rivative of p(b). Suppose i(y) = 0. What is y?
0, 7
Let z(j) = 9*j**2 - 14*j. Let o = -63 - -67. Let f(p) = -10*p**2 + 15*p. Let n(g) = o*f(g) + 5*z(g). Let n(x) = 0. Calculate x.
0, 2
Suppose -3*a - 8 - 90 = 2*p, 4*p = 4*a + 144. Let y = a - -69/2. Factor 0*f**2 - 1/2*f + 0 + y*f**3.
f*(f - 1)*(f + 1)/2
Let u = -4 + 9. Factor -2*r**u + 47*r - 4*r**2 - 45*r + 3*r**4 + r**4.
-2*r*(r - 1)**3*(r + 1)
Let r(t) be the third derivative of t**7/315 - 7*t**6/180 + t**5/6 - t**4/4 - t**2 - 2*t. Factor r(a).
2*a*(a - 3)**2*(a - 1)/3
Let h(w) be the first derivative of w**5/15 - 2*w**4 + 24*w**3 + 7*w**2 - 33. Let c(y) be the second derivative of h(y). Factor c(l).
4*(l - 6)**2
Let i be (-1)/3*(-9)/(45/10). Let b(j) be the second derivative of -i*j**4 + 5/3*j**3 + 0 - j**2 - j. Factor b(x).
-2*(x - 1)*(4*x - 1)
Let c(h) be the second derivative of h**4/3 + 8*h**3/3 - 24*h**2 + 2*h - 16. Factor c(g).
4*(g - 2)*(g + 6)
Let f(t) = -2*t + 1. Let o be f(3). Let q = 8 + o. Factor -3*m**2 + 0*m**2 + q + 5*m - 2*m - 3*m**3.
-3*(m - 1)*(m + 1)**2
Let r(c) be the second derivative of -c**7/56 - 3*c**6/20 + 3*c**5/80 + 3*c**4/8 + 11*c + 1. Solve r(g) = 0.
-6, -1, 0, 1
Let p(c) be the first derivative of 1 + 1/5*c**4 + 72/5*c - 6/5*c**2 - 16/15*c**3. Solve p(q) = 0.
-2, 3
Let n be (308/8)/7 + 15/(-30). Let c(m) be the first derivative of -1/6*m**4 + 2/3*m**3 + 4/3*m + 5/3*m**2 + 4 - 2/15*m**n. Factor c(q).
-2*(q - 2)*(q + 1)**3/3
Let g(t) be the first derivative of 2/45*t**5 + 1/27*t**6 + 0*t - 20 + 0*t**2 - 2/27*t**3 - 1/18*t**4. Factor g(u).
2*u**2*(u - 1)*(u + 1)**2/9
Let b be 6/(-33) - 5/((-165)/72). Suppose b*a - 19 = -5*c, -5*c + a = -a - 11. Suppose -2*x**c + 4/3 + 1/3*x**4 - 4*x + 13/3*x**2 = 0. What is x?
1, 2
Suppose -3*k = 129 - 21. Let z be (-4)/6 + (-148)/k + -3. Factor -2/9*g**3 + 4/9*g**2 + 2/9*g - z.
-2*(g - 2)*(g - 1)*(g + 1)/9
Suppose -20*l + 70 = -6*l. What is c in 6/11*c**4 - 4/11*c**2 - 2/11*c**l - 2/11 + 6/11*c - 4/11*c**3 = 0?
-1, 1
Let s(y) be the second derivative of -y**7/98 - y**6/35 + y**4/14 + y**3/14 - 475*y. Let s(h) = 0. Calculate h.
-1, 0, 1
Let s(o) be the first derivative of 0*o**3 - 1/390*o**5 - 1/780*o**6 + 2*o**2 + 0*o + 0*o**4 - 3. Let t(m) be the second derivative of s(m). Factor t(h).
-2*h**2*(h + 1)/13
Let i = -1 + -5. Let o be (-2)/i - (-4)/(-12). Determine r so that -16*r + 11*r**3 + 3*r**2 + 1 - 4*r**4 - 5 + o = 0.
-1, -1/4, 2
Suppose 14/15*o**3 + 2/15*o**4 + 0*o - 2/3*o**2 - 2/5*o**5 + 0 = 0. Calculate o.
-5/3, 0, 1
Let 165 + 26 - l**2 + 152 - 745*l + 407 - 4*l**2 = 0. Calculate l.
-150, 1
Let j(i) be the second derivative of 1/54*i**4 - 1/27*i**3 + 0 + 4*i + 0*i**2. Factor j(g).
2*g*(g - 1)/9
Let d be 3 + -2 - (7 + 0 - 6). Let u(a) be the third derivative of -3*a**2 + d + 0*a + 1/30*a**5 + 1/2*a**4 + 3*a**3. Let u(j) = 0. What is j?
