ve of -r**4/66 + 4*r**3/11 + 4*r - 4. Factor x(h).
-2*h*(h - 12)/11
Let t(n) be the first derivative of -2/7*n**4 + 0*n**2 - 3 + 0*n - 2/7*n**3 - 2/35*n**5. Let t(q) = 0. Calculate q.
-3, -1, 0
Let d(n) be the third derivative of -n**6/720 - n**5/40 + 5*n**4/72 - 2*n**2 + 254*n. Factor d(y).
-y*(y - 1)*(y + 10)/6
Let l(b) be the first derivative of 5*b**4/12 + 5*b**3/2 + 5*b**2 + 5*b + 14. Let p(n) be the first derivative of l(n). Solve p(x) = 0 for x.
-2, -1
Let h = -97 + 92. Let l(q) = 4*q**3 + 30*q**2 + 102*q + 108. Let p(d) = -4*d**3 - 31*d**2 - 103*d - 108. Let y(f) = h*l(f) - 6*p(f). Solve y(o) = 0.
-3
Solve y**4 + 8/7*y - y**2 - 9/7*y**3 + 0 + 1/7*y**5 = 0.
-8, -1, 0, 1
Suppose -10 + 5*q**4 - 16*q**2 - 4 - 18 - 20*q + 20*q**3 + 31*q**2 + 12 = 0. Calculate q.
-2, -1, 1
Let f(d) = 7 + 4*d**3 + 10*d**2 + 14 - 14 - 7*d. Let a(h) = h**3 + 3*h**2 - 2*h + 2. Suppose -14 = q - 3*q. Let l(c) = q*a(c) - 2*f(c). Let l(u) = 0. What is u?
0, 1
Let a(f) be the first derivative of -1/16*f**4 - 3/4*f + 1/8*f**2 + 24 + 1/4*f**3. Factor a(t).
-(t - 3)*(t - 1)*(t + 1)/4
Let g(u) be the third derivative of -u**5/12 + u**4/6 + u**3/6 - 197*u**2. Suppose g(i) = 0. Calculate i.
-1/5, 1
Let c(l) = -33*l - 363. Let i be c(-11). Let j(t) be the third derivative of i*t + 2/15*t**5 + 0 + 1/6*t**4 + 6*t**2 - 2/3*t**3. Factor j(k).
4*(k + 1)*(2*k - 1)
Suppose 446 - 420 = 6*x + 7*x. Solve -14/3*k + 0 - 2/3*k**x = 0.
-7, 0
Let t(o) = 34*o**3 + 9*o**2 + 22*o - 11. Let y(f) = 3*f**3 + f**2 + 2*f - 1. Let r(m) = -4*t(m) + 44*y(m). Determine p, given that r(p) = 0.
0, 2
Let m be -20*(2 + (-52)/(-16)). Let y be (-24)/(-7) - 60/m. Find a such that 5*a**2 + 5*a**y - 5/4*a**5 - 5/4*a - 15/2*a**3 + 0 = 0.
0, 1
Let k(f) be the second derivative of -f**4/12 - f**3/3 + 9*f**2/2 - 12*f. Let b be k(-4). Solve -4*g**3 + 0 - b - 2 + 4*g + 7 - 4*g**2 = 0 for g.
-1, 1
Let m(w) be the second derivative of w**4/60 + 3*w**3/5 + 147*w. Factor m(q).
q*(q + 18)/5
Let f(l) be the second derivative of l**5/5 - 6*l**4 + 72*l**3 - 432*l**2 + 151*l. Factor f(k).
4*(k - 6)**3
Let u(h) be the third derivative of h**8/112 + 16*h**7/105 + 13*h**6/90 - 43*h**5/90 - 61*h**4/72 - 5*h**3/9 + 359*h**2. Let u(g) = 0. Calculate g.
-10, -1, -1/3, 1
Let n(b) be the first derivative of 1/4*b**4 + 2/7*b**2 - 11 - 1/21*b**6 - 3/35*b**5 + 0*b + 4/7*b**3. Determine p, given that n(p) = 0.
-2, -1, -1/2, 0, 2
Let c(n) be the second derivative of -n**7/21 + 7*n**6/15 - 11*n**5/10 + 5*n**4/6 - 6*n. Factor c(w).
-2*w**2*(w - 5)*(w - 1)**2
Find v such that 0 + 4/9*v**5 - 14*v**3 - 8*v**2 + 0*v + 38/9*v**4 = 0.
-12, -1/2, 0, 3
Let d(z) be the first derivative of z**5/30 - z**4/12 - z**3/6 - 73. What is r in d(r) = 0?
-1, 0, 3
Let d be (-9)/((-270)/4)*114. Let j = d - 15. Factor -1/5*s**4 + j*s**2 + 0*s + 0 + 1/5*s**3 - 1/5*s**5.
