3/7
Suppose z + 6 = -3*l + 65, 0 = -2*z + 2*l + 126. Solve -175/3*m**3 - 68/3*m + 49/3*m**4 + 8/3 + z*m**2 = 0 for m.
2/7, 1, 2
Let y(b) be the second derivative of 12*b + 2/15*b**3 + 0*b**2 + 1/50*b**5 + 0 - 1/10*b**4. Factor y(u).
2*u*(u - 2)*(u - 1)/5
Let j(z) be the second derivative of -z**4/42 + z**3/3 + 71*z - 1. Suppose j(l) = 0. Calculate l.
0, 7
Factor 21/5*s**4 - 57/5*s**3 + 11*s**2 + 0 - 1/5*s**5 - 18/5*s.
-s*(s - 18)*(s - 1)**3/5
Let v be 56/60 + (-2)/6. Let t(b) = 19*b - 168. Let d be t(9). What is z in 1/5 + 1/5*z + v*z**d - z**2 = 0?
-1/3, 1
Let i(o) = -34*o + 2. Let q be i(-3). Suppose -20*z - 59*z**2 + q*z**4 + 14*z**3 + 147*z**3 - 1 + 21*z**5 - 7 + 125*z**2 = 0. What is z?
-2, -1, -2/7, 1/3
Let q(o) be the first derivative of -o**5/5 - 7*o**4/4 - 5*o**3 - 9*o**2/2 - 94. What is i in q(i) = 0?
-3, -1, 0
Let d(s) = 53*s**2 + 175*s + 5. Let b(n) = 26*n**2 + 88*n + 4. Let l(p) = -9*b(p) + 4*d(p). Find y such that l(y) = 0.
-4, -2/11
Factor -70 - 2*s**2 + 5*s**2 + 2*s**5 - 3*s**4 + 76 + s**4 - 12*s**3 + 10*s - 7*s**2.
2*(s - 3)*(s - 1)*(s + 1)**3
Let k(j) = j**5 + 10*j**4 + 18*j**3 - 198*j**2 - 638*j - 510. Let m(h) = -h**5 + h**3 - h**2 - h - 1. Let s(u) = -3*k(u) - 6*m(u). Factor s(b).
3*(b - 8)**2*(b + 2)**3
Let r be (-294)/456 + 3/4. Let k = r - -32/57. Factor 2*x - k*x**2 - 4/3.
-2*(x - 2)*(x - 1)/3
Let b(f) be the second derivative of f**7/210 + f**6/90 - f**5/15 + 7*f**3/6 - 4*f. Let a(l) be the second derivative of b(l). Factor a(d).
4*d*(d - 1)*(d + 2)
Let x(t) be the second derivative of t**7/8820 + t**6/840 + 7*t**4/12 + 19*t. Let h(j) be the third derivative of x(j). What is i in h(i) = 0?
-3, 0
Suppose 45 = 5*z - 10. Suppose 7*f - z - 17 = 0. Factor 0*w**3 - 2 - 7*w**2 - 7*w - 2*w**3 - w**2 + 5*w**4 + w**5 - 3*w**f.
(w - 2)*(w + 1)**4
Let c(a) be the third derivative of a**5/150 - a**4/5 + 4*a**3/3 - 601*a**2. Let c(w) = 0. Calculate w.
2, 10
Let l(g) = 3*g**5 + 28*g**4 - 77*g**3 + 42*g**2 + 2*g + 2. Let b(i) = 5*i**5 + 55*i**4 - 155*i**3 + 85*i**2 + 5*i + 5. Let p(m) = -2*b(m) + 5*l(m). Factor p(x).
5*x**2*(x - 1)**2*(x + 8)
Let b(t) be the second derivative of -11*t + 0*t**3 + 0 + 0*t**4 - 1/80*t**5 + t**2. Let m(z) be the first derivative of b(z). Suppose m(y) = 0. What is y?
0
Let f(g) be the first derivative of 1/2*g**4 - 5 + 0*g + 0*g**2 + 2/3*g**3. Factor f(w).
2*w**2*(w + 1)
Let g(o) = -12*o - 3. Let a be g(-3). Let u(x) = -3*x**3 + 8*x + 4. Let i(y) = 24*y**3 - 63*y - 33. Let p(s) = a*u(s) + 4*i(s). Factor p(t).
-3*t*(t - 2)*(t + 2)
Factor -1/3*p**2 + 50/3 - 5/3*p.
-(p - 5)*(p + 10)/3
Let j(i) be the third derivative of 2*i**7/105 - i**6/15 - i**5/5 + 4*i**4/3 - 8*i**3/3 + 47*i**2 + 9. Factor j(g).
