
Let b be 66374/1224 - (-2 + (-11)/(-4)). Let m = b + -22/153. What is t in 2/3*t**5 - 20/3*t**4 + m*t - 160/3*t**2 - 64/3 + 80/3*t**3 = 0?
2
Suppose -5*v + 35 = 2*z, 4*z + 165*v - 170*v + 35 = 0. Find q such that -1/4*q - 1/4*q**2 + 1/4*q**3 + z + 1/4*q**4 = 0.
-1, 0, 1
Suppose -5*n - 2*y = -9*n + 10, -5*n + 5*y = 0. Let v(q) be the first derivative of -1 - q - 1/5*q**n - 2*q**3 + 2*q**2 + q**4. Factor v(h).
-(h - 1)**4
Let d be 12*(-7)/525*(0 + -20). Solve -4/5*v**5 - 8/5 + d*v**2 + 8/5*v**3 - 4/5*v - 8/5*v**4 = 0.
-2, -1, 1
Let 8*c**3 + 3*c**4 + 2*c**4 + 12*c**2 - 24*c**2 - c**4 + 14*c**3 = 0. Calculate c.
-6, 0, 1/2
Suppose 13*k = 7*k - 2742. Let a = 4117/9 + k. Find s such that a*s**2 + 0 + 0*s - 10/3*s**4 - 2/9*s**3 = 0.
-2/5, 0, 1/3
Let m = 166 - 144. Suppose 12*s - s - m = 0. Find p such that 0*p - 2/9*p**s + 0 + 2/9*p**3 = 0.
0, 1
Suppose -2*p - 158 = 3*j - 4*p, -4*p = -j - 66. Let b be ((-18)/48)/(15/j). Factor -5/4*y**2 + 15/4*y + b - 15/4*y**3.
-5*(y - 1)*(y + 1)*(3*y + 1)/4
Suppose 3*d + 2*d = 15. Suppose -u + 18 = 2*u + d*f, 0 = 5*u + 2*f - 21. Factor -6/5*k**u + 0 + 0*k - 27/5*k**4 + 0*k**2.
-3*k**3*(9*k + 2)/5
Let -9/4*a**2 - 3/4*a**3 + 3/4*a + 3/4*a**4 + 3/2 = 0. Calculate a.
-1, 1, 2
Let y(w) be the first derivative of 11 - 4/9*w - 8/27*w**3 - 1/18*w**4 - 5/9*w**2. Factor y(x).
-2*(x + 1)**2*(x + 2)/9
Let z = 3116 + -3114. Find i, given that 10/7*i**z - 6/7*i**3 + 8/7*i**5 - 10/7*i**4 + 0 - 2/7*i = 0.
-1, 0, 1/4, 1
Suppose -4*a + 5*d + 135 = 0, 0 = d - 1 - 4. Factor 80*q - a*q**2 - 16 - 12*q**2 - 120*q**3 - 289*q**4 + 253*q**4.
-4*(q + 2)**2*(3*q - 1)**2
Let o = 1076 - 1073. Let n(j) be the second derivative of 0 - 1/6*j**o + 5/16*j**4 + 13*j - 1/2*j**2. What is r in n(r) = 0?
-2/5, 2/3
Let w be (394/(-4))/((-12 - -5)/(-7)). Let x = -98 - w. Solve 3/2*m**3 - x*m**4 + 1/2*m + 0 - 3/2*m**2 = 0 for m.
0, 1
Let f(j) = 36*j**3 - 60*j**2 - 104*j - 8. Let p(y) = -110*y**3 + 180*y**2 + 312*y + 22. Let u(b) = -7*f(b) - 2*p(b). Suppose u(v) = 0. Calculate v.
-1, -1/8, 3
Let z(q) be the second derivative of q**5/10 + 7*q**4/6 + 5*q**3 + 9*q**2 + 23*q. Determine o so that z(o) = 0.
-3, -1
Let g(j) be the first derivative of 1/6*j**4 + 0*j**3 + 9 + 2/15*j**5 + 0*j + 0*j**2. Let g(m) = 0. What is m?
-1, 0
Determine a so that -14*a + 4*a**2 + 1125 + 88*a + 74*a + 2*a + a**2 = 0.
-15
Let s(w) be the third derivative of 0*w**5 + 0 - 1/105*w**7 + 6*w**2 - 1/168*w**8 + 0*w**3 + 0*w + 0*w**4 + 1/30*w**6. Suppose s(i) = 0. Calculate i.
-2, 0, 1
Let q(z) be the third derivative of -z**6/160 + z**5/80 + z**4/8 - z**3/2 + z**2 - 16. Find h such that q(h) = 0.
-2, 1, 2
Factor 2/7*z**3 + 0 - 30/7*z**2 + 4*z.
