et -7/5*t + t**2 + 3/5 - 1/5*t**q = 0. Calculate t.
1, 3
Let g(h) be the first derivative of -2/9*h**3 + 0*h + 12 + 4/3*h**2. Factor g(v).
-2*v*(v - 4)/3
Let w(t) be the third derivative of -t**7/1155 - t**6/660 + t**5/110 + t**4/132 - 2*t**3/33 + 3*t**2 + 33. Suppose w(q) = 0. Calculate q.
-2, -1, 1
Factor 22/5*w + 0 - 2/5*w**4 + 18/5*w**3 + 42/5*w**2.
-2*w*(w - 11)*(w + 1)**2/5
Let m(v) = -v**3 - 2*v**2 - 2*v - 2. Let p(g) = 3*g**2 + 4*g + 2. Let j(a) = m(a) + p(a). Suppose j(l) = 0. Calculate l.
-1, 0, 2
Let q(u) = 30*u**3 - 2*u**2 + 40*u - 40. Let c(i) = -4*i**3 - i. Let g(z) = -8*c(z) - q(z). Factor g(l).
2*(l - 2)**2*(l + 5)
Let v be 9/3 + -1 - (273 - 0). Let f = 271 + v. Factor f + 2/9*k - 2/9*k**2.
-2*k*(k - 1)/9
Let r(o) be the second derivative of o**4/6 - o**3/3 - 11*o. Factor r(z).
2*z*(z - 1)
Let s be (169/55 - 3)/(2/(-12)). Let j = s - -7/11. Factor 0 + 1/5*q**2 - j*q.
q*(q - 1)/5
What is u in 18342*u + 240 - 3*u**3 - 18598*u - u**3 + 76*u**2 = 0?
2, 15
Let i(h) be the third derivative of h**7/42 - h**6/24 - 17*h**5/12 - 25*h**4/8 + h**2 - 79. Factor i(l).
5*l*(l - 5)*(l + 1)*(l + 3)
Let i = 567 + -565. Let w(g) be the first derivative of -3 + 1/4*g**4 - 1/5*g**5 + i*g + g**3 - 5/2*g**2. Factor w(u).
-(u - 1)**3*(u + 2)
Let j be (116/(-16) + 5)/((-3)/8). Let n(f) be the third derivative of 0*f**4 + 1/480*f**j + f**2 + 0 + 1/6*f**3 - 1/80*f**5 + 0*f. Factor n(t).
(t - 2)**2*(t + 1)/4
Factor 14*i**5 - 5*i**3 - 31*i**5 - 7*i**4 + 14*i**5 + 3*i**3.
-i**3*(i + 2)*(3*i + 1)
Let j = 37 - 34. What is a in -2*a**4 + 8*a**2 - 2*a**j - 4*a**2 + 4*a**3 = 0?
-1, 0, 2
Let t(a) = a**3 + 13*a**2 + 17*a - 115. Let d be t(-5). Let -27/7*y**2 - 6/7*y + d = 0. Calculate y.
-2/9, 0
Let u(k) be the third derivative of 0 - 29/24*k**4 + k**3 + 32*k**2 + 0*k + 3/20*k**5. Factor u(z).
(z - 3)*(9*z - 2)
Let i = 3205/3 - 1068. Factor i - 1/3*l**4 - 2/3*l**3 + 2/3*l + 0*l**2.
-(l - 1)*(l + 1)**3/3
Let s = 8439 + -16877/2. Factor -s*t**2 - 1/2*t + 0.
-t*(t + 1)/2
Let v be (-12)/20 + 108/(-20). Let p(k) = k**2 + 6*k + 2. Let y be p(v). Factor 4*x - 6 + y*x + 0*x + 3*x**2 - 3*x.
3*(x - 1)*(x + 2)
Let -13954*r + 50*r**2 + 32 - 16*r**4 + 4*r**5 + 13874*r + 4*r**3 + 6*r**2 = 0. Calculate r.
-2, 1, 2
Let x be (-10*(-21)/70)/(1/(-2)*-3). Factor 5/2 - 15/4*n + 5/4*n**x.
5*(n - 2)*(n - 1)/4
Let p be (798/63 + -14)*2/16*-9. Factor 6*s - p*s**3 - 12 + 3*s**2.
-3*(s - 2)**2*(s + 2)/2
Let u(f) be the third derivative of -f**8/504 - 16*f**7/315 - 7*f**6/30 - 4*f**5/9 - 13*f**4/36 + 464*f**2 + 2. Determine o so that u(o) = 0.
-13, -1, 0
Let s(x) be the first derivative of x**5/20 + 9*x**4/8 - 13*x**3/4 + 5*x**2/2 - 325. Find f, given that s(f) = 0.
