0. Calculate s.
-2, 0
Let i(t) be the second derivative of t**4/28 - 6*t**2/7 + 8*t. Suppose i(f) = 0. Calculate f.
-2, 2
Let m(g) = g + 10. Let v be m(-8). Let a(o) = -o**2 + o + 9. Let p be a(-2). Factor -1/3*r**p - r - 1/3 - r**v.
-(r + 1)**3/3
Let g be ((-6)/(-45))/((-92)/(-345)). Factor -1/2*i - g*i**2 + 0.
-i*(i + 1)/2
Let h be (72/(-9))/(-24) + 1/6. Solve 1/4*z**4 + 1/4*z**3 - 5/4*z - 3/4*z**2 - h = 0.
-1, 2
Suppose -4*h = 10 + 2. Let r = h + 3. Let -2/3*w**2 + r*w + 0 + 8/3*w**3 = 0. What is w?
0, 1/4
Let w(c) be the third derivative of c**6/180 - 6*c**2. Factor w(f).
2*f**3/3
Let x(z) be the third derivative of -z**8/20160 - z**7/1260 - z**6/180 + z**5/20 - 2*z**2. Let r(c) be the third derivative of x(c). Let r(l) = 0. Calculate l.
-2
Suppose -2*n = -5*w, 0 = 4*w + 3*n + n - 28. Suppose -4*g - g + 5*b = -15, 0 = g - 5*b - 11. Solve c**2 + 4*c - g + w - 3 - 5*c = 0 for c.
-1, 2
Let g(a) = 2*a**3 - 5*a + 10. Let m(f) = -3*f**3 + 7*f - 15. Let d(p) = -7*g(p) - 5*m(p). Let o(z) be the first derivative of d(z). Factor o(t).
3*t**2
Let o(r) = 4*r**2 + 8*r - 16. Let q(y) = -y + 1. Let d(x) = o(x) + 16*q(x). What is k in d(k) = 0?
0, 2
Let g(x) be the third derivative of x**5/140 - x**4/56 - 3*x**3/7 - 46*x**2. Suppose g(v) = 0. What is v?
-2, 3
Let c = -21 - -32. Let j(f) = -f + 11. Let q be j(c). Solve -2/3*l**3 + q + 0*l - 4/3*l**2 = 0.
-2, 0
Let r(l) be the first derivative of -3 - 4*l + 11/3*l**3 - 3*l**4 - 7/5*l**5 + 6*l**2. Solve r(x) = 0.
-2, -1, 2/7, 1
Let c(x) = x**2 - 3*x + 3. Let b be c(3). Let o = 0 - -2. Factor -v - 2*v**b - o*v + 5*v**3.
3*v*(v - 1)*(v + 1)
Let m(c) be the first derivative of -7 + 0*c + 1/3*c**3 + 1/2*c**4 + 0*c**2 + 1/5*c**5. Let m(p) = 0. What is p?
-1, 0
Let m(i) = i**3 - 5*i**2 - i + 4. Let w be m(5). Let l(s) = -s**3 + s**2 - s - 1. Let x be l(w). Factor -2/3*n + 4/3*n**x + 0.
2*n*(2*n - 1)/3
Let -3*r**2 + 2 + 12*r**2 - 11*r**2 = 0. What is r?
-1, 1
Let j(l) be the second derivative of l**5/40 + l**4/6 + l**3/12 - 3*l**2/2 - 10*l. Suppose j(d) = 0. Calculate d.
-3, -2, 1
Let k(d) be the first derivative of d**3/9 - d**2/3 + d/3 + 6. Factor k(g).
(g - 1)**2/3
Find d, given that 1/12*d - 1/12 - 1/12*d**3 + 1/12*d**2 = 0.
-1, 1
Factor -38*q + 3 + 38*q + 29 - 24*q**2 + 16*q + 4*q**4 - 4*q**3.
4*(q - 2)**2*(q + 1)*(q + 2)
Let f = -2486/5 + 498. Suppose 2/5*h**5 - 2/5*h**4 - 6/5*h**3 - f*h + 2*h**2 + 0 = 0. What is h?
-2, 0, 1
Let q(f) = 2*f**3 - 8*f**2 - f + 7. Let t be q(4). Let 2/9*l**2 - 2/9*l - 2/9 + 2/9*l**t = 0. What is l?
-1, 1
Let a(p) = 3*p**2 + 14*p + 8. Let m be a(-4). Find v such that 3/5*v**2 + m*v - 3/5*v**3 - 3/5*v**4 + 3/5*v**5 + 0 = 0.
-1, 0, 1
Let h be (-2 - -2)/(7/((-21)/(-6))). Let 1/2*q**3 + 0*q**2 + h + 0*q = 0. What is q?
