9
Let w(q) be the second derivative of -11*q**4/16 - q**3/24 + 300*q. Factor w(m).
-m*(33*m + 1)/4
Let f(q) be the third derivative of 1/30*q**4 + 0*q**3 + 1/350*q**7 + 0 + 0*q + 1/600*q**6 - 2/75*q**5 - 15*q**2. Factor f(s).
s*(s - 1)*(s + 2)*(3*s - 2)/5
Let l(n) be the third derivative of -9*n**8/784 + 177*n**7/490 + 127*n**6/140 - 19*n**5/70 - 85*n**4/56 + 3*n**3/2 + 304*n**2. Solve l(i) = 0 for i.
-1, 1/3, 21
Let s be 100/6 + -1 - (-4)/(-6). Suppose -s = -3*b - 9. Factor 4/7*u + 2/7*u**b + 2/7.
2*(u + 1)**2/7
Suppose -4*z = -5*z + 2. Suppose 3 = z*c - 1. Factor f + 0*f**2 - 5*f + 21*f**c - 2*f.
3*f*(7*f - 2)
Suppose -46*t + 12 = -44*t - 3*j, -5*t + 13 = j. Solve 0 - 2/3*c**4 + 1/3*c**t + 1/3*c**5 + 0*c + 0*c**2 = 0 for c.
0, 1
Let v(i) = 2*i + 6. Let l be v(3). Factor -39 + 7*c**2 + l*c - 4*c**2 + 27 - 3*c**3.
-3*(c - 2)*(c - 1)*(c + 2)
Factor 2/9*t**4 + 1568/9*t + 140/3*t**2 + 686/3 + 16/3*t**3.
2*(t + 3)*(t + 7)**3/9
Let z = -2/41 + 53/246. Let b(h) be the first derivative of 1/3*h**2 + 2/27*h**3 + 2/45*h**5 - z*h**4 + 2 - 4/9*h. Determine m so that b(m) = 0.
-1, 1, 2
Let y be -32 + 92745/2808 + 4/(-26). What is m in y*m**2 - 13/4*m - 1 = 0?
-2/7, 4
What is i in 22/5*i + 23/5 - 1/5*i**2 = 0?
-1, 23
Let x(b) be the third derivative of -b**7/490 + b**6/40 + 9*b**5/70 - 27*b**4/14 - 108*b**3/7 + 2*b**2 - 94*b. Find s, given that x(s) = 0.
-3, -2, 6
Let d(p) be the third derivative of -p**9/13608 - p**8/3780 - p**7/3780 - p**3/3 - 9*p**2. Let z(t) be the first derivative of d(t). Solve z(c) = 0.
-1, 0
Let -2/7*f**2 + 8/7*f + 0 = 0. Calculate f.
0, 4
Let c(s) be the first derivative of -s**4/5 - 724*s**3/5 - 196566*s**2/5 - 23718964*s/5 - 40. Factor c(b).
-4*(b + 181)**3/5
Let y be (-14)/(-8) + 10*14/560. Let c(v) be the first derivative of 9 + 1/6*v + 1/18*v**3 - 1/6*v**y. Solve c(i) = 0.
1
Let f(n) = 2*n**2 + 8*n + 11. Let m(v) be the first derivative of 2*v**3/3 + 4*v**2 + 12*v - 15. Let w(i) = 6*f(i) - 5*m(i). Let w(q) = 0. What is q?
-3, -1
Let l(q) be the third derivative of 2*q**3 + 1/20*q**5 + 0 + 24*q**2 + 0*q + 1/2*q**4. Factor l(m).
3*(m + 2)**2
Let v be 2 - (1 + 1) - 32/(-16). Suppose -3*x - v*j = -8, 8*x + 3*j - 6 = 5*x. Suppose 0 + 0*h - 6*h**3 + 4/3*h**2 + 14/3*h**x = 0. What is h?
0, 2/7, 1
Factor -54/7*b + 54/7*b**2 - 10/7*b**3 - 54/7.
-2*(b - 3)**2*(5*b + 3)/7
Let j(w) = -100*w**3 - 145*w**2 + 80*w - 110. Let t(s) = -11*s**3 - 16*s**2 + 9*s - 12. Let i(a) = 6*j(a) - 55*t(a). Solve i(v) = 0.
-3, 0, 1
Let b(n) = -4*n**5 + 3*n**4 + 3*n**3 + 3*n**2 - 3. Let p(j) = -20*j**5 + 16*j**4 + 16*j**3 + 16*j**2 - 16. Let r(v) = 16*b(v) - 3*p(v). Factor r(h).
-4*h**5
Suppose -5 = 4*x - 17. Factor -6*q**4 + 4*q**3 - 4*q + 5*q**2 + 2*q**5 + q**2 + 3*q**x - 5*q**3.
