*2 + 3 + q*o**2 - 6*o**2 + 3*o**4.
3*(o + 1)**4
Let s(q) be the first derivative of -2*q**3/39 + 16*q**2/13 + 34*q/13 - 95. Suppose s(x) = 0. What is x?
-1, 17
Let c(r) = 2*r**2 + 2*r. Let b(k) = -14*k**2 - 22*k - 8. Let j(l) = -b(l) - 6*c(l). Factor j(x).
2*(x + 1)*(x + 4)
Suppose 3*a = -3*j + 12, -4*j = -3*a + 3 - 5. Factor 2*r**5 - a*r**3 - 28*r - 25*r**2 + 3*r**5 + 18*r + 5*r**4 - 13*r**3.
5*r*(r - 2)*(r + 1)**3
Factor -10368/7 - 2/7*l**2 + 288/7*l.
-2*(l - 72)**2/7
Let q(l) be the first derivative of -l**6/320 - l**5/480 + l**4/24 - l**3/12 - 3*l**2/2 - 1. Let f(a) be the second derivative of q(a). Factor f(o).
-(o - 1)*(o + 2)*(3*o - 2)/8
Let g(k) be the second derivative of k**7/84 - k**6/60 - k**5/20 + k**4/12 + k**3/12 - k**2/4 + 114*k. Factor g(d).
(d - 1)**3*(d + 1)**2/2
Let z(c) be the third derivative of 0*c - 1/270*c**5 - 11*c**2 - 2/27*c**3 + 1/36*c**4 + 0. Factor z(i).
-2*(i - 2)*(i - 1)/9
Let k(c) = c - 5. Let u be k(8). Let x be 2/(-7) + 48/21. Factor 4*z**4 + z**5 - 8*z - x*z**5 - z + 2*z**u - 12*z**2.
-z*(z - 3)**2*(z + 1)**2
Let h(c) = c**2 - 25*c - 2292. Let k be h(-37). Factor 1/2*a**k + 1/2*a - 1/2 - 1/2*a**3.
-(a - 1)**2*(a + 1)/2
Let w = 2893/25 - 2176/175. Let u = -103 + w. Let 0 + 0*x - 2/7*x**4 + 4/7*x**2 + u*x**3 = 0. What is x?
-1, 0, 2
Suppose 0 = o + k - 4, -3*o + 0*k = k - 14. Let l = o + -3. Factor -3*a + a - a**3 + l*a**2 + a + 0*a.
-a*(a - 1)**2
Let r be -1 + (1 - -2 - 8) + 11. Let k(o) be the second derivative of 0 - 8/5*o**3 - 32/5*o**2 - 1/100*o**r - 1/5*o**4 + 8*o. Let k(s) = 0. What is s?
-4
Suppose 145*l - 288 = 147. Factor 1/2*p**l + 1 - p**2 - 1/2*p.
(p - 2)*(p - 1)*(p + 1)/2
Let l = 2/5 + 1/5. Let w = -47/30 - -13/6. Factor -2/5 + 1/5*m**4 + l*m + 1/5*m**2 - w*m**3.
(m - 2)*(m - 1)**2*(m + 1)/5
Let f(t) be the third derivative of t**7/105 + 3*t**6/10 - 19*t**5/30 - 6*t**2 - 21*t. Find x such that f(x) = 0.
-19, 0, 1
Let b(j) be the first derivative of -j**5 - 215*j**4/2 - 9245*j**3/3 + 277. Find s such that b(s) = 0.
-43, 0
Let m = 1/153 - -137/2448. Let n(w) be the third derivative of 1/80*w**5 + 0*w**3 - m*w**4 - 12*w**2 + 0*w + 0. Factor n(i).
3*i*(i - 2)/4
Let s(h) be the first derivative of 5*h**3/3 - 45*h + 45. Find x such that s(x) = 0.
-3, 3
Suppose -7*s + 6*s + 3 = 0. Suppose -2 = t + 2*o, -3*o = 3*t - 0 - s. Factor 0*n**3 + 0*n + 2/11*n**t - 2/11*n**2 + 0.
2*n**2*(n - 1)*(n + 1)/11
Let m(d) be the second derivative of 1/36*d**4 + 0*d**2 + 0 + 9*d - 2/9*d**3. Find i such that m(i) = 0.
0, 4
Let v(x) be the second derivative of -x**7/98 + x**6/70 + 3*x**5/70 - 2*x - 25. Factor v(o).
-3*o**3*(o - 2)*(o + 1)/7
Let p(s) = -5*s - 11. Let i be p(-3). Let a(b) be the third derivative of 1/70*b**7 + 0*b**i + 0*b - 3/40*b**6 - 5*b**2 + 1/10*b**5 + 0 + 0*b**3. Factor a(w).
