**4/48 + z**3/6 + 164*z**2. Factor h(w).
-(w - 1)*(w + 1)*(w + 2)/2
Suppose -28 = -4*z + 5*y, -2*y - 16 = -4*z - 0*y. What is q in -z*q**3 - 2*q**3 - 5*q**4 + q**4 = 0?
-1, 0
Determine z so that 50/9 - 1/9*z**3 - 8/9*z**2 - 5/9*z = 0.
-5, 2
Let t(f) = -3*f - 3. Let g be t(-2). Factor 7*p**3 + 5*p**g - 10*p**3 + 2*p**2.
2*p**2*(p + 1)
Suppose 18 = 3*v - 3*k, -v - 2*k - 3 = -12. Solve -v*w + 0*w**4 + 12*w + 5*w**4 - 5*w**2 - 5*w**3 = 0.
-1, 0, 1
Let o be (-8 - -4)*12/8 + 704/110. Solve 14/5*h**2 - o*h**5 - 18/5*h**3 + 2*h**4 - 4/5*h + 0 = 0.
0, 1, 2
Suppose 3*y - 10 = -2*y. Suppose 3*o - 2*a - y = 2*o, -4*o + a + 8 = 0. Factor -4*k - 13*k + 17*k - 2*k**o.
-2*k**2
Let o = 91 + 7. Suppose -o*t = -89*t - 27. Suppose 0 - 6/5*s**5 + 0*s - 2/5*s**t + 8/5*s**4 + 0*s**2 = 0. Calculate s.
0, 1/3, 1
Let u(m) be the second derivative of 5*m**7/42 - m**6/6 - m**5/2 + 5*m**4/6 + 5*m**3/6 - 5*m**2/2 - 88*m - 3. Factor u(w).
5*(w - 1)**3*(w + 1)**2
Let j be 0*(-1 + 6)/5. Suppose 3*c = -4*w - j*w - 12, c + 5*w = -15. Suppose 4/5*d**2 - 6/5*d**3 + 0 + c*d + 2/5*d**4 = 0. What is d?
0, 1, 2
Determine q, given that 7/2 + 15/2*q + q**2 = 0.
-7, -1/2
Let v be ((-23)/(-92))/(((-4)/20)/((-4)/10)). What is q in -v*q**2 - 1/4*q - 1/4*q**3 + 0 = 0?
-1, 0
Let g(b) be the third derivative of 5*b**8/336 - b**7/21 - b**6/8 + b**5/3 + 5*b**4/6 + 3*b**2 - 86*b. Factor g(u).
5*u*(u - 2)**2*(u + 1)**2
Let o(x) be the first derivative of -x**8/1512 - x**7/945 - 7*x**2/2 - 2*x - 21. Let s(l) be the second derivative of o(l). Factor s(z).
-2*z**4*(z + 1)/9
Let r(y) be the second derivative of 3*y**5/20 - y**4/2 - 3*y**3/2 + 60*y. Find o such that r(o) = 0.
-1, 0, 3
Let y(d) = d**2 - 2*d - 2. Suppose 5*k + 11 = -4. Let u be y(k). Let 4*x + 9*x - u*x + 48*x**3 + 12*x**2 + 21*x**4 = 0. What is x?
-2, -2/7, 0
Let o be 8 + (-3 - -3) + 0. Let i = 10 - o. Factor 3*q + 35*q**2 - 29*q**i + q**3 + 2*q**3.
3*q*(q + 1)**2
Suppose -3*c - 6 = -5*c. Let b(n) = -n**2 + 4*n. Let h be b(c). Determine t so that 15*t**h + 0*t**5 - 12*t**4 - t**2 + 3*t**5 - 5*t**2 = 0.
0, 1, 2
Let f(j) be the third derivative of -9*j**8/112 - 37*j**7/35 - 79*j**6/40 - 7*j**5/10 + 160*j**2. Let f(x) = 0. Calculate x.
-7, -1, -2/9, 0
Let s(o) = -40*o - 318. Let q be s(-8). Determine v, given that -9/7*v + 0 - 6/7*v**q - 1/7*v**3 = 0.
-3, 0
Let g(v) be the first derivative of -6*v**2 - 2*v**3 - 8*v - 1/4*v**4 + 16. Let g(z) = 0. What is z?
-2
Let n(s) be the third derivative of -1/12*s**4 + 0 + 0*s + 5*s**2 + 4/105*s**6 + 4/105*s**5 + 1/21*s**3. Solve n(x) = 0.
-1, 1/4
Let s(l) = -l**3 - 7*l**2 + 1. Let n be s(-7). Let f be n - (1 - 4) - 2. Let 8*a**2 - 8*a**4 + a**3 - f*a**3 + 3*a**4 - 6*a**3 + 4*a = 0. Calculate a.
