*5 - 3/4*z + 1/2*z**2.
-(z - 2)*(z - 1)*(z + 1)**3/4
Let m(c) = 10*c**4 - 6*c**3 - 8*c**2 + 6*c. Let f(j) = 6*j**2 + 27*j**2 + 11*j**3 - 11*j - 1 - 21*j**4 - 16*j**2. Let i(v) = 2*f(v) + 5*m(v). Factor i(l).
2*(l - 1)*(l + 1)*(2*l - 1)**2
Let j(b) = 26*b**3 - 98*b**2 + 251*b + 11. Let t(u) = -5*u**3 + 20*u**2 - 50*u - 2. Let p(i) = -2*j(i) - 11*t(i). Suppose p(c) = 0. Calculate c.
0, 4
Let k be (46/12 - 4)/(4/(-6)). Let i(v) be the first derivative of -k*v - 1/2*v**3 - 1/2*v**2 - 1/4*v**4 - 1/20*v**5 + 4. Determine b, given that i(b) = 0.
-1
Let b(h) = 2*h**2 - 8*h - 3. Let z(f) = 6 + 4 - 18*f**2 + 25*f + 13*f**2. Let y(n) = -10*b(n) - 3*z(n). Determine x, given that y(x) = 0.
0, 1
Let j be 3 - 5/(-25)*5. Let l(u) be the third derivative of 0*u - 1/105*u**5 - 5/84*u**4 - 1/7*u**3 + 0 + j*u**2. What is t in l(t) = 0?
-3/2, -1
Let m(d) be the third derivative of d**8/26880 + d**7/5040 - d**6/960 + d**4/12 - 7*d**2. Let t(z) be the second derivative of m(z). Find f such that t(f) = 0.
-3, 0, 1
Let s(p) = 4*p**2 + 4*p + 1 + 1 + 2*p**2 - 4*p**2. Let n be s(-2). Factor 1 + m - 1 - 6*m**n + 3*m.
-2*m*(3*m - 2)
Let v(y) = -9*y**4 - 10*y**3 - 5*y**2 + 10*y. Let i(f) = -8*f**4 - 8*f**3 - 4*f**2 + 8*f. Let c(z) = -7*i(z) + 6*v(z). Factor c(j).
2*j*(j - 2)*(j - 1)*(j + 1)
Find j such that -3*j**4 + 3*j - 1937*j**3 - 31*j + 1955*j**3 - 2*j - 9*j**2 = 0.
-1, 0, 2, 5
What is a in -a**2 + 1/2*a + 1/2*a**3 + 0 = 0?
0, 1
Let g(s) be the third derivative of s**6/40 + 3*s**5/20 - 2*s**2 - 13. What is w in g(w) = 0?
-3, 0
Let p(k) be the third derivative of -1/15*k**5 + 14*k**2 + 0*k + 1/120*k**6 + 0 + 0*k**3 + 1/8*k**4. Factor p(q).
q*(q - 3)*(q - 1)
Let s(k) be the third derivative of k**5/420 - 9*k**4/14 + 486*k**3/7 - 6*k**2. Factor s(j).
(j - 54)**2/7
Factor -2*z**2 - z**2 + 188*z - 42 + 310 - 50*z + 5*z**2.
2*(z + 2)*(z + 67)
Let q(a) be the first derivative of -a**6/24 - 3*a**5/20 + a**3/3 - 159. What is f in q(f) = 0?
-2, 0, 1
Let d(q) = 5*q**4 + 19*q**3 + 21*q**2 + 9*q + 4. Let j(i) = 26*i**4 + 97*i**3 + 105*i**2 + 45*i + 22. Let w(n) = 11*d(n) - 2*j(n). Find b, given that w(b) = 0.
-3, -1, 0
Determine a so that 7*a - 35 - 7*a + 5*a**2 + 170 - 140*a = 0.
1, 27
Factor 68 - 2*s**3 + 8*s + 10*s**2 + 0*s - 108.
-2*(s - 5)*(s - 2)*(s + 2)
Let o(y) = y**3 - 35*y**2 + 174*y + 2. Let d be o(29). Let v(h) be the second derivative of -8*h - 7/6*h**3 + 0 + 1/4*h**4 + h**d. Factor v(b).
(b - 2)*(3*b - 1)
Let y(z) be the first derivative of -3*z**5/10 + 9*z**4/4 - 5*z**3/2 - 276. Determine a, given that y(a) = 0.
0, 1, 5
Suppose 3*i - 3 = -u, 15 = -2*i - i + 5*u. Determine s, given that i - 4/3*s**3 + 8/3*s - 4/3*s**2 = 0.
-2, 0, 1
Let z be (-1)/(54/(-16) - 117/(-936)). Factor -6/13*m**2 + 2/13*m**4 - z - 2/13*m**3 + 10/13*m.
