2/9 - 20*x/3 + 1493. Suppose w(q) = 0. What is q?
-6, -1, 2/13, 1, 5
Suppose 0 = -10*d - 4*d - 112. Let t = 48/5 + d. Let 1/5*y**3 - t*y + 2/5*y**2 + 0 = 0. Calculate y.
-4, 0, 2
Let q(k) be the first derivative of k**5/20 - 5*k**4/16 + k**3/2 + k**2/2 - 2*k - 1468. Factor q(y).
(y - 2)**3*(y + 1)/4
Let v = 22 + -12. Suppose 6*i = -v + 58. What is u in 3*u + i*u**3 - 2*u + u**5 - 10*u**3 = 0?
-1, 0, 1
Let c = 522 + -519. What is r in -2*r**3 - 12*r + 7*r**c + 3*r**3 - r**4 + 0*r**2 + 8*r**2 - 3*r**3 = 0?
-2, 0, 1, 6
Suppose 2*b - 42 = -2. Find v such that b*v**4 - 238*v**3 + 5*v**5 + 253*v**3 - 3*v + 3*v = 0.
-3, -1, 0
Let h be -59 - (35/25 + -2)*5. Let n be (-1)/3*(-14)/(h/(-36)). Factor -1/8*w**2 + 1/2 + 1/2*w - 1/8*w**n.
-(w - 2)*(w + 1)*(w + 2)/8
Let h be ((-70)/(-12))/(-5)*(-5 - (-6523)/1309). Let m(x) be the third derivative of 4/51*x**3 + 0*x + h*x**4 + 0 - 9*x**2 + 1/510*x**5. Factor m(k).
2*(k + 2)**2/17
Factor -r**3 - 4*r**3 - 5448*r + 1855*r**2 + 43051*r + 144710 + 26415 - 210578*r.
-5*(r - 185)**2*(r - 1)
Let t(n) = -2*n**2 - 65*n - 28. Let i be t(-32). What is v in -5*v + 2*v**3 - 4*v**i + 2*v + 12*v**2 + v + 4 - 12*v = 0?
-2, 1/2, 1
Let q(k) = 137*k**3 - 6*k - 6. Let t be q(-1). Let s = t + 139. Factor 2/7*h**3 + 0*h + 2/7*h**s + 0.
2*h**2*(h + 1)/7
Factor -2/5*o**2 - 98/5 - 28/5*o.
-2*(o + 7)**2/5
Factor -18*t**2 - 2/3*t**3 - 16*t + 104/3.
-2*(t - 1)*(t + 2)*(t + 26)/3
Let c(p) be the second derivative of -p**5/8 + 25*p**4/4 + 5*p**3/3 - 150*p**2 - 1752*p. Factor c(k).
-5*(k - 30)*(k - 2)*(k + 2)/2
Suppose -40*o = -515 + 435. Let w(n) be the third derivative of -1/17*n**3 + 1/102*n**4 + 20*n**o + 0*n + 1/510*n**5 + 0. Factor w(i).
2*(i - 1)*(i + 3)/17
Let m be (1 + -2 + 33/9)/(1330/17955). Let w(p) be the first derivative of -66*p**2 - 121/3*p**3 - 4 - m*p. Solve w(v) = 0 for v.
-6/11
Let b = 91013/10 - 45464/5. Find k, given that -5*k**2 - b*k - 4 - 1/2*k**3 = 0.
-8, -1
Let c(t) be the second derivative of t**4/18 + 502*t**3/9 + 63001*t**2/3 + 1337*t. Factor c(p).
2*(p + 251)**2/3
Let d(s) be the third derivative of 85/6*s**3 - 1/12*s**5 - 10/3*s**4 - 1 + 35*s**2 + 0*s. Factor d(w).
-5*(w - 1)*(w + 17)
Let y(m) = 7*m - 12. Let c be y(4). Suppose -c = -2*g - 4*s + 16, 0 = 2*g - s - 22. Factor -6*j - g*j - 3*j**2 + 1 - 28.
-3*(j + 3)**2
Solve -2/9*p**2 - 22/3*p - 20 = 0 for p.
-30, -3
Let m(b) = -3*b**5 - 7*b**4 - 2*b**3 - 13*b**2. Let d(q) = -2*q**4 - q**3 - 2*q**2. Let s(g) = -5*d(g) + m(g). What is o in s(o) = 0?
-1, 0, 1
Let q(f) be the first derivative of f**6/30 - 67*f**5/25 + 236*f**4/5 + 5908*f**3/15 + 1008*f**2 + 5184*f/5 + 1121. What is j in q(j) = 0?
-2, -1, 36
Let x(z) be the first derivative of 16*z**3/9 + 77*z**2/6 - 5*z + 420. Let x(f) = 0. Calculate f.
