= 0. What is b?
0, 3
Let p(o) be the first derivative of 0*o + 1/14*o**4 + 15/7*o**2 + 65 - 16/21*o**3. Suppose p(u) = 0. What is u?
0, 3, 5
Let s(c) = c**3 + 4*c**2 + 2*c + 19. Let d be s(-4). Suppose 20 + 21*l**2 - 26*l**2 - d*l**2 - 5*l - 9*l**2 = 0. Calculate l.
-1, 4/5
Let a(u) be the second derivative of 0*u**2 - 4*u + 1/255*u**6 + 1 + 1/51*u**4 - 3/170*u**5 + 0*u**3. What is m in a(m) = 0?
0, 1, 2
Let c(y) be the third derivative of 16*y**3 + 50*y**2 + 5/18*y**5 - 1/180*y**6 + 0 + 0*y - 14/3*y**4. Factor c(m).
-2*(m - 12)**2*(m - 1)/3
Let l(d) = -d**3 - 67*d**2 - 85*d. Let k(z) = 58*z**2 + 86*z. Let c(r) = 3*k(r) + 2*l(r). Determine n, given that c(n) = 0.
-2, 0, 22
Let n(b) be the first derivative of 5/6*b**3 - 18 + 0*b**2 + 28*b - 1/4*b**5 + 0*b**4. Let z(s) be the first derivative of n(s). Factor z(a).
-5*a*(a - 1)*(a + 1)
Let u be 18*(70/(-15) - -6). Factor -23*j + 7*j - u*j**2 - 4*j**3 - 16*j.
-4*j*(j + 2)*(j + 4)
Let i(r) = 15*r**2 + 59*r + 44. Let n be i(-3). Find h, given that -2/3*h**3 + 2*h**n + 8 + 32/3*h = 0.
-2, -1, 6
Factor 719*n**2 + 9*n - n**3 + 704*n**2 - 1423*n**2.
-n*(n - 3)*(n + 3)
Let h = 15215 - 15211. Let w(t) be the second derivative of 0*t**2 + 0 + 1/24*t**h - 1/6*t**3 + 31*t. Factor w(u).
u*(u - 2)/2
Let h = 1268817 - 1268815. Factor 88/9*d**h + 32/3 - 4/9*d**3 + 188/9*d.
-4*(d - 24)*(d + 1)**2/9
Let z(j) be the third derivative of 0 + 7/540*j**6 - 2*j**3 - 1/4*j**4 - 78*j**2 + 1/30*j**5 + 1/945*j**7 + 0*j. Find g such that z(g) = 0.
-3, 2
Let n(q) = -9*q**2 - 545*q + 454. Let d(h) = 26*h**2 + 1634*h - 1380. Let o(w) = -5*d(w) - 14*n(w). Factor o(u).
-4*(u - 1)*(u + 136)
Let r(c) be the first derivative of -c**6/720 - c**5/240 - 22*c**3/3 - 2*c - 16. Let q(u) be the third derivative of r(u). Factor q(y).
-y*(y + 1)/2
Let n(w) be the second derivative of -w**5/70 - 667*w**4/42 - 1856*w. Factor n(z).
-2*z**2*(z + 667)/7
Let j(c) be the first derivative of 10*c - 45/2*c**2 - 131 - 15/4*c**4 + 50/3*c**3. Factor j(z).
-5*(z - 2)*(z - 1)*(3*z - 1)
Let n = 779 + -773. Suppose -2*p = -n*q + 8*q - 8, 3*p = q - 20. Suppose 24/7 - 4/7*r**3 + 2*r**4 - 14*r**2 - q*r = 0. Calculate r.
-2, -1, 2/7, 3
Solve 0 - 14/11*f**2 - 2/11*f**3 - 20/11*f = 0.
-5, -2, 0
Determine v so that 2/3*v**3 + 100/3*v**2 + 14000/3 - 2600/3*v = 0.
-70, 10
Let r be 2/(-6) - (-14)/6. Let c = -3389951 - -30509575/9. Suppose c + 2/9*a**r - 4/3*a = 0. What is a?
2, 4
Let n(j) be the second derivative of -3*j**5/20 + 1641*j**4/2 - 1795254*j**3 + 1964007876*j**2 - 1512*j. Factor n(x).
-3*(x - 1094)**3
Let o(c) be the second derivative of c**6/150 - 7*c**5/25 + 11*c**4/30 + 22*c**3/5 + 81*c**2/10 - 1710*c. Solve o(r) = 0.
-1, 3, 27
Let l(q) be the first derivative of 2*q**5/25 - 6*q**4/5 + 14*q**3/3 + 12*q**2/5 - 72*q/5 - 1957. Suppose l(p) = 0. What is p?
