 3*j + 40, -x*j - 6 = -3*u. Suppose 12 + 22*y**2 + 0 - 25*y**2 - j*y**3 + 12*y = 0. What is y?
-2, -1, 2
Let i(a) be the second derivative of a**7/14 - a**6/10 - 3*a**5/20 + a**4/4 + 3*a + 4. Determine m so that i(m) = 0.
-1, 0, 1
Factor 27*a**2 + a**5 - 21*a**4 + 17*a**4 - 3*a**2 + a**5 - 22*a**3.
2*a**2*(a - 4)*(a - 1)*(a + 3)
Let a(k) = k**2 + k + 1. Let r(v) = 5*v**3 - 25*v**2 + 25. Let c(x) = 5*a(x) + r(x). What is f in c(f) = 0?
-1, 2, 3
Let y(v) be the third derivative of 0*v - 1/40*v**6 - 3/8*v**4 - 1/2*v**3 + 32*v**2 + 0 - 3/20*v**5. What is i in y(i) = 0?
-1
Let n(x) = 5*x**5 - 5*x**4 + 15*x**2 - 15. Let j(a) = a**4 - a**2 + 1. Let i = -2 + 17. Let y(f) = i*j(f) + n(f). Factor y(b).
5*b**4*(b + 2)
Let t be (-60)/150 + (-18)/(-20). Factor -9/4*n + 9/4*n**3 + t*n**2 - 1/2.
(n - 1)*(n + 1)*(9*n + 2)/4
Factor 14/5*x**2 - 8/5 + 4/5*x**3 - 2*x.
2*(x - 1)*(x + 4)*(2*x + 1)/5
Let k(z) be the third derivative of z**6/40 + 453*z**5/20 + 68403*z**4/8 + 3442951*z**3/2 + 2*z**2 - 91. Solve k(j) = 0 for j.
-151
Let v = 588 - 586. Let b(o) be the first derivative of -1/2*o**2 + v - 1/5*o**5 - 1/6*o**6 + 1/2*o**4 + 2/3*o**3 - o. Suppose b(p) = 0. What is p?
-1, 1
Let m = -797 + 797. Let b(c) be the third derivative of -4*c**2 + 0 + 0*c**3 + 1/840*c**7 - 1/48*c**4 - 1/80*c**5 + 0*c**6 + m*c. Factor b(f).
f*(f - 2)*(f + 1)**2/4
Let g(f) be the second derivative of f**7/1260 - 7*f**6/1080 + f**5/90 - 37*f**4/12 + f. Let y(m) be the third derivative of g(m). Determine p so that y(p) = 0.
1/3, 2
Let p be -3 + (-9)/75*-5*5. Let z(x) be the first derivative of -x**2 + 7/2*x**4 + p*x + 8/5*x**5 + 4/3*x**3 + 3. Factor z(u).
2*u*(u + 1)**2*(4*u - 1)
Let r(b) be the first derivative of 10*b**2 - b**5 - 15*b**3 + 15/2*b**4 + 0*b - 2. Factor r(q).
-5*q*(q - 4)*(q - 1)**2
Suppose 18 = 3*w + 3. Suppose 4 = 3*z + w*h + 3, -3*z = 4*h - 2. Factor 2 + 8*x**2 - 2*x**2 + 0*x**z + 6*x + 2*x**3.
2*(x + 1)**3
Let g = 68/3 - 20. Let b be 14/(-6)*64/(-56). Find s, given that b*s + g + 2/3*s**2 = 0.
-2
Let p = 2976/5335 + -6/485. Let w = -2 - -2. Factor 2/11*z**4 - 2/11*z - 6/11*z**3 + w + p*z**2.
2*z*(z - 1)**3/11
Let a = 1820 - 1818. Factor -1/3*r**3 + 0 + r**a - 2/3*r.
-r*(r - 2)*(r - 1)/3
Let z(l) = l**2 + 8*l - 153. Let k be z(-17). Factor -14/19*c - 12/19 + k*c**2 + 2/19*c**3.
2*(c - 3)*(c + 1)*(c + 2)/19
Let v(b) = -3*b**3 + 20*b**2 - 2*b - 5. Let u(g) = -g**3 - 2*g**2 + 1. Let k(c) = -10*u(c) - 2*v(c). Solve k(d) = 0.
0, 1/4, 1
Let v(c) be the first derivative of c**7/280 + 17*c**6/120 + 2*c**5 + 8*c**4 + c**3 + 17. Let w(b) be the third derivative of v(b). Let w(n) = 0. Calculate n.
-8, -1
Let m(f) = 12*f**2 - 9*f + 10. Let j(v) = 17*v**2 - 14*v + 16. Let w(k) = 5*j(k) - 7*m(k). Find g such that w(g) = 0.
