- 1)/3
Suppose -10 = -2*h + 2*d, -3*h - 2*d + 11 = 1. Factor -8 - 12*w**3 + 12*w - 8*w**h - 4*w**4 - 9*w**4 + 4*w**2 + 25*w**4.
4*(w - 2)*(w - 1)**2*(w + 1)
Factor 57*u - 71 - 60*u**2 + 294*u - 134*u**3 + 137*u**3 - 188 - 227.
3*(u - 9)**2*(u - 2)
Let v(s) = 2*s - 2. Let f be v(3). Let b be 30*(2/f)/1. Factor -1 + 2*q**2 - 7*q**2 + b*q - 9.
-5*(q - 2)*(q - 1)
Factor 108/5*l + 72/5*l**2 + 4*l**3 + 2/5*l**4 + 54/5.
2*(l + 1)*(l + 3)**3/5
Let v be 0 - (-16)/(2 + 2). Factor -159*y**3 + 9*y**v - y**2 + 135*y**3 + 13*y**2.
3*y**2*(y - 2)*(3*y - 2)
Let r(z) be the second derivative of 1/14*z**7 + 2/5*z**6 + 0*z**3 + 3/4*z**5 + 1/2*z**4 - 2 - 7*z + 0*z**2. Solve r(n) = 0.
-2, -1, 0
Let x(a) be the second derivative of -5*a**4/12 - 175*a**3/6 + 185*a**2 + 117*a + 1. Suppose x(b) = 0. What is b?
-37, 2
Let k(z) = z**2 + 9*z + 6. Let y be k(-8). Let o be (-12)/(-20)*y/6 + 1. Factor o*w**2 + 6/5*w + 2/5.
2*(w + 1)*(2*w + 1)/5
Factor 4/5*u + 2 - 1/10*u**2.
-(u - 10)*(u + 2)/10
Let q(k) = 2*k**3 - k**2 - 5*k + 5. Let d(l) = -l**2 + l - 1. Let x(z) = -2*z**2 + z + 2. Let c be x(-1). Let t(j) = c*q(j) - 5*d(j). Solve t(g) = 0 for g.
0, 3
Let a be ((-6)/(-4) - 494/338)/(2/8). Factor -a*w**3 - 2/13*w**2 + 2/13*w**5 + 0 + 0*w + 2/13*w**4.
2*w**2*(w - 1)*(w + 1)**2/13
Let w(d) = -d**4 + 208*d**3 + 2695*d**2 - 218*d - 2704. Let t(p) = 208*p**3 + 2696*p**2 - 216*p - 2704. Let o(r) = -5*t(r) + 4*w(r). Factor o(q).
-4*(q - 1)*(q + 1)*(q + 26)**2
Let f(t) be the first derivative of 2/15*t**3 + 4/5*t**2 + 6/5*t + 6. Suppose f(p) = 0. Calculate p.
-3, -1
Let c(r) be the second derivative of r**4/60 - r**3/5 - 8*r**2/5 - 99*r. Factor c(h).
(h - 8)*(h + 2)/5
Find c such that 8/5 + 0*c - 2/5*c**2 = 0.
-2, 2
Let o(h) be the third derivative of h**7/1260 + h**6/180 + h**5/60 - h**4/3 + 15*h**2. Let z(s) be the second derivative of o(s). Factor z(a).
2*(a + 1)**2
Let w be (21 + 871/(-39))*24/(-11). Factor 2/11*l**4 + 48/11*l**2 - 64/11*l + w - 16/11*l**3.
2*(l - 2)**4/11
Let n(g) be the third derivative of g**9/1890 + g**8/840 + g**7/1008 + g**6/2880 - 7*g**4/8 + 13*g**2. Let l(o) be the second derivative of n(o). Factor l(s).
s*(2*s + 1)*(4*s + 1)**2/4
Let l(s) be the second derivative of 0*s**2 - 1/4*s**3 + 0 - 9*s + 1/24*s**4. Suppose l(u) = 0. What is u?
0, 3
Let v(h) = 15*h**3 + 10*h**2 - 55*h - 20. Let c(o) = -5*o**3 - 3*o**2 + 18*o + 5. Let n(x) = 10*c(x) + 3*v(x). Factor n(s).
-5*(s - 1)**2*(s + 2)
Let l be -1*(81/(-135) - 3/(-5)). Let z(t) be the first derivative of 0*t + 2/25*t**5 + 0*t**3 + l*t**2 - 1/10*t**4 - 8. Let z(u) = 0. What is u?
0, 1
Let y(k) be the third derivative of 0 + 0*k - 1/7*k**3 - 8/105*k**5 - 5/21*k**4 - 50*k**2 + 16/105*k**6. Factor y(w).
2*(4*w - 3)*(4*w + 1)**2/7
Let k(i) be the first derivative of 2*i**3/39 - 18*i**2/13 - 126*i/13 - 300. Solve k(f) = 0 for f.
