8)/((-290)/(-696))*6/52. Solve -2/13*l**2 + 0 + c*l = 0.
0, 1
Let t be 3 + (-28)/(-8)*36/(-42). Let a(r) be the second derivative of -1/4*r**4 + t + 11*r + 0*r**2 + 1/2*r**3. Find d, given that a(d) = 0.
0, 1
Let a(l) be the third derivative of -l**5/3 - l**4/8 + l**3/3 - 2*l**2 - 8. Factor a(r).
-(4*r - 1)*(5*r + 2)
What is j in -2/7*j**4 + 32/7*j - 72/7*j**2 + 22/7*j**3 + 128/7 = 0?
-1, 4
Let f(g) be the first derivative of g**7/168 - g**6/36 - g**5/24 + 5*g**4/12 - 5*g**3/3 + 14. Let u(t) be the third derivative of f(t). What is q in u(q) = 0?
-1, 1, 2
Let a = 72 + -69. Let o(j) be the second derivative of 0*j**2 - 1/50*j**5 + 0*j**a - 3*j + 1/15*j**4 + 0 - 1/75*j**6. Find n, given that o(n) = 0.
-2, 0, 1
Suppose -6*j + 46 = -248. Suppose 4*y - 2*y = -k + 7, 5*k = 4*y - j. Solve 0*p + y*p**3 + 0 - 4/3*p**2 = 0 for p.
0, 2/9
Suppose -p - 14 = 4*v, 5*v = -0*p - 2*p - 16. Let l(m) be the first derivative of 1/4*m**4 - 5 + 0*m - m**p + 1/3*m**3. Solve l(c) = 0.
-2, 0, 1
Let o be 9/189*35 + (3 - 4). Let -1/3*s**2 - s - o = 0. Calculate s.
-2, -1
Let q be (-454)/(-420) - 2/12. Let u(z) be the first derivative of -q*z**5 - 2/21*z**3 - 2/7*z + 2 + 6/7*z**2 - 12/7*z**4. Find p, given that u(p) = 0.
-1, 1/4
Let j(y) = y**2 + 20*y + 21. Let b be j(-19). Suppose b*g + 5*u = 11, 4*g - 17 = -g - 2*u. Solve 2 + 4 - 3*o**2 + g*o + 0 = 0.
-1, 2
Suppose -28 = 1189*j - 1203*j. Let 2/5 - 3/5*q + 1/5*q**j = 0. What is q?
1, 2
Suppose 32 + 30 = 3*d + 4*m, 0 = m + 1. Factor d*z**4 + 10*z**3 + 6*z**2 - z**2 - 17*z**4.
5*z**2*(z + 1)**2
Suppose 5*f = -4*s + 313, -318 - 22 = -5*f + 5*s. Let h be 10/12*26/f. Factor y**2 - h*y - 2/3.
(y - 1)*(3*y + 2)/3
Let f(t) = -21*t**3 + 121*t**2 + 182*t + 41. Let m(l) = -4*l - 16*l**2 - 1 - 3*l + 17*l**2 + 6*l. Let n(d) = -f(d) + m(d). Factor n(x).
3*(x - 7)*(x + 1)*(7*x + 2)
Let s be ((-220)/935)/(10/(-85)). Let -1/8*d**s - 1/2 - 1/2*d = 0. What is d?
-2
Let n(r) be the third derivative of r**6/30 + 4*r**5 + 200*r**4 + 16000*r**3/3 + 29*r**2. Factor n(w).
4*(w + 20)**3
Factor 5/4*u**2 - 31/2*u + 6.
(u - 12)*(5*u - 2)/4
Let h(o) be the first derivative of 4*o**6/105 + 2*o**5/35 + o**4/42 - 38*o + 13. Let t(c) be the first derivative of h(c). Solve t(m) = 0.
-1/2, 0
Let u(s) be the third derivative of 19*s**2 + 7/8*s**4 - 1/40*s**5 + 0 + 0*s - 49/4*s**3. Factor u(r).
-3*(r - 7)**2/2
Let c(w) = 8*w**2 - 10*w + 14. Let x(f) = -17*f**2 + 19*f - 28. Let s(n) = -13*c(n) - 6*x(n). Factor s(y).
-2*(y - 7)*(y - 1)
Solve 115*u**3 + 117*u**3 - 430*u**2 - 267*u**3 - 500 + 965*u = 0.
-100/7, 1
Factor 0*d - 1/8*d**2 + 1/2.
-(d - 2)*(d + 2)/8
Suppose 0 = -0*f + 2*f + 22. Let h = 15 + f. Factor 7*z**2 - 9*z**h - 6*z**2 + 3*z**3 + 8*z**2 - 3*z.
