- 1)*(h + 5)**2/7
Let o = -19 - -46. Suppose 5*d + 2*d - 25*d + o*d**2 + 3 = 0. What is d?
1/3
Suppose 0 = 5*g + h - 10, 0 = -5*g - 5*h - 1 - 9. Factor 4*k**2 + 4*k**g - 4*k - 7*k**4 + 4*k**4 - 2*k**4 + k**4.
-4*k*(k - 1)**2*(k + 1)
Let b(l) be the second derivative of -l**8/840 + l**7/420 + l**3/2 + 3*l. Let g(q) be the second derivative of b(q). Suppose g(o) = 0. What is o?
0, 1
Let j(y) be the third derivative of 0 + 0*y**3 + 1/240*y**5 + 1/48*y**4 + 0*y + 4*y**2. What is p in j(p) = 0?
-2, 0
Let l(n) = -n**3 - 6*n**2 + 3*n - 8. Let u be l(-7). Suppose -u + 20 + 2*b**2 - 2*b = 0. What is b?
0, 1
Let a = 5 - -1. Let s be a/(-18) + (-26)/(-24). Find g, given that s*g**2 + 3*g + 3 = 0.
-2
Let g(o) = 3*o**2 + 10*o + 14. Let r(w) = 12*w**2 + 39*w + 57. Let j(l) = 9*g(l) - 2*r(l). Let j(k) = 0. Calculate k.
-2
Let q(v) = 10*v**5 + 20*v**4 + 2*v**3 + 16*v**2. Let r(l) = l**5 + l**4 + l**3 + l**2. Let w(j) = -q(j) + 12*r(j). Factor w(f).
2*f**2*(f - 2)*(f - 1)**2
Let g be (-3 - 46/5) + 1. Let h = 57/5 + g. Solve 1/5*m + 1/5*m**4 + 0 - h*m**2 - 1/5*m**3 = 0 for m.
-1, 0, 1
Let z(g) be the first derivative of -g**6/15 + 4*g**5/25 + 3*g**4/10 - 16*g**3/15 + 4*g**2/5 - 4. Find x, given that z(x) = 0.
-2, 0, 1, 2
Let y(k) = k**2 + 4*k. Let i be y(-3). Let d be i/((-2)/(-4) - 2). Factor -2*t - 2*t**d + 2*t.
-2*t**2
Let w(r) be the second derivative of -r**5/42 + r**4/7 - r**3/9 - 2*r**2/7 + 12*r. Solve w(v) = 0 for v.
-2/5, 1, 3
Let h(d) be the third derivative of -d**6/1980 - d**5/330 - 7*d**3/6 - 8*d**2. Let y(a) be the first derivative of h(a). What is p in y(p) = 0?
-2, 0
Find p such that 0 + 0*p - 8/3*p**3 + 4/3*p**4 + 4/3*p**2 = 0.
0, 1
Determine p so that -1/3*p**3 - 5/3*p - 4/3*p**2 - 2/3 = 0.
-2, -1
Factor -2*a + 1/6*a**5 + 1/3*a**2 - 4/3 + 11/6*a**3 + a**4.
(a - 1)*(a + 1)*(a + 2)**3/6
Let t(a) = a + 1. Let y(z) = -3*z**2 + 8*z + 11. Suppose 2*j - 7 = -3*x, x = -0*x - j + 3. Let d(u) = x*y(u) - 5*t(u). Factor d(h).
-3*(h - 2)*(h + 1)
Suppose 41*k + 5 = 42*k. Let o(v) be the second derivative of 0 - v + 7/80*v**k + 1/40*v**6 - 1/8*v**3 - 1/4*v**2 + 1/16*v**4. Suppose o(t) = 0. Calculate t.
-1, 2/3
Let a(x) be the third derivative of -x**6/105 - 11*x**5/70 - 6*x**4/7 - 16*x**3/21 - 30*x**2. Let a(l) = 0. What is l?
-4, -1/4
Let c be 2/60 - 5/(-30). Find n, given that 0*n - 1/5 + c*n**2 = 0.
-1, 1
Suppose -o + 6 = 6*k - 4*k, -3*k - 3*o = -3. Let z(n) be the first derivative of 0*n - 3 - 1/6*n**6 + 0*n**3 - 2/5*n**k + 0*n**2 - 1/4*n**4. Factor z(l).
-l**3*(l + 1)**2
Let s(z) be the first derivative of 42*z**2 + 27/4*z**4 + 24*z - 2 + 30*z**3. Solve s(v) = 0.
-2, -2/3
Let c(a) be the second derivative of -a**4/24 + 17*a**3/6 - 289*a**2/4 - 2*a - 7. Find t, given that c(t) = 0.
