 2/7*r**2 = 0?
-1/4, 0, 1
Let y be 12/(-3) - (-8)/4. Let a(p) = -p**3 - 5*p**2 - p - 3. Let d(m) = m**3 + 6*m**2 + 4. Let c(u) = y*d(u) - 3*a(u). Solve c(x) = 0 for x.
-1
Let s(x) be the third derivative of -x**8/8960 - x**7/3360 + x**4/6 - x**2. Let h(k) be the second derivative of s(k). Factor h(q).
-3*q**2*(q + 1)/4
Let s(m) be the first derivative of 25/2*m**4 - 16*m + 44*m**2 - 140/3*m**3 + 1. Factor s(y).
2*(y - 2)*(5*y - 2)**2
Let n(w) = 8*w**5 + 2*w**4 + 7*w**3 + 7*w. Let i(r) = 18*r**4 + r**3 - 4*r - 5*r**3 - 4*r**5 - 19*r**4. Let m(q) = -7*i(q) - 4*n(q). Factor m(v).
-v**4*(4*v + 1)
Let c be (-4)/(-3) - (-35)/(-42). Find l such that -3/4*l + c + 1/4*l**2 = 0.
1, 2
Suppose 6 = -3*p, -2*t + 5*t - 4 = -p. Let q = -7/3 - -3. Solve q*b + 0 - t*b**3 + 4/3*b**2 = 0 for b.
-1/3, 0, 1
Let j(h) be the third derivative of h**8/20160 + h**7/7560 - h**6/2160 - h**5/360 + h**4/24 - h**2. Let r(x) be the second derivative of j(x). Factor r(z).
(z - 1)*(z + 1)**2/3
Factor -2*k**2 + 2*k**3 - 2/3*k**4 + 2/3*k + 0.
-2*k*(k - 1)**3/3
Let v(s) be the second derivative of 0 + 1/3*s**4 - 1/3*s**3 - s + 1/10*s**5 - 2*s**2. Factor v(t).
2*(t - 1)*(t + 1)*(t + 2)
Let r(f) = -4*f**3 + 7*f**2 - 2*f + 5. Let l(k) = -11*k**3 + 20*k**2 - 7*k + 14. Let i(c) = -3*l(c) + 8*r(c). Suppose i(b) = 0. Calculate b.
1, 2
Let y(c) = -c**2 + 10*c - 6. Let a = 15 + -6. Let b be y(a). Suppose 2/5*m**b - 2/5*m**4 + 2/5*m**2 + 0 - 2/5*m = 0. What is m?
-1, 0, 1
Let r(b) = b**4 - 19*b**3 - 47*b**2 - 48*b - 16. Let y(d) = d**4 + d**3 + d**2. Let g(h) = r(h) - 5*y(h). Determine z so that g(z) = 0.
-2, -1
Let z(u) be the third derivative of -7/24*u**4 + 7*u**2 + 1/12*u**5 - 1/120*u**6 + 0 + 0*u + 1/2*u**3. Factor z(w).
-(w - 3)*(w - 1)**2
Let d(o) be the second derivative of -2*o**6/15 - 3*o**5/5 - o**4/3 + 2*o**3 + 4*o**2 + 3*o. Factor d(h).
-4*(h - 1)*(h + 1)**2*(h + 2)
Let r(u) be the first derivative of 3*u**4/2 - u**3 - 3*u**2 + 3*u - 1. Factor r(m).
3*(m - 1)*(m + 1)*(2*m - 1)
Let d(u) be the first derivative of -u**6/720 + u**4/12 + 4*u**3/3 - 7. Let f(a) be the third derivative of d(a). Determine q so that f(q) = 0.
-2, 2
Let y(t) = -3*t**3 - 3*t**2 - 1. Suppose -2*o - 3 + 1 = 0. Let k(r) = -1. Let u(w) = o*y(w) + k(w). Solve u(j) = 0.
-1, 0
Let t be ((-2)/550)/(7 - 148/20). Let l(s) be the second derivative of -1/11*s**2 + 0 - 1/22*s**4 + 1/11*s**3 + s + t*s**5. Find p such that l(p) = 0.
1
Factor 0*t + 0 + 2*t**5 - 3/2*t**4 + 0*t**2 - 1/2*t**3.
t**3*(t - 1)*(4*t + 1)/2
Let v(q) be the third derivative of q**8/42 - 22*q**7/105 + 29*q**6/48 - 19*q**5/60 - 13*q**4/12 - 2*q**3/3 + 5*q**2. Factor v(w).
(w - 2)**3*(4*w + 1)**2/2
Suppose v**5 - 24*v**3 + 16*v - 5*v**5 - 16*v**4 + v**5 + 0*v**5 = 0. Calculate v.