3*w**2*(w - 2)*(w - 1)
Let t(b) be the second derivative of b**9/4536 + b**8/1260 - b**6/270 - b**5/180 + 7*b**3/6 + 11*b. Let c(m) be the second derivative of t(m). Factor c(p).
2*p*(p - 1)*(p + 1)**3/3
Let d(l) be the second derivative of l**4/12 + 62*l**3/3 + 1922*l**2 + l - 60. Factor d(h).
(h + 62)**2
Find y such that -22 - 24*y - 72/11*y**2 = 0.
-11/6
Solve -48*x - 147*x**4 + 8*x**2 + 12*x**3 + 12*x**5 + 15 + 2*x**2 + 13*x**2 + 19*x**2 + 114*x**4 = 0 for x.
-5/4, 1
Let m(r) = -235*r**4 - 55*r**3 + 190*r**2 + 45*r. Let p(f) = -26*f**4 - 6*f**3 + 21*f**2 + 5*f. Let w(a) = -6*m(a) + 55*p(a). Let w(k) = 0. What is k?
-1/2, 0, 1
Suppose 6*z**4 + 2*z**5 + 5*z**2 + 6*z**3 + 11*z**2 - 9*z + 2 - 3*z**5 - 20*z**3 = 0. Calculate z.
1, 2
Let q(t) = t - 1. Let l(r) = -3*r**2 - 42. Let s(f) = l(f) - 18*q(f). Factor s(v).
-3*(v + 2)*(v + 4)
Suppose 89 + 88 - 3*n - n - 145 - n**2 = 0. Calculate n.
-8, 4
Factor 11*r**2 + 151*r**3 + 20 + 12 + 39*r - 150*r**3 + 13.
(r + 3)**2*(r + 5)
Factor -220/9*r**2 - 232/3*r - 16 - 2*r**3.
-2*(r + 6)**2*(9*r + 2)/9
Let g(s) be the first derivative of -192*s + 1/27*s**6 - 160/3*s**3 + 144*s**2 + 92/9*s**4 - 44/45*s**5 + 15. Factor g(r).
2*(r - 6)**3*(r - 2)**2/9
Let f be (15/6)/(25/60). Factor f*h - h**2 - 2 - 3 + 2 - 2.
-(h - 5)*(h - 1)
Let g(y) be the second derivative of y**5/150 + 2*y**4/45 + y**3/15 - 31*y. Let g(w) = 0. Calculate w.
-3, -1, 0
Let y(l) be the second derivative of -2*l**6/75 + 3*l**5/25 + 3*l**4/5 + 2*l**3/3 + 363*l. Suppose y(z) = 0. What is z?
-1, 0, 5
Let v(i) be the third derivative of -i**7/70 - 3*i**6/10 - 9*i**5/5 - 4*i**4 + 2*i**2 + 224*i. Suppose v(t) = 0. What is t?
-8, -2, 0
Solve 338*j + 30*j - 21780 - 98*j - 5*j**2 + 482*j - 92*j = 0 for j.
66
Let j = -64/15 - -143/30. Solve 0 - j*q**2 - 1/4*q**3 + 3/4*q = 0 for q.
-3, 0, 1
Let i(p) be the third derivative of 0*p**4 + 0*p**3 - 1/12*p**6 + 0*p**5 + 0*p + 0 - 1/42*p**7 - 2*p**2. Factor i(l).
-5*l**3*(l + 2)
Let u(w) be the first derivative of w**8/336 - w**7/168 - w**6/24 + 5*w**5/24 - 5*w**4/12 - w**3/3 - 28. Let j(x) be the third derivative of u(x). Factor j(s).
5*(s - 1)**3*(s + 2)
Factor -4/3*j**4 + 0 - 11/3*j**3 - j - 10/3*j**2.
-j*(j + 1)**2*(4*j + 3)/3
Let x be (2 - (-8)/(-4))*-1. Suppose -3*w - 3*z + 6 = -x*z, 0 = -5*w + 5*z + 50. Let -5*c**5 + 0*c**5 + w*c**5 = 0. What is c?
0
Let w(m) be the second derivative of -m**6/105 + m**5/35 + 2*m**4/21 - 8*m**3/21 + 109*m. Let w(l) = 0. Calculate l.
-2, 0, 2
Let q(y) be the second derivative of -y**5/40 - 121*y**4/8 - 14641*y**3/4 - 1771561*y**2/4 - y + 107. Solve q(o) = 0 for o.
-121
Let w(b) be the third derivative of -1/168*b**4 + 0*b + 0*b**3 + 0 - 5*b**2 + 1/420*b**5. Suppose w(h) = 0. What is h?
0, 1
Let j(z) be the first derivative of z**3/3 + 3*z**2 + 9*z - 84. Solve j(k) = 0.
