((-32)/(-28) + -2)/((-34)/119). Let 3 - 30*m - 243/4*m**y + 351/4*m**2 = 0. What is m?
2/9, 1
Suppose -2*j = -2*y + 2*j - 20, 4*y + j = -40. Let d be ((-5)/y)/((-2)/(-12)). Solve 11*s**4 + 32*s**2 - 48*s**d + 0*s**5 + s**5 + 13*s**4 - 5*s**5 = 0 for s.
0, 2
Let l be (45 - 1)/(2/(-28)*-7). Let h be l/120 + (-1)/3. Factor -1/5*o + h*o**2 - 2/5 + 1/5*o**3.
(o - 1)*(o + 1)*(o + 2)/5
Let j be (3 - (5110/24)/(-7)) + 1. Let n = j - -329/4. Determine q so that n*q**2 - 176/3*q + 8 - 98/3*q**3 = 0.
2/7, 3
Let v be -30*(-1 - 19/2). Let -310*h - 9 - v*h + h**2 + 619*h - 2*h**2 = 0. Calculate h.
-3
Let b be 94/26 - 7/(-28)*-12. Factor -b*t**2 - 4/13 + 10/13*t + 2/13*t**3.
2*(t - 2)*(t - 1)**2/13
Let c = -1/511 - -521/5110. Let m(l) be the second derivative of 0 + c*l**6 - 3/5*l**5 + l**4 + 0*l**2 - 5*l + 0*l**3. Solve m(u) = 0 for u.
0, 2
Let u(g) be the third derivative of -1/5*g**6 + 1/6*g**4 + 0 - 1/28*g**8 + 0*g + 16/105*g**7 + 0*g**5 + 7*g**2 + 0*g**3. Factor u(s).
-4*s*(s - 1)**3*(3*s + 1)
Let -160*a - 118*a**2 - 110*a**2 + 226*a**2 - 3200 = 0. Calculate a.
-40
Let t(x) be the first derivative of 3*x**7/2240 + x**6/192 - x**5/160 - 2*x**3/3 - 12. Let l(r) be the third derivative of t(r). Find v such that l(v) = 0.
-2, 0, 1/3
Let y(m) be the second derivative of 2*m**7/1785 - m**6/1020 - m**5/510 + 2*m**2 + 8*m. Let f(g) be the first derivative of y(g). Solve f(o) = 0 for o.
-1/2, 0, 1
Let p(z) be the first derivative of z**6/33 - 2*z**5/11 + 5*z**4/11 - 20*z**3/33 + 5*z**2/11 - 2*z/11 - 49. Solve p(k) = 0 for k.
1
Let s(c) be the first derivative of -24 - 4/9*c**2 - 2/9*c - 2/9*c**4 - 4/9*c**3 - 2/45*c**5. Find x such that s(x) = 0.
-1
Let b(s) be the second derivative of -7*s - 1/10*s**6 + 3/5*s**5 + 2*s**3 - 3/2*s**4 + 0 - 3/2*s**2. Factor b(o).
-3*(o - 1)**4
Let o(n) = 9*n**2 - 6*n. Let k(b) be the first derivative of 0*b - 6*b**2 - 5 + 19/3*b**3. Let x(z) = -6*k(z) + 13*o(z). Factor x(l).
3*l*(l - 2)
Let c(o) be the third derivative of -o**6/40 - 21*o**5/20 - 5*o**4/2 + o**2 + 17. Solve c(s) = 0.
-20, -1, 0
Find d such that 0*d - 36/5*d**2 + 0 + 2/5*d**3 = 0.
0, 18
Let l(j) be the third derivative of -2*j**7/315 + j**6/15 - 13*j**5/45 + 2*j**4/3 - 8*j**3/9 + 3*j**2 - 5. Let l(z) = 0. Calculate z.
1, 2
Let y be (-8)/(1/((36/14)/(-9))). Factor 2/7*x**4 + 18/7*x**3 + 0 + y*x**2 + 0*x.
2*x**2*(x + 1)*(x + 8)/7
Suppose -17*z = -16*z + 4*t + 18, -4*z = -4*t - 28. What is m in -1/3*m**z + 0 + 0*m - 1/2*m**3 = 0?
-2/3, 0
Find f, given that 2*f**2 + 2*f**3 - 1/2*f**4 + 0 - 1/2*f**5 + 0*f = 0.
-2, -1, 0, 2
Let k(d) be the third derivative of -d**5/160 - d**4/64 - 46*d**2. Factor k(j).
-3*j*(j + 1)/8
Let u(k) be the second derivative of 21*k + 0*k**2 + 2/15*k**6 + 0*k**3 - 1/3*k**4 + 0 + 0*k**5. Find m such that u(m) = 0.
