+ 5 - 3*f**x - 3/4*f**4. Suppose l(y) = 0. Calculate y.
-3, 0
Suppose -33/4*o**2 + 255/4*o + 289/4 + 1/4*o**3 = 0. What is o?
-1, 17
Let o(u) be the first derivative of -12 + 0*u - 9/16*u**4 + 3/10*u**5 + 0*u**2 + 0*u**3 - 1/24*u**6. Factor o(d).
-d**3*(d - 3)**2/4
Suppose -21*v = -18*v. Suppose -4*c + 2*i + 4 = v, -3*c - 4*i + 28 = c. Factor -1/2*g**5 + 1/2*g**c + 0 - 1/2*g**4 + 0*g + 1/2*g**2.
-g**2*(g - 1)*(g + 1)**2/2
Let y be 17/1 + 3450/(-225). Factor y*u**2 + 4/3 - 8/3*u - 1/3*u**3.
-(u - 2)**2*(u - 1)/3
Determine j so that -13 - 3*j**3 - 5 - 5 + 8*j**2 + 3 - 14*j + 5*j**3 = 0.
-5, -1, 2
Factor 41*m**2 - 9*m**2 + 3*m - 4 - 31*m**2.
(m - 1)*(m + 4)
Let x(j) = j**5 - j**4 + j**2 - j - 1. Let p(v) = -7*v**5 - 10*v**4 - 9*v**3 - 4*v**2 + 2*v + 2. Let i(w) = -3*p(w) - 6*x(w). Find z such that i(z) = 0.
-1, -2/5, 0
Let f(r) = 2*r**3 + 3*r**2 + 7*r. Let c(u) = 4*u**3 + 7*u**2 + 13*u. Let k(q) = 3*c(q) - 5*f(q). Determine s so that k(s) = 0.
-2, -1, 0
Let a(y) be the second derivative of y**5 + 119*y**4/9 + 202*y**3/9 + 14*y**2 - 6*y + 13. Let a(l) = 0. Calculate l.
-7, -3/5, -1/3
Suppose 18*z - 14*z = -24. Let i be (-27)/18*16/z. Determine j so that 3*j**5 + 6*j**2 + j**3 - j**5 - 3*j**5 - j**i - 5*j**2 = 0.
-1, 0, 1
Let o be 4/18 + 4/(-9)*-22. Factor 4*s**2 - 3*s**2 - 13*s**2 + o*s**4 + 9*s**3 + 3*s**5 + 2*s**4 - 12*s.
3*s*(s - 1)*(s + 1)*(s + 2)**2
Let p(d) be the second derivative of 6/5*d**5 + 0*d**2 + 2/21*d**7 + 4/3*d**4 + 8/15*d**6 + 2/3*d**3 + 0 - 14*d. Factor p(m).
4*m*(m + 1)**4
Let u(l) be the third derivative of -7/120*l**4 + 24 + 1/300*l**5 + 0*l + 1/3*l**3 + l**2. Factor u(k).
(k - 5)*(k - 2)/5
Let a = -5/2397 - -26387/9588. Suppose -3/2 - p**2 - a*p = 0. Calculate p.
-2, -3/4
Let a(l) be the third derivative of l**8/1680 + 11*l**7/1050 + 31*l**6/600 + 17*l**5/300 - 4*l**4/15 - 14*l**3/15 + 62*l**2 + 1. Determine c so that a(c) = 0.
-7, -2, -1, 1
Suppose -5*s - 4*n + 8 = 0, -4*n - 13 - 19 = -5*s. Let r(x) be the second derivative of 0 - 2/3*x**3 + 16/15*x**s - 5*x - 4/5*x**2 - 9/25*x**5. Factor r(w).
-4*(w - 1)**2*(9*w + 2)/5
Let j(l) = -l**3 - 3*l**2 + l + 3. Let y be j(-3). Suppose 8*q - 5*q - 6 = y. Solve b**5 - 17*b**q + 9*b**2 - 1 + 12*b**3 - 6*b**4 + 1 = 0 for b.
0, 2
Let q be 1*3*6/36. Suppose 12 = -47*r + 53*r. Let -5/2*d**r + q + 2*d = 0. Calculate d.
-1/5, 1
Let h = -124 - -124. Let m be (-36)/(-90)*(2 + h). Factor -4/5 + 2/5*d + m*d**2 - 2/5*d**3.
-2*(d - 2)*(d - 1)*(d + 1)/5
Let o(r) be the second derivative of r**7/63 + 8*r**6/135 + 2*r**5/45 - 83*r - 3. Find m such that o(m) = 0.
-2, -2/3, 0
Let j be (3/5 - 1) + (-4752)/(-880). Let d(a) be the first derivative of -6 + 72/7*a**2 - 64/7*a + 5/4*a**4 + 3/35*a**j + 44/7*a**3. Factor d(k).
