 c(w).
2*(w + 1)*(w + 2)*(5*w + 2)
Let a(b) be the second derivative of 1/4*b**4 + 0*b**2 + 1/30*b**6 + 4*b - 3/20*b**5 - 1/6*b**3 + 5. Factor a(w).
w*(w - 1)**3
Let h(a) be the third derivative of -a**6/540 - 7*a**5/270 + 59*a**4/54 + 880*a**3/27 + 1480*a**2. What is d in h(d) = 0?
-10, -8, 11
Let r = 1487 - 1481. Let l(x) be the third derivative of 1/30*x**r + 0*x + 0*x**3 - 1/3*x**4 - 9*x**2 + 0 + 1/15*x**5. Let l(n) = 0. What is n?
-2, 0, 1
Suppose 0 = 14*u + 551 - 8167. Factor 1287 + 3120*p + p**4 + u + 80*p**3 + 1678*p**2 - 310.
(p + 1)**2*(p + 39)**2
Let d(b) = -6*b**2. Let r(x) = -505 + x**2 + 505. Let n be (-20)/8*(-6)/(-5). Let a(m) = n*r(m) - d(m). Factor a(s).
3*s**2
Let 163*f + 31*f - 354 - 5*f**2 + 86*f - 186 = 0. What is f?
2, 54
Suppose 6*w = -24*w + 2700. What is k in -45*k + 155*k**3 - 2 + 2 - w*k**2 - 5 + 60*k**4 + 5 = 0?
-3, -1/3, 0, 3/4
Solve -150*p**2 - 2*p**4 + 14428*p**3 + 14363*p**3 - 28943*p**3 = 0 for p.
-75, -1, 0
Let q be 62/(((-308)/(-18))/1). Let y = q - 21/11. Factor 2/7*s**4 + y*s**3 + 0 + 16/7*s + 24/7*s**2.
2*s*(s + 2)**3/7
Let x(r) = r**4 - 21*r**3 - 16*r**2 + 9*r + 42. Let g(s) = -s**4 + 22*s**3 + 17*s**2 - 8*s - 44. Let o(m) = -13*g(m) - 14*x(m). Factor o(l).
-(l - 8)*(l - 2)*(l + 1)**2
Let j be (-27 + 21 - (-4 - -3)) + (192/44 - -3). Suppose -j*r**3 - 94/11*r + 2/11*r**4 - 32/11 - 90/11*r**2 = 0. What is r?
-1, 16
Suppose 1036 = -38*l + 1112. Let j(a) be the second derivative of -8*a**l + 4*a**3 + 1/20*a**5 - 3/4*a**4 + 0 + 14*a. What is k in j(k) = 0?
1, 4
Let n(u) be the first derivative of u**6/8 - 17*u**5/20 + 15*u**4/8 - 3*u**3/2 - u**2/8 + 3*u/4 - 470. Factor n(k).
(k - 3)*(k - 1)**3*(3*k + 1)/4
Let a(j) be the first derivative of j**4/18 + 1562*j**3/27 - 782*j**2/9 + 2509. Factor a(k).
2*k*(k - 1)*(k + 782)/9
Let j(n) = 5*n**2 + 4*n - 5. Let r be j(1). Suppose 4 - 5*w**2 - 8*w**r - 13*w**2 + 7*w**4 - 12 - 7*w**3 - 20*w = 0. What is w?
-2, -1
Let b be (7 + 48/(-7))/3. Let m(t) be the second derivative of -b*t**3 + 1/42*t**4 - 23*t + 0 - 6/7*t**2. Factor m(v).
2*(v - 3)*(v + 2)/7
Let q = -77068 - -77071. Factor 4/7 - 2/7*s + 2/7*s**q - 4/7*s**2.
2*(s - 2)*(s - 1)*(s + 1)/7
Let f(t) be the first derivative of 2*t**5/25 - 7*t**4/10 - 14*t**3/15 + 43*t**2/5 + 84*t/5 - 1889. Suppose f(r) = 0. Calculate r.
-2, -1, 3, 7
Let g = 7 + -5. Factor -2*w**2 - 95*w**5 + g*w**2 - 60*w**4 + 98*w**5.
3*w**4*(w - 20)
Let q(o) be the first derivative of -o**4/2 - 11*o**3/3 + 15*o**2/2 - 12*o + 1. Let b be q(-9). Factor 412 - 8*k - 16*k**3 + 20*k + 8*k**2 - b + 4*k**5.
4*(k - 1)**3*(k + 1)*(k + 2)
Factor 0*p**2 + 1/7*p**4 + 0 + 2*p**3 + 0*p.
p**3*(p + 14)/7
Let h be 8 + -5 - (-15533)/21. Let q = h - 742. Factor q + 10/9*i**2 + 14/9*i + 2/9*i**3.