2*z*(z - 14)*(z - 1)/7
Let v(l) be the first derivative of -4*l**5/5 - 7*l**4 - 24*l**3 - 40*l**2 - 32*l - 11. Factor v(j).
-4*(j + 1)*(j + 2)**3
Let b(z) = 15*z**2 - z. Let f be b(-1). Let n be 5/(-25) - f/(-5). Factor -10*k**n + 4*k**2 + 8*k**3 - 4*k + 2*k**2.
-2*k*(k - 2)*(k - 1)
Suppose -81 = -5*v - 41. Suppose v*p = 6*p. Determine n so that p*n**2 + 2/9*n**3 + 0*n + 0 - 2/9*n**4 = 0.
0, 1
Let o(z) be the third derivative of -1/120*z**5 - 1/240*z**6 - 11*z**2 + 0 + 0*z + 0*z**3 + 1/24*z**4. Determine f so that o(f) = 0.
-2, 0, 1
Let a = 3797567/188531 - 2/26933. Let u = -19 + a. Factor 12/7*w**2 + u*w + 4/7*w**3 + 0.
4*w*(w + 1)*(w + 2)/7
Let n(q) be the second derivative of -5*q**4/12 + 5*q**3/2 - 5*q**2 + 2*q. Let p(i) = 16*i**2 - 45*i + 29. Let d(r) = 11*n(r) + 4*p(r). Factor d(m).
3*(m - 1)*(3*m - 2)
Suppose -2*s + 3*u + 20 + 67 = 0, -5*s + 4*u = -200. Let r be 4/8 - s/(-8). Factor 48*j**4 - 5*j**3 - 3*j**2 + 5*j**r - 2*j**2 - 43*j**4.
5*j**2*(j - 1)*(j + 1)**2
Suppose -4*c + 6 = -2*c. Let n be 10/12*(c - 27/10). Factor 0 + 0*x + 0*x**2 + n*x**3 - 1/4*x**4.
-x**3*(x - 1)/4
Let p(q) be the first derivative of q**7/105 - q**6/20 + q**5/10 - q**4/12 - 5*q**2 - 5. Let u(b) be the second derivative of p(b). Factor u(f).
2*f*(f - 1)**3
Let q(l) be the first derivative of 5*l - 1/8*l**4 + 1/4*l**3 + 3/2*l**2 + 6. Let k(u) be the first derivative of q(u). Factor k(p).
-3*(p - 2)*(p + 1)/2
Let v(f) be the second derivative of -f**5/60 + 13*f**4/36 - 28*f**3/9 + 40*f**2/3 - 75*f. Find z such that v(z) = 0.
4, 5
Let j(c) be the third derivative of -c**7/420 - c**6/240 + c**5/40 + c**4/6 + 5*c**2. Let r(o) be the second derivative of j(o). Let r(b) = 0. What is b?
-1, 1/2
Factor 154*n + 137*n + 20*n**2 + 25*n**2 - 6 - 274*n.
(5*n + 3)*(9*n - 2)
Find g such that -4/9*g**2 + 0*g + 0 = 0.
0
Let u = -1964/3 + 1966/3. Find g such that -17/6*g**4 - u - 13/2*g**2 + 37/6*g**3 + 10/3*g + 1/2*g**5 = 0.
2/3, 1, 2
Let j(t) be the first derivative of -t**7/3360 + t**6/720 - t**5/480 + 11*t**3/3 - 12. Let l(q) be the third derivative of j(q). Suppose l(m) = 0. What is m?
0, 1
Factor 36*b**2 - 34*b**3 + 28 - 3*b**4 + 12 + 28*b**3 + 120*b + 56.
-3*(b - 4)*(b + 2)**3
Let h = 38518 + -731836/19. Factor 8/19 - h*m - 2/19*m**2.
-2*(m - 1)*(m + 4)/19
Let z be ((-18)/20)/((-6)/(-5))*-4. Factor -10*o**2 - 10*o + 6*o + 2*o**2 + 31*o**z - 35*o**3.
-4*o*(o + 1)**2
Factor -4050/7 - 180/7*i - 2/7*i**2.
-2*(i + 45)**2/7
Let h(g) be the third derivative of -7*g**5/240 + g**4/96 + g**3/4 - 45*g**2 - 2. Find v such that h(v) = 0.
-6/7, 1
Let c be -1 - (-5)/1 - (-3)/(-3). Let n = -6 - -8. Find t such that -c*t + 1 + 7*t - 1 + 4*t**n = 0.
-1, 0
Let l(b) be the first derivative of -6 + 3*b**2 - 5*b**3 - 3/5*b**5 + 0*b + 3*b**4. Factor l(v).
