8*t + 7/12*t**4. Determine u, given that r(u) = 0.
1, 3
Factor -84/11*a + 16/11 - 2*a**2.
-2*(a + 4)*(11*a - 2)/11
Suppose -j + 72 = 4*u, 5*u - j - 37 - 62 = 0. Factor -u*h**5 + 5*h**4 - 3*h**4 + 21*h**5.
2*h**4*(h + 1)
Let i be (156/130 - 1)/((-2)/(-4)). Find y, given that 0*y**2 - 1/5*y**5 - i*y**3 + 3/5*y**4 + 0*y + 0 = 0.
0, 1, 2
Let t(g) be the first derivative of 2*g**5/5 - 4*g**4 - 2*g**3 + 130*g**2 - 400*g + 89. Factor t(z).
2*(z - 5)**2*(z - 2)*(z + 4)
Factor 108*r**2 - 9*r**3 + 17*r**3 - 972*r - 7*r**3 + 2916 - 5*r**3.
-4*(r - 9)**3
Let v(d) = d**2 + 4*d + 7. Let o be 4*((-10)/(-4))/5. Let t(b) = 0 + o*b + 2*b - 2*b**2 + 8 + 3*b**2. Let a(u) = 4*t(u) - 5*v(u). Suppose a(w) = 0. Calculate w.
-3, -1
Let v(n) be the first derivative of 0*n + 10 - 2/25*n**5 - 2/5*n**4 - 2/5*n**2 - 2/3*n**3. Suppose v(d) = 0. Calculate d.
-2, -1, 0
Let z(u) = -8*u - 15*u + 28*u - 12*u - 7 - u**2. Let g be z(-3). Find d such that 16/3*d**3 - g*d - 2/3 - 8*d**2 = 0.
-1/4, 2
Let o(f) be the first derivative of -f**7/735 + f**5/210 - f**2 - 8. Let t(j) be the second derivative of o(j). Factor t(n).
-2*n**2*(n - 1)*(n + 1)/7
Let f(i) be the second derivative of -i**7/168 + 7*i**6/24 - 67*i**5/80 + 11*i**4/16 - 270*i. Factor f(p).
-p**2*(p - 33)*(p - 1)**2/4
Let f(c) be the third derivative of -14*c**2 - 2/245*c**7 + 0 + 1/1176*c**8 - 2/35*c**5 + 0*c**3 + 13/420*c**6 + 0*c + 1/21*c**4. Solve f(a) = 0.
0, 1, 2
Suppose -8 - 8/5*c**2 + 4/5*c**3 - 52/5*c = 0. What is c?
-2, -1, 5
Suppose -2048/11 - 2/11*y**3 - 130/11*y**2 - 2176/11*y = 0. What is y?
-32, -1
Let f(g) be the second derivative of -g**6/45 - g**5/15 + 2*g**4/9 + 8*g**3/9 - 2*g - 196. Determine n, given that f(n) = 0.
-2, 0, 2
Suppose -p = -4*z + 9 + 6, -z - p = 0. Let h(f) be the second derivative of -2*f**3 + 6/7*f**2 + z*f + 0 + 7/4*f**4. Factor h(r).
3*(7*r - 2)**2/7
Let i = -10 - -15. Factor -3*g - i*g - 9*g**2 - 15 - g - 3*g**3 + 12.
-3*(g + 1)**3
Let n = -336738 - -112807441/335. Let v = -2/67 + n. Factor -v*q**2 - 27/5 - 18/5*q.
-3*(q + 3)**2/5
Solve -2 - 46*p + 23*p**2 - 47*p + 95*p + 2 = 0 for p.
-2/23, 0
Factor 1/4*k**3 - 1/4*k**2 - 3/4 - 5/4*k.
(k - 3)*(k + 1)**2/4
Factor 5/2*a**3 + 0*a + 3/4*a**4 - 1/4*a**5 + 0 + 0*a**2.
-a**3*(a - 5)*(a + 2)/4
Let u be (1 + -8)*(-30)/7. Suppose u = 5*h - 2*j - 3*j, h = 4*j + 3. Factor -h + 2*v**2 + 18*v**3 + 3 + 2*v**4 - 12*v**3 - 6*v.
2*(v - 1)*(v + 1)**2*(v + 2)
Let i = 87 - 85. Suppose -12 = -i*c - 10*j + 8*j, 0 = 2*c + j - 9. Let 2*r + c + 1/3*r**2 = 0. Calculate r.
-3
What is x in -5/6*x**4 + 46/3*x**3 - 147/2*x**2 + 0 + 27*x = 0?
0, 2/5, 9
Suppose 147*f = 328 - 34. Find u, given that 2/3*u + 1/6*u**f + 2/3 = 0.
