.
-5*l**2*(l - 1)**2
Let t be 54/(-15)*(-45)/216*6. Let -t*j**4 - 30*j**3 + 0 + 27/2*j**2 + 21*j = 0. What is j?
-7, -2/3, 0, 1
Let z(k) be the second derivative of -k**4/60 + k**3/6 + 63*k**2/5 + 30*k. Determine f so that z(f) = 0.
-9, 14
Let v(i) = -20*i**2 + 50*i + 28. Let y(l) = 40*l**2 - 103*l - 58. Let w(k) = 13*v(k) + 6*y(k). Let w(q) = 0. Calculate q.
-2/5, 2
Let s(w) be the third derivative of 0 + 16*w**2 + 2*w + 1/75*w**5 + 0*w**6 - 2/45*w**4 + 1/15*w**3 - 1/1575*w**7. Determine y so that s(y) = 0.
-3, 1
Factor 404 + 91*t + 404 - 805 + 456*t**2.
(19*t + 3)*(24*t + 1)
Let m = 37 - 11. Let v be 5 - 24/156*13. Factor -46 + m*u - v - 1 + 5*u**2 - 11*u.
5*(u - 2)*(u + 5)
Let m(f) be the third derivative of f**5/12 - 175*f**4/8 + 3*f**2 + 13. Factor m(v).
5*v*(v - 105)
Let j(x) be the first derivative of x**5 - 1465*x**4/4 + 1455*x**3 - 4355*x**2/2 + 1450*x + 5467. Determine r, given that j(r) = 0.
1, 290
Let n(y) be the first derivative of -y**6/9 + 68*y**5/5 - 2033*y**4/6 - 58928*y**3/9 - 17472*y**2 - 50176*y/3 + 4535. What is i in n(i) = 0?
-8, -1, 56
Let j(v) be the second derivative of -19*v**6/30 - 37*v**5/10 + 59*v**4/3 - 4*v**3 - 1536*v - 2. Let j(k) = 0. What is k?
-6, 0, 2/19, 2
Factor 2*j**3 + 82 - 145*j - 3*j**3 - 4*j**3 + 60*j**2 + 8.
-5*(j - 9)*(j - 2)*(j - 1)
Suppose 3*r - 6 = -4*k, -3*k - 4 = -2*r - 0. Let l = -67 - -75. What is i in 3*i - 7*i**r - 3*i + l*i**2 = 0?
0
Factor 312987/5*d - 33698267/5 + 1/5*d**3 - 969/5*d**2.
(d - 323)**3/5
Let p(y) be the second derivative of -y**6/120 - y**5/40 + 7*y**4/48 - y**3/6 + 34*y. Factor p(d).
-d*(d - 1)**2*(d + 4)/4
Let o(m) be the second derivative of 57*m**4/26 + 173*m**3/39 + 2*m**2/13 - 69*m - 12. Factor o(v).
2*(v + 1)*(171*v + 2)/13
Let w(d) be the third derivative of -d**8/336 + d**7/10 - 143*d**6/120 + 259*d**5/60 + 49*d**4/2 - 686*d**3/3 - 94*d**2 + 6. Factor w(l).
-(l - 7)**3*(l - 2)*(l + 2)
Let k = 2/70659 - -211969/282636. Determine q so that 5/2 + k*q - 1/4*q**2 = 0.
-2, 5
Suppose 0 = -4*f - y + 69 - 76, 0 = -5*f + 5*y + 35. What is q in 27/5*q**5 + 0*q**3 + f*q + 0*q**2 - 6/5*q**4 + 0 = 0?
0, 2/9
Suppose -o - 3*o + 12 = 0. Let d(l) = -4*l**2 - 4*l. Let y(k) be the first derivative of k**3 + 2*k**2 + k + 88. Let g(r) = o*y(r) + 2*d(r). Solve g(q) = 0.
-3, -1
Determine q, given that 9/5*q**2 - 1/5*q**3 - 4*q + 12/5 = 0.
1, 2, 6
Let m(h) be the third derivative of 0*h**4 + 6/385*h**7 + 0 + 40*h**2 + 1/55*h**6 + 0*h + 5/1848*h**8 - 4/165*h**5 + 0*h**3. Factor m(v).
2*v**2*(v + 2)**2*(5*v - 2)/11
Suppose 3*y - 11880 = -3*y. Suppose -2*p = 2*k - 5*k - 1320, 3*p = 5*k + y. Solve 644 + q**2 + 3*q**2 - p = 0 for q.
-2, 2
Let l = 1/58905 - -176711/235620. What is d in -6*d + l*d**2 + 0 = 0?
