2 + 8*z - 14. Factor y(q).
(q - 2)**4
Let d(n) = n**2 + n + 4. Let h be d(-2). Find l, given that 3*l + l**2 - 13 + h + 6 - 3*l**3 = 0.
-1, 1/3, 1
Factor d**2 + 1457*d**4 - 3*d**2 - 1409*d**4 + 183*d**3 - 34*d**2.
3*d**2*(d + 4)*(16*d - 3)
Let h(t) be the first derivative of t**6/21 - 4*t**5/35 - t**4/14 + 4*t**3/21 - 72. Suppose h(r) = 0. What is r?
-1, 0, 1, 2
Factor 5/4*m**3 + 0*m + 0 + 15*m**2.
5*m**2*(m + 12)/4
Let h(j) be the third derivative of -j**7/84 + 5*j**6/24 - 29*j**5/24 + 25*j**4/12 - 4*j**2 - 18*j. Factor h(n).
-5*n*(n - 5)*(n - 4)*(n - 1)/2
Let r(x) = -x**3 - 12*x**2 - 89. Let g be r(-13). Find t such that -5/2 - 65/2*t**2 - g*t**5 - 65*t**3 + 20*t + 160*t**4 = 0.
-1/2, 1/4, 1
Let y(v) be the third derivative of v**8/1008 - 11*v**7/210 + 4*v**6/45 - 41*v**2 + 1. Factor y(r).
r**3*(r - 32)*(r - 1)/3
Suppose -l + 5 = -12. Suppose 0 = 5*b - d - l, 3*b = d - 5*d + 24. Let 27/2*a**2 + 0 - 3*a - 18*a**3 + 15/2*a**b = 0. Calculate a.
0, 2/5, 1
Let r = -38 - -40. Let m be (3/(-6))/(5 - (-50)/(-8)). Factor -2/5*l**3 + 2/5 - m*l**r + 2/5*l.
-2*(l - 1)*(l + 1)**2/5
Let k(n) be the first derivative of -2*n**3/3 - 27*n**2 - 276. Factor k(i).
-2*i*(i + 27)
Suppose -8*m + 57 - 17 = 0. Suppose -3*p - p**4 - 8 + 2*p**m + 11*p**4 - 13*p - 2*p**2 + 14*p**3 + 0*p**2 = 0. What is p?
-2, -1, 1
Let d(l) be the second derivative of 3*l - 1/120*l**6 + 0*l**2 + 1/20*l**5 + 0*l**4 - 1/6*l**3 + 0. Let t(m) be the second derivative of d(m). Factor t(a).
-3*a*(a - 2)
Let d(o) = -o**2 - o + 14. Let c be d(-8). Let h be (36/c)/((-3)/14). Let -4*f - 13*f**2 - 11*f**4 + f**2 + 7*f**h - 12*f**3 = 0. What is f?
-1, 0
Suppose 2*l + 3*l = 15. Suppose -v**2 + 40*v**3 - v**2 - 42*v**l - v**5 + 3*v**5 + 2*v**4 = 0. What is v?
-1, 0, 1
Suppose -4*b + b + 2*c = 80, -c = -5*b - 145. Let f be ((-8)/b)/(0 + (-10)/(-25)). Solve -8/3 + 2*m + f*m**2 = 0.
-4, 1
Factor v**3 + 186 - v + v**3 - 186 - v**5.
-v*(v - 1)**2*(v + 1)**2
Suppose -279*v = -503*v. Factor 9/8*c**3 + 21/8*c**2 + 3/4*c + v.
3*c*(c + 2)*(3*c + 1)/8
Let w = -1365 - -1367. What is p in 5/3*p**w + 0*p - 1/3*p**4 - 4/3 + 0*p**3 = 0?
-2, -1, 1, 2
Suppose 10*l + 4 = -10*l + 44. Let -4/19*n**l + 0*n - 2/19*n**3 + 0 = 0. Calculate n.
-2, 0
Let w(j) be the first derivative of 2*j**6/15 - 4*j**5/25 - 27*j**4/5 + 108*j**3/5 - 108*j**2/5 - 249. Suppose w(c) = 0. What is c?
-6, 0, 1, 3
Let f(i) be the second derivative of 2*i**6/105 - i**5/7 + 40*i**3/21 - 32*i**2/7 - 100*i - 1. Suppose f(n) = 0. What is n?
-2, 1, 2, 4
Suppose -45*w**3 + 3*w**4 - 38*w**2 + 79*w**3 - 10*w**5 + 8 + 3*w**4 = 0. What is w?
-2, -2/5, 1
Let a be 32/14 - ((-69)/(-21) + -3). Factor -19*d**5 - d**4 - 2*d + 18*d**5 - 2*d**a + 3*d**3 + 3*d**2.
