late u.
-2, 0, 1
Let l(o) = -o**4 + 4*o**3 + 34*o**2 + 36*o + 19. Let z(p) = p**4 + p**3 + p**2 - p + 1. Let f(n) = l(n) - 4*z(n). Find s, given that f(s) = 0.
-1, 3
Let c = 243/826 + -1/118. Let b be 0/((-2)/(-3 - -4)). Factor -c*a - 2/7*a**2 + b.
-2*a*(a + 1)/7
Suppose 4*i - 3*q - 14 = 0, 0 = 3*i + q + 2*q - 21. Suppose i*a - 3*a = 12. Factor 3*d**4 - d**3 + 1 - 2*d**4 - 4*d - d**3 - 2*d**3 + a*d**2.
(d - 1)**4
Let c(l) be the third derivative of -2*l**7/21 - l**6/5 + 4*l**5/15 + l**4 + 2*l**3/3 + 45*l**2. Let c(x) = 0. What is x?
-1, -1/5, 1
Let m(a) be the first derivative of -a**5/4 + 15*a**4/8 - 25*a**3/12 - 26. Factor m(j).
-5*j**2*(j - 5)*(j - 1)/4
Suppose 375 = -3*u - 2*u. Let q be u/27 - 1*-3. Factor 2/9*y**2 - 2/9 - 2/9*y**3 + q*y.
-2*(y - 1)**2*(y + 1)/9
Let a(h) = -2*h + 18. Let d be a(8). Let f be (10 - 4)/(21/d). Factor 0 + 2/7*v**2 - f*v.
2*v*(v - 2)/7
Let c(j) = -j**3 - 5*j**2 - j - 2. Let y be c(-5). Let g(w) be the second derivative of 0*w**y + 0*w**5 - 2*w + 1/15*w**6 + 0*w**2 - 1/6*w**4 + 0. Factor g(r).
2*r**2*(r - 1)*(r + 1)
Let z(k) be the third derivative of k**8/80640 - k**7/20160 - k**5/10 + 4*k**2. Let u(i) be the third derivative of z(i). Factor u(p).
p*(p - 1)/4
Let v(x) be the second derivative of -x**7/630 + x**6/180 - x**4/36 + x**3/18 - 3*x**2 + x. Let q(n) be the first derivative of v(n). Factor q(g).
-(g - 1)**3*(g + 1)/3
Suppose 13 + 17 = -5*q. Let n be (-2)/q - 5/(-3). Factor 0*a - 2/7*a**n + 2/7.
-2*(a - 1)*(a + 1)/7
Suppose 3*r - 6 = 3. Suppose 0 = i + 2, 0 = f + i + r - 1. Let -1/4*q**4 - 1/4*q**2 + 1/2*q**3 + 0 + f*q = 0. What is q?
0, 1
Find a such that -2/7*a**4 + 0 + 0*a + 6/7*a**3 - 4/7*a**2 = 0.
0, 1, 2
Let z(o) = -2*o**3 - 8*o**2 - 13*o - 4. Let c(q) = -10*q**3 - 40*q**2 - 64*q - 20. Let n(h) = 3*c(h) - 14*z(h). Find p such that n(p) = 0.
-2, -1
Let q(y) be the first derivative of -3/4*y**4 + 0*y**2 + 0*y**5 + 1/6*y**6 + 2 - 2/3*y**3 + 0*y. Factor q(h).
h**2*(h - 2)*(h + 1)**2
Solve 27*a**4 - 2*a**3 - 8*a**3 + 6*a + 16*a**3 - 27*a**2 - 12*a**5 = 0 for a.
-1, 0, 1/4, 1, 2
What is t in 84*t**2 - 45*t**3 - 38*t**3 - 24*t - 9*t**3 + 27*t**4 + 2*t**3 = 0?
0, 2/3, 2
Let c(b) be the second derivative of b**4/28 + b**3/14 - 3*b**2/7 - b. Determine q so that c(q) = 0.
-2, 1
Suppose 2*b + 3*b = 10. Let u(l) be the second derivative of -1/84*l**7 + 0 - 1/12*l**3 - 1/60*l**6 + 1/20*l**5 + 1/12*l**4 - 1/4*l**2 - b*l. Factor u(n).
-(n - 1)**2*(n + 1)**3/2
Let d(f) be the first derivative of 1 - 108/5*f**5 - 2*f**2 + 0*f - 45/2*f**4 - 63/8*f**6 - 32/3*f**3. Solve d(x) = 0 for x.
-2/3, -2/7, 0
Let v(l) = l + 2. Let s be v(4). Let z = 10 - s. Solve z*h**2 + h**3 + 5*h - 1 + 2 + 1 = 0 for h.
