0.
-2, 1
Suppose 15*i = -29*i - 0*i. Let o(z) be the second derivative of 5/12*z**4 - 7/6*z**3 + 13*z + z**2 + i. Let o(b) = 0. Calculate b.
2/5, 1
Let k(g) be the third derivative of -g**9/15120 + g**8/5040 + g**7/1260 - g**6/180 - 2*g**5/15 - 11*g**2. Let f(y) be the third derivative of k(y). Factor f(h).
-4*(h - 1)**2*(h + 1)
Let n(c) be the first derivative of -c**3/9 - 13*c**2/3 - 169*c/3 - 209. Solve n(a) = 0.
-13
Let k = -2495 - -17481/7. Determine a, given that -64/7 - 1/7*a**2 - k*a = 0.
-8
Let q(y) = -8*y**2 - 9*y + 7. Let u(h) = -5*h**2 - 5*h + 4. Let d(r) = 3*q(r) - 5*u(r). Solve d(k) = 0 for k.
1
Let i be 1/(-4) - 111/(-12). Suppose 5 = 5*h, -5*c + 18 = -0*c - 2*h. Factor -24*z + 24*z + 12*z**2 - i*z**c - 3*z**5.
-3*z**2*(z - 1)*(z + 2)**2
Let b(q) = 2*q + 10. Let g(d) = d. Let n(f) = -b(f) + 3*g(f). Let x be n(10). Find t such that 1/5*t**2 + x + 2/5*t = 0.
-2, 0
What is g in 7*g**2 + 5*g**2 + 20*g**3 + 4*g**4 - 4*g**5 + 0*g**2 = 0?
-1, 0, 3
Let i(g) be the third derivative of 5*g**8/1176 - 32*g**7/735 + 8*g**6/105 + 11*g**5/105 - 37*g**4/84 + 10*g**3/21 + 6*g**2 - g. Let i(n) = 0. What is n?
-1, 2/5, 1, 5
Suppose 3*m + 3*l = 15, 3*l + 5 = -2*m + 18. Factor -11*w**m + 72 + 2*w**2 - 19*w**2 - 244*w.
-4*(w + 9)*(7*w - 2)
Let s(t) be the first derivative of 0*t**3 + 1/3*t**2 + 0*t - 1/6*t**4 + 12. Solve s(f) = 0 for f.
-1, 0, 1
Suppose -c + 4*m - 1 = -4*c, -m = c - 1. Suppose -47*q = -q - 0*q. Factor 3/2*o**c - 3/2*o**2 - 3*o + q.
3*o*(o - 2)*(o + 1)/2
Let 57*j - 324*j**2 + 319*j**2 - 232*j - 440*j + 1250 = 0. Calculate j.
-125, 2
Find u, given that -79/4*u**3 - 7/4*u**4 - 9*u + 0 - 37*u**2 = 0.
-9, -2, -2/7, 0
Factor -5*x**2 + 13*x + x**2 + 251*x - 4344 + 6*x**2 + 13056.
2*(x + 66)**2
Let h(v) be the first derivative of -v**8/840 - v**7/140 - v**6/90 + v**3/3 + 6. Let y(b) be the third derivative of h(b). Suppose y(q) = 0. Calculate q.
-2, -1, 0
Let g be (57 - 56)/((-7)/(-4)). Factor 0 - 2/7*i + 2/7*i**5 - 4/7*i**4 + 0*i**3 + g*i**2.
2*i*(i - 1)**3*(i + 1)/7
Let q(h) = -43*h**2 - 256*h + 14. Let s be q(-6). Suppose 6/11*b + 10/11*b**3 - 14/11*b**s - 2/11*b**4 + 0 = 0. Calculate b.
0, 1, 3
Factor 3/4*x**2 + 162*x + 8748.
3*(x + 108)**2/4
Let j(d) be the first derivative of -d**6/420 + d**2 - 6. Let r(s) be the second derivative of j(s). Find y, given that r(y) = 0.
0
Let i(s) be the second derivative of -s**4/60 + 7*s**3/30 - 3*s**2/5 + 42*s + 1. Solve i(d) = 0 for d.
1, 6
Let i(w) be the third derivative of -5*w**8/336 + w**7/42 + w**6/12 - w**5/6 - 5*w**4/24 + 5*w**3/6 - 3*w**2 - 9*w. Suppose i(r) = 0. What is r?
-1, 1
Let p(b) = 5*b**3 + 15*b**2 - 10*b - 20. Let z(c) = -c**3 - c**2 - c - 1. Let v(w) = p(w) + 4*z(w). Factor v(m).
(m - 2)*(m + 1)*(m + 12)
Let k(y) be the third derivative of y**6/150 - 2*y**5/25 - 7*y**4/30 - 3*y**2 - 1. Find c such that k(c) = 0.
