*i**5 - 2/3*i = 0.
-2, -1/2, 0, 1/4
Let s be 1/(((-50)/35)/((-12)/21)). Let t(m) be the first derivative of s*m**3 + 3/10*m**2 + 3/20*m**4 + 4 + 0*m. Let t(z) = 0. Calculate z.
-1, 0
Let a(b) be the second derivative of b**5/140 + 5*b**4/21 + 53*b**3/42 + 17*b**2/7 - 16*b. Let a(n) = 0. Calculate n.
-17, -2, -1
Let p = -151 + 153. Factor -c**3 - 167 + 135*c - 4*c**3 - 60*c**p + 97.
-5*(c - 1)**2*(c + 14)
Let k(m) be the third derivative of m**8/112 - m**7/210 - 3*m**6/40 + 3*m**5/20 - m**4/12 + 78*m**2. Let k(c) = 0. What is c?
-2, 0, 1/3, 1
Suppose -4*n = 3*x - 9, 3*x - 7 = n + 2. Solve 2/21*y + 4/21*y**2 - 2/21*y**x - 4/21 = 0 for y.
-1, 1, 2
Let r(h) = -7. Let t(o) = -1. Let x(g) = r(g) - 6*t(g). Let i(b) = b**2 + 18*b + 86. Let n(m) = -4*i(m) - 20*x(m). Factor n(y).
-4*(y + 9)**2
Let b be ((-64)/(-336))/((-2)/(-42)). Determine d, given that 8*d**2 + 32/9*d + 2/9*d**b - 128/9 + 22/9*d**3 = 0.
-4, 1
Let o(p) be the third derivative of p**6/60 - p**5/15 + p**4/12 + 116*p**2. Factor o(n).
2*n*(n - 1)**2
Let q(o) = o**2 - 6*o + 5. Let h be q(6). Suppose -5*p = -3 - 7, -6 = -2*y + p. Factor -y*s**3 - 4*s**2 + h*s**3 + 4 + 5*s**3 - 6*s.
2*(s - 1)*(s + 1)*(3*s - 2)
Factor -16/5 - 8/5*z - 1/5*z**2.
-(z + 4)**2/5
Factor 4232/15 - 184/15*o + 2/15*o**2.
2*(o - 46)**2/15
Factor -14/3 + 1/3*k**2 - 13/3*k.
(k - 14)*(k + 1)/3
Let w(n) be the second derivative of 2/9*n**2 - 4*n + 0*n**4 + 0 + 1/90*n**5 - 1/9*n**3. Factor w(v).
2*(v - 1)**2*(v + 2)/9
Let l(g) be the third derivative of -4*g**2 - 1/30*g**5 + 0*g + 1/6*g**4 + 0*g**3 - 1/60*g**6 + 0. Factor l(m).
-2*m*(m - 1)*(m + 2)
Let j = -4 - -6. Let k(o) = o**3 + 30*o**2 - 31*o + 2. Let y be k(-31). Factor 3*r**y - 2*r**2 + r**2 - j + 0*r**2.
2*(r - 1)*(r + 1)
Let p be ((-1)/2)/(((-4)/48)/(-1)). Let g be ((-2)/12)/(p/8). Solve -g*o**2 + 2/3 - 4/9*o = 0 for o.
-3, 1
Suppose 149*k - 167*k + 90 = 0. Let q(o) be the second derivative of 11/6*o**4 - 32/21*o**3 + 4/7*o**2 + 3*o - 7/10*o**k + 0. Solve q(x) = 0 for x.
2/7, 1
Let z(s) be the second derivative of 11/2*s**2 + 0 + 11*s + 5/18*s**3 + 0*s**4 - 1/36*s**5. Let v(l) be the first derivative of z(l). Factor v(m).
-5*(m - 1)*(m + 1)/3
Solve 33/4 + 3/2*g**2 + 69/4*g = 0.
-11, -1/2
Let c(w) be the second derivative of w**7/2100 + w**6/300 + w**5/150 - 6*w**3 - 32*w. Let r(l) be the second derivative of c(l). Factor r(b).
2*b*(b + 1)*(b + 2)/5
Let z(p) = 22*p**2 + 6*p - 6*p - 21*p**2. Let r(x) = 3*x**3 - 14*x**2 - 21*x. Let n(q) = r(q) - 4*z(q). Factor n(k).
3*k*(k - 7)*(k + 1)
Let i(h) be the first derivative of h**6/180 + h**5/30 - h**4/36 - h**3/3 + 8*h**2 - 7. Let r(k) be the second derivative of i(k). Factor r(b).
2*(b - 1)*(b + 1)*(b + 3)/3
Let v(b) be the third derivative of -b**6/60 + b**5/10 + b**4/12 - b**3 + 169*b**2. Factor v(y).
