derivative of 0*m + 7 - 4/3*m**3 + 3/2*m**4 + 0*m**2 - 2/5*m**t. Let j(d) = 0. Calculate d.
0, 1, 2
Let j(p) = -p**3 - 17*p**2 + 26*p + 442. Let a be j(-17). Factor a - 1/2*y**4 - 1/2*y**2 + 0*y - 5/4*y**3.
-y**2*(y + 2)*(2*y + 1)/4
Let g be 2/7 - 12/(-7). Let l = -93 + 98. Factor -4*m**2 + 2*m**l - 6*m**4 + 8*m**2 + g - 6*m + 0*m**2 + 4*m**3.
2*(m - 1)**4*(m + 1)
Let j(a) be the second derivative of -a**4/18 + 4*a**3/9 - a**2 - 34*a + 1. Factor j(z).
-2*(z - 3)*(z - 1)/3
Suppose 5*l - 9 = 2*l. Let z(t) be the third derivative of -1/15*t**l + 2/75*t**5 + 1/40*t**4 + 1/200*t**6 - 3*t**2 + 0*t + 0. Find c, given that z(c) = 0.
-2, -1, 1/3
Let c be (1 + -3 + (-2 - -5))*0. Let g(p) be the second derivative of 0*p**2 - 1/20*p**5 + c - 1/6*p**4 + 3*p - 1/6*p**3. Factor g(d).
-d*(d + 1)**2
Let y(r) be the third derivative of -8*r**8/21 + 128*r**7/105 - 22*r**6/15 + 14*r**5/15 - 17*r**4/48 + r**3/12 - 52*r**2 - 2. Factor y(j).
-(j - 1)*(4*j - 1)**4/2
Let t(d) be the first derivative of -14*d**3/51 - 240*d**2/17 - 8*d - 210. Factor t(h).
-2*(h + 34)*(7*h + 2)/17
Find x such that 3/4*x**2 + 15/2*x + 12 = 0.
-8, -2
Factor 0 + 9/5*a**4 + 3*a**2 + 0*a - 27/5*a**3 + 3/5*a**5.
3*a**2*(a - 1)**2*(a + 5)/5
Let l(m) be the second derivative of 0*m**4 - 3/5*m**6 - 21/20*m**5 + 0*m**2 - 23*m + 0 + 1/2*m**3. Let l(s) = 0. Calculate s.
-1, -1/2, 0, 1/3
Let n(t) = -2*t - 8. Let w be n(-5). Find l, given that -20 + 3*l**w - 12 + 26 - 3*l = 0.
-1, 2
Factor 1/7 + 3/7*j + 3/7*j**2 + 1/7*j**3.
(j + 1)**3/7
Let v(h) = -30*h**2 - 25*h + 5. Let m(b) = b**3 - 22*b**2 + 21*b - 1. Let n be m(21). Let c(f) = -f**2 - f. Let k(a) = n*v(a) + 25*c(a). Solve k(l) = 0.
-1, 1
Let b = -593 - -597. Let q(u) be the first derivative of 0*u**2 + 10 - 4/3*u**3 - u**b + 0*u. Let q(p) = 0. What is p?
-1, 0
Let v = -46734/11 + 4250. Solve v*q - 14/11*q**2 + 2/11*q**3 + 32/11 = 0.
-1, 4
Suppose 2*o - 1550 = 2*r, 0 = 2*o + 4*r - 2095 + 527. Solve 778 - 3*p**2 - p - o - 2*p**2 = 0 for p.
-1/5, 0
Let u(l) be the third derivative of l**5/510 - 4*l**4/51 + 5*l**3/17 - 3*l**2 - 42. Let u(k) = 0. Calculate k.
1, 15
Let u be 1/4 + (-105)/(-28). Factor 23*o - 1 - 10*o - o**2 - 7*o - u*o.
-(o - 1)**2
Let w(n) be the first derivative of n**4/16 - 7*n**2/8 - 3*n/2 - 36. Determine p so that w(p) = 0.
-2, -1, 3
Factor -7/2*y - 49/4 - 1/4*y**2.
-(y + 7)**2/4
Let l(g) be the first derivative of -g**6/3240 - g**5/1080 + g**3/3 + 15. Let y(p) be the third derivative of l(p). Factor y(s).
-s*(s + 1)/9
Let s(x) be the first derivative of -5*x**3/12 + 85*x**2/8 + 73. Let s(b) = 0. Calculate b.
0, 17
Let i(g) = -55*g - 1043. Let x be i(-19). Factor -22/5*y + 18/5*y**x + 4/5.
2*(y - 1)*(9*y - 2)/5
Solve 0 + 1/4*v**2 + 173/4*v = 0.