-s**2*(s - 1)*(s + 1)**2/5
Let s(l) be the second derivative of -l**6/375 - 2*l**5/125 - 2*l**4/75 + 2*l - 45. Solve s(a) = 0.
-2, 0
Suppose 0 = -4*q + 2*t + 8, 6*t = 5*q + 11*t + 5. Suppose f - q - 3 = 0. Factor 0*m - 4/7*m**2 + 10/7*m**3 + 0 - 6/7*m**f.
-2*m**2*(m - 1)*(3*m - 2)/7
Let h = -231 - -244. Let b be 0 + h + -3 - 6. Factor 2*r + 4/7*r**3 + 16/7*r**2 + 4/7 - 4/7*r**b - 2/7*r**5.
-2*(r - 2)*(r + 1)**4/7
Suppose -54/7*q - 243/7 - 3/7*q**2 = 0. Calculate q.
-9
Let m(z) be the first derivative of 2*z**5/65 + 38*z**4/13 + 100*z**3 + 17500*z**2/13 + 31250*z/13 + 577. Suppose m(k) = 0. Calculate k.
-25, -1
Let p be 14/(-21)*3/(-2). Let i be (-4)/((-48)/(-4)) + p. Factor -4/3*r**2 + i*r + 2/3.
-2*(r - 1)*(2*r + 1)/3
Let p(x) = x + 6. Let l be p(-4). What is i in 0*i**l - i**2 + 23 - 7 + 2*i**2 + 8*i = 0?
-4
Let r(s) be the third derivative of -s**6/40 + s**5/20 + 17*s**4/8 + 15*s**3/2 - 63*s**2. Factor r(m).
-3*(m - 5)*(m + 1)*(m + 3)
Let a(g) be the first derivative of 5*g**6/18 - 8*g**5/15 - 3*g**4/4 + 8*g**3/9 + 2*g**2/3 + 45. Determine o, given that a(o) = 0.
-1, -2/5, 0, 1, 2
Let n = 133 + -145. Let j be (-17)/(306/n) - 1/6. Factor j - 2*x + 1/2*x**4 - 2*x**3 + 3*x**2.
(x - 1)**4/2
Suppose 5*o - 16 = 3*o. Suppose 2*z = o*z - 18. Let -7*p**5 + 2*p - 4*p**2 + z*p**4 + p**4 + 2*p**5 + 3*p**5 = 0. Calculate p.
-1, 0, 1
Suppose w - 2*k - 1068 = k, -1073 = -w + 4*k. Determine r, given that -18*r - 3*r**2 + w*r**4 + 11*r**3 + 5*r**3 - 1056*r**4 - 4*r**3 = 0.
-1, 0, 2, 3
Suppose -46/3*q**3 + 10/3*q**5 + 70/3*q**2 - 4*q + 0 - 22/3*q**4 = 0. What is q?
-2, 0, 1/5, 1, 3
Let c(z) be the first derivative of -4/7*z - 4/21*z**3 + 1/21*z**6 + 8/35*z**5 + 21 + 2/7*z**4 - 5/7*z**2. Factor c(w).
2*(w - 1)*(w + 1)**3*(w + 2)/7
Factor -31*i**2 + i**2 + 104*i - 203*i - 215*i**3 + 102*i + 206*i**3 + 36.
-3*(i - 1)*(i + 3)*(3*i + 4)
Factor 289716 + 36854*c + 975909 + 3*c**3 + 13771*c + 675*c**2.
3*(c + 75)**3
Factor 348/7*a**2 - 18/7*a**4 - 1728/7 - 144/7*a + 45/7*a**3 - 3/7*a**5.
-3*(a - 3)**2*(a + 4)**3/7
Let i be 4*(-1)/(-14) - 663/(-1428). What is d in -2*d**2 - 15/8*d + 1/8*d**5 + i*d**4 + 9/4 + 3/4*d**3 = 0?
-3, -2, 1
Suppose -10*x - 10 = -5*x, 0 = -5*b + 3*x + 6. Let m(z) be the second derivative of 0*z**2 - 1/3*z**3 + 2*z + 1/6*z**4 + b. Factor m(w).
2*w*(w - 1)
Suppose -a + 5*q = 3, 4*a - q = -5*q - 108. Let y = a + 26. Find r such that 0*r**5 - 2*r**3 - 4*r**3 + 0*r**3 + y*r**5 - 3*r**4 = 0.
-1, 0, 2
Let l(p) = -12*p**3 - 8*p**2 + 4*p. Let h(b) = -b**3 - b**2 - b + 1. Let z = 29 - 30. Let q(t) = z*l(t) + 8*h(t). Determine d, given that q(d) = 0.
-2, 1
Let p be (3/4)/((-2)/(-8)). Suppose m - 36 = -p*m. Factor 3*v**5 - 3*v**2 + 0*v**2 + 0*v**3 - m*v**3 - 3*v**2.
