r x(k).
-2*(k - 5)**2*(k - 1)**3/13
Let y(j) be the first derivative of -j**8/420 + j**7/105 - j**6/90 + 2*j**3/3 + 11*j**2 - 48. Let r(p) be the third derivative of y(p). Solve r(q) = 0 for q.
0, 1
Suppose 0 - 21*u + 6*u**2 - 3/7*u**3 = 0. What is u?
0, 7
Let b(l) be the first derivative of l**4/34 + 26*l**3/17 - 40*l**2/17 + 254. Let b(y) = 0. What is y?
-40, 0, 1
Let i(u) be the first derivative of -u**6/30 - 3*u**5/20 - u**4/4 - u**3/6 - 22*u + 18. Let f(d) be the first derivative of i(d). Let f(q) = 0. Calculate q.
-1, 0
Suppose -d = -3*q + 118, -5*q - 7*d = -5*d - 193. Let r be q/(-6)*26/(-91). Let r*a**2 + 17/7*a**4 + 2/7*a + 4/7*a**5 + 24/7*a**3 + 0 = 0. What is a?
-2, -1, -1/4, 0
Let a be 450/442 - (-12 + (-8007)/(-663)). Factor -a*r + 6/17 + 10/17*r**2.
2*(r - 1)*(5*r - 3)/17
Solve -2/7*q**2 - 18/7*q - 40/7 = 0.
-5, -4
Let s = -1 + 9. Let k(b) be the first derivative of -s*b - 4 + 4*b**2 - 2/3*b**3. Suppose k(t) = 0. Calculate t.
2
Let v(m) = -2*m + 25. Let f be v(8). Determine x, given that 33 - 33 + 6*x - 3*x**4 + f*x**2 = 0.
-1, 0, 2
Suppose -20 - 2*z**3 + 20*z**2 - 5*z - 7*z**3 + 14*z**3 = 0. What is z?
-4, -1, 1
Suppose 272 - 290 = -9*x. Solve 2/11*b - 2/11*b**3 - 6/11*b**x + 2/11*b**4 + 4/11 = 0.
-1, 1, 2
Factor 168*q**2 + 54*q - 20 + 58*q + 244*q**2 + 102*q**2 - 382*q**2.
4*(q + 1)*(33*q - 5)
Let i(v) = -v**3 + v**2 + 16*v - 25. Let c be i(3). Factor 0 + 0*p**3 + 4/17*p**4 - 2/17*p**c - 4/17*p**2 + 2/17*p.
-2*p*(p - 1)**3*(p + 1)/17
Let w(n) be the third derivative of -n**7/42 + 15*n**6/8 - 18*n**2. Factor w(d).
-5*d**3*(d - 45)
Let o(n) = -n**3 + n**2 + n - 1. Let k(b) = 12*b**3 - 27*b**2 - 36*b + 51. Let p(a) = -k(a) - 9*o(a). Find l such that p(l) = 0.
-2, 1, 7
Suppose -29*w = 101*w - 38*w - 368. Let 11*c**2 - 7/4*c**5 + 0 + 1/4*c**3 - 3*c - 13/2*c**w = 0. What is c?
-3, -2, 0, 2/7, 1
Factor -16/9*s - 10/9*s**2 - 8/9 - 2/9*s**3.
-2*(s + 1)*(s + 2)**2/9
Let p(c) be the first derivative of -1/15*c**6 + 8/5*c + 44 + 14/25*c**5 - 19/10*c**4 - 16/5*c**2 + 10/3*c**3. Let p(v) = 0. Calculate v.
1, 2
Let u = -61 + 78. Determine x so that 0*x + u*x - 3*x**2 - 7*x - 27 + 8*x = 0.
3
Let x(a) be the first derivative of -1/2*a**2 - 1/12*a**3 + 1 - a. Factor x(j).
-(j + 2)**2/4
Let l(y) = -8*y - 14. Let v be l(-2). Let z(i) be the second derivative of i**v + 0 + 1/5*i**5 - 4*i + 0*i**4 - 2/3*i**3 - 1/15*i**6. Factor z(m).
-2*(m - 1)**3*(m + 1)
Let i(m) be the third derivative of 5*m**8/336 - 5*m**7/42 + 3*m**6/8 - 7*m**5/12 + 5*m**4/12 - 3*m**2 - 12. Determine k, given that i(k) = 0.
0, 1, 2
Let c(u) be the second derivative of 0 - 1/100*u**5 + 1/30*u**4 + 0*u**2 - 6*u - 1/30*u**3. Factor c(w).
-w*(w - 1)**2/5
Let r be ((-4)/11)/((-8)/44). Factor 2/15*s**4 - 2/5*s**3 + 0 - 2/15*s + 2/5*s**r.
