ative of g**6/150 + g**5/50 - g**3/15 - g**2/10 + 7*g + 10. Let x(q) be the first derivative of f(q). Suppose x(l) = 0. What is l?
-1, 1
Let x = 7 - -4. Factor -4*z**2 - 732 - 5*z**2 + 730 - x*z.
-(z + 1)*(9*z + 2)
Solve 329/5*p + 11*p**2 + 3/5*p**3 + 637/5 = 0.
-7, -13/3
Find f such that -114/11*f**2 - 54872/11 + 1/11*f**3 + 4332/11*f = 0.
38
Factor 126 - 193*h - 45*h**2 + 164 - 248 - 116*h.
-3*(h + 7)*(15*h - 2)
Solve -20/7*n**2 + 46/7*n**3 - 10/7*n**4 + 0 - 16/7*n = 0.
-2/5, 0, 1, 4
Let s(a) be the first derivative of a**5/5 - 8*a**4/9 + 10*a**3/9 - 6*a - 6. Let z(f) be the first derivative of s(f). Factor z(m).
4*m*(m - 1)*(3*m - 5)/3
Suppose 111*m - 460 = -4*m. Find g such that 0*g + 0 - g**2 - 2/3*g**3 + 1/3*g**m = 0.
-1, 0, 3
Let t = -65/4 + 17. Let m(o) be the third derivative of -t*o**3 - 1/8*o**4 + 0 - 1/120*o**5 + 0*o - 3*o**2. Factor m(j).
-(j + 3)**2/2
Let b(t) be the third derivative of t**6/30 - 2*t**5/5 + 2*t**4 - 16*t**3/3 + 17*t**2. Factor b(g).
4*(g - 2)**3
Let m = -3 + 5. Suppose -m*a + 9*v - 10 = 4*v, 0 = 3*a - 2*v + 4. Factor 1 - 1 + 8*c**3 + a*c - 4*c**5 - 4*c.
-4*c*(c - 1)**2*(c + 1)**2
Let s be (-40)/(-2) + (1 - 3 - 6). What is d in 12/5*d + 16/5*d**4 + 0 - s*d**3 + 32/5*d**2 = 0?
-1/4, 0, 1, 3
Suppose 164*h = 187*h - 46. Factor 4/3*f**h - 4*f + 8/3.
4*(f - 2)*(f - 1)/3
Let u(s) be the second derivative of 0*s**3 + 3/2*s**6 + 0*s**2 + 0 - 5/6*s**4 - 5*s + 7/4*s**5. Factor u(h).
5*h**2*(h + 1)*(9*h - 2)
Let b(w) be the third derivative of -w**8/1512 + w**6/54 + 2*w**5/27 + 5*w**4/36 + 4*w**3/27 + 2*w**2 + 7. Factor b(p).
-2*(p - 4)*(p + 1)**4/9
Let i(t) be the second derivative of -t**5/80 + t**4/8 + 25*t**3/24 + 9*t**2/4 + 4*t - 2. Solve i(g) = 0 for g.
-2, -1, 9
Let f be 2*(-3)/32*-4*(-7)/(-7). Suppose 0 + f*n**4 + 0*n + 3*n**2 - 3*n**3 = 0. Calculate n.
0, 2
Let b(r) be the third derivative of r**5/210 + 11*r**4/7 + 1452*r**3/7 - 239*r**2. Suppose b(q) = 0. Calculate q.
-66
Suppose 22/7*w**3 + 584/7*w + 60*w**2 - 26/7*w**4 + 80/7 = 0. Calculate w.
-2, -2/13, 5
Let r = -688 + 61921/90. Let l(b) be the second derivative of -1/15*b**2 + 1/150*b**5 - 1/45*b**3 + 0 + r*b**4 + 6*b. Let l(g) = 0. Calculate g.
-1, 1
Let z(d) be the first derivative of 0*d + 2*d**4 + 2/5*d**5 + 8/3*d**3 - 10 + 0*d**2. Let z(a) = 0. Calculate a.
-2, 0
Let a(v) = 3*v**3 + 125*v**2 + 143*v + 7. Let c(n) = -n**3 - 63*n**2 - 71*n - 3. Let t(z) = -3*a(z) - 7*c(z). Factor t(w).
-2*w*(w - 34)*(w + 1)
Suppose 8 - 29 = -7*m. Determine t so that 0*t - 3*t**4 + 6*t**m + t - 3*t**2 - t = 0.
0, 1
Let w(s) be the third derivative of -33/280*s**6 + 3/28*s**5 - 1/28*s**4 - 9/784*s**8 + 30*s**2 + 29/490*s**7 + 0*s + 0 + 0*s**3. Let w(t) = 0. Calculate t.
