. Determine w so that p(w) = 0.
-4, -2, 1
Let w(p) be the third derivative of -p**7/15120 + p**6/2160 - p**5/720 + p**4/24 - 6*p**2. Let f(m) be the second derivative of w(m). Solve f(z) = 0.
1
Let t be 591/(-6) - ((-3)/6 + 1). Let o = -494/5 - t. Factor 1/5 + 1/5*h**4 - o*h**5 + 2/5*h**3 - 1/5*h - 2/5*h**2.
-(h - 1)**3*(h + 1)**2/5
Let y be (4*2)/((66/96)/11). Factor 140 + t - 2*t**2 - y + t.
-2*(t - 3)*(t + 2)
Suppose 0 = -0*g - 4*g + 5*k + 40, -g + 13 = -2*k. Suppose -g*v = 16 - 26. Determine c so that 16/5*c + 16/5 + 4/5*c**v = 0.
-2
Let b(x) be the first derivative of -3*x**4/16 - 15*x**3/4 - 189*x**2/8 - 147*x/4 + 12. Find y such that b(y) = 0.
-7, -1
Let o(i) = 10*i**2 + 2*i + 12. Let q(s) = -1. Let u(y) = -o(y) - 12*q(y). Find w such that u(w) = 0.
-1/5, 0
Let v = -478 - -481. Let y(f) be the second derivative of -13/3*f**v - f**2 + 0 - 71/8*f**4 - 121/60*f**6 + 2*f - 143/20*f**5. Let y(m) = 0. Calculate m.
-1, -2/11
Let q(k) be the second derivative of 27*k**7/56 + 81*k**6/40 - 189*k**5/40 - 11*k**4/4 + 13*k**3 - 12*k**2 - 156*k. What is f in q(f) = 0?
-4, -1, 2/3
Let l = -4919/3 - -1641. Factor -l + 1/3*o**2 + o.
(o - 1)*(o + 4)/3
Let n(y) be the second derivative of 1/60*y**6 + 3/40*y**5 - y**3 + 17*y - 1/12*y**4 + 0 - 2*y**2. Determine b so that n(b) = 0.
-2, -1, 2
Suppose 2*s = -6, 0*s = -5*o + s + 28. What is q in 24*q**2 - 13*q**3 - 14*q**4 - o*q**3 + 0*q + 8*q = 0?
-2, -2/7, 0, 1
Let j be (5/(-2))/(15/(-12)). Let -2/21 + 2/21*o**j + 0*o = 0. What is o?
-1, 1
Let m be 9656/1768 - 1*5. Determine n, given that -m*n + 4/13 + 2/13*n**2 = 0.
1, 2
Let z be ((-46)/(-6))/(9/(-270)). Let f = 232 + z. Factor 4/9*d**f + 0*d - 16/9*d**4 + 0 - 2/9*d**3 - 10/9*d**5.
-2*d**2*(d + 1)**2*(5*d - 2)/9
Let j(c) be the first derivative of 3*c**5/25 - 6*c**4/5 + 7*c**3/5 - 163. Solve j(f) = 0.
0, 1, 7
Solve -64/5 - 1/5*g**3 - 17/5*g**2 - 16*g = 0 for g.
-8, -1
Let j = 6064/5 - 18187/15. Determine k so that 2/3*k + j*k**2 - 1 = 0.
-3, 1
Let p(g) be the second derivative of -g**4/6 + 68*g**3/3 - 1156*g**2 + 6*g - 12. Factor p(l).
-2*(l - 34)**2
Let q(k) be the third derivative of -k**8/224 - k**7/105 + 7*k**6/120 - k**5/30 - k**4/16 - 188*k**2. Let q(u) = 0. What is u?
-3, -1/3, 0, 1
Factor -4/7*f**2 + 0 - 96/7*f.
-4*f*(f + 24)/7
Determine j, given that -21*j**4 - 103*j**2 + 3*j + 31*j**3 + 12*j**3 + 28*j**2 + 48*j**2 + 2*j**3 = 0.
0, 1/7, 1
Let k be 0/(36/120*10). Factor -2/3*g**5 + 0*g**2 - 2/3*g**3 - 4/3*g**4 + k*g + 0.
-2*g**3*(g + 1)**2/3
Let k(j) be the second derivative of -17*j + 0*j**2 + 0 + 0*j**5 + 0*j**3 - 1/441*j**7 + 2/63*j**4 - 1/105*j**6. Factor k(o).
-2*o**2*(o - 1)*(o + 2)**2/21
Let p(h) be the third derivative of -h**6/160 + h**4/32 + 11*h**2 + 24*h. Factor p(i).
