4/11 + 2/11*v - 2/11*v**h = 0.
-1, 2
Let m(t) be the third derivative of -t**6/24 - 5*t**5/18 - 5*t**4/18 - 8*t**3/3 - 12*t**2. Let l(u) be the first derivative of m(u). Solve l(o) = 0.
-2, -2/9
Let v(n) be the first derivative of n**4/4 - 4*n**3/3 - 15*n**2/2 + 18*n - 106. Determine y, given that v(y) = 0.
-3, 1, 6
Let w(z) be the first derivative of 32/27*z**3 - 4/9*z**2 - 4/45*z**5 - 5/6*z**4 + 0*z + 5/27*z**6 + 12. Solve w(u) = 0 for u.
-2, 0, 2/5, 1
Let h be (-96)/352 + 31/33. Factor 0 - h*p**2 + 2*p.
-2*p*(p - 3)/3
Let q = 57306 - 57270. Suppose q*d**3 - 8*d**2 + 40/3 - 124/3*d = 0. Calculate d.
-10/9, 1/3, 1
Let u(i) be the second derivative of 0 - 2/105*i**7 + 0*i**2 - 1/5*i**5 - 2/15*i**4 + 0*i**3 - 8/75*i**6 + 15*i. Factor u(y).
-4*y**2*(y + 1)**2*(y + 2)/5
Let k(b) = b**2 - 6*b + 6. Let m be k(3). Let y be ((-2)/m*-39)/(-1). Find z such that -2*z**3 - 4*z**2 - y + 2*z - z**4 + 4*z**4 + 27 = 0.
-1, -1/3, 1
Let q(c) = -c**2 + c + 1. Let s(t) = -52*t**2 - 2*t + 2. Let z(d) = -4*q(d) + 2*s(d). Factor z(w).
-4*w*(25*w + 2)
Suppose -30 = -2*o - 4*o. Let p be ((-1)/(-5) - 0)/(2/o). Let p*a**3 + 0*a**2 + 1/4*a**4 + 0*a + 0 = 0. Calculate a.
-2, 0
Let z(n) = 48*n**3 - 20*n**2 + 2*n. Let o(v) = -47*v**3 + 18*v**2 - 3*v. Let x(g) = 2*o(g) + 3*z(g). Solve x(c) = 0.
0, 12/25
Let z(k) be the third derivative of 0 - 1/4*k**5 + 0*k - 250/3*k**3 - 25/4*k**4 - 35*k**2 - 1/240*k**6. Determine u so that z(u) = 0.
-10
Suppose 9*h = 5*v + 11*h - 8, -8 = -3*v - 2*h. Solve -2/9*g**5 + 0*g**2 + v - 4/9*g**4 + 0*g + 2/3*g**3 = 0.
-3, 0, 1
Factor 27*g**2 - 47*g**2 + 144 - 16*g + 368*g.
-4*(g - 18)*(5*g + 2)
Let l(u) = -8*u**2 + 40*u + 4. Let q be l(5). Factor 0 - 3/4*i**2 - 1/2*i + 0*i**3 + 1/4*i**q.
i*(i - 2)*(i + 1)**2/4
Solve 1/2*r + 37/8*r**3 + 11*r**2 + 0 - 129/8*r**4 = 0.
-2/3, -2/43, 0, 1
Factor 2/7*a**2 + 12168/7 + 312/7*a.
2*(a + 78)**2/7
Let i = -28 + 32. Suppose 3*f + 2 = i*f + 4*x, f - 5*x - 2 = 0. Factor -1/3 + 1/6*v**f - 1/6*v.
(v - 2)*(v + 1)/6
Let x(d) = 2*d**3 - 9*d**2 - 11*d + 21. Let g be x(5). Let q be g + 11 + ((-1)/(-4) - 2). Let q*o**3 - 1/4*o + 3/4*o**2 - 1/4*o**4 - 1/2 = 0. What is o?
-1, 1, 2
Let -3/4*x - 13/2*x**2 + 4*x**4 + 0*x**3 + 5/2 + 3/4*x**5 = 0. Calculate x.
-5, -1, 2/3, 1
Let f(u) be the second derivative of u**7/189 + 7*u**6/135 - u**5/45 - 13*u**4/9 - 7*u**3/3 + 15*u**2 - 299*u. Let f(d) = 0. What is d?
-5, -3, 1, 3
Factor 5*i - 18 + 20*i**2 - 6 + 5 - 11 + 5*i**3.
5*(i - 1)*(i + 2)*(i + 3)
Let h(c) be the second derivative of -c**4/78 + 33*c**3/13 + 100*c**2/13 + 9*c - 26. What is i in h(i) = 0?
-1, 100
Let j(o) be the second derivative of -o**7/5880 - o**6/420 - 11*o**5/840 - o**4/28 + 2*o**3 + 12*o. Let y(c) be the second derivative of j(c). Factor y(k).