-20, 0, 1
Let n = -1906 - -200132/105. Let d(v) be the third derivative of 0*v + 0*v**3 + 0*v**4 - 6*v**2 + 0 - 1/15*v**5 + 0*v**6 + n*v**7. Solve d(b) = 0.
-1, 0, 1
Let k(o) be the first derivative of -o**4/14 - 8*o**3/21 - 3*o**2/7 - 79. Determine j so that k(j) = 0.
-3, -1, 0
Let a be (-2208)/(-15) + 8/(-4)*-1. Let d = 150 - a. Determine o, given that 0 + 1/5*o**3 + d*o**2 + 4/5*o = 0.
-2, 0
Let r be 0/(42*8/48). Suppose r*b + 3/5*b**3 + 0*b**2 + 0 + 3/5*b**4 = 0. Calculate b.
-1, 0
Suppose -r - 2 = 4*o, 95*r + o + 3 = 96*r. Let h(v) be the third derivative of 10*v**r + 3/16*v**4 + 0 - 1/6*v**3 + 0*v + 1/48*v**6 - 1/10*v**5. Factor h(z).
(z - 1)**2*(5*z - 2)/2
Let y(r) be the first derivative of 3/20*r**4 - 3/10*r**2 + 4/5*r**3 - 12/5*r + 5. Factor y(a).
3*(a - 1)*(a + 1)*(a + 4)/5
Let z(r) be the first derivative of 3*r**4/50 + 22*r**3/75 + 12*r**2/25 + 8*r/25 + 29. Factor z(g).
2*(g + 1)*(g + 2)*(3*g + 2)/25
Let t be (-1)/(26/(-33680)) - -6. Let h = 1302 - t. Solve 16/13*u + 8/13 + 38/13*u**3 - h*u**4 - 54/13*u**2 = 0 for u.
-1/4, 1, 2
Let g be (-35)/11 + 3 - 3/((-165)/10). Factor 0 + 0*a**3 + 0*a + g*a**2 + 6/5*a**4 - 3/5*a**5.
-3*a**4*(a - 2)/5
Let m(l) be the first derivative of -l**7/525 - l**6/300 + l**5/75 - l**2 - 6*l + 4. Let q(x) be the second derivative of m(x). Suppose q(a) = 0. Calculate a.
-2, 0, 1
Let s(u) be the second derivative of 5*u**7/42 - 11*u**6/15 + 23*u**5/20 + 7*u**4/6 - 14*u**3/3 + 4*u**2 + 26*u. Suppose s(v) = 0. What is v?
-1, 2/5, 1, 2
Let g(k) be the first derivative of -5/48*k**4 - 1/240*k**6 + 3/2*k**2 - 1/6*k**3 + 0*k + 6 - 1/30*k**5. Let z(l) be the second derivative of g(l). Factor z(s).
-(s + 1)**2*(s + 2)/2
Determine i so that -2*i**3 + i**4 + 0*i**4 + 10*i - 7444*i**2 - 2*i**3 + 7437*i**2 = 0.
-2, 0, 1, 5
What is m in 84 - 23*m**2 - 374*m + 51*m**2 - 46*m**2 = 0?
-21, 2/9
Suppose y - 7*b = -6*b + 7, -4*y = -5*b - 32. Let z be ((-6)/9)/(2/y)*-3. Factor 6/7*f**z + 0 + 2/7*f + 2/7*f**4 + 6/7*f**2.
2*f*(f + 1)**3/7
Let u(z) be the first derivative of -z**3/5 - 87*z**2/5 - 171*z/5 - 81. What is a in u(a) = 0?
-57, -1
Let k(o) = 6*o**2 + o - 1. Let a(x) = x**3 + x**2 - x + 1. Let v(h) = 2*a(h) + 2*k(h). Solve v(w) = 0.
-7, 0
Let h be (-2185)/114 + 19 - 5/(-3). Determine b, given that 5/2*b + h - 1/2*b**3 + 1/2*b**2 = 0.
-1, 3
Suppose -4*f = -5*f + 4. Suppose h = -f*h. Factor 0 + 0*t**4 + 0*t - 1/4*t**3 + 1/4*t**5 + h*t**2.
t**3*(t - 1)*(t + 1)/4
Let f(n) be the third derivative of -5/8*n**4 + 5/3*n**3 + 1/12*n**5 - 1 + 20*n**2 + 0*n. Solve f(v) = 0 for v.
1, 2
Let h be ((-4)/3)/((-11)/(-33)). Let m = 6 + h. Let -u**2 - 4 + 2 + m*u + 2 = 0. Calculate u.
0, 2
Let v be 21/((-2100)/80)*3/(-6)*5. Solve 2/5*w + 0 + 1/5*w**v = 0.
-2, 0
Let t(v) be the second derivative of 0 - 17/48*v**4 - 19/24*v**3 - 1/4*v**2 + 33*v. Factor t(s).