(k + 4)**3*(3*k - 1)/7
Let w be (9/6)/(17/34). Let j(o) be the first derivative of 0*o + 4/3*o**w - 7/2*o**4 + 5 + 16/5*o**5 + 0*o**2 - o**6. Find k such that j(k) = 0.
0, 2/3, 1
Let i(d) be the second derivative of d**4/108 - 8*d**2/9 + 67*d + 2. Factor i(h).
(h - 4)*(h + 4)/9
Suppose -l + 33 = -i, 3*i + 186 = 5*l + 5*i. Let j be -10*(6/l)/(1/(-3)). Factor 0 + 1/4*a**j - 1/2*a**3 + 1/4*a + 0*a**2 + 0*a**4.
a*(a - 1)**2*(a + 1)**2/4
Let y(p) = -2*p - 3*p + 9*p + 6 - 2*p**2. Let r(a) = -2*a**2 + 3*a + 5. Let l(j) = 6*r(j) - 5*y(j). Factor l(g).
-2*g*(g + 1)
Let s(a) be the second derivative of a**5/30 + a**4/3 - a**3/9 - 2*a**2 - 2*a - 10. Solve s(w) = 0.
-6, -1, 1
Let q(d) be the second derivative of -14*d**6/3 - 164*d**5/5 - 100*d**4/3 - 32*d**3/3 + 2*d - 9. Let q(x) = 0. What is x?
-4, -2/5, -2/7, 0
Let q(j) be the first derivative of -j**6/90 - j**5/30 - 2*j**3 + 5. Let n(y) be the third derivative of q(y). Factor n(p).
-4*p*(p + 1)
Let f(s) = s**3 - 4*s**2 + 71*s - 281. Let w be f(4). Suppose -2/9*u**w + 2/9*u + 0*u**2 + 0 = 0. What is u?
-1, 0, 1
Solve -2*y**5 + 53/6*y**3 + 17/6*y**4 + 0 - 34/3*y**2 - 10/3*y = 0.
-2, -1/4, 0, 5/3, 2
Let i be 6*(13 - 12)/42. Find g such that -3/7 + i*g**3 - 1/7*g + 3/7*g**2 = 0.
-3, -1, 1
Let v(y) be the third derivative of -11*y**2 + 0 + 0*y + 5/72*y**4 - 1/1008*y**8 + 2/315*y**7 - 1/9*y**3 - 1/90*y**5 - 1/90*y**6. What is j in v(j) = 0?
-1, 1, 2
Let o(m) be the first derivative of m**6/51 - 18*m**5/85 - m**4/34 + 6*m**3/17 - 222. What is i in o(i) = 0?
-1, 0, 1, 9
Let l = 1026 + -1022. Find c, given that -1/6*c + 1/3 + 1/6*c**3 + 1/6*c**l - 1/2*c**2 = 0.
-2, -1, 1
Let r(b) be the first derivative of b**3/6 - 37*b**2/20 + 7*b/5 + 747. Factor r(g).
(g - 7)*(5*g - 2)/10
Factor -12/5*y**3 + 0 + 4/5*y**5 + 0*y**4 + 0*y - 8/5*y**2.
4*y**2*(y - 2)*(y + 1)**2/5
Let a(q) be the second derivative of -q**6/90 + q**4/12 + q**3/9 + q - 1. Factor a(r).
-r*(r - 2)*(r + 1)**2/3
Let n(v) = -8*v - 13. Let j be n(-6). Suppose -j - 17 = -13*s. Let -1/3*x**5 + 0 + 2/3*x**2 + 0*x - 5/3*x**3 + 4/3*x**s = 0. Calculate x.
0, 1, 2
Suppose 5*w = p + 6, 3*p + 2*p - 28 = -4*w. Let a(f) = f**3 - 3*f**2 - 2*f - 4. Let u be a(p). Factor -2*j + 2*j + 4*j**2 - 18*j**3 + 7*j**4 + 7*j**u.
2*j**2*(j - 1)*(7*j - 2)
Let f(h) = 839*h**5 + 124*h**4 + 17*h**3 - 6*h**2 - 6. Let b(g) = 7550*g**5 + 1115*g**4 + 155*g**3 - 55*g**2 - 55. Let i(r) = 6*b(r) - 55*f(r). Solve i(a) = 0.
-1/13, 0
Let j = 46 + -43. Determine z, given that j*z**4 + 0*z**3 + 0*z**2 + 19*z**2 + 17*z**2 + 18*z**3 + 24*z = 0.
-2, 0
Let i(h) be the second derivative of h**6/75 - 3*h**5/25 + 11*h**4/30 - 2*h**3/5 - 7*h - 30. Factor i(q).
2*q*(q - 3)*(q - 2)*(q - 1)/5
Let 4*a**4 - 1092*a**3 + 6*a**2 - 2*a**2 + 1084*a**3 = 0. Calculate a.