-3
Suppose 22 = 4*t - 2*o, 2*o = 4*t - 2*t - 14. What is p in -2*p**4 + 3*p**5 + 19*p - 19*p - p**t = 0?
0, 1
Let l(m) be the third derivative of -5/6*m**3 + 1/200*m**5 + 0*m**4 - 3*m**2 + 0*m + 1/600*m**6 + 0. Let z(o) be the first derivative of l(o). Factor z(a).
3*a*(a + 1)/5
Suppose -2 = -5*m - 8*w, -3*m + 9 = -2*w - w. Factor 1/3*n**5 - 2/3*n**3 - 1/3*n**4 + 0*n**m + 0 + 0*n.
n**3*(n - 2)*(n + 1)/3
Factor f**2 + 0 - 1/4*f**3 + 21/4*f.
-f*(f - 7)*(f + 3)/4
Let s(n) = -8*n**3 + 12*n**2 + 32*n. Let o(y) = y**3 + 2*y. Let z(d) = -4*o(d) - s(d). Factor z(w).
4*w*(w - 5)*(w + 2)
Suppose -27 = -5*q - 12. Suppose -q*f - 18 = -6*f. Find t, given that 5*t - f*t - 3*t**2 - 2*t = 0.
-1, 0
Let c(b) = -b**3 - b - 1. Let k = -14 - -18. Let v(r) = -5*r**5 - 5*r**4 + 4*r**3 + 4*r + 4. Let h(w) = k*c(w) + v(w). Factor h(s).
-5*s**4*(s + 1)
Let k = -32996 - -32996. Let -2/3*b**3 + k + 1/3*b - 1/3*b**2 = 0. What is b?
-1, 0, 1/2
Let h be (-3)/6*6 + 5. Suppose 1/5*m**3 + 4/5*m**h + 0 + 4/5*m = 0. Calculate m.
-2, 0
Factor -4*x**4 + 2*x**5 + 3*x**3 - 7*x**5 + 0*x**4 - 4*x + 6*x**5 + 4*x**2.
x*(x - 2)**2*(x - 1)*(x + 1)
Let c(h) be the first derivative of -h**4 - 40*h**3/3 - 24*h**2 + 288*h + 4. Find n, given that c(n) = 0.
-6, 2
Solve 10363*w - w**2 - 20734*w - 27 + 10359*w = 0.
-9, -3
Factor -6/19*l - 2/19*l**2 + 0.
-2*l*(l + 3)/19
Let v = 928/5 + -184. Factor 2/5*f**4 + v*f + 0 + 2*f**3 + 16/5*f**2.
2*f*(f + 1)*(f + 2)**2/5
Let s(m) = m**3 + 10*m**2 - 27*m - 20. Let p be s(-12). Suppose -5*f**5 - 15*f**5 - p*f**2 + 24*f**5 + 32*f**3 - 20*f**4 = 0. What is f?
0, 1, 2
Let a(q) be the second derivative of -1/2*q**6 - 1/14*q**7 - 5/2*q**3 - 5/2*q**4 + 0 - 8*q - 3/2*q**2 - 3/2*q**5. Solve a(x) = 0.
-1
Let g = -69 - -73. Factor 4*z**2 - g + 26*z - 6*z + 4.
4*z*(z + 5)
Let k = 14711/33552 + -2/2097. Let u(m) be the first derivative of 25/8*m**2 - m**3 - k*m**4 + 4 - 3/2*m. Factor u(b).
-(b - 1)*(b + 3)*(7*b - 2)/4
Suppose -4*v + 40 = 3*i, 4*i - 28 = -v + 8. Factor 80*n - 20*n**3 - 13 + 7*n**2 - 19 + i*n**4 - 31*n**2.
4*(n - 2)**2*(n + 2)*(2*n - 1)
Let r be ((-210)/(-18) + -12)*-1. Let o = 7/10 + -11/30. Suppose -r - o*f + 1/3*f**2 + 1/3*f**3 = 0. What is f?
-1, 1
Let c(r) be the third derivative of -1/945*r**7 + 0*r**3 + 0*r - 1/108*r**4 + 0 - 17*r**2 - 1/90*r**5 - 1/180*r**6. Factor c(g).
-2*g*(g + 1)**3/9
Let m(a) = -7*a + 3. Let u be m(-5). Let o(g) = 4*g**2 - g - 23. Let t be o(-3). Factor 4*d**3 + 16*d**5 - t*d**4 - u*d + 38*d.
4*d**3*(2*d - 1)**2
Let x(c) = 2*c - 16. Let j be x(9). Suppose -j*n - 10 = -7*n. Solve 0*q - 2/3 + 2/3*q**n = 0.
-1, 1
Suppose 0 = 68*f - 69*f - 2*b + 10, -f + 3*b = 5. Factor -5/2