4*(g - 2)*(g - 1)**2*(g + 2)
Suppose -115*o + 111*o = -220. Let v be o/(-30) + (-6)/(-2) + -1. Factor 1/3*h**4 + 0 + 0*h**2 + 0*h - v*h**5 - 1/6*h**3.
-h**3*(h - 1)**2/6
Let p = -28 + 19. Let x(u) = -u**3 - 10*u**2 - 8*u + 9. Let m be x(p). Determine i so that 2/5*i**3 + m + 2/5*i**2 + 0*i = 0.
-1, 0
Let j = -6943 - -27773/4. Factor r + j*r**2 + 1.
(r + 2)**2/4
Let z(o) be the third derivative of 1/50*o**5 + 0*o + 0*o**4 + 2*o**2 - 1/560*o**8 - 27 + 0*o**3 + 3/200*o**6 + 0*o**7. Factor z(n).
-3*n**2*(n - 2)*(n + 1)**2/5
Let z be ((-9)/15 + 1)*-10. Let d = z - -6. Factor 3*c**d - 2*c + 5*c**2 - 5*c**2 - c**4.
-c*(c - 1)**2*(c + 2)
Determine r so that 0 - 4/9*r**2 - 5/9*r**4 + 8/9*r**3 + 1/9*r**5 + 0*r = 0.
0, 1, 2
Let r(x) be the first derivative of x**3/12 + x**2/4 - 20*x - 613. Factor r(o).
(o - 8)*(o + 10)/4
Let d(o) = 7*o + 4. Let k be d(-2). Let m be (-1)/((-35)/k + -4). Factor -4/3*l + 0 - 2/3*l**m.
-2*l*(l + 2)/3
Let a = 902/2961 + -8/423. Factor -3/7*l**3 + a*l**2 + 0 + 1/7*l**5 + 0*l**4 + 0*l.
l**2*(l - 1)**2*(l + 2)/7
Let o(c) = -2*c**3 + 2*c**2 + c. Let x(l) = -2*l**2 + l. Let m be x(1). Let g be o(m). Factor -2*s**4 + 6*s**g - 6*s**2 - 2 + 2*s**2 + 2.
-2*s**2*(s - 2)*(s - 1)
Let x = -1015719/7 - -145342. Let q = -238 + x. Factor 6/7*p - 3/7*p**2 + q.
-3*(p - 3)*(p + 1)/7
Let z(j) = -12*j**2 - 909*j + 222. Let x(h) = 12*h**2 + 913*h - 221. Let r(i) = 3*x(i) + 4*z(i). Find v, given that r(v) = 0.
-75, 1/4
Let g be (-1)/(-10 + 18 + -11). Factor -1/6*l**2 - g*l + 0 + 1/6*l**4 + 1/3*l**3.
l*(l - 1)*(l + 1)*(l + 2)/6
Suppose 7*x - 4*x - 12 = 0. Find z, given that -10*z + 16*z**2 + 16*z**3 + 9*z**4 - 6*z**x - 13*z**2 = 0.
-5, -1, 0, 2/3
Let y(v) = -v**3 + 7*v**2 - 6*v + 4. Let p be y(6). Suppose 3*a + 0*a + 4*d = 6, -p = -2*a - d. Solve a*c**2 - 7*c**2 + 24*c + c**2 - 36 = 0.
3
Let q be 32/(-28)*(-96)/256. Factor -q*p**4 - 24/7 - 54/7*p**2 + 60/7*p + 3*p**3.
-3*(p - 2)**3*(p - 1)/7
Let x be -4 + 874/57 + (-8)/6. Factor 38/5*f**3 - 14/5*f**4 + 2/5*f**5 + 32/5*f - 8/5 - x*f**2.
2*(f - 2)**2*(f - 1)**3/5
Suppose -6*q**2 + 10*q**2 - q**2 + 18*q**3 - 4*q**4 + 72*q - 87*q**2 + 14*q**3 = 0. What is q?
0, 2, 3
Suppose -275 = 49*w - 275. Let w*v**3 + 0 - 1/5*v**4 + 0*v + 1/5*v**2 = 0. What is v?
-1, 0, 1
Let a(s) be the first derivative of -s**4 + 32*s**3/3 + 62*s**2 + 88*s + 369. Find w such that a(w) = 0.
-2, -1, 11
Let l = -221 + 221. Let v(s) be the first derivative of 1/3*s**3 - 4 - 1/4*s**2 - 1/8*s**4 + l*s. Factor v(r).
-r*(r - 1)**2/2
Let r(n) be the second derivative of -n**5/15 - 8*n**4/3 - 14*n**3/3 + 92*n**2/3 - 117*n. Factor r(s).
-4*(s - 1)*(s + 2)*(s + 23)/3
Let n be (-27)/3*12/(-54). Determine v so that 24 - 4*v**2 - v**2 + 3*v**n - 4*v - 18 = 0.
