6/600 + 4*z**5/75 - 3*z**4/10 - 290*z**2. Factor n(v).
v*(v - 2)*(v + 18)/5
Let p(m) be the second derivative of -m**4/30 + 10*m**3/3 - 125*m**2 - 2*m + 107. Factor p(a).
-2*(a - 25)**2/5
Let l(d) be the second derivative of d**7/147 - d**6/105 - d**5/14 + d**4/42 + 8*d**3/21 + 4*d**2/7 - 4*d + 16. Suppose l(o) = 0. What is o?
-1, 2
Let f be ((282/10)/(-3))/(3/5). Let d = -15 - f. Solve 2/3 + 0*b - d*b**2 = 0.
-1, 1
Let n(p) be the second derivative of p**8/6720 - p**7/1260 + 7*p**4/3 - 21*p. Let o(y) be the third derivative of n(y). Factor o(i).
i**2*(i - 2)
Let f be (23/(-7) - 8/(-28)) + 6. Factor f*l**2 + l + 2*l**3 + l + 0*l - l.
l*(l + 1)*(2*l + 1)
Let l(w) be the first derivative of -3/7*w**2 - 14 - 3/7*w**3 + 0*w - 3/28*w**4. What is m in l(m) = 0?
-2, -1, 0
Let l(p) be the second derivative of p**5/4 + 5*p**4/4 - 10*p**3/3 - 453*p. Factor l(j).
5*j*(j - 1)*(j + 4)
Let y(k) be the first derivative of 0*k + 1/15*k**3 + 20 + 0*k**2. Factor y(n).
n**2/5
Suppose 150 + 1631 = 137*c. Let z(y) be the first derivative of -c + 1/3*y**3 - 4*y - 3/2*y**2. Suppose z(n) = 0. What is n?
-1, 4
Let u = 2008 - 5915/3. Let f = u + -36. Solve 0*v**4 - f*v**3 + 0*v**2 + 0*v + 0 + 1/3*v**5 = 0.
-1, 0, 1
Suppose -4*q + 185 = -3*q. Suppose 5*g = g - 2*h + 138, 5*g + 5*h = q. Determine d so that -1 + 29*d**2 + 3*d**3 + 1 - g*d**2 = 0.
0, 1
Let z(n) = 3*n**3 + 2*n**2 + 9*n + 5. Let v(m) = -2*m**3 - 2*m**2 - 8*m - 4. Let i be (-1)/2 + 88/16. Let p(k) = i*v(k) + 4*z(k). Factor p(c).
2*c*(c - 2)*(c + 1)
Let j(o) be the second derivative of o**8/420 - 4*o**7/525 - 7*o**6/150 - 4*o**5/75 + 3*o**2 + 14*o. Let y(q) be the first derivative of j(q). Factor y(i).
4*i**2*(i - 4)*(i + 1)**2/5
Let h(l) be the second derivative of l**5/10 - 29*l**4/3 + 55*l**3/3 + 114*l**2 - 644*l. Solve h(y) = 0.
-1, 2, 57
Determine t so that 94/7*t**2 - 58/7*t + 8/7 - 20/7*t**3 = 0.
1/5, 1/2, 4
Let g(b) be the third derivative of -b**6/450 + 2*b**5/75 - 2*b**4/15 - 4*b**3/3 - 8*b**2. Let m(y) be the first derivative of g(y). Factor m(d).
-4*(d - 2)**2/5
Let b(k) be the third derivative of -1/1470*k**7 + 0*k + 0 - 1/84*k**4 + 1/420*k**5 + 0*k**3 + 4*k**2 + 1/280*k**6 - 1/2352*k**8. Solve b(h) = 0 for h.
-2, -1, 0, 1
Let o(m) be the first derivative of 2*m**3/9 - 5*m**2/3 + 4*m + 21. Let o(n) = 0. What is n?
2, 3
Let y be (-18)/30*4/(-12). Let 0 + 4/5*m**4 - 2/5*m**2 + y*m**3 - 3/5*m**5 + 0*m = 0. What is m?
-2/3, 0, 1
Let z(a) = -3*a**3 - 6*a**2 + 21*a + 2. Let s(j) = 3*j**3 + 5*j**2 - 19*j - 1. Let x(d) = 7*s(d) + 6*z(d). Factor x(o).
(o - 1)**2*(3*o + 5)
Let c(j) be the third derivative of j**9/20160 + j**8/3360 - j**7/1680 - j**6/120 + 7*j**5/20 - 15*j**2. Let m(b) be the third derivative of c(b). Factor m(x).
3*(x - 1)*(x + 1)*(x + 2)
Factor -169*d**2 - 225816*d - 995*d**2 + d**3 + 2*d**3 - 6*d**3 - 14602768 + d**3.