2, 5
Let f(n) = 7*n**4 - 6*n**3 - 9*n**2 + 18*n - 6. Let c(y) = 13*y**4 - 12*y**3 - 15*y**2 + 33*y - 11. Let r(t) = -6*c(t) + 11*f(t). Find j such that r(j) = 0.
0, 3
Let u be 3 - 9/135*42. Let x(c) be the second derivative of 1/30*c**3 + 1/30*c**4 + 0 + 7*c - 1/100*c**5 - u*c**2. Solve x(m) = 0.
-1, 1, 2
Suppose 0 - 24/7*p + 6*p**5 - 38/7*p**3 - 104/7*p**2 + 124/7*p**4 = 0. Calculate p.
-3, -2/3, -2/7, 0, 1
Let k(n) be the second derivative of 0*n**2 - n**3 - 3/4*n**4 - 22*n - 3/20*n**5 + 0. What is z in k(z) = 0?
-2, -1, 0
Let q(n) be the third derivative of 0*n + 1/6*n**4 + 7/60*n**6 + 0 - 3/10*n**5 - 10*n**2 + 0*n**3. Factor q(d).
2*d*(d - 1)*(7*d - 2)
Let g(b) = -12*b - 19. Suppose 4*v - v - 2*l + 12 = 0, 4 = v + 2*l. Let d be g(v). Suppose -1/2*x**4 + 1/2*x**3 + 0*x + 1/2*x**2 - 1/2*x**d + 0 = 0. What is x?
-1, 0, 1
Factor 11/2*v + 10 + 1/4*v**2.
(v + 2)*(v + 20)/4
Let m(p) be the first derivative of p**6/8 - 9*p**4/8 - 2*p**3 - 9*p**2/8 + 177. Find o, given that m(o) = 0.
-1, 0, 3
Let v(b) be the first derivative of 6*b**5 + 185*b**4/4 + 130*b**3 + 150*b**2 + 40*b + 222. Suppose v(u) = 0. What is u?
-2, -1/6
Let m = 14659 - 131911/9. Solve 2/9*a**2 - m*a + 2 = 0 for a.
1, 9
Let j = 1906 - 7623/4. Factor 12*w + 16 + 3*w**2 + j*w**3.
(w + 4)**3/4
Let m(i) be the second derivative of 1/18*i**4 - 13*i - 1/9*i**3 - 2/3*i**2 + 0. Determine j so that m(j) = 0.
-1, 2
Let w(t) be the second derivative of 33*t + 27/2*t**3 + 3/20*t**5 + 9/4*t**4 + 81/2*t**2 + 0. Find b such that w(b) = 0.
-3
Let h(z) be the second derivative of -1/10*z**5 + 1/6*z**3 + 1/42*z**7 + 0*z**4 + 0*z**6 + 0*z**2 + 9*z + 0. Suppose h(i) = 0. What is i?
-1, 0, 1
Let h be -6 - ((-44)/36 + -5). Let z(x) be the first derivative of -h*x - 2/27*x**3 + 2/9*x**2 - 2. Factor z(w).
-2*(w - 1)**2/9
Let u = 221/25 + -111/25. Factor -16/3*l**3 + 32/15*l**4 + u*l**2 + 2/15 - 4/3*l.
2*(l - 1)**2*(4*l - 1)**2/15
Suppose 0 - 2 = -3*u + g, -u + 6 = g. Let m(h) = h**2 + 3*h + 3. Let v be m(-4). Factor -3*j**2 - 2*j**u - v*j**5 - 7*j**2 + 26*j**4 + 4*j**2 - 20*j**3.
-j**2*(j - 2)**2*(7*j + 2)
Let i = 124 - 113. Factor -i*o - 5*o + 22*o + 4*o**2 - 2*o.
4*o*(o + 1)
Let o(l) be the first derivative of l**6/30 + l**5/5 + 7*l**4/20 - l**3/15 - 4*l**2/5 - 4*l/5 + 221. Determine j so that o(j) = 0.
-2, -1, 1
Let f be (-685)/(-2475)*3 + 2/10. Let g = -4/33 + f. Suppose -4/11*x**2 + 0 + 0*x + g*x**3 = 0. What is x?
0, 2/5
Let h = 1039 - 1035. Suppose 0*x**h - 5*x**3 + 0 + 0*x**2 + 5/2*x + 5/2*x**5 = 0. Calculate x.
-1, 0, 1
Let x(n) = -6*n**2 + 56*n + 19. Let q(b) = -b**2 + 11*b + 4. Let o(r) = -11*q(r) + 2*x(r). Let f be o(-8). What is v in 0*v + 3*v**3 - 7/2*v**f + 1/2 = 0?
