1 - 2 = 0.
-1/4, 1
Let t(q) = 2*q**3 - 12*q**2 + q - 1. Let s be t(6). Let y(n) be the first derivative of 18/5*n + s - 6/5*n**2 + 2/15*n**3. Factor y(o).
2*(o - 3)**2/5
Suppose -9 - 6 = z. Let c = 33/2 + z. Let -9/2*p + 0 - c*p**2 = 0. What is p?
-3, 0
Let h be ((-72)/70)/(75/(-175)). Factor -8/5*v**2 + 0 + 2/5*v + 2/5*v**5 + h*v**3 - 8/5*v**4.
2*v*(v - 1)**4/5
Let m(o) be the first derivative of 361*o**4/6 - 304*o**3/9 + 16*o**2/3 - 111. Factor m(u).
2*u*(19*u - 4)**2/3
Let i = -92 - -89. Let k be (3 + i)*(0 - 1). Factor -8/9*m**4 + 0*m - 2/9*m**5 - 8/9*m**3 + k + 0*m**2.
-2*m**3*(m + 2)**2/9
Factor -1/5*h**5 - 6859/5 + 2527*h - 11*h**4 - 950*h**2 - 194*h**3.
-(h - 1)**2*(h + 19)**3/5
Let -106/11*y + 4 - 10/11*y**2 = 0. What is y?
-11, 2/5
Let g be (-7 - (-27 + -6))/2 - 11. Factor 3/2*i**g + 0 + 0*i.
3*i**2/2
Suppose 265*k + 127 = -13*k + 1239. Determine b, given that 1/7*b**3 + 0*b + 0 - 1/7*b**k + 2/7*b**2 = 0.
-1, 0, 2
Let f = 16 + -11. Suppose 0 = -p + f*p - 8. What is o in 2 - 3*o**2 - 3*o + 3*o**3 + 4 - 3*o**p = 0?
-1, 1, 2
Let v(c) = -c**3 + 5*c**2 + 8*c - 9. Let b be v(6). Let y be (-3 - (-9)/b)/(-1). Factor -1/2*s**4 + y*s - 1/2*s**2 - s**3 + 0.
-s**2*(s + 1)**2/2
Let f(u) be the third derivative of -u**8/728 - 29*u**7/1365 - 49*u**6/390 - 21*u**5/65 - 9*u**4/52 + 9*u**3/13 - u**2 - u. Find t such that f(t) = 0.
-3, -1, 1/3
Let d(p) = 5 - 15 - p + 4. Let w be d(-8). Factor f**5 - 79*f**3 + 79*f**3 - w*f**5 - 2*f**4.
-f**4*(f + 2)
Solve 0 - 2/3*v**4 + 8/3*v**3 + 4*v + 22/3*v**2 = 0.
-1, 0, 6
Let y be ((-16)/156)/(18/3591). Let i = y + 2174/91. Factor i*k + 36/7 + 4/7*k**2.
4*(k + 3)**2/7
Let i(j) be the first derivative of 4*j - 2/3*j**3 - j**2 - 2. Factor i(z).
-2*(z - 1)*(z + 2)
Let o(f) = f**2 + 9*f + 6. Let x be o(-9). Let s be 1/(x/(-4) + 2). Suppose -3*y**2 + 8*y**2 + 6*y + 10*y**s + 3*y**4 + 6*y**3 + 6*y**3 = 0. Calculate y.
-2, -1, 0
Let m(k) = -5*k**4 - 26*k**3 - 304*k**2 - 1000*k + 4. Let l(r) = 14*r**4 + 79*r**3 + 911*r**2 + 3000*r - 11. Let i(x) = -4*l(x) - 11*m(x). Factor i(b).
-b*(b + 10)**3
Let 9/4*i**2 + 3/4*i + 3/4*i**4 + 0 + 9/4*i**3 = 0. What is i?
-1, 0
Suppose -74*u + 78 = -48*u. Suppose -4/13*y**u + 14/13*y**2 - 14/13*y + 4/13 = 0. What is y?
1/2, 1, 2
Let l(m) be the second derivative of -m**5/10 - 8*m**4/3 - 49*m**3/3 + 66*m**2 - 2*m - 400. Factor l(w).
-2*(w - 1)*(w + 6)*(w + 11)
Let y be ((-4)/(-132))/(2/142). Let x = y - 20/11. Factor 0*n - x*n**2 + 1/3.
-(n - 1)*(n + 1)/3
Let y(f) be the second derivative of f**4/48 - 19*f**3/6 + 361*f**2/2 + 3*f + 41. Solve y(m) = 0.
38
Factor -1/6*i**4 - 1/2*i**3 + 0 + 0*i**2 + 2/3*i.
-i*(i - 1)*(i + 2)**2/6
Let k(g) be the third derivative of -g**8/560 - 13*g**7/1050 - g**6/75 + g**5/25 - 51*g**2 - 1. Determine s so that k(s) = 0.
