p. Factor y(j).
2*(j - 5)*(j - 2)*(j - 1)/9
Let n be 1/3*-2*(-216)/112. Solve -n*d**5 + 3/7*d - 24/7*d**4 - 18/7*d**3 + 0*d**2 + 0 = 0 for d.
-1, 0, 1/3
Let u(y) be the second derivative of y**9/7560 + y**4/4 + 17*y. Let i(x) be the third derivative of u(x). Factor i(m).
2*m**4
Let l(h) be the third derivative of -h**7/525 + h**6/150 + h**5/30 - h**4/10 + 543*h**2. Factor l(y).
-2*y*(y - 3)*(y - 1)*(y + 2)/5
Let -48 + 14*f**3 + 2*f**5 - 17*f**4 - 36*f**2 + 34*f**4 - 88*f - 5*f**4 = 0. What is f?
-3, -2, -1, 2
Let l(t) be the first derivative of 2*t**3/3 - 52*t**2 + 1352*t - 120. What is c in l(c) = 0?
26
Let b(p) be the first derivative of -p**5/60 - p**4/18 + 2*p**3/9 - 9*p**2 - 16. Let d(h) be the second derivative of b(h). Solve d(w) = 0 for w.
-2, 2/3
Solve -5/3*x**2 - 425/3*x - 140 = 0 for x.
-84, -1
Let i(w) = 12*w**2 + 19*w + 5. Let f(u) = 14*u**2 + 20*u + 6. Let n(l) = -5*f(l) + 6*i(l). Factor n(s).
2*s*(s + 7)
Let m(u) be the second derivative of 1/75*u**6 - 1/30*u**4 - 1/50*u**5 + 0*u**2 + 0 - 15*u + 0*u**3 + 1/105*u**7. Find k such that m(k) = 0.
-1, 0, 1
What is p in -1 - 9*p + 1 + 743*p**2 - 740*p**2 = 0?
0, 3
Factor -15/4*d + 45/2 - 5/4*d**2.
-5*(d - 3)*(d + 6)/4
Suppose -2*u - 2654*t + 2651*t - 3 = 0, -3*u - 4*t - 3 = 0. Factor 0 - 16/19*c**2 - 32/19*c - 2/19*c**u.
-2*c*(c + 4)**2/19
Let c be (14/35)/(11/(495/6)). Let t(s) = s**3 + 2*s**2 - s + 1. Let o be t(-2). Solve 3/4*v**5 + 3/4*v**4 + 0*v - c*v**o - 3*v**2 + 0 = 0.
-2, -1, 0, 2
Suppose -4*g = 190 - 198. Suppose -8/5 - 12/5*j**g - 4*j = 0. What is j?
-1, -2/3
Solve 110/3*m**3 + 46*m**2 - 154/3*m**4 + 16/3 - 140/3*m + 10*m**5 = 0.
-1, 2/15, 1, 4
Let v(d) = 13*d**2 - 1176*d + 86436. Let w(l) = 16*l**2 - 1176*l + 86436. Let a(f) = 4*v(f) - 3*w(f). Suppose a(t) = 0. What is t?
147
Let b(y) be the third derivative of 0*y**3 + 0*y**5 + 1/210*y**7 + 0 + 0*y**4 - 1/120*y**6 + 13*y**2 + 0*y. Find r such that b(r) = 0.
0, 1
Suppose -2/11*f**2 + 0 - 46/11*f = 0. Calculate f.
-23, 0
Let k(p) = p**2 + 14*p + 5. Let a be k(0). Let -15/2*r**2 + 9/2*r**3 + 0 + 3*r + 3/2*r**4 - 3/2*r**a = 0. What is r?
-2, 0, 1
Let i(j) = 2*j**3 - 4*j**2 + 2. Let n = -4 - -7. Let h(q) = -3*q**2 - 5*q**3 + 3*q**n - q - 2 + 8*q**2. Let c(o) = 2*h(o) + 3*i(o). Factor c(d).
2*(d - 1)**2*(d + 1)
Factor 17*s**2 + 13*s**2 + 8*s**2 + 41*s**3 - 10*s**2 - 26*s**3 - 2 + 11*s.
(s + 1)**2*(15*s - 2)
Suppose -4*a = 2*p - 2, 0*a + 3*a - 15 = 3*p. Let b be 0/(-7) + p + (-7)/(-2). Determine q, given that -b*q**3 + 0 - q**2 + 0*q = 0.
-2, 0
Suppose -12 = 3*c + 3*p, -3*c - 18 = 102*p - 98*p. Factor -1/2*k + 0 - 1/6*k**3 - 2/3*k**c.