0, 1
Suppose 3*n + 13 - 4 = 2*t, -t = -5*n - 8. Suppose -r = t*r - 4*i + 12, 0 = -5*r - 3*i + 25. What is m in 2*m**3 + 6*m**4 - r*m**4 - 2*m**4 = 0?
-1, 0
Let h = 56 - 97. Let n be h/(-12) - (-5 + (-69)/(-12)). Let 4*a**3 - n*a**4 + 0 + 2/3*a - 8/3*a**2 + 2/3*a**5 = 0. What is a?
0, 1
Let r = -8147/14 - -582. Let a(g) be the first derivative of 0*g - 3 + 0*g**4 + 2/35*g**5 + r*g**2 - 1/42*g**6 - 2/21*g**3. Factor a(b).
-b*(b - 1)**3*(b + 1)/7
Let q(r) = -15*r + 16*r + 4 - 2. Let a be q(2). Find y such that a*y**3 - 4*y**3 - 3*y**3 + 2 + y - 4*y**2 = 0.
-1, 2/3
Let s(p) be the second derivative of 3*p**5/20 + 237*p**4/14 + 394*p**3/7 - 396*p**2/7 - 814*p. Find c such that s(c) = 0.
-66, -2, 2/7
Suppose 2 + 7/5*v + 1/5*v**2 = 0. Calculate v.
-5, -2
Let -116*g**2 + 3*g**4 + 46*g + 8*g**4 + 9*g**4 + 10*g - 2*g**5 - 8*g**3 + 2*g**3 + 144 = 0. Calculate g.
-2, -1, 2, 9
Factor 32/3*w + 128/3 - 1/3*w**4 + 17/3*w**3 - 26*w**2.
-(w - 8)**2*(w - 2)*(w + 1)/3
Let h(q) be the first derivative of -q**4/14 + 8*q**3/21 - 4*q**2/7 + 82. Factor h(r).
-2*r*(r - 2)**2/7
Let d = 935 + -932. Let m(o) be the first derivative of 3/4*o**2 - 1/12*o**d - 9/4*o - 2. Let m(z) = 0. What is z?
3
Let r be 56/12 + (-8)/(-6). Suppose 4*k = -3*c + 48, -k - c - 23 = -4*k. Factor t - 6*t**2 + 7*t + 12*t**4 + k*t**3 - r*t**2 - 17*t**3.
4*t*(t - 1)*(t + 1)*(3*t - 2)
Let q(p) be the second derivative of -p**7/336 - p**6/120 + 39*p**5/160 - 3*p**4/4 + 105*p - 1. Solve q(l) = 0.
-8, 0, 3
Let k(y) be the first derivative of y**6/27 + 2*y**5/45 - y**4/9 - 4*y**3/27 + y**2/9 + 2*y/9 + 51. Factor k(d).
2*(d - 1)**2*(d + 1)**3/9
Let q(o) be the first derivative of 0*o**2 + 2/9*o**3 - 8/3*o + 33. Suppose q(i) = 0. Calculate i.
-2, 2
Let h(f) be the third derivative of -f**5/270 - f**4/12 - 20*f**3/27 - 3*f**2 + 16. Factor h(l).
-2*(l + 4)*(l + 5)/9
Let b(p) be the second derivative of -p**7/147 - p**6/105 + 9*p**5/70 + 5*p**4/42 - 16*p**3/21 - 12*p**2/7 - 14*p + 5. What is s in b(s) = 0?
-3, -1, 2
Let c(m) be the third derivative of m**6/660 - 3*m**5/55 + 17*m**4/132 + 72*m**2 - m. Factor c(b).
2*b*(b - 17)*(b - 1)/11
Let x(p) = -12*p + 9. Let b be (-4)/3*(-3)/(-2). Let u be ((-8)/b)/(10 + -8). Let q(o) = o**2 - 12*o + 10. Let s(r) = u*x(r) - 3*q(r). Solve s(y) = 0.
2
Let s(j) = j**2 + 3. Let k(o) = 3*o**2 + 10*o + 12. Let p(r) = -k(r) + 4*s(r). Determine v, given that p(v) = 0.
0, 10
Let c(j) be the second derivative of 23*j - 1/180*j**6 - 1/9*j**4 + 0 + 0*j**2 + 1/24*j**5 + 1/9*j**3. Factor c(y).
-y*(y - 2)**2*(y - 1)/6
What is r in -86/3*r**3 - 1024/15 - 14/15*r**4 + 896/3*r - 1004/5*r**2 = 0?
-16, 2/7, 1
Let k(q) = -19*q - 164. Let r be k(-9). Let f(x) be the third derivative of 0*x**3 - 1/120*x**5 - r*x**2 + 0 + 0*x - 1/48*x**4