2*q*(q - 2)*(q - 1)**2*(q + 1)
Let c = 3/34 - -5/136. Suppose c + 1/8*n**2 - 1/4*n = 0. Calculate n.
1
Suppose -10 = f - 4*q, 2*f = -f + 5*q - 2. Suppose 4*v - v - 3*k = f, 3*v + k - 10 = 0. Let 0*g - 2/11*g**v + 2/11*g**2 - 4/11*g**4 + 0 = 0. What is g?
-1, 0, 1/2
Let d(j) be the first derivative of -5*j**7/42 + j**6/3 - j**5/4 - 3*j + 12. Let o(u) be the first derivative of d(u). What is t in o(t) = 0?
0, 1
What is j in 0 + 8/5*j - 2/5*j**2 = 0?
0, 4
Let c(p) = 8*p**2 - 8*p. Let y be c(1). Let t = -3 - -5. Suppose -29*z**3 + 7 + y + 4*z**4 - 3 + 5 + 67*z**t - 51*z = 0. What is z?
1/4, 1, 3
Let w = -5 + 11. Factor 4*a**2 + w + 7*a**2 + 9*a - 3*a**3 - 11*a**2.
-3*(a - 2)*(a + 1)**2
Let c(w) be the first derivative of -w**7/480 + w**6/160 - w**5/240 - 2*w**3/3 + 5. Let z(q) be the third derivative of c(q). Find t, given that z(t) = 0.
0, 2/7, 1
Let m = -46/19 + 2357/950. Let h(s) be the second derivative of -m*s**5 + 4/15*s**4 - 7/15*s**3 + 2*s + 0 + 2/5*s**2. Let h(d) = 0. What is d?
2/3, 1
Let k(m) = 2*m**2 + 6*m - 36. Let y(h) = 3*h**2 + 14*h - 72. Let q(o) = 5*k(o) - 3*y(o). Factor q(r).
(r - 6)**2
Solve -8207 + 3634 + 1307*u + 1032*u + 361*u - 8927 - 180*u**2 + 4*u**3 = 0.
15
Let f = -4/361 - -4384/4693. Let h(p) = p + 7. Let y be h(-5). Suppose -2/13*s**y - 18/13 - f*s = 0. What is s?
-3
Suppose 40*b = 42*b - 4. Let p(x) be the third derivative of 0 + 0*x + 10*x**b - 1/48*x**4 - 1/6*x**3 + 1/120*x**5. Let p(f) = 0. Calculate f.
-1, 2
Let b(j) = 3*j**2 - 12*j + 23. Let z(f) = -4*f**2 + 13*f - 22. Let d = -23 + 26. Let n(s) = d*b(s) + 2*z(s). Factor n(w).
(w - 5)**2
Factor 36*d**3 + 24*d**4 + 4*d**5 - 232*d + 232*d + 16*d**2.
4*d**2*(d + 1)**2*(d + 4)
Suppose 401850 + 18*t**4 - 401850 - 48*t**3 - 123*t**2 - 18*t - 39*t**3 = 0. Calculate t.
-1, -1/6, 0, 6
Let g(w) = -w**2 + w + 1. Let d(s) = 18*s - 52. Suppose 1 - 5 = -2*j. Let f be 3 + (-1)/(-2)*-4. Let o(n) = f*d(n) + j*g(n). Factor o(y).
-2*(y - 5)**2
Factor 0*u + 0 + 2/11*u**5 + 0*u**4 + 0*u**2 - 2/11*u**3.
2*u**3*(u - 1)*(u + 1)/11
Suppose 0 = -3*s - 4*m + 6 + 1, -3*s + m = -17. Let q(r) = 3*r - 11. Let d be q(s). Solve i**d + 2/3*i + 0 + i**2 - 8/3*i**3 = 0 for i.
-1/3, 0, 1, 2
Let i(l) be the first derivative of 1/21*l**6 + 0*l**2 - 1/14*l**4 + 9 - 2/35*l**5 + 2/21*l**3 + 0*l. Let i(r) = 0. Calculate r.
-1, 0, 1
Factor -44/5*w + 2/5*w**2 + 42.
2*(w - 15)*(w - 7)/5
Let g be (-6)/(-14)*(-10)/(-15). Let t be 38/(-7) + 138/23. Factor t*d**2 - 5/7*d - 1/7*d**3 + g.
-(d - 2)*(d - 1)**2/7
Let h(a) be the third derivative of -18*a**2 - 3/2*a**3 + 1/10*a**5 + 0*a + 5/8*a**4 + 0. Suppose h(u) = 0. What is u?
-3, 1/2
Let z = 1614 + -1614. Factor 0 + 1/4*j**5 + z*j**4 + 0*j**2 + 0*j + 0*j**3.
j**5/4
Let p(c) be the third derivative of 0*c + 1/10*c**4 + 6*c**2 + 0 + 1/3*c**3 + 1/150*c**5. Suppose p(q) = 0. Calculate q.