17
Let o be ((-35)/70)/(-2*1 - 0). Let -1/4*c**2 + 1/4 - 1/4*c + o*c**3 = 0. What is c?
-1, 1
Let z(w) be the first derivative of -w**6/480 - w**5/240 + w**4/48 + w**2 + 1. Let l(h) be the second derivative of z(h). Factor l(t).
-t*(t - 1)*(t + 2)/4
Let s = 6 - 6. Suppose s*q - 5*q = 0. Factor 1/3 - 1/3*p**2 + q*p.
-(p - 1)*(p + 1)/3
Solve -1/5*s**2 + 0 + 1/5*s = 0 for s.
0, 1
Let f(a) = a + 4. Let m be f(0). Factor 12 + 10*y**2 + 15*y**2 - 48*y - m*y**2.
3*(y - 2)*(7*y - 2)
Let v(k) = -k - 1. Let s(w) = -3*w**2 + 3*w - 6. Let o(g) = -s(g) + 3*v(g). Factor o(t).
3*(t - 1)**2
Let o(x) be the third derivative of 1/30*x**5 + 0 + 0*x**4 - x**2 + 0*x**3 + 0*x. Factor o(i).
2*i**2
Solve 1/8*q**4 + 1/2 + 0*q - 5/8*q**2 + 0*q**3 = 0 for q.
-2, -1, 1, 2
Let n(z) be the second derivative of z**4/9 + 2*z**3/3 + 4*z**2/3 - 18*z. What is v in n(v) = 0?
-2, -1
Let b(l) be the second derivative of 1/2*l**2 + 3*l + 1/80*l**5 - 7/48*l**4 + 0 - 1/168*l**7 + 1/40*l**6 + 0*l**3. Solve b(g) = 0 for g.
-1, 1, 2
Factor -3 - 54*n**3 - 12*n**4 - 4*n**2 + 70*n**3 + 3.
-4*n**2*(n - 1)*(3*n - 1)
Suppose -2*m = -6*m + 32. Find a, given that 0*a - 8*a**2 + m - 4*a - 2*a + 4*a**3 + 2*a = 0.
-1, 1, 2
Let s(g) be the second derivative of -g**8/1680 - g**7/525 - g**6/600 - 3*g**2 + 7*g. Let d(t) be the first derivative of s(t). Factor d(u).
-u**3*(u + 1)**2/5
Let n + 1/2*n**2 + 0 = 0. Calculate n.
-2, 0
Let f(t) = -t - 11. Let l be f(-13). Suppose -l*z = -8 - 2. Find i such that 1/3*i**3 + 0*i + 0 - 1/3*i**z + 1/3*i**4 - 1/3*i**2 = 0.
-1, 0, 1
Let c be 7/(-39) - (-93)/279. Let c*y - 2/13*y**2 + 0 = 0. Calculate y.
0, 1
Let s(k) be the second derivative of -k**6/45 - k**5/30 + k**4/18 + k**3/9 - 37*k. Let s(d) = 0. What is d?
-1, 0, 1
Let l(o) be the first derivative of o**4/18 - 5*o**3/27 + 2*o**2/9 + 2*o + 4. Let k(c) be the first derivative of l(c). Determine v so that k(v) = 0.
2/3, 1
Suppose -25 - 31 - 21 - 8*d**4 - 96*d**2 - 52*d**3 + 61 - 68*d = 0. What is d?
-4, -1, -1/2
Let m = -41985/7 + 6549961/1092. Let b = -1/39 + m. Let -1/4*x**2 + b + 0*x = 0. What is x?
-1, 1
Let f(v) = v**4 - v**3 + 1. Let p(w) = -2*w**4 + 7*w**3 + 4*w**2 - 10. Let q(z) = -3*f(z) - p(z). Let k(u) be the first derivative of q(u). Factor k(b).
-4*b*(b + 1)*(b + 2)
Let p be (0 - 3) + (-70 - -76). Factor p + 3*o + 3/4*o**2.
3*(o + 2)**2/4
Let t = -12541/2460 - -222/41. Let b(r) be the second derivative of 1/24*r**4 + 0*r**2 + 1/6*r**3 + 0 - 1/12*r**7 + t*r**6 - r - 3/8*r**5. Factor b(s).
-s*(s - 1)**3*(7*s + 2)/2
Let w(l) = -45*l**3 - 123*l**2 - 54*l - 9. Let i(s) = -89*s**3 - 247*s**2 - 109*s - 19. Let t(h) = 3*i(h) - 7*w(h). What is n in t(n) = 0?
-2, -1/4
Let n(p) be the first derivative of p**4/48 - p**3/12 - 3*p**2/8 + 10*p + 2. Let z(d) be the first derivative of n(d). Factor z(h).
