n be (3/(-6))/((-2)/76) - 4. Suppose 4*t = -5*o + n, -1 + 16 = 5*o + 5*t. Let -o*y**2 + 3/2*y**3 - 9/2*y + 0 = 0. What is y?
-1, 0, 3
Let n(v) = -12*v**4 - 36*v**3 - 27*v**2 - 9*v. Let m(y) = 23*y**4 + 70*y**3 + 54*y**2 + 17*y. Let l(t) = 3*m(t) + 5*n(t). Suppose l(b) = 0. Calculate b.
-2, -1, -1/3, 0
Let l be 117/45 + 8/20. Let f be (7 - 2) + -5*(7 + -6). Factor 6/11*k**l + f + 8/11*k - 16/11*k**2.
2*k*(k - 2)*(3*k - 2)/11
Let y(h) = -12*h**3 - 44*h**2 - 32*h + 20. Let z(j) = -12*j**3 - 44*j**2 - 32*j + 19. Suppose 0*o + 8 = 2*o. Let x(m) = o*z(m) - 3*y(m). Factor x(t).
-4*(t + 2)**2*(3*t - 1)
Factor 227084*u**2 - u**3 - 1 - 227083*u**2 + u + 0*u.
-(u - 1)**2*(u + 1)
Suppose 2 = 13*i - 12*i. Let n(f) be the third derivative of 0 + 1/360*f**5 + 0*f - 1/36*f**3 - 1/144*f**4 + f**i + 1/720*f**6. Factor n(k).
(k - 1)*(k + 1)**2/6
Let y(m) = -25*m**2 - 480*m - 415. Let d(x) = -2*x**2 - 37*x - 32. Let o(p) = 40*d(p) - 3*y(p). Suppose o(v) = 0. What is v?
-7, -1
What is c in 1/5*c**4 + 0 + 0*c + 8/5*c**3 + 7/5*c**2 = 0?
-7, -1, 0
Let p(x) = 40*x**4 - 32*x**3 + 4*x - 4. Let h(r) = r**5 - 39*r**4 + 32*r**3 - 3*r + 3. Let s(v) = -4*h(v) - 3*p(v). Factor s(a).
-4*a**3*(a - 8)*(a - 1)
Let d(m) be the first derivative of -1/18*m**3 - 2/3*m**2 - 8/3*m + 9. Factor d(p).
-(p + 4)**2/6
Let h(q) = 6*q**4 - 14*q**3 + 50*q**2 + 14*q - 40. Let a(r) = r**4 - 3*r**3 + 10*r**2 + 3*r - 8. Let t(f) = 16*a(f) - 3*h(f). Suppose t(p) = 0. What is p?
-4, -1, 1
Find n, given that -1/4*n**3 + 21/4 + 41/4*n + 19/4*n**2 = 0.
-1, 21
Let j(s) be the third derivative of s**8/84 + 16*s**7/105 + 4*s**6/5 + 32*s**5/15 + 8*s**4/3 + 126*s**2. Factor j(n).
4*n*(n + 2)**4
Let u = 52/9 - 355/63. Let f(z) be the second derivative of u*z**2 - 2/21*z**3 - 3*z + 1/42*z**4 + 0. Suppose f(a) = 0. What is a?
1
Let b(g) be the second derivative of -g**7/147 + 3*g**6/35 - g**5/10 - 3*g**4/14 + 8*g**3/21 + 114*g. Solve b(l) = 0 for l.
-1, 0, 1, 8
Let v = 57 - 51. Let u(i) be the first derivative of -i**2 - v - 4/3*i - 2/9*i**3. Factor u(d).
-2*(d + 1)*(d + 2)/3
Let y(u) be the third derivative of 5*u**8/336 - 2*u**7/21 + u**6/12 + u**5/3 - 5*u**4/8 + 15*u**2 + 2. What is q in y(q) = 0?
-1, 0, 1, 3
Let d(o) = 23*o**2 - 1113*o + 30250. Let j(b) = 11*b**2 - 556*b + 15125. Let i(g) = -6*d(g) + 13*j(g). Factor i(k).
5*(k - 55)**2
Let z(p) be the third derivative of p**7/840 + 11*p**6/360 - 7*p**3/3 - 13*p**2. Let t(i) be the first derivative of z(i). Factor t(s).
s**2*(s + 11)
Let f(h) = -7*h**3 - 23*h**2 - 12*h. Let q be (0 - 3) + (4 - -1)*1. Let w(d) = 6*d**3 + 24*d**2 + 12*d. Let s(z) = q*w(z) + 3*f(z). Find p, given that s(p) = 0.