-2*(y - 3)*(y - 1)*(y + 1)
Let d(r) be the second derivative of -25*r**4/12 - 30*r**3 - 35*r**2/2 - 3*r + 2. What is k in d(k) = 0?
-7, -1/5
What is w in 5*w**2 - 41*w**2 + 11*w**2 - 144*w + 5184 + 26*w**2 = 0?
72
Let s be 35/21 - 8/48. Let j(w) be the first derivative of -6/5*w**5 - 1/3*w**6 + 0*w - s*w**4 - 1 + 0*w**2 - 2/3*w**3. Solve j(n) = 0.
-1, 0
Suppose -d - 12 + 27 - 11 = 0. Factor 9/5*m**4 + 21/5*m**3 - 2/5*m**2 - 8/5 - d*m.
(m - 1)*(m + 2)*(3*m + 2)**2/5
Let n be (1/1*-1)/((-39)/351). Let h be (-2)/(-9 + (-1)/((-3)/n)). Factor -4/3 + 4/3*r + 1/3*r**2 - h*r**3.
-(r - 2)*(r - 1)*(r + 2)/3
Let f(c) be the first derivative of c**5/180 + c**4/54 - c**3/18 + 13*c + 12. Let w(g) be the first derivative of f(g). Suppose w(q) = 0. What is q?
-3, 0, 1
Let i(o) be the third derivative of o**7/63 + o**6/90 + o**5/300 - 3*o**4/8 + 35*o**2. Let r(s) be the second derivative of i(s). Factor r(p).
2*(10*p + 1)**2/5
Suppose -19 = 2*b - 33. Suppose 2*g - 3*q - 15 = 0, 4*g - b - 20 = 5*q. Factor -4/9*s**g - 1/9*s**5 - 2/9*s**2 + 5/9*s - 2/9 + 4/9*s**4.
-(s - 2)*(s - 1)**3*(s + 1)/9
Let q(f) be the first derivative of f**3 - 318*f**2 + 33708*f + 282. Factor q(k).
3*(k - 106)**2
Suppose u + 3*u = 16*u. Factor u*x**3 + 314*x**2 - 2*x**3 - 304*x**2 - 5*x - 3*x**3.
-5*x*(x - 1)**2
Find h such that 20/3*h + 4/9*h**3 - 4*h**2 + 100/9 = 0.
-1, 5
Let s(q) = q**2 + 3*q - 10. Let c be s(-5). Let i be (9 + -9)/(-1 - c). Factor i*l + 1/2*l**4 + 1/2*l**3 + 0 - l**2.
l**2*(l - 1)*(l + 2)/2
Let v(u) = 9*u**2 - 89*u. Let z(s) = -5*s**2 + 45*s. Let j(c) = -6*v(c) - 10*z(c). Suppose j(x) = 0. What is x?
0, 21
Let -51/2*t**2 - 3/4*t**5 + 3/2*t**3 + 51/4*t**4 + 51/4 - 3/4*t = 0. What is t?
-1, 1, 17
Let q = 17079/55 - 1549/5. Factor -2/11*w**5 - 2/11*w - 8/11*w**4 - q*w**2 + 0 - 12/11*w**3.
-2*w*(w + 1)**4/11
Let u(z) be the second derivative of z**4/12 - 6*z**3 - 37*z**2/2 - 144*z. Factor u(l).
(l - 37)*(l + 1)
Let d(h) be the third derivative of -h**9/151200 - h**8/33600 - h**7/25200 - 7*h**4/24 + 23*h**2. Let b(y) be the second derivative of d(y). Factor b(u).
-u**2*(u + 1)**2/10
Let c(o) = 116*o + o**3 + 125*o + 2 + 18*o**2 - 209*o. Let i be c(-16). Factor -4/5*v**i - 4/5*v**3 - 1/5*v**4 + 0*v + 0.
-v**2*(v + 2)**2/5
Let i(s) = -17*s**2 - 26*s - 9. Let t(o) = -70*o**2 - 105*o - 35. Let u(v) = 25*i(v) - 6*t(v). Let u(n) = 0. What is n?
-3, -1
Let r(p) be the first derivative of -2*p**5/15 + 11*p**4/6 - 10*p**3 + 27*p**2 - 36*p - 305. Determine v, given that r(v) = 0.
2, 3
Let m(w) = 2*w**2 + 0*w - 2*w**2 + 1 + w - 2*w**2 + w**3. Let v be m(2). Solve -18*g + 12 - 39 + 0*g**2 - v*g**2 = 0 for g.
-3
Let b(t) be the third derivative of -4/27*t**3 + 1/270*t**5 + 0*t + 0 + 19*t**2 + 0*t**4. Find g such that b(g) = 0.
