t.
-28, -3
Suppose 3*x - 6*x - 9 = 0. Let r be 1/x + (-273)/(-9). Solve -5*i**3 + 53*i - 102*i + 30 + 54*i - r*i**2 = 0 for i.
-6, -1, 1
Suppose 5*i + 10 = 2*k + 49, -2*i - 2*k = -10. Suppose -30 = -i*u - 8*u. Find q such that -8*q**2 + 25*q**u - 5*q**2 - 8*q**2 + 4*q**3 = 0.
-1, 0
Let p(u) = -u**3 + 22*u**2 + 2*u - 16. Let m be p(22). Determine y so that 18*y**3 + 55*y**2 + 18*y - 15*y**4 - 24*y - m*y**2 = 0.
-1, 0, 1/5, 2
Let h be (-1 + 45/25)/(2/235). Let m = h + 11. Factor -m*b**2 - 11 + 54*b**2 + 3 + 53*b**2.
2*(b - 2)*(b + 2)
Let u = 2158066/449595 + -2/89919. Solve -22/5*q + 4/5*q**2 + 2/5*q**3 - u = 0 for q.
-4, -1, 3
Let l be -1 + (-2)/2 + (-38 - (-106 - -64)). Factor -11/6*d**3 + 5/6*d**l + 0*d - 1/6*d**5 + 0 + 7/6*d**4.
-d**2*(d - 5)*(d - 1)**2/6
Let -358*h**2 + 7*h - 3 + 670*h**2 + 4*h**4 - 7*h**3 - 313*h**2 = 0. What is h?
-1, 3/4, 1
Let q = -732 + 1166. Let w be q/93*16/21. Factor -w*y**4 - 14/9*y**5 - 22/9*y**3 + 0*y + 0 - 4/9*y**2.
-2*y**2*(y + 1)**2*(7*y + 2)/9
Suppose -5*a + 0*a + 26 = -2*n, a - 14 = -4*n. Let g(s) be the second derivative of -3/20*s**5 - 20*s + 3/5*s**n - 9/10*s**3 + 3/5*s**4 + 0. Factor g(m).
-3*(m - 1)**2*(5*m - 2)/5
Let h(m) be the third derivative of 1/570*m**5 + 11/228*m**4 - 318*m**2 + 0*m + 6/19*m**3 + 0. What is d in h(d) = 0?
-9, -2
Let h(x) = 3*x**2 + 2*x - 49. Let v be h(-5). Factor -112*u + 66 - v*u**3 + 80 + 69 - 166 + 78*u**2 + u**4.
(u - 7)**2*(u - 1)**2
Factor -28 - 1/4*l**3 - 17/4*l**2 - 43/2*l.
-(l + 2)*(l + 7)*(l + 8)/4
Suppose 3*o = m + 1, -20*o + 1 = -22*o - m. Suppose o = 49*j - 54*j. Suppose 0*l**3 + 0*l**2 + 1/4*l**5 + 0*l + 0*l**4 + j = 0. Calculate l.
0
Let p be 8/(-20) - 1470/(-300). Let d(v) be the first derivative of 11/4*v**4 - 3/5*v**5 - 5*v**3 + p*v**2 - 2*v + 8. Let d(z) = 0. What is z?
2/3, 1
Solve 93 - 87/2*v - 48*v**2 - 3/2*v**3 = 0 for v.
-31, -2, 1
Let 7/3*l + 11/3*l**2 + 1/3*l**4 - 7/3*l**3 - 4 = 0. Calculate l.
-1, 1, 3, 4
Let d = 796751 + -3983729/5. Determine y, given that -1/10*y**3 + 28/5 + d*y + y**2 = 0.
-2, 14
Let d(r) be the first derivative of r**3/3 - 1622*r**2 + 2630884*r - 105. Suppose d(k) = 0. What is k?
1622
Suppose 33*d + 279*d = d + 933. Suppose 14/9*h**d - 2/9*h**4 - 2/9*h**5 + 0 - 4/3*h + 2/9*h**2 = 0. What is h?
-3, -1, 0, 1, 2
Suppose s + 16 = 19. Suppose -11 = -4*w - s. Find v such that -10*v - 4 - 6*v**2 - 25*v**4 + 13*v**4 + 5*v**4 + w*v**3 + 9*v**4 = 0.
-1, 2
Let w(n) be the first derivative of -n**4/21 + 20*n**3/21 + 78*n**2/7 - 122*n + 118. Let l(s) be the first derivative of w(s). Suppose l(p) = 0. Calculate p.
-3, 13
Let s be 15/(-2)*(-2)/(-3). Let x be -15*s/15 + -6 + 3. Let 0 - 2/3*n + 0*n**x + 2/3*n**3 = 0. Calculate n.
