d**g + 0 - 3/5*d**3.
-3*d*(d - 3)*(d - 2)/5
Let x(d) be the second derivative of -2*d**6/15 + 42*d**5/5 + 44*d**4 + 268*d**3/3 + 90*d**2 - 2402*d. Factor x(v).
-4*(v - 45)*(v + 1)**3
Let z(g) be the third derivative of -g**6/24 + 16*g**5/3 - 475*g**4/2 + 3000*g**3 + 102*g**2 - 10. Let z(f) = 0. What is f?
4, 30
Let z(w) be the second derivative of -5*w**4/12 + 65*w**3/36 - 5*w**2/6 + 92*w + 1. What is l in z(l) = 0?
1/6, 2
Let 6/5*s**2 - 1138*s + 1896/5 = 0. What is s?
1/3, 948
Let y(l) be the first derivative of l**6/21 - 2*l**5/35 - 4*l**4/7 + 8*l**3/7 - 1118. Factor y(j).
2*j**2*(j - 2)**2*(j + 3)/7
Suppose -2175/2 - 1089*d - 3/2*d**2 = 0. What is d?
-725, -1
Let l(f) be the first derivative of 18/5*f**2 + 4/15*f**3 + 0*f - 259. What is x in l(x) = 0?
-9, 0
Let q be (-810)/(-450)*(28/(-12) + 4). Let h(r) be the third derivative of 32*r**2 + 0*r + 0 - 1/200*r**6 + 9/100*r**5 - 27/40*r**4 + 27/10*r**q. Factor h(t).
-3*(t - 3)**3/5
Suppose 416/17*c + 2/17*c**5 - 166/17*c**3 + 0 - 240/17*c**2 - 12/17*c**4 = 0. What is c?
-4, 0, 1, 13
Let n be 2 - (-77)/(-49) - (-6 + (-124)/(-28)). Let o(l) be the first derivative of 1/4*l**4 + 8/3*l**3 + 8*l**n - 8 + 0*l. Solve o(w) = 0 for w.
-4, 0
Let v be 528/132 + -1 + -1. Let f(s) be the first derivative of 0*s**v + 2/11*s**4 + 17 + 0*s + 2/11*s**3. Factor f(n).
2*n**2*(4*n + 3)/11
Let i(k) be the second derivative of -k**4/24 - 15*k**3/2 + 5006*k. Suppose i(h) = 0. What is h?
-90, 0
Solve -30/11*i + 28/11 + 2/11*i**2 = 0 for i.
1, 14
Suppose 637*n - 2040*n = -606*n - 685*n - 224. Find a, given that -1/3*a**n + 80/3 + 38/3*a = 0.
-2, 40
Solve 2/7*w**2 - 510/7*w - 296 = 0 for w.
-4, 259
Suppose -16 = t - 5*t. Let c(y) = -y**2 - 6*y + 42. Let r be c(t). What is i in -8/7*i + 2/7*i**r + 8/7 = 0?
2
Let m be 56/36*((-8)/(448/248) - -5). Factor 2/9*v**2 - m + 0*v.
2*(v - 2)*(v + 2)/9
Suppose 146*m**3 - 76 + 23*m**2 - 212 - 143*m**3 - 228*m + 14*m**2 + 26*m**2 = 0. What is m?
-24, -1, 4
Suppose -143 = -386*n + 693 - 64. Suppose 4/3*y**n - 44/3 - 40/3*y = 0. Calculate y.
-1, 11
Let w = 361 - 21. Factor w*g + 35*g**3 + 270*g**2 - 42 + 0 - 78.
5*(g + 2)*(g + 6)*(7*g - 2)
Let k = -9 - -11. Suppose k*a = -3*a + 3*a. Find p, given that -1/5*p**3 - 1/5*p**4 + a + 1/5*p**2 + 1/5*p = 0.
-1, 0, 1
Let z = -660 + 1341/2. Factor z*a + 0 - 3/2*a**2.
-3*a*(a - 7)/2
Let p(l) be the third derivative of -l**6/160 - l**5/5 + 19*l**4/32 + 17*l**3/4 - 6*l**2 - 13*l + 5. Find j, given that p(j) = 0.
-17, -1, 2
Factor -416240*k - 17885*k**3 + 425920 + 133980*k**2 + 1715/2*k**4.
5*(k - 2)*(7*k - 44)**3/2
What is l in 16/9 + 28/9*l - 4/9*l**3 + 8/9*l**2 = 0?
-1, 4
Let w(z) be the third derivative of -z**6/80 - 19*z**5/40 + 11*z**4 - 39*z**3 - 1421*z**2. Solve w(d) = 0 for d.