-2
Let w = -190 + 195. Let r(u) be the third derivative of -2*u**2 + 0 - 1/90*u**w - 1/36*u**4 + 1/9*u**3 + 1/180*u**6 + 0*u. Suppose r(c) = 0. What is c?
-1, 1
Let u(g) be the third derivative of -g**6/300 + 16*g**5/75 - 64*g**4/15 + 334*g**2. What is w in u(w) = 0?
0, 16
Suppose 0*r - 18 = -3*r. Factor -1 + 4 - 3*g**3 - r*g**2 + g - 10*g + 15*g**2.
-3*(g - 1)**3
Let r be -1 + 2 + (-7 - -2). Let g be 6/r*12/(-9). Factor 2 - g*l**2 + 3*l + 2 + l - 6*l.
-2*(l - 1)*(l + 2)
Let c(t) be the third derivative of t**6/660 - t**5/165 + 18*t**2. Find v such that c(v) = 0.
0, 2
Let t(v) = -127*v**4 - 1102*v**3 + 305*v**2 + 736*v + 178. Let b(l) = l**4 + l**3 + 2*l + 1. Let i(r) = -2*b(r) - t(r). Let i(m) = 0. Calculate m.
-9, -2/5, 1
Let x(n) = n**5 + n**3 + 2*n**2 - n + 1. Let z(c) = -20*c**5 + 36*c**4 + 20*c**3 - 36*c**2 + 6*c - 6. Let o(f) = 6*x(f) + z(f). Find v, given that o(v) = 0.
-1, 0, 4/7, 3
Let -1/2*t**3 - 1/2*t**2 + 0 + t = 0. Calculate t.
-2, 0, 1
Let d(i) be the first derivative of -i**8/840 + i**6/150 - i**4/60 + 13*i**2/2 - 8. Let l(s) be the second derivative of d(s). Factor l(v).
-2*v*(v - 1)**2*(v + 1)**2/5
Suppose -4*w - 5*z = -4, 2*z - 4 = -4*w + 3*z. Let o(l) = -l**3 - 5*l**2 - 4*l + 2. Let q(t) = -t**3 - t**2 + t - 1. Let j(s) = w*o(s) + 2*q(s). Factor j(a).
-a*(a + 2)*(3*a + 1)
Let x(l) be the second derivative of 2*l**6/45 + 101*l**5/15 + 385*l**4 + 9438*l**3 + 47916*l**2 - 454*l. Factor x(s).
4*(s + 2)*(s + 33)**3/3
Let t be (-24)/21*(-217)/62. Solve 9*f - 9*f**3 - 3 - 21/4*f**t + 33/4*f**2 = 0.
-2, -1, 2/7, 1
Let j(b) = b**2 - 28*b - 125. Let i be j(-4). Factor -1/3*l**i + 0 + l**2 - 2/3*l.
-l*(l - 2)*(l - 1)/3
Let a = -1/366 + 125/1098. Suppose a + 2/9*w + 1/9*w**2 = 0. Calculate w.
-1
Suppose 9*g - 3 = 15. Let k = 6 - 3. Solve 11 + 4*j**k + 20*j - 27 - 20*j**g + 12*j = 0 for j.
1, 2
Let s be (-5 - -3) + -2 - (-21 - -3). Let f be ((-32)/s)/(20/(-14)). Factor -1/5*u**2 - f*u - 16/5.
-(u + 4)**2/5
Let k(p) be the first derivative of -3/20*p**5 - 3*p**2 + 11*p - 6 + 0*p**4 + 3/2*p**3. Let t(v) be the first derivative of k(v). Solve t(u) = 0 for u.
-2, 1
Let f(p) be the third derivative of p**7/70 - 3*p**6/5 + 36*p**5/5 + 67*p**2 + 2*p. Factor f(m).
3*m**2*(m - 12)**2
What is v in 14*v + 10/3*v**2 + 2/9*v**3 + 98/9 = 0?
-7, -1
Let f(k) be the second derivative of k**7/77 + 7*k**6/165 + 3*k**5/110 - k**4/22 - 2*k**3/33 + 40*k + 2. Factor f(p).
2*p*(p + 1)**3*(3*p - 2)/11
Let z(l) be the second derivative of -1/225*l**6 - 4/45*l**3 - 1/10*l**4 + 13*l + 1/25*l**5 + 4/5*l**2 + 0. Solve z(d) = 0 for d.
-1, 2, 3
Let c(f) = -4*f**3. Let q = -5 - 6. Let v = q - -6. Let p(d) = -d**4 - 9*d**3. Let k(r) = v*c(r) + 2*p(r). Find j such that k(j) = 0.
0, 1
Suppose -85*r + 4 = -83*r. Factor 16/3 - 8/3*d + 1/3*d**r.