2*(i + 1)**2*(i + 3)/9
Let l(w) be the third derivative of w**5/30 - 4*w**4/3 - 35*w**3 - 613*w**2. Solve l(b) = 0 for b.
-5, 21
Factor -132280*m**2 + 132940*m**2 + 1308 + 2*m**3 + 1806*m + 160*m.
2*(m + 1)*(m + 2)*(m + 327)
Let i(t) be the first derivative of 7 - 9/2*t**3 + 3*t**2 + 18*t + 0*t**4 + 3/10*t**5. Factor i(s).
3*(s - 2)**2*(s + 1)*(s + 3)/2
Let l(c) = -c**4 + 158*c**3 + 584*c**2 + 306*c - 1047. Let w(t) = -4*t**3 - t**2 + 4*t + 1. Let d(m) = -l(m) - 12*w(m). Suppose d(n) = 0. Calculate n.
-3, 1, 115
Let r(k) be the third derivative of -k**5/60 - 5*k**4/4 + k**3/3 + k**2 + 63*k. Let b be r(-30). Factor 3 + 39/2*g + 33/2*g**b.
3*(g + 1)*(11*g + 2)/2
Let h(g) be the third derivative of -3*g**2 + 0*g**3 + 0 + 5*g - 1/6*g**7 + 5/336*g**8 - 5/12*g**5 + 11/24*g**6 + 0*g**4. Factor h(b).
5*b**2*(b - 5)*(b - 1)**2
Let q be (-14)/((-70)/15) + (3/2)/(54/(-12)). Factor -16/3*m**3 + 12 + 16*m - q*m**2 + 4/3*m**4.
4*(m - 3)**2*(m + 1)**2/3
Find u such that -770*u - 882*u + 57*u**3 - 480 - 340*u - 351 + 15*u**4 - 943*u**2 - u**5 - 177 = 0.
-7, -1, 12
Let m = -2587 + 2587. Let g(r) be the third derivative of 1/10*r**5 + m + 13/16*r**4 + 0*r + 3/4*r**3 + 8*r**2. Solve g(i) = 0 for i.
-3, -1/4
Factor 26/3*c - 53/6 + 1/6*c**2.
(c - 1)*(c + 53)/6
Factor 165*b**3 - 35*b**3 - 47*b**3 - 43*b**3 - 41*b**3 - 25*b**2.
-b**2*(b + 25)
Let w(n) be the third derivative of -n**5/270 + 437*n**4/18 - 190969*n**3/3 - 8*n**2 + 397*n. Let w(c) = 0. Calculate c.
1311
Let y = -109 - -112. Suppose y*m - 781 = 590. What is n in -29*n + 0*n + 427 + 4*n - m + 5*n**2 = 0?
-1, 6
Suppose 4*p - 68 = -105*s + 103*s, 0 = 4*p + 4*s - 52. Let l(w) be the second derivative of -1/3*w**3 - 1/6*w**4 + 2*w**2 + 0 + p*w. Let l(f) = 0. Calculate f.
-2, 1
Let o(t) = 5*t**2 + 2*t - 15. Let b(a) = 5*a**2 - 13*a**2 + 15 - a + a**2 - a. Let y(p) = 2*b(p) + 3*o(p). Let y(w) = 0. What is w?
-5, 3
Let f(r) be the second derivative of r**6/60 - 7*r**5/5 - 175*r**4/24 - 59*r**3/6 - 20*r + 7. Factor f(u).
u*(u - 59)*(u + 1)*(u + 2)/2
Factor 6/11*h**4 + 0*h + 18/11*h**2 + 30/11*h**3 + 0 - 6/11*h**5.
-6*h**2*(h - 3)*(h + 1)**2/11
Suppose 152 + 153 + 3411*w - 289*w**2 + 101*w**2 + 128*w**2 + 244*w = 0. Calculate w.
-1/12, 61
Factor 1/2*s**3 + 10*s - 12*s**2 + s**4 + 8.
(s - 2)**2*(s + 4)*(2*s + 1)/2
Find d, given that 18098/3*d + 1724/3 + 21105*d**2 - 343/6*d**4 + 147539/6*d**3 = 0.
-2/7, 431
Factor 2/17*v**2 - 662/17 + 660/17*v.
2*(v - 1)*(v + 331)/17
Suppose 2/21*u**5 + 0*u + 2/7*u**4 + 64/21*u**2 + 0 - 24/7*u**3 = 0. What is u?
-8, 0, 1, 4
Let a(j) = -1930*j**2 - 311050*j - 16693126. Let n(w) = -2*w**3 + 7719*w**2 + 1244199*w + 66772505. Let v(h) = -9*a(h) - 2*n(h). Suppose v(y) = 0. Calculate y.
