ivative of i**5/5 + 4*i**4/3 + 2*i**3 - i. Suppose t(a) = 0. What is a?
-3, -1, 0
Let i(k) = -k**2 + 2*k - 1. Let j be i(1). Let u(v) = 6*v**2 - 2*v + 1. Let g be u(1). Solve -2*y**2 + y + 4*y**4 + j*y**4 - y**g + y**4 - 3*y**4 = 0.
-1, 0, 1
Let l be 6 + -2 + 0 + -2. Let c(k) be the first derivative of 4 - k - 1/3*k**3 + k**l. Solve c(v) = 0.
1
Factor 18/7*u**2 - 2/7 - 16/7*u.
2*(u - 1)*(9*u + 1)/7
Determine a, given that -14/5*a**4 + 16/5*a - 8/5 + 42/5*a**2 + 4/5*a**3 = 0.
-1, 2/7, 2
Determine c so that 6/5*c + 2*c**3 + 0 - 2/5*c**4 - 14/5*c**2 = 0.
0, 1, 3
Solve 2/5 - 2/5*m**2 + 2/5*m - 2/5*m**3 = 0.
-1, 1
Let g be 1/((-15)/(-6) - 2). Let x = g - 2. Determine i so that x*i + 2/3*i**3 + 0 - 2/3*i**2 = 0.
0, 1
Let o = -49 + 52. Let h(j) be the first derivative of 4*j - 2*j**3 + 7/2*j**4 - o*j**2 + 1 - 6/5*j**5. Factor h(l).
-2*(l - 1)**3*(3*l + 2)
Let n be 4/80 + (-4)/(-20). Factor -n*d**2 + 1/4*d + 1/2.
-(d - 2)*(d + 1)/4
Solve -12/7*u**2 + 32/7*u**4 - 46/7*u**3 - 6/7*u**5 - 16/7 + 8*u = 0 for u.
-1, 1/3, 2
Factor 0 - 4/9*y - 2/9*y**2.
-2*y*(y + 2)/9
Let k be 18/84*(57/18 + -2). Factor 1/4*r**4 - 1/4*r**2 + 1/4*r**3 + 0 - k*r.
r*(r - 1)*(r + 1)**2/4
Let h(b) be the first derivative of b**6/70 - 3*b**5/140 - b**4/28 + b**3/14 - b + 2. Let y(m) be the first derivative of h(m). Let y(c) = 0. Calculate c.
-1, 0, 1
Let c(v) be the second derivative of 0*v**3 + 0*v**2 + 1/60*v**4 + 0 - 5*v - 1/100*v**5. Let c(b) = 0. What is b?
0, 1
Let z(r) be the third derivative of r**6/240 - r**4/16 + r**3/6 + 12*r**2. Let z(i) = 0. What is i?
-2, 1
Let v(x) = -42*x**5 + 96*x**4 - 15*x**2 + 3. Let z(m) = 41*m**5 - 97*m**4 + 16*m**2 - 4. Let q(s) = 4*v(s) + 3*z(s). Solve q(n) = 0.
-1/3, 0, 2/5, 2
Let f(q) be the third derivative of -2/33*q**3 + 0 + 1/330*q**5 + 2*q**2 + 1/132*q**4 + 0*q. Factor f(u).
2*(u - 1)*(u + 2)/11
Let i(l) be the first derivative of -2 + 1/3*l**3 - l**2 + 1/4*l**4 + 0*l. Factor i(m).
m*(m - 1)*(m + 2)
Let t(o) be the first derivative of -1 - 1/15*o**5 - 5/9*o**3 - 1/3*o**4 - 1/3*o**2 + 0*o. Suppose t(v) = 0. Calculate v.
-2, -1, 0
Let k(y) be the second derivative of -y**7/63 + 8*y**6/45 - 5*y**5/6 + 19*y**4/9 - 28*y**3/9 + 8*y**2/3 - 17*y. Suppose k(s) = 0. What is s?
1, 2
Let s(v) be the third derivative of v**6/540 - v**5/45 + v**4/9 - 8*v**3/27 - 18*v**2. Factor s(u).
2*(u - 2)**3/9
Let m(d) be the first derivative of 3*d**2/2 - 3*d - 3. Let t be m(2). Determine i so that -3*i**2 + 14*i**4 - 2*i**2 + 11*i**t - 2*i + 0*i**2 = 0.
-1, -2/7, 0, 1/2
Let x(g) be the first derivative of -g**2 + 2/5*g**5 + g**4 - 4/3*g**3 + 2*g - 1/3*g**6 + 2. Factor x(c).
-2*(c - 1)**3*(c + 1)**2
Let y = -11 - -14. Let 4*b**4 - 8*b**4 - 14*b**y + 6*b**2 - 22*b**2 - 6*b = 0. Calculate b.