-2, -2/5, 0, 1
Let l be ((-19082)/(-783) - 24)*(-6)/(-10). What is v in -l*v**2 + 0 - 8/9*v = 0?
-4, 0
Factor -50*h - 5*h**2 - 6*h**2 + 120 + 6*h**2.
-5*(h - 2)*(h + 12)
Let t(j) = -21*j**2 + 1135*j - 756. Let x(o) = 85*o**2 - 4540*o + 3025. Let i(k) = -25*t(k) - 6*x(k). Solve i(q) = 0 for q.
2/3, 75
Let a(m) = -m. Let t(k) = 30 + 31*k - 2*k + 5*k**2 - 59*k. Let b(r) = 5*a(r) - t(r). Factor b(u).
-5*(u - 3)*(u - 2)
Let j(l) be the third derivative of l**7/42 + l**6/4 - l**5/12 - 5*l**4/4 + l**2 + 16. What is f in j(f) = 0?
-6, -1, 0, 1
What is j in -6*j**2 - 7*j**5 + 3*j**2 - 5*j**4 + 8*j**5 - 3*j**2 + 7*j**3 + 3*j**2 = 0?
0, 1, 3
Let k = 27 + -31. Let y = 6 + k. Factor -15 - 24*q**3 - 2*q**5 + 15 + 4*q**y - 20*q**2 - 12*q**4.
-2*q**2*(q + 2)**3
Let d be 64/70 - 10/175. Let g(c) be the first derivative of 10 - 1/7*c**3 - d*c**2 - 12/7*c. Find m, given that g(m) = 0.
-2
Let q(r) be the second derivative of -r**8/448 + r**7/420 + r**6/480 - 10*r**2 + 13*r. Let d(k) be the first derivative of q(k). Factor d(m).
-m**3*(m - 1)*(3*m + 1)/4
Let t(a) be the third derivative of a**5/15 - 4*a**4/3 + 8*a**3 + 90*a**2. Determine i so that t(i) = 0.
2, 6
Let f(j) be the second derivative of j**5/50 + 8*j**4/5 + 256*j**3/5 + 4096*j**2/5 + 46*j. Determine n, given that f(n) = 0.
-16
Let r(l) be the first derivative of -5/12*l**3 + 0*l**2 + 5/16*l**4 + 0*l + 16. Factor r(p).
5*p**2*(p - 1)/4
Suppose b + 16 = 4*g, -5*b - 4 = -3*g + 2*g. Suppose g*o**4 + 8*o + 12 + 1925*o**2 - 4*o**3 - 4*o**3 - 1941*o**2 = 0. What is o?
-1, 1, 3
Let k = 4 + -1. Let o = -96765 - -290297/3. What is w in 1/9*w**4 + 1/9 - 4/9*w**k + o*w**2 - 4/9*w = 0?
1
Suppose -3*g + 3 = 0, 4*g + 2 = -0*f + 3*f. Let l be (-1)/f - 18/(-4). Find i such that -1/5*i**l - 6/5*i**2 + 4/5*i - 1/5 + 4/5*i**3 = 0.
1
Let b(s) be the third derivative of 1/600*s**6 + 0 - 1/300*s**5 - 1/120*s**4 + 0*s**3 + 0*s + 1/1050*s**7 - 16*s**2. Factor b(a).
a*(a - 1)*(a + 1)**2/5
Let j(u) = u**3 - 9*u**2 - 2*u + 20. Let w be j(9). Find o, given that o**w - 1/2*o - 1/2*o**3 + 0 = 0.
0, 1
Suppose -15*y + 7*y + 16 = 0. Let f be (-27)/(-45) + 12/5. Solve 0*j**2 + f*j**y + 13*j - 13*j = 0.
0
Factor -2*b**2 + 550 - 276 - 274.
-2*b**2
Let x = 62 + -35. Let k be (-12)/x*3*6/(-4). Suppose -3/5*y + 9/5*y**k - 6/5 = 0. What is y?
-2/3, 1
Suppose 128/5*w**2 - 12/5*w + 0 = 0. What is w?
0, 3/32
Let c = 41 - 33. Factor -39*n**4 + 3*n**2 + 8*n**3 - 7*n**5 + 6*n - 35*n**3 - c*n**5.
-3*n*(n + 1)**3*(5*n - 2)
Let a(k) be the third derivative of -1/175*k**7 + 1/840*k**8 - 16*k**2 + 1/15*k**3 + 1/75*k**5 + 0*k - 1/20*k**4 + 1/150*k**6 + 0. Factor a(y).
2*(y - 1)**4*(y + 1)/5
Factor -1/6*d**5 + 7/6*d**4 + 0 - 3*d**3 + 10/3*d**2 - 4/3*d.