3*v**2*(v - 2)*(v + 1)**2
Find j such that 0 - 12*j + 56*j + 56*j**2 - 48*j**3 - 4*j**4 + 4*j**5 + 6*j**4 - 10*j**4 - 48 = 0.
-3, -1, 1, 4
Let v(p) = p**2 - 4*p**4 + 1 - p + 0*p**2 + 2*p**4 + p**4 + p**3. Let m(d) = 20*d**4 - 65*d**3 - 135*d**2 - 95*d - 70. Let y(a) = m(a) + 25*v(a). Factor y(t).
-5*(t + 1)**2*(t + 3)**2
Factor -61/3*m - 20 - 1/3*m**2.
-(m + 1)*(m + 60)/3
Let w be 12/(-20)*(0/(-3) + -1). Let p = -231 + 234. Solve -3/5*l**p + 3/5*l**2 + w*l - 3/5 = 0.
-1, 1
Let h(j) = -13*j**2 + 37*j + 57. Let r(d) = d - 1. Let s(c) = h(c) - 5*r(c). Let o(m) = -4*m**2 + 11*m + 21. Let v(u) = -17*o(u) + 6*s(u). Factor v(w).
-5*(w + 1)*(2*w - 3)
Let h(m) be the first derivative of -m - 9*m**2 - 2*m - 1 + 3 + 24*m**4. Factor h(p).
3*(2*p - 1)*(4*p + 1)**2
Let j be 116/10 - (45 - (51 + -14)). Factor -21/5*h + j + 3/5*h**2.
3*(h - 6)*(h - 1)/5
Let o(d) = -d**4 - d**3 - 5*d**2 - 3*d + 6. Let j(s) = -1. Let f(t) = -6*t**2 - 3*t + 24. Let u(q) = -f(q) - 18*j(q). Let i(a) = 3*o(a) + 4*u(a). Factor i(m).
-3*(m - 1)**2*(m + 1)*(m + 2)
Let n(j) be the second derivative of 0 + 3/40*j**5 - 1/24*j**4 + 11*j - 1/4*j**3 + 1/4*j**2. Solve n(s) = 0 for s.
-1, 1/3, 1
Let u(w) = w**3 + 4*w**2 - 6*w + 17. Let a be u(-10). Let q = a + 2623/5. Suppose -2*p - 2/5*p**3 - 4/5 - q*p**2 = 0. What is p?
-2, -1
Let x(a) = 7*a**3 + 20*a**2 - 11*a - 16. Let s(g) = 57*g**3 + 159*g**2 - 90*g - 126. Let j(b) = 4*s(b) - 33*x(b). Factor j(z).
-3*(z - 1)*(z + 1)*(z + 8)
Let k = -473 - -480. Let d(p) be the second derivative of 3/5*p**5 - 7*p + 0 - 1/28*p**k - 4*p**3 + 24*p**2 - 2*p**4 + 1/10*p**6. Suppose d(h) = 0. Calculate h.
-2, 2
Let p(l) be the first derivative of -40 - 128/15*l**3 + 8/5*l + 26/5*l**2 + 17/5*l**4. Factor p(i).
4*(i - 1)**2*(17*i + 2)/5
Let h(z) = -2*z**4 - 100*z**3 - 12*z**2 + 12*z. Let q(l) = l**4 - l**3 + l**2 + l. Let v(j) = h(j) - 12*q(j). Factor v(k).
-2*k**2*(k + 6)*(7*k + 2)
Let g(f) be the first derivative of -f**6/135 - 11*f + 7. Let c(r) be the first derivative of g(r). Determine v, given that c(v) = 0.
0
Solve 0*x**2 + 4*x**3 + x**2 - 14*x**2 + 23*x - 3*x**3 - 11 = 0 for x.
1, 11
Let u(s) = -s + 1. Let r(n) = n**2 + 541*n + 72358. Let w(i) = 2*r(i) + 6*u(i). Determine t so that w(t) = 0.
-269
Let z(q) = -2*q**4 - 64*q**3 - 138*q**2 - 68*q. Let g(k) = 2*k**3. Let o(p) = 4*g(p) - z(p). Factor o(u).
2*u*(u + 1)**2*(u + 34)
Let u(h) be the third derivative of -1/132*h**4 + 0*h**3 + 1/165*h**5 + 0 + 0*h - 1/660*h**6 + 17*h**2. Factor u(g).
-2*g*(g - 1)**2/11
Let t(a) be the first derivative of -a**6/48 - 3*a**5/8 - 29*a**4/16 + 3*a**3/4 + 203*a**2/16 - 147*a/8 + 209. Determine g so that t(g) = 0.
-7, -3, 1
Let c(f) be the third derivative of -f**6/600 -