p?
0, 1
Suppose 34*b - 117*b = -38*b. Let -4/5 - 6/5*g + b*g**2 + 2/5*g**3 = 0. Calculate g.
-1, 2
Let b = -1033/18 + 584/9. Solve -5*i + 0 + 25/2*i**3 + b*i**2 = 0.
-1, 0, 2/5
Factor 0 + 2*f - 1/3*f**4 - 2*f**3 + 1/3*f**2.
-f*(f - 1)*(f + 1)*(f + 6)/3
Let b(c) = c**2 - 17*c + 10. Let v(n) = -2*n**2 + 52*n - 29. Suppose 4*t + 4 = 0, -3*k - 9 = -5*t + 7. Let j(i) = k*b(i) - 2*v(i). Suppose j(w) = 0. What is w?
1, 4
Let k(n) = 2*n - 8. Let p = 24 - 20. Let t be k(p). Determine j, given that t - 1/3*j**2 - 1/3*j = 0.
-1, 0
Let z(q) be the first derivative of -2*q**3/15 + 37*q**2/5 - 72*q/5 + 19. Find o, given that z(o) = 0.
1, 36
Let y(v) be the first derivative of 0*v - 7/4*v**3 - 45/16*v**4 - 26 - 27/20*v**5 - 3/8*v**2. Factor y(i).
-3*i*(i + 1)*(3*i + 1)**2/4
Let q(z) be the second derivative of -z**6/240 + z**5/80 + z**4/32 - z**3/12 - z**2/4 + 110*z + 2. Solve q(g) = 0 for g.
-1, 2
Let i(v) be the first derivative of -v**6/9 + v**5/3 + 13*v**4/6 + v**3/9 - 5*v**2 + 380. Let i(t) = 0. What is t?
-2, -3/2, 0, 1, 5
Let s(q) be the second derivative of -q**7/105 + 7*q**6/75 + 9*q**5/50 - 7*q**4/30 - 8*q**3/15 + 44*q. What is h in s(h) = 0?
-1, 0, 1, 8
Factor 15/4 - 1/4*m**3 + 1/4*m**2 + 17/4*m.
-(m - 5)*(m + 1)*(m + 3)/4
Determine l so that 6*l**2 + 61*l - 5*l**5 - 95*l**3 + 99*l**2 - 42*l - 105*l**4 + 81*l = 0.
-20, -1, 0, 1
Let p(t) be the second derivative of -2*t**7/7 + 23*t**6/10 + 57*t**5/10 - 4*t**4 - 17*t**3 - 21*t**2/2 - 12*t - 1. Let p(n) = 0. What is n?
-1, -1/4, 1, 7
Let h be -6*15/20*8/(-2). Suppose h*l = 19*l. Factor 3/2*b**5 + 0*b**4 + 0*b**2 + 0 - 3/2*b**3 + l*b.
3*b**3*(b - 1)*(b + 1)/2
Factor 0*n + 0 + 3*n**3 - 3/2*n**4 + 12*n**2.
-3*n**2*(n - 4)*(n + 2)/2
Let t(i) be the second derivative of i**6/135 - 14*i**5/45 + 65*i**4/18 + 28*i**3/27 - 196*i**2/9 - 536*i. Let t(d) = 0. Calculate d.
-1, 1, 14
Factor -10/3*p**2 + 8*p - 24/5.
-2*(5*p - 6)**2/15
Let m(x) = -15*x + 72. Let c be m(5). Let j be -3*(c + (2 - 0)). Factor -3 - 3/2*f**5 + j*f**3 + 21/2*f + 3*f**4 - 12*f**2.
-3*(f - 1)**4*(f + 2)/2
Let h(m) be the third derivative of -m**7/630 - 7*m**6/360 + m**5/180 + 7*m**4/72 + 145*m**2. Factor h(a).
-a*(a - 1)*(a + 1)*(a + 7)/3
Let i = 24 + 2. Let l = i - 17. What is z in 20*z**2 - 7*z**2 - l*z**2 = 0?
0
Let o(s) be the third derivative of -s**8/2016 + s**7/1260 + s**6/240 - s**5/72 + s**4/72 + 44*s**2. Factor o(n).
-n*(n - 1)**3*(n + 2)/6
Let l(c) = -3*c - 13*c + 9*c**2 - c**2 + 5 - c**3. Let v be l(5). Factor -7/6*r**5 + v + 0*r - 1/3*r**2 - 8/3*r**4 - 11/6*r**3.
-r**2*(r + 1)**2*(7*r + 2)/6
Let y(r) be the second derivative of 0 - 7*r - 24*r**2 + 4*r**3 - 1/4*r**4. Factor y(f).
-3*(f - 4)**2
Let s(m) be the first derivative of 5*m**3 + 60*m - 5/4*m**4 + 29 + 40*m**2. Find c, given that s(c) = 0.