-k*(k + 1)*(k + 3)/6
Suppose -180 = 3*y + 3*l, 5*y + 439 - 144 = -4*l. Let o be (-528)/y*(-6)/(-8). Solve -6/5 - 21/5*t**3 - 9/5*t + o*t**2 = 0 for t.
-2/7, 1
Suppose -3*h = -3*q + 15, 0 = 5*q - q + 4*h - 12. Factor -70*p**q + 2*p**2 + 69*p**4 - p + p**3 - p**2.
-p*(p - 1)**2*(p + 1)
Let d(s) be the second derivative of s**4/84 - 43*s**3/42 + 3*s**2 - 13*s - 4. Factor d(l).
(l - 42)*(l - 1)/7
Let j(y) be the second derivative of y**5/80 - 5*y**4/48 + 7*y**3/24 - 3*y**2/8 - 130*y - 3. Determine v, given that j(v) = 0.
1, 3
Let o be (-4)/22 - 68*(-8)/88. Determine j so that 3*j**2 - 9/2*j**5 + o*j**3 - 3/2*j + 0 - 3*j**4 = 0.
-1, 0, 1/3, 1
What is q in 0 + 4/11*q**3 - 2/11*q**2 + 0*q - 2/11*q**4 = 0?
0, 1
Let p(r) = -5*r**4 - r**3 + 23*r**2 - r - 22. Let g(z) = z**4 + 2*z**3 - z**2 - z + 2. Let q(a) = -2*g(a) - p(a). Solve q(l) = 0 for l.
-2, -1, 1, 3
Let w(k) = -25*k**4 - 19*k**3 - 9*k**2 + 27*k + 26. Let c(z) = 9*z**4 + 6*z**3 + 3*z**2 - 9*z - 9. Let y(p) = -8*c(p) - 3*w(p). Let y(t) = 0. Calculate t.
-2, -1, 1
Let l(n) be the second derivative of 2*n**6/15 + n**5/5 - 3*n**4 - 6*n**3 - 113*n. Solve l(p) = 0.
-3, -1, 0, 3
Factor -2794*k**4 + 0*k**5 - 4*k**3 - k**5 + 2799*k**4.
-k**3*(k - 4)*(k - 1)
Let q = 1119 - 1113. Let d(c) be the third derivative of -1/225*c**q + 0*c + 1/15*c**4 - 1/225*c**5 + 7*c**2 + 1/5*c**3 + 0 + 1/1575*c**7. Factor d(n).
2*(n - 3)**2*(n + 1)**2/15
Let j(t) be the third derivative of -t**6/360 - t**5/60 - t**4/24 + 3*t**3/2 - 8*t**2. Let g(p) be the first derivative of j(p). Factor g(n).
-(n + 1)**2
Let o = 27/4 + -123/20. Let 0 - o*m**2 + 3/5*m - 3/5*m**3 + 3/5*m**4 = 0. Calculate m.
-1, 0, 1
Let l = 62761862 + -60063108784/957. Let h = 10/87 - l. Determine v so that -8/11 - 290/11*v**2 - 470/11*v**3 - 98/11*v**5 - h*v - 350/11*v**4 = 0.
-1, -2/7
Suppose l + 0*l - 2*g = -6, -6 = -3*g. Let m be (l - 18/(-12))*-4. Solve 2/3 - 2/3*j**3 + 2*j**m - 2*j = 0 for j.
1
Let t(l) = l**3 - l**2 + l. Let o(r) = -2*r**3 - 6*r + 4. Let q be (21/(-9) + 2)/(3/36). Let j(h) = q*t(h) - o(h). Factor j(w).
-2*(w - 2)*(w - 1)*(w + 1)
Let j(g) be the first derivative of -g**6/30 + 3*g**5/10 - 3*g**4/4 + 2*g**3/3 - 2*g - 7. Let i(z) be the first derivative of j(z). Suppose i(f) = 0. What is f?
0, 1, 4
What is a in 4/9*a**3 + 0 - 4/9*a**5 + 0*a - 8/9*a**2 + 8/9*a**4 = 0?
-1, 0, 1, 2
Let l be 132/232 + 50/(-725). Let j(h) = 2*h - 7. Let c be j(6). Factor i**2 - 1/2*i - l*i**4 + i**3 - 1/2 - 1/2*i**c.
-(i - 1)**2*(i + 1)**3/2
Suppose -3*p + 2*z - 7 = 0, -4*p + z = -3*z + 16. Let x be (p - 2)*1*-3. Factor -60*s**2 + x + 56*s**2 + 11*s + 5*s - 19.
-4*(s - 2)**2
Let n = -20629 - -20637. Determine w, given that -8/3*w + 2/3*w**3 + 0 - 2*w**4 + n*w**2 = 0.
