0*s + 6*s**2.
s*(s + 5)
Let k = 16 - 13. Let -4*r**2 + k*r**3 + 0*r**3 + r**3 = 0. Calculate r.
0, 1
What is z in -144*z + 6*z**4 + 24*z**2 - 2*z**4 - 2*z**4 + 20*z**3 + 0*z**4 = 0?
-6, 0, 2
Suppose -184*o + 180*o - 25 = 5*c, 2*o - 5*c - 25 = 0. Factor 10*m**3 - 20*m + 40*m**2 + o - 30*m**4 - 45/4*m**5.
-5*m*(m + 2)**2*(3*m - 2)**2/4
Let s be ((-722)/1140 + 2/6)*-24. Factor -2/5 - 44/5*m**3 - 26/5*m**4 - 6/5*m**5 - s*m**2 - 14/5*m.
-2*(m + 1)**4*(3*m + 1)/5
Let z(y) = 25*y**2 + 322*y + 522. Let o(c) = -5*c**2 - 64*c - 104. Let b(n) = 11*o(n) + 2*z(n). Solve b(l) = 0.
-10, -2
Let w = -90 - -92. Let p(o) be the first derivative of 1/2*o**4 + 3*o**w - 2*o - 2 - 2*o**3. Factor p(q).
2*(q - 1)**3
Let h be ((-15)/9)/((-3)/(-18)). Let n be (-2)/h - (-63)/35. Factor -3*q**4 + n*q**2 - 2*q**2 + 3 + 6*q**3 - 6*q.
-3*(q - 1)**3*(q + 1)
Let q(g) be the third derivative of -1/70*g**5 + 21*g**2 + 0*g + 1/14*g**3 - 1/140*g**6 + 1/784*g**8 + 1/56*g**4 + 0 + 1/490*g**7. Factor q(a).
3*(a - 1)**2*(a + 1)**3/7
Let q = -24 - -29. Suppose -21 = -q*u + 29. Find g such that -37*g + 12*g - 7*g**2 + u - 8*g**2 = 0.
-2, 1/3
Suppose 5*i + 70 = 5*l, 0 = -4*l + i + 19 + 40. Suppose -2*s = -w + 5, -3*s = -2*w - 2*w + l. Solve -12 + k + 9*k**2 - k - w*k**3 = 0 for k.
-1, 2
Let j(o) = 19*o**4 - 26*o**3 + 23*o**2 - 9*o + 7. Let c(a) = 10*a**4 - 13*a**3 + 12*a**2 - 5*a + 4. Let m(i) = -7*c(i) + 4*j(i). Factor m(y).
y*(y - 1)**2*(6*y - 1)
Let y(z) be the first derivative of -4*z**5/5 + 3*z**4 - 8*z**3/3 + 285. Let y(i) = 0. What is i?
0, 1, 2
Let i be (25/(-30))/(15/32*236/(-177)). Factor 2/3*v - i*v**2 - 2*v**3 + 0.
-2*v*(v + 1)*(3*v - 1)/3
Factor 1/7*m**4 + 2/7*m**3 + 0*m + 0 + 1/7*m**2.
m**2*(m + 1)**2/7
Let j(p) = 47*p**3 + 57*p**2 - 10*p - 12. Let g(r) = r**3 - 3*r**2 + r + 3. Let m(v) = 4*g(v) + j(v). Factor m(u).
3*u*(u + 1)*(17*u - 2)
Factor 0 - 4/7*b**4 + 12/7*b**3 + 4/7*b**2 - 12/7*b.
-4*b*(b - 3)*(b - 1)*(b + 1)/7
Let d(c) = 13*c**3 - 51*c**2 + 106*c. Let i(r) = -84*r**3 + 332*r**2 - 688*r. Let y(f) = 32*d(f) + 5*i(f). Find t, given that y(t) = 0.
0, 3, 4
Let d(c) be the second derivative of -1/4*c**4 + 0*c**3 - 1/10*c**6 - 5 + 0*c**2 + 3/10*c**5 - c. Determine g so that d(g) = 0.
0, 1
Let r(j) = 5*j**2 - 8*j + 11. Let n(d) = 14*d**2 - 24*d + 32. Let x(u) = -3*n(u) + 8*r(u). Factor x(y).
-2*(y - 2)**2
Let w(c) be the second derivative of -3*c**5/140 + 29*c**4/84 - 3*c**3/7 + 42*c. What is j in w(j) = 0?
0, 2/3, 9
Let d(a) be the second derivative of 5*a**7/42 + 2*a**6/3 - 3*a**5/2 - 5*a**4/3 + 25*a**3/6 + 83*a. Factor d(x).
5*x*(x - 1)**2*(x + 1)*(x + 5)
Let o be (-6)/9 + (-17)/(-3). Suppose -4*v + 0*v - 8 = 4*q, -2*v = -o*q + 25. Factor g + 6*g**4 - 6*g**2 + 4*g - g - 4*g**q.
