*3 + 6/5*l**4 - 2/5*l**5 - 2/5 - 4/5*l**2 + 6/5*l = 0?
-1, 1
Let m(f) = -10*f**2 - 42*f - 8. Let k = 6 + -11. Let v(n) = 4*n**2 + 17*n + 3. Let x(q) = k*m(q) - 12*v(q). Let x(a) = 0. What is a?
-2, -1
Suppose -6*d + 5*d = z, -z + 10 = 3*d. Factor 0*k - k**2 - d*k + 3*k**2 - 2 + k**3 + 4*k.
(k - 1)*(k + 1)*(k + 2)
Let c(z) = -z**3 - 6*z**2 - 2*z + 24. Let g be c(-4). Factor 6/11*p - 2/11*p**3 + g + 4/11*p**2.
-2*p*(p - 3)*(p + 1)/11
Let y(v) = v**3 + v. Let i(f) = -f**3 - 12*f**2 + 46*f - 64. Let p(j) = -i(j) - 2*y(j). Factor p(z).
-(z - 4)**3
Suppose 5*t + 10 = 0, -3*l - 4*t = -1 - 0. Let 0*m**l - 7*m**2 - m**3 + 6*m**2 = 0. What is m?
-1, 0
Let f(j) be the second derivative of -2/7*j**2 + 1/70*j**5 - 2/21*j**3 + 0 - 6*j - 1/210*j**6 + 1/28*j**4. Solve f(p) = 0 for p.
-1, 2
Let r(u) = 5*u**5 + 10*u**4 + 15*u**3 + 5*u + 5. Let w(p) = -p**4 + p**3 + p + 1. Let o(t) = -r(t) + 5*w(t). Find f, given that o(f) = 0.
-2, -1, 0
Let z be -1 - (-1 + -10 - -2). Let b be -5 + z + (1 - -1). Factor -b*d**4 - 5 + 5 + 3*d**4 + d + 2*d**2 - d**5.
-d*(d - 1)*(d + 1)**3
Let g(n) be the first derivative of -n**4/14 - 2*n**3/21 + 3. Let g(v) = 0. What is v?
-1, 0
Let j(n) be the second derivative of -n**7/273 + 4*n**6/195 - 2*n**5/65 - n**4/39 + 5*n**3/39 - 2*n**2/13 - 5*n. Suppose j(p) = 0. What is p?
-1, 1, 2
Let d(j) = -4*j**3 - 6*j**2 - 14*j + 6. Let l(g) = 4*g**3 + 7*g**2 + 13*g - 5. Let b(k) = -5*d(k) - 6*l(k). Find s, given that b(s) = 0.
-2, -1, 0
Let b(r) be the second derivative of 0*r**2 + 0*r**3 + 1/40*r**5 - 2*r + 0*r**4 + 3/40*r**6 + 1/24*r**7 + 0. Determine x, given that b(x) = 0.
-1, -2/7, 0
Suppose 29*x**2 - 10*x**3 - 8*x**4 - 5 - 9*x**2 - 7*x**4 + 10*x = 0. Calculate x.
-1, 1/3, 1
Let d(i) be the second derivative of i**5/5 + 2*i**4/3 + 2*i**3/3 - 8*i. Suppose d(n) = 0. What is n?
-1, 0
Let l = -292 + 2635/9. Let d(k) be the third derivative of -5/63*k**7 + 2*k**2 + 0*k - l*k**4 - 4/9*k**3 + 0 - 23/30*k**5 - 7/18*k**6. Factor d(x).
-2*(x + 1)**2*(5*x + 2)**2/3
Let s(w) be the third derivative of 1/30*w**5 + 0*w + 1/3*w**3 + 1/6*w**4 + 8*w**2 + 0. Factor s(p).
2*(p + 1)**2
Suppose -11*k + k = -30. Factor -3*v**k + 0 + 3/2*v**4 - 3/2*v**2 + 3*v.
3*v*(v - 2)*(v - 1)*(v + 1)/2
Factor -z**2 + z - 3*z**2 + 3*z**2.
-z*(z - 1)
Let d(f) be the second derivative of -3*f**5/20 + 3*f**4/4 + f**3/2 - 9*f**2/2 + 19*f. Solve d(c) = 0.
-1, 1, 3
Factor 17 + 44*w + 17 - 38 - 121*w**2.
-(11*w - 2)**2
Let u(k) be the third derivative of -1/60*k**6 + 2*k**2 + 0*k**5 + 0 + 1/12*k**4 + 0*k**3 + 0*k. Factor u(x).
-2*x*(x - 1)*(x + 1)
Let k(z) be the third derivative of z**5/150 - z**4/180 - 2*z**2. Factor k(v).
