-3 + -7. Let p be ((-8)/k)/(4/10). Factor 0*g**2 - g**2 + 2*g + 4*g**p - g**2.
2*g*(g + 1)
Let s(b) = -b**3 + 12*b**2 - 12*b + 14. Let o be s(11). Let -o*l**2 - 3*l + l**3 - 12 + 2*l + 15 + 0*l**3 = 0. What is l?
-1, 1, 3
Let d(l) = 21*l**2 - 19*l + 19. Let o be d(1). Suppose o*b + 6 = 24*b. Factor -2*i**4 - 2*i**3 - 1/2*i**5 + 5/2*i + i**b + 1.
-(i - 1)*(i + 1)**3*(i + 2)/2
Let d = 1003/74 - 2/37. Let a(f) be the second derivative of -2*f + 0 - 9/4*f**4 - d*f**3 - 3/20*f**5 - 81/2*f**2. Solve a(r) = 0 for r.
-3
Let q(v) be the second derivative of -v**8/20160 - v**7/2520 + 5*v**4/12 - 9*v. Let m(t) be the third derivative of q(t). Find a such that m(a) = 0.
-3, 0
Determine l, given that 42/5*l + 33*l**2 + 0 - 12/5*l**3 = 0.
-1/4, 0, 14
Let h be 0 + -6*66/(-4) + -4. Let 39*w**5 + 0*w**2 + 180*w**4 + 68*w**2 - h*w**5 + 8*w - 8 + 4*w - 196*w**3 = 0. What is w?
-2/7, 1/2, 1
Let i(y) be the third derivative of y**8/28 - 13*y**7/70 + 11*y**6/40 - y**5/10 - 2*y**2 + 161*y. Find t, given that i(t) = 0.
0, 1/4, 1, 2
Let c(x) be the second derivative of -3*x**5/4 + 47*x**4/2 - 71*x**3/2 - 27*x**2 + 42*x - 3. Factor c(n).
-3*(n - 18)*(n - 1)*(5*n + 1)
Let v(o) be the third derivative of o**6/120 - 5*o**5/6 + 625*o**4/24 + 208*o**2. Find f, given that v(f) = 0.
0, 25
Let x be ((15/(-2))/3)/(9/(-216)). Determine i, given that -4*i**3 + 8*i**4 + x*i**2 - 28*i - 8 - 10*i**4 - 12*i**4 - 6*i**4 = 0.
-2, -1/5, 1
Let o(c) = 20*c**2 + 4*c + 12. Let y(f) be the second derivative of 6*f - 1/6*f**3 + 0 - 2*f**2 - 7/12*f**4. Let n(x) = -5*o(x) - 14*y(x). Solve n(g) = 0.
-2, -1
Find d, given that -18 - 103*d**2 + 51*d**2 - 20*d + 50*d**2 = 0.
-9, -1
Let n(v) = -26*v**4 - 105*v**3 + 135*v**2 + 105*v - 131. Let w(y) = 9*y**4 + 35*y**3 - 45*y**2 - 35*y + 44. Let g(f) = 4*n(f) + 11*w(f). Factor g(x).
-5*(x - 1)**2*(x + 1)*(x + 8)
Let d(b) = 4*b**3 + b**3 + 4*b**2 - 5*b + 7 - 5. Let y be d(2). Factor -8*z + 48*z**2 + 256 - y*z - 136*z - 4*z**3.
-4*(z - 4)**3
Let k(t) be the first derivative of 9*t**4/4 + 34*t**3/3 - 4*t**2 + 82. Find z, given that k(z) = 0.
-4, 0, 2/9
Let s = -46696/7 + 6672. Suppose -10/7*f - s - 2/7*f**2 = 0. What is f?
-4, -1
Let u(r) be the third derivative of -r**7/7560 + r**5/360 - 11*r**4/24 + 12*r**2. Let l(s) be the second derivative of u(s). Factor l(o).
-(o - 1)*(o + 1)/3
Suppose 32 = -0*p - 2*p. Let g = p + 21. Factor -3*h - g*h**2 + h**2 - h + 6*h - 6*h**3.
-2*h*(h + 1)*(3*h - 1)
Let w(t) = 8*t + 43. Let r be w(-8). Let b = r - -24. Factor 2/15 - 2/15*m**2 + 2/15*m**b - 2/15*m.
2*(m - 1)**2*(m + 1)/15
Let f(r) = 3*r**2 - 20. Let h(j) = -j**2. Let a(t) = f(t) - 2*h(t). Find s, given that a(s) = 0.
-2, 2
Let j(c) = 5*c**2 + 26*c + 7. Let v(i) = -2*i**2 - 11*i - 3. Let z(y) = -6*j(y) - 13*v(y). Factor z(t).