2*g*(g - 1)*(g + 1)*(3*g - 2)
Factor 5 - 18*j**2 - 4 + 17*j**2.
-(j - 1)*(j + 1)
Let x be 21/12 - (-3)/12. Let h = 2 - x. Suppose 0 + h*v - 2/5*v**2 = 0. What is v?
0
Let p(n) be the second derivative of 3*n**5/100 + n**4/20 - 5*n**3/2 - 15*n**2/2 - 95*n. Factor p(v).
3*(v - 5)*(v + 1)*(v + 5)/5
Factor -15*c**2 + 28*c - 3*c**2 - 23*c**3 + 25*c**3.
2*c*(c - 7)*(c - 2)
Let k(w) be the second derivative of w**6/15 - 4*w**5/5 + 7*w**4/2 - 22*w**3/3 + 8*w**2 + 39*w. Factor k(a).
2*(a - 4)*(a - 2)*(a - 1)**2
Let k = -51 - -54. Suppose -s + 12 = 4*t + s, -3*t + k*s = -18. Factor -3/4*q**t + 0 + 3/4*q**2 - 3/2*q**3 + 3/2*q.
-3*q*(q - 1)*(q + 1)*(q + 2)/4
Suppose -3 - 75 = -3*o. Suppose 23*w + 12 = o*w. Solve -2156/3*k**5 + 48*k + 80/3*k**2 + 16/3 - 2164/3*k**3 - 1799*k**w = 0.
-2, -2/7, -2/11, 1/4
Let p be -2 - (340/(-16))/1. Let y = p + -37/2. Factor 3/4 - 3/2*b + y*b**2.
3*(b - 1)**2/4
Let p(b) = -b**3 + b**2 - b. Let l(g) = -g**4 + 12*g**3 - 10*g**2 + 4*g + 3. Let o(z) = -3*l(z) - 24*p(z). Factor o(i).
3*(i - 3)*(i - 1)**2*(i + 1)
Let d(n) be the first derivative of 5*n**3/3 - 25*n**2/2 - 330*n + 353. Determine z so that d(z) = 0.
-6, 11
Let r(c) be the third derivative of -c**5/60 - c**4/8 + 2*c**3/3 - 19*c**2 - 1. Factor r(m).
-(m - 1)*(m + 4)
Let h(l) = 2*l - 4. Let a be h(3). Determine t, given that 25*t**2 - 3*t - 28*t**2 + t**3 + 0*t + a*t + 3 = 0.
-1, 1, 3
Let m(f) = -22*f - 484. Let v be m(-22). Let k(o) be the third derivative of v*o + 1/18*o**3 + 0 - 1/180*o**5 - 9*o**2 + 1/72*o**4 - 1/360*o**6. Factor k(w).
-(w - 1)*(w + 1)**2/3
Let d(l) = -17*l**2 + 9*l**3 - 6 - 6*l**4 + 26*l**2 + 5*l**5 - 13*l**2. Let s(v) = -v**5 + v**4 - v**3 + v**2 + 1. Let c(t) = d(t) + 6*s(t). Factor c(p).
-p**2*(p - 2)*(p + 1)**2
Let q(a) = -a**2 - 16*a + 105. Let z be q(-21). Let x(h) be the second derivative of -14/15*h**3 + z - 49/60*h**4 - 2/5*h**2 - 4*h. Factor x(f).
-(7*f + 2)**2/5
Let r(t) = t**3 + 2*t**2 - t. Let f(z) = 11*z**3 + 1182*z**2 - 594*z + 75. Let j(k) = -f(k) - 5*r(k). Solve j(o) = 0 for o.
-75, 1/4
Let a(j) be the first derivative of j - 3/4*j**2 + 1/6*j**3 - 13. Let a(p) = 0. Calculate p.
1, 2
Suppose 3 + 3 = a + 2*j, 3*a = -2*j + 10. Factor 4*b + 157*b**a - 177*b**2 + 0*b + 3*b**3 + 27*b**4.
b*(b + 1)*(3*b - 2)*(9*b - 2)
Let r(v) be the second derivative of v**6/10 - 3*v**5/4 + 3*v**4/2 - 2*v - 42. Let r(d) = 0. What is d?
0, 2, 3
Let z(v) be the second derivative of 0 - 2/21*v**7 - 2/3*v**4 + 2/3*v**3 + 0*v**2 + 14*v + 0*v**5 + 4/15*v**6. Factor z(s).
-4*s*(s - 1)**3*(s + 1)
Suppose -4*f + 6 = -6. Let n = 8 + -6. Factor -f*u**4 + 4*u**4 - 2*u**2 + 3*u**n + 0*u**2 - 2*u**3.
u**2*(u - 1)**2
Let n = 1393 - 1388. Factor 0 + 1/4*p**2 + 1/2*p - 15/4*p**3 + 19/4*p**4 - 7/4*p**n.
