at is b?
-2, 0, 3/5
Factor 8*u + 104 + 2/13*u**2.
2*(u + 26)**2/13
Let a(o) = 4*o**2 - 1. Let p be a(-1). Find c, given that 3 - 23*c**4 + 20*c**4 + 6*c + 3 - 3 - 6*c**p = 0.
-1, 1
Factor 56104*z**2 - 248768*z - z**5 + 7*z**5 + 6880*z**3 - 17000*z**2 + 296*z**4 - 2*z**5 + 143902 + 137314.
4*(z - 2)**2*(z + 26)**3
Suppose -23 = -6*v - 5. Factor -35*s**4 + 16*s**4 + 14*s**4 - 10*s**2 - 15*s**v.
-5*s**2*(s + 1)*(s + 2)
Let u(l) = 6*l**3 - 6*l**2 - 4*l - 4. Let y(v) = -v**3 + v + 1. Let c(f) = u(f) + 4*y(f). Factor c(h).
2*h**2*(h - 3)
Let g(b) be the second derivative of -b**5/100 + b**4/10 + b**3/30 - 3*b**2 - 214*b. Determine f so that g(f) = 0.
-2, 3, 5
Let l(c) be the third derivative of -1/40*c**6 + 25*c**2 + 1/60*c**5 + 0 + 1/12*c**4 + 0*c**3 + 0*c. Factor l(i).
-i*(i - 1)*(3*i + 2)
Let h(b) be the second derivative of -b**8/336 - b**7/210 + 7*b**2 - 4*b. Let u(n) be the first derivative of h(n). Factor u(w).
-w**4*(w + 1)
Solve 6722/3*b**2 + 2/3*b**4 + 76*b**3 + 4256*b + 6272/3 = 0 for b.
-56, -1
Let r(p) be the third derivative of -2*p**7/15 - p**6/6 + 3*p**5/5 + 5*p**4/6 - 4*p**3/3 + 2*p**2 + 195. Find q, given that r(q) = 0.
-1, 2/7, 1
Let a be (3 + (-11 - (-129)/15))/((-18)/(-20)). Factor 1/6*m**5 + m**3 - 4/3*m + 0 - a*m**2 + 5/6*m**4.
m*(m - 1)*(m + 2)**3/6
Let q(h) = -3*h**3 + h**2 + 3*h - 20. Let n(a) = -a**3 + a**2 + a - 1. Let m(p) = 2*n(p) - q(p). Let c be m(0). Factor -12 - c*l - 3/2*l**3 - 9*l**2.
-3*(l + 2)**3/2
Let q(a) = 20*a**3 - 274*a**2 + 104*a + 12. Let c(x) = 40*x**3 - 547*x**2 + 208*x + 22. Let m(p) = 6*c(p) - 11*q(p). Find k, given that m(k) = 0.
0, 2/5, 13
Let -169/2 + 12*b**3 - 1/2*b**4 - 59*b**2 - 156*b = 0. Calculate b.
-1, 13
Let m(l) = l**2 + 21*l + 22. Let h be m(-20). Factor 850 - 854 + 17*q**h + q**2 + 34*q.
2*(q + 2)*(9*q - 1)
Let y be 18/135 + (-124)/30. Let l be ((-1)/6)/(y/36). Find a, given that l*a**2 + 2*a**3 - 2*a + 1/2*a**4 - 2 = 0.
-2, -1, 1
Determine b, given that 288/7*b + 6*b**3 - 192/7*b**2 - 3/7*b**4 + 0 = 0.
0, 4, 6
Let z(g) be the third derivative of -g**6/900 - g**5/150 + g**4/180 + g**3/15 + 3*g**2 + 4*g. Factor z(h).
-2*(h - 1)*(h + 1)*(h + 3)/15
Suppose -2073*n = -2065*n - 40. Let x = 467 - 1859/4. Determine w, given that 1/4*w**n + 21/4*w + 3/4*w**4 - x - 5/2*w**2 - 3/2*w**3 = 0.
-3, 1
Let r(g) be the third derivative of g**5/75 + 11*g**4/15 - 46*g**3/15 - 92*g**2 - 1. Factor r(f).
4*(f - 1)*(f + 23)/5
Let h(t) be the second derivative of t**4/54 - 14*t**3/27 - 5*t**2/3 + 301*t. Factor h(r).
2*(r - 15)*(r + 1)/9
Let q(s) be the first derivative of -5*s**3/12 + 6*s**2 - 27*s/4 + 83. Factor q(g).
-(g - 9)*(5*g - 3)/4
Let f(h) be the second derivative of -h**6/20 + 3*h**5/5 + h**4/8 - 2*h**3 + 151*h. Factor f(t).
