- i*h**4. Solve t(d) = 0.
0
Factor -14*d**4 + d**3 - 10*d**2 + 9*d**4 - 16*d**3.
-5*d**2*(d + 1)*(d + 2)
Let m(t) = -t**3 + t**2 + t + 1. Let i be m(-1). Determine g so that -3*g**2 + g**i - 4*g**3 - g**4 + 3*g**4 + 3*g + g**5 = 0.
-3, -1, 0, 1
Suppose 0 + 4*f**2 - 80*f + 200 + 200 = 0. Calculate f.
10
Let h be (-60)/(-24)*(-3)/(-15). Factor -3*z**2 - 2*z**3 - h*z**4 - 1/2 - 2*z.
-(z + 1)**4/2
Solve -15*f - 8 - 3*f**2 + 24*f**4 - 139*f**2 - 46*f - 101*f**3 + f + 35*f**5 = 0 for f.
-1, -2/5, -2/7, 2
Factor 67*z**2 - z - 66*z**2 - 2*z**3 + 3*z**3 - 1.
(z - 1)*(z + 1)**2
Let x(k) be the first derivative of 2 - 2/5*k + 2/15*k**3 - k**2 + 1/2*k**4. Factor x(u).
2*(u - 1)*(u + 1)*(5*u + 1)/5
Let v(f) be the third derivative of -f**5/90 - f**4/18 - f**3/9 + 2*f**2. Factor v(b).
-2*(b + 1)**2/3
Factor -3*n**3 + 3/4 + 9/2*n**2 - 3*n + 3/4*n**4.
3*(n - 1)**4/4
Let z(t) be the first derivative of 3 + 0*t**3 + 0*t - 3/5*t**5 + 0*t**2 + 1/4*t**4 - 2/3*t**6. Solve z(a) = 0.
-1, 0, 1/4
Let f(n) be the second derivative of n**5/10 - 2*n**4/3 + 5*n**3/3 - 2*n**2 - 4*n. Factor f(u).
2*(u - 2)*(u - 1)**2
Let d(u) be the second derivative of u**4/9 - 2*u**3/9 - 4*u**2/3 - 7*u. What is x in d(x) = 0?
-1, 2
Let x(l) = -14*l**5 + 26*l**4 - 12*l**2 + 5. Let h(n) = -13*n**5 + 25*n**4 - 12*n**2 + 4. Let i(u) = -5*h(u) + 4*x(u). Solve i(s) = 0.
-2/3, 0, 1, 2
Let w(z) be the first derivative of -z**4/10 + 4*z**3/5 - 12*z**2/5 + 16*z/5 + 5. What is q in w(q) = 0?
2
Let b(v) = 2*v - 9. Let c be b(9). Let a be 27/9 - 25/c. Factor -4/9 + 2/9*t**2 + a*t.
2*(t - 1)*(t + 2)/9
Let a(p) be the second derivative of p**7/42 - p**6/30 - p**5/10 + 19*p. What is c in a(c) = 0?
-1, 0, 2
Let 2*l**3 + 15*l**2 + 47*l + 13*l**2 + 19*l + 72 - 8*l**2 = 0. Calculate l.
-4, -3
Let p(m) = -2*m + 9. Let q be p(6). Let t = 3 + q. Factor -32/5*f**2 + 14/5*f**3 + t + 8/5*f.
2*f*(f - 2)*(7*f - 2)/5
Determine i, given that -3*i**4 + 8*i**2 - 4*i**5 - 5*i**4 - 49*i**3 + 53*i**3 = 0.
-2, -1, 0, 1
Let p(q) = -q**2 + 4*q - 1. Let n(u) = -2*u + 3*u - u**2 - 2 + 1. Let b(y) = -2*n(y) + p(y). Factor b(x).
(x + 1)**2
Let d be 28/(-140)*2/(-2). Factor -1/5*p**3 + d*p + 3/5*p**2 - 2/5 - 1/5*p**4.
-(p - 1)**2*(p + 1)*(p + 2)/5
Let z(b) be the second derivative of -b**7/147 - 2*b**6/105 + b**4/21 + b**3/21 + 13*b. Factor z(o).
-2*o*(o - 1)*(o + 1)**3/7
Suppose 2*c - 2 = 8. Suppose -3*j + 19 = 5*g + j, -5*g + c*j + 10 = 0. Factor 109/4*l**g - 63/2*l**4 + l + 0 - 9*l**2 + 49/4*l**5.
l*(l - 1)**2*(7*l - 2)**2/4
Let a be 51/9 + 2/(-3). Let w(c) = -c + 5. Let g be w(a). Find k, given that g - 2/3*k**4 + 2*k**3 - 2*k**2 + 2/3*k = 0.
0, 1
Let j(h) be the first derivative of 2*h**3/3 - 4*h**2 + 6*h + 37. Factor j(i).