-2, -1
Let m(v) = -v**4 + v**3 + v**2 - v. Let l(r) = -10*r**4 - 11*r**3 + 4*r**2 + 5*r. Let n(i) = l(i) - m(i). Find x, given that n(x) = 0.
-1, 0, 2/3
Let y(o) be the third derivative of 5*o**2 + 0*o**3 + 0*o - 1/60*o**5 + 0 + 1/240*o**6 + 1/48*o**4. Factor y(z).
z*(z - 1)**2/2
Let p(x) = 4*x**2 - 6*x. Let j(g) = -17*g**2 + 23*g. Let u = 6 - 15. Let t(n) = u*p(n) - 2*j(n). What is k in t(k) = 0?
0, 4
Let l be 5*((-39)/15 - -3). Let c(b) be the second derivative of -1/10*b**5 - 1/6*b**4 + 0*b**2 + 0*b**3 + l*b + 0. Factor c(x).
-2*x**2*(x + 1)
Let v = 61/212 + -2/53. Factor 3/4*b**3 - 3/4*b + 1/2*b**4 - v - 1/4*b**2.
(b - 1)*(b + 1)**2*(2*b + 1)/4
Suppose 5*g - g = 12. Suppose -g = -0*o - o. Factor 4/5*q**2 + 0 + 1/5*q - 1/5*q**o - 4/5*q**4.
-q*(q - 1)*(q + 1)*(4*q + 1)/5
Let x(p) be the first derivative of -p**6/21 + 6*p**5/35 - 3*p**4/14 + 2*p**3/21 + 2. Factor x(l).
-2*l**2*(l - 1)**3/7
Let y(k) be the first derivative of k**5/45 + 5*k**4/9 + 14*k**3/3 + 98*k**2/9 - 343*k/9 + 43. Solve y(v) = 0 for v.
-7, 1
Let f be (-1)/((-7)/29) + (-63)/21. Solve -8/7*i + 2/7*i**2 + f = 0.
2
Factor -2 + 4/3*r - 2/9*r**2.
-2*(r - 3)**2/9
Let u be 14*2/45 + 4/(-18). Determine h, given that -2/5*h**3 + 0 - u*h - 4/5*h**2 = 0.
-1, 0
Let p(m) be the second derivative of 0 + 1/20*m**4 - 3/5*m**2 - 4*m + 1/10*m**3. Factor p(f).
3*(f - 1)*(f + 2)/5
Let p(a) = -5*a**4 - 24*a**3 + 96*a**2 - 45*a - 11. Let w(h) = h**4 + 5*h**3 - 19*h**2 + 9*h + 2. Let s(g) = 4*p(g) + 22*w(g). Factor s(x).
2*x*(x - 1)**2*(x + 9)
Suppose 4*a = -0*a + 12. Factor h + 3*h**3 - h**2 - 2*h**3 + a*h**2.
h*(h + 1)**2
Factor 0 + 3/4*k**4 + 1/4*k**3 + 1/4*k**5 - 1/2*k - 3/4*k**2.
k*(k - 1)*(k + 1)**2*(k + 2)/4
Suppose 4*q - 3*q - 6 = 0. Let x(a) be the third derivative of 0*a**4 - 2*a**2 + 0*a**3 - 1/180*a**q + 0 + 0*a + 1/90*a**5. Determine y, given that x(y) = 0.
0, 1
Let x(w) be the first derivative of -5 - 3/2*w**5 + 3*w**4 - 1/2*w**3 - 3/2*w**2 + 0*w. Factor x(u).
-3*u*(u - 1)**2*(5*u + 2)/2
Let c(v) = v**2 - v - 1. Let n be c(2). Let d be -2*(-3)/(3/n). Factor -d + z**2 + z + 3 + z.
(z + 1)**2
Let h(r) = -686*r**3 - 588*r**2 - 162*r - 16. Let y(c) = -686*c**3 - 588*c**2 - 163*c - 16. Let j(z) = -5*h(z) + 6*y(z). Find x, given that j(x) = 0.
-2/7
Let t(m) be the third derivative of m**8/112 - m**6/40 + m**2. Suppose t(a) = 0. Calculate a.
-1, 0, 1
Let x(g) be the first derivative of 0*g + 4*g**2 + 6 + 2*g**4 + 20/3*g**3. Find q such that x(q) = 0.
-2, -1/2, 0
Let q(m) be the third derivative of -m**5/300 - m**4/30 - 2*m**3/15 + 3*m**2. Let q(p) = 0. What is p?
-2
Let k be 29/14 - 8/14. Factor -1/2*m**2 + 0 + 0*m - 1/2*m**5 - k*m**4 - 3/2*m**3.
-m**2*(m + 1)**3/2
What is m in 0 + 0*m + 1/2*m**3 + 1/2*m**2 = 0?
