 0.
-3, 0, 2
Suppose -2 + 0 = v. Let x be 15/6 + v/(-4). Factor -x*z**2 + z**2 + 7*z**3 - 2*z**4 + z**3 - 4*z**3.
-2*z**2*(z - 1)**2
Let f(w) = -42031*w**2 + 818*w - 4. Let k(t) = -210158*t**2 + 4089*t - 20. Let l(m) = -22*f(m) + 4*k(m). Factor l(z).
2*(205*z - 2)**2
Let b(d) be the second derivative of -1 - 3/10*d**2 - 1/60*d**4 - 38*d - 2/15*d**3. Factor b(y).
-(y + 1)*(y + 3)/5
What is u in -2*u**5 + 43*u**2 + 2*u - 1269*u**3 + 33*u**2 + 1312*u**3 - 37*u**5 - 76*u**4 - 6*u = 0?
-2, -1, 0, 2/39, 1
Let p(r) be the third derivative of 0*r - 1/12*r**5 + 5/24*r**4 - 10*r**2 + 0 + 0*r**3. Solve p(d) = 0.
0, 1
Suppose -2*f + 100 = 5*g - 7*f, -g - 4*f + 30 = 0. Let l be (-3 - 604/(-176)) + (-4)/g. Factor 0*j + 1/4*j**2 - l.
(j - 1)*(j + 1)/4
Let i = 60267/5 + -12108. Let y = -2983/55 - i. Let 0 - 2/11*n**2 + y*n = 0. What is n?
0, 2
Suppose 10*x**3 + 2055*x**5 - 6*x**4 - 2054*x**5 - x**3 = 0. What is x?
0, 3
Let y(b) be the third derivative of 5*b**8/1344 + 11*b**7/420 + 3*b**6/80 - b**5/15 - 23*b**4/96 - b**3/4 + 50*b**2. Let y(m) = 0. Calculate m.
-3, -1, -2/5, 1
Let o(f) be the third derivative of 3/10*f**5 + 9*f**3 - 9/4*f**4 + 0 - 12*f**2 - 1/60*f**6 + 0*f. Factor o(p).
-2*(p - 3)**3
Let n be ((-5)/(-2) + -1)*(-3)/(-18). Let 3/4*r**3 + n*r + 0 + 1/4*r**4 + 3/4*r**2 = 0. Calculate r.
-1, 0
Factor 32 + 2/9*n**2 + 16/3*n.
2*(n + 12)**2/9
Factor -514*k - 393*k + 610 - 34 + 64*k**2 - 4*k**3 + 571*k.
-4*(k - 6)**2*(k - 4)
Let f(z) = 15*z**4 - 5*z**3 + 5*z**2 - 25*z. Let s(a) = a**4 + a**3 - 4*a + 1. Let t(r) = f(r) - 10*s(r). What is q in t(q) = 0?
-1, 1, 2
Let d(k) be the second derivative of k**9/15120 - k**7/2100 + k**5/600 - 7*k**3/6 - 13*k. Let s(i) be the second derivative of d(i). Factor s(w).
w*(w - 1)**2*(w + 1)**2/5
What is c in -4 + 126/5*c + 6*c**3 + 176/5*c**2 = 0?
-5, -1, 2/15
Suppose -f + 3*n + 9 = 0, -2*f - 26*n = -29*n - 9. Let h = 980 + -4876/5. Factor -2*b**4 - 18/5*b**2 + h*b**3 + 4/5*b + f.
-2*b*(b - 1)**2*(5*b - 2)/5
Let d(s) be the third derivative of s**6/120 + 29*s**5/120 + 5*s**4/3 + 11*s**3/4 + s**2 + 135*s. Factor d(v).
(v + 3)*(v + 11)*(2*v + 1)/2
Let o(q) be the second derivative of -q**4/24 + q**3/2 - 5*q**2/4 + 68*q. Factor o(v).
-(v - 5)*(v - 1)/2
Let p be (2560/(-96))/(4/(-6) + 1). Let l = 83 + p. Factor -1/3*c**l + 0 + 0*c - 1/3*c**2.
-c**2*(c + 1)/3
Let x(v) be the third derivative of -v**6/240 + v**5/120 + v**4/48 - v**3/12 - 33*v**2 + 2. Factor x(f).
-(f - 1)**2*(f + 1)/2
Suppose -g - 30 = -7*g. Factor -y**2 - 11 + 3*y**2 + g - 2.
2*(y - 2)*(y + 2)
Let j = -248 + 252. Let a(v) be the second derivative of -1/10*v**5 + 0*v**2 + 2/15*v**6 + 0*v**3 + 0*v**j + 0 + 4*v - 1/21*v**7. Factor a(o).
