0 = q*t - 10*t + 14. Suppose b**5 + 6*b**3 - 4*b**4 - 1 + t + b - 4*b**2 - 1 = 0. Calculate b.
0, 1
Let n(y) be the second derivative of -y**4/36 + y**3 + 9*y + 5. Factor n(i).
-i*(i - 18)/3
Let z = 3287/638325 - 2/2837. Let u(f) be the third derivative of 0*f**4 - z*f**5 + 0*f**6 + 0 + 9*f**2 + 1/1575*f**7 + 1/45*f**3 + 0*f. Factor u(w).
2*(w - 1)**2*(w + 1)**2/15
Let v be (-216)/(-270) + (-2)/10. Factor v*o**2 + 3/5*o - 3/5*o**3 - 3/5.
-3*(o - 1)**2*(o + 1)/5
Factor 624/7*c + 1/7*c**3 - 7*c**2 - 576/7.
(c - 24)**2*(c - 1)/7
Let d be ((-56)/84)/((-2)/(-3) - 2). Factor 0 - 3/4*l**2 + d*l.
-l*(3*l - 2)/4
Let u(c) = -8*c**4 - 34*c**3 - 44*c**2 - 36*c + 6. Let l(t) = t**4 - 3*t**2 + t - 1. Let i(r) = 6*l(r) + u(r). Find y, given that i(y) = 0.
-15, -1, 0
Let v(d) be the first derivative of 4*d**3/3 + 2*d**2 - 24*d - 434. Suppose v(s) = 0. What is s?
-3, 2
Let r(y) be the first derivative of -y**4/38 + 50*y**3/57 - 143*y**2/19 - 338*y/19 + 9. Let r(k) = 0. What is k?
-1, 13
Let w = -68626/5 + 13726. Solve 6/5*b**2 + b**3 - w*b - 8/5 + 1/5*b**4 = 0.
-2, 1
Let k(t) = t**3 + 10*t**2 + 19*t + 16. Let f be k(-8). Let a be 3*f/(-12) - 24/14. Factor -a*g**3 + 4/7 + 8/7*g**2 - 10/7*g.
-2*(g - 2)*(g - 1)**2/7
Let m(k) be the first derivative of -242*k**6/3 - 528*k**5/5 + 85*k**4 + 176*k**3 + 72*k**2 - 929. Let m(v) = 0. Calculate v.
-1, -6/11, 0, 1
Let h(j) be the second derivative of 0 + 0*j**4 + 0*j**2 + 0*j**5 + 0*j**3 - 2/15*j**6 - 13*j - 1/21*j**7. Factor h(l).
-2*l**4*(l + 2)
Let f(b) be the first derivative of -2*b**3/9 - 14*b**2/3 - 30*b + 149. Factor f(h).
-2*(h + 5)*(h + 9)/3
Let r be 3/4*(-1064)/(-171). Factor 1/3*m**5 - 2/3 - 16/3*m**2 - 2*m**4 + r*m**3 + 3*m.
(m - 2)*(m - 1)**4/3
Let k = -189 + 201. Let s be 4/k - (-56)/12. Suppose 0 - 1/3*p**2 + 0*p + p**3 - p**4 + 1/3*p**s = 0. Calculate p.
0, 1
Let o = -29 + 33. Let q(a) = a**2 - 3. Let f(j) = -j**2 + j + 4. Let w(r) = o*q(r) + 3*f(r). Determine l so that w(l) = 0.
-3, 0
Let m(w) be the third derivative of w**6/1440 - w**5/360 - w**4/96 - 90*w**2. What is j in m(j) = 0?
-1, 0, 3
Suppose 9 + 5 = 4*s + 2*j, 0 = -3*s - 5*j + 14. Let p(m) be the second derivative of -7/30*m**4 - 9/5*m**2 + 0 - 1/50*m**5 + 3*m - m**s. Solve p(x) = 0 for x.
-3, -1
Let h(g) be the second derivative of -g**5/20 - g**4/6 + 2*g**3/3 + 4*g**2 + 11*g. Let h(v) = 0. What is v?
-2, 2
Suppose 60 = k + 58. Factor 23*r**k + 18*r**4 - 30*r**3 + 30*r**2 - 2*r - 39*r**2.
2*r*(r - 1)*(3*r - 1)**2
Suppose 0 = 5*h + 5*x - 5, 12 = 9*h + 5*x - 13. Factor 1/5*r**2 + 2*r + h.
(r + 5)**2/5
Let x(v) be the third derivative of -2 + 13*v**2 + 0*v - 1/360*v**5 + 0*v**3 - 1/48*v**4. Determine p, given that x(p) = 0.
-3, 0
Let t = 2/4261 - -4257/8522. Factor 0*l**2 + 0 + 0*l + 0*l**3 - t*l**4.