-3*v*(v - 2)*(v - 1)**2
Let k be -4 + (1544/128 - 8). Let z(c) be the first derivative of -1/8*c**2 - 1/4*c + k*c**4 + 1/12*c**3 - 2. Suppose z(w) = 0. What is w?
-1, 1
Let q(u) = 3*u**3 - 4*u**2 + 6 - 5*u**3 - u**2 - 4*u. Let y(g) = -g**3 - g**2 + g. Let o(z) = q(z) - 5*y(z). Factor o(r).
3*(r - 1)**2*(r + 2)
Let u(z) be the second derivative of -13*z**6/50 - 189*z**5/100 - 47*z**4/10 - 18*z**3/5 + 12*z**2/5 - 3*z - 13. Suppose u(l) = 0. Calculate l.
-2, -1, 2/13
Let k(b) be the third derivative of b**7/525 - 7*b**6/300 - 9*b**5/50 - 29*b**4/60 - 2*b**3/3 - 3*b**2. Suppose k(u) = 0. What is u?
-1, 10
Factor -5/2*y**2 + 55 - 105/2*y.
-5*(y - 1)*(y + 22)/2
Let q be 30/(6 + -11) - -6. Solve -1/2*w**3 + q + 11/8*w**2 + 3/8*w = 0.
-1/4, 0, 3
Let c(a) = 31*a**4 - 55*a**3 - 6*a**2 + 22*a + 8. Let q(i) = -61*i**4 + 110*i**3 + 12*i**2 - 45*i - 16. Let g(x) = 11*c(x) + 6*q(x). Factor g(p).
-(p - 2)*(p - 1)*(5*p + 2)**2
Determine q so that -2/19*q**3 - 40/19*q + 18/19*q**2 + 24/19 = 0.
1, 2, 6
Let c(n) = -36*n - 249. Let a be c(-7). Let l(v) be the second derivative of 6*v - 1/42*v**4 + 0*v**2 - 1/21*v**a + 0. Solve l(d) = 0.
-1, 0
Let u(h) be the first derivative of -h**6/260 + h**5/195 - 13*h**2/2 + 16. Let p(m) be the second derivative of u(m). What is y in p(y) = 0?
0, 2/3
Let o(z) be the second derivative of 1/3*z**6 - 1/21*z**7 + 26*z - 5/6*z**4 + 0*z**3 + 0*z**2 + 1/10*z**5 + 0. Let o(s) = 0. Calculate s.
-1, 0, 1, 5
Let r(j) = 2*j**2 + 3*j + 1. Let w be r(-2). Let f be (-1 + 188)*(-27 + 29). Find s such that 4*s**4 - 4*s**w - 374 + f = 0.
0, 1
Let w(q) be the first derivative of -q**6/3 + 14*q**5/5 + 4*q**4 - 366. Find b such that w(b) = 0.
-1, 0, 8
Let d be -1*(1 + (-336)/9)*1. Let b = -869/24 + d. Factor -b*h**2 + 0 + 1/4*h.
-h*(h - 2)/8
Let s = -9 + 9. Suppose 4*k + s*k = 8. Suppose 2*v**5 + 23*v**4 - 26*v**4 - v**5 + 4*v**k = 0. Calculate v.
-1, 0, 2
Let -3*p**3 + 3/7*p**2 - 12/7*p**4 + 3*p + 9/7 = 0. What is p?
-1, -3/4, 1
Let m = -103/4 + 26. Suppose 4*y + 4 = 4*l, y = -170 + 171. Suppose m*x**l - 1/2*x + 1/4 = 0. Calculate x.
1
Suppose -156*o + 148*o + 16 = 0. What is u in 18/11*u**3 - 104/11*u**o + 36/11 + 138/11*u = 0?
-2/9, 3
Suppose 0 = 4*d + 14 - 22. Factor -32*a**d + 16*a**3 + 59*a**3 - 18*a**2 + 345 + 15 - 300*a - 5*a**5.
-5*(a - 2)**3*(a + 3)**2
Let z be ((-960)/(-16))/(-5) + 14. Factor 4/7*t + 2*t**z + 0.
2*t*(7*t + 2)/7
Let b(n) be the third derivative of n**8/6720 - n**6/1440 - 4*n**3/3 + 3*n**2. Let p(s) be the first derivative of b(s). Determine t so that p(t) = 0.
-1, 0, 1
Let t(j) be the first derivative of -j**9/1512 + j**8/315 + j**7/420 - 14*j**3/3 + 8. Let s(g) be the third derivative of t(g). Factor s(u).
-2*u**3*(u - 3)*(3*u + 1)/3
Let k(t) be the second derivative of 1/5*t**3 + 1/5*t**2 + 23*t + 1/10*t**4 + 0 + 1/50*t