-2*(d + 194)**3
Let o(x) be the first derivative of -1/9*x**2 - 10 + 0*x - 2/27*x**3. Factor o(m).
-2*m*(m + 1)/9
Let p(i) be the first derivative of -2*i**5/55 + 109*i**4/11 - 10512*i**3/11 + 373030*i**2/11 + 778034*i/11 + 238. Find s, given that p(s) = 0.
-1, 73
Let j(s) = s**3 - 3*s - 1. Let h(f) = f**2 - f - 1. Let r(z) = 2*h(z) - 2*j(z). Let r(v) = 0. What is v?
-1, 0, 2
Let t(u) be the third derivative of u**9/4032 + u**8/2240 - u**7/840 - 3*u**5/20 - 14*u**2. Let y(w) be the third derivative of t(w). Factor y(i).
3*i*(i + 1)*(5*i - 2)
Suppose 20 + 40 = 5*l. Let f be (l/(-8))/(3/(-6)). Factor -4*r**f + 3*r**3 + 10*r - 3*r**3 - 6*r.
-4*r*(r - 1)*(r + 1)
Let i = -10 + 0. Let j = -1 - i. Solve 16*b**2 + 4*b**5 - 13*b**3 - 2 + 2*b**4 - 8*b**2 + b**4 + j*b - 9*b**2 = 0 for b.
-2, -1, 1/4, 1
Factor -92*i - 18083*i**2 + 19 + 18043*i**2 - 4*i**3 - 75.
-4*(i + 1)*(i + 2)*(i + 7)
Let z = 27 - 39. Let f be 3/(-6)*z/3. Factor -1 - 2*w**2 + 2 + w**f + 2*w - 2.
-(w - 1)**2
Suppose 3*l + 5*y - 5 = 6*y, 0 = 4*l + y - 16. Solve -32/9 + 4/3*i**l + 94/9*i**2 + 176/9*i = 0 for i.
-4, 1/6
Let k be (3 - 3) + 4 + -2. Factor -s + 4*s**2 - 2*s**k - s**2.
s*(s - 1)
Let z(y) be the third derivative of y**8/168 - 17*y**7/105 + 2*y**6/3 + 4*y**5/3 - 44*y**4/3 + 112*y**3/3 - 451*y**2. Suppose z(o) = 0. What is o?
-2, 1, 2, 14
Let v(d) = -3*d**3 + 90*d**2 - 369*d - 164. Let w(o) = -2*o**3 + 91*o**2 - 369*o - 165. Let j(g) = -3*v(g) + 2*w(g). Find f such that j(f) = 0.
-2/5, 9
Let d(k) be the second derivative of 9*k + 0 + 1/78*k**4 - 2/13*k**3 + 5/13*k**2. Factor d(i).
2*(i - 5)*(i - 1)/13
Let n(y) be the third derivative of -y**7/140 + y**6/120 + y**5/120 - 116*y**2. Factor n(i).
-i**2*(i - 1)*(3*i + 1)/2
Let 9*b**3 - 29 - 4*b**5 + 8*b**5 - 19 + 52*b**2 - 20*b**4 + 3*b**3 - 32*b = 0. Calculate b.
-1, 2, 3
Let b(x) be the third derivative of x**8/2184 + 2*x**7/455 - 2*x**6/65 - 8*x**5/39 + 28*x**4/13 - 96*x**3/13 + 2*x**2 + 157. Find c such that b(c) = 0.
-6, 2
Let m(o) be the second derivative of -o**4/42 - 88*o**3/21 + 89*o**2/7 + 267*o. Factor m(r).
-2*(r - 1)*(r + 89)/7
Suppose -70 = -10*o - 0*o. Factor -4*i + 2*i**2 - 3 + 3 + 1 - o.
2*(i - 3)*(i + 1)
Let z(f) be the second derivative of -5*f**7/42 - 10*f**6/3 - 67*f**5/2 - 425*f**4/3 - 375*f**3/2 + 2*f - 120. Find l, given that z(l) = 0.
-9, -5, -1, 0
Let g(h) = h + 5. Let r be g(1). Suppose -4*q = -q - 4*n - 12, -5*q + r = -2*n. Factor -1/2*y + 1/2*y**3 + q + 0*y**2.
y*(y - 1)*(y + 1)/2
Let o(a) be the first derivative of -2*a**6/3 + 4*a**5/5 + 3*a**4 - 20*a**3/3 + 4*a**2 - 85. Solve o(x) = 0 for x.
-2, 0, 1
Let z be 9*16/72 - (3 - 5). Let l(d) be the second derivative of 7/3*d**z - 11/5*d**5 - 10*d + 0*d**2 + 2/3*d**6 + 0 - 2/3*d**3. Factor l(w).