-3, -2, 0, 2/3
Let h be 222/(-2)*(-20)/(-30). Let w = h - -75. Find f, given that f - 1/4*f**2 - w = 0.
2
Suppose 0*k = -2*k + 2. Suppose 0 = -4*m + 5*y + 20, 5*m + 4*y - k = -17. Find u such that -2/3*u**2 - 14/3*u**4 - 2*u**5 + m + 0*u - 10/3*u**3 = 0.
-1, -1/3, 0
Let z(o) be the second derivative of -o**4/4 + 109*o**3/2 + 165*o**2 - 144*o + 3. Determine y, given that z(y) = 0.
-1, 110
Let u = -3883 - -3886. Factor 10/21*r**u - 4/21*r**2 + 0*r + 0.
2*r**2*(5*r - 2)/21
Factor f**4 - 337*f**2 - 4*f + 2*f**3 + 5*f**4 + 2*f**5 + 331*f**2.
2*f*(f - 1)*(f + 1)**2*(f + 2)
Let l be (-1 - 1)/(-2)*2. Let u = 15325/4 + -3831. Factor -u + 1/4*k**l + 0*k.
(k - 1)*(k + 1)/4
Let p = -12820 - -12820. Factor 2/15*a**5 + 0 - 2/5*a**3 + p*a**4 + 0*a + 4/15*a**2.
2*a**2*(a - 1)**2*(a + 2)/15
Let o be ((23625/120)/21)/(2/24). Factor -3/2*l**3 - 45/2*l**2 - 375/2 - o*l.
-3*(l + 5)**3/2
Let o be (-1)/(-15) - 440/6600. Factor 4/5*j**4 + 0*j + 4*j**2 - 24/5*j**3 + o.
4*j**2*(j - 5)*(j - 1)/5
Let x(j) be the third derivative of 4*j**2 + 3/2*j**5 + 7/3*j**4 + 0*j + 0 + 4/3*j**3 - 7/15*j**6 - 7/15*j**7. Solve x(r) = 0 for r.
-1, -2/7, 1
Let p(r) be the second derivative of -r**7/189 + r**6/27 + r**5/15 - 16*r**4/27 - 32*r**3/27 - 9*r + 2. Find d, given that p(d) = 0.
-2, -1, 0, 4
Let t(c) = c**3 + 5*c**2 + 4*c + 2. Let h be t(-4). Suppose -6 = -h*x - 0. Determine k, given that -3*k**2 + 3*k**3 - k**2 + 3*k**x - 2*k**3 = 0.
0, 1
Let y(j) = -4*j - 25. Let r be y(-6). Let i be -3 - ((-12)/4 + 6/r). Suppose -i*v - 2*v**2 - 6 - 2/9*v**3 = 0. What is v?
-3
Let y(m) be the second derivative of 2*m**2 + 0 - 1/540*m**6 - 1/27*m**3 + 1/108*m**4 + 1/270*m**5 + 7*m. Let j(z) be the first derivative of y(z). Factor j(r).
-2*(r - 1)**2*(r + 1)/9
Determine o, given that 4/9*o - 2/3*o**2 + 2/9*o**3 + 0 = 0.
0, 1, 2
Let b(z) be the second derivative of z**6/15 - 28*z**5/5 + 109*z**4/6 - 18*z**3 + z + 3. Factor b(v).
2*v*(v - 54)*(v - 1)**2
Let k be (12/54 + (-17)/36)*288/(-20). Factor k*o**2 - 3/5*o**3 - 27/5*o + 0.
-3*o*(o - 3)**2/5
Let u(x) be the third derivative of -x**6/30 - x**5/3 - 2*x**4/3 - 515*x**2. Factor u(f).
-4*f*(f + 1)*(f + 4)
Suppose -5*j + 6 = 2*a + 2, 3*j = 4*a - 8. Let g(c) be the third derivative of 2/33*c**3 - 5/132*c**4 - 1/660*c**6 + 0 + 3*c**a + 0*c + 2/165*c**5. Factor g(m).
-2*(m - 2)*(m - 1)**2/11
Find k such that 4*k**4 + 2/3*k**5 + 2*k**3 - 16*k + 0 - 52/3*k**2 = 0.
-4, -3, -1, 0, 2
Let a be (-18)/(-63)*(2 - 1). Let n(q) = -q - 3. Let l be n(-3). Factor 0 + a*y**3 - 2/7*y**2 + l*y.
2*y**2*(y - 1)/7
Find x such that 0 - 16/5*x**2 - 12/5*x - 4/5*x**3 = 0.
-3, -1, 0
Let j be -3 - (-5 + (-3)/(-1)). Let v = 0 - j. Factor y**5 - v + 1 - 3*y**5.
