calculate o.
95
Let x = 387157/15 + -25839. Let m = 88/3 + x. Solve m + 14/5*w - 18/5*w**2 = 0 for w.
-2/9, 1
Let k(p) be the first derivative of -14*p**5/85 + 13*p**4/34 + 6*p**3/17 - 13*p**2/17 - 4*p/17 - 44. What is s in k(s) = 0?
-1, -1/7, 1, 2
Let y(t) be the third derivative of -t**6/90 + 3*t**5/10 - 4*t**4/3 - 11*t**3/6 - 7*t**2. Let k(q) be the first derivative of y(q). Factor k(z).
-4*(z - 8)*(z - 1)
Let y be (1 + 0)*(1 - -4). Factor 6*w**2 - y - 6*w**3 + 0*w + 2 + 0*w + 3*w + 3*w**5 - 3*w**4.
3*(w - 1)**3*(w + 1)**2
Let l(j) be the third derivative of 3*j**7/490 - j**6/20 + 11*j**5/140 + 2*j**4/7 - 6*j**3/7 - 99*j**2. Determine d so that l(d) = 0.
-1, 2/3, 2, 3
Let s(r) be the first derivative of -r**4/16 + 5*r**3/4 + 17*r**2/4 - 202. Factor s(l).
-l*(l - 17)*(l + 2)/4
Let f(t) be the third derivative of 2*t**7/105 + 43*t**6/30 + 161*t**5/5 + 147*t**4/2 + 144*t**2. Factor f(b).
4*b*(b + 1)*(b + 21)**2
Let f be -1 + (-99)/(-15) - (-14)/35. Suppose -f*n**3 + 48 + 6*n**3 + 16*n**4 + 8*n**3 - 132*n**2 + 160*n - 20*n**3 = 0. What is n?
-3, -1/4, 2
Let p(l) be the first derivative of 7*l**5/20 + 9*l**4/16 + l**3/6 - 306. Let p(a) = 0. Calculate a.
-1, -2/7, 0
Solve -87/2*l**2 + 183/4*l + 177/2 - 3/4*l**3 = 0.
-59, -1, 2
Let r(v) be the first derivative of 1/4*v**4 + 36 - 6*v + 2/3*v**3 - 5/2*v**2. Factor r(c).
(c - 2)*(c + 1)*(c + 3)
Suppose 3*q = -w + 4, -2*q - 209*w + 214*w = -14. Factor -10*h**3 + 16/5 + 28*h**q - 88/5*h.
-2*(h - 2)*(5*h - 2)**2/5
Let a(m) be the first derivative of m**2 + 4/3*m - 1/6*m**4 - 33 + 0*m**3. Factor a(t).
-2*(t - 2)*(t + 1)**2/3
Let j(n) be the third derivative of 3*n**2 + 0*n + 0 - 3/44*n**4 - 1/110*n**5 + 1/660*n**6 - 5/33*n**3. Factor j(k).
2*(k - 5)*(k + 1)**2/11
Let x(o) be the first derivative of 5*o**3/3 + 20*o**2 - 100*o + 279. Determine w, given that x(w) = 0.
-10, 2
Let b(t) be the third derivative of 0 + 1/360*t**5 + 19*t**2 + 0*t**3 + 0*t + 0*t**4. Factor b(a).
a**2/6
Let i = 1906 - 13380/7. Let t = i + 6. Factor 0*d**2 + 4/7*d**3 - t*d + 0.
4*d*(d - 1)*(d + 1)/7
Suppose 60*s**3 - 3267 + 47*s**3 - 6667*s - 2874*s**2 - 3*s**4 + 98*s**3 + 331*s - 13*s**3 = 0. What is s?
-1, 33
Let a(f) be the second derivative of -f**7/280 - f**6/90 + f**5/24 + f**4/12 + 5*f**3/6 - 6*f. Let j(l) be the second derivative of a(l). Factor j(s).
-(s - 1)*(s + 2)*(3*s + 1)
Let g(h) be the second derivative of 1/14*h**4 + 3/140*h**5 + 0*h**3 + 3*h + 0*h**2 + 0. What is u in g(u) = 0?