2*(m - 1)**3*(m + 2)/13
Let b be 7/(21/152) - -3. Let d = b + -53. Solve 1/3*q**2 - 1/3*q - d = 0 for q.
-1, 2
Let u(s) = s**3 + s**2 - 9*s + 7. Let l be u(1). Factor 1/2*w**2 + 1/2*w + l.
w*(w + 1)/2
Let r be (-2)/10 + (-1)/(-5). Let z(d) be the third derivative of -1/525*d**7 + 5*d**2 + 0*d**3 + 0*d**4 + r - 1/150*d**5 - 1/150*d**6 + 0*d. Factor z(u).
-2*u**2*(u + 1)**2/5
Let q(s) be the first derivative of -s**6/270 + s**5/135 + s**4/54 - 2*s**3/27 - 8*s**2 - 5. Let w(v) be the second derivative of q(v). Factor w(t).
-4*(t - 1)**2*(t + 1)/9
Let t(o) be the second derivative of -o**6/6 + 23*o**5/2 - 955*o**4/4 + 2530*o**3/3 - 1210*o**2 + 192*o. Factor t(m).
-5*(m - 22)**2*(m - 1)**2
Let p(x) = -x**3 + 3*x**2 + x + 1. Let d be p(3). Suppose g - 4*o = -3*g, -d*g + o = -12. Determine j so that g*j**4 + 3*j**4 + 3*j**4 - 3*j**2 - 7*j**4 = 0.
-1, 0, 1
Factor -8 + 8/3*r + 2/3*r**2.
2*(r - 2)*(r + 6)/3
Let a(p) be the third derivative of -p**7/210 - p**6/40 + p**5/12 + p**4/8 - 2*p**3/3 + 6*p**2 + 3*p. Factor a(w).
-(w - 1)**2*(w + 1)*(w + 4)
Factor 26/3*q**2 + 1/3*q**4 - 16/3*q + 0 - 11/3*q**3.
q*(q - 8)*(q - 2)*(q - 1)/3
Let l(y) be the third derivative of y**6/420 - y**5/105 - y**4/28 + 2*y**2 + 5*y. Find x such that l(x) = 0.
-1, 0, 3
Suppose 5*f + 37*f = 84. Solve 4*g - 1/2*g**f - 8 = 0 for g.
4
Let y(f) be the first derivative of -3*f**5/20 + 3*f**4/8 - 3*f**2/4 + 3*f/4 - 195. Suppose y(z) = 0. What is z?
-1, 1
Solve 3/5*z**3 + 6/5*z - 3*z**2 + 24/5 = 0.
-1, 2, 4
Find b, given that 28/11*b**2 + 0 + 0*b + 2/11*b**3 = 0.
-14, 0
Let j(p) be the first derivative of 4*p**5 + 22*p**4 + 92*p**3/3 + 12*p**2 + 92. Factor j(q).
4*q*(q + 1)*(q + 3)*(5*q + 2)
Let a(f) = -f**2. Let w = 26 - 30. Let k(s) = 7*s**2 + 3*s - 6. Let g(d) = w*a(d) - k(d). What is y in g(y) = 0?
-2, 1
Suppose j - 8 = 2*j - 4*d, 0 = 2*j - d + 2. Let f be -1 + 1 - (-705)/235. Factor -2/11*n**f + j + 6/11*n**2 - 4/11*n.
-2*n*(n - 2)*(n - 1)/11
Let y be (-4)/(-8) + (-91)/(-210). Let p = y - 1/10. Find u, given that 0 + p*u**2 + 1/6*u**4 - 2/3*u**3 - 1/3*u = 0.
0, 1, 2
Solve -37/4*u - 11/4*u**3 + 1/4*u**4 + 33/4*u**2 + 7/2 = 0.
1, 2, 7
Let t = -1/1159 - -2323/5795. Factor 0*g**3 + 2/5 + t*g**4 + 0*g - 4/5*g**2.
2*(g - 1)**2*(g + 1)**2/5
Let d be (-9 - -8)/((-4578)/(-1536) + (-2 - 1)). Factor 64/5*s + d + 4/5*s**2.
4*(s + 8)**2/5
Let o(x) be the third derivative of x**7/210 + x**6/20 - x**5/20 - 2*x**4/3 + 2*x**3 + 69*x**2. Suppose o(a) = 0. Calculate a.
-6, -2, 1
Let a be (24/2100*-7)/((-10)/200). Factor 12/5*o + 1/5*o**3 - a - 6/5*o**2.
(o - 2)**3/5
Factor 1/3*r**2 + 676/3 - 52/3*r.
(r - 26)**2/3
Factor 4/5*o**3 - 28/5*o - 24/5 + 0*o**2.