-3, 21
Let r(j) be the first derivative of -j**7/105 + j**6/180 + j**5/45 + 6*j**2 - 2. Let v(g) be the second derivative of r(g). Factor v(w).
-2*w**2*(w - 1)*(3*w + 2)/3
Let l(p) be the second derivative of p**8/36960 + p**7/4620 - p**6/660 - 2*p**5/165 + 35*p**4/12 - 20*p. Let v(x) be the third derivative of l(x). Factor v(f).
2*(f - 2)*(f + 1)*(f + 4)/11
Suppose -2*u = 5*m - 19, -25*u + 30*u = 10. Solve -4*y**2 + 7/3*y**m + 0 - 4/3*y = 0.
-2/7, 0, 2
Let v(h) be the second derivative of -2/5*h**5 - 49/4*h**2 - 1/60*h**6 - 26*h - 28/3*h**3 + 0 - 13/4*h**4. Factor v(u).
-(u + 1)**2*(u + 7)**2/2
Let i(z) be the third derivative of -z**5/40 + z**4/4 - 3*z**3/4 + z**2 + 18*z. Factor i(o).
-3*(o - 3)*(o - 1)/2
Suppose -5*a + 2*n + 173 = 0, a - n - 25 = 9. Suppose 28*r + 21 = a*r. Determine c, given that 1/2*c**r + 1/2 + 3/2*c + 3/2*c**2 = 0.
-1
Suppose -60 = -4*z - 40. Suppose -2*n + 52 = -2*a, -a - 148 = -z*n - 2*a. Factor -n*t - 169*t**2 - 9*t - 14*t - 5 + 1.
-(13*t + 2)**2
Let i(p) be the first derivative of -p**5 + 15*p**4/4 + 5*p**3 - 35*p**2/2 - 30*p - 145. Factor i(z).
-5*(z - 3)*(z - 2)*(z + 1)**2
Let t = -40 - -76. Find p, given that -40*p**2 - p + 0 - 4*p**3 + 21*p + t*p**2 - 12 = 0.
-3, 1
Let c(o) = 6*o**2 + 19*o - 6. Let r be c(-6). Let b be (0 - -1)*60/r. Factor y + 3/8 + b*y**2.
(y + 1)*(5*y + 3)/8
Let j(a) = 2*a**3 - 12*a**2 - 39*a - 53. Let o(d) = -5*d**3 + 24*d**2 + 76*d + 107. Let r(w) = 14*j(w) + 6*o(w). Factor r(h).
-2*(h + 2)*(h + 5)**2
Let y(g) = g**3 - 11*g**2 + 8*g + 13. Let f be y(7). Let c = -127 - f. Factor -2/5*x + 4/5*x**3 + c - 2/5*x**2.
2*x*(x - 1)*(2*x + 1)/5
Let i(s) be the third derivative of -s**6/24 + 5*s**5/12 + 5*s**4/3 - 10*s**3 + s**2 + 62. Factor i(q).
-5*(q - 6)*(q - 1)*(q + 2)
Suppose 0 = 4*z - 23 - 93. Factor 26 + 4 - 6*l - 18*l**2 - z*l - 7*l**2.
-5*(l + 2)*(5*l - 3)
Determine m so that 1/4*m**3 + 3/4*m**2 + 1/4*m**5 - 1/2*m + 0 - 3/4*m**4 = 0.
-1, 0, 1, 2
Suppose -4*w - 167 + 145 = -15*w. Let -5/3 - 4/3*p + 1/3*p**w = 0. Calculate p.
-1, 5
Suppose u + 3*z = 5*z - 23, -5*u = -5*z + 95. Let j be (18/u*-5)/5. What is c in -4/5*c - j*c**2 + 0 = 0?
-2/3, 0
Let -270 - 5*a**5 - 10*a**3 - 240*a**2 - 12*a**4 + 777*a - 282*a - 34*a**4 + 76*a**4 = 0. What is a?
-3, 1, 2, 3
Let m(i) = -7*i - 3. Let g be m(-1). Solve 772*s - 4*s**2 - 772*s + 10*s**3 - 10*s**5 + 4*s**g = 0 for s.
-1, 0, 2/5, 1
Let g(i) be the second derivative of 0*i**2 + 1/4*i**5 + 5/12*i**4 + 0*i**3 + 0 - 5*i. Suppose g(v) = 0. Calculate v.
-1, 0
Let n(f) = 15*f**2 - 3*f - 18. Let t be n(-6). Solve -t*s + 2949*s**3 + 8 + 7166*s**3 + 510*s**2 + 32 = 0 for s.
-2/7, 2/17
Let g(z) be the third derivative of -z**7/105 - 29*z**6/140 - 109*z**5/210 + 5*z**4/28 + 44*z**3/21 - 8*z**2 + 48*z. Determine s, given that g(s) = 0.