-2*o**3*(o - 1)**2
Let k(b) be the second derivative of 0*b**2 + 1/48*b**4 + 0 + 16*b + 1/6*b**3. Factor k(r).
r*(r + 4)/4
Let o(q) be the second derivative of q**5/100 + q**4/60 - q**3/30 - q**2/10 + 7*q - 3. Let o(w) = 0. What is w?
-1, 1
Let d(i) be the first derivative of 0*i + 0*i**3 + 0*i**4 + 7 + 1/100*i**5 - 7/2*i**2. Let c(a) be the second derivative of d(a). Suppose c(g) = 0. What is g?
0
Let x(u) be the first derivative of -u**4/42 - 160*u**3/63 - 229. Factor x(f).
-2*f**2*(f + 80)/21
Let b(x) be the third derivative of x**8/4200 + x**7/1050 + x**6/900 + x**3/2 - 19*x**2. Let r(i) be the first derivative of b(i). Factor r(h).
2*h**2*(h + 1)**2/5
Find t such that 19 + 3*t**3 - 19 + 9*t**2 - 27*t + 15 = 0.
-5, 1
Let l be ((-59)/(-9))/((-82)/12 - -7). Let x = l - 39. Factor 2/3 - x*y**2 + 1/3*y.
-(y - 2)*(y + 1)/3
Let d(l) be the first derivative of -3/2*l**2 + 0*l + 1/4*l**4 - 2/3*l**3 - 25. Let d(i) = 0. What is i?
-1, 0, 3
Let 0 + 3/4*f + 1/12*f**2 = 0. Calculate f.
-9, 0
Suppose 48*n - 165 = -7*n. Let k(i) be the first derivative of 0*i - 1/3*i**6 - 3 + 0*i**2 - 2/3*i**n - 6/5*i**5 - 3/2*i**4. Factor k(r).
-2*r**2*(r + 1)**3
Let t(j) be the third derivative of -j**6/120 - 7*j**5/30 - 49*j**4/24 + 234*j**2. Find c such that t(c) = 0.
-7, 0
Let 9*f**4 - f**5 + 3*f**5 + 26*f**3 + 8*f**4 - 4*f**4 + 15*f**4 = 0. What is f?
-13, -1, 0
Suppose 17*c - 20*c - 2*p = -14, 4*c + 4*p - 20 = 0. What is h in -16*h**2 - 8 + 777/2*h**c + 290*h**3 - 48*h + 245/2*h**5 = 0?
-2, -1, -2/7, 2/5
Let r(g) be the first derivative of 3*g**4/10 + 4*g**3/5 - 3*g**2/5 - 12*g/5 - 53. Let r(i) = 0. What is i?
-2, -1, 1
Let x(s) be the first derivative of s**3/6 - 5*s**2/4 - 7*s + 67. Factor x(t).
(t - 7)*(t + 2)/2
Let p(q) be the second derivative of -q**4/3 - 7*q**3 + 11*q**2 - 88*q. Factor p(v).
-2*(v + 11)*(2*v - 1)
Let l = 37/70 + -1/10. Let y(a) = -a**2 - 11*a + 4. Let q be y(-11). Let -12/7*m**3 - 12/7*m - 3/7 - l*m**q - 18/7*m**2 = 0. What is m?
-1
Factor 140*i + 5/2*i**4 - 75*i**2 - 135/2*i**3 + 0.
5*i*(i - 28)*(i - 1)*(i + 2)/2
Suppose 11*q = -z + 14*q - 4, 0 = -2*z + 4*q. What is k in -40 + z*k - 2/5*k**2 = 0?
10
Let s be ((-22)/176)/((-3)/4). Let f(x) be the first derivative of 1/4*x**2 + 3 + 0*x + s*x**3. Determine l so that f(l) = 0.
-1, 0
Let l(p) be the first derivative of 1/14*p**4 - 12 + 0*p - 2/35*p**5 - 1/7*p**2 + 2/21*p**3. Solve l(z) = 0.
-1, 0, 1
Let i(u) = u**3 - 4*u**2 - 6*u - 33. Let b be i(6). Let n = 254/7 - 36. Solve n*x**2 + 0 + 2/7*x - 2/7*x**b - 2/7*x**4 = 0.
-1, 0, 1
Solve -22/5*p**2 - 38/5*p - 18/5 - 2/5*p**3 = 0.
-9, -1
Find l such that 307 - 152 - 4*l**4 - 155 = 0.
0
Let i(y) = y**2 - 28*y + 191. Let r be i(11). Let t(h) be the second derivative of 0*h**2 + 2*h + 1/3*h**r + 2*h**3 + 0. Factor t(g).