4*(o - 3)*(o + 1)*(o + 2)/5
Let o(b) = 73*b**5 - 208*b**4 - 351*b**3 - 42*b**2 + 26*b - 4. Let w(z) = -z**5 + z**4 + z - 2. Let u(t) = -o(t) + 2*w(t). Find k, given that u(k) = 0.
-1, -2/5, 0, 1/5, 4
Let d(r) = 21*r**3 - 14*r**2 - 4*r. Let z(q) = 155*q**2 - 230*q**3 + 6*q + 3*q + 36*q. Let j(m) = -45*d(m) - 4*z(m). Suppose j(x) = 0. Calculate x.
0, 2/5
Factor 2/7*y**4 + 0*y**2 + 0*y + 1/7*y**5 + 1/7*y**3 + 0.
y**3*(y + 1)**2/7
Let q(d) be the second derivative of d**6/15 - 4*d**5/5 + 7*d**4/2 - 6*d**3 - 61*d - 2. Find g such that q(g) = 0.
0, 2, 3
Factor -9*k**2 + 10*k + 25*k**4 + 29*k**2 + 17*k - 13*k - 65*k**3 + 6*k.
5*k*(k - 2)*(k - 1)*(5*k + 2)
Suppose -5*o = 4*w + 46 - 56, 5*w = 4*o + 33. Find h such that 0*h - 1/4*h**w - 1/2*h**2 + 0 + 3/4*h**3 + 0*h**4 = 0.
-2, 0, 1
Let k(a) be the first derivative of -a**6/30 - 4*a**5/25 + 3*a**4/10 + 4*a**3/15 - a**2/2 + 166. What is s in k(s) = 0?
-5, -1, 0, 1
Let f(c) be the third derivative of 3*c**2 + 1/9*c**4 + 0 + 0*c**5 + 0*c**3 - 1/180*c**6 + 0*c. Determine m so that f(m) = 0.
-2, 0, 2
Solve 6/5*s - 3/10*s**5 - 13/2*s**2 + 7/10*s**3 + 18/5 + 13/10*s**4 = 0 for s.
-2, -2/3, 1, 3
Let y(b) be the first derivative of 1/30*b**5 - 5 + 1/12*b**2 - 1/24*b**4 - 1/18*b**3 + 0*b. Determine v so that y(v) = 0.
-1, 0, 1
Let j(z) = -23*z**3 - 2333*z**2 - 91221*z - 88943. Let a(h) = 8*h**3 + 778*h**2 + 30406*h + 29648. Let y(t) = -8*a(t) - 3*j(t). Factor y(l).
5*(l + 1)*(l + 77)**2
What is y in 2018*y**3 - y**5 - 6*y**4 - 19*y**4 + 361*y**2 - 2341*y**3 - 12*y**4 = 0?
-19, 0, 1
Let v(k) be the first derivative of k**8/280 - k**7/420 - k**6/15 + k**5/15 + 43*k**3/3 - 5. Let r(u) be the third derivative of v(u). What is g in r(g) = 0?
-2, 0, 1/3, 2
Let l = -537/4 - -269/2. Let l - 3/4*s - s**2 = 0. Calculate s.
-1, 1/4
Let n = 532 + -260. Let c be n/260 - (-6)/39. Solve -3/5*m**2 + 0 - 3/5*m**4 + 0*m + c*m**3 = 0.
0, 1
Let s(q) be the first derivative of q**6/10 - 21*q**5/25 + 27*q**4/10 - 4*q**3 + 12*q**2/5 - 24. Factor s(y).
3*y*(y - 2)**3*(y - 1)/5
Factor 392/5 - 56/5*d + 2/5*d**2.
2*(d - 14)**2/5
Let l(t) be the second derivative of 2*t**7/21 - 14*t**6/5 + 102*t**5/5 - 190*t**4/3 + 102*t**3 - 90*t**2 + 259*t. Find m such that l(m) = 0.
1, 3, 15
Let y(h) = -15*h**2 + 52*h + 26. Suppose -3*n - 4 = -10. Let j(r) = -15*r**2 + 51*r + 27. Let z(a) = n*j(a) - 3*y(a). Suppose z(l) = 0. Calculate l.
-2/5, 4
Suppose 60 = -20*a + 40*a. Let t(i) be the second derivative of 0 + 7/6*i**a + 5*i + 3/2*i**2 + 5/12*i**4 + 1/20*i**5. Factor t(d).
(d + 1)**2*(d + 3)
Let c(m) be the second derivative of -m**10/10080 - m**9/1260 - m**8/560 + 5*m**4/12 - 38*m. Let j(v) be the third derivative of c(v). Factor j(p).
-3*p**3*(p + 2)**2
Let r(g) = 4*g**2 - 7*g + 17. Let k be r(5). Let i = -242/3 + k. What is v in 2/3*v**5 + 2*v**4 - i*v +