0, 2/9, 1
Let -31 - 10 - 4*l**3 - 45 - 10 + 86*l + 30*l - 16*l**2 = 0. What is l?
-8, 1, 3
Let d(f) be the first derivative of f**5/60 - f**4/6 + f**3/2 - 15*f**2 + 32. Let m(c) be the second derivative of d(c). Factor m(g).
(g - 3)*(g - 1)
Let v = 4073/5 + -811. Let s(c) be the first derivative of 24/5*c + 3/20*c**4 + 4 + v*c**2 + 6/5*c**3. Find n such that s(n) = 0.
-2
Let t(d) be the second derivative of 0 + 0*d**2 - 2/15*d**4 + 1/5*d**3 + 1/50*d**5 + 46*d. Factor t(q).
2*q*(q - 3)*(q - 1)/5
Find r such that 72/11*r + 2/11*r**3 - 24/11*r**2 + 0 = 0.
0, 6
Let v(z) be the first derivative of 3*z**5/10 - 54*z**4 + 2592*z**3 + 290. Factor v(x).
3*x**2*(x - 72)**2/2
Let u be 16/7 + 4*(-5)/70. Let v be 8/9*15/u. Determine r, given that v*r**2 + 2*r**3 + 6*r + 4/3 = 0.
-2, -1, -1/3
Let v(y) be the second derivative of 2*y**6/45 + 4*y**5/5 + 43*y**4/9 + 40*y**3/3 + 56*y**2/3 + 65*y - 1. Factor v(n).
4*(n + 1)*(n + 2)**2*(n + 7)/3
Let r be (-7 - -4) + (-123)/(-39). Let f = 9956/5421 + 4/417. Factor -r*k**4 - f*k**2 + 12/13*k**3 - 6/13 + 20/13*k.
-2*(k - 3)*(k - 1)**3/13
Let p(v) be the second derivative of -v**6/720 - v**5/80 - v**4/24 - v**3/3 + 2*v. Let a(d) be the second derivative of p(d). Solve a(h) = 0 for h.
-2, -1
Let x(i) be the first derivative of -i**3/3 + 5*i**2/2 - 3*i + 7. Let w be x(2). Determine k so that -5*k**4 - 15*k**w - 4*k**4 + 3*k - 6*k**2 - 3*k = 0.
-1, -2/3, 0
Suppose h + 0*h - 12 = 5*g, -2*h = -5*g - 14. Suppose 2*u = -h*u + 3*o + 3, -4*u - 4*o = -24. Factor 3*k**5 - k**4 - 11*k**2 - 2*k**5 - k**3 + 12*k**2 + 0*k**u.
k**2*(k - 1)**2*(k + 1)
Let m(o) = 3*o**2 - 31*o + 96. Let z be m(4). Factor 10*q**2 + 40/3 - 5/3*q**3 - z*q.
-5*(q - 2)**3/3
Let y(d) be the first derivative of 5*d**4/4 + 40*d**3/3 - 5*d**2/2 - 40*d + 30. Determine p so that y(p) = 0.
-8, -1, 1
Suppose 8*y - 2*y - 107 = -95. Factor -4/7*z**y + 0 - 1/7*z.
-z*(4*z + 1)/7
Let z(g) be the first derivative of g**7/14 + g**6/6 - 17*g**5/12 - 5*g**4/4 - 15*g**2/2 + 2. Let d(u) be the second derivative of z(u). Factor d(q).
5*q*(q - 2)*(q + 3)*(3*q + 1)
Let j(s) be the third derivative of -s**5/40 - 69*s**4/32 - 99*s**3/8 - 450*s**2. Let j(f) = 0. Calculate f.
-33, -3/2
Factor 10*f + 32/7*f**2 + 36/7 - 2/7*f**3.
-2*(f - 18)*(f + 1)**2/7
Let c(s) be the third derivative of -s**10/105840 - s**9/17640 - 7*s**4/12 - 9*s**2. Let m(q) be the second derivative of c(q). Factor m(x).
-2*x**4*(x + 3)/7
Let b(p) be the first derivative of p**5/3 + 5*p**4/12 - 5*p**3/9 - 5*p**2/6 + 107. Factor b(n).
5*n*(n - 1)*(n + 1)**2/3
Let h = -16 - -18. Find i such that 10*i**2 - i - 8*i**2 - h - 5*i + 7*i - i**3 = 0.
-1, 1, 2
Let o(k) be the third derivative of k**6/60 + 41*k**5/30 - 85*k**4/12 + 43*k**3/3 + k**2 + 148. Factor o(y).