-3*z*(z - 1)*(z + 1)*(3*z - 1)
Let x(z) be the first derivative of z**4/12 + 5*z**3/9 - 13*z**2/6 + 7*z/3 - 40. Factor x(i).
(i - 1)**2*(i + 7)/3
Solve -169/2 - 1/2*z**2 - 13*z = 0.
-13
Let y(a) = -a**2 + 23*a + 24. Let h be y(19). Let i = h - 99. Factor -i + 2*b**2 + 7/2*b.
(b + 2)*(4*b - 1)/2
Suppose 0*b + 1708 = 4*b. Let s = b - 5547/13. Factor 2/13*t**3 - 2/13*t - 4/13 + s*t**2.
2*(t - 1)*(t + 1)*(t + 2)/13
Suppose 3*q = -5*k + 36, 6*q - 2*q + 3*k - 48 = 0. Let j be ((-14)/q)/(-1) + (-6)/9. Factor 3*f**2 + 1/2*f**4 + j + 2*f**3 + 2*f.
(f + 1)**4/2
Suppose 2*b - 59 = -47. Let a be (-6)/b + 10/4. Find i, given that i - 1/2*i**2 + a = 0.
-1, 3
Let c = 9817/3 + -3272. Factor c*q**3 + 7*q + 6 + 8/3*q**2.
(q + 2)*(q + 3)**2/3
Let w be (186/(-36) + 6)*(-33)/(-55). Solve -9/2*k**2 + 3*k - w = 0.
1/3
Let q(m) = 9*m**4 - 3*m**3 + 9*m**2 + 3*m - 6. Let a(k) = 8*k**4 - 2*k**3 + 7*k**2 + 2*k - 5. Let t(p) = 6*a(p) - 5*q(p). Solve t(v) = 0 for v.
-1, 0, 1
Let m(h) = 3*h + 101. Let j be m(-32). Let a(u) be the second derivative of -1/85*u**j + 1/255*u**6 + 0 + u + 1/102*u**4 + 0*u**2 + 0*u**3. Factor a(n).
2*n**2*(n - 1)**2/17
Suppose 2*p - 2*y = -14, -5*p = 64*y - 67*y + 17. Determine l so that 8/9 - 2/9*l**p + 0*l = 0.
-2, 2
Let i be (-3 - -7)/(10/15). Let m be (4/i)/(4/24). What is d in 0*d**4 - 4*d**5 + 0*d**2 - 2*d**2 - 2*d**3 + 6*d**5 + 2*d**m = 0?
-1, 0, 1
Let u(r) be the second derivative of -r**8/840 + 2*r**7/525 + r**6/300 - r**5/75 + 11*r**2 + 10*r. Let i(b) be the first derivative of u(b). Solve i(q) = 0.
-1, 0, 1, 2
Let i(h) = -3*h**3 - 3*h**2 - 3*h + 3. Let k(p) = p**4 + 4*p**3 + 3*p**2 + 4*p - 4. Suppose 9*l - 36 = -0*l. Let r(t) = l*i(t) + 3*k(t). Factor r(w).
3*w**2*(w - 1)*(w + 1)
Let t(k) be the second derivative of -k**5/4 - 40*k**4/3 - 475*k**3/2 - 1125*k**2 + 165*k. Find r, given that t(r) = 0.
-15, -2
Suppose -13*k + 154 + 54 = 0. Factor -k*d + 17*d**2 - 34*d**2 + 15*d**2 - 32.
-2*(d + 4)**2
Let n(k) = 4*k**4 + 152*k**3 + 384*k**2 - 1528*k + 8. Let r(t) = -t**4 - 50*t**3 - 128*t**2 + 509*t - 3. Let i(p) = 3*n(p) + 8*r(p). Factor i(j).
4*j*(j - 2)*(j + 8)**2
Let n(d) = d**2 + 2*d - 8. Let p be n(-4). Suppose 5*w + 2*o + 10 = 6*o, p = w - 3*o + 13. Determine f, given that 2/7*f**w + 2/7 - 4/7*f = 0.
1
Find i such that 72 + 31*i**2 - 19*i**2 + 18*i**2 + 37*i + 3*i**3 + 47*i = 0.
-6, -2
Determine w, given that 55*w**2 + 85*w - 81*w**2 + 5*w**3 - 49*w**2 - 65 + 50*w = 0.
1, 13
Let s(x) be the first derivative of -1/2*x**4 - 8*x - 10/3*x**3 - 24 - 8*x**2. Determine u, given that s(u) = 0.
-2, -1
Let p(x) be the first derivative of 2*x**3/39 - 25*x**2/13 + 92*x/13 + 104. Find i, given that p(i) = 0.
2, 23
Let b be (14 + 11518/(-819))*-7. Factor 2/9*y**2 + 2/9*y**3 - b*y + 0.