-5, 3/16
Let x(g) be the first derivative of -5*g**6/8 + 333*g**5/10 - 8091*g**4/16 + 1189*g**3 + 4977*g**2/2 - 10584*g - 2207. What is t in x(t) = 0?
-8/5, 2, 21
Factor -15/2*z + 9/4*z**2 + 3/4*z**3 + 0.
3*z*(z - 2)*(z + 5)/4
Let v(s) be the first derivative of s**5/5 - 936*s**4 + 3508126*s**3/3 - 3502512*s**2 + 3500641*s + 9889. Find c, given that v(c) = 0.
1, 1871
Let z be (-32)/(-80)*(7 - 2). Let 7 - 38*k - 21 - 30 + 8 - 2*k**z = 0. Calculate k.
-18, -1
Let a(t) be the first derivative of -t**4/20 + t**3/3 - 9526. Factor a(r).
-r**2*(r - 5)/5
Let a(g) be the first derivative of 8*g**5/15 + 19*g**4/3 - 56*g**3/9 - 74*g**2/3 + 40*g + 2701. Suppose a(d) = 0. Calculate d.
-10, -3/2, 1
Let p(h) be the third derivative of 5/336*h**8 + 1/14*h**7 + 0*h**3 + 0*h - 6 - 1/3*h**5 + 0*h**6 + 0*h**4 - 5*h**2. Factor p(g).
5*g**2*(g - 1)*(g + 2)**2
Let i(n) be the first derivative of 5/6*n**3 - 10*n**2 - 16 + 10*n + 5/24*n**4. Let k(q) be the first derivative of i(q). Factor k(v).
5*(v - 2)*(v + 4)/2
Let a = 1222 + -1224. Let s be (6 - 1*22/7) + a. Find b, given that -4/7*b**4 - 6/7*b**3 - 4/7 + 8/7*b**2 + s*b = 0.
-2, -1, 1/2, 1
Let w(d) = 2*d**2 + d. Suppose 4*m = p + 12, 2*p + 2*p = 3*m - 22. Let b(l) = 5*l**2 - 19*l + 23. Let r(f) = m*b(f) - 6*w(f). Factor r(i).
-2*(i - 1)*(i + 23)
Factor 1/7*m**2 + 468/7*m + 54756/7.
(m + 234)**2/7
Let s(k) = 2*k**2 - 1. Let r(i) = -55*i**2 + 100*i + 125. Let b(w) = r(w) + 30*s(w). Factor b(n).
5*(n + 1)*(n + 19)
Let -804/5*r**2 - 198/5 + 159*r + 12/5*r**3 = 0. What is r?
1/2, 66
Let v(t) be the second derivative of 2*t**6/15 - 194*t**5/5 - t - 2. Solve v(l) = 0 for l.
0, 194
Let a(l) be the first derivative of 1 - 2*l - 2/9*l**3 + 4/3*l**2. Suppose a(f) = 0. What is f?
1, 3
Let i be (-21920)/(-150) + -2 - (-2)/(-15). Let c be 69/184 + 38/i*-1. Factor 0 - 5/9*j**3 - c*j**4 - 4/9*j - 8/9*j**2.
-j*(j + 1)*(j + 2)**2/9
Suppose 195*t - 199*t + 108 = 4*y, 285 = 10*y + 5*t. Let -12*g**2 + y*g**4 + 0 + 0*g + 33*g**3 + 21/4*g**5 = 0. Calculate g.
-4, -2, 0, 2/7
Suppose 0 = -l + 4*c + 12, 4*c - 3*c = 3*l - 69. Suppose -6 = -3*r, -r - 133 = -4*m + m. Factor -l*d - 7 + m*d + 3*d**3 - 2 - 15*d**2.
3*(d - 3)*(d - 1)**2
Let b(a) be the first derivative of -a**8/3360 - a**7/560 - a**6/360 - 31*a**3/3 - 2*a - 26. Let r(l) be the third derivative of b(l). Solve r(x) = 0 for x.
-2, -1, 0
Solve 4/7*s**2 + 0 - 324*s = 0 for s.
0, 567
Let k(u) be the second derivative of -u**7/42 + u**6 - 12*u**5 - 34*u**2 + 203*u. Let q(s) be the first derivative of k(s). Factor q(c).
-5*c**2*(c - 12)**2
Let o(x) be the second derivative of 7*x**6/45 + 131*x**5/10 + 91*x**4/2 + 487*x**3/9 + 18*x**2 - 298*x - 5. Find v, given that o(v) = 0.
-54, -1, -1/7
Let d be 4/(-18) + 1140/513. Factor -8*c**2 - 10*c**d + 2*c**3 + 1458*c - 32*c**2 - 58*c**2.