0, 8
Suppose 0*z - 2*z = 5*c - 33, 5*z - 5*c + 5 = 0. Suppose 29 = z*p + 9. Determine m so that -1/8*m**p - 2*m - 1/2 - 19/8*m**3 - 25/8*m**2 - 7/8*m**4 = 0.
-2, -1
Let a(o) be the first derivative of 2*o**3/21 + 1562*o**2/7 + 1219922*o/7 + 1327. Factor a(i).
2*(i + 781)**2/7
Let c be (8/6)/(51*890/13617). Determine y so that -12/5 - c*y**3 + 22/5*y - 8/5*y**2 = 0.
-6, 1
Let o(x) be the second derivative of 1/24*x**4 + 0*x**2 - 22*x - 3/2*x**3 - 3. Factor o(l).
l*(l - 18)/2
Let r(h) = -h**3 + 14*h**2 - 43*h + 18. Let z(q) = -4*q**2 - q - 1. Let j(o) = 3*r(o) - 6*z(o). Factor j(v).
-3*(v - 20)*(v - 1)**2
Let t(u) be the third derivative of u**8/1176 - 2*u**7/105 - 16*u**6/105 + 583*u**5/105 - 363*u**4/28 + 5039*u**2 - 2*u. Determine x, given that t(x) = 0.
-9, 0, 1, 11
Suppose 5*a - f - 115 = 0, 3*a + 6 = -2*f + 62. Suppose a*q = 154 - 88. Factor -1/6*j + 1/6*j**q - 1/6 + 1/6*j**2.
(j - 1)*(j + 1)**2/6
Let q = 169032 + -169029. What is j in -9/2*j**2 + 19/4*j**4 - 11/4*j + 1/2*j**q - 1/4 + 9/4*j**5 = 0?
-1, -1/9, 1
Let l be 65/7 - (-6)/(-21). Let j be ((-2)/l)/(14/(-126)). Solve 10*d - 36*d**j - 17 + 21*d**3 + 23 - d + 0*d = 0.
-2/7, 1
Let u(x) be the first derivative of -127 - 19*x + 1/6*x**3 + 17/4*x**2. Factor u(d).
(d - 2)*(d + 19)/2
Let b(m) = -8*m**4 + 41*m**3 + 29*m**2 - 92*m - 72. Let g(n) = 19*n**4 - 82*n**3 - 59*n**2 + 186*n + 142. Let q(a) = 13*b(a) + 6*g(a). Factor q(v).
(v + 2)**2*(2*v + 3)*(5*v - 7)
Let l(i) = -8*i**2 - 7*i - 9. Let s(b) = 3*b**2 + 3*b + 6. Let q(p) = 2*l(p) + 5*s(p). Suppose q(o) = 0. Calculate o.
-3, 4
Let f(h) be the second derivative of -3*h**5/100 - 4*h**4/5 + 18*h**3/5 + 483*h. Let f(t) = 0. What is t?
-18, 0, 2
Let q = 39623/475764 - -2/39647. Let k be (-2)/4 + (-4)/(-4). Determine a, given that -3/4 - q*a**2 - k*a = 0.
-3
Let a(j) be the second derivative of j**4/27 - 88*j**3/27 - 184*j**2/9 - j + 222. Factor a(m).
4*(m - 46)*(m + 2)/9
Let s(d) = d**5 - d**2. Let n(l) = 12*l**2 + 14*l**5 + l**3 + 9*l**4 + l**3 + 4*l**3 - 23*l**5. Let a(o) = -n(o) - 12*s(o). Let a(v) = 0. Calculate v.
-2, -1, 0
Let f = -121 + 124. Solve 200 + 4*v**f - 490*v + 11*v**3 + 76*v**2 + 199*v**2 = 0 for v.
-20, 2/3, 1
Let t(m) be the first derivative of -m**6/6 + 4*m**5/3 + 8*m**4 + 16*m**3/3 - 40*m**2/3 - 98. Solve t(c) = 0 for c.
-2, 0, 2/3, 10
Let f(q) be the third derivative of -93 + 7/44*q**4 + 0*q**5 - 1/220*q**6 + 0*q - 2*q**2 + 6/11*q**3. Determine a so that f(a) = 0.
-2, -1, 3
Let c be (-1)/29 - 20657/(-63336). Let m(l) be the third derivative of -c*l**4 + 17*l**2 + 0*l**3 + 1/60*l**5 + 0*l + 0. Factor m(q).
q*(q - 7)
Let m(r) be the first derivative of -r**4/16 + 5*r**3/12 + 11*r**2/4 + 4*r + 3515. Determine k so that m(k) = 0.