-2, -1, 6
Let j(q) be the second derivative of -2*q**7/21 - 28*q**6/5 - 587*q**5/5 - 2702*q**4/3 + 392*q**3 + 5488*q**2 - 3*q. Factor j(l).
-4*(l - 1)*(l + 1)*(l + 14)**3
Let n(x) be the third derivative of x**9/166320 + x**8/110880 - x**7/5544 + x**6/1980 - x**5/4 + 8*x**2. Let v(d) be the third derivative of n(d). Factor v(w).
2*(w - 1)*(w + 2)*(2*w - 1)/11
Suppose -o + l + 9 = 0, -3*o - 5*l - 23 = -10. Solve -3*y**4 - 5*y**2 - 4 - 5*y**o + 8*y**3 + 13*y**2 - 4*y**5 + 4*y**4 - 4*y = 0 for y.
-1, 1
Let m = 38 + -35. Factor 8*r - 4*r**2 + 3 + m + 6*r**2.
2*(r + 1)*(r + 3)
Let n = 19 - 4. Suppose 5*g**4 + n*g + 3*g**3 - 10 + 2*g**3 + 5*g**2 - 6*g**3 - 14*g**3 = 0. What is g?
-1, 1, 2
Suppose 68*y - 70*y = -5*x + 2, 5*y = -3*x + 26. Factor c + 1/6*c**x + 5/6.
(c + 1)*(c + 5)/6
Let n(f) be the second derivative of 5*f**4/33 - 13*f**3/33 + 3*f**2/11 + 3*f - 1. Suppose n(v) = 0. What is v?
3/10, 1
Suppose -2*t = 9*t - 22. Factor -j**2 + t*j**2 + 43*j - 46*j.
j*(j - 3)
Let y(s) be the first derivative of -s**6/24 - 17*s**5/20 - 57*s**4/8 - 94*s**3/3 - 76*s**2 - 96*s + 430. Find f such that y(f) = 0.
-4, -3, -2
Let f be 12*1/48 + -4 + (-255)/(-36). Solve -f*y - 2/3*y**3 + 4/3 + 8/3*y**2 = 0.
1, 2
Let k be 1*-3*(0 - -5). Let f be 5/(k/9)*-1. Solve -5 + 2*a**3 - a**5 + 3 - f*a - 3*a**3 + 2*a**2 + 5*a**3 = 0.
-1, 1, 2
Let n(h) be the second derivative of 1/7*h**3 + 1/70*h**5 + 0 + 18*h + 0*h**2 + 2/21*h**4. Solve n(k) = 0 for k.
-3, -1, 0
Suppose 60*k - 61*k - 6 = -l, 3*k = -3*l. Let h(u) be the first derivative of 16/15*u**6 + 4/3*u**l - 13 + 33/10*u**4 + 1/5*u**2 + 0*u + 16/5*u**5. Factor h(t).
2*t*(t + 1)**2*(4*t + 1)**2/5
Factor 12/7*i + 6/7*i**3 + 4/7 + 1/7*i**4 + 13/7*i**2.
(i + 1)**2*(i + 2)**2/7
Let z(y) = 3*y**2 - 3*y + 13. Let b(f) = 2*f**2 - 2*f + 7. Let i(j) = 5*b(j) - 3*z(j). Let o be i(-2). Factor 15*s - 9*s**3 - 3*s**4 - 24*s + 9*s - 6*s**o.
-3*s**2*(s + 1)*(s + 2)
Let q(r) be the second derivative of r**4/12 + 17*r**3/6 + 8*r**2 + 143*r. Suppose q(c) = 0. What is c?
-16, -1
Let s be (-14)/6*(-2 - 1). Suppose 5*h - 2*t = -s*t + 30, -h + 4*t = -1. What is m in 7*m**5 - 15*m**2 + 3*m - 21*m**4 + 16*m**3 - m**h + 11*m**3 = 0?
0, 1/2, 1
Let w(l) = -l - 5. Let k be (-3 - -4)*-2 - 5. Let h be w(k). Factor 0 + 0*b + 4/13*b**3 + 2/13*b**h + 2/13*b**4.
2*b**2*(b + 1)**2/13
Let g(s) be the third derivative of -s**5/20 + 41*s**4/8 - 1681*s**3/8 - 4*s**2 - 26*s. Factor g(p).
-3*(2*p - 41)**2/4
Determine s, given that 18*s**4 - 24*s**3 + 4*s**4 - 7*s**4 + 12*s - 22*s**2 - 5*s**4 = 0.
-1, 0, 2/5, 3
Suppose -2*g - 2 = 4*p, -10*g + 7*g - 3 = -2*p. Let l be 0 + 2 - (-5)/(-3). Let -l*b**5 - b**3 + b**4 + 1/3*b**2 + p*b + 0 = 0. Calculate b.
