5/10 + 16*z**3/3 + 38. Let p(n) be the third derivative of y(n). Factor p(u).
2*u*(u - 3)**2*(u + 2)
Let s(z) = z - 1. Let p be s(6). Let j be -5 + (-9)/((-9)/10). Factor -j + q - 5*q**2 + 0*q + p.
-q*(5*q - 1)
Let r(s) be the second derivative of 4*s**6/45 + 7*s**5/30 + s**4/9 - s**3/9 - 42*s. Determine b, given that r(b) = 0.
-1, 0, 1/4
Let i = -295481/7 + 42215. Factor -i*z + 72/7 + 2/7*z**2.
2*(z - 6)**2/7
Let s(d) be the first derivative of d**4/14 - 2*d**3/21 - 16*d**2/7 + 32*d/7 - 169. Find a, given that s(a) = 0.
-4, 1, 4
Let j = -1164 - -1168. Let x(c) be the first derivative of -8/5*c - 2*c**2 - 16/15*c**3 + 7 - 1/5*c**j. Suppose x(u) = 0. What is u?
-2, -1
Let o(l) be the third derivative of -l**5/60 + 3*l**4/8 - 10*l**3/3 - 21*l**2 + 2*l. What is a in o(a) = 0?
4, 5
Suppose -4*b = -3*p - 3, -2*b = -4*p - 10 + 16. Factor -10/19*i**p - 2/19*i**4 - 18/19*i**2 - 14/19*i - 4/19.
-2*(i + 1)**3*(i + 2)/19
Find t, given that 0 - 12*t**3 + 0*t - 15/2*t**4 + 3/2*t**5 + 18*t**2 = 0.
-2, 0, 1, 6
Let p(v) be the second derivative of 1/3*v**4 - 1/20*v**5 - 5/6*v**3 - 40*v + v**2 + 0. Determine x so that p(x) = 0.
1, 2
Factor -36/5*t - 1/5*t**3 - 12/5*t**2 - 32/5.
-(t + 2)**2*(t + 8)/5
Suppose -5*u = 9 - 34. Let h(y) = y - 2. Let f be h(u). Let -11 - 8*k**f + 8*k**2 + 11 + 2*k**4 = 0. Calculate k.
0, 2
Let d(q) = -q - 5. Let l be d(-7). Let f be (-3192)/(-48) - 2/(-8)*-6. Factor -l + 29*h**3 - f*h**3 - h**4 - 7*h - 9*h**2 + 31*h**3.
-(h + 1)**3*(h + 2)
Let d(p) be the second derivative of 2 - 16*p + 10/3*p**3 - 4*p**2 + 4/3*p**4 - 3/5*p**5. Find g, given that d(g) = 0.
-1, 1/3, 2
Let d(r) be the second derivative of 8*r**7/21 + 34*r**6/15 + 28*r**5/5 + 22*r**4/3 + 16*r**3/3 + 2*r**2 - 45*r. Factor d(u).
4*(u + 1)**4*(4*u + 1)
Let h(p) be the second derivative of -10*p + 7/54*p**4 + 0 + p**2 - 1/90*p**5 - 5/9*p**3. Factor h(w).
-2*(w - 3)**2*(w - 1)/9
Factor 2*c**2 + 18*c - 120 + 31*c + 9*c - 25*c + 23*c.
2*(c - 2)*(c + 30)
Let h = -161 - -140. Let r(i) = -i**2 - 17*i + 86. Let n be r(h). Solve 1/5 - 1/5*x**3 + 1/5*x - 1/5*x**n = 0.
-1, 1
Let y(j) be the third derivative of j**8/1200 - j**7/840 - j**6/900 - 14*j**3/3 - 28*j**2. Let a(v) be the first derivative of y(v). Let a(c) = 0. Calculate c.
-2/7, 0, 1
Let r be (3 - 29/9)*-9. Factor d - 15*d**3 - 2*d**r + 29*d**3 + 8 + 3*d - 15*d**3.
-(d - 2)*(d + 2)**2
Let i(l) = -20*l**4 + 32*l**3 + 20*l**2 - 32*l - 24. Let g(w) = 7*w**4 - 11*w**3 - 7*w**2 + 11*w + 9. Let h(k) = 8*g(k) + 3*i(k). Solve h(p) = 0.
-1, 0, 1, 2
Find b such that 13775*b**2 - 1628*b**3 + 8130*b**2 - 25647*b - 1326*b - 5*b**5 - 1707*b**3 + 215*b**4 - 27107*b + 43940 = 0.
2, 13
Let d be -2 - (-6 - -13)/(-1). Let h(a) = -a**2 + 6*a + 2. Let n be h(6). Factor -2 + n*q**4 - 7*q**3 + 20*q**3 - 4*q**3 - 8*q**2 - 7*q**3 + 7*q - q**d.
