derivative of v**5/20 + 3*v**4/16 + v**3/6 - 83. Factor q(b).
b**2*(b + 1)*(b + 2)/4
Factor -2/3*j**2 - 2400 - 80*j.
-2*(j + 60)**2/3
Let v be 4/6 + 37/(-74). Let h(d) be the third derivative of 0*d - 1/4*d**4 - v*d**3 + 0 - 3/20*d**5 + 9*d**2. Factor h(u).
-(3*u + 1)**2
Let v(p) be the second derivative of p**4/12 + p**3 + 5*p**2/2 + 7*p - 4. Suppose v(q) = 0. What is q?
-5, -1
Let z(x) = x**3 - 55*x**2 + 3*x + 2756. Let d be z(54). Factor 2/3*u**d + 0 - 8/3*u.
2*u*(u - 4)/3
Let p(d) be the first derivative of d**6/3 - 2*d**5/5 - d**4/2 + 2*d**3/3 + 271. Find g such that p(g) = 0.
-1, 0, 1
Let q be 6/15 + (-18)/(-5). Let u(d) be the first derivative of 0*d + 2/3*d**3 - q - d**2. Factor u(f).
2*f*(f - 1)
Find k, given that 2/5*k**2 - 8/5 + 6/5*k = 0.
-4, 1
Suppose 3*v + 6 = 2*t, 2 = -2*t + 4*t - v. Let j = 4 - t. Factor 2/5*c**j + 1/5*c**3 + 0*c**2 + 0*c + 0 + 1/5*c**5.
c**3*(c + 1)**2/5
Let v = -1647 - -1647. Suppose 2/5*r + 1/5*r**2 - 21/5*r**4 - 22/5*r**3 + v = 0. Calculate r.
-1, -1/3, 0, 2/7
Let v(f) be the third derivative of -f**5/330 - 15*f**4/11 - 2700*f**3/11 - 248*f**2. Factor v(l).
-2*(l + 90)**2/11
Let t be (-483)/(-105) + (-3)/5. Factor -7*k**3 + 149*k**4 - 149*k**t + 5*k**5 + 2*k**3.
5*k**3*(k - 1)*(k + 1)
Find z, given that -z**2 - 3*z**2 - 9 - 4*z**2 + 7*z**2 + 5*z + 3 = 0.
2, 3
Let k(m) be the third derivative of -m**8/336 + m**7/210 + m**6/30 - m**5/15 + 2*m**2 - 39*m. Factor k(q).
-q**2*(q - 2)*(q - 1)*(q + 2)
Suppose 0 = 2*q + 2 - 6. Suppose -3*j = -5*b + 13, 3*j - j = -q. Factor 3 - 2*s - 2 + b*s**2 - 5.
2*(s - 2)*(s + 1)
Let d = 44 + -96. Let h = d + 54. Suppose 1 - 1/2*c**h + 1/2*c = 0. What is c?
-1, 2
Suppose -2*o + 50 = -n, -5*o + 3*n - n + 127 = 0. Let p be (-4)/6 - (-18)/o. Let 0*a + 3/4*a**4 + p - 9/4*a**3 + 0*a**2 = 0. Calculate a.
0, 3
Let f(r) be the first derivative of -3*r**5/20 + 15*r**4/8 + 4*r**3 - 87*r**2/4 + 99*r/4 + 246. Solve f(h) = 0.
-3, 1, 11
Let p(g) = -18*g**2 + 1. Let m be p(1). Let r = -13 - m. Factor 2*d**3 + d**3 + 3*d**r + 0*d**2 - 3*d**5 - 3*d**2 + 0*d**3.
-3*d**2*(d - 1)**2*(d + 1)
Let b be 2 - (20/(-15))/(-1). Let z(i) be the first derivative of 1/2*i**2 - 1/6*i**6 + 2/5*i**5 - 5 + 0*i - b*i**3 + 0*i**4. Factor z(n).
-n*(n - 1)**3*(n + 1)
Let r(p) be the first derivative of 1/17*p**2 + 0*p + 2/51*p**3 + 10. What is w in r(w) = 0?
-1, 0
Suppose 0 = r + 3*s - 15, -3*r + 2*s = -r - 6. Suppose 0 = -g + 5, -r*z + 14 = -4*z + 2*g. Suppose 2/15*y + 4/15 - 2/15*y**z = 0. Calculate y.
-1, 2
Let f(t) be the second derivative of -t**6/270 + t**4/18 - 4*t**3/27 + t**2/6 - 46*t. Factor f(u).
-(u - 1)**3*(u + 3)/9
Let t(o) be the first derivative of o**4/10 - 28*o**3/15 - 4*o**2 + 240*o + 46. Factor t(p).