-11, -1, 4/7
Let v(d) be the second derivative of -d**5/12 - 5*d**4/6 - 5*d**3/2 - 8*d**2 + 4*d. Let m(i) be the first derivative of v(i). Determine q so that m(q) = 0.
-3, -1
Factor 423*j**3 - 63*j - 48*j**2 - 426*j**3 - 450 - 192*j.
-3*(j + 5)**2*(j + 6)
Let b(p) be the second derivative of 9*p**5/4 + 15*p**4/2 - 10*p**3/3 - 20*p**2 - 15*p. Solve b(a) = 0 for a.
-2, -2/3, 2/3
Let f(l) = -99*l**3 - 861*l**2 + 3*l + 20736. Let h(v) = v**4 + 98*v**3 + 862*v**2 - 2*v - 20736. Let t(w) = 2*f(w) + 3*h(w). Factor t(d).
3*(d - 4)*(d + 12)**3
Let v(u) be the second derivative of 0*u**2 + 0*u**3 + 0 + 1/10*u**5 - 1/45*u**6 + 17*u - 1/9*u**4. Let v(g) = 0. Calculate g.
0, 1, 2
Let r be (4 + -3)*9/5. Let q be (-249)/(-465) - 16/(-248). Factor 0 - q*v**3 - 6/5*v - r*v**2.
-3*v*(v + 1)*(v + 2)/5
Let t(w) = w**3 + 10*w**2 + 10*w + 12. Let i be t(-9). Suppose -4*n + z = -6, i*n - 2*n + 2*z - 6 = 0. Let 5 + 2*r + 32*r**5 - n - 3 - 34*r**3 = 0. What is r?
-1, -1/4, 0, 1/4, 1
Let x(v) = v**3 + 4*v**2 - 6*v - 3. Suppose 5*h = -3*q - 13, 0 = -4*h + 3*q - 8*q. Let j be x(h). Factor 10*z**j - 7*z**5 + 12*z**5 - 10*z**4 + z - z - 5*z**3.
5*z**2*(z - 2)*(z - 1)*(z + 1)
Suppose -4*w + 4*g + 12 = 0, 2*w + 155 = -3*g + 146. Suppose -2*x**3 + 1/2*x**2 + 5/2*x**4 - x**5 + w*x + 0 = 0. What is x?
0, 1/2, 1
Let f = -18 - -20. Let z = -3/113 + 354/565. Let 2/5 + 1/5*k**f + z*k = 0. What is k?
-2, -1
Let t = -12 + 36. Determine f so that -4 + 12*f**2 - 4*f + 4*f**3 - t*f**2 + f**4 + 15*f**2 = 0.
-2, -1, 1
Factor -y**4 - 6*y**3 + 70*y - 66*y + 3*y**3.
-y*(y - 1)*(y + 2)**2
Let c(a) be the first derivative of -17 - 8/21*a**2 + 4/7*a**3 + 5/42*a**4 + 0*a. Factor c(j).
2*j*(j + 4)*(5*j - 2)/21
Suppose -2*s = -5*a - 0*a - 16, -4*s = 5*a - 2. Suppose -2*c + 4*c = -3*v, 0 = 2*v + s*c + 5. Suppose 7/4*t + 5/4*t**v - 1/2 - t**3 = 0. Calculate t.
-1, 1/4, 2
Let z be (-55)/25 + (-2178)/(-540). Solve 1/3*y + 0 - z*y**2 = 0 for y.
0, 2/11
Let q(w) be the third derivative of -w**8/560 + w**7/70 - w**6/50 - 4*w**5/25 + 4*w**4/5 - 8*w**3/5 + 3*w**2 - 59. What is v in q(v) = 0?
-2, 1, 2
Let z(j) be the first derivative of -j**4/4 + 4*j**3/3 - 2*j**2 + 3*j + 7. Let x be z(3). Factor 2/9*w**5 + 0 + 2/3*w**4 + 2/9*w**2 + 2/3*w**3 + x*w.
2*w**2*(w + 1)**3/9
Let 0*y + 1/5*y**5 + 0*y**3 - 4/5*y**2 + 3/5*y**4 + 0 = 0. What is y?
-2, 0, 1
Let a = -19 + 21. Determine x, given that a*x + 3*x + x + 0*x + 2*x**2 = 0.
-3, 0
What is c in -6/5*c**2 + 8/5 + 4/5*c**3 - 8/5*c + 2/5*c**4 = 0?
-2, 1
Let w(q) = -6*q + 2. Let l(k) = 13*k - 5. Let y(a) = 3*l(a) + 7*w(a). Let s be y(-1). Find j such that 1/5*j**s + 1/5 + 2/5*j = 0.
-1
Let v(f) 