2)**2*(f - 1)**2
Suppose 5*z = 3*d + 3*z + 4, -d + 2*z - 8 = 0. Suppose d*i = -2*i + 8. Solve 4*s + 17/2*s**4 + 1/2 + 11*s**2 + i*s**5 + 14*s**3 = 0.
-1, -1/4
Suppose 4017*w - 4033*w + 48 = 0. Factor -2/11*j + 2/11*j**4 + 0 - 2/11*j**2 + 2/11*j**w.
2*j*(j - 1)*(j + 1)**2/11
Let y be 18*(-11)/242 + 1. Factor 6/11*p + 0 + y*p**2.
2*p*(p + 3)/11
Find f such that -517/9*f**2 - 9*f**4 - 50*f**3 + 100/3*f - 4 = 0.
-3, 2/9
Let q be 2 - (40/15 + -1)*1. Let i(a) be the second derivative of 2*a + 0 + 2*a**2 + 1/2*a**5 - 5/3*a**3 - q*a**4. Factor i(m).
2*(m - 1)*(m + 1)*(5*m - 2)
Factor 0*p + 0*p**3 + 2/17*p**4 + 0 - 2/17*p**2.
2*p**2*(p - 1)*(p + 1)/17
Suppose 140*z - 138*z = 0. Determine l, given that -32/7*l**2 + 4/7*l**3 + z + 64/7*l = 0.
0, 4
Let -10/7*p - 6/7 - 4/7*p**2 = 0. What is p?
-3/2, -1
Let h(d) be the third derivative of -d**8/1344 - d**7/140 - d**6/40 - d**5/24 - d**4/32 - 2*d**2 + 89. Factor h(s).
-s*(s + 1)**3*(s + 3)/4
Let b(s) be the first derivative of 0*s - 8/3*s**3 + 1/2*s**4 + 4*s**2 - 1. Factor b(j).
2*j*(j - 2)**2
Let j(g) be the third derivative of g**8/336 - 3*g**7/70 - g**6/120 + 3*g**5/20 - 465*g**2. Factor j(x).
x**2*(x - 9)*(x - 1)*(x + 1)
Suppose 135/4*t + 0 + 3/4*t**2 = 0. What is t?
-45, 0
Let s(f) be the first derivative of f**3/2 + 39*f**2/2 + 507*f/2 - 81. Factor s(b).
3*(b + 13)**2/2
Let w(p) be the third derivative of 1/16*p**5 - 5/6*p**3 + 22*p**2 - 1/168*p**7 + 0 + 0*p + 5/24*p**4 - 1/48*p**6. Factor w(y).
-5*(y - 1)**2*(y + 2)**2/4
Let p be -2 + (-140)/(-4) - -1. Factor -19*n**3 - 9*n**2 + 12 + p*n**3 - 18*n**3.
-3*(n - 1)*(n + 2)**2
Factor 64/5 + 5*i**2 - 16*i.
(5*i - 8)**2/5
Let y(x) be the first derivative of x**6/120 + 3*x**5/40 - 5*x**4/4 - 49*x**3/3 - 6. Let z(b) be the third derivative of y(b). Factor z(u).
3*(u - 2)*(u + 5)
Let s(i) = -2*i**3 + 14*i**2 + 37*i - 5. Let l be s(9). Let y(g) be the second derivative of 0*g**3 + 0*g**2 + 1/24*g**l + 6*g + 0. Let y(w) = 0. What is w?
0
Let t(x) = -2*x**4 + 7*x**3 + 10*x**2 - 15*x + 3. Let r(g) = -6*g**4 + 20*g**3 + 30*g**2 - 44*g + 8. Let h(d) = 3*r(d) - 8*t(d). Factor h(l).
-2*l*(l - 3)*(l - 1)*(l + 2)
Let u be (4/(-7))/(48/(-224)). Factor -2*s**2 + 0*s + u - 2/3*s**3.
-2*(s - 1)*(s + 2)**2/3
Let q(t) = -t**2 - 26*t - 24. Let a be q(-25). Let y be a/(-28) - (16/(-28))/2. What is r in 1/4*r**3 + 1/4 - y*r - 1/4*r**2 = 0?
-1, 1
Let m(t) be the second derivative of -t**7/9 + 67*t**6/15 - 1307*t**5/30 - 655*t**4/6 - 50*t**3 + 164*t. Let m(b) = 0. Calculate b.
-1, -2/7, 0, 15
Let g(j) = -7*j**2 - 10*j - 7. Let f be (4/3)/(4/6). Let p be 0*(-3 + f) + 4. Let c(l) = 6*l**2 + 9*l + 6. Let m(a) = p*c(a) + 3*g(a). Factor m(d).