-2, 0, 1/3, 2
Let g be 7 - (-119)/(-18) - 4/18. Let m(f) be the first derivative of -g*f**4 + 7/15*f**5 - 1/9*f**3 - 2/9*f**6 + 0*f**2 + 0*f - 3. Let m(o) = 0. What is o?
-1/4, 0, 1
Let p be (4/(-10))/(20/(-100)). Let i(x) be the third derivative of -1/30*x**5 + 1/240*x**6 + 0*x + 0 - 1/6*x**3 + 5/48*x**4 - x**p. Factor i(g).
(g - 2)*(g - 1)**2/2
Let x(m) = -m + 7. Let l be x(4). Let 16*s**2 - s**3 - s**3 - l*s**3 + s**3 = 0. Calculate s.
0, 4
Let j(n) be the second derivative of -n**4/36 + n**3/9 + 4*n**2/3 + 107*n. Factor j(l).
-(l - 4)*(l + 2)/3
Let t(b) be the first derivative of -5*b**3/6 - 125*b**2/4 - 115*b - 111. Determine f, given that t(f) = 0.
-23, -2
Let r = -3266 + 3268. Factor 4/11*f**r - 2/11*f**4 + 0*f + 0 - 2/11*f**3.
-2*f**2*(f - 1)*(f + 2)/11
Let y(g) be the third derivative of -g**6/40 - 3*g**5/20 - g**4/4 - 4*g**2. Let q(x) = 5*x**3 + 17*x**2 + 11*x. Let j(n) = 6*q(n) + 11*y(n). Factor j(b).
-3*b**2*(b - 1)
Find f, given that -70/9*f**2 - 8/9 + 16/3*f = 0.
2/7, 2/5
Determine s, given that 116/5*s**2 + 32/5*s - 192/5 + 8*s**3 + 4/5*s**4 = 0.
-4, -3, 1
Let y = -1228/15 + 82. Let l(g) be the first derivative of y*g**3 + 3 + 0*g + 0*g**2. Factor l(u).
2*u**2/5
Let o(t) be the first derivative of 2*t**5/35 + 18*t**4/7 + 716*t**3/21 + 612*t**2/7 + 578*t/7 - 135. What is g in o(g) = 0?
-17, -1
Let x(d) be the first derivative of -d**6/9 - 2*d**5/5 + 3*d**4/2 - 10*d**3/9 + 196. Let x(j) = 0. What is j?
-5, 0, 1
Let q be (-4)/8*-4*(0 - -1). Factor 10*y - 5*y**2 + q*y + y**2.
-4*y*(y - 3)
Let n(f) be the first derivative of 7*f**3/3 + 7*f**2 - 2*f + 16. Let z(q) = -3 + 15*q + 13*q**2 + 12*q + 0*q**2. Let r(i) = -5*n(i) + 2*z(i). Factor r(j).
-(j + 2)*(9*j - 2)
Factor 1/3*k**2 - 8 + 5/3*k.
(k - 3)*(k + 8)/3
Let w(o) be the second derivative of -o**5/20 + o**4/2 - 3*o**3/2 - 21*o. Find j, given that w(j) = 0.
0, 3
Let s(n) be the third derivative of -n**6/180 - 7*n**5/60 - 5*n**4/6 + 5*n**3/3 + 2*n**2. Let k(d) be the first derivative of s(d). Suppose k(c) = 0. What is c?
-5, -2
Suppose 0*a**2 + 26/21*a + 8/7 - 2/21*a**3 = 0. Calculate a.
-3, -1, 4
Let q(z) be the third derivative of -2*z**7/315 - 17*z**6/360 - z**5/45 + 659*z**2. Factor q(b).
-b**2*(b + 4)*(4*b + 1)/3
Let b(f) = -130*f**3 - 275*f**2 - 40*f - 5. Let o(l) = -65*l**3 - 137*l**2 - 20*l - 3. Let q(s) = -3*b(s) + 5*o(s). Determine n so that q(n) = 0.
-2, -2/13, 0
Let x be (-3)/(-6)*1*28. Suppose 0 = -2*p + 3*b - 2, 3*p = 2*b + x - 7. Let 9*a - 2*a**2 - 9*a - 5*a**3 + 11*a**4 - 5*a**p + a**5 = 0. Calculate a.
-1/4, 0, 1, 2
Let o be 9/6 - 30/(-20). Let x(v) be the first derivative of 1/15*v**5 + 0*v - 1/9*v**o - 1/12*v**4 + 1/6*v**2 - 3. Factor x(z).
z*(z - 1)**2*(z + 1)/3
Let a(y) be the second derivative of 1/54*y**4 + 0 + 16/9*y**2 - 4*y + 8/27*y**3. Find k, given that a(k) = 0.
-4
Let w be ((-2)/18)/((-1)/3). Let r = -24747 - -24749. Determine s, given that 1/3*s**5 + w*s**3