t m(i) = -i**2 - 2*i. Let o(t) = -5*m(t) - s(t). Factor o(v).
5*(v + 31)**2
Let c(x) = -10*x - 85. Let v be c(-9). Let r(b) be the first derivative of 0*b - 3/5*b**5 + 0*b**2 + 0*b**3 + 2/3*b**6 - 1/4*b**4 - v. Factor r(j).
j**3*(j - 1)*(4*j + 1)
Let m(x) be the first derivative of 0*x**3 + 4/5*x**5 - 4*x**2 + 2*x**4 - 4*x + 2. Factor m(k).
4*(k - 1)*(k + 1)**3
Let r(s) be the first derivative of -s**6/30 - 2*s**5/15 - s**4/6 + 5*s**2 + 25. Let p(i) be the second derivative of r(i). Let p(g) = 0. Calculate g.
-1, 0
Let a(y) be the second derivative of 1/70*y**7 + 0*y**4 - 3/50*y**5 + 1/10*y**3 - 21*y + 0*y**6 + 0*y**2 + 2. Solve a(l) = 0 for l.
-1, 0, 1
Solve 38/11*a**2 - 118/11*a + 12/11 = 0 for a.
2/19, 3
Let p be (-260)/910*322/(-3). Suppose -22*h**4 - 16/3*h - 8*h**2 + 0 + 14/3*h**5 + p*h**3 = 0. What is h?
-2/7, 0, 1, 2
Let j(c) be the second derivative of -4*c**6/75 + c**5/5 + 11*c**4/15 - 8*c**3/3 - 24*c**2/5 - 182*c. Let j(u) = 0. Calculate u.
-2, -1/2, 2, 3
Let r(i) be the second derivative of i**6/15 - 7*i**5/10 - i**4/6 + 7*i**3/3 + 64*i. Let r(y) = 0. What is y?
-1, 0, 1, 7
Let x(i) = 2*i**4 + 2*i**3 - i**2 - i. Let v(q) = 14*q**4 - 6*q**3 - 29*q**2 + 11*q + 20. Let s(p) = -v(p) + 5*x(p). Find n such that s(n) = 0.
-1, 1, 5
Let l(q) = 152*q + 2. Let t be l(0). Suppose -7/4*d**t + 3/4*d + 1 = 0. Calculate d.
-4/7, 1
Let a(y) = 17*y**4 + 16*y**3 + 45*y**2 - 9*y - 34. Let u(m) = -7*m**4 - 8*m**3 - 23*m**2 + 5*m + 18. Let d(r) = 3*a(r) + 7*u(r). Find k such that d(k) = 0.
-2, -1, 1, 6
Let t(z) be the third derivative of 0*z**3 + 1/300*z**6 + 0*z + 0 - 17*z**2 + 1/60*z**4 - 1/75*z**5. Solve t(d) = 0 for d.
0, 1
Let w(f) = 3*f**3 - 3*f + 7. Let i(b) = -b**3 + b - 2. Let x(c) = 7*i(c) + 2*w(c). Let q(r) = 2*r**3 - 12*r**2 + 10*r. Let z(v) = -q(v) + x(v). Factor z(u).
-3*u*(u - 3)*(u - 1)
Let m be (-2)/(-1) - (-1 + -1). Suppose 2*y**3 + 4*y + m*y + 2*y**5 + 4*y**4 - 8*y = 0. What is y?
-1, 0
Let j(y) = 3*y**2 + 4. Let t(v) = -10*v**2 + 4*v + 16. Let d(l) = -2*j(l) - t(l). Solve d(n) = 0 for n.
-2, 3
Let c(a) be the third derivative of 1/2016*a**8 + 1/360*a**5 + 0 + 0*a**4 - 1/1260*a**7 - 1/720*a**6 + 0*a**3 + 14*a**2 + 0*a. Factor c(i).
i**2*(i - 1)**2*(i + 1)/6
Factor 0 + 1/2*o**2 + 11*o.
o*(o + 22)/2
Suppose z = g - 8 + 1, 0 = 5*z - 2*g + 32. Let m = z + 9. What is a in 2*a - 6 + 3*a**4 - 14*a**3 + 3*a + m*a**2 + 5*a**3 + 4*a = 0?
-1, 1, 2
Let b(k) = 6*k**3 - 105*k**2 - 120*k + 240. Let l(z) = -z**3 + 21*z**2 + 24*z - 48. Let f = -21 + 17. Let g(d) = f*b(d) - 21*l(d). Find m, given that g(m) = 0.
-4, 1
Suppose 16 - 2 = 7*t. Factor 0*k**2 - 5*k - k**2 + 3*k**t + 4*k - k**3.
-k*(k - 1)**2
Let b(c) be the second derivative of 0*c**2 + 0 + 4*c - 1/80*c**5 + 0*c**4 + 1/24*c**3. Factor b(i).