4*g*(g + 3)
Solve 125*x - 310 - 309 - 5*x**3 + 554 - 55*x**2 = 0 for x.
-13, 1
Find b such that -300*b - b**2 - 6*b**2 + 2*b**2 - 4500 = 0.
-30
Let f(h) = h**2 + 3*h + 3. Let u be f(-6). Suppose -u*y + 23*y = 20. Find m such that -12*m**3 - 8 + 2*m + 0*m**2 + 4*m**2 + 4*m**4 + y*m = 0.
-1, 1, 2
Let d = -37 + 39. Let s be (-1)/(2/((-12)/d)). Find h such that -4/5*h**s + 1/5*h**4 - 4/5*h + 1/5 + 6/5*h**2 = 0.
1
Let h(s) be the first derivative of -3*s**5/25 - 3*s**4/5 + 3*s**3/5 + 21*s**2/5 + 24*s/5 - 53. Find o such that h(o) = 0.
-4, -1, 2
Let q(b) = b**3 + b**2 - 4*b - 19. Let p(g) = -4*g**3 - 8*g**2 + 20*g + 94. Let x(l) = -3*p(l) - 14*q(l). Factor x(m).
-2*(m - 4)*(m - 2)*(m + 1)
Let r(l) be the third derivative of -l**8/1680 + l**7/630 + l**6/30 + l**4/4 + 17*l**2. Let n(y) be the second derivative of r(y). What is u in n(u) = 0?
-2, 0, 3
Suppose 97*x + 12 = 103*x. Let q(o) be the third derivative of x*o**2 + 0 - o**3 + 0*o - 3/8*o**4 - 1/20*o**5. Solve q(r) = 0 for r.
-2, -1
Let c = -1/7871 + 118067/15742. Let 3*p**2 - 12*p**3 + 3/2 + c*p = 0. What is p?
-1/2, -1/4, 1
Let z be (-1342)/(-88) + 3/4. Factor -6 + z - 10 + u**2 - u**3.
-u**2*(u - 1)
Let s(l) be the first derivative of -l**5/90 - l**4/4 - 8*l**3/9 - 6*l**2 - 25. Let i(b) be the second derivative of s(b). Factor i(c).
-2*(c + 1)*(c + 8)/3
Let m be (2 - 3) + -1 + 12. Let t(g) = 1. Let l(c) = -c**2 + 5*c + 5. Let v(f) = m*t(f) - 2*l(f). Factor v(j).
2*j*(j - 5)
Let k be (3/(-4))/((-11)/44). Suppose -37 = -k*i + l, 5*l - 19 = -i - i. Factor -6 - 19*s - i - s - 2 - 5*s**2.
-5*(s + 2)**2
Suppose 3*v = 54 - 48. Factor -w**v - 1/3*w**3 - w - 1/3.
-(w + 1)**3/3
Let g(z) = z**4 - 8*z**3 - 26*z**2 - 24*z + 4. Let k(s) = s**4 + s**3 + s**2 + 2. Let m(t) = 5*g(t) - 10*k(t). Factor m(y).
-5*y*(y + 2)**2*(y + 6)
Let c(m) be the first derivative of m**5/5 + m**4/2 - 7*m**3 + 9*m**2 - 517. Factor c(w).
w*(w - 3)*(w - 1)*(w + 6)
Factor -79 - 569 - 2*l**2 - 35*l + 107*l.
-2*(l - 18)**2
Let w(c) be the third derivative of -c**10/30240 + c**8/4032 - 7*c**5/60 - 19*c**2. Let f(x) be the third derivative of w(x). Factor f(l).
-5*l**2*(l - 1)*(l + 1)
Let j(y) be the first derivative of 0*y + 1/180*y**6 + 0*y**2 - 10/3*y**3 + 0*y**4 + 6 + 0*y**5. Let f(b) be the third derivative of j(b). Factor f(x).
2*x**2
Let w be 3/2*(-4)/3. Let n be (w/2)/(6/(-12)). Suppose 2 - 4 - q**2 + n + q**3 = 0. What is q?
0, 1
Suppose -2*m - 4 = -2*i, -3*m + 7*i + 4 = 9*i. Let r(a) be the third derivative of -1/26*a**4 + 3/13*a**3 + m + 0*a + 1/390*a**5 + a**2. Factor r(g).
2*(g - 3)**2/13
Let -741 - 3840*p**2 - 75*p**3 + 172 + 3108*p - 55 = 0. What is p?
-52, 2/5
Let k(w) be the first derivative of w**4/36 - 5*w**3/18 - 27*w + 26. Let n(s) be the first derivative of k(s). Factor n(z).
z*(z - 5