-2*y**5
Let c(o) be the second derivative of -3*o**5/20 + 2*o**4 + 45*o**3/2 + 54*o**2 - 284*o. Solve c(x) = 0 for x.
-3, -1, 12
Suppose -24 = -56*d + 50*d. Find z such that -2*z + 2/11*z**d - 18/11*z**2 - 8/11 - 2/11*z**3 = 0.
-1, 4
Suppose 43 + 11 = 6*o. Let g be (1/4)/(o - 8). Factor 0*m + g*m**4 + 1/4*m**5 - 1/4*m**3 - 1/4*m**2 + 0.
m**2*(m - 1)*(m + 1)**2/4
Find v such that 56*v**3 + 2472*v - v**4 - 396*v**2 - 1331 - 30*v**3 + 8*v**3 - 778*v = 0.
1, 11
Let n be ((-3)/(-9))/((-1)/(-9)). Suppose 0*h + 12 = n*h + 4*t, 0 = -t. Solve 5*j**4 - 3*j**h + j**3 - 3*j**5 + j**5 + 3*j**5 = 0 for j.
-1, 0
Factor -1618*d + 629*d + 2187 - 28*d**3 - 140*d**3 - 906*d + 3*d**4 + 2514*d**2 - 2641*d.
3*(d - 27)**2*(d - 1)**2
Let j = 107 + -103. Let k(p) be the second derivative of -11/4*p**j + 3/10*p**6 - 6*p**2 + 1/14*p**7 + 5*p - 6*p**3 - 3/20*p**5 + 0. Factor k(l).
3*(l - 2)*(l + 1)**3*(l + 2)
Let c = -2/9673 + 19356/48365. Let m be (2/30)/((-2)/(-8)). Factor 2/15*o**2 - c*o + m.
2*(o - 2)*(o - 1)/15
Let x(w) be the first derivative of 8*w**3/63 + 12*w**2/7 + 54*w/7 + 19. Suppose x(a) = 0. Calculate a.
-9/2
Let v(n) be the first derivative of 0*n**2 + 0*n**3 + 37 - 9/8*n**4 + 6/5*n**5 + 0*n - 1/4*n**6. Factor v(b).
-3*b**3*(b - 3)*(b - 1)/2
Let t(q) be the third derivative of 1/30*q**5 + 5/12*q**4 + 0*q + 0 + 4*q**2 + 0*q**3. Factor t(n).
2*n*(n + 5)
Suppose 4*z - z = 0. Let f = 4808 + -4804. Factor 2/7*r**f + 0*r**2 + 0 - 2/7*r**3 + z*r.
2*r**3*(r - 1)/7
Suppose 10*n - 124 = 8*n. Let b be (-2)/10 + (-3 - n/(-10)). Factor -2/11*v**b - 2/11*v + 4/11*v**2 + 0.
-2*v*(v - 1)**2/11
Let w(d) = 9*d**5 - 33*d**4 - 196*d**3 - 501*d**2 - 450*d - 125. Let a(n) = n**5 - n**2. Let p(o) = 22*a(o) - 2*w(o). Find g, given that p(g) = 0.
-5, -1, -1/2
Let k(c) be the first derivative of 6 - 1/6*c + 0*c**2 + 1/18*c**3. Factor k(t).
(t - 1)*(t + 1)/6
Let o(b) be the first derivative of -b**3/3 + b**2 + 15*b + 18. Suppose o(p) = 0. Calculate p.
-3, 5
Let t(w) be the second derivative of -w**6/120 - 9*w**5/80 - w**4/2 - 5*w**3/6 - 6*w + 22. Let t(b) = 0. What is b?
-5, -2, 0
Let l(j) be the second derivative of j**5/50 + 9*j**2/2 + 9*j. Let n(q) be the first derivative of l(q). Let n(v) = 0. Calculate v.
0
Factor -1/4*s**3 - 19 - 37/2*s**2 + 151/4*s.
-(s - 1)**2*(s + 76)/4
Suppose -51 = -4*g - c - 2*c, -g + 17 = 5*c. Let y be (g/(-16))/(6/(-16)). Find x, given that 0*x + 2/3*x**y - 2/3 = 0.
-1, 1
Let n = -85 - -96. Suppose -18*t = -n*t. Solve 1/2*y**4 + 0*y + 0*y**2 + t - 1/2*y**3 = 0.
0, 1
Let n(m) = 5*m**4 + 4*m**5 - 43*m**2 + 43*m**2 - 5 - 9*m**3. Let u(c) = 12*c**5 + 16*c**4 - 28*c**3 - 16. Let r(k) = -16*n(k) + 5*u(k). Solve r(y) = 0 for y.
-1, 0, 1
Let f(p) = p + 6. Let a be f(5). Factor 4*t**4 + 18*t + a*t**4 - 140*t**3 - 57*t**2 + 164*t**3.
3