3*(d + 1)**2
Let t(n) be the second derivative of -n**7/24 + 73*n**6/240 - 13*n**5/20 + 9*n**4/32 + 3*n**3/8 + 215*n. What is d in t(d) = 0?
-2/7, 0, 1, 3/2, 3
Let h(w) be the third derivative of -w**6/160 - 7*w**5/80 - 5*w**4/16 + 309*w**2. Factor h(j).
-3*j*(j + 2)*(j + 5)/4
Let c(n) be the first derivative of 4*n**5/5 - 20*n**4 + 88*n**3/3 + 1560*n**2 + 6084*n + 22. Factor c(z).
4*(z - 13)**2*(z + 3)**2
Let l be (1*21/(-189))/(((-8)/9)/2). Determine c, given that -1/4*c**2 + l*c + 1/2 = 0.
-1, 2
Let i(u) be the first derivative of u**8/896 + u**7/560 - 6*u**2 + 8. Let k(l) be the second derivative of i(l). Determine x so that k(x) = 0.
-1, 0
Find m such that 15/4*m + 9/2*m**2 + 0 + 3/4*m**3 = 0.
-5, -1, 0
Let y(m) be the second derivative of -10*m**7/21 + 11*m**6/6 + 3*m**5/4 - 20*m**4/3 - 10*m**3/3 + 42*m. Determine c so that y(c) = 0.
-1, -1/4, 0, 2
Let x be (-8*(1 - 2))/(-6 + 4). Let m be (x - -3)/6 - (-15)/10. Factor -2/3*d**3 + 2/3*d - 4/3 + m*d**2.
-2*(d - 2)*(d - 1)*(d + 1)/3
Let v = 5547/10 + -2761/5. What is g in 2*g**4 - 1/2*g**5 + v*g - g**2 - 2*g**3 - 1 = 0?
-1, 1, 2
Let m be 255/(-42)*2/12*-2. Let n = 13/6 - m. Factor 2/7*k + 0 - n*k**2.
-k*(k - 2)/7
Factor -1050*s - 5/2*s**4 - 490 - 75*s**3 - 1265/2*s**2.
-5*(s + 1)**2*(s + 14)**2/2
Let o(r) be the first derivative of r**7/140 - r**6/90 - r**5/60 + 4*r**3/3 - 2. Let j(w) be the third derivative of o(w). Factor j(i).
2*i*(i - 1)*(3*i + 1)
Suppose 15*f + 569 = 599. Factor -1/6*z**f - 1/2*z - 1/3.
-(z + 1)*(z + 2)/6
Let k(r) = 22*r**2 + 97*r + 75. Let p(o) = 7*o**2 + 32*o + 25. Let c(i) = 2*k(i) - 7*p(i). Factor c(x).
-5*(x + 1)*(x + 5)
Let k(t) be the third derivative of -t**7/315 - 19*t**6/180 - 13*t**5/10 - 33*t**4/4 - 30*t**3 - 368*t**2. Find a such that k(a) = 0.
-10, -3
Let p(t) be the first derivative of 4/5*t**5 + 8*t**3 - 12 + 4*t + 4*t**4 + 8*t**2. Factor p(c).
4*(c + 1)**4
Let f(b) = -b**3 + 4*b**2 - b - 4. Let m be f(3). Let o = 139 - 133. Factor -4*y - m*y**2 - y + o*y - 3*y.
-2*y*(y + 1)
Let y(j) be the second derivative of -5*j**4/48 - 5*j**3/6 - 5*j**2/2 - 77*j - 1. What is g in y(g) = 0?
-2
Let n be (-300)/(-168) - (2 - 24/14). Let o(q) be the first derivative of 4 + 2/3*q**3 - 1/3*q**6 - n*q**4 + 0*q**2 + 6/5*q**5 + 0*q. Factor o(l).
-2*l**2*(l - 1)**3
Let p(y) be the third derivative of -y**6/960 + y**5/160 - y**4/64 + y**3/48 - 470*y**2. Factor p(s).
-(s - 1)**3/8
Let b(i) = -3*i**3 - i + 7*i**3 - 1 - 5*i**3 - i**2. Let g be b(-1). Suppose 2*u**3 - 2*u**5 + 5*u**4 + g*u**3 - u**2 - 3*u**4 - u**2 = 0. What is u?
-1, 0, 1
Solve 444*s + 405 + 135*s**4 - 181 - 549*s**4 - 288*s**4 - 105*s**5 - 339*s**3 + 630*s**2 - 152 = 0.
-6, -1, -2/5, -2/7, 1
Let y(r) be the third derivative of r**8/4032 - r**7/1008 - r**6/72 + 17*r**5/60 + 15*r**2. Let a(s) be the third derivative of y(s). Find f such that a(f) = 0.