-3*t*(t - 8)*(t - 1)*(t + 1)/2
Let t(u) be the first derivative of -u**3 - 132*u**2 - 5808*u - 22. Factor t(s).
-3*(s + 44)**2
Let z(u) = 24*u**2 + 15*u + 11. Let v(m) = -13*m**2 - 8*m - 6. Let s(p) = 11*v(p) + 6*z(p). Solve s(q) = 0.
-2, 0
Let m(l) be the second derivative of -1/3*l**4 + 0 - 50*l**2 + 7*l - 20/3*l**3. Determine n so that m(n) = 0.
-5
Suppose 0*s + s + 7 = 0. Let z = 9 + s. Let 5 - 5 + 2*h**2 - z*h**4 = 0. What is h?
-1, 0, 1
Find n such that 498*n - 2*n**4 - 468*n + 18*n**2 - 80*n**2 + 34*n**3 = 0.
0, 1, 15
Let n(d) = 152*d - 71*d - 82*d - d**2 + d**3. Let p(x) = 22*x**3 - 37*x**2 + 8*x + 6. Let r(y) = n(y) - p(y). Factor r(u).
-3*(u - 1)**2*(7*u + 2)
Determine p, given that 4*p + 6*p**3 - 31*p**3 - p**4 - 105*p**2 + 302 + 15*p**2 - 182 - 8*p**3 = 0.
-30, -2, 1
Factor 14*g**2 + 11*g**2 + 70*g**3 - 35*g**3.
5*g**2*(7*g + 5)
Let h(f) = f**3 + f - 1. Let j(t) = 5*t**3 - 40*t**2 + 15*t + 30. Let v(g) = 10*h(g) - j(g). Suppose v(c) = 0. What is c?
-8, -1, 1
Let d(x) = -3*x + 4 - 77*x**3 + 80*x**3 + 4*x. Let r(a) be the first derivative of a**4/4 + a - 1. Let o(t) = d(t) - 4*r(t). Find w such that o(w) = 0.
-1, 0, 1
Solve -36/7*d - 15/7*d**5 + 51/7*d**3 + 3/7*d**2 + 9/7*d**4 - 12/7 = 0.
-1, -2/5, 1, 2
Let v(d) be the third derivative of d**5/540 - d**4/108 - 35*d**2. Factor v(b).
b*(b - 2)/9
Suppose 0*o + 0 - 8/3*o**3 + 8/3*o**2 + 2/3*o**5 - 2/3*o**4 = 0. What is o?
-2, 0, 1, 2
Let q(y) = 4*y**2 + 8*y - 15. Suppose 5*w - 21 = -6. Let o(i) = 8*i**2 + 16*i - 29. Let h(g) = w*o(g) - 5*q(g). Solve h(u) = 0.
-3, 1
Let u(l) be the second derivative of -2*l**7/105 + l**6/10 + l**5/15 - l**4/2 + 8*l**2 - 11*l. Let o(r) be the first derivative of u(r). Factor o(h).
-4*h*(h - 3)*(h - 1)*(h + 1)
What is i in 1/3*i**4 - 12*i + 4/3*i**3 - 5/3*i**2 - 12 = 0?
-3, -2, 3
Let c be (24*29/(-290))/(2/(-5)). What is i in 27/2*i + 3/2*i**3 + c + 9*i**2 = 0?
-4, -1
Find m such that -25*m**4 - 4*m**5 + 136 + 5*m**4 + 32*m**2 + 133 - 8*m**3 - 269 = 0.
-4, -2, 0, 1
Let v(t) be the first derivative of 5*t**3/3 + 5*t**2/2 - 30*t + 32. Find d, given that v(d) = 0.
-3, 2
Suppose -5*p + h + 19 = 0, -2*p + 271 = -3*h + 253. Factor 9/4*j**3 + 0 + 0*j**2 - p*j - 3/4*j**4.
-3*j*(j - 2)**2*(j + 1)/4
Let a = 20251/20 - 1013. Let i = -1/20 - a. Factor -2/5*f**2 + 0*f + 6/5*f**3 - 6/5*f**4 + 0 + i*f**5.
2*f**2*(f - 1)**3/5
Suppose -j - 292 = -4*y + 3*j, -4*y + j + 292 = 0. Let o = y - 73. Solve 8/5*n**2 + 0*n - 4/5*n**3 + o = 0 for n.
0, 2
Let w(s) be the first derivative of 3*s**5/20 - 3*s**4/4 - 3*s**3/4 + 15*s**2/4 + 6*s + 459. What is j in w(j) = 0?
-1, 2, 4
Let x(u) be the third derivative of u**6/300 + u**5/5 + 21*u**4/5 + 392*u**3/15 + 83*u**2. Suppose x(y) = 0. Calculate y.