4*w*(w - 1)**2*(5*w - 1)
Factor -43*p**3 - 12*p**3 - 2*p**2 + 1 + 55*p**3 + p**4.
(p - 1)**2*(p + 1)**2
Suppose -10 = -2*b + 5*s, -45*b = -41*b + 2*s + 4. Factor 0 + 2/5*i - 2/5*i**3 + b*i**2.
-2*i*(i - 1)*(i + 1)/5
Let o = -1 + -8. Let u = 11 + o. Suppose 18*n**4 - 6*n**3 - 12*n**5 + 3*n**4 - 11*n**2 + 8*n**u = 0. Calculate n.
-1/4, 0, 1
Suppose -2*a + 8 + 4 = 0, -k + 5*a - 28 = 0. Solve -6*j**k - 3/2*j**3 - 3/4 - 3*j**5 + 9/2*j + 27/4*j**4 = 0 for j.
-1, 1/4, 1
Factor -11 - 19/8*i - 1/8*i**2.
-(i + 8)*(i + 11)/8
Let d(a) = -a**3 - 5 + 2 + 2 - a**2. Let m(b) = -7*b**3 - 9*b**2 - 3*b - 7. Let h(o) = 6*d(o) - m(o). Factor h(l).
(l + 1)**3
Let t = -140 + 89. Let r = t + 53. Let -2/5*y + 0 + 2/5*y**r = 0. What is y?
0, 1
Let c(v) = -v**3 + 53*v**2 + 69*v - 806. Let i be c(54). Factor 2/5*h**2 + 3/5*h**3 + 0*h - 1/5*h**5 + 0 + 0*h**i.
-h**2*(h - 2)*(h + 1)**2/5
Let q(g) be the second derivative of -1/8*g**4 + 0 + 20*g + 0*g**3 + 3/4*g**2. Determine l so that q(l) = 0.
-1, 1
Factor 50/3*i**2 + 8/3*i**3 + 28*i + 6.
2*(i + 3)**2*(4*i + 1)/3
Let q(l) be the third derivative of l**5/30 - 9*l**4/4 + 26*l**3/3 + 563*l**2. Solve q(m) = 0 for m.
1, 26
Let c(t) be the third derivative of t**8/17920 - t**7/2240 + t**6/960 + 5*t**4/6 - 9*t**2. Let k(p) be the second derivative of c(p). Factor k(n).
3*n*(n - 2)*(n - 1)/8
Find c, given that 9*c**3 - 40*c**2 - 1/2*c**4 + 81/2 - 9*c = 0.
-1, 1, 9
Suppose 35 = -2*m + 11. Let k be m/8 - (-46)/20. Suppose 0*j**3 - 1/5*j - k*j**4 + 0 + 3/5*j**2 = 0. What is j?
-1, 0, 1/2
Suppose 0 = -5*w + 192 + 268. Let z = w + -640/7. Factor z*p**3 - 4/7*p + 0 - 2/7*p**2 + 2/7*p**4.
2*p*(p - 1)*(p + 1)*(p + 2)/7
Let b(t) = t**2 - 21*t + 113. Let f be b(10). Let i(x) be the first derivative of -3*x**f - 3/8*x**4 - 12*x - 9*x**2 - 2. Factor i(z).
-3*(z + 2)**3/2
Suppose -44*f - 37 = -45*f. Let j be (1 - 4/3) + f/111. Determine c so that -2/9*c**4 + 8/9*c**2 + j + 8/9*c - 2/9*c**3 = 0.
-2, -1, 0, 2
Let u be ((-8)/4)/(8/(-20)). Find t such that t**2 + 4*t**5 - 6*t**4 - 3*t**5 + 3*t**u + 17*t**4 - t + 9*t**3 = 0.
-1, 0, 1/4
Let r(h) be the second derivative of 7*h**6/30 + 2*h**5/15 - 6*h**2 + h. Let z(y) be the first derivative of r(y). Factor z(f).
4*f**2*(7*f + 2)
Let o(a) be the second derivative of 1/21*a**7 - 11*a - 2/5*a**5 + 2*a**2 + 0 + 0*a**6 - 1/3*a**4 + a**3. Factor o(n).
2*(n - 2)*(n - 1)*(n + 1)**3
Let i(b) be the first derivative of -b**8/14280 + b**6/1020 + b**5/510 + 8*b**3/3 + 12. Let q(v) be the third derivative of i(v). Let q(o) = 0. What is o?
-1, 0, 2
Let k(r) be the first derivative of -r**3/5 + 141*r**2/5 + 182. Factor k(j).
-3*j*(j - 94)/5
Let i(b) be the second de