3 = 0 for v.
-1, 0
Factor 9*x**2 + 288*x + 2*x + 3004 + 1201 - 4*x**2.
5*(x + 29)**2
Suppose 0*t + 4*t + d = 64, 4*d - 31 = -t. Suppose -t*l + 8*l + 14 = 0. Factor -54/5 + 2/5*u**3 + 54/5*u - 18/5*u**l.
2*(u - 3)**3/5
Let d = 8 - 2. Let n = 222 + -433/2. Factor -2*k**2 - 1/4*k - 9/4*k**5 + 0 - n*k**3 - d*k**4.
-k*(k + 1)**2*(3*k + 1)**2/4
Suppose -34 = -2*o - 220. Let n be (-33)/(-44) + o/(-4). Suppose -3/2*y**4 + 12*y**2 - n + 6*y**3 - 12*y - 3/4*y**5 = 0. Calculate y.
-2, 2
Let j be (-43)/((-129)/(-18)) + 15/2 + -1. Factor -b**2 + 1/2 - j*b**5 + b**3 - 1/2*b + 1/2*b**4.
-(b - 1)**3*(b + 1)**2/2
Suppose n = -4*n + 235. Suppose 5*f = -3*k + n, k - 5*f = 44 - 15. Factor -27*q**3 + 6*q**2 + 36*q**4 - 34*q**5 + k*q**5 + 0*q**2.
-3*q**2*(q - 1)**2*(5*q - 2)
Let s be (2 - 9/6)*1/(-17). Let p = s - -143/238. Find k such that 2/7*k**2 + 2/7 - p*k = 0.
1
Let y(b) be the third derivative of -7*b**6/480 + b**5/120 + 7*b**4/6 - 4*b**3/3 + 162*b**2. Solve y(r) = 0 for r.
-4, 2/7, 4
Let k be 3 - (-39)/(-15)*(-2)/(-2). Let o(n) be the second derivative of 1/3*n**3 + 0*n**2 - k*n**5 - n + 1/2*n**4 + 0. What is r in o(r) = 0?
-1/4, 0, 1
Suppose 11*b = -2*b + 26. What is k in -b*k**4 + 543*k**2 + 6*k**4 + 3*k**3 - 547*k**2 - 4*k + k**5 = 0?
-2, -1, 0, 1
Let a(z) = -200*z**3 + 615*z**2 - 835*z. Let d(n) = 9*n**3 - 28*n**2 + 38*n. Let k(o) = 2*a(o) + 45*d(o). Find u such that k(u) = 0.
0, 2, 4
Let i = 14166 + -14166. Suppose -1/3*y**3 + 2/3*y**4 - 1/3*y**5 + 0*y + 0 + i*y**2 = 0. What is y?
0, 1
Let d = 39 - 36. Let j = -6 + 9. Factor 3*t**d - 5*t**j + 2 + 0*t**3 - 6*t + 6*t**2.
-2*(t - 1)**3
Factor -66*m**2 + 85 - 2*m + 226*m**3 - 19 - 224*m**3.
2*(m - 33)*(m - 1)*(m + 1)
Let v be 10/14 + 3195/2485. Let 0*k + 0 + 12/7*k**v + 2/7*k**4 - 2*k**3 = 0. What is k?
0, 1, 6
Let w(r) = -9*r - 4. Let p be w(-3). Let u = p - 15. Factor u*i**4 - i**4 + 2*i**5 - i**5 - 2*i**3 - 6*i**5.
-i**3*(i - 1)*(5*i - 2)
Let r(t) be the first derivative of 23 - 2*t**3 + 24*t**2 - 128*t + 1/16*t**4. Factor r(n).
(n - 8)**3/4
Factor -38/5*y - 2/5*y**3 + 22/5*y**2 + 18/5.
-2*(y - 9)*(y - 1)**2/5
Let x(k) = 4*k**4 - 24*k**2 + 48*k + 2. Let j(f) = 9*f**4 + f**3 - 46*f**2 + 96*f + 5. Let s(r) = -2*j(r) + 5*x(r). Factor s(i).
2*i*(i - 3)*(i - 2)*(i + 4)
Let v(h) be the second derivative of h**5/170 + 7*h**4/102 + 5*h**3/17 + 9*h**2/17 + h + 55. Factor v(l).
2*(l + 1)*(l + 3)**2/17
Let p(h) be the second derivative of h**4/48 - 5*h**3/12 + 3*h**2 - 126*h. Solve p(u) = 0.
4, 6
Let a(g) be the second derivative of 5*g**4/36 - 230*g**3/9 + 5290*g**2/3 + 29*g. Solve a(t) = 0.
46
Determine t so that -28/3*t**3 + 26/3*t**2 - 14/3*t**4 + 8/3 + 40/3*t + 8/3*t**5 = 0.