-4/3, -1, 0
Let z(x) = 6*x**4 - 16*x**3 + 5*x**2 + 5*x. Let v(j) = 2*j**4 - 6*j**3 + 2*j**2 + 2*j. Let p(w) = -11*v(w) + 4*z(w). Suppose p(r) = 0. What is r?
-1, 0, 1
Let m(k) be the first derivative of -147*k**6/10 - 42*k**5/25 + 867*k**4/20 + 48*k**3/5 - 138*k**2/5 + 48*k/5 - 20. Solve m(h) = 0 for h.
-1, 2/7, 4/3
Let v(r) be the first derivative of -r**3 + 0*r + 0*r**2 + 5 + 0*r**4 - 1/270*r**5 - 1/1620*r**6. Let i(l) be the third derivative of v(l). Factor i(h).
-2*h*(h + 2)/9
Let y(s) be the first derivative of s**6/140 - s**5/42 - s**4/42 + 14*s**2 - 7. Let u(f) be the second derivative of y(f). Factor u(w).
2*w*(w - 2)*(3*w + 1)/7
Let r be 581/83 + -3 + -1. Let t(a) be the first derivative of a**4 - 6 - 20/3*a**r + 6*a**2 + 36*a. Solve t(y) = 0.
-1, 3
Let r(u) be the third derivative of u**5/60 + u**4/4 + 3*u**3/2 + u**2 + 5. Find x, given that r(x) = 0.
-3
Factor 6*q**2 - 9 - 79 - 2*q**2 + 36*q.
4*(q - 2)*(q + 11)
Let a(b) = b**3 + 13*b**2 - 20*b. Let f(r) = 15*r**2 - 20*r. Let h(i) = -5*a(i) + 6*f(i). Factor h(q).
-5*q*(q - 4)*(q - 1)
Suppose -5*b + 6 = -4*b - 4*m, -5*m - 13 = -4*b. Determine j, given that 3/4*j**b + 9/4*j - 9/4*j**3 + 3/4 - 3/2*j**4 = 0.
-1, -1/2, 1
Let j(d) = -5*d**2 + d + 20. Let a be j(6). Let g be 18/99 - 16/a. Factor 2/7*n**3 + 0 - 4/7*n**2 + g*n.
2*n*(n - 1)**2/7
Let n = 1118 - 5588/5. Factor 0*k - n*k**3 + 6/5*k**2 + 0.
-2*k**2*(k - 3)/5
Let b(t) = -6*t + 106. Let f be b(17). Let j(a) be the second derivative of 0*a**3 - 1/18*a**4 + 1/90*a**6 + f*a + 0*a**5 + 0 + 1/6*a**2. Factor j(r).
(r - 1)**2*(r + 1)**2/3
Let y be (76/16 - 5)*0. Let z(a) be the third derivative of 1/8*a**4 + 0 - 3*a**2 + 1/20*a**5 + y*a**3 + 0*a. Suppose z(d) = 0. Calculate d.
-1, 0
Let r be 14/(-84)*45*(1/(-5) - 0). Factor -2/3*h + r*h**2 - 2/3 + 3/2*h**3.
(h + 1)*(3*h - 2)*(3*h + 2)/6
Let o(w) be the second derivative of -w**8/672 + 17*w**7/1260 - 2*w**6/45 + w**5/15 - 3*w**4/4 - 37*w. Let z(r) be the third derivative of o(r). Factor z(u).
-2*(u - 2)*(u - 1)*(5*u - 2)
Factor 78*h + 2*h**2 + 81*h + 108*h - 338*h - 2*h**3 - 48 + 99*h.
-2*(h - 3)*(h - 2)*(h + 4)
Let m be (-34)/(-2) + (-1833)/(-78). Find v, given that m*v**2 + 9*v**3 + 3/4*v**4 + 243/4 + 81*v = 0.
-3
Let w = 69 + -66. Let f(h) be the second derivative of -1/3*h**4 + 7/3*h**w - 2*h**2 + 0 - 3/10*h**5 - h. Suppose f(l) = 0. What is l?
-2, 1/3, 1
Let j = -14937/20 + 747. Let q(o) be the second derivative of 0*o**2 + 0*o**3 + 0*o**6 + j*o**5 - 1/14*o**7 + 0*o**4 - 3*o + 0. Solve q(u) = 0.
-1, 0, 1
Suppose -d - 3*m = -5, -22 = -4*d + 2*m - 2. Let w be 1*d*(-2)/(-35). Factor -4/7*s + w + 2/7*s**2.
2*(s - 1)**2/7
Let s(v) be the first derivative of -7*v**6/3 - 24*v**5/5 + 2*v**4 - 105. Let s(b) = 0. What is b?
-2, 0, 2/7
Let q(z) be the first derivative of z**6/18 - z**5/3 + z**4/2 + 1024. What is j in q(j) = 0?