-173, 0
Factor -5*b**2 - 11*b - 82 + 71*b + 27.
-5*(b - 11)*(b - 1)
Let c(w) be the third derivative of -1/24*w**4 + 0*w - 1/30*w**5 - 1/30*w**3 - 1/1680*w**8 - 6*w**2 - 1/210*w**7 - 1/60*w**6 + 0. Find r such that c(r) = 0.
-1
Let y(z) be the first derivative of z**4/14 + 20*z**3/7 + 225*z**2/7 + 24. Factor y(i).
2*i*(i + 15)**2/7
Let h = -140 + 142. Suppose -h*w = o + 2, -o - 3*o = -2*w - 2. Suppose -1/5*c**4 + 3/5*c**3 + 0*c**2 + 0*c + o = 0. What is c?
0, 3
Let u(n) be the third derivative of 3/10*n**5 + 0 + 2/3*n**3 + 0*n - 11/12*n**4 - 2*n**2. Solve u(w) = 0 for w.
2/9, 1
Let b = -9529/9 + 1059. Determine c, given that -2/3*c**2 + 0 + 4/9*c - b*c**3 + 2/3*c**4 - 2/9*c**5 = 0.
-1, 0, 1, 2
Solve 103/4*h - 15/2 + 7/4*h**2 = 0 for h.
-15, 2/7
Let u(d) be the third derivative of -1/150*d**5 + 0*d + 3*d**2 + 0*d**3 + 0 - 1/60*d**4. Find o such that u(o) = 0.
-1, 0
Find x, given that -144*x**2 - 6*x**5 - 2819*x**4 - 114*x**3 + 2791*x**4 + 4*x**5 = 0.
-8, -3, 0
Let d(f) be the second derivative of f**7/6300 - f**6/450 + f**5/100 + 7*f**4/6 - 16*f. Let k(p) be the third derivative of d(p). Let k(z) = 0. What is z?
1, 3
Let k = 7261/33 - 659/3. Factor -10/11*l**2 - 2/11*l**4 + 8/11*l**3 + k*l + 0.
-2*l*(l - 2)*(l - 1)**2/11
Let s be -1*(-4 + (-8 - 3)). Determine u, given that -9 - 3*u**3 + 0*u - s*u - 15*u**2 - 6*u = 0.
-3, -1
Let w be (-16)/(0 + (-110)/(-1385)). Let t = -200 - w. Factor 32/11 + 2/11*p**2 + t*p.
2*(p + 4)**2/11
Let s be (-74)/(-312) - (-112)/(-728). Let o(i) be the third derivative of 0 + 0*i**3 + 1/60*i**6 - s*i**4 - 1/30*i**5 - i**2 + 0*i + 1/105*i**7. Factor o(r).
2*r*(r - 1)*(r + 1)**2
Find j, given that 0 + 71/3*j**2 - j**3 + 1/3*j**5 - 46/3*j - 23/3*j**4 = 0.
-2, 0, 1, 23
Let z(m) be the third derivative of -m**8/20160 - m**7/2520 + 3*m**5/20 - 2*m**2. Let y(q) be the third derivative of z(q). Let y(l) = 0. What is l?
-2, 0
Let w = -281 - -844/3. Let g(c) be the third derivative of 1/5*c**5 + 1/105*c**7 - 2*c**2 + 1/15*c**6 + 0*c + w*c**4 + 0 + 1/3*c**3. Factor g(s).
2*(s + 1)**4
Let f(g) be the second derivative of g**6/60 + 3*g**5/20 + g**4/2 + 2*g**3/3 - 96*g. Factor f(z).
z*(z + 2)**3/2
Find g such that -400/7*g + 260/7*g**3 - 40/7*g**5 + 12*g**4 - 312/7*g**2 - 96/7 = 0.
-2, -1/2, -2/5, 2, 3
Let a(y) be the first derivative of y**6/3 + 28*y**5/5 + 33*y**4/2 + 113. What is j in a(j) = 0?
-11, -3, 0
Let a be 1 + (0 - (-9)/3). Suppose 1 - 1 + 6*p**3 + 4*p - 4*p**4 + a*p**2 - 10*p**3 = 0. What is p?
-1, 0, 1
Let i(k) be the third derivative of 0 + 1/6*k**3 + 10*k**2 - 1/15*k**5 + 0*k + 1/8*k**4. Suppose i(u) = 0. What is u?
-1/4, 1
Let t(g) be the second derivative of 18*g - 3*g**2 - 1/6*g**4 + 4/3*g**3 + 0. What is a in t(a) = 0?
1, 3
Determine j, given that -26/3 - 29/3*j**3 - 79/3*j - 27*j**2 - 1/3*j**4 = 0.