-1, -1/4, 2
Let m(p) be the third derivative of -p**6/96 + 7*p**5/40 - 91*p**4/96 + 5*p**3/4 + 493*p**2. Find k such that m(k) = 0.
2/5, 3, 5
Determine d so that -25/2 + 5*d - 1/2*d**2 = 0.
5
Let u be (0/(-12 + 6))/(-1). Let l(s) be the third derivative of s**2 + 1/6*s**3 + 0*s + u - 1/480*s**6 + 1/48*s**5 - 1/12*s**4. Factor l(g).
-(g - 2)**2*(g - 1)/4
Let j(h) be the first derivative of 0*h + 2/51*h**3 + 1/17*h**2 + 15. Factor j(q).
2*q*(q + 1)/17
Factor 39/2*c**3 + 6*c + 1/2*c**5 + 37/2*c**2 + 15/2*c**4 + 0.
c*(c + 1)**3*(c + 12)/2
Let z(t) be the first derivative of t**6/66 - t**5/55 - 3*t**4/44 + 5*t**3/33 - t**2/11 - 555. Suppose z(x) = 0. What is x?
-2, 0, 1
Let y(v) be the third derivative of v**8/4 - 396*v**7/35 - 581*v**6/40 + 27*v**5/20 + 29*v**4/4 + 70*v**2. Solve y(h) = 0 for h.
-1/2, 0, 2/7, 29
Let n(q) = 2*q**5 - 6*q**4 - 8*q**3 + 6*q**2 + 6*q - 2. Let x(k) = 10*k**5 - 31*k**4 - 40*k**3 + 31*k**2 + 30*k - 11. Let h(o) = 11*n(o) - 2*x(o). Factor h(p).
2*p*(p - 3)*(p - 1)*(p + 1)**2
Let i(r) be the second derivative of -1/10*r**5 + 1/6*r**4 + 0*r**3 + 0 + 10*r + 0*r**2. Factor i(o).
-2*o**2*(o - 1)
Let z(h) = h**2 + 5*h - 5. Let l(p) = p**2 - p - 1. Let c(k) = -2*l(k) - 2*z(k). Find d such that c(d) = 0.
-3, 1
Solve -20*n + 63*n**2 - 128*n**2 + 70*n**2 + 20 = 0.
2
Let b = 8/45 + 2/9. Let r = 5793 + -28959/5. Determine g, given that r*g + b + 2/5*g**3 + 6/5*g**2 = 0.
-1
Let h = -16651 + 16654. Suppose 2/5*k**h + 8/5*k**2 + 4/5 + 2*k = 0. What is k?
-2, -1
Let x(y) be the second derivative of -13/2*y**2 + 1/270*y**5 + 0 + y + 0*y**3 - 1/108*y**4. Let h(i) be the first derivative of x(i). Factor h(t).
2*t*(t - 1)/9
Let m(l) be the third derivative of -l**6/90 - l**5/30 + l**4/3 + l**3/3 + 4*l**2. Let g(n) be the first derivative of m(n). What is c in g(c) = 0?
-2, 1
Let z be (1 + -11)*48/(-40). Suppose 5 = -4*y - 3*f - 7, -z = -3*y + 3*f. Factor j + j + y*j - 4*j**2 + 2*j**3.
2*j*(j - 1)**2
Let q(a) be the first derivative of -a**6/3 + 14*a**5/15 + 41*a**4/18 - 146*a**3/27 + 8*a**2/9 + 8*a/3 - 41. Suppose q(f) = 0. Calculate f.
-2, -1/3, 2/3, 1, 3
Let t(d) be the first derivative of -3*d**5/20 + d**4/8 + d**3 - 5*d**2 - 24. Let m(n) be the second derivative of t(n). Factor m(o).
-3*(o - 1)*(3*o + 2)
Let r(q) be the third derivative of -q**5/60 + q**4/8 + 9*q**3 - 23*q**2 + 4. Factor r(i).
-(i - 9)*(i + 6)
Factor 56/5 - 1/5*a**2 - 1/5*a.
-(a - 7)*(a + 8)/5
Let y(l) be the second derivative of -135*l**4/4 + 5*l**3/3 + 49*l - 6. Suppose y(f) = 0. Calculate f.
0, 2/81
Let u = -5/2 - -1. Let l = 11/6 + u. Factor -1/2*b + l - 1/2*b**2 + 7/6*b**3 - 1/2*b**4.
-(b - 1)**3*(3*b + 2)/6
Let d(p) = p**3 + 7*p**2 + 4*p + 28. Let g be d(-7). Let b be (4/5)/((-114)/(-15)). Find u, given that 0 - b*u**3 + 4/19*u**2 + g*u = 0.