-2, 0, 2/3
Let t = -23/4 + 169/28. Suppose -2/7*s + 0 - 2/7*s**4 + 2/7*s**3 + t*s**2 = 0. What is s?
-1, 0, 1
Let d(q) be the first derivative of -q**3/15 - 8. Factor d(o).
-o**2/5
Solve -5/2 - 5*y + 15/2*y**2 = 0.
-1/3, 1
Let d(c) = 6*c - 2*c - 6 - c - c. Let o be d(5). Let s**2 + 0*s**4 + 3*s**2 - 2 - 2*s**o = 0. What is s?
-1, 1
Solve -3*t**5 + 8*t**2 + 22*t**3 + 8*t**3 - 8*t**2 + 9*t**4 = 0 for t.
-2, 0, 5
Let b(i) = -2*i**2 + 18*i - 16. Let o(m) = -m + 1. Let v(c) = -2*b(c) - 36*o(c). Determine a, given that v(a) = 0.
-1, 1
Let h = 133/39 + -40/13. Let -l - l**4 + h + 1/3*l**5 + 2/3*l**2 + 2/3*l**3 = 0. What is l?
-1, 1
Factor 1/4*m**4 + 3/2*m**2 - m - m**3 + 1/4.
(m - 1)**4/4
Let w(f) be the second derivative of -f**4/15 + 8*f**3/15 - 18*f. Let w(y) = 0. What is y?
0, 4
Let f(k) be the third derivative of -k**9/120960 + k**8/13440 - k**7/5040 - k**5/30 - 4*k**2. Let q(c) be the third derivative of f(c). Factor q(r).
-r*(r - 2)*(r - 1)/2
Let j = 3272/5 - 652. Find t such that 12/5*t + 3/5*t**3 + j*t**2 + 0 = 0.
-2, 0
Suppose -7*j = -2*j. Suppose 14*q**3 + 0*q**4 + 6*q**4 + j*q**4 + 8*q**2 + 6*q**3 - 16*q = 0. What is q?
-2, 0, 2/3
Let z(u) be the third derivative of u**6/360 + u**5/180 - u**4/36 - 4*u**2. What is s in z(s) = 0?
-2, 0, 1
Let n be (-1 - (-1)/((-3)/(-3)))*-1. Factor -1/4*u**4 + 0*u - 1/4*u**2 + 1/2*u**3 + n.
-u**2*(u - 1)**2/4
Suppose 5*o - 2*o - 78 = 0. Factor 2*b**4 - 6*b**2 + b - 17*b**3 - 6*b**4 + o*b**3.
-b*(b - 1)**2*(4*b - 1)
Factor 0*t**2 + 3*t**3 - 3*t - 3/2 + 3/2*t**4.
3*(t - 1)*(t + 1)**3/2
Find o such that 4 - 2*o**2 + 6*o + 2*o - 6*o = 0.
-1, 2
Let u(w) be the second derivative of w**9/83160 + w**8/7392 + 2*w**7/3465 + w**6/990 + w**4/6 + w. Let f(r) be the third derivative of u(r). Factor f(l).
2*l*(l + 1)*(l + 2)**2/11
Let u = -1450/3 - -10156/21. Factor -2/7*q**2 + 2/7*q**3 - 2/7*q + u.
2*(q - 1)**2*(q + 1)/7
Let 0 + 3/4*a**4 - 3/4*a**2 - 3/4*a**3 + 0*a + 3/4*a**5 = 0. Calculate a.
-1, 0, 1
Factor -2/21*h**3 + 2/21*h - 4/21 + 4/21*h**2.
-2*(h - 2)*(h - 1)*(h + 1)/21
Let q(v) = -v**2. Let j be (7/14)/((-2)/4). Let d(g) = g**3 + 5*g**2 - g. Let p(f) = j*d(f) - 5*q(f). Let p(u) = 0. What is u?
-1, 0, 1
Let 9/5 + 1/5*k**3 + 3*k + 7/5*k**2 = 0. What is k?
-3, -1
Let q(u) = u**2 + u + 1. Let p(f) = 6*f**2 + 10*f + 8. Suppose -7*a + 2*a = 40. Let x(i) = a*q(i) + p(i). Determine m so that x(m) = 0.
0, 1
Let p(d) be the second derivative of -d**5/20 + d**4/12 + d**3/3 + 4*d. Factor p(q).
-q*(q - 2)*(q + 1)
Factor 2/11*n**4 + 0*n + 0*n**2 + 0 + 4/11*n**3.
2*n**3*(n + 2)/11
Suppose 5*z + 3*f - 14 = 14, -20 = -3*z - 5*f. Let o(y) be the first derivative of 1/3*y**3 + 0*y + 1 + 1/2*y**4 + 0*y**2 + 1/5*y**z. Factor o(a).
a**2*(a + 1)**2
Let -8*z**2 + 4*z**4 + 2*z**5 + 0*z**5 + 6*z**3 - 4*z**5 - 8*z = 0. Calculate z.