-1, 1, 6
Let o(c) be the second derivative of -3*c - 1/55*c**5 - 12 - 1/165*c**6 + 12/11*c**2 + 19/66*c**4 - 28/33*c**3. Find q such that o(q) = 0.
-6, 1, 2
Let t(b) = -9*b**2 - 327*b + 25916. Let n(m) = 2*m**2 + m + 1. Let k(u) = -5*n(u) - t(u). Solve k(h) = 0 for h.
161
Factor -357073/6*n**2 - 89614/3*n - 4/3*n**5 - 117643/3*n**3 - 29929/6 + 1378/3*n**4.
-(n - 173)**2*(2*n + 1)**3/6
Let f(g) be the third derivative of 173*g**2 + 1/70*g**7 + 0*g**3 + 0*g + 2/5*g**5 + 2*g**4 + 0 - 7/40*g**6. Find b, given that f(b) = 0.
-1, 0, 4
Factor -14*j + 8*j - 12*j - 20*j**4 + j + 20*j**2 + 15*j**3 - 3*j + 5*j**5.
5*j*(j - 2)**2*(j - 1)*(j + 1)
Let r(p) = p + 28. Let y be r(-23). Suppose -y*l + 533 = 3*f, -241 = -4*f - 3*l + 477. Determine n, given that -175*n + f*n - 2*n**2 + 4*n**2 = 0.
-3, 0
Let k = -280/33 - -130/11. Suppose 20/3*p**4 - 5/3*p**5 + 0 - k*p**3 - 20/3*p**2 + 5*p = 0. What is p?
-1, 0, 1, 3
Let i(n) be the third derivative of -n**8/336 + n**7/21 - 11*n**6/40 + 2*n**5/3 - 2*n**4/3 + 14*n**2 - 40*n. Factor i(q).
-q*(q - 4)**2*(q - 1)**2
Let y be 1 - 1 - 0/10. Suppose 22*c - 28*c + 222 = y. Determine f so that -f**2 + 14*f - c*f + 13*f = 0.
-10, 0
Let r be (-4)/(-2*(7/(-28) - (-407)/(-132))/(-5)). Let -4/3*m**2 + 28/9 + 2/9*m**r - 2*m = 0. Calculate m.
-2, 1, 7
Let g(k) be the second derivative of 0 + 4/3*k**2 + 19/27*k**3 + 2/27*k**4 + 14*k. Determine n, given that g(n) = 0.
-4, -3/4
Let w(b) be the first derivative of 10*b**4/21 + 2*b**3 + 4*b**2/7 + 134*b - 94. Let i(u) be the first derivative of w(u). Factor i(t).
4*(t + 2)*(10*t + 1)/7
Let p = 530 - 534. Let g be p/(-2) - 21/14. Determine f, given that -1/2*f**5 - 4*f - g*f**2 + 5/2*f**3 - 2 + 1/2*f**4 = 0.
-1, 2
Let s(t) be the first derivative of 13*t**4/12 - 596*t**3/9 + 493*t**2/6 + 30*t + 14844. Factor s(w).
(w - 45)*(w - 1)*(13*w + 2)/3
Let p = -810494 - -4052486/5. Let 16/5*n**2 + 1/5*n - 1/5*n**3 - p = 0. What is n?
-1, 1, 16
Let j be (31 + -36 - (-13)/13)/(-5). Solve 0*y - 2/5*y**2 + j*y**3 - 2/5*y**4 + 0 = 0.
0, 1
Suppose 143*v - 146*v + 1134 = 0. Let y be (-18)/(-10) - 1 - v/585. Find a, given that -y*a**3 - 6/13 - 10/13*a**2 - 14/13*a = 0.
-3, -1
Let z(i) be the third derivative of -i**5/570 + 23*i**4/57 - 91*i**3/57 - 7228*i**2. Factor z(v).
-2*(v - 91)*(v - 1)/19
Let r(y) be the third derivative of 1/8*y**6 + 125/24*y**4 + 65/6*y**3 - 114*y**2 - 41/12*y**5 + 0*y + 0. Factor r(a).
5*(a - 13)*(a - 1)*(3*a + 1)
Let f(o) be the third derivative of -o**7/105 - 5*o**6/12 - 61*o**5/10 - 275*o**4/12 + 484*o**3/3 - 1394*o**2. Factor f(c).
-2*(c - 1)*(c + 4)*(c + 11)**2
Let r = -1068 - -1073. Let h(z) = 7*z**2 + 2*z - 1. Let d be h(1). Determine g so that -20*g + r + 3 + 0*g**2 + d*g + 4*g**2 = 0.