0
Let o = 103 + -99. Let i(r) be the third derivative of 1/30*r**6 - 1/35*r**7 + 0 - 1/6*r**o + 1/10*r**5 - r**2 + 0*r**3 + 0*r. Suppose i(l) = 0. Calculate l.
-1, 0, 2/3, 1
Let k = 293143/7614 + -2/3807. Solve k*n**2 + 2 - 121/2*n**3 + 20*n = 0 for n.
-2/11, 1
Suppose -1 = -a + 2. Suppose 0*d = 3*d. Solve g**a + d*g - 2*g**2 + 4*g - 3*g**3 = 0 for g.
-2, 0, 1
Let o be (-4)/(-30) - -6*152/3960. Determine l so that -2/11 - o*l - 2/11*l**2 = 0.
-1
Factor -4 + 4*z**2 + 0*z**2 + 0*z**2.
4*(z - 1)*(z + 1)
Let d(v) be the first derivative of 8*v - 2*v**2 + 4/5*v**5 - 4*v**3 - 2 + v**4. Determine j, given that d(j) = 0.
-2, -1, 1
Suppose -3*t = -t. Let l be t/(-2)*3/(-9). Let 2/7*v**3 + 0*v + 0*v**2 + l = 0. Calculate v.
0
Let o(g) be the third derivative of -g**6/90 - g**5/45 + 2*g**4/9 + 8*g**3/9 + 2*g**2 - 11. Determine r, given that o(r) = 0.
-2, -1, 2
Let f = -4 - -7. Suppose -2*n - 2*o + 8 = 0, -f*n - 2*o = -2 - 6. What is u in n + 0*u + 2/7*u**3 + 0*u**2 = 0?
0
Let a(w) be the second derivative of -w**4/24 - w**3/12 - 12*w. Factor a(c).
-c*(c + 1)/2
Let f = 83/220 - -1/44. Factor f*y - 2/5*y**3 - 2/5*y**2 + 0 + 2/5*y**4.
2*y*(y - 1)**2*(y + 1)/5
Let -13/7*u**2 + 15/7*u - 2/7 = 0. What is u?
2/13, 1
Suppose 18 = -o - 0*o. Let i be (o/4)/((-5)/8). Factor 0*g**2 + 0*g + i*g**4 - 4/5*g**3 + 0 - 81/5*g**5.
-g**3*(9*g - 2)**2/5
Let c be (1 - 0)*2/12. Let u(p) be the second derivative of 1/4*p**4 - 3/20*p**5 - c*p**3 + 0 + 1/30*p**6 - 2*p + 0*p**2. Factor u(j).
j*(j - 1)**3
Determine h, given that 4/3*h**4 - 8/3*h**2 + 2/3*h**5 + 0 - 2*h**3 + 8/3*h = 0.
-2, 0, 1
Let t(g) be the third derivative of -g**5/80 - g**4/16 - g**3/8 + 3*g**2. Factor t(m).
-3*(m + 1)**2/4
Let m(q) be the first derivative of q**4/4 - q**3/3 - q**2 - 8. Factor m(z).
z*(z - 2)*(z + 1)
Let l = 12 - 12. Let i(p) be the second derivative of -1/5*p**2 + 0*p**3 + 1/30*p**4 + p + l. Suppose i(n) = 0. Calculate n.
-1, 1
Let h(t) be the third derivative of 8*t**7/945 + 11*t**6/135 + t**5/5 + 25*t**4/108 + 4*t**3/27 - 3*t**2. Let h(r) = 0. Calculate r.
-4, -1/2
Let i(y) be the first derivative of 0*y**5 + 0*y**3 - 1/8*y**6 + 0*y + 2 + 0*y**4 + 0*y**2. Factor i(l).
-3*l**5/4
Suppose 2*c + 23 = 5*b, -2*c = 3*c + 2*b - 15. Solve 0*f**2 - c - 6 - 4*f - 1 + 4*f**2 = 0.
-1, 2
Let k be (-3 + 0 - -9)/2. Let n(b) be the first derivative of 2 - 1/12*b**k + 0*b + 1/4*b**2 - 1/16*b**4. Factor n(i).
-i*(i - 1)*(i + 2)/4
Let c(j) be the third derivative of 0*j - 3*j**2 + 0*j**5 + 0 - 1/3*j**3 + 1/30*j**6 + 1/105*j**7 - 1/6*j**4. Suppose c(g) = 0. What is g?
-1, 1
Let v(d) be the first derivative of -d**6/24 + 3*d**4/16 + d**3/6 - 72. Factor v(h).
-h**2*(h - 2)*(h + 1)**2/4
Factor g**4 - 5*g**4 + g**3 + 2*g**3 + g**4.
