. What is m in k(m) = 0?
-1, 0, 1
Let i(s) be the first derivative of -s**7/840 - s**6/45 - 2*s**5/15 + 10*s**3/3 + 17. Let p(x) be the third derivative of i(x). Factor p(m).
-m*(m + 4)**2
What is t in -524/5*t + 504/5 + 16/5*t**2 + 4/5*t**3 = 0?
-14, 1, 9
Let g(b) be the second derivative of b**6/90 - 61*b**5/60 + 59*b**4/36 + 61*b**3/18 - 10*b**2 + 2031*b. Solve g(u) = 0 for u.
-1, 1, 60
Let c(a) be the third derivative of -1/210*a**7 - 1/30*a**5 + 0*a**3 - 1/672*a**8 + 96*a**2 + 0 + 7/240*a**6 + 0*a**4 + 0*a. Factor c(x).
-x**2*(x - 1)**2*(x + 4)/2
Let t(h) be the first derivative of 3*h**5/5 - 21*h**4/4 - 55*h**3 + 381*h**2/2 - 198*h - 821. Factor t(m).
3*(m - 11)*(m - 1)**2*(m + 6)
Let n = 762/355 - -18/71. Let f be (-12)/(-5)*15/18. Suppose 0 - 2/5*o**5 - 8/5*o**f - 2/5*o - n*o**3 - 8/5*o**4 = 0. What is o?
-1, 0
Let c(h) = -h**3 - 29*h**2 + 81*h + 1534. Let v be c(-30). Suppose 10/3*p**3 - 20/3 - 40/3*p - 5*p**2 + 5/3*p**v = 0. What is p?
-2, -1, 2
Let m(h) be the third derivative of 0*h + 2/35*h**7 - 1/168*h**8 - 1/12*h**6 + 0*h**3 - 75*h**2 + 3 + 0*h**4 + 0*h**5. What is t in m(t) = 0?
0, 1, 5
Let g(w) be the third derivative of w**7/3360 + w**6/72 + 169*w**3/6 - 55*w**2. Let z(t) be the first derivative of g(t). Factor z(r).
r**2*(r + 20)/4
Let z(b) be the first derivative of -3*b**5/35 + 15*b**4/28 + 8*b**3/7 - 72*b**2/7 + 6496. Factor z(v).
-3*v*(v - 4)**2*(v + 3)/7
What is m in -18/7*m**2 + 284/7*m + 64/7 = 0?
-2/9, 16
Let m = -43454 + 651818/15. Factor 2/5 + 2/15*z**2 - m*z.
2*(z - 3)*(z - 1)/15
Let n(d) be the first derivative of -9/4*d**4 - 15/2*d**2 + 9*d**3 + 0*d - 172 - 3/5*d**5. Determine b so that n(b) = 0.
-5, 0, 1
Let x be 6*(-4)/8 + 6 + (-133 - -134). Solve 2*y**2 - 1/3*y**x + 0 + 5/3*y**3 + 0*y = 0.
-1, 0, 6
Let p(r) be the first derivative of 2*r**2 + 0*r + 13 + r**4 - 8/3*r**3. Factor p(v).
4*v*(v - 1)**2
Let r be (-429)/(-455) + (-216)/270. Factor 3/7*o**3 + 0 + r*o**4 - 9/7*o**2 + 5/7*o.
o*(o - 1)**2*(o + 5)/7
Let t(n) = -7*n**2 - 1205*n + 16. Let o(v) = 5*v**2 + 1196*v - 12. Let u(i) = -4*o(i) - 3*t(i). Let u(s) = 0. Calculate s.
0, 1169
Determine a so that 50/3*a**3 - 24 + 64*a - 170/3*a**2 = 0.
1, 6/5
Let k(a) = 6*a**3 + 10*a**2 - 8*a. Let r(h) = 4*h**3 + 7*h**2 - 5*h. Let l = 1 - 6. Let x(n) = l*k(n) + 8*r(n). Factor x(z).
2*z**2*(z + 3)
Determine z, given that 10*z**3 + z**4 + 7048*z**2 + 32*z - 3529*z**2 + 12 - 3490*z**2 = 0.
-6, -2, -1
Let d(b) be the first derivative of b**6/6 + 193*b**5/5 + 381*b**4/2 + 1138*b**3/3 + 757*b**2/2 + 189*b - 1858. Solve d(u) = 0 for u.
-189, -1
Factor 2584/3*h + 1669264/3 + 1/3*h**2.
(h + 1292)**2/3
Let g be (-5 - -2) + 12/3. Let p be (-3 - 0) + (-2 + 8 - g). Determine k, given that -6 + 0*k**2 + p*k - 3*k**2 - k + 8*k = 0.
