 + 0 = 0?
-1, 0, 1
Let t be (-3)/(4 + 1 + -6). Let u(h) be the second derivative of 5*h + 1/35*h**6 - 1/7*h**2 + 1/7*h**4 + 0 - 4/35*h**5 + 0*h**t. Factor u(a).
2*(a - 1)**3*(3*a + 1)/7
Let 56/3 - 2/3*a**3 - 8*a - 10*a**2 = 0. What is a?
-14, -2, 1
Let d(u) be the third derivative of 1/540*u**6 + 0*u + 4*u**2 + 0 - 1/27*u**4 - 5/6*u**3 - 1/135*u**5. Let x(o) be the first derivative of d(o). Factor x(n).
2*(n - 2)*(3*n + 2)/9
Suppose -4*d = -28 + 4. Determine r, given that 15*r**3 - r**4 + d*r**2 + r**4 - 21*r**4 = 0.
-2/7, 0, 1
Let o(d) be the third derivative of -1/270*d**5 + 0 - 5/27*d**3 + 26*d**2 + 0*d - 1/18*d**4. Find p such that o(p) = 0.
-5, -1
Let r be (-6)/9*(940/(-8) + -4). Factor 3*g + 5*g**5 + r*g**3 - 36*g**3 - 25*g**4 - 40*g**2 + 7*g + 5*g**2.
5*g*(g - 2)*(g - 1)**3
Let a(j) be the second derivative of -j**4/6 - 2*j**3 - 2*j + 34. Factor a(n).
-2*n*(n + 6)
Suppose -23*o - 36 = -32*o. Find q such that -q**2 + 0 + 0*q - 3/2*q**3 + 0*q**o + 1/2*q**5 = 0.
-1, 0, 2
Let l = 367/36 - 101/12. Let b(m) be the first derivative of -1/18*m**4 - 4/3*m**2 - l*m + 4 - 4/9*m**3. Let b(x) = 0. Calculate x.
-2
Let o be (1/(-4) + (-2071)/436)/(6/(-2)). Suppose -o*p**2 + 5*p + 0 = 0. Calculate p.
0, 3
Let u = -13751/30 + 2755/6. Solve 0*y + 0 + 4/5*y**3 + u*y**2 = 0.
-1, 0
Let w(p) = 3*p**3 - 30*p + 29. Let b be w(1). Factor -8/11 - 8/11*i - 2/11*i**b.
-2*(i + 2)**2/11
Let f = -22 + 22. Suppose -5*p + 3*k + 19 = f, -p + 3*k = -7 - 4. Factor 5*s**2 - 2 - 6*s**2 + p*s + 2.
-s*(s - 2)
Let g(w) be the first derivative of w**6/1260 - w**5/140 + w**4/42 + 4*w**3 - 11. Let i(o) be the third derivative of g(o). What is b in i(b) = 0?
1, 2
Let c(y) be the third derivative of y**6/480 + 13*y**5/240 + 218*y**2 + 2. Suppose c(u) = 0. Calculate u.
-13, 0
Let q(x) = -3*x**2 + 10*x - 16. Let f(n) = -7*n**2 + 21*n - 31. Let k(i) = 2*f(i) - 5*q(i). Let p be k(3). What is d in 3/4*d + 0 + 9/4*d**3 - p*d**2 = 0?
0, 1/3, 1
Let t(v) be the second derivative of -v**4/72 - 31*v**3/18 - 961*v**2/12 + 13*v. Factor t(i).
-(i + 31)**2/6
Let l(z) = 3*z**2 - z - 2. Let x(p) = p**2 - 1. Let q = 24 + -27. Let g be q + (-13)/(39/36). Let j(k) = g*x(k) + 6*l(k). Factor j(b).
3*(b - 1)**2
Let z(m) = m**3 + 8*m**2 - 9*m + 3. Let w be (20 - (1 + 1))/(-2). Let y be z(w). Factor g**2 - 4*g - g**y - 3*g**2 + 0*g - 2*g**2.
-g*(g + 2)**2
Let a be ((-4)/15)/(4/(-3)). Suppose 0 + 6/5*o - a*o**2 = 0. Calculate o.
0, 6
Let o(j) = 79*j**2 + 157*j + 19. Let x(c) = -80*c**2 - 156*c - 20. Let v(l) = 4*o(l) + 3*x(l). Factor v(w).
4*(w + 2)*(19*w + 2)
Let z(f) be the first derivative of 25*f**7/84 + 7*f**6/12 + 11*f**5/40 + f**4/24 - 21*f + 9. Let x(t) be the first derivative of z(t). Factor x(c).
c**2*(c + 1)*(5*c + 1)**2/2
Let y(r) be the first derivative of r**5/12 - 13*r**2/2 - 18. Let v(m) be the second derivative of y(m). Factor v(n).