-5, -1
Determine a so that -270*a - 10/3*a**4 + 2*a**5 - 126 + 300*a**2 - 220/3*a**3 = 0.
-7, -1/3, 3
Let c = -3787 + 3787. Let -2/3*k + 1/3*k**5 + 1/3*k**3 - k**2 + k**4 + c = 0. Calculate k.
-2, -1, 0, 1
Let k(v) be the first derivative of 3*v**4/34 - 14*v**3/51 + 5*v**2/17 - 2*v/17 - 281. Determine t so that k(t) = 0.
1/3, 1
Let v(l) be the third derivative of 5*l**2 + 73/600*l**5 + 0 + 43/300*l**6 + 44/525*l**7 + 7/120*l**4 + 2/105*l**8 + 0*l + 1/60*l**3. Factor v(b).
(b + 1)**2*(4*b + 1)**3/10
Suppose -2*y = -5*u - 17, -2*y - 11 = -y + 4*u. Let f be ((-4)/10)/(y/(-10)). Solve -3*j**5 + 2*j**f + 11*j**3 - 8 - 19*j + j**5 - j**3 + 3*j - 2*j**2 = 0.
-1, 2
Let k be (-504)/60*(-10)/33. Factor 6/11*h**4 + 0 + 16/11*h + k*h**3 + 40/11*h**2.
2*h*(h + 2)**2*(3*h + 2)/11
Let z(l) = -2*l + 5*l**3 - 3*l**4 + 2*l**2 + 0*l**2 - 4*l**3 + 0*l**3. Let j(h) = h**3 - h**2 + h. Let i(t) = -2*j(t) - z(t). Factor i(x).
3*x**3*(x - 1)
Suppose 0 = -360*s + 2*s - 95*s. Factor -3/2*z**3 - z**2 + s - 1/2*z**4 + 0*z.
-z**2*(z + 1)*(z + 2)/2
Let k = 45 - 31. Factor 16*x**3 - 5 + k*x**2 + 288*x + 69 + 118*x**2.
4*(x + 4)**2*(4*x + 1)
Let g(k) be the first derivative of -3*k**5/40 + 39*k**4/16 - 9*k**3 + 105*k**2/8 - 69*k/8 - 216. Factor g(n).
-3*(n - 23)*(n - 1)**3/8
Let t(u) be the second derivative of u**7/28 - 19*u**6/120 + 3*u**5/80 + u**4/2 - u**3/6 - 86*u. Let t(f) = 0. What is f?
-1, 0, 1/6, 2
Let v(f) = 2*f**2 + 7*f + 11. Let l be v(-3). Factor 336 + l*w - 8*w**2 + 2*w**3 - 336.
2*w*(w - 2)**2
Let i(t) = 7*t + 26. Let v be i(-3). Let s be 4*v/20 + (-1)/(-2). Factor -9/2*w**3 + 0*w - s*w**5 + 9/2*w**4 + 0 + 3/2*w**2.
-3*w**2*(w - 1)**3/2
What is u in 3*u**2 - 3*u**5 + 6*u**3 - 14*u**4 - 14*u**4 - 3*u + 9*u**2 - 10 + 22*u**4 + 4 = 0?
-2, -1, 1
Let g(v) be the first derivative of -1/11*v**4 + 2/11*v - 2/55*v**5 + 2/11*v**2 + 0*v**3 + 11. Factor g(o).
-2*(o - 1)*(o + 1)**3/11
Let h(i) be the third derivative of i**5/150 - 31*i**4/15 + 3844*i**3/15 + 236*i**2 + i. Factor h(t).
2*(t - 62)**2/5
Let z(w) = -w**3 + 12*w**2 - 2*w + 26. Let v be z(12). Let c = 391/721 + 3/103. Factor -10/7*x**v - 2*x - c.
-2*(x + 1)*(5*x + 2)/7
Let m(j) = -8*j - 23. Let p be m(-4). Suppose p*l = -8*l + 12*l. Factor l*z**3 + 1/4*z**4 - 1/4*z**2 + 0 + 0*z.
z**2*(z - 1)*(z + 1)/4
Let b(w) be the second derivative of -w**4/84 - 2*w**3/7 - 27*w**2/14 + 104*w. Let b(z) = 0. Calculate z.
-9, -3
Let m = 2560 + -7679/3. Let l(o) be the third derivative of -1/30*o**5 - m*o**4 - 4/3*o**3 + 0*o + 9*o**2 + 0. Suppose l(v) = 0. What is v?
-2
Let j = -1306 + 1307. Factor -4/3*b + 1/3*b**2 + j.
(b - 3)*(b - 1)/3
Let r(v) be the first derivative of 0*v + 1/6*v**3 - 1/2*v**2 +