-(k + 1)*(k + 2)*(k + 3)/7
Let l(r) be the third derivative of r**5/60 - 32*r**3/3 - 62*r**2. Factor l(m).
(m - 8)*(m + 8)
Let g(x) be the first derivative of 3*x**5/5 - 93*x**4/4 - 242. Solve g(u) = 0.
0, 31
Let i(v) = -4*v - 1. Let f be i(-7). Let z = -23 + f. Find h such that -6*h**5 + 7*h**5 + 5*h**z - 3*h**4 = 0.
-2, 0
Let f be 140/(-14) + -1 - -14. Factor 8/3 - 4/3*x**f - 4*x**2 + 4/3*x**4 + 4/3*x.
4*(x - 2)*(x - 1)*(x + 1)**2/3
Suppose -27*l - 20 = -74. Factor 5/2 - 15*q - 10*q**3 + 45/2*q**l.
-5*(q - 1)**2*(4*q - 1)/2
Let z = 99 - 86. Determine s, given that -4*s**2 + 0 + 3*s**2 - 4 - 2*s**2 + z*s = 0.
1/3, 4
Factor 2*r + 12*r + 6 + 0*r**2 - 21*r + r**2.
(r - 6)*(r - 1)
Let h = -27 - 171. Let o = 399/2 + h. Determine j so that -o*j + 1 - j**2 + 2*j**3 - 1/2*j**5 + 0*j**4 = 0.
-2, -1, 1
Let w = 43691 - 218447/5. Find d, given that 6/5*d - 1/10*d**3 + 0*d**2 - w = 0.
-4, 2
Let n(o) = 7*o**2 + 3*o + 3. Let m(p) = -64*p**2 - 28*p - 28. Let v(a) = 3*m(a) + 28*n(a). Factor v(x).
4*x**2
Let t = 8579/10730 - -1/2146. Factor -2/5 + t*w - 4/5*w**3 + 2/5*w**2.
-2*(w - 1)*(w + 1)*(2*w - 1)/5
Suppose -16*p + 27*p - 22 = 0. Suppose -20*s**3 - 8*s**2 - 30 - 7*s**p - 5*s**4 + 30 = 0. What is s?
-3, -1, 0
Let u be 14/(-5)*(-260)/104. Let x(z) be the third derivative of 2*z**2 - 1/280*z**u + 0 + 0*z**3 + 1/96*z**6 + 0*z - 1/96*z**4 - 1/240*z**5. Factor x(h).
-h*(h - 1)**2*(3*h + 1)/4
Suppose -25*y + 50*y = 100. Let m(r) be the first derivative of 0*r**3 + 0*r - 1/5*r**2 + 3/10*r**y + 3 + 4/25*r**5. Factor m(z).
2*z*(z + 1)**2*(2*z - 1)/5
Let t = -149 - -597/4. Factor -t*b**4 + b + 0 - 1/4*b**3 + b**2.
-b*(b - 2)*(b + 1)*(b + 2)/4
Let x(v) be the third derivative of v**7/1050 + v**6/300 - 7*v**5/300 + v**4/30 - 43*v**2. Factor x(w).
w*(w - 1)**2*(w + 4)/5
Let r be (450/(-270))/(5/(-6)). Let -8/7*u + 10/7*u**3 - 2/7*u**4 + 16/7 - 12/7*u**r = 0. Calculate u.
-1, 2
Let s(n) be the third derivative of n**8/448 - n**7/56 - 3*n**6/80 + 2*n**2 - 91*n. Suppose s(k) = 0. Calculate k.
-1, 0, 6
Let s be 3/11 + 6/(-22). Let h(i) be the first derivative of 1/3*i**6 - i**2 + s*i**4 - 4/5*i**5 + 4/3*i**3 + 3 + 0*i. Find x such that h(x) = 0.
-1, 0, 1
Let g(l) = -l. Let x(o) = -4*o**2 - 116*o. Let a(f) = 12*g(f) - x(f). Solve a(t) = 0.
-26, 0
Let b(o) = -5*o - 27. Let v be b(-6). Let y(s) be the second derivative of 4/9*s**v + 1/24*s**5 + 0 + 1/3*s**2 + 17/72*s**4 + 3*s. Find h such that y(h) = 0.
-2, -1, -2/5
Let q(w) be the second derivative of w**5/30 - 11*w**4/18 + 32*w**3/9 - 28*w**2/3 - 43*w. Let q(s) = 0. What is s?
2, 7
Solve 1/4*u**2 - 1/2 + 1/4*u = 0 for u.
-2, 1
Let x(j) be the third derivative of 17*j**7/420 + 37*j**6/240 + 23*j**5/120 + j**4/16 - 8*j**2 + 5*j. Factor x(c).
c*(c + 1)**2*(17*c + 3)/2
Find i such that 1476*i**3 - 72*i**4 + 63*i**2 - 400 + 3680*i - 4669*i**2 - 3318*i**2 = 0.