5*n**2
Let l(y) = -29*y**4 + 499*y**3 - 665*y**2 + 184*y + 22. Let t(c) = 15*c**4 - 249*c**3 + 333*c**2 - 93*c - 12. Let b(r) = -6*l(r) - 11*t(r). Factor b(w).
3*w*(w - 27)*(w - 1)*(3*w - 1)
Suppose 55*p - 605/2 - 5/2*p**2 = 0. What is p?
11
Let r(o) = o**2 + 12*o + 36. Let j be r(-6). Factor j + 0*i + 2/3*i**3 - 4/3*i**2.
2*i**2*(i - 2)/3
Let i = -75 - -120. Determine n so that -i*n**2 - 6*n**4 - 54*n**4 + 27*n**5 + 39*n**2 + 39*n**3 = 0.
0, 2/9, 1
Let -60/7*s**2 + 52/7*s + 8/7 = 0. What is s?
-2/15, 1
Let c(h) = -9*h**3 + h**2 + 24*h - 16. Let q be (-10)/3*9*(-2)/(-15). Let a(p) = 10*p**3 - 25*p + 15. Let i(w) = q*a(w) - 5*c(w). Determine n so that i(n) = 0.
-2, 1, 2
Let b(r) be the third derivative of -4*r**7/665 - 23*r**6/1140 + 33*r**5/190 - r**4/38 - 8*r**3/57 + 5*r**2 - 5. Solve b(l) = 0.
-4, -1/4, 1/3, 2
Let f(p) be the first derivative of -3*p**4/4 - 63*p**3 + 387*p**2/2 - 195*p - 694. Factor f(q).
-3*(q - 1)**2*(q + 65)
Let m(l) = -4*l**4 - 31*l**3 - 54*l**2 + 27*l + 9. Let v(s) = s**4 + 8*s**3 + 13*s**2 - 6*s - 2. Let q(x) = 4*m(x) + 18*v(x). Factor q(u).
2*u**2*(u + 1)*(u + 9)
Let r(f) = -f**2 + 70*f + 146. Let b be r(72). Factor -2*h**4 - 1/2*h + 3/2*h**3 + h**2 - b*h**5 + 0.
-h*(h + 1)**2*(2*h - 1)**2/2
Let z be ((-1527)/(-21) - (-10)/35) + -5. Let f be -2 + 0 - -1 - -6. Find h such that 20*h**2 + 40*h**3 - 25*h**f - 35*h**4 - 68*h + z*h = 0.
-2, -2/5, 0, 1
Let d(p) = -9 - 4 + 14. Let u(q) = -3*q**2 + 3*q - 5. Let h be (11/33)/(2/30). Let a(b) = h*d(b) + u(b). Solve a(x) = 0.
0, 1
Let z(f) = -f**3 + 9*f**2 - 4*f - 14. Let h be z(7). Factor h*x**3 + 8 + 36*x + 3*x**2 - 8*x**2 - 10*x**5 + 24*x**4 + 69*x**2 + 14*x**5.
4*(x + 1)**4*(x + 2)
Suppose -4*h - 2*q = 4, 3*q = 7 - 13. Let d(a) be the first derivative of -1 + 0*a**4 + h*a + 0*a**2 + 2/9*a**6 + 2/9*a**3 - 2/5*a**5. Factor d(i).
2*i**2*(i - 1)**2*(2*i + 1)/3
Let l(g) = 2*g**2 - 4*g + 3. Let t be l(2). Factor -4*p + 4*p**t - 2*p**4 + 4 - 6 + 4.
-2*(p - 1)**3*(p + 1)
Let c = -883 + 105961/120. Let k(u) be the third derivative of -5*u**2 - c*u**6 + 0*u + 1/630*u**7 + 1/60*u**5 - 1/72*u**4 + 0*u**3 + 0. Factor k(i).
i*(i - 1)**3/3
Let o be (32/(-140))/(36/(-30)). Factor o*j + 0 - 2/21*j**2.
-2*j*(j - 2)/21
Let 4/3*l**2 + 784/3 + 112/3*l = 0. What is l?
-14
Let y(m) = m**3 - m**2 - 3*m - 4. Let p be y(3). Let 100*c**2 - p*c**3 - 33*c**2 - 5*c - 35*c**2 - 22*c**2 = 0. What is c?
0, 1
Let m be (4 + -3 - 2)*-2. Suppose 2*a = 3*k - 12, 3*a + 7 + 6 = m*k. Suppose -16/5 + 36/5*q**2 + 24/5*q + k*q**3 = 0. Calculate q.
-2, 2/5
Let c = -11681 + 35045/3. Determine z, given that -2/3*z + 2/3*z**2 + 2/3*z**3 - c = 0.
