s m?
0, 1/3, 3
Find u, given that 51*u - 28 - 4 - 22 + 8*u**2 - 7*u**2 + 2 = 0.
-52, 1
Let v be -3*(-4)/(-5)*25/(-30). Let s(j) be the second derivative of 0*j**3 - j - 1/14*j**7 + 0*j**v + 3/20*j**5 - 1/10*j**6 + 1/4*j**4 + 0. Factor s(i).
-3*i**2*(i - 1)*(i + 1)**2
Let t be 5/(-15) + (-1 - -4). Let x(i) be the first derivative of -3 + i**3 - 4/3*i + t*i**2. Find w, given that x(w) = 0.
-2, 2/9
Let x(p) be the third derivative of -3*p**5/10 + 17*p**4/6 + 8*p**3/3 - 47*p**2. Factor x(t).
-2*(t - 4)*(9*t + 2)
Let k(b) be the second derivative of b**7/210 - b**6/75 + b**5/100 + 133*b. Factor k(j).
j**3*(j - 1)**2/5
Factor -24/5 + 2/5*f**2 - 22/5*f.
2*(f - 12)*(f + 1)/5
Suppose -18*x**3 - 54*x - 2*x**4 - 24*x**2 - 26*x**2 - 452 + 432 = 0. What is x?
-5, -2, -1
Suppose -1/6*c**3 - 1/3*c**2 - 5/3 + 13/6*c = 0. Calculate c.
-5, 1, 2
Let y(k) = -3*k**2 + 26*k + 9. Let r(c) = 2*c**2 - 14*c - 4. Let w(v) = -10*r(v) - 6*y(v). Suppose w(h) = 0. Calculate h.
-7, -1
Let q(z) be the second derivative of 1/273*z**7 + 0 - 21*z - 2/39*z**3 + 0*z**2 - 3/130*z**5 + 1/195*z**6 - 5/78*z**4. Factor q(m).
2*m*(m - 2)*(m + 1)**3/13
Let j(z) be the second derivative of z**6/10 + 15*z**5/4 + 23*z**4/4 - 25*z**3/2 - 36*z**2 + z - 155. Factor j(f).
3*(f - 1)*(f + 1)**2*(f + 24)
Let x be (-248)/(-20) + (-3 - 9). Find j such that 0*j + 0 + x*j**2 + 9/5*j**3 = 0.
-2/9, 0
Let s = -157 + 302. Factor -76*h - 105 + 4*h**2 - 12*h**2 + s.
-4*(h + 10)*(2*h - 1)
Let g = 18 - 19. Let k(w) = -w**5 + w**3 + w**2 - w - 1. Let y(l) = -5*l**4 + 5*l + 5. Let s(a) = g*y(a) - 5*k(a). Solve s(z) = 0 for z.
-1, 0, 1
Let v(y) be the second derivative of y**5/70 - 2*y**4/21 - 11*y**3/21 - 6*y**2/7 + 6*y - 3. Factor v(a).
2*(a - 6)*(a + 1)**2/7
Let y(l) = 3*l**2 - 5*l + 4. Let x be 8/(-40) - 11/(-5). Let o be y(x). Factor -6 + o*h**4 - 3*h**4 + 0*h - 9*h**3 + 9*h + 3*h**2.
3*(h - 2)*(h - 1)**2*(h + 1)
Let x be 136/7 + (24/42 - 1). Factor 40*o - 4*o**2 - x*o**3 - 3*o**2 + 25*o**4 - 11*o**3 - 13*o**2 - 5*o**5.
-5*o*(o - 2)**3*(o + 1)
Let m(y) = 3*y**4 + 341*y**3 + 9403*y**2 + 5. Let t(p) = 3*p**4 + 340*p**3 + 9404*p**2 + 4. Let g(r) = 4*m(r) - 5*t(r). Factor g(f).
-3*f**2*(f + 56)**2
Let o = -102/2641 + -512026/145255. Let n = 48/11 + o. Solve -2/5*y**3 - 2*y - n - 8/5*y**2 = 0.
-2, -1
Let z = -2854/2093 + 132/91. Solve 2/23 - 2/23*f**2 - z*f + 2/23*f**3 = 0.
-1, 1
Let u be 5/(-3)*(-36)/10. Let x(h) be the third derivative of 0 + 0*h**5 + 0*h**3 - 1/30*h**u - 14*h**2 + 0*h + 0*h**4. Factor x(t).
-4*t**3
Let z be (-22)/55 - (-18)/(-5). Let j be 9/(-12)*z/6*4. Factor 8/3*c + 2/3*c**j + 8/3.
2*(c + 2)**2/3
Let u(l) be the second derivative of -l**6/120 + l**5/20 - l**4/12 + 11*l**2/2 - 3*l. Let c(x) be the first derivative of u(x). Factor c(b).
