10 + 7*u**4/15 + 196*u**3/15 - 1044*u**2. Suppose v(t) = 0. What is t?
-14, -1, 1
Let g be (-12)/(-4) + -4 + (-8)/(-8). Factor 0 + g*u - 1/4*u**3 + 1/2*u**2.
-u**2*(u - 2)/4
Factor -2/3*k + 2/3*k**3 - 88/3 + 88/3*k**2.
2*(k - 1)*(k + 1)*(k + 44)/3
Let w be 272/80 - (-4)/(-10). Factor 0*c + 0*c**w + 0*c**2 + 0 + 3/4*c**4.
3*c**4/4
Let z be (-3)/4*1/(-3). Let a be ((2 - 5/2 - 0)*0)/2. Let 0 - 1/4*c**5 + z*c**4 + 0*c**2 + 0*c + a*c**3 = 0. Calculate c.
0, 1
Let b = 103/2 + -49. Let k be ((-19)/(152/(-48)) + -8 + 0)/(-4). Factor -7/2*a + b*a**2 + 3/2 - k*a**3.
-(a - 3)*(a - 1)**2/2
Let x(b) = -7*b**3 - 15*b**2 - 26*b. Let s(u) = -20*u**3 - 44*u**2 - 76*u. Let g(l) = 6*s(l) - 17*x(l). Factor g(q).
-q*(q + 2)*(q + 7)
Let b = 1958 + -1950. Let m(s) be the third derivative of 8*s**2 + 0*s**7 + 0*s + 0*s**5 + 1/84*s**b + 0*s**3 + 0 + 0*s**6 + 0*s**4. Factor m(n).
4*n**5
Let f(o) be the second derivative of -o**4/48 - 7*o**3/24 + 9*o - 4. Factor f(b).
-b*(b + 7)/4
Let f(g) be the third derivative of g**6/900 + 2*g**5/225 + g**4/36 + 2*g**3/45 + 37*g**2. Suppose f(s) = 0. Calculate s.
-2, -1
Let l(b) be the second derivative of 0 - 1/2*b**2 - 1/60*b**5 + 0*b**3 - 1/8*b**4 + b. Let m(g) be the first derivative of l(g). Find o, given that m(o) = 0.
-3, 0
Suppose 7*g = -8023 + 8058. Let i(z) be the third derivative of 1/9*z**3 - 1/120*z**g + 0*z**4 + 1/720*z**6 + 0*z - 9*z**2 + 0. Factor i(d).
(d - 2)**2*(d + 1)/6
Factor -18*o - 243 - 1/3*o**2.
-(o + 27)**2/3
Let f(a) be the first derivative of 5 - 1/40*a**4 - 1/5*a**3 + 0*a - 5/2*a**2 + 1/100*a**5. Let v(w) be the second derivative of f(w). Factor v(m).
3*(m - 2)*(m + 1)/5
Let l(q) = -258*q - 5*q**2 - 2*q**3 + 254*q - 5*q**4 + 10*q**2. Let a(b) = b**4 - b**2 + b. Let z(r) = 30*a(r) + 5*l(r). Suppose z(s) = 0. Calculate s.
-1, 0, 1, 2
Factor -2/5*g**3 - 24/5*g + 144/5 - 4*g**2.
-2*(g - 2)*(g + 6)**2/5
Suppose 6/7*x**3 - 24/7*x**2 + 0 + 18/7*x = 0. Calculate x.
0, 1, 3
Let k(v) be the first derivative of -v**4/12 + 5*v**3/24 - v**2/8 + 13*v - 10. Let w(n) be the first derivative of k(n). What is q in w(q) = 0?
1/4, 1
Let r(h) = 23*h**2 + 4*h - 3. Let d be r(1). Suppose -6*i**3 + 2*i**2 - d - 18*i**2 + 2*i**3 + 44*i = 0. What is i?
-6, 1
Let f(s) be the third derivative of 0*s**4 + 0 + 0*s - 23*s**2 + 0*s**3 - 1/30*s**5. Factor f(g).
-2*g**2
Let b = -53 + 56. Let 1636 + 2*v**b - 4*v**2 - 1636 + 2*v = 0. Calculate v.
0, 1
Let o(z) be the third derivative of 0*z - 1/9*z**3 + 0 - 5/72*z**4 - 1/45*z**5 - 1/360*z**6 + 2*z**2. Factor o(w).
-(w + 1)**2*(w + 2)/3
Let o = -10656/77 + 970/7. Determine k so that o*k**5 + 0*k + 16/11*k**3 - 8/11*k**2 - 10/11*k**4 + 0 = 0.
0, 1, 2
Let y = -56366/3 - -18790. Factor -2*u + 4/3 - 2*u**2 + y*u**3.
