h) = w*a(h) + p(h). Factor i(m).
-m**3
Let c(l) be the first derivative of -14/55*l**5 - 1/33*l**6 - 24 - 50/33*l**3 - 19/22*l**4 - 16/11*l**2 - 8/11*l. Factor c(m).
-2*(m + 1)**3*(m + 2)**2/11
Let i(l) = 4*l**2 + 21*l - 86. Let c be i(-8). Factor 8/5 - 2/5*j**3 - 16/5*j + c*j**2.
-2*(j - 2)**2*(j - 1)/5
Suppose -25 = -5*h, -4*h = 233*d - 232*d - 22. Factor 3/10*l**3 + 0 + 0*l - 1/5*l**4 - 1/10*l**d.
-l**2*(l - 1)*(2*l - 1)/10
Let y = 19/42 - -3/14. Let u(r) be the first derivative of 0*r - 5 + 1/2*r**2 + y*r**3. Factor u(h).
h*(2*h + 1)
Let x = -5 + 8. Let l(f) be the first derivative of -2*f + 9 - 32/3*f**x + 8*f**2. Solve l(c) = 0 for c.
1/4
Let w(b) be the first derivative of -33*b**4/4 + 2*b**3 + 67. Determine n, given that w(n) = 0.
0, 2/11
Let g(y) be the first derivative of y**7/336 + y**6/36 + 5*y**5/48 + 5*y**4/24 - 28*y**3/3 + 28. Let k(q) be the third derivative of g(q). Factor k(m).
5*(m + 1)**2*(m + 2)/2
Let s(v) be the third derivative of -v**5/120 + v**4/12 + v**3 - v**2 - 123. Suppose s(d) = 0. Calculate d.
-2, 6
Let b(u) be the first derivative of 3*u**5/5 - 73*u**4/6 + 725*u**3/9 - 518*u**2/3 + 196*u/3 + 64. Let b(y) = 0. Calculate y.
2/9, 2, 7
Let -1776*d**3 - 16*d**2 + d**4 + 1778*d**3 + d**4 - 24*d = 0. Calculate d.
-2, 0, 3
Let a(l) be the second derivative of 0 + 1/5*l**5 - 1/15*l**6 + 0*l**4 - 37*l + 0*l**2 - 1/21*l**7 + 0*l**3. Solve a(t) = 0.
-2, 0, 1
Let w(z) = -3*z**3 + 15*z**2 - 20*z + 33. Let l be w(4). Factor 1/3*s**2 - 2/3*s - l.
(s - 3)*(s + 1)/3
Let x(y) be the second derivative of -y**6/30 - 14*y**5/5 + 115*y**4/12 - 29*y**3/3 - 192*y. Find j, given that x(j) = 0.
-58, 0, 1
What is k in 20/3*k**3 + 0 - 16*k**2 + 0*k - 2/3*k**4 = 0?
0, 4, 6
Let g(q) be the first derivative of -q**5/25 + 3*q**4/10 + 4*q**3/3 - 15*q**2 + 25*q + 523. Solve g(h) = 0.
-5, 1, 5
Let s be 2 + ((-12)/3)/(-2). Suppose 0*p**3 - s*p**3 + 33*p**4 - 13*p**4 - p**3 = 0. Calculate p.
0, 1/4
Let y(v) be the first derivative of 19 - 4/3*v**3 + 0*v - v**4 + 0*v**2. Factor y(b).
-4*b**2*(b + 1)
Let d(s) be the first derivative of -3*s**5/10 + 15*s**4/8 - 9*s**3/2 + 21*s**2/4 - 3*s + 71. Factor d(c).
-3*(c - 2)*(c - 1)**3/2
Let u(m) be the second derivative of m**5/60 - 5*m**4/24 - m**3 + m**2/2 + 14*m. Let v(t) be the first derivative of u(t). Determine b so that v(b) = 0.
-1, 6
Suppose 2*f + 2 = -2*j - 0, -3*f + 4*j = -32. Let v be -6*2/(-6) + f - 1. Let 1/3*a**v + 0 - 1/3*a + 2/3*a**4 + 0*a**3 - 2/3*a**2 = 0. Calculate a.
-1, 0, 1
Let u(q) = 2*q**3. Let t be u(1). Let c(p) be the third derivative of 0*p + 0 - 1/6*p**3 + 1/40*p**5 + 2*p**t - 5/48*p**4. Suppose c(r) = 0. What is r?
-1/3, 2
Let v be 1*2 - (414/32 - 11). Let a(p) be the second derivative of -7*p + 0*p**3 - v*p**4 + 0*p**2 - 1/80*p**5 + 0. Determine c so that a(c) = 0.