0, 2
Let x = 731 + -727. Let t(r) be the first derivative of -1/8*r**2 - 7 + 1/16*r**x - 1/4*r**3 + 1/2*r + 1/20*r**5. Factor t(d).
(d - 1)**2*(d + 1)*(d + 2)/4
Let u(q) be the first derivative of 9 + 3*q**2 - 3*q + 3/5*q**5 + 0*q**3 - 3/2*q**4. Factor u(t).
3*(t - 1)**3*(t + 1)
Let g(a) = -a - 1. Suppose 34*f = 17*f + 34. Let p(u) be the first derivative of -8*u**3/3 + 4*u**2 + 4*u + 1. Let d(b) = f*g(b) + p(b). Factor d(q).
-2*(q - 1)*(4*q + 1)
Let u(t) be the second derivative of -t**5/40 - 13*t**4/8 - 12*t**3 - 35*t**2 + 38*t - 4. Let u(v) = 0. Calculate v.
-35, -2
Let v(j) = -j**3 - j**2 + 1. Suppose 18 = -r + 5*i - 13, -2*r + i - 71 = 0. Let h(q) = 8*q**3 + 6*q**2 - 5. Let a(w) = r*v(w) - 4*h(w). Factor a(l).
4*(l - 1)*(l + 2)**2
Let d(m) be the third derivative of m**6/360 - 3*m**5/40 + m**4/12 + 13*m**3/36 + 937*m**2. Factor d(q).
(q - 13)*(q - 1)*(2*q + 1)/6
Let i(m) be the third derivative of -m**7/70 - 9*m**6/40 + m**5/2 - m**2 - 49*m. Let i(x) = 0. Calculate x.
-10, 0, 1
Suppose 2*a - 5*a = 12, -h - 1 = a. Let q = h - 17/6. Suppose q*o**4 + 2/3*o**3 - 1/3*o - 1/3*o**2 - 1/3*o**5 + 1/6 = 0. Calculate o.
-1, 1/2, 1
Let w be 14/(-18)*(-24)/440*5. Let f = w - -31/165. Factor -2/5*o + 0 - f*o**2.
-2*o*(o + 1)/5
Let w(z) be the first derivative of 2*z**6/21 + 32*z**5/35 + 18*z**4/7 + 16*z**3/21 - 38*z**2/7 - 48*z/7 + 64. Find r such that w(r) = 0.
-4, -3, -1, 1
Let p(b) be the third derivative of -b**9/272160 + b**8/30240 - b**6/810 + 13*b**5/60 - 20*b**2. Let h(d) be the third derivative of p(d). Factor h(x).
-2*(x - 2)**2*(x + 1)/9
Suppose v + 3*a = -3*v + 21, 5*v - 4*a = 3. Let w(t) = t**3 + 2*t**2 - 3*t + 3. Let f be w(-3). Factor -v*k**2 + f*k**2 - 4 - 4*k**4 + 8*k**2.
-4*(k - 1)**2*(k + 1)**2
Factor -2/3*z**2 - 512/3 + 64/3*z.
-2*(z - 16)**2/3
Let v be -2 + -3 - (2/(-2) + -4). Let x(i) be the third derivative of -1/16*i**4 + i**2 + 1/12*i**3 + 1/40*i**5 - 1/240*i**6 + v + 0*i. What is f in x(f) = 0?
1
Let u(l) be the first derivative of 0*l + 9 + 0*l**2 + 4/3*l**3. Let u(y) = 0. What is y?
0
Let k(j) be the first derivative of 25*j**3/21 + 24*j**2/7 - 4*j/7 - 34. Suppose k(g) = 0. What is g?
-2, 2/25
Let f be 168/77 - 2/11. Solve 16*b - b**f - 49 + 81 + 3*b**2 = 0.
-4
What is m in -33*m**2 - 20*m**2 - 424*m + 49*m**2 = 0?
-106, 0
Let g(y) = y**4 + y**2. Let f(n) = n**5 + 3*n**4 - 9*n**3 + n**2. Let q(t) = -f(t) + 6*g(t). Find j, given that q(j) = 0.
-1, 0, 5
Let c(u) be the third derivative of -u**7/490 + u**6/280 + u**5/20 - 13*u**4/56 + 3*u**3/7 + 29*u**2 - 2. Suppose c(k) = 0. What is k?
-3, 1, 2
Let t(d) be the third derivative of -d**6/360 + 2*d**5/45 - 5*d**4/18 + 8*d**3/9 - d**2 + 474. Factor t(x).
-(x - 4)*(x - 2)**2/3
Let q(c) = c**2 + 4*c - 13. Let z be q(-7). Let d(w) be the first derivative of 4