ivative of 5*n**4/2 + 14*n**3 + 24*n**2 + 8*n + 21. Find p, given that h(p) = 0.
-2, -1/5
Suppose 5*y = 5*s - 10, -y - 2*y - 6 = 0. Factor -2/5*h**2 - 6/5*h**3 + s*h + 8/5*h**4 + 0.
2*h**2*(h - 1)*(4*h + 1)/5
Suppose -32*f + 2 = -31*f. Suppose -2/3*k**3 + 0 + f*k**2 - 4/3*k = 0. What is k?
0, 1, 2
Let v be (-42)/(-20) + 96/(-960). Determine c, given that 12/5*c + 3/5*c**v + 12/5 = 0.
-2
Suppose -2*j - 2*j**3 + 3*j**2 + 1/2 + 1/2*j**4 = 0. What is j?
1
Let r(t) be the second derivative of -t**2/2 + 3*t. Let i(q) = 16*q**2 + 8*q + 6. Let b(x) = i(x) + 5*r(x). Find a such that b(a) = 0.
-1/4
Let g(p) be the first derivative of 7*p**5 - 5*p**4/2 - 35*p**3 + 50*p**2 - 20*p - 1. Let g(d) = 0. What is d?
-2, 2/7, 1
Let p(l) be the second derivative of -l**7/63 - 4*l**6/45 - 2*l**5/15 - 12*l. Factor p(u).
-2*u**3*(u + 2)**2/3
Factor -5/3*f**2 + 0*f + 0.
-5*f**2/3
Let x(d) be the third derivative of -d**9/60480 - d**8/3360 - d**7/420 - d**6/90 - d**5/20 + d**2. Let v(t) be the third derivative of x(t). Factor v(a).
-(a + 2)**3
Let c be ((-5526)/693 - -8)/(4/28). Factor 0 - 4/11*g - c*g**2.
-2*g*(g + 2)/11
Solve -33/4*o**4 - 75/4*o**3 + 45/4*o**2 - 3 + 12*o + 27/4*o**5 = 0 for o.
-1, 2/9, 1, 2
Let h(u) be the second derivative of -u**5/20 + 3*u**4/8 - u**3/4 - u**2 - 29*u. Suppose h(f) = 0. What is f?
-1/2, 1, 4
Suppose -z - 27 = -5*o - 0*o, 0 = -o - z + 9. Suppose -2*p + o = p. Factor 2*h**4 + 4*h**3 - 4*h**4 - p*h**2 + 0*h**3.
-2*h**2*(h - 1)**2
Let i(d) be the third derivative of -d**8/12 + 6*d**7/35 - d**6/15 + 4*d**2. Suppose i(x) = 0. Calculate x.
0, 2/7, 1
Suppose -2*a - h + 3 = -7, -2*a + h + 10 = 0. Let l(d) be the first derivative of 4*d**2 - 2*d**4 - 8/5*d**a + 2*d**3 - 1 + 2*d. Find w, given that l(w) = 0.
-1, -1/2, 1
Suppose 25 = 45*v - 110. Solve -4/3*y**5 + 0 + y**v - 5/3*y**2 + 1/3*y + 5/3*y**4 = 0 for y.
-1, 0, 1/4, 1
Let b(d) = d**2 - 7*d + 2. Let u(i) = i**3 + 7*i**2 - 8*i + 7. Let n be u(-8). Let p be b(n). Factor 2/5*z**p + 0*z - 2/5.
2*(z - 1)*(z + 1)/5
Let f = -160 + 162. Factor -1/4*d + 1/4*d**3 + 0 + 0*d**f.
d*(d - 1)*(d + 1)/4
Suppose 0 + 2/5*r**4 + 6/5*r**2 + 2/5*r + 6/5*r**3 = 0. What is r?
-1, 0
Let j(u) be the third derivative of 1/20*u**5 - 1/70*u**7 + 0*u**3 + 1/24*u**4 + 2*u**2 - 1/120*u**6 + 0 + 0*u. Suppose j(y) = 0. What is y?
-1, -1/3, 0, 1
Let w(y) be the third derivative of -y**5/30 - y**4/4 - 2*y**3/3 + 6*y**2. What is x in w(x) = 0?
-2, -1
Let g(h) be the first derivative of 3/5*h**2 - 1/5*h**3 + 0*h + 2. Suppose g(k) = 0. What is k?
0, 2
Let l(o) be the third derivative of 1/20*o**4 - 1/300*o**6 + 0 - 1/420*o**8 - 2/75*o**5 + 3/350*o**7 + 0*o - 1/30*o**3 + 3*o**2. Let l(r) = 0. Calculate r.
-1, 1/4, 1
Let y(b) be the first derivative of -b**6/120 + b**4/24 + b**2 + 4. Let p(g) be the second derivative of y(g). Factor p(f).