0, 2, 3
Let p(y) = -4*y + 30. Let x be p(7). Solve -12*u - u**2 - 4 - 8*u**x + 1 = 0.
-1, -1/3
Suppose 4*m + 24 = 2*v, 4*v + 4*m + 0*m = -12. Suppose -5*k = -k - 20, 8 = -w + 3*k. Factor -v*n**2 + 8 + 0*n**2 - w + n**2.
-(n - 1)*(n + 1)
Let y(n) be the first derivative of n**5/20 + 11*n**4/16 - 7*n**3/6 - 3*n**2 + 576. Factor y(i).
i*(i - 2)*(i + 1)*(i + 12)/4
Let o be 1*2 - (-2622)/(-2185). Factor -2/5*c**2 + 6/5*c - o.
-2*(c - 2)*(c - 1)/5
Let i(c) = 3*c**3 - c. Suppose 3*b - 2*x = -7, 1 = -2*b + 2*x - 7. Let u be i(b). Suppose 9*w**2 + 3*w**3 - w - 15*w**3 + u*w**4 - w + 3*w**4 = 0. What is w?
0, 2/5, 1
Suppose -5*n - 3 = 7. Let h be (-1)/n*140/14. Factor -5*l**2 + 4*l - l**2 - 3 + h*l**2 + 0*l.
-(l - 3)*(l - 1)
Let k(h) = 3*h**3 - 3*h**2 - 12*h + 15. Let y be k(2). What is b in 6/11 + 10/11*b**2 + 2/11*b**y + 14/11*b = 0?
-3, -1
Let w(r) be the third derivative of -r**10/201600 + r**9/80640 - 13*r**5/60 + 19*r**2. Let o(h) be the third derivative of w(h). Find m such that o(m) = 0.
0, 1
Let t(c) = -33*c**2 + 6156*c + 1557. Let z(b) = -8*b**2 + 1537*b + 389. Let x(l) = 4*t(l) - 15*z(l). Let x(p) = 0. Calculate p.
-1/4, 131
Let w(f) be the first derivative of -14*f**5/45 + f**4/18 - 67. Solve w(a) = 0 for a.
0, 1/7
Let a(m) be the second derivative of m**4/72 + 38*m**3/9 + 1444*m**2/3 - 3*m + 148. Find k, given that a(k) = 0.
-76
Let u(t) be the first derivative of 3*t**5/20 + t**4 + 3*t**3/2 - 26*t - 7. Let m(q) be the first derivative of u(q). Factor m(b).
3*b*(b + 1)*(b + 3)
Let p = 8533/2 + -4262. Determine j so that -3/2*j**4 - 3/2*j**2 - 9/2*j**3 + 3 + p*j = 0.
-2, -1, 1
Let j(g) be the third derivative of -g**5/12 - 110*g**4/3 - 19360*g**3/3 + 6*g**2 - 24. Factor j(c).
-5*(c + 88)**2
Let x(p) = p**2 - 2*p + 3. Let m be x(2). Suppose -2*q = -m*u - 15, -3*q - 2*u + 3 = -0. Let -2*h**4 - 29*h**5 + 2*h + 32*h**5 + 2*h - 9*h**q = 0. Calculate h.
-1, 0, 2/3, 2
Let d = -447 - -456. Let x(g) be the second derivative of -7/4*g**4 - g**3 + 3/2*g**2 + d*g - 3/5*g**5 + 0. Let x(f) = 0. Calculate f.
-1, 1/4
Let t(c) = -c**3 + 1. Let f(g) = 2*g**3 + 12*g**2 + 3*g - 17. Let a(k) = -f(k) - 5*t(k). Find m such that a(m) = 0.
-1, 1, 4
Factor 3*d**3 - 48*d**2 - 11*d + 665 + 8*d - 617.
3*(d - 16)*(d - 1)*(d + 1)
Let x be (-2)/(-9) + (-950)/(-342). Let m(k) be the third derivative of 2*k**2 + 0 + 1/280*k**6 + 0*k**5 + 0*k + 1/7*k**x - 3/56*k**4. Factor m(g).
3*(g - 1)**2*(g + 2)/7
Let t(m) be the third derivative of -5*m**8/1008 - m**7/63 + m**6/4 - 8*m**5/9 + 115*m**4/72 - 5*m**3/3 - 87*m**2. Factor t(r).
-5*(r - 1)**4*(r + 6)/3
Suppose -1200 + 3*y**3 + 65*y**2 + 2*y + 3*y**2 + 158*y + y**3 = 0. Calculate y.
-10, 3
Let s be (-60)/80 - 10/(-8). Let k be -2*(6/(-4) - 1). Factor 20*y**4 + 33/2*y**3 + s*y + 5*y