1/6, 1/3, 10
Let v(n) = -n. Let g(o) = 2*o**4 - 26*o**3 + 66*o**2 + 149*o - 196. Let f(r) = 2*g(r) - 10*v(r). Factor f(q).
4*(q - 7)**2*(q - 1)*(q + 2)
Let m be (((-182)/147)/13)/((-480)/14). Let b(n) be the third derivative of -8*n**2 + 0 + 0*n**4 + 0*n + 0*n**3 + m*n**5. Factor b(j).
j**2/6
Let z = -3456 + 6915/2. Factor 3*n - 3*n**3 + 0 - 3/2*n**4 + z*n**2.
-3*n*(n - 1)*(n + 1)*(n + 2)/2
Factor -2*n**3 - 14*n**2 - 26*n + 3*n**3 + 5 + 28*n - 3*n**3 + 9.
-2*(n - 1)*(n + 1)*(n + 7)
Let l(q) be the first derivative of 2*q**5/65 + 2*q**4/13 - 2*q**3/3 - 40*q**2/13 + 96*q/13 - 80. Determine u, given that l(u) = 0.
-4, 1, 3
Let n(s) be the third derivative of s**7/315 + s**6/90 - s**5/30 - s**4/9 + 4*s**3/9 - s**2 - 15*s. Suppose n(k) = 0. Calculate k.
-2, 1
Let g(t) be the third derivative of -t**6/18 + 7*t**5/30 - t**4/3 - 4*t**3/3 + 6*t**2. Let k(s) be the first derivative of g(s). Factor k(q).
-4*(q - 1)*(5*q - 2)
Let z be (-2 - -18) + 0 + 3. Suppose 5*a + 4*b - 4 - z = 0, 7 = a + 2*b. Factor -3*p**2 + 3 - 17*p + a - 4 + 12*p.
-(p + 2)*(3*p - 1)
Let j(a) = 147*a**2 + 741*a + 33. Let u(k) = 588*k**2 + 2964*k + 131. Let w(z) = -11*j(z) + 3*u(z). Solve w(t) = 0 for t.
-5, -2/49
Let v(b) = 9*b**3 - 8*b**2 - 11*b - 6. Let d(l) = 19*l**3 - 16*l**2 - 20*l - 12. Let r(a) = 4*d(a) - 9*v(a). Factor r(n).
-(n - 3)*(n + 1)*(5*n + 2)
Let q be (-9 + 9)*(9/(-6) - -1). Let g(m) be the third derivative of 1/390*m**5 + q*m**4 + 0*m**3 + 1/780*m**6 + m**2 + 0*m + 0. Factor g(z).
2*z**2*(z + 1)/13
Let s(z) be the third derivative of -1/525*z**7 + 0*z + 1/60*z**4 - 3*z**2 - 1/300*z**6 + 1/150*z**5 + 0*z**3 + 0. Let s(h) = 0. What is h?
-1, 0, 1
Suppose 92*c - 10 = 90*c. Let d(k) be the second derivative of -1/90*k**c - 5*k + 1/54*k**4 + 2/27*k**3 + 0 + 0*k**2. What is s in d(s) = 0?
-1, 0, 2
Let b(l) be the second derivative of -2*l**7/21 + 4*l**6/15 - 2*l - 15. Find k such that b(k) = 0.
0, 2
Let q = -9/188 - -1531/564. Suppose q*k - 2/3*k**3 - 16/3 + 4/3*k**2 = 0. Calculate k.
-2, 2
Suppose -386 = 3*t - 119. Let g = 359/4 + t. Determine n so that 1/4*n**3 - g*n**2 + 3/4*n - 1/4 = 0.
1
Suppose 0 = -3*o + 4*x - 5*x + 23, 2*x = 3*o - 26. Let h be (1/(-4))/(3/o) + 1. Factor 1/3*z**2 + 0 + 1/3*z**3 - 1/3*z - h*z**4.
-z*(z - 1)**2*(z + 1)/3
Let b(m) be the third derivative of m**9/16632 - m**8/9240 - m**7/2310 + m**3/6 + 14*m**2. Let n(l) be the first derivative of b(l). Factor n(z).
2*z**3*(z - 2)*(z + 1)/11
Solve 0 + 16/3*m**2 + 0*m - 2/3*m**4 + 14/3*m**3 = 0.
-1, 0, 8
Suppose 5*w - 1292 = 123. Let f = 1983/7 - w. Factor 0 - 2/7*y**3 + 2/7*y**5 + 2/7*y**4 - f*y**2 + 0*y.
2*y**2*(y - 1)*(y + 1)**2/7
Let o(q) be the thi