-(q - 1)**4*(q + 2)
Let o(y) be the second derivative of y**5/150 - 7*y**4/45 - y**3/45 + 14*y**2/15 + 624*y. Let o(v) = 0. Calculate v.
-1, 1, 14
Let o be 6/5*(-20)/(-12). Factor 0 - w**o + 1/5*w**5 - 3/5*w**3 + 1/5*w**4 - 2/5*w.
w*(w - 2)*(w + 1)**3/5
Let s(o) = o**3 + 10*o**2 + 9*o - 4. Let c(h) = 10*h**3 + 110*h**2 + 100*h - 45. Let d(u) = -4*c(u) + 45*s(u). Determine n, given that d(n) = 0.
-1, 0
Suppose 5*d = -0*d + 840. Suppose -2*h + d = -0*h. Find z, given that -h*z**2 - 6 + 4 + 80*z - 13 - 1 = 0.
2/7, 2/3
Let c(l) = l**3 + 22*l**2 + 20*l - 28. Let w(x) = -x**3 - 2*x**2 + 2*x + 1. Let z(a) = -c(a) - 4*w(a). Factor z(o).
(o - 6)*(o + 2)*(3*o - 2)
Factor 3*x**3 - 22*x**4 + 4*x**3 - 11*x**3.
-2*x**3*(11*x + 2)
Suppose 58*c = -97 + 329. Factor -2/7*u**c + 2/7 + 0*u**2 - 4/7*u**3 + 4/7*u.
-2*(u - 1)*(u + 1)**3/7
Suppose 0*c**2 - 32*c**4 + 4*c**2 + 48*c**5 - 4*c**3 - 12*c**4 - 4*c**3 = 0. Calculate c.
-1/3, 0, 1/4, 1
Suppose t = -3*f + 5, -3*f + 3*t = -2*t - 29. Find z, given that 2*z - 6*z**f + 848 + z**2 - 5*z**2 - 848 = 0.
-1, 0, 1/3
Suppose d - 4*z + 26 = 0, 7*d - z - 13 = -3*d. Factor -1/2 + s - 1/2*s**d.
-(s - 1)**2/2
Factor w**5 + 222*w**4 - 6*w**5 + w**5 - 174*w**4.
-4*w**4*(w - 12)
Let p(i) be the first derivative of i**7/126 - i**6/10 + 4*i**5/9 - 2*i**4/3 + 14*i**3/3 + 17. Let v(c) be the third derivative of p(c). Factor v(w).
4*(w - 3)*(w - 2)*(5*w - 2)/3
Let l(r) be the third derivative of 5*r**7/42 + 19*r**6/24 + 19*r**5/10 + 13*r**4/6 + 4*r**3/3 - r**2 + 7*r. Let l(y) = 0. What is y?
-2, -1, -2/5
Let o(c) = -4*c + 2. Let w be o(-15). Let s be w/26 - (2 - 1). Factor -4/13*m + s*m**2 + 0.
2*m*(9*m - 2)/13
Let q(f) be the third derivative of 0*f**4 + 0*f**3 + 0*f - 3/40*f**6 + 5*f**2 + 0 + 1/20*f**5 - 1/112*f**8 + 3/70*f**7. Determine r, given that q(r) = 0.
0, 1
Suppose 2*t = 5*l + 15, l + 0*l + t = 4. Let f be 2*(3/(-2))/l. Let 1/4*s**f - 3/2*s**5 + 1/2*s**2 + 0*s + 0 - 7/4*s**4 = 0. Calculate s.
-1, -2/3, 0, 1/2
Let i = 30 + -34. Let q be i/3*9/(6/(-2)). What is c in 1/3*c + 1/3*c**q - c**2 + 2/3 - 1/3*c**3 = 0?
-1, 1, 2
Let l(p) = -p**3 - 12*p**2 + 33*p + 260. Let j be l(-13). Factor 0 + 16/7*s - 4/7*s**3 + j*s**2.
-4*s*(s - 2)*(s + 2)/7
Let q(u) be the second derivative of -u**4/24 + 25*u**2 + 204*u. Determine b, given that q(b) = 0.
-10, 10
Suppose -2*h - 12 = -4*i, -2 = i - 0*i + 2*h. Let m = i + 0. Factor -10 + 0 - 16*n - 2*n**2 - 2*n**m - 6.
-4*(n + 2)**2
Let p(t) = -t**3 + 6*t**2 - 5*t - 1. Let l be p(5). Let n(b) = 6*b**2 + 24*b + 50. Let w(z) = -z**2 - z. Let r(o) = l*n(o) - 4*w(o). Let r(a) = 0. Calculate a.