2*s*(s - 1)**3/15
Let t(r) be the second derivative of -r**6/15 + 4*r**5/5 - 5*r**4/2 - 4*r**3/3 + 20*r**2 + 46*r. Solve t(m) = 0.
-1, 2, 5
Let b be (-2 - (-17)/8) + 51/204. Factor -3/8*d**4 + b*d**5 + 0 + 15/8*d**2 - 3/4*d - 9/8*d**3.
3*d*(d - 1)**3*(d + 2)/8
Suppose -5*z - 4 = -c, -z + 4 = c + z. Let n = -59 + 71. Determine g, given that 24*g**3 - 17*g**c - 2 - n*g - 1 + 6*g**2 - 12*g**5 + 14*g**4 = 0.
-1, -1/4, 1
Let v(y) be the first derivative of y**4/7 + 4*y**3/7 + 4*y**2/7 - 118. Let v(u) = 0. What is u?
-2, -1, 0
Let y = -4/1115 + 781/31220. Let n(a) be the second derivative of y*a**5 + a - 9/14*a**2 + 3/28*a**4 - 1/14*a**3 + 0. Suppose n(b) = 0. Calculate b.
-3, -1, 1
Factor 0 - 1/7*j**5 + 36/7*j**2 + 32/7*j**3 + 5/7*j**4 + 0*j.
-j**2*(j - 9)*(j + 2)**2/7
Factor 4*v**3 + 52*v**2 + 36*v + 35*v + 39*v + 30*v - 196.
4*(v - 1)*(v + 7)**2
Let q(l) be the first derivative of 2*l**5/5 + 4*l**4 + 12*l**3 - 54*l - 40. Factor q(s).
2*(s - 1)*(s + 3)**3
Suppose 0 = 5*p + 5*f, -127 + 106 = -3*p + 4*f. Let r(n) be the first derivative of 0*n**p - 1/8*n**4 + 14 + 1/24*n**6 + 0*n + 1/8*n**2 + 0*n**5. Factor r(x).
x*(x - 1)**2*(x + 1)**2/4
Let y be (-55)/(-255) + (415/(-85) - -5). Let r(p) be the first derivative of -4/3*p**3 + 0*p**4 + y*p**6 - 2 + 0*p + 4/5*p**5 - p**2. Factor r(v).
2*v*(v - 1)*(v + 1)**3
Let b(z) be the third derivative of 0 - 7/2*z**3 - 1/40*z**6 + 7/20*z**5 + 1/8*z**4 + 0*z + 3*z**2. Solve b(u) = 0.
-1, 1, 7
Determine a so that -91*a + 1/4*a**2 + 8281 = 0.
182
Let q = -58 - -1857/32. Let x(m) be the first derivative of 15/16*m**2 - 9/8*m + 3 + q*m**4 - 7/24*m**3. Factor x(u).
(u - 3)**2*(u - 1)/8
Let g be (-7 + 1)/(-3) - -1. Factor c**4 - 4*c**4 - c**4 + 4*c**g + 2*c**4.
-2*c**3*(c - 2)
Let v = -21 + 25. Factor 13*q**3 + 4*q**v + 12*q**2 - q**3 + 4*q + 0*q**3.
4*q*(q + 1)**3
Suppose 4*n**2 - 80*n - 98*n**3 + 42*n + 38*n = 0. What is n?
0, 2/49
Let c be 6/(-10) - (-2044)/2940. Let f(o) be the second derivative of -8/15*o**6 + 2/3*o**4 - 4*o + c*o**7 + 4/5*o**5 + 0 + 4*o**2 - 10/3*o**3. Factor f(i).
4*(i - 2)*(i - 1)**3*(i + 1)
Let j(b) = 5*b**4 - 419*b**3 + 9246*b**2 - 8808*b - 6. Let k(t) = 80*t**4 - 6705*t**3 + 147935*t**2 - 140930*t - 95. Let r(l) = 95*j(l) - 6*k(l). Factor r(y).
-5*y*(y - 42)**2*(y - 1)
Let -38/3*l - 32/9*l**2 + 0 + 2/9*l**3 = 0. What is l?
-3, 0, 19
Suppose 3*a = -3*n + 24, 0*a - 15 = -5*a. Let d(l) be the first derivative of 0*l**3 + 1/12*l**4 + 2/3*l + n - 1/2*l**2. Solve d(v) = 0.
-2, 1
Let i(d) be the third derivative of 0 + 9*d**2 + 0*d**4 + 0*d**3 - 1/40*d**6 + 1/30*d**5 + 0*d - 1/42*d**7. Factor i(v).
-v**2*(v + 1)*(5*v - 2)
Let c(x) be the third derivative of -x**5/30 + 2*x**4/3 - 13*x**2 - 3*x. Factor c(f).