-3*g**3*(g - 1)
Let a(p) be the second derivative of -p**5/24 - p**4/6 - p**3/4 - p**2/6 - 18*p. Factor a(q).
-(q + 1)**2*(5*q + 2)/6
Let t(i) be the third derivative of i**6/48 + i**5/4 + 5*i**4/6 - 25*i**2 + 2*i. What is d in t(d) = 0?
-4, -2, 0
Let p(m) be the third derivative of 3*m**8/616 + 2*m**7/385 - 2*m**6/165 - m**5/55 - m**4/132 + 4*m**2. Solve p(a) = 0.
-1, -1/3, 0, 1
Let x(f) be the second derivative of -f**5/90 - f**4/36 + 2*f**3/9 - 2*f**2 - 2*f. Let y(i) be the first derivative of x(i). Factor y(k).
-2*(k - 1)*(k + 2)/3
Let d(v) be the second derivative of 3*v + 0*v**2 + 0 - 1/30*v**4 + 2/15*v**3. Factor d(s).
-2*s*(s - 2)/5
Suppose 0 = 2*c + 3 + 3, -2*c = i + 2. Suppose l = 3*l - i. Suppose 2*h**l - 2*h**4 + h**3 + 8*h**3 - 5*h**3 - 4*h = 0. What is h?
-1, 0, 1, 2
Factor -12/5*p - 9/5 - 3/5*p**2.
-3*(p + 1)*(p + 3)/5
Let k be 2 + 3/6*38. Suppose 0 = -2*w - 5*d - k, w + 8 = -2*d - 0. Factor 2/7*m - 2/7*m**3 + 0 + 0*m**w.
-2*m*(m - 1)*(m + 1)/7
Let l(i) be the third derivative of 0*i + 0*i**4 - 1/105*i**7 - 1/168*i**8 + 1/12*i**6 + 0*i**3 - 3*i**2 - 1/10*i**5 + 0. Factor l(c).
-2*c**2*(c - 1)**2*(c + 3)
Find p, given that 9/4*p - 3/4*p**4 - 3 - 9/4*p**3 + 15/4*p**2 = 0.
-4, -1, 1
Factor 0*v - 1/3*v**2 + 0.
-v**2/3
Let v(q) be the first derivative of -q**9/3024 - q**8/420 - q**7/140 - q**6/90 - q**5/120 + q**3 + 7. Let g(c) be the third derivative of v(c). Factor g(d).
-d*(d + 1)**4
Let y(b) be the third derivative of 0 + 5*b**2 - 1/36*b**4 - 2/45*b**5 + 0*b + 0*b**3. Factor y(g).
-2*g*(4*g + 1)/3
Let t be 374/(-960) - (-6)/15. Let f(k) be the third derivative of -1/480*k**6 + 0 - 1/120*k**5 - t*k**4 + 0*k**3 + 2*k**2 + 0*k. Factor f(d).
-d*(d + 1)**2/4
Let n(j) be the third derivative of j**8/112 + j**7/70 - j**6/40 - j**5/20 - 4*j**2. Factor n(g).
3*g**2*(g - 1)*(g + 1)**2
Let c = -117/17 + 7. Factor 0 - 2/17*t**3 + 0*t - c*t**2.
-2*t**2*(t + 1)/17
Suppose -2*i + 2 = 2. Let 8/3*z**3 - 10/3*z**2 + 4/3*z + i - 2/3*z**4 = 0. What is z?
0, 1, 2
Let h(x) be the second derivative of -x**7/42 + x**6/15 - x**4/6 + x**3/6 + 3*x. Solve h(u) = 0.
-1, 0, 1
Let h(u) = -u - 6. Let i be h(-7). Suppose 4*g + o + 0 = -1, 2*g + i = -o. Factor g*m + 2/5*m**3 + 0*m**2 + 0.
2*m**3/5
Factor -1/5*r**2 - 6/5*r - 8/5.
-(r + 2)*(r + 4)/5
Let n be ((-24)/(-32))/(3/2). Solve 0*y - 2 + n*y**2 = 0 for y.
-2, 2
Suppose 5*y = 2*q + q - 2, -2*y + 5*q - 16 = 0. Factor 9/4*w**5 - 1/4 - 33/4*w**4 - 15/2*w**y + 9/4*w + 23/2*w**3.
(w - 1)**3*(3*w - 1)**2/4
Let o(f) be the third derivative of 0 - 21/40*f**5 - 27/80*f**6 - 19/48*f**4 - 9/140*f**7 + 0*f - 4*f**2 - 1/6*f**3. Factor o(j).
-(j + 2)*(3*j + 1)**3/2
Let r be 4 + (-3)/(-2) + -5. Factor -1/2*g**3 + 1/2*g**2 + 1/2*g - r.
-(g - 1)**2*(g + 1)/2
Let k(h) be the second derivative 