2*(p - 10)**2*(p + 6)/5
Let q(f) = 4*f**2 - 96*f - 118. Let p(a) = a**2 + 6*a - 1. Let b(h) = -3*p(h) + q(h). Solve b(o) = 0 for o.
-1, 115
Let p(l) be the third derivative of -l**6/48 - 3*l**5/8 - 25*l**4/12 - 5*l**3 + 45*l**2 + 7. Factor p(f).
-5*(f + 1)*(f + 2)*(f + 6)/2
Let m(q) be the second derivative of -1/10*q**5 + 0 + 3/2*q**4 - 32*q + 0*q**2 + 0*q**3. Factor m(h).
-2*h**2*(h - 9)
Let w be ((-15)/9)/(4/(-24)) + -3. Determine f, given that 3*f - 2*f + 12*f**2 + 4*f**3 + w*f = 0.
-2, -1, 0
Let z(m) be the first derivative of m**8/1344 + m**7/280 + m**6/240 - 17*m**2/2 - 7. Let c(s) be the second derivative of z(s). Find u, given that c(u) = 0.
-2, -1, 0
Let q(o) be the second derivative of 0*o**3 + 0*o**2 + 0 + 0*o**5 - 2/21*o**4 + 1/105*o**6 + 47*o. Factor q(s).
2*s**2*(s - 2)*(s + 2)/7
Let h(m) be the second derivative of m**8/336 - m**7/210 - m**6/60 - 5*m**2 - 32*m. Let n(l) be the first derivative of h(l). Factor n(v).
v**3*(v - 2)*(v + 1)
Let f(a) be the third derivative of -21*a**2 + 0*a - 5*a**4 + 0 + 40/3*a**3 + 3/4*a**5 - 1/24*a**6. Factor f(k).
-5*(k - 4)**2*(k - 1)
Let m be (-1 - (1 - -1))*255/(-153). Let z(v) be the first derivative of 0*v + 0*v**2 + 1/20*v**m + 1/16*v**4 + 0*v**3 - 7. Let z(a) = 0. Calculate a.
-1, 0
Let v(p) be the first derivative of p**6/60 - p**4/8 + p**3/6 - 5*p - 8. Let x(c) be the first derivative of v(c). Factor x(b).
b*(b - 1)**2*(b + 2)/2
Let b = -170 - -173. Let x(g) be the third derivative of 0*g + 8/3*g**b + 1/15*g**5 + 6*g**2 + 2/3*g**4 + 0. Suppose x(w) = 0. What is w?
-2
Let m(b) be the third derivative of b**6/60 + 19*b**5/10 + 261*b**4/4 - 841*b**3/3 + 31*b**2. Determine h so that m(h) = 0.
-29, 1
Let c(x) be the third derivative of -x**8/224 - 2*x**7/35 - 3*x**6/16 + x**5/10 + 5*x**4/4 - 207*x**2. Find v, given that c(v) = 0.
-5, -2, 0, 1
Let c = 4 - 2. Let x be 5 + 1060/(-40) - -22. Determine p, given that 3/4*p**5 - x*p**3 + 3/2*p**c - 5/4*p**4 - 1/4 - 1/4*p = 0.
-1, -1/3, 1
Let r(i) = 2*i**3 - 52*i**2 + 56*i - 24. Let l(p) = 3*p**2 + p - 1. Let y(z) = 6*l(z) + r(z). Let y(j) = 0. What is j?
1, 15
Suppose 4*v - 3*b = 3*v + 2, 3*b = -2*v - 5. Let r be ((-2)/v)/(6*(-4)/(-24)). Factor -1/6*l**r + 0*l + 1/6.
-(l - 1)*(l + 1)/6
Let v be (-6468)/4344 - (-3 + 2). Let g = 2/181 - v. Find o such that -1/2 + 3/2*o - 3/2*o**2 + g*o**3 = 0.
1
Let a = -4946 - -4948. Solve -1/2*v**a + 0 - 11/4*v**3 - 4*v**4 - 7/4*v**5 + 0*v = 0.
-1, -2/7, 0
Let d be ((-18)/(-10))/(((-24)/(-3))/520). Let j = 117 - d. Factor -2/15*c**3 + 0*c + j - 4/15*c**2.
-2*c**2*(c + 2)/15
Suppose -v - 5*l + 31 - 7 = 0, 4*v = -5*l + 96. Let c be (v/(-9))/(3*2/(-9)). Factor 8/13*q**c + 6/13*q + 20/13*q**2 + 0 + 22/13*q**3.
2*q*(q + 1)**2*(4*q + 3)/13
Suppose 12*i = 95*i - 145 - 21. Factor -5/2*u + 5 - 5/2*u**i.