-1, 0, 7
Let q(n) be the first derivative of 4*n**6/45 + 4*n**5/15 + n**4/4 + n**3/9 + n**2/2 - 11. Let h(f) be the second derivative of q(f). Factor h(y).
2*(y + 1)*(4*y + 1)**2/3
Let i be (-8*1/(-2))/(60/45). Solve 0*f + 0 - 8/5*f**4 + 4/5*f**i - 4/5*f**5 + 8/5*f**2 = 0 for f.
-2, -1, 0, 1
Let z(c) be the third derivative of -c**6/1020 - 11*c**5/510 + 7*c**4/102 + 8*c**3/17 + 57*c**2 - 2. Determine a so that z(a) = 0.
-12, -1, 2
Let u = 18 + -15. Suppose -u*j + 3 + 9 = 0. Factor i**2 - 40*i**j + 41*i**4 + 0*i**3 + 2*i**3.
i**2*(i + 1)**2
Let a = 18 + -16. Solve -4*m**2 + m**4 - 7*m**2 + 20*m**a - 12*m**2 - 2*m = 0.
-1, 0, 2
Let v be -20*(-5)/30*3. Suppose -v + 46 = 9*h. Factor h*b + 1/2*b**4 + 6*b**2 + 0 + 3*b**3.
b*(b + 2)**3/2
Let y(i) be the first derivative of -i**5/10 + i**4/6 - 5*i - 8. Let p(w) be the first derivative of y(w). Factor p(g).
-2*g**2*(g - 1)
Suppose -3*t + 12 = -9*t. Let b(h) = -h**2 + 1. Let l(f) = f. Let u be l(1). Let i(p) = -p**2 - p. Let r(a) = t*i(a) + u*b(a). Determine n, given that r(n) = 0.
-1
Suppose 3*j = -j + 4. Let x be -2 - (-3 - (3 - j)). Let -3*l**2 + 21 - 21 - x*l = 0. Calculate l.
-1, 0
Let h be 104/182 - (-704)/(-7). Let i be -1 - -2 - 1 - 25/h. Let 0*r - 1/4*r**4 - i*r**3 + 0*r**2 + 0 = 0. What is r?
-1, 0
Let -2/15*d**3 + 0*d + 2/15*d**2 + 0 = 0. Calculate d.
0, 1
Let x = -26935/16 + 1684. Let y(c) be the second derivative of -1/32*c**4 - 4*c - 1/4*c**3 - x*c**2 + 0. Factor y(r).
-3*(r + 1)*(r + 3)/8
Let g(r) = r - 18. Let i be g(17). Let d be i/7 - (-713)/1953. Determine k, given that -2/9*k**4 + 2/9*k**3 - d*k**5 + 0*k + 0 + 2/9*k**2 = 0.
-1, 0, 1
Let w(s) be the third derivative of -s**6/60 - 19*s**5/75 + 61*s**4/60 - 6*s**3/5 - 87*s**2. Determine u, given that w(u) = 0.
-9, 2/5, 1
Let 0 - 1/4*a**4 + 3/2*a**2 + 11/8*a**3 - 1/8*a**5 + 0*a = 0. Calculate a.
-4, -1, 0, 3
Let m(o) be the third derivative of o**7/840 - o**6/240 - o**5/20 + 19*o**4/24 + 23*o**2. Let v(k) be the second derivative of m(k). Solve v(u) = 0.
-1, 2
Let n(i) = -2*i**3 - 3*i + 4*i**3 - 1 - 5 - 3*i**3 + 6*i**2. Let o be n(5). Suppose 4*p**2 + o*p**3 - 3*p**2 + 0*p**3 - p**3 = 0. Calculate p.
-1/3, 0
Find j, given that 56/5*j**2 + 0 + 0*j - 6/5*j**3 - 2/5*j**4 = 0.
-7, 0, 4
Suppose -3*r = -3*q, 4*r + 42*q = 47*q - 5. Factor 3/2*k**r + 3/2*k**4 - 3*k**3 + 3/2 - 3*k**2 + 3/2*k.
3*(k - 1)**2*(k + 1)**3/2
Let t(f) be the second derivative of f**8/336 - f**7/84 + f**5/12 - 5*f**4/24 - 7*f**3/6 + 7*f. Let z(h) be the second derivative of t(h). Factor z(y).
5*(y - 1)**3*(y + 1)
Let a be 2 + -2 + (4 - 0). Let f = 324 + -319. Let -32*l**a + 5 - 2 + 30*l**2 + 15*l - l**4 - 15*l**f + 6*l - 6*l**3 = 0. What is l?
