d**3 + 28*d + 4*d**3 = 0.
-2, -1, -2/3, 2
Suppose 2 = 4*j - 6. Let w(q) be the second derivative of 5/63*q**7 + 0 + 2/5*q**6 + 4/9*q**4 - 1/3*q**3 - 2*q - 2/3*q**j + 11/15*q**5. What is l in w(l) = 0?
-1, 2/5
Let y(r) = -r**2 - 2*r - 1. Let w(u) = -6 + 5 - u - u**2 + 1 - 1. Let i(f) = -4*w(f) + 3*y(f). Suppose i(k) = 0. Calculate k.
1
Let j(l) be the second derivative of -1/6*l**3 + 0 + 0*l**4 - 1/1440*l**6 + 1/480*l**5 + 0*l**2 - 2*l. Let r(u) be the second derivative of j(u). Factor r(w).
-w*(w - 1)/4
Let c(k) be the second derivative of 3*k**5/20 - k**4/18 + k. Determine w, given that c(w) = 0.
0, 2/9
Suppose -g - 5*c + 26 = 0, -2*g - 2*c = -6*g + 60. Let p be 12/(-16)*g/(-9). Factor -p*w - 1/3*w**2 - 4/3.
-(w + 2)**2/3
Let y(g) be the third derivative of -g**7/105 + g**6/30 - g**4/6 + g**3/3 - 7*g**2. Find b such that y(b) = 0.
-1, 1
Factor -2*j**4 - 6/5*j**2 - 2/5*j**5 + 0*j - 14/5*j**3 + 0.
-2*j**2*(j + 1)**2*(j + 3)/5
Let i(p) be the third derivative of -p**6/240 + p**5/120 + p**4/48 - p**3/12 + 25*p**2. Determine w so that i(w) = 0.
-1, 1
Let y be (2/7)/((-88)/(-56) + -1). Factor 1/2*s**5 - y*s**4 - 1/2*s**3 + 1/2*s**2 + 0*s + 0.
s**2*(s - 1)**2*(s + 1)/2
Let c(x) = 6 + 5*x + 3 - x**2 - 5. Let u be c(5). Factor 2*d**3 + 0*d + 5*d - 2*d - u*d**2 - d.
2*d*(d - 1)**2
Suppose 6*j = j + 45. Determine o, given that -8*o**2 - 3 - 4*o**2 - 6*o - j*o = 0.
-1, -1/4
Let g(q) = q + 3. Let m be g(-3). Let u = 244/11 + -22. Solve -u*o**2 + 2/11 + m*o = 0.
-1, 1
Find g such that 9/2*g - 11/2*g**2 + 1 = 0.
-2/11, 1
Solve 7*w**5 + w**5 + 9*w**4 + 51*w**2 - w**5 - 10*w**5 + 18*w + 45*w**3 = 0 for w.
-1, 0, 6
Let b(i) = -i**5 + 8*i**4 - 7*i**3 + 7*i. Let z(x) = -x**5 + 7*x**4 - 6*x**3 + 6*x. Let v(y) = 6*b(y) - 7*z(y). Factor v(k).
k**4*(k - 1)
Let c(j) = j**2 + 17*j + 14. Let v(t) = -1. Let i(w) = c(w) + 3*v(w). Let r(x) = 3*x**2 + 42*x + 27. Let k(h) = -12*i(h) + 5*r(h). Factor k(g).
3*(g + 1)**2
Let y(b) = b**3 - 4*b**2 - 4*b - 2. Let n be y(5). Suppose -4*l - 2*c = 0, -n*l + 1 + 1 = c. Find a such that 4*a**2 - 4*a**2 - l*a**3 = 0.
0
Let l(x) = x**3 + 4*x**2 + 2. Let t be l(-4). Let i(v) = 3*v. Let z be i(1). Factor z*g**2 - g - t*g**2 + 2 - 4.
(g - 2)*(g + 1)
Let q(v) be the third derivative of v**8/672 + v**7/840 - v**6/144 - v**5/120 - v**3/2 - 4*v**2. Let h(f) be the first derivative of q(f). Factor h(g).
g*(g - 1)*(g + 1)*(5*g + 2)/2
Let g(k) be the third derivative of 1/60*k**4 - 1/200*k**6 + 0 + 1/1680*k**8 + 0*k + 1/300*k**5 - 1/1050*k**7 + 0*k**3 + 6*k**2. Let g(q) = 0. What is q?
-1, 0, 1, 2
Let d be 2*(-3)/(-6) + (-3)/6. Factor -1 - d*u**2 + 3/2*u.
-(u - 2)*(u - 1)/2
Let x be (-4)/14 - (-310)/7. Let f = x - 175/4. Factor 0*y + f*y**2 + 1/4*y**3 + 0.
y**2*(y + 1)/4
Let f(s) be the first derivative of s**4/18 + 8*s**3/27 - 22. Factor f(y).