0, 1
Let t(k) = -k**3 + 6*k**2 + k. Let p be 5/(4 + (-3)/2). Let r(x) = 6*x**2 + 2*x. Let o(q) = p*t(q) - 3*r(q). Factor o(f).
-2*f*(f + 1)*(f + 2)
Let o = -5520 - -5523. Factor -2/5 + 0*d**2 - 9/5*d**o + 7/5*d.
-(d + 1)*(3*d - 2)*(3*d - 1)/5
Let s = 27693/8 - 3446. Let u(j) be the second derivative of -5/16*j**4 - s*j**2 + 3*j - 1/80*j**5 + 0 - 25/8*j**3. Factor u(h).
-(h + 5)**3/4
Let h(j) be the second derivative of -3*j**5/70 - 5*j**4/42 + 4*j**3/21 + 4*j**2/7 + j - 3. Suppose h(g) = 0. What is g?
-2, -2/3, 1
Factor -138*g**2 - 1/5*g**3 - 31740*g - 2433400.
-(g + 230)**3/5
Let m(r) be the first derivative of -r**6/405 - 37*r**5/540 - r**4/12 + 17*r**3/3 + 38. Let w(s) be the third derivative of m(s). Factor w(j).
-2*(j + 9)*(4*j + 1)/9
Let f = -2/101169 + 730721/2832732. Let a = f - 1/28. Factor 0 - 2/3*u**2 + 0*u**3 + a*u**4 + 4/9*u.
2*u*(u - 1)**2*(u + 2)/9
Suppose 3*v - 15*v + 24 = 0. Factor -7*z**3 + 40*z**2 + v*z**3 - 15*z**4 - 19*z - z.
-5*z*(z - 1)*(z + 2)*(3*z - 2)
Suppose 0 = 5*f - 95 + 85. Factor 5*j**2 + 4 - 3*j**2 - 12 - f*j - 4.
2*(j - 3)*(j + 2)
Let f(r) be the second derivative of r**5/2 + 52*r**4 - 191*r**3/3 - 126*r**2 - 2*r - 182. Find c, given that f(c) = 0.
-63, -2/5, 1
Let b(n) = n**3 - n - 1. Suppose 6*o = 3*o + 18. Let c(k) = 4*k**3 - 2*k**2 - 3*k - 3. Let a(j) = o*b(j) - 2*c(j). Determine f, given that a(f) = 0.
0, 2
Let n(m) be the third derivative of m**8/672 - 29*m**7/420 + m**6/3 + 491*m**5/30 + 66*m**4 - 432*m**3 - 588*m**2. Find q such that n(q) = 0.
-4, 1, 18
Let p be (-5 - (-2 + -2))/((-2)/44). Suppose -p*s - 8 = -26*s. Factor 0 + 4/5*i - 6/5*i**s + 2/5*i**3.
2*i*(i - 2)*(i - 1)/5
Let u be (-3 + 2)*(-10 + 5) + -3. Let y be -2 - 1/((-3)/15). Suppose 36/5*x**y + 3/5*x**5 + 24/5*x**u + 0*x + 18/5*x**4 + 0 = 0. Calculate x.
-2, 0
Let r(z) = 136*z**3 - 524*z**2 - 172*z + 128. Let g(l) = -l**3 - l - 2. Let s(a) = -24*g(a) - r(a). Factor s(c).
-4*(c - 5)*(4*c - 1)*(7*c + 4)
Let d be -4 - (1 - -1 - 2). Let f be (-18)/(-10) - 3/(-1 - d). Factor -f*y**2 + 2/5 + 2/5*y**4 - 2/5*y**5 + 4/5*y**3 - 2/5*y.
-2*(y - 1)**3*(y + 1)**2/5
Let z(c) be the second derivative of -c**7/7560 - c**6/810 - c**5/270 + 5*c**3/6 + 26*c. Let l(f) be the second derivative of z(f). Factor l(a).
-a*(a + 2)**2/9
Let m(h) be the first derivative of -h**3/21 - 9*h**2/7 - 17*h/7 + 247. Factor m(d).
-(d + 1)*(d + 17)/7
Let s be (-86)/(-3)*1/(-2). Let b = s - -15. Factor b + 0*i**2 + 1/3*i**3 - i.
(i - 1)**2*(i + 2)/3
Let c be (-2)/80*-2*((25 - 5) + -8). Factor 0 - c*w**2 - 9/5*w.
-3*w*(w + 3)/5
Let o(v) = 5*v - 2*v + 44 - 17 - 23. Let g be o(5). Solve 6*u**3 + 13*u**2 - 25*u**2 - 12*u - 3 + g*u**4 - 4*u**4 + 6*u**5 = 0 for u.
-1, -1/2, 1
Let f be (-16)/(-56) + (-428)/1547. Let y = 878/663 + f. Factor y*d**4 + 0 -