-i*(i - 1)*(i + 1)/4
Let f(r) = -r**3 + 4*r**2 + 2. Let d be f(4). Let y be (-100)/(-12) - (-8 + 16). What is c in -1/3*c - y*c**d + 0 = 0?
-1, 0
Let y(t) be the second derivative of -t**6/15 + t**4/2 - 2*t**3/3 - 38*t. Factor y(u).
-2*u*(u - 1)**2*(u + 2)
Let x be (-2)/20*-158*520/32. Let z = 259 - x. Factor 9/4*b - z*b**2 + 3/4*b**3 - 3/4.
3*(b - 1)**3/4
Let s(w) be the second derivative of 7/40*w**5 + 5/3*w**3 + 1/60*w**6 + 3/4*w**4 + 0 + 2*w**2 + 5*w. Find y such that s(y) = 0.
-2, -1
Let d(l) = 8*l**2 + 48*l + 12. Let k be d(-6). Suppose -67*f = -64*f - k. Factor -2/5*q**f + 0 + 2*q**2 - 6/5*q - 2/5*q**3.
-2*q*(q - 1)**2*(q + 3)/5
Let w be (1 - 0) + 14 + -5. Suppose 0 = 4*f + f - w. What is d in d**2 - 3*d**2 - f + 0 - 5*d = 0?
-2, -1/2
Let 0 - 2*z**2 - 4/7*z = 0. What is z?
-2/7, 0
Let x(q) be the second derivative of -q**5/5 - 35*q**4/18 - 16*q**3/3 + 3*q**2 - 4*q + 36. Factor x(l).
-2*(l + 3)**2*(6*l - 1)/3
Suppose -6 = -2*c, 2*v - 6*v - 37 = -3*c. Let s(d) = d**3 + 7*d**2 - d - 5. Let r be s(v). Factor 5*n**3 - 2 + r*n**3 - 4*n**2 - 5*n - 8*n**3.
-(n + 1)**2*(n + 2)
Find c, given that -8*c + 19*c**3 - 11*c**3 - 2*c**4 - 10 + 30*c**2 - 18*c**2 = 0.
-1, 1, 5
Factor -3/4*w + 0 - 1/8*w**2 + 1/8*w**3.
w*(w - 3)*(w + 2)/8
Let n(k) be the third derivative of 16*k**2 + 0*k - 1/60*k**5 + 0 - 2/9*k**3 - 1/180*k**6 + 1/630*k**7 + 1/9*k**4. Factor n(s).
(s - 2)*(s - 1)**2*(s + 2)/3
Suppose -207*r - 277*r - 62*r**3 + 58*r**3 + 88*r**2 = 0. Calculate r.
0, 11
Let j(z) be the third derivative of 0 + 0*z**7 + 1/3864*z**8 - 1/1380*z**6 + 0*z**4 - 3*z**2 + 0*z**5 + 0*z + 0*z**3. Solve j(f) = 0.
-1, 0, 1
Let z(j) be the second derivative of -2*j + 0*j**3 + 8*j**2 + 27 - 1/3*j**4. Factor z(q).
-4*(q - 2)*(q + 2)
Let v be 842/420 - (11 + -9). Let s(u) be the third derivative of 1/28*u**4 + 0 + 0*u + 0*u**3 - 2*u**2 + v*u**5. Factor s(t).
2*t*(t + 3)/7
Let y = -46 - -50. Let c = -4 + y. Determine a so that c*a + 2/9*a**3 + 8/9 - 2/3*a**2 = 0.
-1, 2
Let s be (39/12)/(-1 - 0) + 3. Let p = 2 - s. Factor p*f + 3/4 + 3/4*f**3 + 9/4*f**2.
3*(f + 1)**3/4
Suppose 3*c + 14 + 0 = 4*i, i = -4*c - 6. Let g be (i + -1)*(-10)/(-5). Let -x**3 - 28*x**g + 3*x**3 + 13*x**2 - 10*x - 7*x**3 = 0. What is x?
-2, -1, 0
What is k in -30*k + 53*k**4 + 5*k**5 + 112*k**3 - 205*k**3 + 118*k**3 - 53*k**2 = 0?
-10, -1, -3/5, 0, 1
Let p(i) be the second derivative of -i**4/90 - 7*i**3/45 - i - 5. Suppose p(t) = 0. Calculate t.
-7, 0
Let p(k) be the third derivative of -k**6/2340 + k**5/260 + k**4/39 - 7*k**3/6 - 37*k**2. Let o(v) be the first derivative of p(v). Factor o(l).
-2*(l - 4)*(l + 1)/13
Let y(b) = 4*b + 8. Let n be y(-2). Determine q, given that 10*q + 27*q**2 + n*q**3 + 2*q**3 - 4*q**3 + 12 - 31*q**2 = 0.