(h - 3)*(h + 1)/4
Let r(g) be the first derivative of -g**6/39 - 2*g**5/13 - 4*g**4/13 - 8*g**3/39 + 2. Suppose r(s) = 0. What is s?
-2, -1, 0
Let v(l) be the first derivative of l**4/26 + 4*l**3/39 - 4. Find m such that v(m) = 0.
-2, 0
Let p be (-10)/(-4)*8/10. Let n(z) be the second derivative of -1/3*z**3 - 1/3*z**2 + p*z + 0 - 1/30*z**5 - 1/6*z**4. Factor n(x).
-2*(x + 1)**3/3
Let u(m) = 19*m**2 - 36*m + 24. Let h(q) = 13*q**2 - 24*q + 16. Let f(j) = -7*h(j) + 5*u(j). Solve f(p) = 0.
1, 2
Let q(i) be the second derivative of -3*i - 1/6*i**4 - 1/15*i**6 + 0 - 1/5*i**5 + 0*i**3 + 0*i**2. Factor q(l).
-2*l**2*(l + 1)**2
Let k be 4*((-2)/(-3))/((-440)/(-30)). Factor 2/11*m**3 - 2/11*m - 2/11 + k*m**2.
2*(m - 1)*(m + 1)**2/11
Let r = 4 - -5. Suppose 3*m - 41 = 5*t, 2*m + 3*m + 3*t = 57. Suppose -m*j**5 - 41*j**4 + 4 - 2 - r*j**2 - 12*j**2 + j - 49*j**3 = 0. What is j?
-1, -2/3, 1/4
Let j be (157 + 0)*(-7)/(-35). Let k = -31 + j. Find d, given that 6/5*d**4 - 2/5*d**3 - 14/5*d**2 + 0*d + k*d**5 + 8/5 = 0.
-2, -1, 1
Let n(y) be the third derivative of y**8/378 - y**7/945 - y**6/135 + y**5/270 + 39*y**2. Find i, given that n(i) = 0.
-1, 0, 1/4, 1
Let i(a) = -13 - 2*a**2 - 16*a + 8*a**2 - 13*a + 10*a**2. Let g(o) = -8*o**2 + 14*o + 6. Let l(j) = -11*g(j) - 6*i(j). Factor l(f).
-4*(f - 3)*(2*f + 1)
Let b(q) = 5*q + 5. Let g(d) = d + 1. Let o(i) = b(i) - 4*g(i). Let p be o(1). Factor 0 + 0*n + 1/2*n**3 + n**p.
n**2*(n + 2)/2
Find s such that 1/7*s**2 - 1/7*s + 0 = 0.
0, 1
Let z(v) be the second derivative of -v**5/60 + v**4/18 + v**3/6 + 14*v. What is m in z(m) = 0?
-1, 0, 3
Suppose 0 = -5*h + 7 + 3. Factor -2/9*p - 2/9 + 2/9*p**3 + 2/9*p**h.
2*(p - 1)*(p + 1)**2/9
Let a(r) be the first derivative of -4*r**3/3 - 8*r**2 - 16*r - 14. Let a(x) = 0. What is x?
-2
Suppose -9*c + 6*c - 3 = 0. Let u be c/(-15)*5*9. Suppose -2/3*i**4 - 1/3*i**2 + 0 - 1/6*i + 7/6*i**u = 0. What is i?
-1/4, 0, 1
Let u(o) be the first derivative of 2*o**6/9 - 4*o**5/15 - o**4/3 + 4*o**3/9 + 1. Factor u(a).
4*a**2*(a - 1)**2*(a + 1)/3
Let l = -1209 - -1209. Let z(c) = c - 1. Let d be z(3). Factor l - 3/2*s + 3/2*s**d.
3*s*(s - 1)/2
Suppose 0 = -5*t + 5*z - 35, 3*z = 5*t - 14 + 39. Let n be 2*t/40*-8. Factor n + 1/5*h**2 + 4/5*h.
(h + 2)**2/5
Let m(q) = -q**3 + q**2 + 2. Let j be m(0). Let u(s) be the second derivative of 0*s**j + 1/10*s**5 + 0*s**4 - 1/3*s**3 - 3*s + 0. Factor u(a).
2*a*(a - 1)*(a + 1)
What is m in -8/23*m - 8/23 - 2/23*m**2 = 0?
-2
Let i(y) = 2*y**2 + 2*y - 3. Let x(j) = -3*j**2 - 3*j + 5. Let u(k) = 7*i(k) + 4*x(k). Let w be u(1). What is z in 0*z**w - z**2 + 1/2*z**4 + 1/2 + 0*z = 0?
-1, 1
Factor 24*v**2 - 66/5*v - 58/5*v**3 + 4/5.
-2*(v - 1)**2*(29*v - 2)/5