-1, 0, 1
Suppose -340267*p**3 + 680384*p**3 - 2*p**4 - 340287*p**3 = 0. What is p?
-85, 0
Let s(x) = 3*x**2 - 120*x - 8. Let t(a) = 8*a + 1. Let c be t(-7). Let v(b) = -40*b**2 + 1680*b + 110. Let h(n) = c*s(n) - 4*v(n). Suppose h(d) = 0. What is d?
-24, 0
Let a(b) = -b**2 + 7*b + 2. Let v be a(0). Factor 9*p**2 + 3*p - 4*p**2 + 320 - 83*p + 0*p**v.
5*(p - 8)**2
Let d(b) be the second derivative of 0*b**3 + 13 + 11/20*b**5 - 2/15*b**6 - 1/2*b**4 - 3*b - 1/42*b**7 + 0*b**2. Find s such that d(s) = 0.
-6, 0, 1
Let t(y) be the first derivative of -107*y**4/5 + 288*y**3/5 - 222*y**2/5 + 8*y/5 - 10. Solve t(r) = 0.
2/107, 1
What is i in -371 + 4018*i**2 - 8036*i**2 - 391 + 764*i + 4016*i**2 = 0?
1, 381
Solve 80*q - 304*q**4 + 60*q**2 - 292*q**4 + 591*q**4 = 0 for q.
-2, 0, 4
Suppose 2328 - 2296 = 16*s. Let c(i) be the third derivative of -1/30*i**6 + 1/6*i**3 + 1/10*i**5 + 1/210*i**7 + 0*i + 0 - 1/6*i**4 - i**s. Factor c(r).
(r - 1)**4
Suppose -12 = -3*b, 0 = -g + b - 3*b - 13. Let f be 14/g + 634/6. Suppose -181 - 1534 - f*m**2 + 2*m**3 - 2*m**3 + 5*m**3 + 735*m = 0. Calculate m.
7
Let q(k) = 3*k**2 - 99*k. Let p(n) = -9*n**2 + 297*n. Let u = -984 - -977. Let s(b) = u*q(b) - 2*p(b). Factor s(y).
-3*y*(y - 33)
Let -516*d**2 + 486*d**2 + 18*d + 12*d**3 + 3*d**4 + 54*d - 21*d**3 = 0. What is d?
-3, 0, 2, 4
Let j(p) be the third derivative of -p**8/171360 + p**7/1071 - 10*p**6/153 + p**5/60 + p**4/8 - 31*p**2. Let n(s) be the third derivative of j(s). Factor n(b).
-2*(b - 20)**2/17
Let t = 11 + -6. Suppose -3*p + 3*l - 3 = 6*l, l = t*p - 25. Find o such that -33*o**2 - 20*o**4 - 5*o**5 - 14*o**4 - 7*o**2 - 60*o**3 + 4*o**p = 0.
-2, 0
Let r(u) be the second derivative of 3*u**5/40 - 21*u**4/8 + 14*u**3 - 27*u**2 + 6434*u. Suppose r(x) = 0. What is x?
1, 2, 18
Let z(t) be the third derivative of -t**5/15 - 1744*t**4/3 - 6083072*t**3/3 + 111*t**2 + 4*t. Factor z(b).
-4*(b + 1744)**2
Let h be ((-8)/(-10))/((-26)/130). Let c be (h/42)/((-117)/273). Solve -c*x**2 - 2/9*x**3 + 2/9*x + 2/9 = 0.
-1, 1
Let q(b) be the third derivative of 0 - 25*b**2 + 0*b + 1/360*b**6 + 0*b**3 + 0*b**4 + 1/60*b**5. Suppose q(t) = 0. What is t?
-3, 0
Let i = 16/645 - -17756/12255. Let p = -154/285 + i. Factor 8/3*o + 16/15 + p*o**3 - 52/15*o**2.
2*(o - 2)**2*(7*o + 2)/15
Let h be (4/13)/(90/195). Let c(i) be the first derivative of h*i + 0*i**3 - 6 - 1/12*i**4 + 1/2*i**2. Factor c(j).
-(j - 2)*(j + 1)**2/3
Let a(k) = -5*k**3 + 14*k**2 - 89*k - 90. Let w(b) = -8*b**3 + 24*b**2 - 178*b - 180. Let f(h) = -10*a(h) + 6*w(h). Factor f(x).
2*(x - 9)*(x + 1)*(x + 10)
Suppose 10*h + 21 = -9. Let t be 0*8/64*8 - h. Solve 4/3*r**2 + 4/9 - 4/9*r**t - 4/3*r = 0 for r.
1
Let w = 22/1299 - -3743/9093. Suppose 36/7 - 24/7*d + 3/7*d**3 - w*d**2 = 0. Calculate d.
