
2*(d - 2)**2/13
Let j(h) be the third derivative of -h**6/720 - h**5/72 + 466*h**2 - 2. Find b such that j(b) = 0.
-5, 0
Determine q, given that 6*q**5 + 33*q**3 - 13*q**5 + 14*q**2 + 21*q**3 + 48*q**4 - q**5 = 0.
-1/2, 0, 7
Let r(f) be the second derivative of -9/40*f**5 - 1/56*f**7 - 1/4*f**4 - 1/10*f**6 - 1/8*f**3 + 0*f**2 + 0 + 25*f. Solve r(d) = 0.
-1, 0
Find c, given that -308/9*c**3 + 1868/9*c**2 + 256/3 - 3520/9*c + 16/9*c**4 = 0.
1/4, 3, 8
Suppose -i + 5 = p, -5*i - 23 = -3*p - 10*i. Factor 37*l - 1 - 4 - p - 3*l**4 + 15*l**3 - 27*l**2 - 16*l.
-3*(l - 2)*(l - 1)**3
Let m(j) be the first derivative of 4/3*j**3 + 14 + 2*j**2 - 24*j. What is z in m(z) = 0?
-3, 2
Let t(w) be the first derivative of 0*w + 4*w**2 + 1/140*w**5 - 2/7*w**3 + 6 + 0*w**4. Let x(l) be the second derivative of t(l). Factor x(r).
3*(r - 2)*(r + 2)/7
Let u(a) be the first derivative of a**5/240 + a**4/96 + 4*a**2 + 1. Let m(r) be the second derivative of u(r). Solve m(n) = 0.
-1, 0
Let z be (12090/(-770) - -17) + (-4)/21*3. Let 0*v + 10/11*v**3 - z*v**4 + 0 - 4/11*v**2 + 2/11*v**5 = 0. Calculate v.
0, 1, 2
Let t(b) be the second derivative of -b**7/1050 + b**6/72 - 13*b**5/300 + b**4/24 - 13*b**3/3 + 41*b. Let x(d) be the second derivative of t(d). Factor x(g).
-(g - 5)*(g - 1)*(4*g - 1)/5
Let f(s) be the third derivative of -s**6/60 + s**5/5 + 25*s**4/12 + 6*s**3 + 2*s**2 + 39*s. Factor f(c).
-2*(c - 9)*(c + 1)*(c + 2)
Let f(d) be the first derivative of -2*d**3/9 + 5*d**2/3 - 135. Determine h so that f(h) = 0.
0, 5
Let j be 10/15*((-1)/(-9) + 14/36). Factor j*n - 1/3*n**2 + 0.
-n*(n - 1)/3
Let t(y) = 2*y - 18. Let i be t(9). Suppose c + 2*c + 0*c = i. Factor c*p**2 + 0 - 2/11*p**4 + 0*p + 2/11*p**3.
-2*p**3*(p - 1)/11
Suppose 4 = 3*g - 26. Suppose -5*c + 2*j = j - 13, g = 2*c + 2*j. Factor 3*l**5 - 3*l**3 + 2*l**4 + l**4 - c*l**4.
3*l**3*(l - 1)*(l + 1)
Let x(d) be the second derivative of d**4/20 + d**3/2 - 124*d. Factor x(r).
3*r*(r + 5)/5
Let g(a) = -a**2 - 2*a + 2. Let j be g(0). Let s(n) be the third derivative of 3/8*n**4 + n**j - 1/20*n**5 + 0 - n**3 + 0*n. Factor s(d).
-3*(d - 2)*(d - 1)
Let d = -162 - -165. Solve -10*p - p**d + 16*p**2 - 2*p**3 - 2*p - p**3 = 0 for p.
0, 1, 3
Let u(x) be the second derivative of -7*x**5/10 + 20*x**4/3 - 23*x**3/3 - 10*x**2 - x - 36. Factor u(p).
-2*(p - 5)*(p - 1)*(7*p + 2)
Let m(n) = n**2 + 13*n + 17. Let u be m(-12). Suppose -4*a + 7 = c - u, -c = -2*a. Let 0*w**a + 0*w**4 + 0*w - 1/3*w**5 + 0*w**3 + 0 = 0. Calculate w.
0
Let b = -1833 + 16499/9. Factor 10/9*t**2 - 14/9*t + 2/3 - b*t**3.
-2*(t - 3)*(t - 1)**2/9
Suppose 3*a - 26 = -4*l, 11 = 4*l + 4*a - 17. Let 4 + l + 3 + 4*d - 12*d**2 - 4 - 4*d**3 + 4*d**4 = 0. Calculate d.
-1, 1, 2
Let f = 185/7 - -173/21. Let m = f + -34. Factor m + 1/3*q**2 - q.