-2, 0
Let f(l) be the third derivative of 3*l**8/448 + 17*l**7/280 + 3*l**6/16 + 9*l**5/40 - l**4/32 - 3*l**3/8 - 218*l**2. Let f(d) = 0. What is d?
-3, -1, 1/3
Suppose 0 = -335*p + 353*p - 162. Let n(k) be the first derivative of 1/30*k**3 + 0*k + p - 3/20*k**2. Suppose n(r) = 0. What is r?
0, 3
Let u(b) be the second derivative of b**4/12 + b**3/6 - b**2/2 - 8*b. Let t(q) = -20*q**2 - 18*q + 20. Let s(z) = 2*t(z) + 36*u(z). Suppose s(x) = 0. What is x?
-1, 1
Let l be ((-1)/2)/((-18)/72). Find k, given that -6 - 271*k - 14 + 291*k - 5*k**l = 0.
2
Let p = -205119/7 - -29305. Determine k so that 2/7*k**2 + p*k + 32/7 = 0.
-4
Solve 13*a**2 - 49/4*a**5 + a**3 + 0*a - 637/4*a**4 + 0 = 0 for a.
-13, -2/7, 0, 2/7
Let i(q) = 9*q**3 + 15*q**2 + 67*q + 81. Let g(f) = -2*f**3 + f - 1. Let n(m) = 5*g(m) + i(m). Factor n(b).
-(b - 19)*(b + 2)**2
Let q(j) be the second derivative of -j**6/120 - j**5/40 + 13*j**4/48 - 5*j**3/12 - 49*j. Factor q(w).
-w*(w - 2)*(w - 1)*(w + 5)/4
Let s(o) be the first derivative of -2*o**3/9 - 2*o**2 - 16*o/3 + 141. Let s(u) = 0. What is u?
-4, -2
Let z(l) be the third derivative of -l**7/630 + 7*l**6/360 + l**5/60 - 19*l**4/72 - 7*l**3/9 + 90*l**2. Suppose z(c) = 0. What is c?
-1, 2, 7
Let f(a) = 2*a**4 + a**3 + a**2 - 1. Let w(l) = -5*l**5 - 16*l**4 + 37*l**3 + 172*l**2 + 120*l - 2. Let i(j) = -2*f(j) + w(j). Find q such that i(q) = 0.
-4, -2, -1, 0, 3
Let m(z) be the second derivative of z**7/14 + z**6/5 - 3*z**5/20 - z**4/2 - 5*z - 12. Suppose m(d) = 0. What is d?
-2, -1, 0, 1
Suppose 0 = -5*g, -8*g = 2*w - 12*g - 30. Factor 13*z + 2*z + 0 + 6*z + 9 + w*z**2 + 3*z**3.
3*(z + 1)**2*(z + 3)
Let h(y) = -6*y**2 - 29*y + 8. Let t be h(-8). Let s be (-6)/(t/20)*4. Factor -8/3*i - 2 + 4/3*i**3 + s*i**2.
2*(i - 1)*(i + 3)*(2*i + 1)/3
Let n(a) = 2*a - 3. Suppose 2 - 12 = -2*d. Let v be n(d). Suppose -b**3 + 13*b - 2 - 4*b**2 - 25*b + v*b = 0. Calculate b.
-2, -1
Let c(p) = -8 - 8*p**2 + 2 - 10*p**2 + 0*p**3 - 4*p**3. Let d(v) = -7*v**3 - 35*v**2 - 11. Let i(j) = -11*c(j) + 6*d(j). Factor i(b).
2*b**2*(b - 6)
Let z be (-2)/4*3/(-6). Suppose 27*h - 25*h = 8. Factor -1/2*f**3 - 1/4 + 0*f**2 + 1/2*f + z*f**h.
(f - 1)**3*(f + 1)/4
Suppose -5*y + 192*a + 25 = 191*a, 5*a - 25 = -5*y. Solve 0 + 2/11*d**y + 0*d**4 - 16/11*d**2 - 6/11*d - 12/11*d**3 = 0 for d.
-1, 0, 3
Let