-d*(d - 2)**3*(d - 1)/6
Let d(p) be the second derivative of -p**7/147 - p**6/105 + 3*p**5/70 + 5*p**4/42 + 2*p**3/21 + 3*p - 59. Factor d(q).
-2*q*(q - 2)*(q + 1)**3/7
Let v(z) = -4*z**3 + 6*z**2 - 10*z. Let m(l) = -l**3 + 2*l**2 - 3*l. Let p(g) = -10*g. Let y be p(-1). Let i(h) = y*m(h) - 3*v(h). Factor i(d).
2*d**2*(d + 1)
Let i(n) = -n**2 + 15*n + 3. Let d be i(12). Factor 0*a**5 + d*a - a**5 - 41*a + 5*a**4 - 9*a**3 + 12*a**2 - 5*a**2.
-a*(a - 2)*(a - 1)**3
Let u(a) be the third derivative of -a**5/15 - 83*a**4/6 - 231*a**2 + 1. Factor u(f).
-4*f*(f + 83)
Find c, given that 52/5*c + 2/5*c**2 + 338/5 = 0.
-13
Let c(f) = -19*f**4 - 36*f**3 - 60*f**2 - 23*f - 5. Let s(r) = 27*r**4 + 54*r**3 + 90*r**2 + 35*r + 7. Let d(v) = 7*c(v) + 5*s(v). Factor d(t).
2*t*(t + 1)**2*(t + 7)
Let u be 4 + 152/(-36) + 58/18. Suppose 4*o - 6 = o. Find w such that w**3 + u*w + 0*w**3 - 4*w**3 - 6*w**4 + 6*w**o = 0.
-1, -1/2, 0, 1
Find b such that -48/7 + 2/7*b**2 + 20/7*b = 0.
-12, 2
Factor 2/7*g**2 - 36/7 - 6/7*g.
2*(g - 6)*(g + 3)/7
Let g(t) be the second derivative of -t**7/63 - 7*t**6/45 - 3*t**5/5 - 10*t**4/9 - 8*t**3/9 - 4*t - 4. Suppose g(a) = 0. Calculate a.
-2, -1, 0
Let q = -12 + 16. Factor 45*y**5 + 6*y**2 - 15*y**3 + 8*y**4 + 4*y**q - 48*y**5.
-3*y**2*(y - 2)*(y - 1)**2
Let l(v) be the third derivative of v**8/3780 - v**7/1260 - v**6/540 - 2*v**5/15 + 18*v**2. Let p(y) be the third derivative of l(y). Solve p(i) = 0.
-1/4, 1
Let t(j) be the first derivative of -3*j**5/20 - 3*j**4/4 - 3*j**3/2 - 3*j**2/2 + 37*j + 14. Let r(k) be the first derivative of t(k). Factor r(b).
-3*(b + 1)**3
Let l(y) be the first derivative of y**5/30 + 5*y**4/6 + 3*y**3 - 10*y**2 - 30. Let k(u) be the second derivative of l(u). Factor k(r).
2*(r + 1)*(r + 9)
Suppose 7*v - 20 = -z + 4*v, -5*v + 5 = -4*z. Let k be 174/105 - 4/z. What is i in -3/7*i + 39/7*i**3 + 30/7*i**4 + k*i**2 + 0 = 0?
-1, -1/2, 0, 1/5
Let z be 16/6*3/2. Determine p, given that -14*p**3 - p**3 - 3*p**5 - 6*p**2 - 19*p**z + 7*p**4 = 0.
-2, -1, 0
Let j(y) be the first derivative of y**6/180 + 7*y**5/45 + 49*y**4/36 + 8*y**2 + 15. Let a(b) be the second derivative of j(b). What is s in a(s) = 0?
-7, 0
Let p = 181 - 161. Suppose -5*x - 10 + p = 0. Suppose 12 + 5082*j**4 + 3993/2*j**5 + 8745/2*j**3 + 222*j + 1497*j**x = 0. What is j?
-1, -2/11
Let 0*c**2 - 81/5*c**4 + 0 + 0*c + 84/5*c**3 - 3/5*c**5 = 0. Calculate c.
-28, 0, 1
Find n, given that -18/11*n**2 + 2/11*n**4 + 10/11*n + 6/11*n**3 + 0 = 0.
-5, 0, 1
Let y(j) be the first derivative of -2*j**3/27 - 8*j**2/3 + 143. Factor y(h).
-2*h*(h + 24)/9
Suppose -2*r = 2*i + 182, i - r = 13 - 104. Let y = -636/7 - i. Factor y*x**2 + 0 + 1/7*x**5 + 0*x + 3/7*x**3 + 3/7*x**4.
x**2*(x + 1)**3/7
Let m(r) = -4*r**2 + 266*r - 4636. Let l(u) = -u - 2. Let y(g) = 6*l(g) - m(g). Factor y(b).
4*(b -