-(s + 1)*(17*s + 2)/4
Let q(c) = c**2 + 2*c. Suppose -9*u + 5 = -8*u + 2*d, 4*d = 0. Let i(v) = -4*v**2 - 5*v. Let g(l) = u*q(l) + 2*i(l). Let g(f) = 0. What is f?
0
Let y = 5115 - 5113. Factor 0 - 2/11*r**y + 4/11*r.
-2*r*(r - 2)/11
Let s(i) be the first derivative of i**6/24 + 11*i**5/20 + 3*i**4/2 - 3*i**3 - 21. Factor s(q).
q**2*(q - 1)*(q + 6)**2/4
Let z be (-24)/36*(-18)/4. Factor -2*l**3 - l**z + 10*l**2 - 6*l + l - 2*l**3.
-5*l*(l - 1)**2
Let d(w) be the third derivative of 1/13*w**3 - 1/390*w**5 + 1/78*w**4 + 6*w**2 + 0 + 0*w. Factor d(n).
-2*(n - 3)*(n + 1)/13
Suppose -4*z + 14 = w - 0*z, 0 = -4*w + 5*z - 49. Let u be (-28)/(-98) + w/(-14). Factor u*g**2 - 4/7*g**3 + 0 - 1/7*g.
-g*(g - 1)*(4*g - 1)/7
Let d = -76822/7 + 10996. Let j = -593/28 + d. Solve -3/4*w**2 + j*w + 1/4*w**4 - 1/4*w**3 + 1/2 = 0 for w.
-1, 1, 2
Let q be (811*(-3)/(-54))/(2/8). Let l = q + -180. Factor -l + 2/9*k**4 - 4/9*k + 4/9*k**3 + 0*k**2.
2*(k - 1)*(k + 1)**3/9
Suppose 9/4*y**3 - 21*y - 9 - 39/4*y**2 = 0. What is y?
-1, -2/3, 6
Let q(s) = -s**3 - s. Suppose 0 = 4*v + t - 5, 0 = -4*v + 5*t - 22 - 3. Let r be q(v). Find p, given that 2/3*p**2 - 2/3 + r*p = 0.
-1, 1
Solve -5/3*x**3 - 5*x**2 + 20/3 + 0*x = 0.
-2, 1
Let q(r) = 2*r**3 - 5*r**2 + 3*r + 3. Let k(c) be the first derivative of 3*c**4/2 - 14*c**3/3 + 4*c**2 + 8*c + 5. Let m(x) = -3*k(x) + 8*q(x). Factor m(w).
-2*w**2*(w - 1)
Let j(q) = -6*q**3 + 6*q**2 - 4*q + 4. Let y(l) = -l**3 + l**2 - l + 1. Suppose -6 = -2*c + 2. Let r be ((-2)/8)/(2/8). Let o(a) = c*y(a) + r*j(a). Factor o(s).
2*s**2*(s - 1)
Let z(i) = 16*i**2 - 18*i + 18. Let g be z(1). Let o be (6*(-1)/g)/(1/(-1)). Factor -3/8*c - 3/4 + o*c**2.
3*(c - 2)*(c + 1)/8
Let z(o) be the first derivative of -5*o**2 - 25*o - 1/3*o**3 + 1. Suppose z(l) = 0. Calculate l.
-5
Let o(x) be the first derivative of x**5/10 + x**4/2 + x**3/2 + 146. Solve o(p) = 0.
-3, -1, 0
Let l(r) be the first derivative of r**4/2 - 32*r**3/3 + 29*r**2 - 28*r - 62. Let l(m) = 0. Calculate m.
1, 14
Let b(g) be the second derivative of 4/3*g**6 + 0*g**2 + 10*g**4 + 11/2*g**5 + 15/2*g**3 + 0 - 6*g + 5/42*g**7. Determine c, given that b(c) = 0.
-3, -1, 0
Factor 154*r**2 + 8*r + 8*r - 3*r**3 - 189 + 11*r - 262*r**2 + 129*r**2.
-3*(r - 7)*(r - 3)*(r + 3)
Let o(r) be the first derivative of r**7/630 - r**5/60 + r**4/36 + 4*r**2 + 13. Let h(d) be the second derivative of o(d). Find q, given that h(q) = 0.
-2, 0, 1
Let x be (-1)/(-3)*15 - 0. Factor z**4 + 0*z**4 + 0*z**4 + 3*z**x.
z**4*(3*z + 1)
Suppose 1/2*j**3 + 0 + 5*j - 7/2*j**2 = 0. What is j?
0, 2, 5
Let n(b) be the first derivative of -6/5*b**5 - b**4 + 0*b + 14/3*b**3 - 2*b**2 - 32. Factor n(h).
-2*h*(h - 1)*(h + 2)*(3*h - 1)
Let r(j) = j**3 - 3*j**2 - 