 Let b be x(34). Find p such that 52/15*p - 338/15 - 2/15*p**b = 0.
13
Suppose 3*x + 4*f = -18, -1052*f - 30 = -1047*f. Factor 2/3*p**x + 8 - 14/3*p.
2*(p - 4)*(p - 3)/3
Let l = -54 - -55. Suppose -3*y = -2*u, 3*u = y + 2*u + l. Suppose -2*w**y - 9*w - 10*w**2 + 12*w**2 - 6 + 3*w**3 = 0. What is w?
-1, 2
Let z(i) be the first derivative of i**4/24 + 40*i**3/9 + 1517*i**2/12 - 1681*i/3 - 98. Factor z(y).
(y - 2)*(y + 41)**2/6
Suppose -12*c = 12 - 48. Suppose -12 = -c*p - p. What is n in -2*n**2 - n**2 - 4*n + p*n**4 + 10*n - 6*n**2 = 0?
-2, 0, 1
Let u(c) be the second derivative of c**5/5 - 20*c**4/3 + 74*c**3/3 - 36*c**2 - 4*c - 69. Find a such that u(a) = 0.
1, 18
Suppose -432*m = -377*m. Let x(v) be the first derivative of 2/25*v**5 + 0*v + 0*v**3 + m*v**2 - 2 - 1/10*v**4. Factor x(z).
2*z**3*(z - 1)/5
Let g(o) = -34 + 19 + 17*o**2 + o**3 - 19*o + 1. Let a be g(-18). Factor 13*d**3 - 16*d**a - 4*d**5 - 36*d - 5*d**3 - 30*d**2 + 41*d**2 + 37*d**2.
-4*d*(d - 1)**2*(d + 3)**2
Let g(y) be the first derivative of 14*y**3/45 + 29*y**2/15 + 44*y/15 + 903. Determine p so that g(p) = 0.
-22/7, -1
Factor 1/4*l**3 - 299/4*l**2 + 5625 + 5550*l.
(l - 150)**2*(l + 1)/4
Solve 228131 - 813*r - 225*r - 65*r**4 + 461*r**2 + 211*r**3 - 229355 - r**5 = 0.
-68, -2, -1, 3
Let s(r) be the third derivative of r**8/16800 + r**7/1260 + r**6/300 - r**4/24 - r**3/2 - r**2 + 33. Let a(n) be the second derivative of s(n). Factor a(j).
2*j*(j + 2)*(j + 3)/5
Let d(q) be the third derivative of 421*q**6/720 - q**5/180 - 421*q**4/36 + 2*q**3/9 + 2*q**2 + 1690*q. Let d(c) = 0. Calculate c.
-2, 2/421, 2
Let h(p) = p**3 - 4*p - 8*p**2 + 11*p + 2 + 5*p. Let g be h(6). What is x in -6*x**3 - 6*x**2 - 34*x**g - 80 - 100*x + x**3 = 0?
-4, -2
Let q be (-549)/(-3) + -8 + 1. Suppose 178*a = q*a + 4. What is g in 0 - 1/3*g - 1/3*g**a + 1/3*g**3 + 1/3*g**4 = 0?
-1, 0, 1
Let n(x) be the first derivative of -x**4/12 - 25*x**3/9 - 12*x**2 + 84*x + 3155. Let n(c) = 0. What is c?
-21, -6, 2
Let v(f) be the third derivative of 3 + 7/10*f**3 - 1/100*f**5 + 0*f - 3*f**2 - 3/20*f**4. Factor v(w).
-3*(w - 1)*(w + 7)/5
Let c be (-9)/(207/4)*(-621)/270*5. Factor -36/7*o**2 + 0 - c*o**3 + 2/7*o**4 + 0*o.
2*o**2*(o - 9)*(o + 2)/7
Let z(x) be the third derivative of 0 - 2*x + 1323/22*x**3 + 1/660*x**5 - 28*x**2 + 21/44*x**4. Find b such that z(b) = 0.
-63
Let w(j) = -j - 11. Let h be w(-3). Let f be 28/h*((-12)/7)/3. Factor -12 + 2*q**2 - 2*q**2 + 25*q - 5*q**f - 5*q**3 - 3.