-3/2, -1, 0
Let o(l) be the second derivative of -l**5/10 - 2*l**4/9 - 4*l**3/27 - 2*l. Factor o(d).
-2*d*(3*d + 2)**2/9
Suppose w - v + 15 = 5, -5*v = -4*w - 44. Let l be 35/42 + 1/w. Find f such that 0 + 28/3*f**4 - f**2 - 9*f**3 + l*f = 0.
-2/7, 0, 1/4, 1
Let w(o) be the first derivative of -4*o**3/3 - 4*o**2 - 4*o - 7. Determine i so that w(i) = 0.
-1
Let d(n) be the first derivative of n**8/2520 + n**7/420 + n**6/180 + n**5/180 - 2*n**3/3 + 1. Let z(c) be the third derivative of d(c). Factor z(p).
2*p*(p + 1)**3/3
Let s(r) be the second derivative of -1/18*r**3 + 0*r**2 + 1/36*r**4 + 2*r + 0. Factor s(m).
m*(m - 1)/3
Let n(i) be the third derivative of i**8/216 + i**7/105 + i**6/270 + 3*i**2. What is a in n(a) = 0?
-1, -2/7, 0
Let v(o) be the third derivative of o**5/60 - o**4/8 - o**3/6 + 5*o**2. Let n be v(4). Factor -1/2*z - z**n - 1/2 + 3/2*z**5 - 5/2*z**4 + 3*z**2.
(z - 1)**3*(z + 1)*(3*z + 1)/2
Suppose -6*r = -5*r. Suppose r = -7*h + 20 + 1. Factor 1/2*a**h + a**2 + 0 + 0*a.
a**2*(a + 2)/2
Let q(n) be the second derivative of n**4/8 - n**3/6 + 12*n. Find k such that q(k) = 0.
0, 2/3
Let m be (-3 + 5)/((-2)/(-3)). Let l(h) be the third derivative of 0*h + 1/15*h**5 + 0 - 1/8*h**4 + 1/9*h**m - 1/72*h**6 - 2*h**2. Solve l(c) = 0 for c.
2/5, 1
Determine r so that 72*r**5 + 276*r**4 + 191*r**2 + 697/2*r**3 + 4 + 46*r = 0.
-2, -2/3, -1/4
Suppose 3*z + 3*f - 6 = 0, 3*z - 6*z + 5*f + 14 = 0. Factor -23*k - k**2 + k**2 + 26*k - 3*k**z.
-3*k*(k - 1)*(k + 1)
Let m(l) be the second derivative of l**7/21 - 11*l**6/30 + 23*l**5/20 - 23*l**4/12 + 11*l**3/6 - l**2 + 9*l. Determine s, given that m(s) = 0.
1/2, 1, 2
Suppose 16 = 3*m + 10. Let i(v) = 6*v**3 + 16*v**2 + 4*v - 4. Let n(o) = o**3 + o**2 + 1. Let w(g) = m*n(g) - i(g). Let w(h) = 0. What is h?
-3, -1, 1/2
Let x(s) be the third derivative of -s**6/30 + 4*s**5/15 - 2*s**4/3 - 13*s**2. Solve x(l) = 0.
0, 2
Let s = 86 + -81. Find f, given that -9/2*f**3 + f - 5/2*f**4 + 0 + 7/2*f**s + 5/2*f**2 = 0.
-1, -2/7, 0, 1
Let k(n) be the first derivative of 4*n**5/35 - n**4/7 - 4*n**3/21 + 2*n**2/7 - 23. Determine b so that k(b) = 0.
-1, 0, 1
Let m(y) be the first derivative of 5*y**4/4 + 5*y**3 - 20*y - 11. Factor m(t).
5*(t - 1)*(t + 2)**2
Let k be -1 + ((-3)/5)/((-1)/5). Let m(w) be the second derivative of 0 - 5/3*w**3 - 1/10*w**5 + 2/3*w**4 - k*w + 2*w**2. Factor m(i).
-2*(i - 2)*(i - 1)**2
Let s(q) be the second derivative of q**5/50 - 13*q**4/30 + 7*q**3/3 + 49*q**2/5 + 41*q. Solve s(c) = 0 for c.
-1, 7
Let s(r) be the second derivative of r**7/168 + r**6/60 - r**4/24 - r**3/24 + 4*r. Factor s(c).
c*(c - 1)*(c + 1)**3/4
Let t(h) be the second derivative of 2/3*h**3 - 4*h**2 + 4*h + 0 + 1/3*h**4. Suppose t(g) = 0. Calculate g.
-2, 1
What is u in -2/9*u**3 + 0 + 0*u + 0*u**2 + 2/9*u**4 = 0?