2*y**2*(y + 4)/9
Let z be -5*(68/35 + -2). Let v = -137 - -961/7. Solve 0 + v*m - z*m**2 = 0.
0, 1
Let b(k) = k**3 + 6*k**2 + k + 8. Let g be b(-6). Let s be (-3 - (-2 + 1)) + g. Factor 1/2*v**5 + s + 0*v + 0*v**2 + 0*v**4 - 1/2*v**3.
v**3*(v - 1)*(v + 1)/2
Let n(j) be the first derivative of 2*j**3/3 - 10*j**2 + 50*j - 13. Factor n(x).
2*(x - 5)**2
Let w = 172 - 169. Let k(r) be the second derivative of 0*r**2 + 3/70*r**5 + 0 + 1/42*r**4 - 2*r + 0*r**w - 4/105*r**6. Factor k(o).
-2*o**2*(o - 1)*(4*o + 1)/7
Let p = -1/139 - -291/1807. Suppose 181*w - 216*w + 70 = 0. Suppose p*z**w + 2/13 - 4/13*z = 0. Calculate z.
1
Let h be 9/(-6) - 1/(-2). Let s = h - -3. What is w in -4*w**2 + 3*w**2 - w - s*w**2 + 2*w**2 = 0?
-1, 0
Suppose -6*w + 35 - 23 = 0. Factor -2/3*y**3 + 0 + 0*y**4 + 2/9*y**5 + 0*y + 4/9*y**w.
2*y**2*(y - 1)**2*(y + 2)/9
Let k(x) be the first derivative of 1 + 0*x**2 - 2/3*x**3 + 0*x. Solve k(t) = 0 for t.
0
Let s(l) be the second derivative of -l**6/40 - 3*l**5/20 - 5*l**4/16 - l**3/4 + 17*l. Factor s(w).
-3*w*(w + 1)**2*(w + 2)/4
Suppose 14*n**3 + 6*n - 2*n**3 + 3*n**4 + 2*n**2 + 13*n**2 = 0. What is n?
-2, -1, 0
Let u = -11/2 + 59/10. Determine b, given that 4/5*b**2 - 4/5 + 2/5*b**3 - u*b = 0.
-2, -1, 1
Let f(s) be the first derivative of 1 + 0*s - 1/7*s**4 + 2/7*s**2 + 2/35*s**5 - 2/21*s**3. Factor f(m).
2*m*(m - 2)*(m - 1)*(m + 1)/7
Find x, given that -2/3*x**2 + 2*x + 0 = 0.
0, 3
Let o(b) be the second derivative of -12*b**3 + 27/2*b**4 + 4*b**2 + 0 - b. Factor o(m).
2*(9*m - 2)**2
Let w be 0*(-1 + (-1)/(-2)). Suppose w*k**3 + 2*k - 18*k**4 - 2*k**2 - 2*k**3 + 20*k**4 = 0. Calculate k.
-1, 0, 1
Let c be (-2)/(-2) + 10 + -8. Factor -5*n + 5*n - 3*n + c*n**2.
3*n*(n - 1)
Suppose -1 - 3 = -4*v - q, 3*v - 4*q - 22 = 0. Let m(r) be the first derivative of r**4 + 0*r**2 - 2/5*r**5 + 0*r + v - 2/3*r**3. Let m(n) = 0. What is n?
0, 1
Suppose -2 + 14 = 4*j. Factor -4*w**4 - 6 - 2 + w**5 + 3*w**3 + 10*w**2 - 2*w**j - 4*w.
(w - 2)**3*(w + 1)**2
Let -1/5*i + 4/5*i**2 + 0 = 0. What is i?
0, 1/4
Let j(f) be the third derivative of -f**7/1575 + f**6/450 - f**5/450 - 16*f**2. Let j(o) = 0. What is o?
0, 1
Let j be -38*(0 + -4 - -3). Solve j*p - 38*p - 1 + p**2 = 0 for p.
-1, 1
Suppose -92 = b + 3*b. Let k = 47/2 + b. Determine g, given that -1/2*g**4 + 1/2*g**3 - k*g + 0 + 1/2*g**2 = 0.
-1, 0, 1
Let j(m) = 105*m**3 + 24*m**2 - 81*m + 33. Let n(k) = -13*k**3 - 3*k**2 + 10*k - 4. Let v(d) = 4*j(d) + 33*n(d). Suppose v(g) = 0. What is g?
-1, 0, 2/3
Let k(c) = -2*c**3 - 2*c**5 - 4*c**2 - 2 + 4*c**2 - 2*c**4 + 2*c**2. Let y(n) = -n**4 - n**2 + 1. Let p(b) = -k(b) - 2*y(b). Find r such that p(r) = 0.