2*(u - 2)*(u + 1)*(2*u - 1)/3
Let l(s) = s**3 + 2*s**2 - 9*s. Let t(j) = -7*j**2 + 70*j - 4. Let f be t(10). Let i be l(f). Find v such that -2/3*v**i + 0 + 4*v**3 - 8*v**2 + 16/3*v = 0.
0, 2
Let 18835*h**4 + 276*h**2 - 18889*h**4 + 1 - 720*h**3 + 81 + 416*h = 0. What is h?
-41/3, -1/3, 1
Let o(m) = 5*m**2 - m + 1. Let y be o(1). Suppose -3*t - 4 = -y*t. Factor -2*a**3 + t*a**3 - 12*a**2 + 4*a**3 + 4*a**4 - 20*a - 8.
4*(a - 2)*(a + 1)**3
Let c be 1/3 + (-5 - (-16)/6). Let a = -5/3 - c. Suppose -1/3*j**3 + a*j - 2/3*j**4 + j**2 - 1/3 = 0. What is j?
-1, 1/2, 1
Let j(b) be the first derivative of -5*b**4/12 + 5*b**3 - 45*b**2/2 - 3*b - 1. Let s(p) be the first derivative of j(p). Solve s(t) = 0.
3
Let c(j) be the first derivative of -j**6/840 - 3*j**5/140 - 9*j**4/56 - 10*j**3/3 + 11. Let k(i) be the third derivative of c(i). Let k(s) = 0. What is s?
-3
Let p(t) be the second derivative of -t**4/12 - t**3/6 - 2*t. Let a(k) be the first derivative of k**3 - k**2 + 3*k - 16. Let m(y) = a(y) + 2*p(y). Factor m(g).
(g - 3)*(g - 1)
Let w(m) be the second derivative of -2*m**7/147 + 2*m**6/105 + 2*m**5/35 - m - 4. Suppose w(r) = 0. What is r?
-1, 0, 2
Suppose -12*x + 25 = -7*x. Find f such that -8*f - 7*f**2 - 2*f**2 - 26*f**3 - 11*f**2 - 45*f**4 + 56*f**2 + 25*f**x = 0.
-1, 0, 2/5, 2
Let n(y) = -50*y - 125. Let j(r) = r**2 - 49*r - 122. Let p(x) = 5*j(x) - 6*n(x). Solve p(s) = 0 for s.
-7, -4
Let h(c) = 3*c**2 + 70*c + 5. Let a(g) = 6*g**2 + 138*g + 9. Let b(x) = 5*a(x) - 9*h(x). Determine t so that b(t) = 0.
-20, 0
Determine j so that -53/6*j - 1/6*j**3 + 0 - 9*j**2 = 0.
-53, -1, 0
Let i(s) be the second derivative of 1/21*s**3 + 4*s - 1/42*s**4 + 2/7*s**2 + 0. Factor i(t).
-2*(t - 2)*(t + 1)/7
Let d be (-4 - -6)/(4/(-210)). Let t be (-3)/(-30)*-4 + (-72)/d. Determine c so that -6/7*c**2 + 0 - t*c + 8/7*c**3 = 0.
-1/4, 0, 1
Factor x**4 + x**2 + 3 - 7 - 7*x**3 + 3*x + 2 + 0*x + 4*x**3.
(x - 2)*(x - 1)**2*(x + 1)
Suppose 3*a + 2*m - 7 + 2 = 0, -4*a + 3*m = -35. Find t, given that 14*t**2 - 37*t**4 - 4*t**2 + 5*t**5 + 66*t**4 - 39*t**4 - a*t**3 = 0.
-1, 0, 1, 2
Suppose -1 = -2*s + 3. Let i be (6 + -4 + (4 - 5))*(-11)/(-22). Solve -2*x**s + 0 - i*x - 1/2*x**5 - 2*x**4 - 3*x**3 = 0 for x.
-1, 0
What is c in 50*c**5 + 119*c**3 + 8572*c**2 - 8604*c**2 + 200*c**4 - 24*c + 23*c**3 = 0?
-3, -1, -2/5, 0, 2/5
Let k(h) be the third derivative of -4/3*h**3 + 0 - 1/270*h**5 + 0*h - 17*h**2 + 1/9*h**4. Factor k(p).
-2*(p - 6)**2/9
Let k be (82/42 - 1)*(19 - 550/33). Suppose 50/9 + 2/9*g**2 + k*g = 0. What is g?
-5
Let y be (-14)/(-28)*12/8. Let a(o) be the first derivative of 3*o - y*o**4 - o**3 - 5 + 3/2*o**2. Factor a(s).
-3*(s - 1)*(s + 1)**2
Let d = -10535 + 10537. Find a such that 9/5*a - 6/5 - 3/5*a**d = 0.
1, 2
Let j(r) be the third derivative of -r**7/70 + 9*r**6/40 - 21*r**5/20 + 19*r**4/8 - 3*r**3 + 65*r**2. Factor j(o).