-3, 0
Let n(v) be the second derivative of -1/165*v**6 + 0*v**2 + 0*v**3 + 10*v + 0 - 1/66*v**4 - 1/55*v**5. Factor n(k).
-2*k**2*(k + 1)**2/11
Suppose 5*u = 4*b + 3, 5*u - 7 - 11 = -b. Suppose -y + s + 7 = -0*s, -b*y = 5*s - 5. Factor 12*o**3 + o - 4*o**3 - 8*o**2 + 12*o**4 + 4*o**y - 16*o - 4 + 3*o.
4*(o - 1)*(o + 1)**4
Let j = 53 - 50. Factor -26*w**2 - 25*w**j - 19*w**2 - 8*w - 16*w - 4.
-(w + 1)*(5*w + 2)**2
Suppose -4*k - 4*x = -4, -4*k + 4*x + 11 = -9. Determine r, given that -4/19 - 2/19*r + 2/19*r**k + 4/19*r**2 = 0.
-2, -1, 1
Let t(n) be the third derivative of n**5/480 + n**4/12 - 17*n**3/48 + 78*n**2. Factor t(b).
(b - 1)*(b + 17)/8
Let g be (-3)/8 - ((-762)/112 + 6). Factor 0 + 3/7*l - g*l**2.
-3*l*(l - 1)/7
Let j be 1 + -9 - 3608/(-451). Factor 0*v**2 + 4/15*v**3 + 0 + j*v - 2/15*v**4.
-2*v**3*(v - 2)/15
Let u(y) = -6*y**3 + 6*y**2 - 2. Let l(m) = -25*m**3 + 24*m**2 + m - 9. Let d(t) = -7*t + 40. Let v be d(6). Let a(j) = v*l(j) + 9*u(j). Solve a(r) = 0.
0, 1/2, 1
Let p = 21/10 - 83/30. Let k = 1 + p. Factor 0 + 4/3*w**3 + 2/3*w - 5/3*w**2 - k*w**4.
-w*(w - 2)*(w - 1)**2/3
Let d(t) be the first derivative of 8/3*t**3 - 2*t + 3*t**2 - 10. Determine q so that d(q) = 0.
-1, 1/4
Let j(f) be the second derivative of 1/5*f**2 + 19*f + 0 + 1/90*f**4 - 4/45*f**3. Factor j(h).
2*(h - 3)*(h - 1)/15
Factor 72/7*u**2 - 96/7 + 4/7*u + 20/7*u**3.
4*(u - 1)*(u + 3)*(5*u + 8)/7
Suppose -6 = 4*o - 22. Suppose -3*n + 5*c = -11, -2*n - o + 3 = 5*c. Factor -2 + 2*y - 1/2*y**n.
-(y - 2)**2/2
Let u(t) be the third derivative of t**7/105 + 2*t**6/15 + 3*t**5/5 - 9*t**3 + 181*t**2. Factor u(x).
2*(x - 1)*(x + 3)**3
Let l(j) be the third derivative of 11*j**6/720 - j**5/18 - j**4/36 - 162*j**2. Factor l(d).
d*(d - 2)*(11*d + 2)/6
Let u(f) = -8*f**2 + 20*f + 60. Let t = -51 + 52. Let m(c) = c**2 - 1. Let l(w) = t*u(w) + 10*m(w). Factor l(j).
2*(j + 5)**2
Let j(f) be the second derivative of -f**7/1260 + f**6/180 + f**4/12 - f**2 - 6*f - 5. Let l(p) be the third derivative of j(p). Solve l(t) = 0 for t.
0, 2
Suppose -7*k + 694 = 666. Let c(a) be the second derivative of -1/189*a**7 + 0*a**3 + 0*a**2 - 1/30*a**5 - 1/45*a**6 - 1/54*a**k + 0 + 2*a. Factor c(j).
-2*j**2*(j + 1)**3/9
Let b be 12/(4 - 1)*1. Determine o, given that 19*o**5 + 36*o**b - 48*o**2 + 56*o**3 + 16 - 40*o - 35*o**5 - 4 = 0.
-1, 1/4, 1, 3
Let t(i) = -2*i**4 - 70*i**3 - 576*i**2 + 654*i. Let v(o) = -4*o**4 - 140*o**3 - 1152*o**2 + 1306*o. Let p(u) = -5*t(u) + 3*v(u). Factor p(z).
-2*z*(z - 1)*(z + 18)**2
Factor -1/3*o**3 - 21*o - 27 - 5*o**2.
-(o + 3)**2*(o + 9)/3
Let z(d) = -4*d**4 - 3*d**3 + 3*d**2 + 5*d + 6. Let s(t) = -5*t**4 - 4*t**3 + 3*t**2 + 6*t + 8. Let b(k) = 3*s(k) - 4*z(k). Determine m so that b(m) = 0.