-d*(d - 1)**2*(d + 1)*(d + 2)
Factor 220*p**3 + 17*p**2 - 792*p + 968 - 184*p**3 + 2*p**4 + 57*p**2.
2*(p - 2)**2*(p + 11)**2
Find a such that 24*a**4 + 3*a**5 - 5*a**2 + 16*a**3 + 33*a**2 + 20*a**2 + 41*a**3 - 12*a**2 = 0.
-4, -3, -1, 0
Let g(m) be the second derivative of -m**6/10 - 9*m**5/20 + 7*m**4/4 + 15*m**3/2 - 27*m**2 - 48*m + 1. Factor g(y).
-3*(y - 2)*(y - 1)*(y + 3)**2
Let g(s) be the first derivative of s**6/45 - 4*s**5/75 + 4*s**3/45 - s**2/15 - 34. What is j in g(j) = 0?
-1, 0, 1
Factor 2/5*i**4 + 6*i**3 + 0 + 72/5*i**2 + 0*i.
2*i**2*(i + 3)*(i + 12)/5
Let x(l) = 6*l**2 - 8*l + 12. Let t(w) = 104*w**2 - 50*w**2 - w - 53*w**2. Let j(h) = 21*t(h) - 3*x(h). Factor j(m).
3*(m - 3)*(m + 4)
Let q = -11681/4 + 2921. Let 0 + 3/4*i**4 + 3/2*i**3 + 0*i + 0*i**2 - q*i**5 = 0. Calculate i.
-1, 0, 2
Let m(t) = -t**5 - 5*t**4 + 12*t**2 - 8*t. Let d(g) = g**5 + g**4 - g**3. Let o(p) = 2*d(p) + m(p). Let o(l) = 0. What is l?
-2, 0, 1, 2
Let w(u) be the second derivative of u**5/140 - 5*u**4/42 - 4*u**3/7 + 27*u - 2. Solve w(s) = 0.
-2, 0, 12
Let l(m) be the second derivative of 3*m - 1/15*m**5 + 0*m**2 - 1/63*m**7 + 0 + 0*m**3 + 0*m**4 + 1/15*m**6. Factor l(i).
-2*i**3*(i - 2)*(i - 1)/3
Suppose -5*w - 5*f + 20 = 0, -3*w - f = -5*w - 4. Let y(p) be the second derivative of w + 2/3*p**3 - 10*p + p**2 + 1/6*p**4. What is k in y(k) = 0?
-1
Let b(c) be the third derivative of -2*c**7/525 - 7*c**6/30 - 132*c**5/25 - 216*c**4/5 + 1152*c**3/5 - 54*c**2. Suppose b(k) = 0. Calculate k.
-12, 1
Let l(v) be the third derivative of -v**9/131040 + v**8/131040 + v**7/16380 + v**5/60 + 24*v**2. Let x(b) be the third derivative of l(b). Solve x(k) = 0.
-2/3, 0, 1
Find l such that -40*l - 122*l - 4*l**3 - 34*l + 56*l**2 - 1 + 1 = 0.
0, 7
Let a be (4 - 132/28)*8/(-5). Suppose 8/7*l + 2/7*l**2 - 2/7*l**3 - a = 0. What is l?
-2, 1, 2
Let k(g) be the first derivative of 0*g + 2/3*g**2 - 2/9*g**3 + 21. Factor k(i).
-2*i*(i - 2)/3
Let w(m) = 302*m - 2112. Let q be w(7). Find p, given that 1/3 + 1/3*p**q + 2/3*p = 0.
-1
Let z(d) be the third derivative of 0*d + 1/12*d**3 - 6*d**2 - 1/480*d**6 + 1/840*d**7 + 0 + 1/96*d**4 - 1/80*d**5. Find l such that z(l) = 0.
-1, 1, 2
Let l = 11 - -16. Suppose 8*v + 2*v = 30. Suppose l*i**3 + 15*i + v*i + 36*i**2 - 6*i = 0. Calculate i.
-2/3, 0
Suppose d**2 - d**2 - 8*d + 2*d**2 + 5*d - 5*d**3 + 6*d**3 = 0. What is d?
-3, 0, 1
Let r(j) be the first derivative of 3/10*j**5 + 3/8*j**4 - 12 + 0*j - 1/2*j**3 - 3/4*j**2. Factor r(q).
3*q*(q - 1)*(q + 1)**2/2
Let c(b) be the second derivative of b**7/210 - b**6/75 + b**4/30 - b**3/30 + 14*b + 3. Factor c(d).
d*(d - 1)**3*(d + 1)/5
Let w(v) = v**2 - 3*v + 4. Let n be w(3). Let a(r) = r**3 - 5*r**2 + 5*r - 1. Let g be a(n). Factor -x + g + 3*x**2 + 6*x + 3*x - 2*x.