-(t + 3)*(4*t + 1)
Let w(r) = -2*r + 4. Suppose 0 = -7*d + 2*d. Let v be w(d). Solve 47*k**4 - 20*k**3 + 50*k**2 + 8 - 43*k**v - 14*k**2 - 28*k = 0 for k.
1, 2
Suppose 3*n + 6 = 0, 5*t - 38 = -3*n - 4. Factor 4*q**2 - 2/3*q**3 - t*q + 16/3.
-2*(q - 2)**3/3
Let a be ((-6)/10 - -1)*5. Let z be (-4)/24*10*-3. Determine x, given that -4*x**3 + z*x**3 + a*x**3 + 0*x**3 = 0.
0
Determine l so that 56/3*l - 55/3 - 1/3*l**2 = 0.
1, 55
Let i(j) = j**4 + 7*j**3 + 13*j**2 - 24*j - 9. Let x(v) = 5*v**4 + 27*v**3 + 51*v**2 - 96*v - 39. Let p(f) = 26*i(f) - 6*x(f). Factor p(u).
-4*u*(u - 6)*(u - 1)*(u + 2)
Factor 8/3*u - 4/9*u**2 - 4.
-4*(u - 3)**2/9
Let o(v) be the second derivative of -5/9*v**6 - 47/6*v**4 - 4/3*v**2 - 15*v - 44/9*v**3 - 11/3*v**5 + 0. Solve o(q) = 0.
-2, -1/5
Suppose -2*m - 14 + 2 = 5*u, -2*u - 24 = -4*m. Let f(j) = -j**3 + 7*j**2 - 4*j - 4. Let s be f(6). Factor 2 - v - m*v**2 + 2*v**4 - s*v**3 - 7*v + 16*v**2.
2*(v - 1)**4
Let f(s) be the third derivative of -5*s**8/672 + s**7/21 - 7*s**5/12 + 85*s**4/48 - 5*s**3/2 - 185*s**2. Solve f(d) = 0.
-2, 1, 3
Let a(o) be the first derivative of -2*o**2 - 4 + 3*o**6 - 6/5*o**5 - 26/3*o**3 + 0*o - 23/2*o**4. What is y in a(y) = 0?
-1, -1/3, 0, 2
Let h(w) = -12*w + 290. Let d be h(24). Determine m, given that -2/3*m**d + 0 - 8/3*m = 0.
-4, 0
Let m(u) be the third derivative of 1/840*u**6 - 2/105*u**5 + 0*u + 0 + 1/24*u**4 + 9*u**2 + 0*u**3. Factor m(l).
l*(l - 7)*(l - 1)/7
Let s(c) be the first derivative of -c**4/12 - 5*c**3/3 + c**2/6 + 5*c - 282. Solve s(w) = 0 for w.
-15, -1, 1
Let r = -253 + 165. Let s be r/(-24) + 2/6. Determine v, given that -19*v**3 + v**3 - s*v - 16*v**2 + 11*v**3 = 0.
-2, -2/7, 0
Let m = -171 - -174. Let w(n) = -n + 3. Let y be w(0). What is f in 3*f**5 - 9*f**y - 3*f**4 + 2*f**4 - f + f - m*f**2 + 2*f = 0?
-1, 0, 1/3, 2
Let d(c) be the first derivative of -5*c**6/6 + 4*c**5 + 5*c**4/4 - 20*c**3/3 + 304. What is w in d(w) = 0?
-1, 0, 1, 4
Suppose -3*l = -v - 7 - 3, 2*l - 11 = 5*v. Factor l*u**3 + 0*u - 6*u - 2032*u**2 + 2029*u**2.
3*u*(u - 2)*(u + 1)
Find k such that -3/4*k**5 - 3/2*k**2 - 2 - 17/4*k**3 + 7/2*k**4 + 5*k = 0.
-1, 2/3, 1, 2
Let b(g) = -2*g**2 - 64*g + 5. Let r(j) = -3*j**2 - 98*j + 8. Let n(o) = 8*b(o) - 5*r(o). Factor n(t).
-t*(t + 22)
Solve -2/15*u**3 + 2/5 - 14/15*u + 2/3*u**2 = 0 for u.
1, 3
Let p be -4 + (0 - -1) - (-6430)/225. Let l = 129/5 - p. Factor 0 + 2/9*y - 4/9*y**2 + l*y**3.
2*y*(y - 1)**2/9
Determine t so that -48/23*t - 72/23 + 22/23*t**2 - 2/23*t**3 = 0.
-1, 6
Let j = 67 - 64. Factor 10*i**j - 3*i**4 - 4*i**3 - 1099 - 3*i**2 + 1099.
-3*i**2*(i - 1)**2
Suppose -4*r + 12 = 4. Find z, given that -4*z**r - 2*z**3 + 5*z**3 + 19*z - 19*z = 0.