-p*(p - 1)**3*(7*p + 2)/4
Let -3*o + 201*o**2 + 200*o**2 - 398*o**2 - 3 - 15 = 0. Calculate o.
-2, 3
Let u be 0/(1*5/5). Let v(i) be the second derivative of -4*i + 0*i**4 + 0*i**3 + u*i**5 - 1/126*i**7 + 0*i**2 + 0 - 1/90*i**6. Factor v(x).
-x**4*(x + 1)/3
Factor 8*l**2 - 4/5*l**3 - 288/5 - 48/5*l.
-4*(l - 6)**2*(l + 2)/5
Let b(c) be the third derivative of c**5/390 - c**4/156 - 2*c**3/39 - 44*c**2. Solve b(s) = 0 for s.
-1, 2
Let p = 33 - 21. Let d(s) = s**4 + s**3 + s. Let r(h) = 5*h**4 - h**3 + 9*h**2 - 3*h + 2. Let a(m) = p*d(m) - 3*r(m). Determine n, given that a(n) = 0.
1, 2
Let k = 3/16276 - -406867/179036. Suppose 10/11*p - 1/11*p**2 - k = 0. Calculate p.
5
Let o = -352 + 354. Let m(l) be the second derivative of 0 + 0*l**4 + 1/24*l**3 - 1/40*l**5 + 1/168*l**7 + 0*l**6 - 5*l + 0*l**o. Solve m(j) = 0.
-1, 0, 1
Let g = 1053912/1279709 + -2/75277. Factor 16/17*k**2 - g*k + 0 - 2/17*k**3.
-2*k*(k - 7)*(k - 1)/17
Let q be (4 + -1)*(-11 - (-1111)/99). Factor -q*m**2 + 2/3*m**3 - 4/3*m + 0.
2*m*(m - 2)*(m + 1)/3
Let c be (-30)/(-25) - (-2)/(-10). Let v be 7*2*c/21. Determine f, given that 0 - v*f + 1/3*f**2 = 0.
0, 2
Let a be (7/(14/(-45)))/(-6). Determine f, given that 5/2*f**2 - 5/4*f**5 - 5/2 - a*f + 0*f**4 + 5*f**3 = 0.
-1, 1, 2
Let a(p) be the first derivative of p**6/36 + 2*p**5/15 - p**4/24 - 2*p**3/9 - 490. Suppose a(r) = 0. Calculate r.
-4, -1, 0, 1
Let c(y) = 23*y**2 - 24. Let i(f) = -8*f**2 + 8. Let d(j) = -6*c(j) - 17*i(j). Factor d(o).
-2*(o - 2)*(o + 2)
Let b(x) be the third derivative of -729*x**6/200 - 378*x**5/25 - 109*x**4/40 - x**3/5 + 218*x**2. Factor b(j).
-3*(j + 2)*(27*j + 1)**2/5
Let t(j) be the third derivative of j**7/3360 + j**6/240 + 3*j**5/160 + 5*j**4/4 + 4*j**2. Let v(p) be the second derivative of t(p). Factor v(r).
3*(r + 1)*(r + 3)/4
Suppose 40*w - 18 = 37*w. Let v be -6*w/(-72)*2/5. Factor 0 - v*z**4 + 2/5*z + 3/5*z**2 + 0*z**3.
-z*(z - 2)*(z + 1)**2/5
Suppose -241 = -26*w - 163. Let l(p) be the second derivative of 6*p**2 + 1/3*p**4 + 11*p + 8/3*p**w + 0. Factor l(f).
4*(f + 1)*(f + 3)
Let z(h) be the first derivative of 5/9*h**3 - 13/6*h**2 - 2*h - 9. Factor z(r).
(r - 3)*(5*r + 2)/3
Let a(t) = t + 2. Let j be a(-5). Let r be 2*j/18*-9. Let k + 2 + 5*k**5 - r*k**2 + 2*k**4 - k**2 - 4*k**5 - 2*k**3 = 0. Calculate k.
-2, -1, 1
Suppose 0 = 2*q + 3 - 7. Let b(z) = 36*z**4 - 57*z**3 + 15*z**2. Let d(h) = 5*h**4 - 8*h**3 + 2*h**2. Let v(y) = q*b(y) - 15*d(y). Find k such that v(k) = 0.
0, 2
Suppose 0 = f - 2. Factor 5*g + 0*g + 2*g**3 - 11*g**2 - 3*g + 7*g**f.
2*g*(g - 1)**2
Let x = -23 + 16. Let d(p) = 22*p**4 - 53*p**3 + 68*p**2 - 23*p + 7. Let s(n) = 7*n**4 - 18*n**3 + 23*n**2 - 8*n + 2. Let y(b) = x*s(b) + 2*d(b). Factor y(t).
-5*t*(t - 2)*(t - 1)**2
Let z(y) be the second derivativ