-5*(q - 1)**2*(q + 3)
Let a(c) = 4 + 2*c + c**2 - 6*c**4 + c + 2*c**2 - 1. Let s = 148 + -151. Let r(i) = 11*i**4 - 6*i**2 - 5*i - 5. Let y(k) = s*r(k) - 5*a(k). Factor y(z).
-3*z**2*(z - 1)*(z + 1)
Let u = -5623 + 112469/20. Let q(g) be the second derivative of 0*g**2 - 3/2*g**3 + u*g**5 + 2*g**4 - 16*g + 0. Let q(o) = 0. What is o?
-3, 0, 1/3
Let f(p) = -4*p**2 - 277*p - 791. Let q be f(-3). Suppose 14/9*z**5 + 26/9*z**3 - 68/9*z**2 + 16/9 - 40/9*z + 52/9*z**q = 0. Calculate z.
-2, -1, 2/7, 1
Let a(i) = 4012*i - 40117. Let w be a(10). Let -1/2*k - 1/6*k**4 + 5/6*k**w + 1/6*k**2 - 1/3*k**5 + 0 = 0. Calculate k.
-3/2, -1, 0, 1
Find u such that -216 - 116*u - 1/2*u**4 - 10*u**3 + 181/2*u**2 = 0.
-27, -1, 4
Factor 3*j**2 - 2*j**2 + 154 - 336 + 16*j + 182.
j*(j + 16)
Factor -239*g**2 - 3*g**3 + 77*g**2 - 4788*g - 8664 - 72*g**2.
-3*(g + 2)*(g + 38)**2
Factor -7625535/2*b**2 - 1292195200805/4 - 5/4*b**4 + 1812335485*b + 3565*b**3.
-5*(b - 713)**4/4
Let z be -1 - (-17 + 3 + (2 - -3)). Suppose 0 = 4*i - 20 + z. Factor 2/5*f + 0 - 8/5*f**4 - 14/5*f**i - 4/5*f**2.
-2*f*(f + 1)**2*(4*f - 1)/5
Let j be 1900/4200 + 6/(-21). Factor j*i**2 - 1/3 + 1/6*i.
(i - 1)*(i + 2)/6
Let k(v) be the third derivative of v**7/30 + 19*v**6/30 - 13*v**5/20 - 38*v**4/3 + 22*v**3/3 - 3*v**2 - 90. Find a such that k(a) = 0.
-11, -2, 1/7, 2
Let p(j) be the third derivative of 0*j**4 + 0*j + 15*j**2 + 0*j**3 + 1/60*j**5 + 0. Let p(a) = 0. Calculate a.
0
Let s be (-12224)/192 - (0 - 64). Factor -s*p**2 - 3/2*p**4 - 11/6*p**3 + 0 + 0*p.
-p**2*(p + 1)*(9*p + 2)/6
Let s(n) be the third derivative of n**6/80 + 17*n**5/240 - 9*n**4/32 + n**3/6 + 418*n**2. Factor s(l).
(l - 1)*(l + 4)*(6*l - 1)/4
Let d(v) be the third derivative of 79*v**6/1020 - 473*v**5/255 + 235*v**4/17 + 24*v**3/17 + 2306*v**2 - 2. Factor d(t).
2*(t - 6)**2*(79*t + 2)/17
Suppose 6*v + 3344 = 10*v. Let -v + 2*k**2 + 836 - 6*k**2 = 0. What is k?
0
Let h(k) = -9*k**2 - 1113*k + 10211. Let f(m) = -m**2 - 139*m + 1276. Let p(j) = -17*f(j) + 2*h(j). What is b in p(b) = 0?
10, 127
Let n = 637 - 652. Let s be 2 + (n/5 - (2 - 6)). Suppose 25*a - 20 - 5/2*a**s - 5/2*a**2 = 0. What is a?
-4, 1, 2
Let b = 639140 - 639113. What is v in -48*v + b*v**2 + 30 + 3/8*v**4 - 6*v**3 = 0?
2, 10
Let p be ((-36)/(-126))/(3/189*6). Let v(u) be the second derivative of 1/48*u**4 + 0 + 0*u**2 - 1/24*u**p - 6*u. Find s, given that v(s) = 0.
0, 1
Let x(q) be the third derivative of q**6/24 + 5*q**5/2 + 805*q**4/24 - 18*q**2 - 29*q. Suppose x(z) = 0. What is z?