-1, 0, 2
Let r(g) be the first derivative of -3*g**4/28 - g**3 + 120*g**2/7 + 1728*g/7 - 318. Factor r(j).
-3*(j - 9)*(j + 8)**2/7
Let p = -3033659/130 - -23336. Let s = 3233/910 + p. Factor 54/7*i**3 + 46/7*i**4 + 4/7*i + 2*i**5 + s*i**2 + 0.
2*i*(i + 1)**3*(7*i + 2)/7
Let m(h) be the third derivative of h**5/20 + 7*h**4/192 - h**3/8 + 6*h**2. Solve m(o) = 0.
-2/3, 3/8
Suppose 0*m - 12/7*m**2 + 24/7*m**4 + 0 + 22/7*m**3 - 10/7*m**5 = 0. What is m?
-1, 0, 2/5, 3
Let g(b) be the second derivative of -b**6/6 - b**5 + 5*b**4/2 + 10*b**3/3 - 25*b**2/2 + 2*b - 3. Determine z so that g(z) = 0.
-5, -1, 1
Factor -3/5*c + 2/5 + 1/5*c**2.
(c - 2)*(c - 1)/5
Suppose 23*k**5 - 46*k**5 - 9*k**4 + 16*k**5 + 10*k**5 + 12*k**2 = 0. What is k?
-1, 0, 2
Suppose i - 1 = k, -2*k + i + 3 = 4*i. Suppose -s + 3*s - 6 = k. Factor 28 + s*l - 22 - l**2 - 2*l**2.
-3*(l - 2)*(l + 1)
Factor -740*n**2 + 1498*n**2 + 75645 - 1230*n - 753*n**2.
5*(n - 123)**2
Suppose w**2 - 45*w - 11*w**2 - 3*w**2 + 8*w**2 = 0. Calculate w.
-9, 0
Factor 0 - 3/4*z**4 + 0*z**3 + 21/4*z**2 - 9/2*z.
-3*z*(z - 2)*(z - 1)*(z + 3)/4
Let s = 444 + -2218/5. Determine i so that -s*i**2 + 4/5*i + 0 = 0.
0, 2
Let d = 11 - 9. Let g = 1 + d. Factor -2*m + 3*m**2 - 2*m**2 - m**3 - 1 + g*m.
-(m - 1)**2*(m + 1)
Let k(l) = 18*l**3 + 54*l**2 + 63*l + 27. Let j(s) = 37*s**3 + 107*s**2 + 125*s + 55. Let d(u) = 2*j(u) - 5*k(u). Factor d(h).
-(h + 1)*(4*h + 5)**2
Let s(b) be the first derivative of -b**6/30 - b**5/5 + 10*b**2 - 2. Let w(j) be the second derivative of s(j). Factor w(y).
-4*y**2*(y + 3)
Let k(o) be the third derivative of -9*o**8/728 + o**7/91 + 187*o**6/780 + 19*o**5/130 - 19*o**4/39 + 4*o**3/13 + o**2 + 5*o. Let k(r) = 0. Calculate r.
-2, -1, 2/9, 1/3, 3
Let s(f) be the second derivative of -14*f + 0 - 19/3*f**3 - 6*f**2 + 7/6*f**4. Factor s(w).
2*(w - 3)*(7*w + 2)
Let j(b) be the second derivative of b**7/560 - b**6/80 + 3*b**5/80 - b**4/16 - 4*b**3/3 - 8*b. Let i(q) be the second derivative of j(q). Factor i(c).
3*(c - 1)**3/2
Factor -3/2 + 5/4*b + 7/4*b**2 - 5/4*b**3 - 1/4*b**4.
-(b - 1)**2*(b + 1)*(b + 6)/4
Determine y, given that 0 - 6*y - 3/2*y**3 + 6*y**2 = 0.
0, 2
Let z(v) be the second derivative of 0*v**2 + 0*v**3 + 0 + 8*v + 0*v**4 - 1/25*v**6 - 1/70*v**7 - 3/100*v**5. Factor z(u).
-3*u**3*(u + 1)**2/5
Let w(k) = 57*k**2 - 129*k + 96. Let v(a) = -7*a**2 + 16*a - 12. Let x be 16/6*(-9)/6. Let q = 0 - x. Let g(h) = q*w(h) + 33*v(h). Suppose g(s) = 0. What is s?
2
Let l(n) be the second derivative of n**3 + n + 1/20*n**5 - 5/8*n**4 + 1/20*n**6 - n**2 + 0. Let c(s) be the first derivative of l(s). Factor c(y).
3*(y - 1)*(y + 2)*(2*y - 1)
Let r be 74/333 + (-80)/(-126). Let w(q) be the first deriv