-3*(o - 6)*(o - 1)**3
Let y be (-1)/9*-227 + (-2)/9. Determine w, given that 0*w**3 - 40*w**2 + y*w - 4*w**3 + 30 - 9*w**3 - 2*w**3 = 0.
-3, -2/3, 1
Factor -615*n + 11 - 3*n**2 + 4*n**2 + 603*n.
(n - 11)*(n - 1)
Factor -51*r**2 + 106*r**3 + 132*r**3 - 9*r**2 - 128*r**5 + 8*r**4 - 50*r - 96*r**3 + 88*r**4.
-2*r*(r - 1)**2*(8*r + 5)**2
Factor 2/21 - 34/21*d + 32/21*d**2.
2*(d - 1)*(16*d - 1)/21
Factor -9*r**2 + 4266*r - 4281*r - 10 + 4.
-3*(r + 1)*(3*r + 2)
Let r be ((-22)/12)/(4/(-12))*(-136)/(-374). Let c = -331/9 + 37. Determine h, given that -4/3*h**3 + 0 - c*h - 2/9*h**5 - 8/9*h**4 - 8/9*h**r = 0.
-1, 0
Suppose 0 = 4*k + 6 + 6, -4*u = -k + 921. Let q = -229 - u. Suppose 0 - 48/7*c**q + 0*c - 3/7*c**4 + 24/7*c**3 = 0. Calculate c.
0, 4
Let n(m) be the second derivative of -m**6/120 - 7*m**5/80 - 5*m**4/16 - 3*m**3/8 - 32*m - 2. Determine g so that n(g) = 0.
-3, -1, 0
Solve -14602768/3 - 2/3*c**3 - 388*c**2 - 75272*c = 0.
-194
Let d(r) be the first derivative of -5*r**7/42 + r**6/3 - 5*r**4/6 + 5*r**3/6 - r - 1. Let q(i) be the first derivative of d(i). Solve q(k) = 0 for k.
-1, 0, 1
Factor 2/5*u**4 - 11/5*u**3 + 3*u + 11/5*u**2 - 9/5.
(u - 3)**2*(u + 1)*(2*u - 1)/5
Suppose 4*q = 57*q + 60*q. Let p = 35 + -139/4. Factor q*o**2 - 1/4 - 1/2*o + 1/2*o**3 + p*o**4.
(o - 1)*(o + 1)**3/4
Solve -3/5*u**5 + 9/5*u - 9/5*u**4 - 6/5*u**3 + 3/5 + 6/5*u**2 = 0.
-1, 1
Let d = 73 + -120. Let c = 49 + d. Let -1/2*i - 3/4*i**c - 1/4*i**3 + 0 = 0. What is i?
-2, -1, 0
Factor 11/4*c**3 - 1/4*c**4 + 39/4*c**2 + 7/2 + 41/4*c.
-(c - 14)*(c + 1)**3/4
Let q(m) be the third derivative of m**6/60 - 8*m**5/15 + 35*m**4/12 + 52*m**3/3 + 213*m**2. What is f in q(f) = 0?
-1, 4, 13
Let x(s) = -s**3 + 2*s**2 + s. Let b(h) = -12*h**3 + 12*h + 90. Let a(t) = -b(t) + 9*x(t). Let a(v) = 0. What is v?
-5, -3, 2
Let b(u) = 13*u - 39. Let d be b(3). Let r be (-1 - (d + 1)) + 18 + -12. Determine f so that 2/3*f**r + 0*f - 4/3*f**2 + 0 - 2/3*f**3 = 0.
-1, 0, 2
Suppose -49623*r + 49642*r - 76 = 0. Factor 2/3*o**2 + 0 + 0*o - 2/3*o**r + 0*o**3.
-2*o**2*(o - 1)*(o + 1)/3
Factor -2414*g**2 + 9*g + 0*g**3 - 2 - 3*g**4 + 11*g**3 + 2399*g**2.
-(g - 1)**3*(3*g - 2)
Suppose 0 = -25*n + 860 - 1637 + 852. Factor 0 + 0*t**n + 0*t + 4/11*t**4 + 0*t**2 - 2/11*t**5.
-2*t**4*(t - 2)/11
Let f(k) = k**3 - 2*k**2 - 3*k. Let o = -21 - -23. Let v(q) = -2*q**3 + 2*q**2 + 4*q. Let n(c) = o*v(c) + 3*f(c). Factor n(i).
-i*(i + 1)**2
Let y be 1 - 530/7 - (1 - -1). Let f = y - -77. Find m, given that f - 4/7*m**3 - 2/7*m**2 + 4/7*m = 0.
-1, -1/2, 1
Let w(b) be the first derivative of -4*b**5/25 + b**4 - 4*b**3/15 - 42*b**2/5 + 72*b/5 + 78