-1, 2
Factor -2/3*p**5 + 2/3*p - 4/3*p**4 + 0 + 0*p**3 + 4/3*p**2.
-2*p*(p - 1)*(p + 1)**3/3
Let j(v) be the first derivative of -7*v**2 + 5*v**2 - 7 + 6*v + 3*v - 3*v. Let f(n) = n**2 - 9*n + 13. Let l(b) = 4*f(b) - 10*j(b). Factor l(i).
4*(i - 1)*(i + 2)
Suppose 10 = -4*r + 26. Suppose -25*v + 3*v + 3*v**5 + 11 + 42*v**2 + 7 - 29*v - 12*v**r = 0. What is v?
-2, 1, 3
Let l = -2649/11 + 241. Let z = 106/99 - l. Determine c so that -z*c - 2/9*c**2 - 8/9 = 0.
-2
Let t(l) = l + 3. Let q be t(-1). Suppose 0 = 3*g + q*g. Suppose -2/9 + 2/9*p**2 + g*p = 0. Calculate p.
-1, 1
Let p(z) be the second derivative of 0 + 0*z**3 - z - 2/35*z**6 + 0*z**2 - 1/21*z**4 - 3/35*z**5 - 2/147*z**7. Factor p(a).
-4*a**2*(a + 1)**3/7
Let v(m) be the first derivative of -3*m**4/4 - 21*m**3 - 297*m**2/2 + 363*m - 167. Factor v(c).
-3*(c - 1)*(c + 11)**2
Let a(h) be the first derivative of 1/75*h**5 - 1/15*h**4 + 1/3*h**3 + 0*h**2 - 4 + 0*h - 1/900*h**6. Let d(w) be the third derivative of a(w). Factor d(x).
-2*(x - 2)**2/5
Let l(v) be the third derivative of v**8/448 + v**7/35 + 11*v**6/80 + 3*v**5/10 + 9*v**4/32 + 132*v**2 + 2. Factor l(b).
3*b*(b + 1)**2*(b + 3)**2/4
Suppose -5*a + 170 = -5*v - 55, 3*a = -2*v - 115. Let c = v + 52. Solve -1/3*o**3 + 2/3*o**c - 1/3*o + 0 = 0.
0, 1
Let d(m) be the first derivative of -96*m**5/5 - 9*m**4 - m**3 + 24. What is x in d(x) = 0?
-1/4, -1/8, 0
Let i(q) be the second derivative of 0*q**2 - 1/2*q**3 + 0 + 1/2*q**4 + 3*q. Determine v so that i(v) = 0.
0, 1/2
Let w(q) be the third derivative of -q**8/784 - 11*q**7/490 - 3*q**6/28 + 8*q**5/35 + 20*q**4/7 + 287*q**2. Solve w(n) = 0.
-5, -4, 0, 2
Let p = -9 + 19/2. Let t = -20 - -41/2. Determine q so that 1/2 + p*q**3 - 1/2*q**2 - t*q = 0.
-1, 1
Let r be -3 + 3 + (-32)/(-4). Suppose -r = -5*l - i, 0*i + 2*i = 5*l - 14. Factor -5*z**2 + z**l + 4*z**4 + 4*z + 7 - 7 - 4*z**3.
4*z*(z - 1)**2*(z + 1)
Let n(i) be the first derivative of 3*i**6/2 - 33*i**5 - 113*i**4/4 - 19*i**3/3 + 211. Factor n(y).
y**2*(y - 19)*(3*y + 1)**2
Let l(j) = 2*j**3 - 2*j**2 + j - 5. Let h be (-92)/(-20) + 6/(-10). Let u(t) = 2 - 2*t**2 - t**3 + 4 - h + 3*t**2. Let f(r) = 6*l(r) + 15*u(r). Factor f(v).
-3*v*(v - 2)*(v + 1)
Let f(o) = -10*o**4 + 2*o**3 + 5*o**2 - 6*o + 3. Let a(w) = 13*w**4 - 3*w**3 - 6*w**2 + 8*w - 4. Let k(x) = -3*a(x) - 4*f(x). Factor k(s).
s**2*(s - 1)*(s + 2)
Determine x, given that -16*x**2 + 32*x - 9*x**3 + 16*x**3 + 4*x**4 - 15*x**3 = 0.
-2, 0, 2
Let s(w) be the first derivative of -5/3*w**3 - 5/3*w**6 - 15*w**4 + 0*w + 11*w**5 - 44 + 10*w**2. Suppose s(h) = 0. Calculate h.
-1/2, 0, 1, 4
Suppose 4*x - 5 = 2*x + 3*h, 5*x - 24 = -4*h. Determine o so that -8*o**2 - 1 + 0*o**2 - x*o**2 + 15*o**2 + 2*o**3 = 0.
-1,