-1, 0, 1
Suppose 8 = -5*j + 9*j. Factor -9*t**3 - 21*t**4 + 3*t**2 + t - j*t - 6*t**5 + 4*t + 6*t**4.
-3*t*(t + 1)**3*(2*t - 1)
Let g(d) be the second derivative of d**5/240 + d**4/16 + d**3/3 + 14*d**2 + 34*d. Let m(c) be the first derivative of g(c). Solve m(y) = 0 for y.
-4, -2
Let v(d) = 1. Let u(a) = -a**2 - a + 5. Let q(x) = u(x) - 5*v(x). Determine f so that q(f) = 0.
-1, 0
Let m(i) be the first derivative of -i**5/450 + i**4/90 - i**2 + 6. Let d(c) be the second derivative of m(c). Find x, given that d(x) = 0.
0, 2
Let i be 14/6 + 1/(-3). Let h(x) = -86*x + 3873. Let g be h(45). Factor -1/2*z**g + 1 + 1/2*z - z**i.
-(z - 1)*(z + 1)*(z + 2)/2
Let h be 15 + 78/(-6) - (-3 - (-33)/9). Let -h*j**3 + 0*j - 4/3*j**2 + 0 = 0. Calculate j.
-1, 0
Let c(k) be the second derivative of -k**7/189 + 4*k**6/135 - k**5/45 - 2*k**4/27 + k**3/9 + 79*k. What is f in c(f) = 0?
-1, 0, 1, 3
Let u(r) be the first derivative of 10 - 9*r**2 + 12*r - r**3 + 1/4*r**6 - 9/5*r**5 + 33/8*r**4. Factor u(v).
3*(v - 2)**3*(v - 1)*(v + 1)/2
Let a = -20 + 23. Solve 4*v**4 + v**3 - 12*v**2 + 10*v - 18*v - v**a = 0 for v.
-1, 0, 2
Let l be (-13)/(-42) - (54/42 + -1). Let o(c) be the second derivative of 0 + l*c**3 + 1/84*c**4 - 1/7*c**2 - 6*c. Let o(j) = 0. Calculate j.
-2, 1
Let b = 24 - 22. Suppose 20 = -4*m, 5*g = -m - b*m - 5. Determine z so that -1 + 3*z + 27*z**3 + 19*z - 13*z - 27*z**g = 0.
1/3
Let p(n) = n**2 - n + 2. Let j be p(0). Suppose -g - g - j*g - 2*g**2 = 0. Calculate g.
-2, 0
Suppose 80*y = 90*y. Let d(u) be the third derivative of 0 + y*u - 1/420*u**5 + u**2 - 1/84*u**4 + 0*u**3. Factor d(w).
-w*(w + 2)/7
Let x(o) be the second derivative of -o**9/16632 - o**8/4620 + o**6/990 + o**5/660 - 8*o**3/3 - 17*o. Let n(i) be the second derivative of x(i). Factor n(y).
-2*y*(y - 1)*(y + 1)**3/11
Suppose 9164*t - 4611*t - 264 + 3*t**2 - 4679*t = 0. What is t?
-2, 44
Suppose 2*g + 53 = -3*v, -2*v + 6*g - 14 = 2*g. Let i = v - -33. Factor -f**2 - i*f**2 + 39*f**3 - 3*f - 8*f**2 + 6 - 15*f**4.
-3*(f - 1)**3*(5*f + 2)
Let f(t) be the second derivative of -1/30*t**6 + 0*t**2 + 0 + 0*t**3 - 1/20*t**5 - 8*t + 1/6*t**4. Find a, given that f(a) = 0.
-2, 0, 1
Let m(r) be the first derivative of -5*r**6/24 - 3*r**5/4 + 15*r**4/16 + 35*r**3/12 - 15*r**2/4 + 22. Let m(p) = 0. Calculate p.
-3, -2, 0, 1
Let z be 3 - 5/(-4)*-2. Suppose -1/4*q**2 - 3/4*q**3 + 5/4*q**4 + 1/4*q + 0 - z*q**5 = 0. What is q?
-1/2, 0, 1
Let w(u) be the second derivative of 0*u**2 + 1/80*u**5 + 1/48*u**4 - 1/12*u**3 + 0 + 4*u. Solve w(x) = 0 for x.
-2, 0, 1
Factor -4*o + 2*o**2 - 16/3 + 2/3*o**3.
2*(o - 2)*(o + 1)*(o + 4)/3
Factor -3/2*g + 1/2*g**3 + 0 - g**2.
g*(g - 3)*(g + 1)/2
Factor 155*n**2 + 80*n**2 - 48*n - 4*n**4 + 148*n**2 - 483*n**2 - 56*n**3.
