or l(s).
s*(s - 3)**2*(s + 1)/8
Let q(k) be the third derivative of k**8/110880 + k**7/13860 + 7*k**5/60 + 7*k**2. Let j(a) be the third derivative of q(a). Solve j(x) = 0 for x.
-2, 0
Suppose -2*w + 112*s = 116*s - 4, -5*w = -2*s - 10. Factor 7/5*y + 3/5 + 4/5*y**w.
(y + 1)*(4*y + 3)/5
Let d(t) be the second derivative of -1/30*t**5 - 5/18*t**4 - t**2 - 7/9*t**3 + 0 + 6*t. Let d(c) = 0. What is c?
-3, -1
Let f(b) be the first derivative of b**4/2 - 14*b**3/3 - 34*b**2 + 80*b - 567. Factor f(y).
2*(y - 10)*(y - 1)*(y + 4)
Let s(t) = -2*t**2 - 8*t + 1. Let v(l) = -l**2 - l + 1. Let h(x) = -s(x) - 3*v(x). Let o be h(-3). Factor o*a - 7/2*a**4 + 19/2*a**3 + 1/2*a**5 - 2 - 25/2*a**2.
(a - 2)**2*(a - 1)**3/2
Let a(y) = -y**3 + 39*y**2 + 81*y - 125. Let o(v) = -10*v**3 + 350*v**2 + 730*v - 1125. Let r(w) = -55*a(w) + 6*o(w). Factor r(d).
-5*(d - 1)*(d + 5)**2
Let o(f) be the first derivative of -15*f**4/4 - 10*f**3/3 + 5*f**2/2 + 284. Factor o(i).
-5*i*(i + 1)*(3*i - 1)
Let g be 18/4*10/15. Let 50*n**2 - 6*n - 48*n**2 + 6*n**g + 1 - 3 = 0. What is n?
-1, -1/3, 1
Let c = -32/17 + 356/153. Factor 0 + 1/3*q**2 + 1/9*q**4 + c*q**3 + 0*q.
q**2*(q + 1)*(q + 3)/9
Let o(x) = -x**2 + 5*x - 7. Let h be o(2). Let b = h - -4. Suppose -j**2 - 1/2*j**b + 1/2*j**4 + 0*j + 0 = 0. Calculate j.
-1, 0, 2
Let q be 2*((3 - -3) + -2). Factor 20*z**2 - q - 10 + 4 - 75*z - 6.
5*(z - 4)*(4*z + 1)
Let a(s) be the second derivative of s**5/10 + 5*s**4/6 + 2*s**3 - 173*s. Determine i so that a(i) = 0.
-3, -2, 0
Let t = 1 + 2. Factor -t*c**2 + 7 - c**3 - 8 - 6*c + 3*c.
-(c + 1)**3
Let k(m) = -20*m**2 + 58*m + 8. Let w be k(3). Factor -162/7*o**w - 8/7 - 72/7*o.
-2*(9*o + 2)**2/7
Let j(n) be the third derivative of 0*n**3 - 1/30*n**5 + 1/12*n**4 + 1/240*n**6 + 0*n + 0 - 17*n**2. Factor j(w).
w*(w - 2)**2/2
Let a be 0 - (-2 + 10)*(-25)/(-4). Let l be 4/10*(a + 51). Factor 4/15*v + 2/15 - l*v**2.
-2*(v - 1)*(3*v + 1)/15
Suppose 2*w + 42 = 8*w. Let y be (-1)/(-4) - 0/w. Factor y*o**3 + 0*o**2 + o**5 + 5/4*o**4 + 0 + 0*o.
o**3*(o + 1)*(4*o + 1)/4
Let h be 4/(-8)*-2 + 2. Let w be (-49)/(-21) - 2/6. Factor -w*c**2 - c**h + 2*c**3 + c**4 + 0*c**4.
c**2*(c - 1)*(c + 2)
Let d be (-12)/27*-3 - (-22 - -20). Factor 8/3*j**2 + 2/3*j**3 + 4/3 + d*j.
2*(j + 1)**2*(j + 2)/3
Let v(d) = 2*d - 4. Let a be v(3). Factor -a*t - t - t**4 + 9*t**3 - 3*t**4 + 8*t**2 + 2*t**2.
-t*(t - 3)*(t + 1)*(4*t - 1)
Let n be (-37)/(-4) + -13 - -4. Let h(g) be the third derivative of 1/160*g**6 - 3/32*g**4 + 0 + n*g**3 + 0*g + 0*g**5 - 2*g**2. Let h(k) = 0. Calculate k.