(q - 2)*(q - 1)/3
Let v(p) be the first derivative of p**6/39 - 6*p**5/65 + p**4/26 + 2*p**3/13 - 2*p**2/13 - 162. Determine x, given that v(x) = 0.
-1, 0, 1, 2
Let g(l) = 5*l**4 + 20*l**3 - l**2 + 21*l - 9. Let i(q) = q**4 + 5*q**3 - q**2 + 5*q - 2. Let x(z) = -2*g(z) + 9*i(z). Factor x(p).
-p*(p - 3)*(p - 1)**2
Suppose -b + 15 = 4*b. Determine m so that b*m**2 - m**2 + 25*m**3 - 4*m**2 + 5*m**5 + 20*m**4 + 12*m**2 = 0.
-2, -1, 0
Let n be 3*(-2 + (1 - -2)). Determine r so that -2*r**4 - 4*r**n - 5 + 2*r**3 - 1 + 2 + 6*r**2 + 2*r = 0.
-2, -1, 1
Solve -14/13*x**2 - 20/13*x + 16/13 = 0 for x.
-2, 4/7
Let i(y) be the first derivative of -3*y**4 - 100*y**3/3 - 58*y**2 - 28*y + 78. Factor i(b).
-4*(b + 1)*(b + 7)*(3*b + 1)
Factor 3*j**4 - 51*j**3 - 78*j**3 + 156*j**3.
3*j**3*(j + 9)
Let p(m) be the second derivative of -m**6/480 + m**5/160 + m**4/16 - m**3/6 - 4*m. Let w(t) be the second derivative of p(t). Solve w(g) = 0.
-1, 2
Let m(l) be the first derivative of l**6/9 - 6*l**5/5 - 2*l**4/3 + 8*l**3 - 254. Let m(x) = 0. Calculate x.
-2, 0, 2, 9
Let f(u) = u**3 - u - 1. Let o = 18 + -4. Let h(r) = r**4 - 8*r**3 - r**2 + 8*r + 7. Let s(p) = o*f(p) + 2*h(p). Factor s(m).
2*m*(m - 1)**2*(m + 1)
Suppose -4/13 + 2/13*f + 10/13*f**2 + 4/13*f**3 = 0. Calculate f.
-2, -1, 1/2
Let c = 7765 + -69881/9. Factor -c*t - 2/9*t**2 + 2/3.
-2*(t - 1)*(t + 3)/9
Let f = -62111/68 + 3663/4. Let g = f + -86/51. Factor 0 - g*t**4 - 4/3*t**3 - 2/3*t**2 + 0*t.
-2*t**2*(t + 1)**2/3
Let k(u) be the first derivative of -u**3/15 + 7*u**2/10 + 8*u/5 + 38. Factor k(j).
-(j - 8)*(j + 1)/5
Let c = 35725/4 + -8931. Factor -c*h**2 + 1/4 + 0*h.
-(h - 1)*(h + 1)/4
Let s(j) be the first derivative of -j**4/3 + 136*j**3/9 - 83. Factor s(o).
-4*o**2*(o - 34)/3
Suppose 39*q = 37*q - 2. Let i be ((-11)/22)/((q + 0)*2). Let -1/2*l - i*l**2 + 0 = 0. What is l?
-2, 0
Let f = 144/17 - 5582/663. Let u(y) be the first derivative of 5 - 2/13*y**2 + 2/13*y + f*y**3. Determine w, given that u(w) = 0.
1
Let b(k) = 9*k**3 + 132*k**2 + 6*k - 127. Let i(w) = -44*w**3 - 660*w**2 - 28*w + 636. Let c(n) = 24*b(n) + 5*i(n). Factor c(j).
-4*(j - 1)*(j + 1)*(j + 33)
Factor 37*j - 184*j**2 + 39*j - 168 + 188*j**2.
4*(j - 2)*(j + 21)
Let v be (-2)/((-20)/17) - (-13)/(-65). Let y(r) be the second derivative of 0 + v*r**3 + 0*r**2 - 6*r - 1/2*r**4 + 1/20*r**5. Factor y(n).
n*(n - 3)**2
Let k = 21 + -18. Suppose 7*z - 17 = -4*t + 2*z, -4 = -2*t + 2*z. Find f, given that t*f**2 - 4*f**2 + k*f**2 = 0.
0
Let o(t) be the first derivative of t**5/5 + t**4/2 + t**3/3 - 2. Find b, given that o(b) = 0.
-1, 0
Let p be -30 - -20 - 1040/(-95). Factor 12/19*t - p - 2/19*t**2.
-2*(t - 3)**2/19
Let k be 33/(1089/88) - (3 - 4). Factor -4*o + 1/3*o**5 + 4/3 - o**4 + k*o**2 - 1/3*o**3.