-f*(f - 1)*(f + 1)
Let o(f) be the third derivative of 0*f - 1/32*f**4 + 0 - 1/480*f**6 - 3*f**2 + 1/24*f**3 + 1/80*f**5. Solve o(n) = 0.
1
Let w(n) be the first derivative of -3*n**4/4 - 3*n**3 + 7. Solve w(t) = 0.
-3, 0
Let b be 3*((-4)/3)/(-1). Let k(v) = v**2 + 6*v - 25. Let p be k(-9). Factor 19/5*x**3 + 1/5*x + 2/5 - 3*x**p - 7/5*x**b.
-(x - 1)**3*(7*x + 2)/5
Factor -4/5*i - 3/5*i**2 + 1/5*i**3 + 0.
i*(i - 4)*(i + 1)/5
Let j = 320 + -958/3. Factor 2/3*o + 4/3 - 4/3*o**2 - j*o**3.
-2*(o - 1)*(o + 1)*(o + 2)/3
Let a(u) be the second derivative of 0*u**2 - 1/2*u**3 - 1/4*u**4 - 3*u + 0. Factor a(t).
-3*t*(t + 1)
Let m(r) be the second derivative of -r**5/60 - 5*r**4/36 - 4*r**3/9 - 2*r**2/3 + 7*r. Determine p so that m(p) = 0.
-2, -1
Let a(i) be the first derivative of 1/15*i**3 - 1/10*i**2 - 2/5*i - 3. Factor a(j).
(j - 2)*(j + 1)/5
Let z be -2*4/16*-34. Let b = 20 - z. Determine v, given that 0*v**2 - 1/2*v**b + 0 - 5/4*v**4 + 0*v = 0.
-2/5, 0
Let l be 3*(-1 + (-20)/12*-1). Factor 2*x**l + 1/2 - 2*x.
(2*x - 1)**2/2
Let n(o) be the first derivative of -3*o**5/5 - 9*o**4/4 - 2*o**3 + 6. Determine f so that n(f) = 0.
-2, -1, 0
Suppose 3*v + 6 = 0, -2 = b + 5*v + 3. Determine p, given that 0*p**5 + 12*p + 13*p**3 + 4 + 8*p + 31*p**2 - 6*p**4 - p**4 - 5*p**b = 0.
-1, -2/5, 2
Let p be 1/2*(1 - 1). What is y in p*y**2 - 5*y + 2 + 2*y**3 + 3*y - 2*y**2 = 0?
-1, 1
Factor -14*w**2 - w**3 + 5*w**2 + 7*w**2 - w.
-w*(w + 1)**2
Let b(v) be the first derivative of 5*v**7/42 - v**6/6 + v**5/15 + v**2 + 2. Let z(l) be the second derivative of b(l). Factor z(k).
k**2*(5*k - 2)**2
Let u(r) be the second derivative of r**6/30 + r**5/20 - r**4/4 - 5*r**3/6 - r**2 + 2*r. Factor u(i).
(i - 2)*(i + 1)**3
Let k(y) be the second derivative of y**7/210 + y**6/50 + 3*y**5/100 + y**4/60 - 7*y. Solve k(f) = 0.
-1, 0
Suppose -1 - 8 = -o. Let k be ((-2)/3)/((-12)/o). Factor 1/2*u**2 - k + 0*u.
(u - 1)*(u + 1)/2
Suppose -5*n + 5*q = -20, 2*n + 16 = 3*n - 4*q. Let y(w) be the third derivative of 0*w**4 + 0 + w**2 + 0*w**3 + n*w - 1/210*w**5. Factor y(h).
-2*h**2/7
Let v be 4/(-6) - (-693)/27. Factor 4*q**3 - 6*q - v*q**2 - q**3 + 28*q**2.
3*q*(q - 1)*(q + 2)
Let a be (3/3 + -1)/(-3). Suppose 5*f - 9 = -i, -4*f = -4 - a. Factor -1/2*b**i + 0*b**3 + 1/4*b**5 + 1/2*b**2 + 0 - 1/4*b.
b*(b - 1)**3*(b + 1)/4
Let u(h) = 14*h**4 - 76*h**3 + 66*h**2 - 26*h. Let m(b) = -3*b**4 + 15*b**3 - 13*b**2 + 5*b. Let r(a) = 11*m(a) + 2*u(a). Let r(q) = 0. What is q?
0, 3/5, 1
Let l(m) be the first derivative of 4*m**3/3 - 10*m**2 + 16*m + 9. Factor l(s).
4*(s - 4)*(s - 1)
Let o(z) be the second derivative of -z**6/12 + z**5/20 + 5*z**4/24 - z**3/6 - 5*z. Determine t, given that o(t) = 0.