-1, 1
Determine w so that -3*w**4 - 21*w + 54 - 87/2*w**2 + 117/4*w**3 - 3/4*w**5 = 0.
-9, -1, 2
Factor -11*c**3 - 5*c**4 - 12*c**3 - 13*c**2 - 7*c**2 - 2*c**3.
-5*c**2*(c + 1)*(c + 4)
Let s(p) be the second derivative of -p**8/3360 + p**6/120 + p**5/30 - 5*p**4/6 + 7*p. Let r(o) be the third derivative of s(o). Let r(b) = 0. What is b?
-1, 2
Let q(u) be the first derivative of u**3/12 - 45*u**2/4 + 2025*u/4 + 168. Factor q(o).
(o - 45)**2/4
Let y(r) be the first derivative of r**6/3 + 16*r**5/5 + 12*r**4 + 64*r**3/3 + 16*r**2 + 107. Determine m so that y(m) = 0.
-2, 0
Let p(z) be the second derivative of 18*z + 1/5*z**3 - 2/25*z**5 + 1/105*z**7 + 1/15*z**4 - 2/5*z**2 + 0*z**6 + 0. Suppose p(a) = 0. Calculate a.
-2, -1, 1
Suppose -k - 14*l = -10*l + 6, 4*k + 5*l = -2. Factor 2/9*x**4 + 2/9*x**3 - 2/3*x**k - 4/9 - 10/9*x.
2*(x - 2)*(x + 1)**3/9
Suppose 2*p - 10*c - 11 = -11*c, 4*c - 22 = 3*p. Let -7*q - 1/2*q**p - 49/2 = 0. Calculate q.
-7
Let q(y) be the third derivative of y**5/270 - 5*y**4/108 - 14*y**3/27 + 5*y**2 - 1. Factor q(p).
2*(p - 7)*(p + 2)/9
Let h(j) = -4*j**3 + 2*j. Let p be h(-2). Suppose -5*l = -d - 22, 0*d = 5*l - 4*d - p. Factor 2/3*f**2 + 2/3*f**l - 2*f - 4/3 + 2*f**3.
2*(f - 1)*(f + 1)**2*(f + 2)/3
Let w = -2595 - -2599. Let m(n) be the second derivative of -2*n**2 - 5/12*n**w + 0 - 1/20*n**5 - 4/3*n**3 - 9*n. Find r, given that m(r) = 0.
-2, -1
Let u = -695 + 697. Let t(b) be the second derivative of 1/3*b**4 - 4*b**u - 2*b + 0 - 2/3*b**3. Find d, given that t(d) = 0.
-1, 2
Determine r so that 8/7*r**3 + 142/7*r**2 + 100/7*r - 34/7 = 0.
-17, -1, 1/4
Suppose -12 = 10*v - 12. Suppose v + p**2 + 0*p + 1/2*p**3 = 0. Calculate p.
-2, 0
Let x(h) = 2*h - 9. Let b be x(-4). Let u = b - -20. Determine k so that 3/2*k**2 - u*k + 3/2 = 0.
1
Let q(s) be the first derivative of 1/6*s**4 + 0*s**5 - 7 - 1/4*s**2 - 1/36*s**6 + 1/9*s**3 - 1/3*s. Find w, given that q(w) = 0.
-1, 1, 2
Factor 6/19*h**2 + 2/19*h**4 - 8/19*h**3 + 0 + 0*h.
2*h**2*(h - 3)*(h - 1)/19
Factor 7/3*b**2 + 0 - 3/2*b**3 + 0*b - b**4 + 1/6*b**5.
b**2*(b - 7)*(b - 1)*(b + 2)/6
Let v = -8909 + 8909. Factor -7/2*k**2 + v + 3*k.
-k*(7*k - 6)/2
Let i = -114 - -116. What is g in 3*g**5 - 32*g**i - 199*g**4 - 18 + 51*g - 13*g**3 + 209*g**4 - g**3 = 0?
-3, 2/3, 1
Suppose h + 5 - 29 = -5*f, 4*f - 3*h = 23. Let m(z) be the third derivative of -1/180*z**6 + 0*z + 0 - 2/9*z**3 + 1/12*z**4 - 5*z**2 + 0*z**f. Factor m(q).
-2*(q - 1)**2*(q + 2)/3
Let y(v) = v**3 + 17*v**2 + 4. Let p be y(-17). Find t such that t**5 + 6*t - 15*t**2 + 9*t**3 + 8*t**4 + 0*t**5 - p*t**5 - 5*t**4 = 0.
-2, 0, 1
Factor -8 - 7*k**2 - 2*k**3 + 3*k**3 + 7*k + 7*k.
(k - 4)*(k - 2)*(k - 1)
Let t(n) be the second derivative of -n**8/10080 - n**7/2520 + n**6/1080 + 3*