1, 2
Let o(x) be the first derivative of 9*x**4/4 - 4*x**3/3 - 25*x**2/2 - 12*x - 29. Let z(i) = -i**3 + i. Let g(d) = o(d) + 5*z(d). Factor g(v).
4*(v - 3)*(v + 1)**2
Let d(z) be the second derivative of -z**4/6 - 205*z**3/3 + 414*z**2 - 3777*z. Suppose d(b) = 0. Calculate b.
-207, 2
Let t(w) be the second derivative of 1/378*w**7 + 0*w**3 + 1/9*w**4 + 1/45*w**5 - 7/270*w**6 + 0*w**2 - 43 - 2*w. Factor t(i).
i**2*(i - 6)*(i - 2)*(i + 1)/9
Let p(z) = -z**2 + 14*z + 35. Let k be p(16). Factor 2*c**k - 93*c**4 + 83*c**4 + 0*c**3 + 10*c**2 + 5*c**5 - 7*c**3.
5*c**2*(c - 2)*(c - 1)*(c + 1)
Let d(j) be the first derivative of 4/21*j**3 + 80/7*j - 6*j**2 - 64. Factor d(w).
4*(w - 20)*(w - 1)/7
Let o(j) = -2*j**3 - 227*j**2 - 2645*j - 33. Let r(q) = 3*q**3 + 453*q**2 + 5290*q + 77. Let l(g) = -7*o(g) - 3*r(g). Factor l(t).
5*t*(t + 23)**2
Let y be 0*((-12)/8 + 1). Let s be (y + 52/3)*(5 + -2). Solve 79*w**2 + 6*w + 5*w**4 - 27*w**2 + 6*w + 7*w**4 + s*w**3 = 0.
-3, -1, -1/3, 0
Suppose 3*l + 3 = -3. Let j(w) = -1. Let x = 32 + 12. Let h(p) = -2*p**2 + 6*p - 26. Let v(q) = l*h(q) + x*j(q). Let v(o) = 0. What is o?
1, 2
Let o(p) be the third derivative of -p**6/240 + 31*p**5/120 - 43*p**4/24 + 14*p**3/3 - 3*p**2 + 2*p + 24. Factor o(i).
-(i - 28)*(i - 2)*(i - 1)/2
Let z be (23432/32)/(-2*(-15)/(-40)). Let a = 977 + z. Suppose -8/3*s - 4*s**2 + a*s**4 + 8/3*s**3 + 10/3 = 0. What is s?
-5, -1, 1
Let p(v) be the third derivative of 0*v + 72 + 1021/15*v**5 + v**2 - 279/2*v**4 - 21/10*v**6 + 2/105*v**7 - 3844/3*v**3. Suppose p(f) = 0. What is f?
-1, 2, 31
Let j(r) be the third derivative of -r**8/168 + r**7/21 + 11*r**6/20 + 9*r**5/10 + 389*r**2. Determine l so that j(l) = 0.
-3, -1, 0, 9
Let l(z) be the first derivative of -10*z + 1/14*z**4 - 22/7*z**3 - 69/7*z**2 + 168. Solve l(u) = 0.
-1, 35
Suppose -15*c + 19*c = 13*c - 36. Let 9/8*k**5 + 0 + 63/4*k**3 + 3*k - 27/2*k**2 - 57/8*k**c = 0. What is k?
0, 1/3, 2
Let y(d) = 13*d**3 - 1266*d**2 + 686*d + 25. Let v(i) = -2*i**3 + 211*i**2 - 114*i - 4. Let h(q) = 75*v(q) + 12*y(q). What is c in h(c) = 0?
-106, 0, 1/2
Let f(x) be the second derivative of 0*x**4 - 1/16*x**5 - 2*x + 10 + 0*x**2 + 1/120*x**6 + 0*x**3. Determine w so that f(w) = 0.
0, 5
Let q(x) be the third derivative of -1/105*x**7 + x - 1/30*x**6 + 0 + 1/3*x**4 + 1/10*x**5 - 4/3*x**3 + 38*x**2. Solve q(m) = 0.
-2, 1
Let o be (-26)/(-65) - 956/(-10). Suppose w - 3*b = 88, w - 7*b + 2*b - o = 0. What is a in 4*a**3 - 45*a + 100 + 31*a - 6*a**3 - w*a + 24*a**2 = 0?
2, 5
Let h(w) be the first derivative of w**4/26 + 4*w**3/3 + 109*w**2/13 + 168*w/13 - 727. What is a in h(a) = 0?
-21, -4, -1
Suppose 86*v - 298 = 100 - 140. Factor -14/11 + 14/11*l**2 - 2/11