-2, 1
Let u = -45 + 45. Let r(w) be the second derivative of 6/5*w**5 + u*w**3 + 25/42*w**7 - 3/2*w**6 + 0 - 1/3*w**4 + 5*w + 0*w**2. Factor r(a).
a**2*(a - 1)*(5*a - 2)**2
Let d(z) = -z**3 - 4*z**2 - 3*z + 4. Let x be d(-4). Suppose w + 8 = -2*q, -5*q - x = 3*w - q. Suppose 1/2*t**2 + 0 + w*t - 1/2*t**3 = 0. Calculate t.
0, 1
Let j(c) be the third derivative of -c**6/132 + 56*c**5/165 - 149*c**4/132 + 14*c**3/11 + 299*c**2. Determine z so that j(z) = 0.
2/5, 1, 21
Suppose -11*h - 20 = -163. Suppose 2*t - 10 = -2*l, l + h = 7*t - 2*t. Let 0 - 33/5*m**4 - 27/5*m**t - 3/5*m**2 - 12/5*m**5 + 3/5*m = 0. What is m?
-1, 0, 1/4
Let l = -25/23 + 123/92. Let g be (-5)/(-4)*3/5. Factor g*c + 1/4*c**3 + 3/4*c**2 + l.
(c + 1)**3/4
Let g be 8*(-1)/(-24)*6. Let p(s) be the first derivative of 1 - 9/2*s**g - 3/5*s**5 + 0*s - 15/4*s**4 - 7*s**3. Factor p(h).
-3*h*(h + 1)**2*(h + 3)
Suppose -88*c**3 - 497*c**2 - 1280 - 1856*c + 26*c**2 - 4*c**4 - 194*c**2 + 5*c**2 = 0. Calculate c.
-8, -5, -1
Factor 0 - 4/13*s - 2/13*s**2.
-2*s*(s + 2)/13
Let w = -514/35 + 77/5. Let p(d) be the first derivative of 9 - w*d**3 + 9/14*d**2 + 6/7*d. Factor p(i).
-3*(i - 1)*(5*i + 2)/7
Let l = 151/200 - 51/200. Factor -u**4 + 1/2*u**5 + 0 + 0*u + u**2 - l*u**3.
u**2*(u - 2)*(u - 1)*(u + 1)/2
Let l(g) = -7*g**3 + 11*g**2 + 22*g - 32. Let r(b) = 72*b**3 - 108*b**2 - 219*b + 318. Let t(j) = -21*l(j) - 2*r(j). Factor t(q).
3*(q - 6)*(q - 1)*(q + 2)
What is u in -3*u**2 + 12*u**2 - 235 - 6*u**2 - 108*u + 7 = 0?
-2, 38
Suppose -5*k - 249 - 21 = 0. Let o = k - -54. Suppose -1/4*h**3 + 3/4*h - 1/2 + o*h**2 = 0. What is h?
-2, 1
Let l(m) be the third derivative of -m**10/120960 - m**9/30240 - m**8/26880 - 3*m**4/8 - 10*m**2. Let c(d) be the second derivative of l(d). Solve c(i) = 0.
-1, 0
Let r = 19 - 27. Let t(o) = 18*o**4 + 12*o**3 - 46*o**2 + 24. Let q(z) = -6*z**4 - 4*z**3 + 15*z**2 - 8. Let x(m) = r*q(m) - 3*t(m). What is p in x(p) = 0?
-2, -2/3, 1
Let x(i) = -i**2 - 3*i - 6. Let j be (4/6)/((-4)/(-6)). Let g(z) = 1. Let w(a) = j*x(a) + 4*g(a). Let w(o) = 0. Calculate o.
-2, -1
Let j(k) be the second derivative of -k**6/280 - k**5/35 - 3*k**4/56 - 5*k**2 + 14*k. Let v(g) be the first derivative of j(g). Let v(h) = 0. Calculate h.
-3, -1, 0
Let t(z) = -11*z**2 - 31*z - 15. Let p(n) = -13*n**2 - 30*n - 18. Let s(l) = 5*p(l) - 6*t(l). Factor s(q).
q*(q + 36)
Let c be 7 - 16/((-672)/(-270)). Let n(l) be the first derivative of -2 - 5/21*l**3 + c*l**2 - 3/7*l. Factor n(r).
-(r - 1)*(5*r - 3)/7
Solve -32/5*q**3 - 2/5*q**4 + 108/5*q**2 - 112/5*q + 38/5 = 0.
-19, 1
Let n = 66 + -64. Suppose -3*x**2 + 3*x - 5*x + n*x**2 = 0. What is x?
-2, 0
Let v(t) = t**3 + 18*t**2 + 16*t + 1. Let s(w) = w - 1. Let n(k) = -s(k) - v(k). Suppose n(p) = 0. What is p?