2*v*(3*v - 1)/15
Let m(d) = 2*d - 9. Let k be m(6). Suppose 4*w + 5*t = 8, -3 + 13 = 5*w + k*t. Let -a**2 + a**w + a**3 - a**2 = 0. Calculate a.
0, 1
Suppose 50*a = 46*a + 8. Find h such that -16/9 + 4/3*h**a + 40/9*h + 6*h**4 - 10*h**3 = 0.
-2/3, 2/3, 1
Let s = -115 + 1267/11. Factor -16/11*p - 4*p**2 - 18/11*p**4 - 48/11*p**3 - s.
-2*(p + 1)**2*(3*p + 1)**2/11
Let z(b) = -b**2 + 9*b + 6. Let s be z(9). What is n in s*n**2 - 18 + 18 - 4*n = 0?
0, 2/3
Factor 0*p**2 + 6/5*p - 2/5*p**3 - 4/5.
-2*(p - 1)**2*(p + 2)/5
Let h = 8 - 5. Suppose 5*o = h + 12. Factor -3*a**4 + 12*a**2 - 5*a**o - 7*a**3 - 6*a**4.
-3*a**2*(a + 2)*(3*a - 2)
Let f(w) be the second derivative of -2*w**6/15 + 2*w**4/3 - 2*w**2 + 10*w. What is q in f(q) = 0?
-1, 1
Let w = -648 + 648. Solve 0*v**3 - 2/11*v**4 + 2/11*v**2 + 0*v + w = 0 for v.
-1, 0, 1
Let p(n) be the third derivative of n**6/120 - n**4/24 - 5*n**2. Let a(r) = -3*r**2 + 4*r - 1. Suppose 2*z = 3*z + 2. Let s(d) = z*a(d) - 2*p(d). Factor s(u).
-2*(u - 1)**3
Let m = 4 + 3. Let f = -5 + m. Factor -z**2 + 2*z**3 + z**3 - 3*z + 2*z**f - 1.
(z - 1)*(z + 1)*(3*z + 1)
Let k(v) = v**3 - 5*v**2 + 4*v + 2. Suppose -2*y + 10 = 0, -y - 17 = -5*l - 2. Let c be k(l). Factor 1 - 1/2*j**4 - 1/2*j**c + 3/2*j**3 - 3/2*j.
-(j - 2)*(j - 1)**2*(j + 1)/2
Let y be (20/4 + -14)/(-3). Factor 2/3*u - 2/3*u**y + 0 + 0*u**2.
-2*u*(u - 1)*(u + 1)/3
Solve -2/15*g + 0 - 2/15*g**2 = 0 for g.
-1, 0
Let p(g) = -g**3 - 5*g**2 - 1. Let c(i) = i**2 + 1. Let k(a) = c(a) + p(a). Factor k(t).
-t**2*(t + 4)
Let c(t) be the third derivative of t**8/84 - t**6/15 + t**4/6 + 7*t**2. Factor c(y).
4*y*(y - 1)**2*(y + 1)**2
Let s(d) be the first derivative of -d**6/660 + d**5/660 - 2*d**3/3 + 1. Let k(g) be the third derivative of s(g). Find a such that k(a) = 0.
0, 1/3
Let f = -21 - -505/24. Let v(s) be the second derivative of -s**2 + 1/3*s**3 + 0 + 2*s - f*s**4. Find i such that v(i) = 0.
2
Let r(o) be the first derivative of 3*o**6/16 + o**5/20 + 11. Determine m, given that r(m) = 0.
-2/9, 0
Let r(y) be the second derivative of -y**4/6 + 4*y**3/3 - 3*y**2 - 24*y. Suppose r(h) = 0. What is h?
1, 3
Suppose d + 2 = 7. Find z such that 6/7*z**3 + 0 + 2/7*z**d + 0*z + 6/7*z**4 + 2/7*z**2 = 0.
-1, 0
Let z(s) be the first derivative of 8*s**4 - 112*s**3/3 + 25*s**2 - 6*s - 8. Let z(p) = 0. Calculate p.
1/4, 3
Let c(k) be the first derivative of k**6/15 - 6*k**5/25 + k**4/5 + 4*k**3/15 - 3*k**2/5 + 2*k/5 + 3. Find g such that c(g) = 0.
-1, 1
Suppose -2*d + 12 = d. Factor -3 - 13*j**2 - 6*j**d - 41*j**3 - 9*j**4 - 15*j + 11*j**3 - 3*j**5 - 17*j**2.
-3*(j + 1)**5
Let j(r) be the second derivative of 0 + 0*r**4 + 0*r**2 - 1/120*r**5 + 0*r**3 + 4*r. Factor j(y).
-y**3/6
Let g = -3 + 13. Let -8*y + 20*y**3 + g*y - 4*y**4 - 14*y**2 - 6*y**3 + 2*y = 0. Calculate y.