-3
Suppose -6*p = -5*p - 5. Factor p*h**4 + 2*h**3 - 9*h**2 - 6*h**4 + 8*h**2.
-h**2*(h - 1)**2
Let n(w) be the first derivative of -w**3/7 - 93*w**2/14 + 96*w/7 + 188. Factor n(h).
-3*(h - 1)*(h + 32)/7
Let v(i) be the first derivative of 0*i - 3/2*i**2 - 1/3*i**3 - 20. Factor v(c).
-c*(c + 3)
Let j(s) be the second derivative of s**4/90 - 31*s**3/45 + 2*s**2 - 259*s. Factor j(m).
2*(m - 30)*(m - 1)/15
Suppose -45*i + 1400 = -17*i. Let s = i - 48. Factor 1/3*u**s - 2/3 + 1/3*u.
(u - 1)*(u + 2)/3
Factor -44/7*p + 208/7 - 2/7*p**2.
-2*(p - 4)*(p + 26)/7
Let i(k) = 5*k**3 + 23*k**2 + 93*k + 69. Let l(j) = 9*j**3 + 47*j**2 + 187*j + 139. Let b(g) = 10*i(g) - 6*l(g). Factor b(c).
-4*(c + 1)*(c + 6)**2
Let q(u) = -u**2 - 765*u + 3850. Let v be q(5). Find i, given that -3/2*i**3 - 1/2*i**4 - i**2 + v*i + 0 = 0.
-2, -1, 0
Let y(s) be the first derivative of -s**3/9 + 4*s/3 + 62. Factor y(z).
-(z - 2)*(z + 2)/3
Let t(o) be the first derivative of o**9/8568 + o**8/2040 + o**7/1428 + o**6/3060 - 14*o**3/3 - 11. Let x(h) be the third derivative of t(h). Factor x(l).
2*l**2*(l + 1)**2*(3*l + 1)/17
Let p(o) be the third derivative of -o**6/480 + o**5/240 + o**4/48 + 111*o**2. Factor p(d).
-d*(d - 2)*(d + 1)/4
Factor -8*a + 3 + 5*a**3 - 3*a**3 + 494*a**2 - 491*a**2 + 0.
(a - 1)*(a + 3)*(2*a - 1)
Suppose -18*u + 8*u + 10 = 0. Let v be 3 + -2 - (-3)/(-5)*u. Factor -4/5*i**3 - i + v - 11/5*i**2.
-(i + 1)*(i + 2)*(4*i - 1)/5
Let c(q) be the first derivative of 1/15*q**5 - 1/12*q**4 + 5/6*q**2 - 1/3*q**3 + 2 - 2/3*q. Factor c(m).
(m - 1)**3*(m + 2)/3
Let n(z) = -3*z**3 + 23*z**2 - 22*z + 4. Let b(f) = -35*f**3 + 275*f**2 - 265*f + 50. Let v(y) = 2*b(y) - 25*n(y). Factor v(o).
5*o*(o - 4)*(o - 1)
Let u(g) be the first derivative of 40 + 1/6*g**3 - 1/24*g**4 + 0*g - 1/6*g**2. Factor u(w).
-w*(w - 2)*(w - 1)/6
Let q(l) be the third derivative of 0*l + 1/3*l**3 + 13*l**2 - 5/24*l**4 - 1/120*l**6 + 1/15*l**5 + 0. Find m such that q(m) = 0.
1, 2
Let d be 8 + -4 - (-6 + 2). Let b(j) = j - 5. Let h be b(d). Factor 5*g - h*g - 2*g**2 + 2*g**4 - 2*g**2 + 2*g**4 - 2*g**5.
-2*g*(g - 1)**3*(g + 1)
Let 11*d**3 - 5*d**3 - 4*d**4 + 3*d**5 - 11*d**4 + 18*d**3 - 12*d**2 = 0. Calculate d.
0, 1, 2
Let q(u) be the first derivative of 2/5*u**5 - 1/6*u**6 + 0*u**4 + 0*u + 1/2*u**2 - 2/3*u**3 + 5. Factor q(m).
-m*(m - 1)**3*(m + 1)
Let y be 72/20 - 3 - 29/(-16240)*-16. Factor 8/7*z**4 + 8/7*z**3 - 4/7 - y*z**2 - 10/7*z + 2/7*z**5.
2*(z - 1)*(z + 1)**3*(z + 2)/7
Factor -204*k - 6*k**3 - 100 + 3*k**3 - 108*k**2 + 0*k**3 - 7*k**3 + 6*k**3.
-4*(k + 1)**2*(k + 25)
Let g(b) = -11*b**2 - 34*b - 1. Let p be g(-3). Let f(x) be the first derivative of -2/3*x**3 + x**p + 1/6*x**4 - 2/3*x - 3. Find y such that f(y) = 0.