1, 2
Let v(d) be the second derivative of d**7/42 - 35*d**6/72 + d**5 - 61*d**3/6 - 2*d**2 + 44*d. Let q(u) be the second derivative of v(u). Solve q(a) = 0 for a.
0, 3/4, 8
Let x be (0/(35 - 8))/(-1 + 2). Factor 9*k**2 - 42/5*k + x - 3/5*k**3.
-3*k*(k - 14)*(k - 1)/5
Let q be (-104)/(-182) + -3 + 0 + 3. Let w be (-80)/140 - (-984)/21. Factor 72/7*r - w - q*r**2.
-4*(r - 9)**2/7
Let y(k) be the third derivative of k**8/112 + k**7/10 + k**6/10 - 3*k**5/5 + k**2 + 7*k + 102. Factor y(g).
3*g**2*(g - 1)*(g + 2)*(g + 6)
Let q(w) be the third derivative of -w**6/120 + 17*w**5/60 + w**4/6 - 34*w**3/3 - 3250*w**2. Factor q(i).
-(i - 17)*(i - 2)*(i + 2)
Let n be -12 + 6 + 3 + (13 - -9 - 15). Factor -12/5*x**2 - 8/5*x - 8/5*x**3 - 2/5 - 2/5*x**n.
-2*(x + 1)**4/5
Let z = 10759 - 258215/24. Let p(w) be the third derivative of 5/6*w**3 + 24*w**2 + 0 + 0*w + 1/4*w**5 + z*w**6 + 5/8*w**4. Factor p(c).
5*(c + 1)**3
Let f be 1/((-10)/124) + (8558 - 8545). Factor 1/5 + 2*x**3 + 12/5*x**2 + 6/5*x + f*x**4.
(x + 1)**3*(3*x + 1)/5
Let j(m) = 3*m**2 - 91*m - 6. Let b(g) = 2*g**2 - 2*g - 3. Let a(y) = -10*b(y) + 5*j(y). Let a(f) = 0. Calculate f.
-87, 0
Let s = 259473 + -259473. Suppose 3/2*u**4 + s - 1/6*u**2 + 1/2*u - 3/2*u**3 - 1/3*u**5 = 0. Calculate u.
-1/2, 0, 1, 3
Let 8/5*v**3 - 56/5*v**2 - 64*v - 384/5 + 2/5*v**4 = 0. Calculate v.
-4, -2, 6
Let s be -3 + 128/22 - 6/(-33). Let 31*o**3 + 5*o + s*o**4 + 12 + 11*o - 7*o**4 - 47*o**3 - 8*o**2 = 0. Calculate o.
-3, -1, 1
Suppose l - 79 = 2*f, 2*f + 3*l + 129 - 30 = 0. Let x be f/(-6) - -4*6/(-8). Factor -2/15*a**x + 2/5*a**2 + 4/15*a**3 + 0 + 0*a.
-2*a**2*(a - 3)*(a + 1)/15
Let p be (1/(-3))/(1/(-9)). Let n be 6/(-27) + (-2768)/(-144). Solve 15 - 19*c - n - c - 5*c**p - 7*c**3 - 28*c**2 = 0.
-1, -1/3
Let b = 5068/4653 - 230/423. Find s such that 6/11*s + 6/11 - b*s**3 - 6/11*s**2 = 0.
-1, 1
Determine b so that -12/5 - 74/5*b - 56/3*b**2 + 40/3*b**3 = 0.
-3/10, 2
Suppose -5*j = -2*d + 172, j + 454 = 4*d + 74. Suppose 22*b - d = -26*b. Factor -1/11*f**4 - 2/11*f + 0 + 2/11*f**3 + 1/11*f**b.
-f*(f - 2)*(f - 1)*(f + 1)/11
Let o be ((-6)/(-9))/(5/(-15))*-1. Suppose -o*r + 14 = 5*r. Factor 12 + 6*v**r - 51*v + 39*v + 34*v.
2*(v + 3)*(3*v + 2)
Let 8 + 57*q**3 + 15 + 89 + 3*q**5 - 102*q**2 + 8 - 6*q**5 - 36*q = 0. What is q?
-5, -1, 2
Factor 401*n**2 - 48 - 214*n**2 + 54*n + n**3 + 20*n - 214*n**2.
(n - 24)*(n - 2)*(n - 1)
Let f(n) be the first derivative of n**7/14 - 2*n**6 - 25*n - 6. Let u(h) be the first derivative of f(h). Factor u(o).
3*o**4*(o - 20)
Let m be 20/25*(-10)/(-4). Find v such that 600*v + 3*v**4 + 662*v**2 + 31*v**3 - 392*v**m + 375 + 17*v**3 = 0.