2*(y - 1)**2*(y + 43)
Let b(s) = -2021*s**3 + 5893*s**2 + 534*s + 12. Let m(k) = 2019*k**3 - 5892*k**2 - 533*k - 12. Let i(c) = -3*b(c) - 2*m(c). Factor i(t).
(t - 3)*(45*t + 2)**2
Let q(g) be the third derivative of g**8/50400 - g**7/9450 + g**6/5400 - 2*g**5/15 - 11*g**2. Let r(a) be the third derivative of q(a). Factor r(u).
2*(u - 1)*(3*u - 1)/15
Let t = 44 + -29. Suppose t*a + 11 - 3 + a**2 - 7*a + a**2 = 0. Calculate a.
-2
Let g(f) = -41*f**2 - f - 2. Let q be g(2). Let y be ((-2)/(-20))/((-7)/q*6). Factor 1/5*o**3 - 1/5*o - 2/5 + y*o**2.
(o - 1)*(o + 1)*(o + 2)/5
Factor 2/3*m**2 + 60*m + 1350.
2*(m + 45)**2/3
Let w be ((38/(-19))/(3 + 0))/(8/(-4)). Determine k, given that 0 - w*k**2 + k = 0.
0, 3
Let d(n) = -n**2 - 52*n - 49. Let c be d(-1). Let j(u) be the second derivative of 0 - 5*u - 1/6*u**4 + 0*u**c + 2/3*u**3. Factor j(a).
-2*a*(a - 2)
Let -3/5*l**4 + 24/5*l**3 - 18/5*l**2 - 24*l - 15 = 0. Calculate l.
-1, 5
Let r(p) = -7*p + 172. Let t be r(24). Let v(o) be the third derivative of 3/16*o**3 - 8*o**2 + 1/480*o**5 + 0*o + 0 + 1/32*o**t. Suppose v(g) = 0. Calculate g.
-3
Suppose -4*f = -16*x + 18*x - 22, -3*x - 7 = -4*f. Let b = -1398/5 - -280. Factor 2/5*s**4 - 4/5*s**x + 0 + b*s**2 + 0*s.
2*s**2*(s - 1)**2/5
Suppose 0*i + 1/4*i**4 - 3*i**3 + 11/4*i**2 + 0 = 0. Calculate i.
0, 1, 11
Let t = 461 + -459. Let h(z) be the third derivative of 0 + 0*z + 0*z**3 - 1/180*z**5 - 1/1080*z**6 - 9*z**t - 1/108*z**4. Find o such that h(o) = 0.
-2, -1, 0
Let g be 8/18 - (-140)/90. Let a be (4/(8/4))/(1 + g). Suppose 2/3*y**2 - 2/3*y**4 + 0 + a*y - 2/3*y**3 = 0. Calculate y.
-1, 0, 1
Suppose 8*u - 55 - 41 = 0. Let 2219*m**4 - 2194*m**4 + 45*m**3 - 2*m + 35*m**2 + u*m + 5*m**5 = 0. Calculate m.
-2, -1, 0
Let m(r) = -r**2 - r + 1. Let s(g) = 15*g**4 + 25*g**3 - 109*g**2 + 101*g - 26. Let z be ((-2)/(-10))/((-3)/(-15)). Let y(v) = z*s(v) + 6*m(v). Factor y(w).
5*(w - 1)**2*(w + 4)*(3*w - 1)
Suppose -4*r - 2*r + 18 = 0. Let x(n) be the first derivative of 1/4*n**4 - 1/2*n**2 + 5 + 0*n + 0*n**r. Find s such that x(s) = 0.
-1, 0, 1
Let w(d) be the second derivative of -d**7/525 + d**6/75 - d**5/50 + 5*d**2/2 + 17*d. Let k(h) be the first derivative of w(h). Determine r so that k(r) = 0.
0, 1, 3
Let r be 64/(-34) + (0/2 - -2). Suppose -m = -0 - 3, -27 = -3*z - 4*m. What is g in 20/17*g**3 - 20/17*g**2 + 10/17*g + 2/17*g**z - r - 10/17*g**4 = 0?
1
Let u = 29 + -26. Factor -3*p**3 - 5*p**u + 3*p**3 + 12*p - 12 + 2*p**3 + 3*p**2.
-3*(p - 2)*(p - 1)*(p + 2)
Let i(a) be the third derivative of a**7/840 + a**6/480 - 14*a**2. Solve i(f) = 0 for f.
-1, 0
Let k(z) be the first derivative of 2*z**3/33 + 4*z**2 + 483. Factor k(f).
2*f*(f + 44)/11
Let j(c) = -138*c - 412. Let f be j(-3). Suppose 2/3*q**f + 0 + 4/3*q - 2/3*q**3 = 0. Calculate q