2*(i - 3)*(i - 1)
Let u(v) be the third derivative of v**9/45360 - v**7/3780 + v**5/360 - v**4/8 + 3*v**2. Let t(x) be the second derivative of u(x). Factor t(j).
(j - 1)**2*(j + 1)**2/3
Let f = 42 - 125/3. Solve 2/3*b - f*b**2 + 0 = 0 for b.
0, 2
Let c(n) be the second derivative of -n**4/42 - 10*n**3/21 - 25*n**2/7 + 3*n. Factor c(i).
-2*(i + 5)**2/7
Let s(u) be the third derivative of -u**5/330 - u**4/33 - 6*u**2. Let s(r) = 0. Calculate r.
-4, 0
Let u = 8/7 + -17/21. Factor 0 + 0*x + 0*x**2 + 1/3*x**5 + 2/3*x**4 + u*x**3.
x**3*(x + 1)**2/3
Let n(v) = -2*v**2 - 3*v + 5. Let l(q) = -5*q**2 - 6*q + 11. Let m(u) = 6*l(u) - 14*n(u). Factor m(k).
-2*(k - 2)*(k - 1)
Let d(n) be the first derivative of -8*n**6/9 - 8*n**5/5 + 29*n**4/4 + 47*n**3/9 + n**2 - 12. Let d(r) = 0. What is r?
-3, -1/4, 0, 2
Let j(q) = 6*q - 2*q - 2*q - 14 + 0*q. Let p be j(8). Factor 0 - 1/2*h**p + 0*h + 1/2*h**3.
h**2*(h - 1)/2
Let p(z) = z**2 - 5*z - 23. Let x be p(8). Let u be x + (-132)/28 + 4. Factor u*f**3 + 0*f + 0 - 2/7*f**2.
2*f**2*(f - 1)/7
Let d(h) = -4*h**4 - 16*h**3 - 8*h**2 - 4*h + 4. Let z(r) = 8*r**4 + 32*r**3 + 17*r**2 + 7*r - 7. Let g(k) = -7*d(k) - 4*z(k). Factor g(q).
-4*q**2*(q + 1)*(q + 3)
Factor 9/7 - 9/7*r**2 - 24/7*r.
-3*(r + 3)*(3*r - 1)/7
Let b be 44/10 - 72/180. Factor 0 - 8/7*q**2 + 0*q - 10/7*q**b + 16/7*q**3 + 2/7*q**5.
2*q**2*(q - 2)**2*(q - 1)/7
Let r = 41 - 39. Let p(v) be the third derivative of 0*v**7 - 1/30*v**6 + 1/168*v**8 + 0*v + 0*v**5 - 2*v**r + 0 + 1/12*v**4 + 0*v**3. Solve p(n) = 0.
-1, 0, 1
Suppose 3*b = -5*f + 116, -36 = b - 4*f - 103. What is k in 39*k - 141 + 3*k**3 + b*k + 58*k + 36*k**2 + 333 = 0?
-4
Let a = 12 - 10. Find j, given that 3*j**a + 0*j**2 - 3*j**4 - 2*j**5 - j**5 + 3*j**3 = 0.
-1, 0, 1
Let a(c) be the second derivative of -1/42*c**4 + 3*c + 4/7*c**2 + 0 + 0*c**3. Find k such that a(k) = 0.
-2, 2
Let b = 208 + -829/4. Factor b*t**4 - 21/4*t - 15/4*t**3 + 3/2 + 27/4*t**2.
3*(t - 2)*(t - 1)**3/4
Let p(b) be the first derivative of -b**7/105 - b**6/60 + b**5/30 + b**4/12 + b**2 + 3. Let j(h) be the second derivative of p(h). Factor j(u).
-2*u*(u - 1)*(u + 1)**2
Let s be 10/(-65) + (-94)/(-208)*2. Determine c so that s + 3/4*c**2 + 3/2*c = 0.
-1
Let q be 1 + 0 + (0 - 1). Let g = q - -3. Factor h - 2*h - h**4 + 2*h + g*h**3 - 3*h**2.
-h*(h - 1)**3
Let y = 174 + -174. Let -1/5*a - 1/5*a**2 + y = 0. What is a?
-1, 0
Let y(c) = c + 9. Let u be y(-7). Let k be (-20)/25*10/(-4). Find h, given that k*h + 2*h**2 + 3*h + u - h = 0.
-1
Let s(f) be the second derivative of 10*f**7/21 - 7*f**6/6 - f**5/2 + 29*f. Determine d, given that s(d) = 0.
-1/4, 0, 2
Let r(o) be the first derivative of o**6/1620 + o**5/180 + o**4/54 - o**3 + 10. Let f(j) be the third derivative of r(j). Factor f(y).