-17, -1, 0
Let m(c) be the second derivative of c**9/7560 - c**8/4200 + 7*c**3/6 - 18*c. Let p(w) be the second derivative of m(w). Factor p(l).
2*l**4*(l - 1)/5
Let i(f) be the first derivative of -f**3/3 - 72*f**2 - 5184*f - 32. Factor i(b).
-(b + 72)**2
Let b(g) be the second derivative of 9*g**5/20 + 257*g**4/3 + 9823*g**3/2 + 3249*g**2 - 182*g. Suppose b(u) = 0. Calculate u.
-57, -2/9
Let n(r) be the third derivative of -r**9/6480 + r**8/6720 + r**7/1080 - r**6/720 - r**4/2 - 9*r**2. Let a(i) be the second derivative of n(i). Factor a(b).
-b*(b - 1)*(b + 1)*(7*b - 3)/3
Let -6*p**4 + 12*p - 9/2*p**3 + 3/2*p**5 + 0 + 15*p**2 = 0. What is p?
-1, 0, 2, 4
Let p(d) be the second derivative of 1/160*d**5 + 1/24*d**4 + 0*d**2 + 1/12*d**3 - 17*d + 0. Suppose p(n) = 0. Calculate n.
-2, 0
Let k(u) be the third derivative of 3*u**8/2240 - u**7/1260 + 5*u**4/12 + 5*u**2. Let z(n) be the second derivative of k(n). Factor z(v).
v**2*(9*v - 2)
Suppose -8 - 2 = -2*i. Suppose 0 = -i*l + 5, -4*w = -2*w + 4*l - 8. Factor c + c - 3*c**2 - w*c.
-3*c**2
Suppose -5043/2 - 3/2*w**2 + 123*w = 0. What is w?
41
Let c(g) be the first derivative of -g**6/150 - g**5/100 + g**4/12 - g**3/10 - 8*g - 54. Let x(t) be the first derivative of c(t). Suppose x(i) = 0. What is i?
-3, 0, 1
Suppose -7*m + 84 = -56. Let s(l) = -l**3 + 19*l**2 + 21*l - 20. Let r be s(m). Solve 0*x + 2/7*x**2 + 2/7*x**5 - 2/7*x**3 + r - 2/7*x**4 = 0.
-1, 0, 1
Let f(w) be the third derivative of -w**5/30 - 25*w**4/12 + 482*w**2. Solve f(r) = 0 for r.
-25, 0
Let b(a) be the second derivative of -8*a**2 + 4/3*a**3 + 5*a - 1/12*a**4 + 0. Factor b(z).
-(z - 4)**2
Let v = 28644 + -28641. Factor -2*y + v + 1/3*y**2.
(y - 3)**2/3
Let p(g) be the third derivative of g**6/24 + 2*g**5/3 - 6*g**2 - 2*g. Factor p(y).
5*y**2*(y + 8)
Determine t so that 2/3*t**4 + 3*t + 8/3*t**3 - 1/3*t**5 + 0 - 6*t**2 = 0.
-3, 0, 1, 3
Suppose -p = -3*f - 14, 29*f - 24 = -2*p + 34*f. Suppose 9/7*u**p - 12/7*u - 12/7 + 3/7*u**4 + 12/7*u**3 = 0. What is u?
-2, -1, 1
Let i(h) be the first derivative of -6 + 4/3*h**3 + 24*h - 10*h**2. Factor i(d).
4*(d - 3)*(d - 2)
Let i(h) be the third derivative of -h**8/1512 - h**7/315 - h**6/270 + h**5/135 + h**4/36 + h**3/27 - 105*h**2. Solve i(n) = 0.
-1, 1
Let f(o) be the third derivative of o**7/1995 - 7*o**6/1140 + 7*o**5/285 - 2*o**4/57 + 301*o**2. Factor f(m).
2*m*(m - 4)*(m - 2)*(m - 1)/19
Let d = 19 + -16. Let 54*l**3 + 46*l**4 - 149*l**d + 125*l**2 - 11*l**4 - 5*l**5 - 80*l + 20 = 0. Calculate l.
1, 2
Let t = -20128/3 + 6710. Factor 4/3*a + 2 - t*a**2.
-2*(a - 3)*(a + 1)/3
Let f(o) be the first derivative of -2*o**2 + 8*o + 1/6*o**3 + 10. Factor f(z).
(z - 4)**2/2
Let b(v) be the second derivative of -1/84*v**4 + 0*v**2 - 1/140*v**5 + 1/21*v**3 + 17*v + 0. Let b(h) = 0. What is h?
-2, 0, 1
Let s(j) = -3*j**3 + 3*j + 5. Let o be (90/54)/(-2*(-1)/(-6)). Let n(u) = u**3 - u - 3. Let q(g) = o*n(g) -