-5, -1
Let i(u) be the second derivative of -20 + 1/30*u**5 - 2*u + 0*u**2 + 1/36*u**4 - 1/18*u**3. Factor i(t).
t*(t + 1)*(2*t - 1)/3
Suppose 5*x - 2*r = 13, r + 1 = -5*x + 2. Let g be x/((-10)/12)*(-14)/63. What is j in -6/5*j**3 + 4/15*j**2 - 8/15*j**4 + 6/5*j + g = 0?
-2, -1, -1/4, 1
Let c be (24/(-9))/(16/24). Let o(s) = s**3 + 8*s**2 - 3*s. Let z(m) = 4*m**3 + 24*m**2 - 7*m. Let u(y) = c*z(y) + 14*o(y). Let u(p) = 0. What is p?
0, 1, 7
Factor 1180/13 + 8*p**2 - 2/13*p**3 + 62*p.
-2*(p - 59)*(p + 2)*(p + 5)/13
Let q(v) = -v**2 - 7 + 8 + v - 5 + 3. Let r(p) = 7*p**2 - 28*p + 49. Let c(k) = 4*q(k) + r(k). Factor c(f).
3*(f - 5)*(f - 3)
Let h(b) = 2*b**2 - 3*b - 7. Let y be h(3). Determine i, given that -5*i**3 - 5757 + 101*i**y - 31*i**2 - 125*i + 5817 = 0.
1, 12
Suppose 8*m**3 - 12*m**4 - 3915 - 5*m**5 - 3*m**5 + 3915 = 0. What is m?
-2, 0, 1/2
Let s(f) be the third derivative of -f**6/200 + f**5/50 + 173*f**4/40 + 33*f**3 + 2*f**2 - 6*f - 2. Let s(t) = 0. What is t?
-11, -2, 15
Let c(o) be the third derivative of o**5/300 + 219*o**4/5 + 1151064*o**3/5 - o**2 - 34*o - 15. Find u, given that c(u) = 0.
-2628
Let c(q) be the third derivative of q**8/1008 - q**7/45 + 2*q**6/15 + 7*q**5/90 - 49*q**4/72 + 1214*q**2. Factor c(f).
f*(f - 7)**2*(f - 1)*(f + 1)/3
Let t = 105 + -95. Let o be 2 - 1 - (-30)/t. Suppose -3*m**o + 0*m**3 + 3/4*m**2 + 0*m + 0 = 0. Calculate m.
-1/2, 0, 1/2
Let q = -660 - -686. Find h such that -3*h**3 + 9*h**2 - 4*h**3 + h**3 + 10 + 4*h**2 + 9*h**2 - q*h = 0.
1, 5/3
Let y(x) = -6*x**2 - 2*x. Let w(p) = -2*p**2. Suppose -5*r + 22 = 32. Let a(t) = r*y(t) + 5*w(t). Factor a(z).
2*z*(z + 2)
Let s be (-3)/(-6) + (-193)/22. Let o = s - -449/33. Factor -4*w**2 + 8*w - o + 2/3*w**3.
2*(w - 2)**3/3
Let u(m) be the second derivative of -m**7/504 + 7*m**6/72 - m**4/3 + m**2/2 + 10*m + 6. Let k(f) be the third derivative of u(f). Factor k(g).
-5*g*(g - 14)
Let i(b) be the third derivative of -b**8/504 + 2*b**7/315 + b**6/12 - 3*b**2 - 256. Factor i(o).
-2*o**3*(o - 5)*(o + 3)/3
Factor -52101*i - 909*i**3 - 3228*i**2 - 60480 + 485*i + 2120*i**2 - 10088*i**2 + 3*i**4 + 6448*i.
3*(i - 315)*(i + 4)**3
Let r = 243 - 241. Let -10*y**5 + 154*y**3 - 260*y - 120 - 8*y**r - 49*y**3 + 5*y**4 + 18*y**2 = 0. Calculate y.
-2, -1/2, 2, 3
Suppose -17*o + 30 = -4. Suppose 0 = 5*t + a - 1057, 0 = 3*t - 4*a - 0*a - 648. Factor -o*g + 210 - 4*g - 2*g**3 - t - 6*g**2.
-2*(g + 1)**3
Let l(q) be the third derivative of q**7/1260 - 17*q**6/720 + 2*q**5/9 - 4*q**4/9 - q**2 - 1770*q. Find d, given that l(d) = 0.
0, 1, 8
Let s(c) be the second derivative of -5*c**4/6 - 5*c**3/2 - 10*c**2 - 9*c. Let o(k) = 25*k**2 + 30*k + 40. Let g(h) = 3*o(h) + 7*s(h). Factor g(q).
5*(q - 4)*(q + 1)
Let v(r) = -2*r**3 + r**2 + 1. Let z(k) = -1 + 2*k - 266*k**2 - 13 + 276*k**2 + 2*k. Let f(h) = -2*v(h)