-3*i*(i - 1)*(i + 1)/4
Let y(z) be the first derivative of 1/16*z**4 - 1/8*z**2 - 6 + 5/12*z**3 - 5/4*z. Suppose y(x) = 0. What is x?
-5, -1, 1
Let r(z) be the second derivative of -3*z**5/40 + 103*z**4/32 + 13*z**3/8 + 89*z. Factor r(y).
-3*y*(y - 26)*(4*y + 1)/8
Let s(r) be the third derivative of r**8/23520 - r**6/360 + r**5/70 + 5*r**4/24 - r**2. Let k(i) be the second derivative of s(i). What is y in k(y) = 0?
-3, 1, 2
Suppose 0 = -w + 2*w - 2. Factor -6*s**3 + 9*s - s + 4*s**2 + 4*s**3 - w*s**3.
-4*s*(s - 2)*(s + 1)
Suppose o + 28*n - 23*n + 13 = 0, -o - 2*n - 4 = 0. Factor -o - 1/2*q**2 + 5/2*q.
-(q - 4)*(q - 1)/2
Let d(r) be the third derivative of r**7/360 + r**6/45 + r**5/30 + 3*r**4/8 + 6*r**2. Let m(y) be the second derivative of d(y). Factor m(i).
(i + 2)*(7*i + 2)
Let 2/9*f**2 + 22/9*f - 8/3 = 0. What is f?
-12, 1
Let j(k) be the first derivative of 0*k + 2/5*k**4 - 2/5*k**2 + 0*k**5 + 0*k**3 - 2/15*k**6 - 8. Factor j(x).
-4*x*(x - 1)**2*(x + 1)**2/5
Let a(q) = -8*q**4 - 8*q**3 - 8*q**2. Let d(n) = -n**2 + n + 4. Let h be d(0). Let v(b) = -9*b**4 - 8*b**3 - 9*b**2. Let w(m) = h*v(m) - 5*a(m). Factor w(f).
4*f**2*(f + 1)**2
Let c = -5 + 7. Let n be (-3)/((-66)/4) + (-360)/1980. Solve 1/4*m**c + n*m - 1/2*m**3 + 0 = 0 for m.
0, 1/2
Suppose i = 4*h - 14, -24*h - 4*i = -27*h + 4. Factor 4/5*b**3 - 4/5*b - 8/5*b**2 + 2/5*b**h + 6/5.
2*(b - 1)**2*(b + 1)*(b + 3)/5
Factor 22*r - 6/13*r**2 + 96/13.
-2*(r - 48)*(3*r + 1)/13
Let v(x) be the third derivative of x**7/105 - x**6/10 + 2*x**5/5 - 5*x**4/6 + x**3 - 165*x**2. Factor v(t).
2*(t - 3)*(t - 1)**3
Let n be ((-15)/(-14))/((-739)/(-368) + -2). Let b = -131 + n. Suppose -b*j + 0 + 1/7*j**2 = 0. What is j?
0, 3
Suppose 5*o - 920 = 5*i, 0 = i + 2*o - 5*o + 194. Let h = i - -538/3. Solve -5/3*k**2 + h*k**3 + 7/3*k - 1 = 0 for k.
1, 3
Let f(o) = -o**4 - o**3 + o**2 + o + 2. Let a(z) = 46*z**3 - 284*z**2 + 438*z - 204. Let t(i) = a(i) + 2*f(i). Factor t(y).
-2*(y - 10)**2*(y - 1)**2
Let x = 2/1487 + 1187/223050. Let c(r) be the third derivative of 0*r**3 - x*r**5 + 0 - 3*r**2 + 1/30*r**4 + 0*r. Suppose c(j) = 0. Calculate j.
0, 2
Let m be -3*134*(-1)/6. Suppose 0 = 4*a - 33 - m. Suppose a*b**2 - 3 + 1 - 6*b - 95*b**2 - 50*b**3 - 16*b = 0. What is b?
-1, -1/5
Let b(t) = 3*t**2 + 6*t - 4. Let p be b(-4). What is h in 15*h**2 + 8*h**3 - 25*h - p*h**4 + 5*h**2 + 17*h = 0?
-1, 0, 2/5, 1
Factor 4/3*i - 3*i**2 + 7/6*i**3 + 0.
i*(i - 2)*(7*i - 4)/6
Let d(y) be the third derivative of y**7/630 + y**6/45 - 29*y**4/24 - 7*y**2. Let m(a) be the second derivative of d(a). Factor m(v).
4*v*(v + 4)
Suppose 0 = -a + 2, -20 = -5*u - 4*a - 62. Let l be (-10)/(-5) - (-18)/u. Find h such that 3/5*h + 2/5 + l*h**2 = 0.