-1, 0
Let x be (9/(-12))/(-3 + (-87)/(-32)). Determine t so that 10/3*t - x*t**3 - 2/3*t**5 + 4/3 - 8/3*t**4 + 4/3*t**2 = 0.
-2, -1, 1
Let a(b) be the third derivative of b**6/480 - b**5/48 - b**4/16 + 3*b**2. Factor a(v).
v*(v - 6)*(v + 1)/4
Let o = -70 + 141/2. Determine z so that -1/4*z**3 + 0*z + 1/2*z**2 - o*z**4 + 0 + 1/4*z**5 = 0.
-1, 0, 1, 2
Let t(z) = z**3 - 5*z**2 + 5*z - 2. Let k be t(4). Let r(c) be the first derivative of -1/6*c**k + 1/9*c**3 - 1/3*c + 1/12*c**4 + 1. Factor r(a).
(a - 1)*(a + 1)**2/3
Let t(s) be the second derivative of -s**4 - s**3 + 2*s**2 - 4*s. Let u(h) = -25*h**2 - 11*h + 9. Let w(j) = 5*t(j) - 2*u(j). Factor w(z).
-2*(z + 1)*(5*z - 1)
Let n(k) be the third derivative of k**5/10 - k**4/12 - 2*k**2. Let u(x) = -5*x**2 + x. Let a(w) = 3*n(w) + 4*u(w). Determine v so that a(v) = 0.
-1, 0
Let h(b) be the first derivative of -25*b**5/2 + 25*b**4/8 + 5*b**3/6 - b**2/4 - 14. Factor h(s).
-s*(5*s - 1)**2*(5*s + 1)/2
Let x(r) be the first derivative of -4*r**5/5 - 2*r**4 + 4*r**3 + 10. Factor x(g).
-4*g**2*(g - 1)*(g + 3)
Let k be (-3)/(-108) - 6/(-27). Factor 0 + 0*o - k*o**5 + 0*o**2 + 1/4*o**3 + 0*o**4.
-o**3*(o - 1)*(o + 1)/4
Factor 2/11*t**4 + 0*t + 2/11*t**2 + 4/11*t**3 + 0.
2*t**2*(t + 1)**2/11
Let c(g) be the third derivative of g**8/6720 + g**7/2520 - g**4/24 + g**2. Let h(q) be the second derivative of c(q). Determine j so that h(j) = 0.
-1, 0
Let k(t) be the third derivative of -t**6/540 + 11*t**5/270 - 13*t**4/36 + 5*t**3/3 + 5*t**2. Solve k(h) = 0 for h.
3, 5
Factor 8/11*j**2 - 2/11*j**3 + 0 + 0*j.
-2*j**2*(j - 4)/11
Let g(v) be the third derivative of -1/60*v**6 - 1/126*v**7 - 3*v**2 - 1/1008*v**8 + 1/90*v**5 + 7/72*v**4 + 1/6*v**3 + 0*v + 0. Factor g(j).
-(j - 1)*(j + 1)**3*(j + 3)/3
Suppose -1 + 7 = 3*t. Let m be t/(34/10 + -3). Solve 0*a + 0 - 4/3*a**m + 0*a**2 - a**4 + 1/3*a**3 = 0.
-1, 0, 1/4
Let j(i) be the second derivative of i**7/420 + i**6/90 + i**5/60 - i**3 - 3*i. Let y(l) be the second derivative of j(l). Factor y(o).
2*o*(o + 1)**2
Suppose 4*a = -0*t + t + 4, 5*a = 2*t + 5. Let u = 0 - t. What is j in -1/4*j**2 + 0 + u*j - 1/2*j**3 - 1/4*j**4 = 0?
-1, 0
Let p(u) be the first derivative of -1/25*u**5 - 1/10*u**2 - 2 + 1/15*u**3 + 0*u + 1/20*u**4. What is f in p(f) = 0?
-1, 0, 1
Let j(s) = -s + 2. Let f be j(4). Let v(b) = 3 + b**2 + 0 - 2. Let o(n) = 4*n**2 + 3. Let u(q) = f*o(q) + 6*v(q). Solve u(h) = 0.
0
Let t(h) be the first derivative of 3*h**5/5 - 3*h**4/2 - 12*h**3 - 21*h**2 - 15*h - 14. Factor t(m).
3*(m - 5)*(m + 1)**3
Let b(l) be the third derivative of l**6/900 + l**5/225 + 17*l**2. Factor b(k).
2*k**2*(k + 2)/15
Let g(n) be the second derivative of n**4/20 - 8*n**3/5 + 96*n**2/5 - 15*n. Factor g(t).
3*(t - 8)**2/5
Suppose 35/6*o + 11/6*o**2 + 25/6 + 1/6*o**3 = 0. What is o?
-5, -1
Let w(p) be the 