-b*(b - 2)*(b - 1)
Let g(p) be the third derivative of -p**5/5 - p**4/6 + 112*p**2. Determine o, given that g(o) = 0.
-1/3, 0
Let k(a) be the second derivative of 14*a - 25/36*a**3 + 5/24*a**5 - 5/3*a**2 + 5/24*a**4 - 1 + 1/36*a**6. Factor k(t).
5*(t - 1)*(t + 1)**2*(t + 4)/6
Suppose o = b - 2*b + 1, -32 = -5*o + 4*b. Suppose -7 - 8 = -5*l. Suppose 0*u**2 - 2*u**2 + 0*u**2 + o*u**l - u**4 - u**4 = 0. What is u?
0, 1
What is u in -90*u - 5*u**2 - 50*u - 5*u = 0?
-29, 0
Let u(y) be the second derivative of y**4/42 + 4*y**3/3 + 28*y**2 + y + 2. Find f such that u(f) = 0.
-14
Let s be ((-2)/4 - 1)*(-3 - (-114)/42). Factor -3/7*k**3 + 0*k + 0 - s*k**2.
-3*k**2*(k + 1)/7
Let r(j) be the third derivative of 121*j**8/1344 - 11*j**7/120 - 373*j**6/120 - 133*j**5/60 - j**4/2 - j**2 + 192*j. Determine s, given that r(s) = 0.
-3, -2/11, 0, 4
Let q = 4510 + -18037/4. Let 1/4*c**3 + 3/4*c + 1/4 + q*c**2 = 0. Calculate c.
-1
Let c(k) be the first derivative of k**5 + 35*k**4/2 + 115*k**3 + 340*k**2 + 400*k + 149. Solve c(i) = 0.
-5, -4, -1
Let u(f) = -2*f**5 + 6*f**4 + 18*f**3 + 16*f**2. Let w(y) = y**4 + y**3 - y. Let j(p) = u(p) - 6*w(p). Solve j(z) = 0.
-1, 0, 3
Let j(w) = 291*w + 2. Let z be j(0). Factor 2/7*c**z + 0 - 2/21*c.
2*c*(3*c - 1)/21
Determine h, given that -1/4*h**4 + 7/4*h**3 + 0 + 0*h + 0*h**2 = 0.
0, 7
Let x(m) be the third derivative of -m**7/42 - 92*m**2 + 2. Factor x(k).
-5*k**4
Let s(d) = 10*d**4 - 54*d**3 + 108*d**2 - 92*d + 26. Let i(r) = 11*r**4 - 55*r**3 + 108*r**2 - 92*r + 25. Let m(w) = -2*i(w) + 3*s(w). Factor m(c).
4*(c - 1)**3*(2*c - 7)
Let n(b) be the third derivative of -b**7/17640 - b**6/1260 - b**5/210 + 19*b**4/24 - 18*b**2. Let o(s) be the second derivative of n(s). Factor o(i).
-(i + 2)**2/7
Let j(s) = s**4 - 1. Let u(h) = -3*h**4 - 3*h**3 - 5*h**2 + 3*h + 8. Let p(q) = -35*j(q) - 5*u(q). Let p(g) = 0. Calculate g.
-1, -1/4, 1
Let l be -7 + (-39 - -50 - 4/1). Factor l + 9/5*j**3 - 3/5*j**4 - 6/5*j**2 + 0*j.
-3*j**2*(j - 2)*(j - 1)/5
Factor 28*p**2 + 18*p + 4*p**3 + 20*p - 5*p**3 - 9*p.
-p*(p - 29)*(p + 1)
Let c(k) be the third derivative of 0*k - 1/15*k**7 - 5/252*k**8 + 0*k**6 + 0 - 21*k**2 + 0*k**3 + 2/45*k**5 + 0*k**4. Find q such that c(q) = 0.
-2, -1/2, 0, 2/5
Let l = 4 + -6. Let u be -4*(-3)/6 + l. Determine s so that -s**3 + u + 0*s**3 + s**2 + 0 = 0.
0, 1
Factor -961*v**2 + 931*v**2 + 7*v**3 + 40*v - 2*v**3.
5*v*(v - 4)*(v - 2)
Let n be (5 - (-450)/10)*(0 + -2). Let x be 4/(-16) - 105/n. Let 0 - 24/5*f**5 + 12*f**3 + 6*f**2 + x*f + 2*f**4 = 0. Calculate f.
-1, -1/3, -1/4, 0, 2
Let t(d) be the first derivative of -4/9*d + 1/9*d**2 + 22 - 1/18*d**4 + 4/27*d**3. What is l in t(l) = 0?
-1, 1, 2
Let z(w) be the second derivative of -w**4/12 - 83*w**3/6 - 5*w + 75. Factor z(f).