-1/3, 1/2, 1
Let c(y) be the first derivative of 1/12*y**6 + 7 + 0*y + 3/10*y**5 + 1/6*y**3 + 0*y**2 + 3/8*y**4. Factor c(m).
m**2*(m + 1)**3/2
Let x(l) be the third derivative of 18*l**2 + 0*l + 1/105*l**7 - 1/6*l**4 + 0 + 0*l**5 + 1/30*l**6 - 1/3*l**3. Find f such that x(f) = 0.
-1, 1
Let c(v) be the third derivative of -v**9/756 + 11*v**8/840 - 23*v**7/630 + v**6/30 - v**4/2 - 24*v**2. Let b(u) be the second derivative of c(u). Factor b(j).
-4*j*(j - 3)*(j - 1)*(5*j - 2)
Let a be (-126)/(-8) - 48/64. Suppose -3*n**4 + 0*n**4 + a*n**3 + 0*n**4 - 7*n**4 + 10*n**2 = 0. What is n?
-1/2, 0, 2
Let h(b) be the third derivative of -5/6*b**3 - 1/24*b**6 - 13*b**2 - 5/8*b**4 + 0 + 0*b - 1/4*b**5. Let h(v) = 0. Calculate v.
-1
Solve -5 + 348*c - 2427*c**2 - 3 + 8847*c**3 - 2619*c**2 + 15542*c**3 = 0.
2/29
Solve -18*g**3 + 19*g**3 - 92*g - 29*g**3 - 13*g**2 + 40 - 147*g**2 = 0 for g.
-5, -1, 2/7
Let j(g) be the second derivative of -g**5/45 + 4*g**4/27 - 2*g**3/9 - 2*g + 8. Determine y so that j(y) = 0.
0, 1, 3
Let d be (24/2)/((-24)/(-16)). Let p = 8 - d. Suppose -12/5*c**3 + p - 7/5*c**4 + 2/5*c - 3/5*c**2 = 0. What is c?
-1, 0, 2/7
Let z = -359 - -361. Suppose a = 4 + 1. Suppose -8*k**3 + 2*k**a + 4*k**z + 0*k**2 + 6*k + 33 - 37 = 0. What is k?
-2, -1, 1
Let j be (-2)/12*5816/(-12). Let c = 81 - j. What is l in 0 + 2/9*l**2 - c*l + 2/9*l**3 - 2/9*l**4 = 0?
-1, 0, 1
Let h(v) be the third derivative of -v**8/1344 + v**6/240 - v**4/96 + 106*v**2. What is f in h(f) = 0?
-1, 0, 1
Let h(k) be the third derivative of k**5/270 - 19*k**4/36 + 110*k**3/27 + 391*k**2. Factor h(i).
2*(i - 55)*(i - 2)/9
Factor -31*a - a + a**2 - 44 + a**2 + 10.
2*(a - 17)*(a + 1)
Let u(x) be the third derivative of -x**8/280 - x**7/420 + x**6/108 - x**5/180 - x**3/6 + 8*x**2. Let g(t) be the first derivative of u(t). Factor g(i).
-2*i*(i + 1)*(3*i - 1)**2/3
Suppose -4*g - 5*b = -32, 4 = -4*g - 0*g + 4*b. Factor -67 - 16*v**2 + g - 32*v + 12*v**2.
-4*(v + 4)**2
Let c be 6/(-24)*4*-3. Let f(u) be the second derivative of 1/4*u**c - 1/4*u**5 - 3/28*u**7 + 1/4*u**4 - 7/20*u**6 + 0 - u - 1/4*u**2. Factor f(j).
-(j + 1)**3*(3*j - 1)**2/2
Let v be (-24 + 0)*(-10)/15. Factor 64*b**3 + 15*b**2 + v - 21*b - 67*b**3 - 7.
-3*(b - 3)*(b - 1)**2
Let q = 13 - 9. Let a be (q - 7/((-7)/(-3)))*0. Solve 2/9*m**2 - 2/9*m**4 + a*m + 0*m**3 + 0 = 0 for m.
-1, 0, 1
Let l(t) be the second derivative of t**7/84 + t**6/16 + t**5/12 + 19*t**2/2 + 3*t. Let g(h) be the first derivative of l(h). Factor g(p).
5*p**2*(p + 1)*(p + 2)/2
Let c(q) be the third derivative of q**7/70 - 7*q**6/40 - 3*q**5/20 + 19*q**4/8 + 7*q**3 + 76*q**2 + q. Factor c(a).
3*(a - 7)*(a - 2)*(a + 1)**2
Let m(z) be the first derivative of -76/15*z**3 - 64/25*z**5 + 4 + 5*z**4 + 14/5*z**2 + 8/15*z**6 - 4/5*z. Factor m(j).
4*(j - 1)**3*(2*j 