-l**4/2
Let y(o) be the third derivative of -o**6/60 - 22*o**5/5 - 363*o**4 - 568*o**2. Factor y(d).
-2*d*(d + 66)**2
Let f(v) = v**4 - v**3 - v**2 + v + 1. Let n(b) = -b**5 - 4*b**4 + 6*b**3 + 4*b**2 - 5*b - 4. Let g(s) = 20*f(s) + 5*n(s). Factor g(o).
-5*o*(o - 1)**2*(o + 1)**2
Suppose 7 = 2*u + z, -8*z + 9*z = -5*u + 13. Find p, given that 3*p**u + 2*p**4 - 15*p**2 + 20*p**3 - 6*p**4 + 16*p - 20*p**2 = 0.
0, 1, 2
Find z such that 2/7*z - 12/7 + 8/7*z**2 + 2/7*z**3 = 0.
-3, -2, 1
Let w(v) = v**3 - 7*v**2 - 17*v - 6. Let z be w(9). Let 28*p**3 + 4*p**4 - 6*p + 2*p**4 - 4*p**2 - 24*p**z - 2 + 3*p**5 - p**5 = 0. What is p?
-1, 1
Let u(o) be the second derivative of 0 - 9/100*o**5 + 0*o**2 + 4*o - 1/5*o**3 + 7/20*o**4. Let u(r) = 0. What is r?
0, 1/3, 2
Let l(z) be the third derivative of z**7/280 + 9*z**6/80 + 113*z**5/80 + 69*z**4/8 + 45*z**3/2 + 40*z**2. Factor l(w).
3*(w + 1)*(w + 5)*(w + 6)**2/4
Let i(c) be the first derivative of c**6/7 - 62*c**5/35 - 23*c**4/14 + 22*c**3/21 - 67. Suppose i(k) = 0. Calculate k.
-1, 0, 1/3, 11
Let u(b) be the second derivative of b**6/42 - 3*b**5/20 + 11*b**4/28 - 23*b**3/42 + 3*b**2/7 - 116*b. Suppose u(d) = 0. Calculate d.
1, 6/5
Let b(j) = -2*j**2 + 18*j + 6. Let v be b(10). Let x be (-36)/v + 40/(-70). Factor 0*r + 2/15*r**3 + 0 + 4/15*r**x.
2*r**2*(r + 2)/15
Let z(o) be the first derivative of 8*o**6/15 - 72*o**5/25 + 33*o**4/20 - 4*o**3/15 - 97. Factor z(c).
c**2*(c - 4)*(4*c - 1)**2/5
Let l(r) be the second derivative of r**8/84 - 2*r**7/105 - r**6/30 + r**5/15 + 21*r**2/2 - 16*r. Let g(u) be the first derivative of l(u). Factor g(b).
4*b**2*(b - 1)**2*(b + 1)
Find w, given that 2*w**2 + 60 + 3*w**2 - 420 - 365*w - 3*w**2 - 7*w**2 = 0.
-72, -1
Let q(m) = 2*m - 11*m + 10*m**2 + 4*m + 14*m - 2*m**3 + 10*m**4. Let x(a) = -a**4 - a**2 - a. Let l(s) = -4*q(s) - 36*x(s). Find j, given that l(j) = 0.
0, 1
Let m(s) = 18*s**2 - 22*s - 24. Let n(h) = 49*h**2 - 64*h - 72. Let a(d) = 11*m(d) - 4*n(d). Factor a(t).
2*(t + 3)*(t + 4)
Suppose -20 = -32*x + 28*x. Factor -6/7*p**4 - 3/7*p**x - 96/7 + 24/7*p**3 + 48/7*p**2 - 48/7*p.
-3*(p - 2)**2*(p + 2)**3/7
Let t(k) be the second derivative of 0*k**2 + 2/3*k**3 + 0 + 2/5*k**5 - 4*k - k**4. Factor t(h).
4*h*(h - 1)*(2*h - 1)
Let h(u) = u + 4. Let d be h(-5). Let f be 3 + (0 - (-4 - -6) - d). Factor 0 + 72/11*s**f + 8/11*s + 162/11*s**3.
2*s*(9*s + 2)**2/11
Suppose 6 = 2*w, -1 = -3*c - w + 8. Determine q so that -12*q**2 + 5 + 41*q**2 - 17*q**c - 17*q**2 = 0.
-1, 1
Let a(c) be the second derivative of -c**6/480 - c**5/240 + c**4/48 + 6*c**2 - 2*c. Let j(v) be the first derivative of a(v). Factor j(g).
-g*(g - 1)*(g + 2)/4
Suppose -4*d - 3*s - 152 = 0, -5*d + 12*s - 155 = 7*s. Let a be (0 + 5/d)*-2. Factor 54/7*t - 18/7*t**2 - 54/7 + a*t**3.