-3, -1, 2
Let y be 14/161 + (2 - (-192)/(-621)). Factor -y*u - 2/9*u**2 - 32/9.
-2*(u + 4)**2/9
Let c(i) be the third derivative of -i**8/336 - i**7/210 + i**6/60 + 86*i**2. Factor c(y).
-y**3*(y - 1)*(y + 2)
Suppose -2*s - 3*s - z - 94 = 0, 3*s + 34 = 5*z. Let l(f) = -3*f - 54. Let n be l(s). Factor n - 9/2*q + 3/2*q**2.
3*q*(q - 3)/2
Let h(j) be the second derivative of 1/2*j**2 + 0*j**3 - 1/8*j**4 + 0 - 3*j + 1/20*j**5. Let f(d) be the first derivative of h(d). Find q such that f(q) = 0.
0, 1
Suppose -4*l - 12 = -8*l. Suppose 9 = 2*u - l. Let n(t) = -12*t**2 + 58*t - 16. Let h(z) = 24*z**2 - 115*z + 32. Let w(d) = u*h(d) + 11*n(d). Factor w(v).
4*(v - 4)*(3*v - 1)
Let 141/2*d**2 + 6*d**5 - 27/2*d**3 - 105/2*d + 9 - 39/2*d**4 = 0. What is d?
-2, 1/4, 1, 3
Let j(p) be the first derivative of -2/15*p**3 + 1/5*p**2 + 1 + 0*p. What is c in j(c) = 0?
0, 1
Let d be (39*78/(-18))/(-1). Suppose 4*i + d = 177. Determine g, given that -1/3 - 5/6*g + 1/6*g**4 - 1/2*g**i + 1/6*g**3 = 0.
-1, 2
Let y(n) be the third derivative of 0 + 5/48*n**4 - 25/24*n**3 + 0*n - 1/240*n**5 + 16*n**2. Factor y(t).
-(t - 5)**2/4
Let g be ((-201)/(-6))/(3/(-30)). Let o = -3011/9 - g. Factor -o*z - 1/9*z**2 - 4/9.
-(z + 2)**2/9
Let s = 1383/10 - 138. Let g = 4/5 - s. What is x in g - x**5 + 13/4*x + 11/4*x**3 + 23/4*x**2 - 5/4*x**4 = 0?
-1, -1/4, 2
Let u be (-81)/(-165) - (-4)/(-44). Factor 3/5*h - u + 0*h**2 - 1/5*h**3.
-(h - 1)**2*(h + 2)/5
Let g(x) be the first derivative of -x**2 - 1/6*x**3 - 3/2*x - 12. Factor g(k).
-(k + 1)*(k + 3)/2
Let r(y) be the first derivative of 2*y**6/3 + 8*y**5/5 - 17*y**4 - 280*y**3/3 - 184*y**2 - 160*y - 32. Factor r(k).
4*(k - 5)*(k + 1)*(k + 2)**3
Let f be 5/20*768/224. Factor -6/7*z**3 + 0*z + 0 - 2/7*z**5 - 2/7*z**2 - f*z**4.
-2*z**2*(z + 1)**3/7
Let w(i) be the first derivative of -i**5/10 + 3*i**4/8 - i**3/2 + i**2/4 - 74. Factor w(k).
-k*(k - 1)**3/2
Let s(d) be the second derivative of -10*d + 0 + 0*d**2 + 2/21*d**3 - 1/42*d**4. Factor s(i).
-2*i*(i - 2)/7
Let g be (102/(-85))/((63/30)/(-7)) - 2. Suppose -10/7*l**g + 2/7*l**3 + 6/7*l + 18/7 = 0. What is l?
-1, 3
Let k(z) be the first derivative of 8*z**7/105 + z**6/2 + 16*z**5/15 + z**4/2 - 4*z**3/3 + 6*z**2 - 4. Let w(p) be the second derivative of k(p). Factor w(h).
4*(h + 1)**2*(h + 2)*(4*h - 1)
Let b(u) be the second derivative of u**5/110 + u**4/22 - 8*u**3/11 + 28*u**2/11 - 82*u. Let b(k) = 0. Calculate k.
-7, 2
Let q(g) be the first derivative of -g**6/39 + 2*g**5/65 + g**4/26 - 2*g**3/39 - 391. Factor q(i).
-2*i**2*(i - 1)**2*(i + 1)/13
Factor 1337*t**3 + 7*t**4 + t**2 - 6*t - 1333*t**3 - 6*t**4.
t*(t - 1)*(t + 2)*(t + 3)
Let 6*y**2 - 72*y + 19*y - 120 + 18*y**2 - 119*y + 8*y**4 + 84*y**3 = 0. Calculate y.
-10, -