-2*f*(f - 8)
Let s be (-4)/(-12)*(0/(-2) + -3). Let h be (-1)/(6/(-4)) - (1 + s). Find j, given that h*j - 1 + 1/3*j**2 = 0.
-3, 1
Suppose 43*c = 46*c - 6. Solve 9/4*s + 3/8*s**c + 27/8 = 0 for s.
-3
Let z be 60/(-9)*(-6)/(-4). Let o(q) = q**4 - q**2 - 1. Let a(g) = -8*g**4 + 8*g**3 + 14*g**2 - 8*g + 4. Let f(k) = z*o(k) - a(k). Factor f(m).
-2*(m - 1)*(m + 1)**2*(m + 3)
Let p(u) be the second derivative of u**4/48 + u**3/4 + 5*u**2/8 - 5*u - 10. Factor p(i).
(i + 1)*(i + 5)/4
Let l(g) = 0*g - 2*g + 3 + 1 + 3*g. Let w be l(-2). Solve -32*c**2 - 8 + 30*c**3 - 32*c**w + 44*c - 2*c**3 = 0.
2/7, 1
Let r(h) = 14*h + 33. Let t be r(-3). Let m be 6 - (-3)/9*t. Let -13/7*z - 2/7 - 24/7*z**2 - 9/7*z**m = 0. Calculate z.
-2, -1/3
Let t(a) = a**5 - 9*a**4 + 5*a**3 + 9*a**2 + 9. Let p(l) = l**4 - l**3 - l**2 - 1. Let n(j) = -36*p(j) - 4*t(j). Factor n(b).
-4*b**3*(b - 2)*(b + 2)
Let c(r) be the second derivative of -5*r**7/294 - 6*r**6/35 - 22*r**5/35 - 16*r**4/21 + 8*r**3/7 + 32*r**2/7 - 319*r. Factor c(p).
-(p + 2)**4*(5*p - 4)/7
Let -9*l**3 + 144*l + 27/4*l**4 - 3/4*l**5 - 108 - 48*l**2 = 0. Calculate l.
-3, 2, 6
Let d(m) be the first derivative of m**4/8 + 5*m**3/6 + 2*m**2 + 2*m + 83. Determine q, given that d(q) = 0.
-2, -1
Suppose 7*l = -10*l + 51. Let r(b) be the first derivative of -5*b**4 - 2*b - 3*b**6 + 4*b**3 + 3*b**2 - 42/5*b**5 - l. Factor r(t).
-2*(t + 1)**3*(3*t - 1)**2
Let j(r) be the first derivative of -4*r**3/3 - 16*r**2 - 60*r - 44. Factor j(m).
-4*(m + 3)*(m + 5)
Suppose -3*f = -0*f - 6*f. Let d(i) be the second derivative of 1/90*i**6 + 2*i + f + 1/12*i**4 + 0*i**2 + 1/18*i**3 + 1/20*i**5. Let d(x) = 0. Calculate x.
-1, 0
Let d(i) be the third derivative of -i**5/300 - i**4/30 + 7*i**3/10 - i**2 + 407*i. Solve d(j) = 0.
-7, 3
Suppose -3*o = -2*g - 8 - 2, 5*g = 5*o - 20. Suppose 0 = -2*l + 3 + 5. Factor 4/7*y**3 - 4/7*y + 0*y**o + 2/7 - 2/7*y**l.
-2*(y - 1)**3*(y + 1)/7
Let x(h) be the second derivative of -h**4/36 + 4*h**3 - 71*h**2/6 + 161*h. Factor x(o).
-(o - 71)*(o - 1)/3
Let a(m) = -m**3 - 16*m**2 - 5*m - 76. Let w be a(-16). Let i be (7 - 1)*6/12. Factor i*r**2 + 13/5*r**3 + 7/5*r + 4/5*r**w + 1/5.
(r + 1)**3*(4*r + 1)/5
Let w = 9 + -9. Let o(v) = 4 - v**4 - v**3 + w*v**4 - 5. Let h(d) = 2*d**5 + 12*d**3 - 2*d**2 + 6. Let l(t) = -h(t) - 6*o(t). Determine k, given that l(k) = 0.
0, 1
Let a(d) be the third derivative of -d**10/30240 + d**9/5040 - d**7/630 + d**4/2 - 7*d**2. Let x(s) be the second derivative of a(s). Factor x(v).
-v**2*(v - 2)**2*(v + 1)
Let i(p) be the second derivative of -2/15*p**6 - 2*p**4 + 0 - 4/5*p**5 + 9*p - 2*p**2 - 8/3*p**3. Let i(k) = 0. Calculate k.
-1
Let q = -457 - -460. Let y(k) be the third derivative of 0*k + 1/40*k**4 + 0*k**q + 12*k**2 + 0 - 1/100*