-1, 0
Determine m so that -7/3*m**3 + 34/3*m**2 + 1/3*m**5 - 24 - 4/3*m**4 + 4*m = 0.
-2, 2, 3
Let r(q) be the first derivative of 1/4*q**4 - 1/25*q**5 - 2/5*q**2 + 8/5*q - 1 - 2/5*q**3. Factor r(y).
-(y - 2)**3*(y + 1)/5
Let u(z) = -3*z - 4. Let t be u(-3). Suppose 2*v - t = k, v - 4 = -0. Determine n, given that 2*n**k + 2/3*n + 0 + 2/3*n**4 + 2*n**2 = 0.
-1, 0
Let y be 5*((-3)/(-15) + -1). Let s be (-26)/10 - (y + 1). Suppose 2/5 + 6/5*t + s*t**3 + 6/5*t**2 = 0. Calculate t.
-1
Let k(j) be the second derivative of j**8/16800 - j**7/1260 + j**6/225 - j**5/75 - j**4/12 - 2*j. Let q(f) be the third derivative of k(f). Factor q(w).
2*(w - 2)**2*(w - 1)/5
Let a = 21 - 18. Let w(b) be the second derivative of 0 - 1/24*b**3 + 1/24*b**4 + a*b + 0*b**2 - 1/80*b**5. Let w(v) = 0. Calculate v.
0, 1
Factor -2/7*j**2 + 2/7 - 2/7*j**3 + 2/7*j.
-2*(j - 1)*(j + 1)**2/7
Let y = 4 - 0. Let w(d) be the third derivative of 0 + 0*d**y + 0*d**3 + 1/330*d**5 - 2*d**2 + 0*d. What is b in w(b) = 0?
0
Let x(m) be the third derivative of -2*m**7/105 - m**6/30 + m**5/15 + m**4/6 - 4*m**2. Find f such that x(f) = 0.
-1, 0, 1
Let r be (3*2/(-3))/1. Let n = r + 7/3. Factor -n*i**2 + 1/3*i**4 - 1/3*i**3 + 1/3*i + 0.
i*(i - 1)**2*(i + 1)/3
Let y(c) be the second derivative of -c**5/5 - 2*c**4/3 + 2*c**3/3 + 4*c**2 + 8*c. Find p, given that y(p) = 0.
-2, -1, 1
Let 36*n**2 - 4*n**3 - 120 + 798*n - 858*n + 20 = 0. Calculate n.
-1, 5
Let j be 0/((-16)/(-4) + -5). Let a be 16/15 + (-4)/6. Suppose 0*p**2 - a*p + j + 2/5*p**3 = 0. What is p?
-1, 0, 1
Let p(n) be the first derivative of n**8/5880 - n**7/2940 + 2*n**3/3 + 3. Let i(z) be the third derivative of p(z). Suppose i(y) = 0. Calculate y.
0, 1
Let d(m) = m**3 - 7*m - 4. Let c be d(3). Let 4/7*g**3 + 2/7*g**5 - 4/7*g**c - 2/7 - 6/7*g + 6/7*g**4 = 0. What is g?
-1, 1
Suppose -3*k + 15 = 6. Suppose 3*d = 4*f + 4, k*d - 4 = 2*f + d. Solve 8*j**3 + j**f + 3*j + 9*j**2 + j + 2*j**4 = 0.
-2, -1, 0
Let y(s) be the first derivative of -s**6/900 + s**4/60 + s**3 - 4. Let b(v) be the third derivative of y(v). Suppose b(p) = 0. What is p?
-1, 1
Let z = -7 - -4. Let s be -1 - (1 + (z - -1)). Factor s + 0*h - 2/5*h**3 + 2/5*h**2.
-2*h**2*(h - 1)/5
Factor 2*h**3 + 8/5*h + 0 - 2/5*h**4 - 16/5*h**2.
-2*h*(h - 2)**2*(h - 1)/5
Let b(q) be the second derivative of 5*q + 1/8*q**2 + 0 + 0*q**3 - 1/48*q**4. Solve b(z) = 0 for z.
-1, 1
Suppose 3/5*q + 2/5 - 2/5*q**2 - 3/5*q**3 = 0. Calculate q.
-1, -2/3, 1
Let s = 3 + -1. Let t = 4 - s. Factor -d**2 + 5 - d**t - 1 - 2.
-2*(d - 1)*(d + 1)
Let n be 4/(16/(-12)) + 5. Factor -w**3 - 4*w**4 + 2*w + w**n + 0*w**2 + 3*w**4 - w.
-w*(w - 1)*(w + 1)**2
Let j = -25 - -25. Suppose j = 6*y - 7*y. Factor y*i**3 + 0 + 0*i - 1/4*i**5 + 0*i**2 + 0*i**4.
-i**5/4
Let p be 12/(-18)*