1
Let i(a) be the third derivative of -a**5/420 - a**4/7 - 22*a**3/21 + 144*a**2. Suppose i(d) = 0. Calculate d.
-22, -2
Let i(w) = 3*w**2 - 63*w + 60. Let k(j) = 10 - 18*j + j**2 + 7 + 0. Let s(t) = 5*i(t) - 18*k(t). Factor s(v).
-3*(v - 2)*(v - 1)
Let j(a) be the first derivative of a**4 - 8*a**3/3 - 6*a**2 + 74. Suppose j(b) = 0. What is b?
-1, 0, 3
Find q, given that -4/9*q**3 - 76/9*q - 34/9*q**2 - 10/3 = 0.
-5, -3, -1/2
Let f(c) be the third derivative of 4/105*c**7 - 1/6*c**4 + 0*c + 1/84*c**8 + 0 - 2/15*c**5 + 0*c**6 + 3*c**2 + 0*c**3. Factor f(d).
4*d*(d - 1)*(d + 1)**3
Let i(n) = -3*n + 19. Let m be i(8). Let f be -2 + (-18)/m + (-8)/(-20). Factor -9/2*c**4 + 0*c + 0 - 3/2*c**3 - 1/6*c**f - 9/2*c**5.
-c**2*(3*c + 1)**3/6
Suppose 21*v - 27 = 15. Let m(k) be the first derivative of 0*k**4 - v*k**3 - 2 + 3*k + 0*k**2 + 3/5*k**5. Factor m(f).
3*(f - 1)**2*(f + 1)**2
Let l(x) be the first derivative of x**6/3 - 9*x**5/5 + 13*x**4/4 - 2*x**3 - 196. Find s such that l(s) = 0.
0, 1, 3/2, 2
Let 3*f**2 - 5/2*f**5 + 11*f**4 + 0 + 0*f - 23/2*f**3 = 0. What is f?
0, 2/5, 1, 3
Factor -5*t**2 + 78*t - 30 - 157*t + 54*t.
-5*(t + 2)*(t + 3)
Suppose 0*l = -5*l + 2*d + 46, -4*l + d + 35 = 0. Solve -2*c**3 - 10*c + 3*c**3 - 23*c**2 + l + 24*c**2 = 0 for c.
-4, 1, 2
Suppose x = -4*y - 0*y - 2, -4*x - 5*y = -14. Let t(i) = -i**2 + i - 4. Let p(r) = r**2 + 5. Let f(q) = x*t(q) + 4*p(q). Suppose f(z) = 0. Calculate z.
1, 2
Let g(t) be the second derivative of -3/7*t**2 - 1/28*t**4 - 3/14*t**3 + 0 + 26*t. Factor g(z).
-3*(z + 1)*(z + 2)/7
Let t(g) be the third derivative of -11*g**9/15120 + 13*g**8/5040 - g**7/630 + g**5/60 - 26*g**2. Let b(v) be the third derivative of t(v). Factor b(q).
-4*q*(q - 1)*(11*q - 2)
Suppose 0 = 5*l - 10. Let 3*p**2 - 20*p - p**2 + 3*p**l = 0. What is p?
0, 4
Let k = 184/81 - -1628/567. Factor 2/7*g**2 + 162/7 - k*g.
2*(g - 9)**2/7
Let r = 64994/15 - 4329. Let f = -18/5 + r. Factor f - 4/3*b**3 + 3*b**2 - 2*b.
-(b - 1)**2*(4*b - 1)/3
Let p = -27 - -31. Let d(b) be the first derivative of 0*b**3 + 1/6*b**p - 5 - 1/3*b**2 + 0*b. Find x, given that d(x) = 0.
-1, 0, 1
Factor 60*u + 3/2*u**2 - 123/2.
3*(u - 1)*(u + 41)/2
Let h be 7093/60 + 2 + (-14)/21. Let f = -579/5 + h. Factor -s**2 + 1 - f*s.
-(s + 4)*(4*s - 1)/4
Suppose 1295 + 41*r - 2*r**3 + 53*r - 44*r**2 - 1343 = 0. What is r?
-24, 1
Let g(b) be the first derivative of 7*b**6/150 - 3*b**5/10 + 29*b**4/60 - b**3/5 + 26*b - 15. Let i(z) be the first derivative of g(z). Factor i(a).
a*(a - 3)*(a - 1)*(7*a - 2)/5
Let v = -3/1564 + 6271/7820. Let z = 58 + -286/5. Determine f so that -2/5*f**3 - v + 2/5*f + z*f**2 = 0.
-1, 1, 2
Factor 42 + 66*s + 9/2*s**2.
3*(s + 