(d - 4)**2/3
Let m(o) = 9*o**2 - 13*o - 3. Let f(j) be the third derivative of -j**5/12 + 7*j**4/24 + j**3/3 - 11*j**2. Let k(b) = -7*f(b) - 4*m(b). Factor k(g).
-(g - 2)*(g - 1)
Suppose -5*v = -3*b - 22, -5*v - 3*b + 69 = 71. Let 0 + s + 1/2*s**v = 0. What is s?
-2, 0
Solve -1/4*t**2 + 21 - 25/4*t = 0.
-28, 3
Let u(p) be the first derivative of 0*p + 1/3*p**3 + 1/24*p**4 + 38 + 2/3*p**2. Solve u(t) = 0 for t.
-4, -2, 0
Let c be 3 + (-114)/9 + 1/(-3). Let t(n) = -n**2 - 11*n - 8. Let r be t(c). Let -1/2 - 1/2*a**r + a = 0. Calculate a.
1
Let m(v) be the first derivative of 2/21*v**3 + 0*v + v**2 - 5. Factor m(k).
2*k*(k + 7)/7
Let l(h) = -12*h - 42. Let s be l(-4). Let d(t) be the third derivative of -t**2 + 0*t + 0 + 0*t**5 + 0*t**3 + 1/60*t**s - 1/12*t**4. Factor d(k).
2*k*(k - 1)*(k + 1)
Let a be (6 + -1)*(60/(-25))/(-3). Factor -4*z - 8*z**2 + a*z**2 + 3*z**2 + 3 + 2*z**2.
(z - 3)*(z - 1)
Let p(j) be the first derivative of -j**4 + 128*j**3/3 - 122*j**2 + 120*j - 254. Suppose p(v) = 0. What is v?
1, 30
Let w = 225/4 + -1573/28. Let m(z) be the second derivative of 0*z**3 - 9/5*z**5 + 2*z**4 - 11*z + 0 - w*z**7 + 3/5*z**6 + 0*z**2. Factor m(f).
-3*f**2*(f - 2)**3
Let q = -591 - -594. Let z = 262/105 + 6/35. Determine h so that z*h**q + 2/3 - 2*h + 0*h**2 = 0.
-1, 1/2
Factor 3907*t + 4*t**3 - 3907*t - 6*t**2 + 2*t**4.
2*t**2*(t - 1)*(t + 3)
Let x be ((-356)/15 + 6/15)*-2. Let v = 47 - x. Suppose v*o**4 - 2/3*o**3 + 2/3*o - 1/3*o**2 + 0 = 0. Calculate o.
-1, 0, 1, 2
Suppose 4*i + 0*i - 96 = 0. Let q = -111/5 + i. Let 6/5*a + q*a**3 + 21/5*a**2 + 0 = 0. Calculate a.
-2, -1/3, 0
Let z(t) be the first derivative of 4*t**3/3 - 3*t**2/4 - t/4 - 182. Factor z(s).
(2*s - 1)*(8*s + 1)/4
Let r(g) be the third derivative of -1/420*g**5 - 1/84*g**4 - 7*g**2 + 0 + 0*g + 0*g**3 + 1/840*g**6. Factor r(f).
f*(f - 2)*(f + 1)/7
Let 0 - 8*u + 2/7*u**2 = 0. What is u?
0, 28
Let w(c) be the second derivative of c**6/15 + c**5/5 - 2*c**4/3 - 2*c**3/3 + 3*c**2 - 61*c. Let w(q) = 0. What is q?
-3, -1, 1
Let a(q) be the first derivative of -q**4/8 - q**3 - 3*q**2 - 8*q - 6. Let u(k) be the first derivative of a(k). Let u(j) = 0. What is j?
-2
Let z be (27/(-55))/((-2043)/6810). Factor z*q + 0 + 6/11*q**2.
6*q*(q + 3)/11
Factor -6*b**2 + 21*b + 98 - 4*b**2 + 5*b**3 - 2*b**2 + 2*b**3 - 6*b**3.
(b - 7)**2*(b + 2)
Find g such that 4/7*g**3 - 12/7 + 18/7*g**2 + 2*g = 0.
-3, -2, 1/2
Let a(f) be the third derivative of f**5/15 + 13*f**4/2 + 23*f**2 - 7. Solve a(h) = 0.
-39, 0
Let k(a) be the second derivative of a**6/27 + a**5/30 - 2*a**4/9 + 4*a**3/27 + 3*a + 79. Determine d so that k(d) = 0.
-2, 0, 2/5, 1
Suppose 1/2*r**4 - 1/2*r**3 + 0 - 6*r**2 + 0*r = 0. What is r?
-3, 0, 4
Suppose 39 = 5*q + 8*q. Let k(v) be the second derivative of -1/10*v**5 + 0 + 1/3