-2, -1
Let f be -2 + 114/22 - (-6)/(-33). Factor -f*z**2 + 32*z - 66*z + 31*z.
-3*z*(z + 1)
Let r(i) be the third derivative of -i**5/15 - 5*i**4/2 - 24*i**3 - 30*i**2. Let r(z) = 0. Calculate z.
-12, -3
Let b(y) be the third derivative of -y**6/160 + 111*y**5/80 - 4107*y**4/32 + 50653*y**3/8 - 88*y**2. Solve b(w) = 0 for w.
37
Let s(p) = -p**2 - p + 1. Let z(a) = -8*a**2 + 3*a + 3. Let q(b) = 3*s(b) - z(b). Solve q(i) = 0.
0, 6/5
Let x(i) = -2*i - 25. Let k be x(-8). Let p be (-2)/10*k - 67/(-335). Factor 36/5*b**p + 16/5 + 8*b + 14/5*b**3 + 2/5*b**4.
2*(b + 1)*(b + 2)**3/5
Let k(n) be the third derivative of n**9/3780 - n**8/525 + 2*n**7/525 + 4*n**3/3 - 11*n**2. Let g(q) be the first derivative of k(q). Factor g(p).
4*p**3*(p - 2)**2/5
Let n(f) be the third derivative of -f**5/300 - 7*f**4/12 - 245*f**3/6 - 421*f**2. What is h in n(h) = 0?
-35
Let z = 225 + -223. Let a(d) be the first derivative of 3/2*d**z - 7 - 1/2*d**4 - 1/6*d**6 - 3/5*d**5 + 2/3*d**3 + d. Let a(l) = 0. What is l?
-1, 1
Let q(s) be the second derivative of 3/20*s**5 + 0 - 35*s - 7/8*s**3 - 3/4*s**2 + 5/16*s**4. Factor q(x).
3*(x - 1)*(x + 2)*(4*x + 1)/4
Let i = 32 + -32. Suppose i*m = 5*m. Factor m + 0*q + 1/3*q**3 - 1/3*q**2.
q**2*(q - 1)/3
Let a = -30 - 6. Let z be a/48 + (-30)/(-8). Factor -3*r**z - 2 - r**3 + 3*r**3 + 3*r.
-(r - 1)**2*(r + 2)
Let l(h) = h**2 + 2*h - 46. Let j be l(-8). Let o(y) be the first derivative of -1 + 0*y + 2/3*y**3 + 0*y**j. What is x in o(x) = 0?
0
Let t(x) be the third derivative of -24*x**2 - 1/270*x**5 + 1/108*x**4 + 2/9*x**3 + 0 + 0*x. Solve t(l) = 0 for l.
-2, 3
Let x = -14 - -16. Factor c**2 - 1 - c - x*c + 2 + c.
(c - 1)**2
Let z(k) be the third derivative of k**5/20 + 17*k**4/4 + 289*k**3/2 + 2*k**2 + 276. Find h such that z(h) = 0.
-17
Find n, given that -8*n**3 + 201*n - 99 + 3*n**3 - 321 - 35*n**2 + 259*n = 0.
-14, 1, 6
Let o be ((-7)/30)/7 + 30/90. Let w(i) be the second derivative of 0*i**2 + o*i**4 - 5*i + 2/15*i**3 + 0. What is f in w(f) = 0?
-2/9, 0
Let n(k) = -10*k**3 - 8*k**2 - 18*k. Let s(j) = 2*j**3 + j**2 + j. Let u(q) = n(q) + 6*s(q). Factor u(c).
2*c*(c - 3)*(c + 2)
Let y(p) = p + 7. Suppose 7*a = 8*a + 7. Let l be y(a). Find z such that -2/5*z**2 + l*z + 0 = 0.
0
Let w = -2655 + 2655. Factor 2/5*z**4 - 4/5*z**2 + 2/5 + 0*z + w*z**3.
2*(z - 1)**2*(z + 1)**2/5
Let g be 10 - ((-9)/(-12))/(147/1736). Let g*d - 4/7*d**2 + 32/7 = 0. Calculate d.
-2, 4
Let d(h) = -h**2 - 9*h - 6. Let c be d(-3). Let y be (c/(-18))/((-2)/6). Find p, given that -12*p**y - 7*p**3 - 8*p**3 + 0*p**2 + 27*p**3 - 3*p**4 = 0.
0, 2
Factor 2/5*d**3 - 12/5*d**2 + 18/5*d + 0.
2*d*(d - 3)**2/5
Let q(w) = 9*w**2 + 3*w. Let i(r) = -r - r**3 + 0*r + r + 3*r**2 + r + 4. Let v be i(4). Let p(z) = 14*z**2 + 4*z. Let y(g) = v*q(g) + 5*p(g). 