-1, 0, 2
Let m(r) be the first derivative of r**5/10 - r**4/8 - r**3/6 + r**2/4 + 4. Factor m(x).
x*(x - 1)**2*(x + 1)/2
Let o(r) be the first derivative of r**4/6 + r**3/2 + r**2/2 - 3*r + 3. Let u(k) be the first derivative of o(k). Determine c so that u(c) = 0.
-1, -1/2
Determine m so that -27/5*m**2 + 9/5*m**4 + 6/5 - 9/5*m - 3/5*m**3 = 0.
-1, 1/3, 2
Suppose -4*c - 16 = 4*v, -26 + 69 = -4*c + 5*v. Let s(y) = 2*y**2 + y - 1. Let u(t) = 3*t**2 + 2*t - 1. Let i(a) = c*s(a) + 5*u(a). Suppose i(m) = 0. What is m?
-2, -1
Let p(h) be the second derivative of h**7/168 + h**6/60 - h**5/80 - h**4/24 + 6*h. Determine d so that p(d) = 0.
-2, -1, 0, 1
Let g be 20 - 18 - -1*4/(-2). Factor 1/4*r**2 + g*r - 1/4.
(r - 1)*(r + 1)/4
Factor -13/3*y**2 - 2/9 - 17/9*y + 16/9*y**4 - 8/9*y**3.
(y - 2)*(y + 1)*(4*y + 1)**2/9
Suppose -2*b - 3 = -3. Determine k, given that 4/9*k**3 - 2/9*k**5 + 0*k**2 + 0*k**4 + b - 2/9*k = 0.
-1, 0, 1
Let z(x) be the third derivative of -x**6/24 - 5*x**5/12 - 5*x**4/3 - 10*x**3/3 + 25*x**2. Find w, given that z(w) = 0.
-2, -1
Let w(u) = -5*u**2 - 8*u + 3. Let y(m) = 4*m**2 + 8*m - 2. Let a(b) = 4*w(b) + 6*y(b). Factor a(r).
4*r*(r + 4)
Let g(b) = -8*b**5 + 3*b**4 - 4*b**3. Let a(l) = l**5 + l**4 + l**3. Let h(q) = 6*a(q) + 2*g(q). Suppose h(z) = 0. What is z?
0, 1/5, 1
Suppose -4*l - 2*u = -9*l, -u = 4*l. Suppose 0 + 1/3*i + 1/3*i**5 - 2/3*i**3 + l*i**4 + 0*i**2 = 0. Calculate i.
-1, 0, 1
Suppose 19 + 11 = 5*b. What is q in -2*q**2 + b - q**2 - 3*q**2 - 3*q + 3*q**2 = 0?
-2, 1
Let u(c) be the third derivative of -c**5/6 + c**4/3 + c**3/3 - 14*c**2. Factor u(a).
-2*(a - 1)*(5*a + 1)
Suppose -7 = -l + 2*k, 3*l - 2*k - 17 = -0*k. Let w(o) = 2*o**2 + 14*o + 2. Let x(c) = -2*c**2 - 13*c - 3. Let n(h) = l*w(h) + 6*x(h). Factor n(j).
-2*(j + 2)**2
Let g = 3/58 - -10/87. Let m(x) be the second derivative of x + 1/10*x**5 + 0 + x**2 - 1/3*x**3 - g*x**4. Suppose m(f) = 0. Calculate f.
-1, 1
Factor -4/3*o + 2/3*o**2 + 2/3.
2*(o - 1)**2/3
Find w, given that -92*w**2 + 2 + 20*w**2 + 38*w**3 + 31*w + 2 - w = 0.
-2/19, 1
Suppose -2 + 9/2*g + 1/2*g**3 - 3*g**2 = 0. What is g?
1, 4
Let l(a) be the first derivative of -a**4/2 + 3*a**2 + 4*a - 71. What is c in l(c) = 0?
-1, 2
Let -16*g**3 - 6*g**2 - 5*g**2 - 9*g**2 - 8*g - 4*g**4 = 0. What is g?
-2, -1, 0
Let t be (-45)/12 - (-1 - 3). Factor -1/2 + t*v + 1/4*v**2.
(v - 1)*(v + 2)/4
Let i(o) be the third derivative of -o**8/588 - 2*o**7/735 + o**6/35 + 2*o**5/15 + 11*o**4/42 + 2*o**3/7 + 9*o**2. Let i(x) = 0. Calculate x.
-1, 3
Let t(v) be the second derivative of -v**7/3780 + v**5/180 - v**4/4 + v. Let k(z) be the third derivative of t(z). Factor k(y).
-2*(y - 1)*(y + 1)/3
Let z be -2 + (-114)