(o - 2)*(o - 1)**3*(o + 2)/3
Let j(r) be the first derivative of 2*r**6/3 - 8*r**5 + 32*r**4 - 152*r**3/3 + 30*r**2 + 71. Let j(x) = 0. What is x?
0, 1, 3, 5
Suppose 10*a = -41*a. Let o(r) be the third derivative of 0*r + 2/9*r**3 + 1/24*r**4 + 6*r**2 - 1/180*r**5 + a. Find t, given that o(t) = 0.
-1, 4
Let l(d) be the first derivative of 5*d**6/6 + 6*d**5 + 65*d**4/4 + 20*d**3 + 10*d**2 - 211. Suppose l(g) = 0. Calculate g.
-2, -1, 0
Let j(l) be the second derivative of -7/48*l**4 + 0 - 11*l - 1/8*l**3 + 0*l**2. Solve j(n) = 0.
-3/7, 0
Let d(l) be the third derivative of 1/15*l**5 + 0 + 1/12*l**4 - 2/105*l**7 - 7*l**2 + 0*l**3 + 0*l**6 + 0*l - 1/168*l**8. Factor d(b).
-2*b*(b - 1)*(b + 1)**3
Suppose 5*w = w + 2*p + 6, 35 = 5*w + 3*p. Suppose -25 = -4*q - s, 0 = -w*q + q - s + 20. Factor 5*b**4 + 2*b - 17*b**5 + 7*b**2 + 4*b**3 + 18*b**5 + q*b**3.
b*(b + 1)**3*(b + 2)
Let a = -2985 + 2989. Let l(f) be the second derivative of 0*f**2 + 2/3*f**3 + 2*f**a + 0 + 8/5*f**5 - 10*f. Let l(q) = 0. Calculate q.
-1/2, -1/4, 0
Factor 0 + 639/2*b**3 + 150*b + 27/2*b**4 - 444*b**2.
3*b*(b + 25)*(3*b - 2)**2/2
Suppose 133*g**2 + 2 - 2 - 138*g**2 - 15*g = 0. What is g?
-3, 0
Let u(z) be the first derivative of -z**5/7 - 2*z**4/21 + 10*z**3/21 + 4*z**2/7 + 12*z + 8. Let p(x) be the first derivative of u(x). Let p(o) = 0. What is o?
-1, -2/5, 1
Let f be (-122)/(-40) - 1084/1355. Determine v, given that -3/2 + 15/2*v**4 + f*v**5 - 27/4*v + 9/2*v**3 - 6*v**2 = 0.
-2, -1, -1/3, 1
Let w be -8 - (-19 - 192/(-18)). Factor -w + 2/3*q - 1/3*q**2.
-(q - 1)**2/3
Let p(a) be the third derivative of -a**8/336 - a**7/56 - a**6/120 + 3*a**5/40 + a**4/12 - a**3/8 + 225*a**2. Find c, given that p(c) = 0.
-3, -1, 1/4, 1
Let n be (-418)/(-1292) + 1/2. Let -6/17*a**3 - 4/17 + n*a - 4/17*a**2 = 0. What is a?
-2, 1/3, 1
Let i(p) = 2*p**3 + 209*p**2 - 102*p + 317. Let x be i(-105). Factor 3/7*y**x + 15/7*y + 12/7.
3*(y + 1)*(y + 4)/7
Let m = 27652/27 - 1024. Let z(u) be the first derivative of -m*u**3 + 0*u**2 + 2 - 1/18*u**4 + 2/45*u**5 + 0*u. Solve z(a) = 0.
-1, 0, 2
Let z(v) be the second derivative of v**7/252 + v**6/30 - v**5/40 - 7*v**4/9 - v**3/3 + 12*v**2 + 271*v + 1. Solve z(d) = 0.
-4, -3, 2
Let i(q) be the first derivative of -7*q**4/6 + 8*q**3/3 + 25*q**2/3 + 4*q + 37. Factor i(v).
-2*(v - 3)*(v + 1)*(7*v + 2)/3
Let s(r) be the third derivative of 3*r**6/8 + 61*r**5/10 + 32*r**4 + 16*r**3 - 32*r**2. Factor s(l).
3*(l + 4)**2*(15*l + 2)
Suppose 451*y + 40 = 461*y. Factor -z**2 - 2/7*z - 1/7*z**5 + 0 - 9/7*z**3 - 5/7*z**y.
-z*(z + 1)**3*(z + 2)/7
Find t, given that 8/9*t**4 - 20/3*t**3 + 0 + 32/3*t**2 + 64/9*t = 0.
-1/2, 0, 4
Let c(p) be the third deri