2*y*(y - 1)*(y + 2)/9
Let b(m) be the third derivative of m**6/1080 - m**5/90 + m**4/18 + 14*m**3/3 - 21*m**2. Let l(r) be the first derivative of b(r). Suppose l(c) = 0. What is c?
2
Let i be (0 - 1)/(1 - 3). Let m = 3914 - 3912. Factor 1/2*w**m + 0*w - i.
(w - 1)*(w + 1)/2
Let f(b) be the first derivative of -2*b**6/3 - 12*b**5/5 + b**4 + 28*b**3/3 - 16*b + 99. Find p such that f(p) = 0.
-2, -1, 1
Suppose -3*f + f - 2*v + 4 = 0, 0 = 5*f + 4*v - 9. Let q be (-3)/f*27/(-18). Factor -3/2*i**3 + q*i**2 - 9/2*i + 3/2.
-3*(i - 1)**3/2
Let c(g) = 16*g**4 + 24*g**2 - 22*g + 18. Let h(d) = d**4 - 1 - 7 + d**2 + 9 - d. Let l(j) = 2*c(j) - 36*h(j). Factor l(x).
-4*x*(x - 1)**2*(x + 2)
Let q(p) be the first derivative of p**6/36 - p**5/5 + p**4/2 - 5*p**3/9 + p**2/4 - 157. Find v such that q(v) = 0.
0, 1, 3
Suppose -3*p = -8*u + 5*u - 18, 5*p - 3*u = 30. Factor -24*v**3 - 8*v - v + 27*v**3 - p.
3*(v - 2)*(v + 1)**2
Suppose -5*o - 10 = 5*x, x + x + 5*o + 16 = 0. Determine j, given that j**x - 4 + 19*j - 19*j = 0.
-2, 2
Let s be (-1)/(2 + -3)*3. Suppose 4 = -s*u + 5*u. Factor o**2 + 2*o - o**2 - 6*o**2 + 6*o**3 - 2*o**u.
2*o*(o - 1)*(3*o - 1)
Let c(m) be the third derivative of m**6/180 + 11*m**5/45 - 47*m**4/36 + 8*m**3/3 - m**2 + 53*m. Solve c(u) = 0 for u.
-24, 1
Let n(s) be the second derivative of 0*s**4 + 5/2*s**2 + 1/60*s**5 - 2/3*s**3 - 10*s + 0. Let a(w) be the first derivative of n(w). Suppose a(y) = 0. What is y?
-2, 2
Let l(d) be the second derivative of -5/357*d**7 + 13/170*d**5 - 7/255*d**6 - 9*d + 11/102*d**4 - 4/17*d**2 + 0 - 8/51*d**3. Let l(c) = 0. Calculate c.
-2, -1, -2/5, 1
Let f(m) be the second derivative of -5*m**4/36 - 25*m**3/18 - 160*m. What is w in f(w) = 0?
-5, 0
Solve 22/3 + 7*q - 1/3*q**2 = 0.
-1, 22
What is a in 0*a**2 + 10/17*a**3 + 0 + 0*a**4 - 8/17*a - 2/17*a**5 = 0?
-2, -1, 0, 1, 2
Let u(j) = -15*j**2 - 48*j. Let x(m) be the first derivative of -m**3/3 - 3*m**2/2 - 4. Let h(l) = -2*u(l) + 33*x(l). Solve h(c) = 0 for c.
-1, 0
Let r(p) be the second derivative of -p**8/560 + p**6/30 - 5*p**3/6 - p**2/2 - 5*p. Let t(y) be the second derivative of r(y). Find x such that t(x) = 0.
-2, 0, 2
Let l(q) be the first derivative of -16 + 0*q + 2/27*q**3 + 0*q**2 - 1/9*q**4 + 2/45*q**5. Factor l(c).
2*c**2*(c - 1)**2/9
Let r be 172/(-70) + (-10872)/(-3020). Suppose 2/7 + 2/7*w**4 + 8/7*w + r*w**3 + 12/7*w**2 = 0. Calculate w.
-1
Let v(x) be the third derivative of 2*x**7/105 - x**6/30 + 135*x**2. Factor v(a).
4*a**3*(a - 1)
Let v = 15791/9471 + -2/3157. Suppose -w**2 + 3*w - v - 1/3*w**3 = 0. What is w?
-5, 1
Let s = -508 + 13217/26. Let o = s + -29/234. Determine t, given that -2/9*t**4 + 2/9*t - o*t**3 + 0 + 2/9*t**2 = 0.
-1, 0, 1
Let z(w) be the first derivative of -w**6/2 - 9*w**5/5 + 15*w**4/2 + 52*w**3 + 108*