-4*n*(n + 1)**2*(n + 12)
Let x(b) = 26*b**2 - 330*b + 1804. Let z be (-1 + -3)/(0 - -1). Let v(r) = 9*r**2 - 110*r + 601. Let y(d) = z*x(d) + 11*v(d). Solve y(k) = 0.
11
Suppose -5*d - 30 = -6*t + t, 2*t + 3 = -3*d. Factor -112/3*u - 16/3*u**t - 49/3 - 26*u**2 - 1/3*u**4.
-(u + 1)**2*(u + 7)**2/3
Let r(t) = 5*t + 64. Let f be r(-12). Let c be (95/228 - (-1)/4)/f. Factor 1/3 + 1/6*o - c*o**2.
-(o - 2)*(o + 1)/6
Let i be 18/21*(-140)/(-30). Let t(m) be the second derivative of 0*m**2 + 0*m**3 - 1/4*m**4 - 3/10*m**6 + i*m + 0 + 3/5*m**5. Suppose t(p) = 0. What is p?
0, 1/3, 1
Let o(a) be the first derivative of -5*a**6/6 - 31*a**5 - 475*a**4/2 + 3830*a**3/3 - 4165*a**2/2 + 1445*a - 181. Factor o(d).
-5*(d - 1)**3*(d + 17)**2
Let u be (-33)/77 - (-34)/14. Suppose -4 = 2*f + 2*s, 2*s + u = f + s. Determine i, given that f*i + 0 - 2/3*i**2 + 2/3*i**3 = 0.
0, 1
Let z = 1965/3542 - 3/322. Factor -2/11*f**5 + z*f - 4/11*f**3 + 2/11 + 4/11*f**2 - 6/11*f**4.
-2*(f - 1)*(f + 1)**4/11
Let 4*q**2 - 471 + 22*q + 0*q**2 - 5*q**2 - 154 + 28*q = 0. What is q?
25
Let a(t) be the first derivative of -27*t**4/8 - 30*t**3 + 69*t**2 - 48*t + 50. Factor a(s).
-3*(s + 8)*(3*s - 2)**2/2
Factor -1/2*n**3 + 9/2*n + 4*n**2 + 0.
-n*(n - 9)*(n + 1)/2
Let a be (162/45)/(3/20). Let b be (-12)/a - 12/(-20). Factor 1/10*t**2 + 1/5*t + b.
(t + 1)**2/10
Suppose 5*d + 21 = 2*d - a, -2*d - 3 = -3*a. Let w be 0/d + 0 + -1 + 3. Factor 3/2*c - 1/2*c**w - 1.
-(c - 2)*(c - 1)/2
Factor 12*r**2 + 18*r - 119*r - 4*r**4 + 16*r**3 + 29*r.
-4*r*(r - 3)**2*(r + 2)
Suppose 426 = -12*s - 162. Let d = 52 + s. Let -n**d - 3/5*n**4 + 0 + 1/5*n - 1/5*n**2 = 0. What is n?
-1, 0, 1/3
Let x(k) be the third derivative of 0*k**4 + 0*k + 0*k**3 - 1/35*k**7 + 1/12*k**6 - 20*k**2 + 0 - 1/15*k**5. Find h such that x(h) = 0.
0, 2/3, 1
Factor -219*s**3 - 1689*s**2 + 8748 + 802*s**3 - 163*s**3 - 3*s**4 - 7209*s - 267*s**3.
-3*(s - 27)**2*(s - 1)*(s + 4)
Let z(x) = 5*x**2 - 14*x + 10. Let a(q) = 66*q**2 - 183*q + 129. Let y(r) = -2*a(r) + 27*z(r). Solve y(l) = 0.
2
Let b = 1816 + -1814. Solve -1/4*n**4 + 1/2*n + 0*n**3 + 0 + 3/4*n**b = 0.
-1, 0, 2
Suppose -9 - 7 = 4*s. Let i be ((-60)/440)/((-1)/(s/(-3))). Suppose 2/11*h**2 + 0 - i*h = 0. Calculate h.
0, 1
Let x = 16315 + -16315. Factor 2/11*h**2 + 0*h + x.
2*h**2/11
Let v(y) = 6*y**2 - 5*y + 44. Let m(r) = r**2 - r + 8. Let b(h) = 11*m(h) - 2*v(h). Let b(z) = 0. Calculate z.
-1, 0
Suppose -6*t + t + 185 = 0. Factor 3*u + t*u**2 + 18 - 18*u**2 - 22*u**2.
-3*(u - 3)*(u + 2)
Let n(c) be the third derivative of -1/525*c**7 - 11*c**2 + 1/50*c**6 - 4/15*c**3 + 0 + 0*c - 13/150*c**5 + 1/5*c**4. Suppose n(j) = 0. What is j?
1, 2
Let j(p) be the second derivative of -p**