-26, 1, 6
Let i(a) be the third derivative of a**5/60 + a**4/24 - a**3/6 - 32*a**2. Let w(y) = -14*y**3 - 4*y**2 + 12*y + 4. Let l(m) = -4*i(m) - 2*w(m). Factor l(j).
4*(j - 1)*(j + 1)*(7*j + 1)
Let t(x) = -6*x**3 - 16*x**2 - 15*x - 5. Let l = -147 + 150. Let i(m) = -m**4 - m**3 - m**2 - 2*m - 1. Let q(s) = l*t(s) + 3*i(s). Solve q(d) = 0 for d.
-3, -2, -1
Let j(t) be the first derivative of t**4 - 80*t**3/3 + 96*t**2 + 2304*t - 393. Factor j(k).
4*(k - 12)**2*(k + 4)
Let w(z) be the first derivative of z**6 + 3*z**5/5 - 3*z**4 - 2*z**3 + 3*z**2 + 3*z - 1512. Suppose w(y) = 0. What is y?
-1, -1/2, 1
Let r(j) be the second derivative of -1/16*j**4 + 0 - 3/8*j**2 + 125*j + 1/4*j**3. Factor r(f).
-3*(f - 1)**2/4
Let l(c) be the first derivative of -4/3*c**6 + 12*c**5 - 185/6*c**3 - 185/8*c**4 - 62 + 30*c**2 - 8*c. Solve l(s) = 0.
-1, 1/4, 4
Suppose -f + 5 = 0, -37 = -5122*d + 5096*d + 3*f. Solve 1/2*k**3 + 5/4 + 7/2*k + 3*k**d - 1/4*k**4 = 0.
-1, 5
Let g(p) be the second derivative of -p**4/3 + 718*p**3 - 2152*p**2 + 1052*p. Factor g(b).
-4*(b - 1076)*(b - 1)
Let p(q) be the third derivative of 1/120*q**5 - 1/3*q**4 + 35 + 7/3*q**3 + 0*q - q**2. Factor p(s).
(s - 14)*(s - 2)/2
Let x be 78/(-14) + (19 - (-130)/(-13)). Let r(z) be the second derivative of 3*z + 13/28*z**4 + x*z**3 + 3/140*z**5 + 54/7*z**2 + 0. Factor r(i).
3*(i + 1)*(i + 6)**2/7
Let g = -20 - -24. Let y be 2 + (-6)/g*(-4)/(-3). Factor y*l**3 + 3*l + 935*l**2 - 937*l**2 + 2*l**4 + l**3 - 4*l.
l*(l - 1)*(l + 1)*(2*l + 1)
Let v = 7/165968 + 9958031/1161776. Solve 2/7*b**2 - v + 2/7*b = 0.
-6, 5
Let v = -608355 + 608355. Let a = 8 - 5. Let -2/7*i**a + v + 0*i - 2/7*i**2 = 0. What is i?
-1, 0
Let a(r) = 2*r**3 + 2*r**2 - 85*r + 84. Let f be a(1). Factor -2/13*g**f + 56/13*g**2 + 0 - 392/13*g.
-2*g*(g - 14)**2/13
Let c(h) be the third derivative of 0 + 1/8*h**4 - 1/180*h**5 + 0*h + 11/9*h**3 + 23*h**2. Find f such that c(f) = 0.
-2, 11
Let x(m) = m**3 + 28*m**2 + m + 1. Let r(j) = 5*j**4 - 10*j**3 + 560*j**2 + 130*j + 95. Let t(k) = r(k) - 20*x(k). Solve t(o) = 0.
-1, 3, 5
Let n(j) be the second derivative of -8/45*j**5 + 0 + 0*j**3 + 7/180*j**6 - 30*j - 11/2*j**2 + 1/9*j**4. Let x(u) be the first derivative of n(u). Factor x(i).
2*i*(i - 2)*(7*i - 2)/3
Let u(o) be the third derivative of 3*o**3 - 22*o**2 - 19/8*o**4 + 0 + 3/20*o**5 + 0*o. Factor u(v).
3*(v - 6)*(3*v - 1)
Let f(u) = -u**3 - 11*u**2 - 7*u. Let r be f(-8). Let b = r - -192. Find h, given that -6*h**2 - b*h - 151 - 45 + 2*h**2 = 0.
-7
Factor -547/11*t + 516/11 + 1/11*t**3 + 30/11*t**2.
(t - 12)*(t - 1)*(t + 43)/11
Suppose 5*v + 3*f = 2*f + 5, -5*f - 21 = 2*v. Suppose 2*o = -v*o + 8. Determine a, given that -6*a**4 + 6*a**5 - o*a**5 - a**5 = 0.
0, 2
Let i(p) be the third derivative of 44/15*p**5 + 7*p**2 - 22/105*p**7 + 4/3*p**4 - 5*p + 0*p**3 + 0 + 17/15*p**6 - 3/28*p**8. Let i(n) = 0. What is n?