-1, 0, 2/5, 1
Let d(r) = -4*r + 16. Let p be d(3). Factor 6/5*h**2 - 2/5*h**p + 0 + 4/5*h + 0*h**3.
-2*h*(h - 2)*(h + 1)**2/5
Factor -6*i**2 + 6*i - 2 + 8*i**3 - 14*i**3 + 8*i**3.
2*(i - 1)**3
Let q(r) = -r + 6. Let u be q(-8). Factor -b**3 - 15*b**4 + 0*b**5 + u*b**4 + b**2 + b**5.
b**2*(b - 1)**2*(b + 1)
Let m be (-90)/2*(-16)/(-40). Let u = m - -20. Determine k, given that 2/5 - 2/5*k + 2/5*k**3 + 4/5*k**4 - 6/5*k**u = 0.
-1, 1/2, 1
Let v(m) be the first derivative of -m**7/840 + m**6/480 + m**5/240 - m**4/96 + m**2 - 1. Let p(x) be the second derivative of v(x). Factor p(j).
-j*(j - 1)**2*(j + 1)/4
Let v(s) = -2*s - 3. Let x be v(-3). Determine p, given that -3*p**3 + 0*p**3 - 2*p**3 + 2*p**3 + x*p**2 = 0.
0, 1
Suppose 2*u = 3*u + 6. Let q be u/(-9)*(-6)/(-8). Factor 1/4*b**4 + 0 + 1/4*b**2 - q*b**3 + 0*b.
b**2*(b - 1)**2/4
Factor 0*t**2 + 1 + 1/2*t**3 - 3/2*t.
(t - 1)**2*(t + 2)/2
Let h(t) be the third derivative of -t**8/504 + t**7/315 + t**6/90 - t**5/45 - t**4/36 + t**3/9 + 9*t**2. What is x in h(x) = 0?
-1, 1
Let t = 5 + -1. Suppose -t*y + 0*y = 4*g - 4, -5*y + 7 = 4*g. Suppose h**y - 1 + 2*h - 3*h + 0*h + h**2 = 0. Calculate h.
-1, 1
Suppose -4*c = -3*a + 12, a = -0*c - 4*c + 4. Solve c + 0*s - 2/9*s**3 + 2/9*s**5 + 2/9*s**4 - 2/9*s**2 = 0.
-1, 0, 1
Let m be 4 - (-1 - 3 - -3). Suppose d = -4*d + 10. Solve -5*u**d + m*u**3 - 5*u**3 + 2*u - u**4 + 4*u**3 = 0.
0, 1, 2
Let c = -20 - -37. Suppose 5 = -4*v + c. Determine s so that -s**2 + 2*s**v + s**4 + 2*s**2 + 0*s**2 = 0.
-1, 0
Let b(o) be the first derivative of -o**5/300 + o**4/40 - o**3/15 - o**2 - 6. Let u(j) be the second derivative of b(j). Factor u(x).
-(x - 2)*(x - 1)/5
Suppose -4*z - f + 2 = 0, -3*z + 4*f = -4*z + 8. Factor -1/4*t**5 + z + 0*t**4 + 0*t**2 - 1/4*t + 1/2*t**3.
-t*(t - 1)**2*(t + 1)**2/4
Let -343/5*b**5 + 1168/5*b**2 - 294/5*b**4 + 1288/5*b**3 + 336/5*b + 32/5 = 0. What is b?
-2, -2/7, 2
Let k(d) be the first derivative of -1/4*d - 1/8*d**2 - 11/16*d**4 + 3/4*d**3 + 4 + 1/5*d**5. Solve k(y) = 0 for y.
-1/4, 1
Suppose 2 = -k - 5. Let f = -4 - k. Factor 2*s**f - 2*s + 1/2*s**4 - 2 + 3/2*s**2.
(s - 1)*(s + 1)*(s + 2)**2/2
Let d be ((-18)/16)/((297/(-18))/11). Let 5/4*p - 1/4*p**2 - 1/4*p**3 - d = 0. Calculate p.
-3, 1
Let v(p) be the second derivative of p**9/7560 + p**8/1120 + p**7/420 + p**6/360 - p**4/3 - p. Let w(h) be the third derivative of v(h). Factor w(t).
2*t*(t + 1)**3
Let x(f) be the first derivative of -16*f**5/5 - 7*f**4 + 8*f**3/3 - 22. Factor x(d).
-4*d**2*(d + 2)*(4*d - 1)
Let d(j) = j**3 - 11*j**2 + 10*j + 5. Let y be d(10). Factor 2/5*f**y + 10*f**2 + 14/5*f**4 + 32/5*f + 8/5 + 38/5*f**3.
2*(f + 1)**3*(f + 2)**2/5
Let h(c) be the third derivative of -c**8/44