-5
Let t(p) be the second derivative of p**4/30 - 7*p**3/15 - 114*p. Suppose t(c) = 0. Calculate c.
0, 7
Let l(y) be the second derivative of 9*y**5/4 + 20*y**4 - 175*y**3/6 + 15*y**2 - 98*y. Let l(u) = 0. Calculate u.
-6, 1/3
Suppose 0 = -4*h - 109 + 297. Let i = 143/3 - h. Factor 2/9*v**2 + 0 + i*v.
2*v*(v + 3)/9
Let s(i) be the first derivative of i**6/2 + 6*i**5/5 - 45*i**4/4 - 131. Suppose s(p) = 0. What is p?
-5, 0, 3
Let h(n) be the third derivative of 0 - 1/8*n**4 + 1/20*n**5 + 0*n + 1/40*n**6 - 1/2*n**3 - 16*n**2. Find o such that h(o) = 0.
-1, 1
Let p be 5/(0 + -1) + 2. Let a = 5 + p. Factor 8*f**4 + 2*f + 18*f**3 - 18*f**2 - 3*f**a + 33*f**2.
2*f*(f + 1)**2*(4*f + 1)
Suppose k + 4*x = -3*k + 56, -4*k + x = -46. Let i be (6/4)/((-6)/(-104)). Suppose -k*d + 30*d**2 + 5 - 20*d**3 + 18*d + 5*d**4 - i*d = 0. Calculate d.
1
Find f, given that 1/5*f**2 + 3 + 8/5*f = 0.
-5, -3
Factor 0*n**2 + 0*n + 4/3*n**4 - 10/3*n**5 - 2/15*n**3 + 0.
-2*n**3*(5*n - 1)**2/15
Let j = 2711 - 2711. Let w be ((-18)/(-4))/(4 + -1). Factor j + w*s**4 - 3/2*s**2 + 0*s + 0*s**3.
3*s**2*(s - 1)*(s + 1)/2
Let b be (75/(-6) - (-3)/(-3))*-2. Suppose -b*u = -23*u. Suppose -6/5*r - 2/5*r**2 + u = 0. What is r?
-3, 0
Let a(o) be the first derivative of -72/11*o - 7/11*o**4 + 39 - 84/11*o**2 - 2/55*o**5 - 122/33*o**3. Find z such that a(z) = 0.
-6, -1
Factor 0 + 2/9*w**3 + 2/3*w**2 - 20/9*w.
2*w*(w - 2)*(w + 5)/9
Let r(f) be the second derivative of -2*f**6/105 + 4*f**5/35 - 2*f**4/21 - 8*f**3/21 + 6*f**2/7 - 2*f - 62. Solve r(n) = 0.
-1, 1, 3
Let c(l) be the second derivative of 3*l**5/20 - 27*l**4/2 + 729*l**3/2 - 141*l - 3. Determine z, given that c(z) = 0.
0, 27
Suppose -4 = -3*b + 2*d, -4*b - 2*d + 14 = 4. Let z(a) be the second derivative of -1/9*a**3 + 0*a**b - a + 0 - 1/18*a**4. Factor z(h).
-2*h*(h + 1)/3
Suppose -3*y + 6 = 0, -6 + 28 = -2*s + 5*y. Let j be ((-20)/s)/(50/20). Suppose -2/3*l**2 + j*l + 2/3*l**4 + 2/3*l**5 + 0 - 2*l**3 = 0. Calculate l.
-2, -1, 0, 1
Let l(k) be the third derivative of -k**8/20160 - k**7/1260 - k**6/180 - 19*k**5/60 + 10*k**2. Let y(i) be the third derivative of l(i). Factor y(w).
-(w + 2)**2
Let n(h) be the second derivative of h**7/1260 - h**5/360 - 3*h**2 - 7*h. Let l(t) be the first derivative of n(t). Factor l(s).
s**2*(s - 1)*(s + 1)/6
Let y = -83 - -85. Factor y*m**2 + 11 + 10 + 8*m - 13.
2*(m + 2)**2
Let z(f) be the third derivative of -f**9/24192 - 5*f**8/12096 - f**7/2016 + f**5/15 + 22*f**2. Let h(d) be the third derivative of z(d). Factor h(k).
-5*k*(k + 3)*(3*k + 1)/6
Let k(n) be the second derivative of 17/4*n**4 + 3*n**2 + 0 + 15*n + 19/2*n**3. Let k(b) = 0. What is b?
-1, -2/17
Let z(f) be the second derivative of f**6/6 + 3*f**5 + 5*f**4/4 - 520*f**3/3 + 480*f**2 - 298*f. Factor z(p).
5*(p - 3)*(p - 1)*(p + 8)**2
Let x(r) be the third derivative 