-2, -1, 8
Let a = -145 + 397. Suppose -198*o - 234*o**2 + a*o + 98*o**4 + 131*o**3 + 79*o**3 = 0. What is o?
-3, 0, 3/7
Let y(b) be the third derivative of b**6/240 - b**5/5 - 17*b**4/16 - 13*b**3/6 + 231*b**2 - 2*b - 2. Factor y(u).
(u - 26)*(u + 1)**2/2
Suppose -8 = -4*q + 4*u, -4*q - u = -7*q + 6. Solve -9*g**3 + 24 - 99*g + 12*g**q + g**2 + 71*g**2 = 0 for g.
1/3, 1, 8
Let r be 552/414*4/80*6. Factor r*f**2 + 12/5 + 14/5*f.
2*(f + 1)*(f + 6)/5
Suppose 7/3*u**5 - 10/3 - 10*u**4 + 40/3*u**2 + 9*u - 34/3*u**3 = 0. Calculate u.
-1, 2/7, 1, 5
Let b(q) be the second derivative of -q**5/4 + 845*q**4/12 - 415*q**3/3 - 840*q**2 - 8074*q. Find d, given that b(d) = 0.
-1, 2, 168
Suppose 5*v = -12*v - 85. Let c(b) = -6*b**2 - 129*b - 1449. Let f(a) = 11*a**2 + 259*a + 2899. Let o(x) = v*c(x) - 3*f(x). Solve o(n) = 0 for n.
-22
Let v(p) be the first derivative of 1/3*p + 0*p**3 - 1/24*p**4 + 36 + 1/4*p**2. Factor v(y).
-(y - 2)*(y + 1)**2/6
Let l = 27/4825 + 9569/14475. Factor 32/3 - l*s**2 + 0*s.
-2*(s - 4)*(s + 4)/3
Let s(z) be the second derivative of -1/90*z**4 - 49/15*z**2 - 14/45*z**3 + 50*z + 0. Factor s(o).
-2*(o + 7)**2/15
Let r = 43 + -39. Suppose 2*d = 3*x - 9, 5*d - 4 = -r*x + 31. Factor d - 136*q**3 + 24*q**2 + 18*q + 146*q**3 + 1.
2*(q + 1)**2*(5*q + 2)
Let u(z) = z**2 - 2. Let r(j) = -143*j - 48. Let v be ((-100)/4)/5 - -4. Let c(o) = v*r(o) - 5*u(o). Factor c(d).
-(d - 29)*(5*d + 2)
Let q(u) be the first derivative of u**4/78 - 2*u**3/13 - 16*u**2/13 + 74*u + 32. Let i(f) be the first derivative of q(f). Factor i(m).
2*(m - 8)*(m + 2)/13
Let b = -1729 - -8648/5. Let c(k) = k**3 - 2*k**2 + 4*k - 5. Let h be c(2). Factor 4/5 - 1/5*z**h - b*z**2 + 0*z.
-(z - 1)*(z + 2)**2/5
Let a = 2076 - 2066. Suppose -5*c = 3*v - 31, -a = -44*v + 49*v - 4*c. Determine o, given that -8/5 + 4/5*o + 12/5*o**v = 0.
-1, 2/3
Let w(f) be the second derivative of f**5/5 - 35*f**4 + 2450*f**3 - 85750*f**2 - 580*f. Factor w(c).
4*(c - 35)**3
Let b(v) be the second derivative of 1/72*v**4 + 0*v**3 + 138*v + 0 - 1/12*v**2. Let b(l) = 0. What is l?
-1, 1
Let y(g) = g**2 - 6*g - 6. Let s be y(6). Let p be s/4*-2 - (7 - 6). Solve -2*h**2 - h**2 + 24 - 4*h**2 - 36*h - 3*h**5 + 21*h**3 + h**p = 0 for h.
-2, 1, 2
Let x(l) be the second derivative of l**5/90 - l**4/9 - 145*l**3/27 + 50*l**2/3 - 9336*l. Solve x(c) = 0.
-10, 1, 15
Let v = 65 - 62. Let n = 2/3643 - -10915/25501. Determine q, given that -n*q**v + 6/7 - 6/7*q**2 + 3/7*q = 0.
-2, -1, 1
Let c be (-258)/(-602) - 4408/2478. Let l = -1/59 - c. Factor -l + 22/3*w**2 + 10/3*w + 8/3*w**3.
2*(w + 1)*(w + 2)*(4*w - 1)/3
Let i(a) be the first derivative of -a**6/270 + 17*a**5/90 + a**4 + a**3 + 23*a - 102. Let v(t) be the third derivative of i(t). Let v(f) = 0. Calculate f.
-1, 18
Let k = -42421 - -890843/21. Let o(x) b