2*c*(c - 27)**2
Solve 1364/7*z - 180/7*z**4 + 8 + 892/7*z**3 + 340*z**2 = 0.
-1, -2/45, 7
Let a = 141180/30877 + -4/4411. Factor 6/7*i**3 - 8/7 - 26/7*i**2 + a*i.
2*(i - 2)**2*(3*i - 1)/7
Suppose 168*b - 28 - 812 = 0. Let z = -1/652 - -18259/1956. Factor 76/3*n**3 + 64/3*n - 100/3*n**2 - z*n**4 - 16/3 + 4/3*n**b.
4*(n - 2)**2*(n - 1)**3/3
Let r(x) = -13*x**3 + 10*x**2 + 3*x. Let b(p) = -26*p - 33*p + 58*p + p**3. Let d(w) = -22*b(w) - 2*r(w). Determine m, given that d(m) = 0.
0, 1, 4
Suppose -2*u + 4 = 0, 18 = 5*f - 5*u + 3. Factor f*a**3 - 12*a**2 - 50*a - 19*a**2 - 40 + 42*a**2 - 16*a**2.
5*(a - 4)*(a + 1)*(a + 2)
Let z(b) be the second derivative of -3*b**5/20 - 35*b**4/4 - 33*b**3 - 827*b. Factor z(c).
-3*c*(c + 2)*(c + 33)
Suppose -139*k = -144*k + 15. Factor 7*m**5 - 6*m + 44*m**k - 3*m**5 + 24*m**4 - 42*m - 32 + 8*m**2.
4*(m - 1)*(m + 1)*(m + 2)**3
Let b(m) be the third derivative of m**6/540 + m**5/36 + m**4/9 + 79*m**3/6 - 8*m**2 + 2*m. Let s(q) be the first derivative of b(q). Factor s(p).
2*(p + 1)*(p + 4)/3
Factor 62*c**3 - 3274*c**4 + 3269*c**4 + 228*c**3.
-5*c**3*(c - 58)
Solve 0 - 261/2*u**3 - 21/4*u**5 + 78*u**4 + 48*u**2 + 39/4*u = 0.
-1/7, 0, 1, 13
Let g be (-2)/(((-153)/36)/17). Find a such that -g*a - 7*a - 4*a**4 - 8*a + a**2 + 4*a**3 + 19*a + 3*a**2 = 0.
-1, 0, 1
Suppose -6*u + 20 = 4*b, b + 1309 - 1311 = 0. What is w in 1/3*w**3 + 64/3 + 16*w - 5*w**u = 0?
-1, 8
Let t be (-3)/(6/((-153)/27 + 5)). Let b(v) be the third derivative of 0*v + 0 + 0*v**3 + 14*v**2 + 1/30*v**5 - t*v**4. Let b(d) = 0. Calculate d.
0, 4
Factor 333*l - 225/2*l**2 + 0 + 1/2*l**3.
l*(l - 222)*(l - 3)/2
Determine c, given that -133 + 1/6*c**2 + 107/6*c = 0.
-114, 7
Let q(v) = 130*v**2 - 2810*v - 3010. Let w(j) = 11*j**2 - 234*j - 251. Let m(d) = 3*q(d) - 35*w(d). Factor m(s).
5*(s - 49)*(s + 1)
Let m = -14739 - -14742. Let c(s) be the first derivative of -1/2*s**4 + 13 + 8/3*s**m + 0*s - 3*s**2. Solve c(v) = 0 for v.
0, 1, 3
Let p(s) be the third derivative of 0 + 45/4*s**6 + 0*s - 25/42*s**7 + 225/2*s**4 - 829/12*s**5 - 250/3*s**3 + 44*s**2. Factor p(m).
-5*(m - 5)**2*(5*m - 2)**2
Let n(z) = -2*z + 20. Let g be n(8). Let -15*q**2 + 14*q**4 - 3*q**4 - 6*q**g - 10*q = 0. Calculate q.
-1, 0, 2
Let u(x) = -13*x**2 - 111*x - 179. Let s(g) = 3*g**2 + 28*g + 46. Let v(i) = -9*s(i) - 2*u(i). Suppose v(r) = 0. Calculate r.
-28, -2
Let x be ((-32)/2 - (-2272)/144)/(1/(-18)). Let z(p) be the second derivative of 0 + 0*p**3 - 1/24*p**x + 28*p + p**2. Find v such that z(v) = 0.
-2, 2
Let -14/5*z**2 + 77/5*z + 18 - 1/5*z**3 = 0. What is z?
-18, -1, 5
Suppose 0 = -927*f + 934*f + 56. Let u be (-14 - -17)*f/(-6). Factor 1/4*i**2 + 0 - 1/4*i**u - 1/4*i