3*(x + 1)**2
Let i(j) be the third derivative of 4*j**2 + 1/132*j**4 - 1/6*j**3 + 0*j + 0 - 1/330*j**5 + 1/1980*j**6. Let y(s) be the first derivative of i(s). Factor y(z).
2*(z - 1)**2/11
Determine b so that -2*b**2 - 9 + 11 - 22 - 21 - 7 + 28*b = 0.
2, 12
What is w in -1/4*w**2 - 3*w + 0 = 0?
-12, 0
Let a(z) be the third derivative of 2/15*z**3 - 23*z**2 - 1/50*z**5 + 0 + 0*z - 1/60*z**4. Factor a(s).
-2*(s + 1)*(3*s - 2)/5
Let z(o) be the second derivative of -5/9*o**3 + 0 + 5*o - 2/3*o**2 - 1/4*o**4 - 7/120*o**5 - 1/180*o**6. Factor z(g).
-(g + 1)*(g + 2)**3/6
What is x in 2*x + 0 + 3/4*x**4 + 5/4*x**3 - 13/2*x**2 = 0?
-4, 0, 1/3, 2
Let u = -1/8476 + 271235/25428. Let c be (-36)/(-10) - (-2)/5. Let c - 4*m**2 - u*m = 0. What is m?
-3, 1/3
Let b(a) be the first derivative of -51*a**4/4 + 104*a**3/3 - 55*a**2/2 + 2*a + 836. Factor b(z).
-(z - 1)**2*(51*z - 2)
Let u(n) be the second derivative of -n**6/150 + 9*n**5/100 - 7*n**4/30 + 220*n. Factor u(o).
-o**2*(o - 7)*(o - 2)/5
Let k(i) be the first derivative of 26*i**2 - 24*i - 17 - 20/3*i**3. Factor k(z).
-4*(z - 2)*(5*z - 3)
Let d(q) = -q**3 + 3*q**2 - 2*q. Let a(h) = -9*h**3 + 25*h**2 - 17*h. Let p = -70 - -19. Let y(x) = p*d(x) + 6*a(x). Factor y(v).
-3*v**2*(v + 1)
Let k(a) = 41*a**2 - 199*a - 26. Let o be k(5). Suppose -2/13*w**o - 34/13*w**3 - 12/13*w + 6/13*w**5 - 38/13*w**2 + 0 = 0. What is w?
-1, -2/3, 0, 3
Let m(o) be the second derivative of -o**7/21 - 4*o**6/15 + 13*o**5/5 + 10*o**4 - 75*o**3 + 68*o - 2. Factor m(s).
-2*s*(s - 3)**2*(s + 5)**2
Let i(y) be the third derivative of 1/350*y**7 + 0*y + 1/1680*y**8 + 27*y**2 - 1/100*y**5 + 0 + 0*y**3 + 1/30*y**4 - 1/120*y**6. Find q, given that i(q) = 0.
-4, -1, 0, 1
Let f be (16323/(-297) - 6/27)*-1. Let h = -55 + f. Solve -8/11 + 8/11*x - h*x**2 = 0.
2
Let m = -1246 - -1250. Let i(w) be the first derivative of 1/25*w**5 + 0*w**2 + 0*w - 2/15*w**3 + 1/20*w**4 + m. Factor i(k).
k**2*(k - 1)*(k + 2)/5
Let c(n) = -n**2 - 42*n + 1679. Let d be c(25). Factor 0 + 1/2*m**2 - d*m.
m*(m - 8)/2
Find j, given that 42 + 10*j - 71 + 3*j**3 + 47 - 31*j = 0.
-3, 1, 2
Solve -5*d**4 + 128*d**2 - 4*d**3 - 400*d - 368*d**2 - 14*d**3 - 110 - 130 - 42*d**3 = 0.
-6, -2
Let q(i) be the first derivative of 4*i**3 - 6/5*i**5 - 1/2*i**6 + 9/4*i**4 + 32 - 6*i**2 + 0*i. Suppose q(l) = 0. Calculate l.
-2, 0, 1
Let f(i) be the third derivative of i**8/392 + 4*i**7/245 + 3*i**6/140 - 2*i**5/35 - i**4/7 + 523*i**2. Let f(r) = 0. What is r?
-2, -1, 0, 1
Suppose -1855 = -15*g + 2945. What is x in -180*x**2 + 48*x + 47*x - 5*x**4 - 4*x - 11*x + g + 55*x**3 = 0?
-1, 4
Let 664*l - 9*l**2 + 7*l**2 + 0*l**2 - 4*l**2 + 222 = 0. Calculate l.
-1/3, 111
Suppose 0 = 4*o - 5*o + 3. Suppose 6 = 10*b - 7*b. Suppose 0*n**2 - n**2 -