-3, 2
Let q = -46 - -66. Let h be ((-32)/40)/((-2)/q). Let -21*v + 11*v + 2*v**3 + h*v = 0. Calculate v.
-1, 0, 1
Let i(h) = -2*h**2 + 278*h - 3931. Let t be i(123). Factor -73728 - 2/3*z**t - 152064*z - 292/3*z**4 - 83040*z**2 - 14402/3*z**3.
-2*(z + 1)**2*(z + 48)**3/3
Suppose 378*z - 15 = 373*z. Let o be (-2)/z*-6 + 3 + -4. Factor -7/3*c + 7/3*c**o + 5/3*c**4 - 2/3 - c**2.
(c - 1)*(c + 1)**2*(5*c + 2)/3
Let u = 571082 - 7420112/13. Let s = u + -304. Solve 4/13*d**3 + 6/13*d**2 - 8/13*d - s*d**4 - 8/13 = 0.
-1, 2
Suppose -24*w + 1662 = -30*w. Let p = w - -277. Find c such that p - 10/7*c + 18/7*c**2 - 6/7*c**3 - 2/7*c**4 = 0.
-5, 0, 1
Suppose 5*l - 3*l = 2*s + 6, -2*s - 1 = -l. Let y = 79 - 77. Factor -25*c**3 + s*c**2 - 5*c**4 + 4*c**2 - 51*c**y - 35*c - 10.
-5*(c + 1)**3*(c + 2)
Let m(h) be the first derivative of -3*h**4/16 + 37*h**3/4 - 213*h**2/8 + 105*h/4 + 22. Suppose m(f) = 0. What is f?
1, 35
Let y = 2650898/4307667 - 2/331359. Factor -y + 10/13*b**2 + 16/13*b.
2*(b + 2)*(5*b - 2)/13
Let j(g) be the first derivative of -g**6/180 - g**5/40 - g**4/72 + g**3/12 + g**2/6 - 137*g - 24. Let d(i) be the first derivative of j(i). Solve d(f) = 0.
-2, -1, 1
Let d(u) be the first derivative of u**5/12 + 85*u**4/4 + 4335*u**3/2 - 12*u**2 + 55. Let l(w) be the second derivative of d(w). Factor l(p).
5*(p + 51)**2
Factor 794/9 - 1586/9*u + 2/9*u**3 + 790/9*u**2.
2*(u - 1)**2*(u + 397)/9
Let a(x) be the first derivative of 6/5*x**2 - 32/5*x - 192 + 2/15*x**3. Factor a(r).
2*(r - 2)*(r + 8)/5
Suppose 28*c - 51 = 5. Let p(y) be the first derivative of -8*y**c + 1/3*y**3 + 64*y + 1. Let p(x) = 0. Calculate x.
8
Let k(c) be the third derivative of -c**6/120 + 7*c**5/20 - 49*c**4/12 - 20*c**3 + 11*c**2 + 2*c - 113. Let k(n) = 0. Calculate n.
-1, 10, 12
Let h = 407 + -405. Suppose -269 + t**3 + 269 + 3*t**2 + h*t = 0. What is t?
-2, -1, 0
Let w(r) = -2*r**2 - 9*r + 16. Let q be w(-6). Let x(z) = 16*z**2 + 62*z - 36. Let o(d) = 5*d**2 + 20*d - 12. Let h(v) = q*x(v) + 7*o(v). What is n in h(n) = 0?
-6, 2/3
Let o = -130 + 132. Factor 17 - 403*j + 418*j + 1 + 3*j**o.
3*(j + 2)*(j + 3)
Let k = 875178/157087 - -3/22441. Let -3/7*l**2 + 36/7*l + k = 0. What is l?
-1, 13
Let j = 1 - 1/3. Suppose 17 = -12*h + 53. Factor 0 + 4/3*w - 4/3*w**h - 2/3*w**2 + j*w**4.
2*w*(w - 2)*(w - 1)*(w + 1)/3
Suppose 14*z - 20 = 8. Determine f, given that 27795*f**3 + 38 - 13362*f**3 + 22068*f**3 + 114 + 19044*f**z + 3312*f + 40 = 0.
-4/23
Let s(u) be the first derivative of u**4/4 - 556*u**3/3 - u**2/2 + 556*u + 4242. Factor s(v).
(v - 556)*(v - 1)*(v + 1)
Let m(f) be the first derivative of 8/3*f**2 + 31/9*f**3 - 4/3*f + 51 + 11/12*f**4. Factor m(r).
(r + 1)*(r + 2)*(11*r - 2)/3
Let r(a) = 3*a**4 + 11*a**3 - 32*a**2 + 32*a. Let o(b) = 2*b**4 + 2*