-5*(u - 1)*(u + 2)/2
Let i(o) be the third derivative of 0*o - 4/5*o**3 + 0 - 11*o**2 - 3/50*o**5 + 1/200*o**6 + 3/10*o**4. Determine g, given that i(g) = 0.
2
Let y be ((-8)/10)/((-30)/25). Let j be (-10)/((-780)/38) - 4/26. Find p such that 2/3*p**2 - j*p - y + 1/3*p**3 = 0.
-2, -1, 1
Let k(q) be the first derivative of -2*q**3/9 + 59*q**2 - 93. Let k(d) = 0. Calculate d.
0, 177
Let n(k) be the third derivative of 0*k**4 + 1 + 0*k - 9*k**2 + 1/1470*k**7 + 0*k**3 - 3/280*k**6 + 0*k**5. Determine f, given that n(f) = 0.
0, 9
Let c(j) be the first derivative of -3*j**5/80 - j**4/32 + j**3/12 + 9*j**2/2 - 9. Let h(y) be the second derivative of c(y). Factor h(x).
-(3*x - 1)*(3*x + 2)/4
Let t(o) be the first derivative of 28 - 20/3*o**3 - 5/6*o**6 + 0*o**2 - 2*o**5 + 0*o + 35/4*o**4. Let t(c) = 0. Calculate c.
-4, 0, 1
Factor 140/3*v + 980/3 + 5/3*v**2.
5*(v + 14)**2/3
Let b(x) be the third derivative of x**7/42 + x**6/3 + 5*x**5/12 - 35*x**4/12 + 2*x**2 + 26. Factor b(c).
5*c*(c - 1)*(c + 2)*(c + 7)
Factor 0*j**2 + 24/7*j**4 - 4/7*j**3 + 4*j**5 + 0 + 0*j.
4*j**3*(j + 1)*(7*j - 1)/7
Let k(f) = 5*f**3 - 3*f**2 - 8*f + 2. Let p(t) be the first derivative of 51*t**4/4 - 10*t**3 - 81*t**2/2 + 21*t - 19. Let l(h) = 21*k(h) - 2*p(h). Factor l(g).
3*g*(g - 2)*(g + 1)
Let g(j) be the second derivative of 3*j**5/10 - 5*j**4/6 - 2*j**3/3 - 5*j - 4. Factor g(h).
2*h*(h - 2)*(3*h + 1)
Let u(w) be the third derivative of w**8/3360 - w**7/840 - w**6/720 + w**5/120 + 10*w**3/3 + w**2. Let c(g) be the first derivative of u(g). Factor c(v).
v*(v - 2)*(v - 1)*(v + 1)/2
Let k(a) be the second derivative of -a**6/7 + 13*a**5/70 + 16*a**4/21 + 4*a**3/21 - 162*a. Solve k(p) = 0.
-1, -2/15, 0, 2
Let c(d) be the second derivative of -8*d**3 + 0 + 1/15*d**6 + 16*d**2 + 1/6*d**4 + 3/5*d**5 - 20*d. Factor c(m).
2*(m - 1)**2*(m + 4)**2
Let d = 544611/13 - 42036. Let r = 143 + d. Find j such that 2/13*j**3 + 6/13*j**2 - 4/13*j**5 + 0 + r*j - 6/13*j**4 = 0.
-1, -1/2, 0, 1
Factor -10/7*b + 2/7*b**2 + 0.
2*b*(b - 5)/7
Let s(q) = -q**4 - q**3 + q**2 - q. Let y(l) = -4*l**4 - 3*l**3 + 4*l**2 - 7*l. Let m be 10 + -5 + (1 + 0 - 1). Let i(j) = m*s(j) - y(j). Factor i(r).
-r*(r - 1)*(r + 1)*(r + 2)
Let o be (-60)/(-400)*(35/(-15) - -4). Determine w so that -o*w**2 + 0 + 1/2*w + 1/4*w**5 + 1/4*w**4 - 3/4*w**3 = 0.
-2, -1, 0, 1
Suppose 12*g**3 + 14*g**3 - 53*g**3 - 230*g + 29*g**3 - 24*g**2 + 252 = 0. What is g?
-7, 1, 18
Let a(m) be the first derivative of -m**7/42 - m**6/10 - m**5/10 + m**4/6 - 10*m**3/3 + 15. Let l(g) be the third derivative of a(g). Factor l(z).
-4*(z + 1)**2*(5*z - 1)
Let v(i) be the second derivative of i**6/180 - i**5/20 - 19*i**4/72 + 2*i**3/3 - 661*i + 1. Find d, given that v(d) = 0.
-3, 0, 1, 8