2*(y + 1)*(y + 2)/9
Let d(z) be the third derivative of -1/300*z**6 + 1/150*z**5 + 0*z + 0 + 1/60*z**4 - z**2 - 1/15*z**3. Factor d(w).
-2*(w - 1)**2*(w + 1)/5
Let g(u) = 0 + u**2 + 1 + 0 + u**4. Let t(k) = 3*k**4 - 6*k**3 - 9*k**2 - 12*k. Let b(p) = 4*g(p) - t(p). Factor b(x).
(x + 1)**2*(x + 2)**2
Factor 5/8*d - 1/8*d**2 - 1/2.
-(d - 4)*(d - 1)/8
Let f(r) be the third derivative of -r**9/30240 + r**8/3360 - r**6/90 - r**5/12 + r**2. Let s(t) be the third derivative of f(t). Suppose s(x) = 0. What is x?
-1, 2
Let h(x) be the first derivative of x**4/10 - x**2/5 + 16. Factor h(r).
2*r*(r - 1)*(r + 1)/5
Factor 8/7*o**3 + 74/7*o**2 + 0 + 18/7*o.
2*o*(o + 9)*(4*o + 1)/7
Let c be (-28)/(-21)*3/2. Let o = 4 - c. Factor -1/2*k**4 + o*k**3 - 3*k**2 - 1/2 + 2*k.
-(k - 1)**4/2
Let x(r) = -62*r**2 - 12*r + 8. Let u be x(8). Let b = 28442/7 + u. Let b*k**3 - 8/7 - 90/7*k**2 + 48/7*k = 0. What is k?
2/5, 1
Let a(h) = -11*h**3 - 6*h**2 - 5*h + 6. Let x(t) = 3*t + 7. Let d be x(-5). Let n(o) = -4*o**3 - 2*o**2 - 2*o + 2. Let g(r) = d*n(r) + 3*a(r). Solve g(s) = 0.
-2, -1, 1
Let h be 3 - (0 - 2/1). Suppose 57*p**4 - 45*p**3 - 6*p**h + 3*p**2 + 3*p - 15*p**5 + 3*p = 0. Calculate p.
-2/7, 0, 1
Let h = 79/6 - 13. Let t(a) be the second derivative of h*a**4 + 0*a**3 - a**2 + 3*a + 0. Factor t(q).
2*(q - 1)*(q + 1)
Let p(i) = 2*i - 11. Let f be p(9). Let j = f + -5. Factor q**2 + 0*q + 2*q**2 + 2*q - 5*q**j.
-2*q*(q - 1)
Let d(n) be the third derivative of n**10/151200 + n**9/20160 - n**7/1260 - n**5/30 + 6*n**2. Let f(r) be the third derivative of d(r). Factor f(l).
l*(l - 1)*(l + 2)**2
Suppose -3 = -2*n + 3. Let z be 12/(-16) + 93/60. What is r in z*r - 4/5*r**n + 0*r**2 - 2/5 + 2/5*r**4 = 0?
-1, 1
Let q = -6 + 10. Suppose 0 = -5*v - 11 - q. Let d(f) = f**2 - 5*f + 4. Let t(w) = 2*w**2 - 11*w + 9. Let b(o) = v*t(o) + 7*d(o). Factor b(y).
(y - 1)**2
Let n be (18/(-4))/(13/(52/(-21))). What is d in 3/7 - n*d + 3/7*d**2 = 0?
1
Determine x so that 2*x**2 + 2*x**3 - 5*x**3 + 7*x**3 + 2*x**4 = 0.
-1, 0
Let s be 22/4 + 6/(-4). Suppose -4*b = b + s*g - 20, g = 4*b - 16. Find f such that -3*f**2 - f**b + f**2 - 2*f + 3*f**2 - 2*f**3 + 4*f**3 = 0.
-1, 0, 1, 2
Find t, given that 8*t**4 + 38*t**5 - t - 34*t**5 - 3*t - 8*t**2 = 0.
-1, 0, 1
Let w(y) be the first derivative of 2*y**5/55 - 3*y**4/22 + 4*y**3/33 - 55. Find d such that w(d) = 0.
0, 1, 2
Suppose -211*w + 211*w + 2*w**2 = 0. What is w?
0
Let g = -515/12 + 43. Let z(l) be the second derivative of 2*l + 1/24*l**4 - 1/2*l**2 + g*l**3 + 0. Factor z(p).
(p - 1)*(p + 2)/2
Factor -7*r**2 - 4*r**4 - 8*r**3 + 19*r**2 + 16*r**2 - 16*r.
-4*r*(r - 1)**2*(r + 4)
Let b(n) be the third derivative of -n**6/120 - n**5/60 + 4*n**2. Factor b(t).
-t**2*(t + 1)
Let a(l) be the third derivative