-1, -1/5, 1
Let l be (-3)/(-6) + 2/(-4). Let c = -741 - -744. Factor 2/5*f**c + l*f**2 + 0 - 2/5*f.
2*f*(f - 1)*(f + 1)/5
Suppose 3*m + 5*a + 13 = 2*m, 0 = 3*m + a - 3. Factor c**2 + 3*c - 3*c**3 + 0*c**4 + c**4 + 0*c**m - 2.
(c - 2)*(c - 1)**2*(c + 1)
Let g(y) be the third derivative of -y**6/180 + y**5/10 - 5*y**4/12 - 25*y**3/9 - 105*y**2. Solve g(r) = 0 for r.
-1, 5
Let -14*g**2 + 163*g**3 + 0 - 24 - 161*g**3 + 32*g = 0. What is g?
2, 3
Let c(v) be the first derivative of v**9/8064 + v**8/4480 + 17*v**3/3 + 5. Let s(h) be the third derivative of c(h). Solve s(x) = 0 for x.
-1, 0
Let a(z) = -z**5 - 5*z**4 + 5*z**2 + z + 3. Let b = 11 + 3. Suppose -13*c + 4 = -b*c. Let s(k) = -k**4 + k**2 + 1. Let v(j) = c*a(j) + 12*s(j). Factor v(l).
4*l*(l - 1)*(l + 1)**3
Let h(m) = -10*m**3 + 78*m**2 + 174*m + 98. Let x(t) = t**3 + t**2 + t - 1. Let u(p) = -h(p) - 6*x(p). Factor u(w).
4*(w - 23)*(w + 1)**2
Factor -5498*u**3 - u**5 + 2*u**4 + 5502*u**3 - 16*u**2 + 2*u**4.
-u**2*(u - 4)*(u - 2)*(u + 2)
Let k(m) be the third derivative of 0 - 36*m**2 + 4/3*m**3 + 1/30*m**5 + 0*m + 1/3*m**4. Factor k(a).
2*(a + 2)**2
Let v(j) be the third derivative of -j**5/30 + 137*j**4/12 - 136*j**3/3 - 251*j**2 - 1. Determine w, given that v(w) = 0.
1, 136
Suppose -2/5*w**2 + 16/5*w + 0 = 0. What is w?
0, 8
Let k = 1/3148 - -9439/15740. Suppose 3/5*l**3 + 3/5 - k*l**2 - 3/5*l = 0. Calculate l.
-1, 1
Let t(c) be the first derivative of 0*c**3 + 0*c**2 - 1/15*c**6 + 0*c - 1/2*c**4 - 29 + 12/25*c**5. Factor t(d).
-2*d**3*(d - 5)*(d - 1)/5
Let x(a) be the first derivative of -a**4/4 - 76*a**3 - 8664*a**2 - 438976*a - 875. Factor x(d).
-(d + 76)**3
Solve -34*o + o**2 - 11 + 13*o + 17*o - 1 = 0.
-2, 6
Suppose 0*x = 5*x + 5*m + 40, 2*m = -3*x - 22. Let c(o) = 1. Let g(h) = -h**2 - 2*h + 5. Let j(s) = x*c(s) + g(s). Let j(b) = 0. What is b?
-1
Let c = -110 + 160. Let l be (-3 + c/16)*2. Find d, given that 0*d**2 + 1/4*d + 0 - l*d**3 = 0.
-1, 0, 1
Let r(y) = -25*y**3 - 910*y**2 - 8462*y - 3240. Let k(a) = -75*a**3 - 2730*a**2 - 25387*a - 9720. Let i(h) = 2*k(h) - 7*r(h). Solve i(d) = 0 for d.
-18, -2/5
Let l(z) = 5*z**2 - z + 1. Let h(m) = -43*m**2 - 25*m + 51. Let f(s) = -2*h(s) - 18*l(s). Let f(a) = 0. Calculate a.
2, 15
Find p such that -23*p - 6 - 7*p**2 + 10*p - 10*p = 0.
-3, -2/7
Let i(h) = -5*h**2 + h - 3. Let l(d) = -d**2 - 1. Let w = 54 + -33. Let x = w - 12. Let y(n) = x*l(n) - 2*i(n). What is f in y(f) = 0?
-1, 3
Let s(c) be the third derivative of 9*c**2 - 49/40*c**6 + 0*c + 0 + 0*c**3 + 7/5*c**5 - 1/2*c**4. Factor s(x).
-3*x*(7*x - 2)**2
Let g(u) = u. Let o(t) = 0*t**4 - 20*t**2 - 2 + 8*t**3 + 8*t**2 + 7*t - 2*t**4. Let d(q) = -2*g(q) - 2*o(q). Factor d(x).
4*(x - 1)**4
Let b(c) = 