0, 1/2, 1, 2
Let o = 570 + -569. Factor -o + 1/2*q**2 - 3/2*q + 3/2*q**3 + 1/2*q**4.
(q - 1)*(q + 1)**2*(q + 2)/2
Let t = -723 + 723. Let 0 - 2/3*z**2 + t*z + 2/3*z**3 = 0. What is z?
0, 1
Suppose -3*r = -23 - 7. Determine h so that -2*h**3 + 0*h**5 + 4*h**4 + 10 - r - 2*h**5 = 0.
0, 1
Let l(u) be the third derivative of 0 - 1/72*u**4 - 2*u**2 + 2/315*u**7 + 0*u**3 + 0*u + 1/90*u**5 + 7/360*u**6. Factor l(i).
i*(i + 1)**2*(4*i - 1)/3
Suppose o = -o + 6. Factor 0*d - d**4 - 4 + 2*d**3 - 2*d + 0 - 2*d + o*d**2.
-(d - 2)**2*(d + 1)**2
Let u(d) be the second derivative of -3*d**2 + d + 0 - 1/4*d**4 + 3/2*d**3. Factor u(l).
-3*(l - 2)*(l - 1)
Factor -3/2*w**3 + 0 + 0*w - 3/2*w**2.
-3*w**2*(w + 1)/2
Let 260*k**3 + 60*k**3 - 34*k**2 - 195*k + 45 + 82*k**2 + 32*k**2 = 0. Calculate k.
-1, 3/8
Let n(j) be the first derivative of 2 - j - 9/4*j**2 + 3/10*j**5 + 1/8*j**4 - 3/2*j**3. Suppose n(z) = 0. Calculate z.
-1, -1/3, 2
Let u(f) = -f + 8. Let p be u(6). Let p*h + 2*h + 69*h**2 - 75*h**2 + 2*h**4 = 0. What is h?
-2, 0, 1
Suppose -m**2 - 1 + 3*m**2 - 2*m**2 + m**2 = 0. What is m?
-1, 1
Let d(s) be the first derivative of -40*s**3/21 + 22*s**2/7 - 4*s/7 + 27. Factor d(u).
-4*(u - 1)*(10*u - 1)/7
Let g be 0 - (-8)/90*6. Let z(d) be the third derivative of 0 + g*d**4 + 49/300*d**6 + 0*d + d**2 - 4/15*d**3 - 77/150*d**5. Factor z(n).
2*(n - 1)*(7*n - 2)**2/5
Let l(f) be the first derivative of -4/11*f + 4/33*f**3 - 1/11*f**2 + 1/22*f**4 - 5. Factor l(p).
2*(p - 1)*(p + 1)*(p + 2)/11
Let h = 77/5 + -303/20. Factor x - h*x**2 - 1.
-(x - 2)**2/4
Let m(b) be the second derivative of -b**6/120 - 3*b**5/40 - b**4/4 - 2*b**3/3 - b. Let q(u) be the second derivative of m(u). Determine a so that q(a) = 0.
-2, -1
Let c(p) be the third derivative of p**5/60 - p**3/6 - 8*p**2. Suppose c(h) = 0. What is h?
-1, 1
Let a(c) be the first derivative of c**4 - 16*c**3 + 72*c**2 + 25. Factor a(f).
4*f*(f - 6)**2
Let a be -1*6/(-9)*1. Factor 2/3*d**2 + 0*d - a.
2*(d - 1)*(d + 1)/3
Let a(l) = -2*l**4 - 4*l**3 - 5*l**2 + 3*l + 3. Let t(m) = -m + 5*m**4 + 4*m**2 - 2 + 4*m**3 - 3*m**4 - m. Let c(n) = 2*a(n) + 3*t(n). Solve c(u) = 0 for u.
-1, 0
Suppose 5*w - 11 = 4. Determine y, given that 2*y + 2*y**4 + 2 + y**5 + 3*y**5 - 2*y**5 - w*y**2 - y**2 - 4*y**3 = 0.
-1, 1
Let i be ((-15)/(-4) + -4)*-2. Factor 3/4*k - i - 1/4*k**2.
-(k - 2)*(k - 1)/4
Let s = 2 - 4. Let u be 0/(s + (0 - -1)). Factor u*m - 2/5*m**2 + 2/5.
-2*(m - 1)*(m + 1)/5
Let p(v) be the second derivative of 2*v + 0 + 0*v**3 + 0*v**2 + 0*v**4 - 1/25*v**6 - 1/25*v**5 + 1/21*v**7. Find s, given that p(s) = 0.
-2/5, 0, 1
Let b(m) be the first derivative of 0*m**2 + 0*m - 1/7*m**6 + 1/14*m**4 + 4 + 4/35*m**5 + 0*m**3. Factor b(w).
-2*w**3*(w - 1)*(3*w + 1)/7
Let h(z) be the second derivative of 1/48*z**4 + 1