-2, -1, -2/9, 0, 2
Let a(d) = -8*d**3 - 10*d**2 - 20*d - 6. Let o(p) = -7*p**3 + 4 - 19*p + 1 - 11*p**2 + 0 - 10. Let f(u) = 5*a(u) - 6*o(u). Factor f(s).
2*s*(s + 1)*(s + 7)
Suppose 0 = -52*w + 9*w + 16*w + 54. Determine p, given that 0*p + 2/3*p**4 + 2/9*p**5 + 2/3*p**3 + 2/9*p**w + 0 = 0.
-1, 0
Let o(r) be the first derivative of 5*r**6/6 - 14*r**5 + 45*r**4 - 170*r**3/3 + 55*r**2/2 - 1405. Suppose o(k) = 0. What is k?
0, 1, 11
Let s(b) = b**4 - 3*b**3 - b - 1. Let f(p) = -2*p**4 + 2*p**3 + 6*p**2 + p + 1. Let x(t) = -3*f(t) - 3*s(t). Solve x(m) = 0.
-3, 0, 2
Let s be (-2)/(-1 - 50/(-45)). Let n be (1 + 2)*(-1)/(s/60). Factor -675*c + n*c**2 - 5*c**4 + 675*c - 5.
-5*(c - 1)**2*(c + 1)**2
Let p be ((-1)/2)/((18055/(-6))/(-23)). Let x = p + 1591/5495. Let 0 + 2/7*f + x*f**2 = 0. What is f?
-1, 0
Find u such that -85744*u**2 - 3*u**3 + 312*u - 631 + 85882*u**2 - 521 = 0.
-4, 2, 48
Let j(t) = 3*t**3 + 7*t**2 - 8*t - 4. Let u be j(-3). Suppose -9*c = u*c - 3*c. Factor -2/9*h**4 + c*h + 0 - 2/9*h**2 + 4/9*h**3.
-2*h**2*(h - 1)**2/9
Let d(u) be the first derivative of 25*u**7/168 - 5*u**6/12 - 3*u**5/2 - 5*u**4/3 - 19*u**3/3 + 77. Let r(n) be the third derivative of d(n). Factor r(p).
5*(p - 2)*(5*p + 2)**2
Solve -208/7*c**2 + 0 + 606/7*c + 2/7*c**3 = 0 for c.
0, 3, 101
Let t(o) = 26*o**2 - 3582*o - 3641. Let r(v) = 5*v**2 - 717*v - 728. Let g(j) = -11*r(j) + 2*t(j). Solve g(u) = 0 for u.
-1, 242
Suppose -11*b + j = -11, 2*b + 55 = -2*j - 3*j. Factor b*s - 2/3*s**3 - 6*s**2 + 0.
-2*s**2*(s + 9)/3
Let k(d) be the first derivative of d**5/30 + d**4/24 - d**3/3 + 1103. Factor k(p).
p**2*(p - 2)*(p + 3)/6
Let z be (-70)/(-4)*12/7. Factor 7*w**4 - 30*w**3 - 25 + z*w + 20*w**2 + 11*w**4 - 13*w**4.
5*(w - 5)*(w - 1)**2*(w + 1)
Let n = 181943 - 1273569/7. Factor 64/7*s + 4/7*s**5 + 0*s**4 + 0*s**2 + 0 - n*s**3.
4*s*(s - 2)**2*(s + 2)**2/7
Let v(t) be the first derivative of -t**8/1680 + t**7/420 + t**6/72 - t**5/20 + 35*t**3/3 + 56. Let n(o) be the third derivative of v(o). Factor n(a).
-a*(a - 3)*(a - 1)*(a + 2)
Let n(x) = -x**3 - 3*x**2 + 3*x - 5. Let b = 211 - 217. Let k(y) = y**3 + 3*y**2 - 4*y + 6. Suppose -25 = 2*z + 3*z. Let w(m) = b*n(m) + z*k(m). Factor w(s).
s*(s + 1)*(s + 2)
Factor -3/5*q**3 - 3645*q + 459/5*q**2 + 10125.
-3*(q - 75)**2*(q - 3)/5
Let v = 818762/29773 + -9/59546. Factor 1/4*t**2 - v*t + 3025/4.
(t - 55)**2/4
Suppose -60 = 103*j - 105*j. Determine n so that j*n**2 + 6*n**3 + 2*n**2 - 8*n**5 + 91*n - 48*n - 22*n**4 - 51*n = 0.
-2, 0, 1/4, 1
Let w be (3 - -5) + ((-32)/4 - (0 + 0)). Let n(u) be the second derivative of 0*u**3 + 1/60*u**4 +