2*(t - 3)**3/7
Let n(j) be the second derivative of 0 - 1/180*j**5 + 1/54*j**3 + 0*j**2 - 1/108*j**4 + 33*j + 1/270*j**6. What is p in n(p) = 0?
-1, 0, 1
Factor -1/4*o**3 - 5/2*o - 7/4*o**2 + 0.
-o*(o + 2)*(o + 5)/4
Let x(p) = -2*p**4 + 6*p**3 + 2*p**2 - 10*p + 2. Let r(w) = w**4 - w**3 + w**2 - w - 1. Let g(k) = 2*r(k) - x(k). Let g(l) = 0. What is l?
-1, 1
Suppose 34 = 9*p + 7. Factor -32 - 26 - p*z**2 + 58.
-3*z**2
Let w(o) be the third derivative of -o**6/40 - 2*o**5/5 + o**4/8 + 4*o**3 + 65*o**2. Factor w(k).
-3*(k - 1)*(k + 1)*(k + 8)
Let q = 2582 - 2580. Solve -2*y - 1/2*y**2 - q = 0 for y.
-2
Let z(u) be the third derivative of -4*u**7/735 + u**6/140 + u**5/42 - u**4/28 - u**3/21 - 255*u**2. Solve z(y) = 0 for y.
-1, -1/4, 1
Let n(f) = -3*f + 10. Let l be n(-7). Factor -10 - 3*a**2 - 24*a - 69 + l.
-3*(a + 4)**2
Let q(y) = -8*y**4 + 3*y**3 + 21*y**2 + 13*y. Let c(a) = -65*a**4 + 25*a**3 + 170*a**2 + 105*a. Let t = 5 + -2. Let p(h) = t*c(h) - 25*q(h). Factor p(j).
5*j*(j - 2)*(j + 1)**2
Factor 2*z + 12/5 + 2/5*z**2.
2*(z + 2)*(z + 3)/5
Suppose -13 = -2*l + 3. Suppose 9*p - l*p - 2 = 0. Factor -4/5 - 2/5*k**p - 6/5*k.
-2*(k + 1)*(k + 2)/5
Suppose -2*g + 50 = 3*g. Let b = -4 + g. Factor -3*j**3 + 9*j**2 + 18*j - b*j + 21*j**2 - 12*j**4 - 3*j**5 - 24.
-3*(j - 1)**2*(j + 2)**3
Let o = 4279/6423 - -1/2141. Factor -o*c - 8/3*c**2 + 0 - 4*c**3 - 2/3*c**5 - 8/3*c**4.
-2*c*(c + 1)**4/3
Let j(d) be the second derivative of -5/6*d**3 - d**2 + 1/4*d**5 + 3/4*d**4 + 0 - 7/30*d**6 + 21*d. Factor j(w).
-(w - 1)**2*(w + 1)*(7*w + 2)
Let g = -16/283 + 66836/849. Let p = -78 + g. Suppose p*c**2 + 5/3*c**4 + 0 + 7/3*c**3 + 0*c = 0. Calculate c.
-1, -2/5, 0
Let k be ((-252)/8)/(2/(-4)). Suppose 4*i - 17 = k. Find a such that 19*a + 0*a**4 - i*a - a**4 + a**3 + a**2 = 0.
-1, 0, 1
Let n(y) be the second derivative of -2*y**4/39 - 31*y**3/13 - 23*y**2/13 - 5*y + 5. Let n(u) = 0. What is u?
-23, -1/4
Let j(k) = -1. Let q(u) = u - 1. Let b(w) = j(w) + q(w). Let g be b(4). Factor -6 + 13*d**2 - 5*d**g + 3*d - 5*d**2.
3*(d - 1)*(d + 2)
Let u be 5550/1890 + 0 + 1 - 8/36. Solve -26/7*i**3 - 8/7 + u*i**4 - 6/7*i**5 - 18/7*i**2 + 32/7*i = 0.
-1, 1/3, 1, 2
Let a be (-213)/8*(-14)/(-21). Let i = -14 - a. Find d, given that -i*d**3 - 3/2*d + 0 - 21/4*d**2 = 0.
-1, -2/5, 0
Let p(w) be the second derivative of -w**7/21 + 7*w**6/15 + 4*w**5/5 - 53*w. Determine i so that p(i) = 0.
-1, 0, 8
Let m(v) = 4*v**2 - 60*v + 400. Suppose 72 = 4*y + 4*x, 37 + 29 = 3*y - 3*x. Let o(j) = j. Let b(n) = y*o(n) - m(n). Determine p so that b(p) = 0.
10
Let j(x) = -x**4 - x**3 - x**2 + x + 1. Let t(b) = 9*b**4 + 4*b**3 + 13*b**2 - 10*b - 8. Let w(i) = -24*j(i) - 3*t(i). Factor w(h)