-14, -2
Let y be (0 + 0)*(-19 + 20). Let y*t - 4/9*t**5 + 0 - 4/9*t**2 - 2/9*t**4 + 10/9*t**3 = 0. Calculate t.
-2, 0, 1/2, 1
Suppose t**4 + t**5 + 9*t - 40*t**2 - 2*t - 8*t**3 + t + 8*t + 4*t**4 + 80 = 0. What is t?
-5, -2, 2
Let m be 18/15*-1*162/(-243). Suppose -8 = 10*q - 14*q. Suppose 6/5*h + 4/5 - m*h**q = 0. What is h?
-1/2, 2
Let a be (-2)/12 + (7/35)/(42/13235). Let 100/7*r**5 - 284/7*r**3 - a*r**2 + 80/7*r**4 - 32/7 - 208/7*r = 0. What is r?
-1, -2/5, 2
Suppose 23*u = 51*u - 18*u. Find c, given that 0*c - 1/5*c**4 + 0*c**2 + 1/5*c**5 + 0 + u*c**3 = 0.
0, 1
Solve i**3 - 613 - 601 + 1222 + 6*i**2 + 12*i = 0.
-2
Let s = 2/29 + 52/87. Let c be 5/((-60)/(-36))*(-4)/(-6). Factor 0*j + 0 - s*j**c - 2/3*j**3.
-2*j**2*(j + 1)/3
Let q(w) be the second derivative of -w**7/2940 + w**6/252 - w**3/3 - 18*w. Let g(j) be the second derivative of q(j). Suppose g(l) = 0. Calculate l.
0, 5
Let f be ((-12)/(-18))/((-2)/(-6)). Suppose -6 - 15*c + 3 - 10 - c**3 + 4 - 7*c**f = 0. What is c?
-3, -1
Let t = 9 - 7. Factor 4 + 14*f - 17*f + t*f**2 - 3*f**2.
-(f - 1)*(f + 4)
Find a such that 25*a**2 - 21*a - 26*a**2 + 12 + 10 + 0 = 0.
-22, 1
Let z(g) be the second derivative of -g**7/84 + 7*g**6/45 - g**5/4 - 5*g**4/18 + 11*g**3/12 - 2*g**2/3 - 65*g. Determine c so that z(c) = 0.
-1, 1/3, 1, 8
Let j(r) be the first derivative of r**6/21 + 22*r**5/35 - 25*r**4/14 + 26*r**3/21 + 374. Suppose j(f) = 0. What is f?
-13, 0, 1
Let b = 137 - 92. Let h = b - 43. Factor 1/2*r + 1/2 - r**h.
-(r - 1)*(2*r + 1)/2
Suppose -9*s = -2*s - 28. Determine r so that -r - 3*r**2 + 1 + 0*r**2 - s + 11*r = 0.
1/3, 3
Let r(f) be the third derivative of 1/228*f**6 + 0*f + 0 + 7/570*f**5 + 1/76*f**4 + 0*f**3 + 1/1995*f**7 + 35*f**2. Factor r(c).
2*c*(c + 1)**2*(c + 3)/19
Suppose 3*w - 88 = 32. Let h = w + -77/2. Suppose 0*q + h*q**2 + 0 = 0. Calculate q.
0
Let a = 133 + -131. Factor -10/11*y - 6/11*y**a - 4/11.
-2*(y + 1)*(3*y + 2)/11
Let g = -59 - -61. Find x, given that -7*x - g - 245*x - 6 - 4 - 1323*x**2 = 0.
-2/21
Let f(t) be the third derivative of t**8/224 + t**7/70 - 3*t**6/80 - t**5/5 - t**4/4 + 23*t**2 - 7. Find v such that f(v) = 0.
-2, -1, 0, 2
Let o(n) = 4*n**3 + n**2 - 9*n + 5. Suppose 0 = -11*b + 3*b + 8. Let z(y) = y**3 + y**2 - 1. Let u(c) = b*o(c) - z(c). Factor u(l).
3*(l - 1)**2*(l + 2)
Let r(o) be the first derivative of 3*o**5 - 9*o**4 + 4*o**3 + 432. Factor r(m).
3*m**2*(m - 2)*(5*m - 2)
Let j(f) be the first derivative of f**5/60 - f**4/8 - 2*f**3/3 - 9*f**2 + 40. Let w(u) be the second derivative of j(u). Determine d so that w(d) = 0.
-1, 4
Let f(v) be the first derivative of -3*v**5/10 + 5*v**4/3 - 4*v**3/3 + v**2 - 11. Let o(n) be the second derivative of f(n). Factor o(a).
-2*(a - 2)*(9*a - 2)
Let t(p) be the third derivative of -p**6/540 - 