0, 4/3
Let w be 13 - 18/2 - (-1 + 2). Let g(x) be the first derivative of -3 + 0*x**2 + 0*x + 1/15*x**w. Find z, given that g(z) = 0.
0
Let d be ((-315)/140)/(1*6/(-8)). Let r(x) be the second derivative of 1/9*x**d + 0 - 3*x + 1/36*x**4 + 1/6*x**2. Factor r(i).
(i + 1)**2/3
Let u = -168503/8 - -21063. Find r such that -1/8 + 1/8*r**2 - 1/8*r**3 + u*r = 0.
-1, 1
Let r(q) = 21*q**3 - q. Let s be r(1). Factor -14*i**2 + 40*i**4 - 35*i + 15*i**5 + 37 - 16*i**2 - 47 + s*i**3.
5*(i - 1)*(i + 1)**3*(3*i + 2)
Let g be (-11 - (-105)/9)/((-4)/(-12)). Let -4/15*h**4 + 2/15*h + 0 - 2/15*h**5 + 4/15*h**g + 0*h**3 = 0. Calculate h.
-1, 0, 1
Let y be (1*52/(-20) - -3)*-5. Let m be 5 + (-255)/70 + y/(-14). Factor -3*i**2 - 15/4*i - m - 3/4*i**3.
-3*(i + 1)**2*(i + 2)/4
Let m(a) = -14*a**2 - 69*a - 14. Let c(g) = 2*g**2 - g + 2. Let i(n) = c(n) - m(n). Find p such that i(p) = 0.
-4, -1/4
Let x be (5 + 7 - (-218)/(-18))*-6. Find t, given that 8/3 - 8/3*t**2 + x*t**3 - 2/3*t = 0.
-1, 1, 4
Factor -63 + 29 + 26*t**2 - 48 + 18*t - 22 - 24*t**2.
2*(t - 4)*(t + 13)
Find f such that 2*f + 1/4*f**2 + 4 = 0.
-4
Let g(s) be the second derivative of -8*s**6/3 - 34*s**5 - 295*s**4/4 - 160*s**3/3 - 35*s**2/2 - 54*s. Solve g(p) = 0.
-7, -1, -1/4
Let f be (820/(-4825))/((-312)/(-860)). Let p = -4/579 - f. Factor -2/13 - p*g + 8/13*g**3 + 0*g**2.
2*(g - 1)*(2*g + 1)**2/13
Let t(f) be the second derivative of -f**2 + 0 - 1/6*f**3 + 1/12*f**4 + 13*f. Factor t(i).
(i - 2)*(i + 1)
Let d = -4/177 - -2152/1239. Let g = 4 - 26/7. What is r in d*r - 18/7 - g*r**2 = 0?
3
Let c(d) be the first derivative of -40 + 0*d + 0*d**3 + 0*d**2 - 1/3*d**4 - 1/15*d**5. Factor c(x).
-x**3*(x + 4)/3
Let o(w) be the third derivative of 133*w**8/192 + 3*w**7/4 + 11*w**6/40 + w**5/30 + 6*w**2 - 12. Factor o(i).
i**2*(7*i + 2)**2*(19*i + 2)/4
Let p(j) be the second derivative of j**6/120 + 3*j**5/80 - j**3/6 + 169*j. Factor p(y).
y*(y - 1)*(y + 2)**2/4
Let t(m) be the third derivative of m**8/168 + 2*m**7/21 + 13*m**6/20 + 37*m**5/15 + 17*m**4/3 + 8*m**3 + 3*m**2 - 55*m. Determine n, given that t(n) = 0.
-3, -2, -1
Let d(j) be the third derivative of j**7/210 + 17*j**6/120 + 11*j**5/15 + 7*j**4/6 - 338*j**2. Suppose d(b) = 0. What is b?
-14, -2, -1, 0
Let w(l) be the first derivative of 5*l**4/4 + 40*l**3/3 + 35*l**2/2 - 122. Let w(r) = 0. What is r?
-7, -1, 0
Let w(u) be the second derivative of -2/35*u**7 + 20*u + 0 + 3/20*u**4 + 17/50*u**6 + 0*u**3 + 0*u**2 - 12/25*u**5. What is x in w(x) = 0?
0, 1/4, 1, 3
Let i(u) be the second derivative of -2*u**6/15 - 2*u**5/5 + 7*u**4/3 - 8*u**3/3 - 248*u. Let i(t) = 0. Calculate t.
-4, 0, 1
Let f be -77 + 69 + 46/3. Let s(n) be the second derivative of 4*n**2 - f*n**3 + 3*n**4 + 0 - 8*n. Factor s(m).
4*(m - 1)*(9*m - 