-3, 1
Let j(s) = 17*s**3 + 103*s**2 + 20*s + 86. Let r be j(-6). Factor -472/5*i**r + 423/5*i + 112/5*i**3 + 162/5.
(4*i - 9)**2*(7*i + 2)/5
Suppose -55 = -2*r - 5*c - 54, -c = -3*r + 10. Let l = 38 + -37. Solve l - 7/4*i**r + 4*i + 5/4*i**2 = 0.
-1, -2/7, 2
Let t(s) be the second derivative of -s**4/48 + s**3/6 + 5*s**2/8 + 56*s. Factor t(k).
-(k - 5)*(k + 1)/4
Determine w so that 86*w - 30*w + 96 - 377*w**2 + 333*w**2 - 4*w**3 = 0.
-12, -1, 2
Let p be (-75)/15 - (-21)/1. Determine m, given that -8*m**2 - 2*m**2 + 8*m**2 - 2*m**2 + p = 0.
-2, 2
Suppose 3*n = -2*q + 2 - 3, 3*q = -3*n - 6. Factor -k**2 - 94 + 94 + k**n.
k**2*(k - 1)
Solve -5*a**3 + 4*a**3 + 13*a**2 - 24*a**2 - 39*a**2 - 9*a**2 = 0 for a.
-59, 0
Factor -45/2 - 40*w**3 + 75/2*w + 20*w**2.
-5*(w + 1)*(4*w - 3)**2/2
Suppose 2*k - 6*k = q, -5*k = -4*q. Let u(c) be the first derivative of q*c - 6 - 1/3*c**3 - 1/2*c**2. Factor u(b).
-b*(b + 1)
Let m(z) be the first derivative of z**8/1680 + z**7/420 + 14*z**3/3 + 47. Let t(w) be the third derivative of m(w). Factor t(k).
k**3*(k + 2)
Let z(c) be the second derivative of c**4/12 - c**3/6 + 12*c. Let b(v) = v**4 - 2*v**3 + 8*v**2 - 7*v. Let x(f) = 3*b(f) - 21*z(f). What is l in x(l) = 0?
0, 1
Suppose -5448*m = -5452*m. Let g(i) be the first derivative of 0*i**2 - 6 + 0*i - 1/27*i**6 + m*i**4 + 2/45*i**5 + 0*i**3. Let g(d) = 0. What is d?
0, 1
Let r(y) be the second derivative of 5/72*y**4 + 0 - y - 5/12*y**3 + 0*y**2. Factor r(g).
5*g*(g - 3)/6
Factor 189*x - 235*x**2 + 51*x + 56*x**3 + 65*x**3 - 126*x**3.
-5*x*(x - 1)*(x + 48)
Let q(z) be the first derivative of 3/2*z**2 + 4*z + 4 + 1/6*z**3. Find o such that q(o) = 0.
-4, -2
Let v(y) = 4*y**3 - 9*y**2 - 20*y - 8. Let b(z) = z**3 - z. Let p(s) = -5*b(s) + v(s). Let g(k) be the first derivative of p(k). Let g(u) = 0. Calculate u.
-5, -1
Suppose -3*r - 50 = 3*j - 56, -4*r = -4*j - 8. Let g(h) be the second derivative of j + 1/4*h**4 + 6*h**2 - 11*h - 2*h**3. Factor g(y).
3*(y - 2)**2
Let s(z) be the first derivative of -32/5*z**2 + 11/5*z**4 + 52 - 16/15*z**3 - 7/30*z**6 + 1/5*z**5 - 16/5*z. Determine c so that s(c) = 0.
-2, -1, -2/7, 2
Suppose l = 2*y + 8, 5*l = 7*l + 4*y + 16. Let s(c) be the first derivative of 2*c**2 + l*c + 1 + 2/3*c**3. Determine k, given that s(k) = 0.
-2, 0
Let k(s) be the third derivative of 1/27*s**4 + 0 + 1/945*s**7 + 1/27*s**3 + 1/135*s**6 + 1/45*s**5 - 17*s**2 + 0*s. Factor k(u).
2*(u + 1)**4/9
Let s(m) be the third derivative of m**2 + 0 + 0*m + 0*m**3 - 1/8*m**4 + 1/40*m**6 + 1/70*m**7 - 1/20*m**5. What is q in s(q) = 0?
-1, 0, 1
Let d(r) be the second derivative of 0*r**4 + 0*r**6 + 1/49*r**7 + 0 + 0*r**3 + 17*r + 0*r**2 - 3/70*r**5. Determine j, given that d(j) = 0.
-1, 0, 1
Suppose 0 - 2/13*x**2 - 14/13*x = 0. Calculate x.
-7, 0
Suppose -11 = -2*d - 5. Let w(i) be t