0, 1
Let h(y) be the first derivative of -4/75*y**5 + 4/15*y - 4 - 1/15*y**4 + 1/45*y**6 + 16/45*y**3 - 7/15*y**2. Solve h(l) = 0.
-2, 1
Let n be ((196/70)/7)/(2/420). Suppose -16/3 - n*c**2 - 40*c - 98/3*c**3 = 0. What is c?
-2, -2/7
Let m(o) be the second derivative of o**5/270 - o**3/27 + o**2 + 2*o. Let s(h) be the first derivative of m(h). Find k, given that s(k) = 0.
-1, 1
Let p(w) be the third derivative of -1/660*w**6 + 0*w**3 + 0*w**4 + 0 - 2*w**2 + 0*w + 1/330*w**5. Factor p(f).
-2*f**2*(f - 1)/11
Suppose 0*k = -5*k + 70. Let w be ((-4)/k)/((-25)/35). Suppose w*u**3 - 6/5*u**2 - 2/5 + 6/5*u = 0. What is u?
1
Let g = 15 - 13. Factor -7*d**5 - 2*d**4 + g*d**3 - 4*d**3 + 2*d**2 + 9*d**5.
2*d**2*(d - 1)**2*(d + 1)
Let y(c) = 61*c**5 + 35*c**4 - 16*c**3 - 5*c**2 + 5*c + 5. Let o(h) = 30*h**5 + 18*h**4 - 8*h**3 - 2*h**2 + 2*h + 2. Let d(k) = -5*o(k) + 2*y(k). Factor d(a).
-4*a**3*(a + 1)*(7*a - 2)
Let x(t) = -2*t**4 + 3*t**3 - 7*t**2 - 10*t - 5. Let a(l) = -l**4 - l - 1. Let z(v) = 28*a(v) - 4*x(v). What is d in z(d) = 0?
-1, 2/5, 1
Let x = 8 - 18. Let d be (-1 - -7)*x/(-15). Determine s so that s + 2*s**3 + 4*s**2 + 2*s - 5*s - d = 0.
-2, -1, 1
Factor -6/23*t**3 + 6/23*t**4 + 0*t + 2/23*t**2 - 2/23*t**5 + 0.
-2*t**2*(t - 1)**3/23
Let r be (-18)/(-36) - (-11)/2. Factor r*s**2 + 14/3*s - 4/3.
2*(s + 1)*(9*s - 2)/3
Suppose 0 = -5*x + 4*x. Let z(n) = n**2 - 3*n - 2. Let r be z(4). Determine h so that 1/3*h**r + 1/3*h**3 + x - 1/3*h**4 - 1/3*h = 0.
-1, 0, 1
Let h = 33 + -29. Let n(o) be the second derivative of 0*o**2 + h*o + 1/3*o**4 + 0 + 1/6*o**3. Factor n(v).
v*(4*v + 1)
Let r(t) be the second derivative of -t**8/1120 + t**7/840 + t**6/240 - 5*t**4/12 - 5*t. Let i(x) be the third derivative of r(x). Factor i(q).
-3*q*(q - 1)*(2*q + 1)
Let y(z) = z**2 + 1. Let o(x) = 12*x**2 + 16*x + 24. Let m(s) = o(s) - 8*y(s). Factor m(a).
4*(a + 2)**2
Let i = 8 - 0. Let o = -22/3 + i. Factor -o*h**2 + 2/9 + 4/9*h.
-2*(h - 1)*(3*h + 1)/9
Factor -10*u + 1/3*u**2 + 75.
(u - 15)**2/3
Let l(w) be the third derivative of 0*w - 1/210*w**6 - 2*w**2 + 1/735*w**7 + 0 - 1/21*w**3 + 0*w**5 + 1/42*w**4. Determine q so that l(q) = 0.
-1, 1
Determine s so that 0*s**5 - 3*s + s**2 - 18*s**3 - 13*s**2 - s**5 - 2*s**5 - 12*s**4 = 0.
-1, 0
Let p = 178/1221 - -4/111. Factor 0*f**3 + 0*f**2 + 2/11*f**5 + 0*f + 0 - p*f**4.
2*f**4*(f - 1)/11
Suppose -63 + 15 = -16*m. Factor -15/4*s**2 + 0 - m*s**3 - 3/4*s.
-3*s*(s + 1)*(4*s + 1)/4
Let d be 0 + 3 + (1 - 2). Suppose -2*k**2 + 5*k**2 + k**d - 5*k**2 + k = 0. What is k?
0, 1
Let c be (-14)/(-3*4/6). Let g(q) be the third derivative of q**2 + 1/210*q**5 + 0 + 0*q**3 - 1/735*q**c + 1/84*q**4 - 1/420*q**6 + 0*q. Factor g(z).
-