-f*(f + 83)
Let z(u) be the second derivative of 0 - 1/6*u**4 - 1/10*u**5 + 25*u + 0*u**2 + 2/3*u**3. Factor z(c).
-2*c*(c - 1)*(c + 2)
Let q be (8/10)/((-2)/(-20)). Let r be 11/(-33)*(1*-10 + 1). What is g in -q*g**r + 13*g**3 - g**5 - 4*g**5 = 0?
-1, 0, 1
Let t(j) be the third derivative of j**6/160 - 3*j**5/20 + 41*j**4/32 - 15*j**3/4 - 114*j**2 + 2. Solve t(i) = 0.
1, 5, 6
Let f be ((-23)/4)/((-52)/416). Let c(j) be the first derivative of 5 - f*j**2 - 637/4*j**4 + 126*j**3 + 343/5*j**5 + 8*j. Factor c(x).
(x - 1)*(7*x - 2)**3
Let o = -23 + 21. Let f be (12/8 + -3)*o. Suppose -3*n - 6*n**2 + 3 - 5*n**3 + 5*n**3 + 6*n**3 + f*n**4 - 3*n**5 = 0. Calculate n.
-1, 1
Let z(o) be the first derivative of -3*o**5/40 + 27*o**4/32 - 3*o**3 + 15*o**2/4 - 112. Factor z(h).
-3*h*(h - 5)*(h - 2)**2/8
Let z = -22 - -26. Factor 2*n**2 - 28*n - z*n**2 - 24 + 0 - 2*n**2.
-4*(n + 1)*(n + 6)
Let i be ((16/(-3))/16)/(-10). Let l(q) be the third derivative of -1/18*q**4 - 1/180*q**6 + 0 + 0*q**3 + 0*q - 11*q**2 + i*q**5. Factor l(n).
-2*n*(n - 2)*(n - 1)/3
Let j be (-2)/(-30)*-87 - (8 - 14). Suppose j*y + 0 - 1/5*y**2 = 0. What is y?
0, 1
Suppose -5*t - 11 = 4*s - 32, -4*s + 1 = t. Let i(z) be the third derivative of -2*z**4 + 0*z - 3*z**3 - t*z**2 + 0 - 8/15*z**5. Solve i(u) = 0 for u.
-3/4
Let z = -168 + 172. Let f be -5*z/12 + 3. Let f*j**2 + 4/3 - 8/3*j = 0. What is j?
1
Let r be (3 - 1146/465) + (-70)/(-1085). Factor 0 + r*m**2 + 0*m.
3*m**2/5
Let p(o) be the second derivative of 7*o**6/30 - 8*o**5/5 + 263*o**4/84 - 50*o**3/21 + 6*o**2/7 + 188*o. Suppose p(v) = 0. What is v?
2/7, 1, 3
Let g be -7 + 21/(-28)*29/(-3)*1. Factor 0*o - 5/4*o**2 + 0 + g*o**3.
o**2*(o - 5)/4
Let r(n) be the third derivative of n**8/10080 + n**7/1260 + n**6/360 + n**5/15 + 8*n**2. Let d(v) be the third derivative of r(v). Solve d(z) = 0.
-1
Let u be (-1)/3 - 1647/(-4880). Let i(q) be the third derivative of 0*q - 3*q**2 + 0*q**3 + 0 + u*q**5 - 1/48*q**4 + 1/160*q**6. Solve i(w) = 0.
-1, 0, 2/3
Suppose 27*i - 14 = -4 + 44. Let c = -250 + 1754/7. What is v in -6/7*v**3 - 10/7*v**i + 2/7*v**5 + 0 - c*v + 2/7*v**4 = 0?
-1, 0, 2
Let r(b) be the third derivative of 0*b**6 + 1/105*b**5 + 1/2352*b**8 + 0*b**3 - 1/490*b**7 + 0 - 3*b**2 + 0*b + 0*b**4. Solve r(x) = 0 for x.
-1, 0, 2
Let v = 27/349 - -939/1396. Let 3/4*o**2 - 3/2 + v*o = 0. Calculate o.
-2, 1
Let y = -26 - -25. Let p be ((-27)/108)/(13/16 + y). Factor p*j**2 + 14/3*j**3 - 14/3*j - 4/3.
2*(j - 1)*(j + 1)*(7*j + 2)/3
Let v(l) be the third derivative of -l**7/350 + l**6/200 + l**5/50 + l**2 + 84. Suppose v(m) = 0. What is m?
-1, 0, 2
Let u(f) = 2*f. Let a be u(1). Suppose 3*q = i + 7, i + 16 - 33 = -3*q. Factor 0*k**3 + 0*k - 2/5 - 2/5*k**q +