-161
Let r(i) be the first derivative of i**7/210 + 2*i**6/9 + 37*i**5/30 + 3*i**4 + 2*i**3/3 + 9*i**2 + 93. Let y(p) be the third derivative of r(p). Factor y(k).
4*(k + 1)**2*(k + 18)
Factor -10*u**3 - 129*u + 8*u**3 - 190*u**2 + u**3 + 58*u**2 - 2*u**3.
-3*u*(u + 1)*(u + 43)
Let h = -726 - -1049. Suppose 55*j - 323 - 5*j**2 + h = 0. Calculate j.
0, 11
Let n(a) be the third derivative of a**8/336 + 449*a**7/210 - 451*a**6/60 - 2*a**2 + 23*a + 91. Factor n(d).
d**3*(d - 2)*(d + 451)
Let o(c) be the first derivative of c**5/20 + 469*c**4/8 + 73007*c**3/4 - 110215*c**2/2 + 55225*c - 34. Suppose o(j) = 0. What is j?
-470, 1
Let y = 14 - 11. Let c be 670/(-208) + 3 - 15/(-40). Determine u, given that 2/13*u - c - 2/13*u**y + 2/13*u**2 = 0.
-1, 1
Find o, given that -68*o - 1/2*o**3 - 35*o**2 + 0 = 0.
-68, -2, 0
Suppose -194*s = -156*s - 76. Let p(y) be the first derivative of 4/7*y**s + 7 - 6/7*y - 2/21*y**3. Let p(m) = 0. Calculate m.
1, 3
Suppose 6 = -4*j + j, -v - 15*j = -2*j + 23. Factor 0 - 10*n - 14*n**2 - 22/5*n**v - 2/5*n**4.
-2*n*(n + 1)*(n + 5)**2/5
Suppose 10*v - 13*n - 78 = 13*v, 5*n + 30 = 3*v. Let l(a) be the second derivative of -33*a + v*a**2 + 2/21*a**3 + 1/42*a**4 + 0. Factor l(c).
2*c*(c + 2)/7
Let j(r) be the second derivative of -r**6/150 - 7*r**5/50 - 3*r**4/4 - 26*r**3/15 - 2*r**2 - 4315*r. Solve j(a) = 0.
-10, -2, -1
Let l = -1199 + 29977/25. Let y(h) be the first derivative of 36/5*h**3 + l*h**5 + 19 + 108/5*h**2 + 162/5*h + 6/5*h**4. Factor y(a).
2*(a + 3)**4/5
Let z(j) be the first derivative of 9*j**6/10 + 99*j**5/20 - 17*j**4/4 - 21*j**3/2 - 6*j**2 - 26*j + 64. Let s(b) be the first derivative of z(b). Factor s(y).
3*(y - 1)*(y + 4)*(3*y + 1)**2
Let i(h) be the third derivative of -h**8/112 + 11*h**7/210 - h**6/20 - 173*h**2 - 3. Factor i(s).
-s**3*(s - 3)*(3*s - 2)
Suppose -2*p - 5*v = -23, -6*v + 9 = -3*v. Let t(a) = -2*a**2 + 8*a + 2. Let g be t(p). Suppose -5 - w**4 + 21 + 3*w**g - 5 - w**3 - 13 + w = 0. What is w?
-2, -1, 1
Let m(q) = 30*q**3 - 2445*q**2 + 5525*q - 1620. Let u(d) = 3*d**3 - 271*d**2 + 614*d - 180. Let g(f) = -6*m(f) + 55*u(f). Find j such that g(j) = 0.
-18, 1/3, 2
Let f(q) be the second derivative of -9/100*q**5 + 25*q + 59/20*q**4 + 4 + 83/10*q**3 + 63/10*q**2. Solve f(o) = 0.
-1, -1/3, 21
Let p(j) be the first derivative of 169*j**5/30 + 65*j**4/8 - 311*j**3/18 - 17*j**2/4 - j/3 - 734. Find i such that p(i) = 0.
-2, -1/13, 1
Let w(d) be the third derivative of -7*d**6/360 - 179*d**5/90 - 17*d**4/24 - 2572*d**2. Let w(m) = 0. Calculate m.
-51, -1/7, 0
Let d = -192 - -176. Let m be -1 + (((-420)/d)/7 - 2). Factor 3*s**4 + 9/2*s**3 + m*s + 3*s**2 + 3/4*s**5 + 0.
3*s*(s + 1)**4/4
Let b(k) be the first derivative of 0*k + 60 - 2/9*k**2 - 8/27*k**3 - 1/9*k**4. Find w such that b(w) = 0.
-1, 0