-26, -1
Suppose 7*g = 3*g + o - 1, -g - 4 = -o. Let f be (-4*(-46)/12)/g. Suppose -32/3*n + 2*n**4 + 8/3 - 28/3*n**3 + f*n**2 = 0. What is n?
2/3, 1, 2
Let d(y) = -27*y**2 + 396*y - 13860. Let t(i) = 2*i**2 + i - 1. Let v(o) = -d(o) - 12*t(o). Factor v(a).
3*(a - 68)**2
Let l(b) be the first derivative of 2*b**5/45 + 4*b**4/9 - 2*b**3/9 - 22*b**2/9 + 32*b/9 - 97. Factor l(x).
2*(x - 1)**2*(x + 2)*(x + 8)/9
Let n(p) be the first derivative of -2*p**5/55 + 8*p**3/33 + 23. Factor n(m).
-2*m**2*(m - 2)*(m + 2)/11
Suppose -3*g = 4*t - 122, -3*t + 5*g = -0*g - 106. Let l = t - 30. Factor 0 + 1/3*j**3 + 0*j + 1/3*j**l.
j**2*(j + 1)/3
Let c(x) be the third derivative of -x**5/210 - x**4/12 + 3*x**2 + 2. Solve c(s) = 0.
-7, 0
Suppose -7*m = m - 32. Suppose -531 - 8*t**4 + 531 - 16*t**2 - m*t**5 + 28*t**3 = 0. What is t?
-4, 0, 1
Let m be (12/27)/((-4)/(-18)). Let y(u) be the third derivative of -1/20*u**5 + 0 + 8*u**m + 0*u + 1/8*u**4 + 0*u**3. Solve y(r) = 0.
0, 1
Factor -70 - 22*o - 30*o - 13*o**2 - 10*o**2 + 28*o**2 - 13*o.
5*(o - 14)*(o + 1)
Suppose 0 = k + 3*a - 9, 5*k = -a + 12 + 5. Let h(d) be the second derivative of 0 + 1/5*d**2 - 7*d + 0*d**k + 0*d**5 - 1/15*d**4 + 1/75*d**6. Solve h(p) = 0.
-1, 1
Factor -2/9*o**3 + 10/9*o**2 - 2 - 2/3*o.
-2*(o - 3)**2*(o + 1)/9
Factor 9*r + r - 3*r - 6 - 3*r + 2*r**2.
2*(r - 1)*(r + 3)
Let x(i) be the third derivative of -i**7/80 + 3*i**6/80 - i**5/40 - 5*i**3/6 - 8*i**2. Let w(h) be the first derivative of x(h). Let w(f) = 0. Calculate f.
0, 2/7, 1
Let -96337 - 2464*b - 4*b**2 - 167752 - 265816 + 150449 = 0. What is b?
-308
Let f be (-9)/((-243)/(-6)) - (-272)/144. Let r(h) be the first derivative of 4/3*h + 14 + 2/3*h**3 - f*h**2. Factor r(n).
2*(n - 1)*(3*n - 2)/3
Let t(o) be the second derivative of 5*o**4/12 - 5*o**3/3 + 2*o. Factor t(h).
5*h*(h - 2)
Suppose 2*p = 5*p - 18. Suppose 5*i = 26 - p. Suppose 2/3*f + 0 - 2/3*f**3 + 2*f**2 - 2*f**i = 0. What is f?
-1, -1/3, 0, 1
Factor -159*c**3 + 34*c**2 + 291*c**3 + 4*c**4 - 2*c**2 - 16*c - 152*c**3.
4*c*(c - 2)**2*(c - 1)
Let w = 13/6 + -2. Let y(o) be the third derivative of -17/15*o**5 + 0*o + w*o**6 + 0*o**3 + 0 - 6*o**2 + o**4. Solve y(k) = 0.
0, 2/5, 3
Let z(p) be the second derivative of 3*p**5/40 - 7*p**4/8 + 11*p**3/4 - 15*p**2/4 - 15*p + 3. Factor z(d).
3*(d - 5)*(d - 1)**2/2
Let i = 22 - 19. Suppose -5*v = -5*g + 35, 0 = 2*g + 2*v - i*v - 10. Factor 63 - 2*x**4 + 4*x**g - 63.
-2*x**3*(x - 2)
Let a be ((-190)/(-48))/19*12/200. Let i(y) be the second derivative of -1/12*y**3 - y + 0 - a*y**5 + 0*y**2 - 1/16*y**4. Find w such that i(w) = 0.
-2, -1, 0
Let j(a) = -1. Let l(k) = -k**2 - k - 3. Let c(p) = -p**3 + 4*p**2 - p + 1. Let f be c(4). Let z(b) = f*j(b) + l(b). F