-2, 2
Let l(z) be the first derivative of -11*z**4/12 + 53*z**3/9 - 17*z**2/3 - 8*z/3 + 68. Let l(s) = 0. Calculate s.
-2/11, 1, 4
Let n be (-403 + 396)/((-30)/14) + 16/(-6). What is w in 0 - n*w**3 - 27/5*w**2 + 6*w = 0?
-10, 0, 1
Let z = 8108/27937 + -18/3991. Let 0*g + 0*g**2 + 6/7*g**3 + z*g**4 + 0 = 0. What is g?
-3, 0
Let y(h) = 5*h - 158. Let r be y(33). Let s(l) be the first derivative of 0*l - 1/16*l**4 - r + 0*l**2 + 1/24*l**6 + 1/6*l**3 - 1/10*l**5. Factor s(p).
p**2*(p - 2)*(p - 1)*(p + 1)/4
Suppose -8/5*c**3 + 2/5*c**2 + 6/5*c**4 + 0 + 0*c = 0. Calculate c.
0, 1/3, 1
Let b be ((-69)/14 - -5)/((-8)/(-14)). Let y(h) be the third derivative of -1/40*h**5 - b*h**4 - 3*h**2 - 1/4*h**3 + 0*h + 0. Factor y(j).
-3*(j + 1)**2/2
Let x be 51/15 + (-8)/20. Let d(q) = q**2 - 19*q + 70. Let a be d(14). Factor 3/5*f**5 + 0*f**2 - 3/5*f**4 - 6/5*f**x + a*f + 0.
3*f**3*(f - 2)*(f + 1)/5
Suppose 2*j - 5*m + 8 + 22 = 0, 24 = 3*j + 4*m. Factor j*a + 0 - 3/7*a**2.
-3*a**2/7
Let n = -962/7 + 138. Factor -4/7*h**2 + 4/7 + 4/7*h - n*h**3.
-4*(h - 1)*(h + 1)**2/7
Let r(g) be the first derivative of g**4/26 - 8*g**3/39 - 5*g**2/13 + 8. Solve r(i) = 0.
-1, 0, 5
Let m(d) be the second derivative of 0*d**2 + 0 - 1/114*d**4 + 2/57*d**3 + 16*d. Factor m(l).
-2*l*(l - 2)/19
Let c = -4222 + 29555/7. Factor 1/7*y**2 - 6/7 + c*y.
(y - 2)*(y + 3)/7
Factor -2/3 - 1/6*x + 1/12*x**2.
(x - 4)*(x + 2)/12
Let l(y) be the first derivative of 44 + 9/28*y**4 + 3/35*y**5 + 0*y**3 + 0*y - 6/7*y**2. Solve l(k) = 0.
-2, 0, 1
Suppose 192/5*k + 4/5*k**3 - 144/5 - 52/5*k**2 = 0. What is k?
1, 6
Let w be (-220)/2250*-30 - 8/6. Suppose -w*q + 2/5*q**2 + 8/5 = 0. Calculate q.
2
Let v be 0 - (12 + (-945)/75). Factor 0 + 7/5*q**2 - 2/5*q - 8/5*q**3 + v*q**4.
q*(q - 1)**2*(3*q - 2)/5
Factor -5*j**4 - 75*j**2 + 40*j**3 + 13353*j - 13353*j.
-5*j**2*(j - 5)*(j - 3)
Let q be 4/(-30)*-5*3. Suppose q*j - 3*j - 28 = -2*z, -2*z = 4*j - 18. Suppose 3*u - 5*u**2 - z - u**2 + u**3 + 4 + 11*u**2 = 0. What is u?
-3, 1
Let b(y) be the third derivative of -y**5/15 + 3*y**4/2 + 20*y**3/3 - 47*y**2. Find s, given that b(s) = 0.
-1, 10
Let c(w) be the first derivative of 6 - 4/11*w**2 + 8/11*w + 2/33*w**3. Find r, given that c(r) = 0.
2
Suppose 9*w - 15*w = -72. Suppose 0 = 4*m - k - 6, -w = -m - 3*k - 2*k. Suppose 0 - 2*h**3 - 2/9*h**4 - 6*h**m - 6*h = 0. What is h?
-3, 0
Suppose c - 5*c - 24 = 0. Let u(r) = 5*r**3 + 11*r**2 + 22*r + 7. Let a(i) = i**3 - i**2 - 1. Let k(w) = c*a(w) + 2*u(w). Factor k(x).
4*(x + 1)**2*(x + 5)
Let m(h) be the second derivative of h + 0*h**2 - 1/12*h**4 + 1/20*h**5 + 0*h**3 - 1/42*h**7 + 1/30*h**6 + 0. Suppose m(t) = 0. Calculate t.
-1, 0, 1
Let m(z) = -2*z**2 + 5*z +