-23, -7, 0
Let k(f) be the second derivative of -130*f - 1156/7*f**2 + 0 - 68/21*f**3 - 1/42*f**4. Factor k(r).
-2*(r + 34)**2/7
Let y be (1351/(-147) - -9)/((-19415)/(-1771) - 11). Factor -y*h**2 + 2/3*h**3 + 38/3*h - 10.
2*(h - 3)**2*(3*h - 5)/9
Let u(v) be the third derivative of 0 + 2/135*v**5 - 1/540*v**6 + 2*v + 32/27*v**3 - 49*v**2 + 7/27*v**4. Factor u(m).
-2*(m - 8)*(m + 2)**2/9
Solve 128/3*b - 1/9*b**2 + 0 = 0 for b.
0, 384
Suppose -3*p + 0*p = -3*o + 102, 104 = 3*o - 5*p. Solve 18 + 204*b**2 - 4*b**4 + 54 - o*b - 60*b**3 - 179*b = 0.
-18, 1
Let g = -127 + 130. Let z(s) be the first derivative of 2/21*s**g + 1/2*s**2 + 26 - 1/28*s**4 + 4/7*s. Factor z(q).
-(q - 4)*(q + 1)**2/7
Factor 692*w**3 - 7*w**4 + 1262*w**3 - 2457*w**3 + 1002*w**3 + 2592 - 6624*w - 8710*w**2.
-(w - 36)**2*(w + 1)*(7*w - 2)
Let x = 10/877 - -1664/7893. Let k(r) be the second derivative of -1/36*r**4 + x*r**2 - 1/180*r**5 + r + 0*r**3 + 0. Let k(b) = 0. What is b?
-2, 1
Let r(u) be the second derivative of -u**7/42 - 233*u**6/30 - 6953*u**5/10 - 6263*u**4/2 + 41745*u**3/2 + 357075*u**2/2 + 6829*u. Find h such that r(h) = 0.
-115, -3, 3
Let b(a) be the first derivative of -a**3/3 + 1083*a**2/8 + 271*a/4 + 106. Factor b(z).
-(z - 271)*(4*z + 1)/4
Factor 1/5*m**3 + 73/5*m**2 - 304/5 - 232/5*m.
(m - 4)*(m + 1)*(m + 76)/5
What is l in 2/3*l**3 - 10/3*l**2 + 294 - 154/3*l = 0?
-9, 7
Let t(a) = 2*a**3 - 3*a**2 - 4. Let s be t(2). Suppose 5*d + 9 - 39 = 0. Factor -3*k**3 + s*k**3 + d*k + k**4 + 2*k**4 - 3*k**2 - 3*k**3.
3*k*(k - 2)*(k - 1)*(k + 1)
Let j(v) = -2*v**2 + 42*v + 441. Let y be (-6)/21 + (-330)/(-77). Let a(r) = 3*r**2 - 42*r - 441. Let b(z) = y*j(z) + 3*a(z). Find k, given that b(k) = 0.
-21
Let j(y) = 80*y + 3443. Let p be j(-43). Let f be 10/(-45) - (-488)/90. Factor 22/5 + 46/5*t + 2/5*t**p + f*t**2.
2*(t + 1)**2*(t + 11)/5
Suppose -3 = -2*a + 5*l + 8, 3*a + 4*l - 5 = 0. Let j(o) = 6*o**2 + 8*o - 9. Let y be j(9). Factor -3*p**4 + 5*p**3 - 2*p**a + y*p**2 - 543*p**2.
-3*p**2*(p - 2)*(p + 1)
Let p = -49 + 84. Let a = p - 30. Factor -2*r - 31*r**a + 28*r**5 + 2*r.
-3*r**5
Let x = 20622 - 20611. Let g(l) be the first derivative of 0*l + x - 2/5*l**5 - 2*l**4 - 2*l**2 - 10/3*l**3. Factor g(d).
-2*d*(d + 1)**2*(d + 2)
Factor -1/2*u**2 + 1475*u - 2175625/2.
-(u - 1475)**2/2
Let c(h) be the second derivative of -h**4/48 + 223*h**3/24 - 111*h**2/4 - 1910*h. Factor c(t).
-(t - 222)*(t - 1)/4
Suppose -24 = -7*x + 11. What is s in 5*s**4 - s**x - 4*s**4 + 6*s**2 - 8 - s**3 - 10*s + 12*s**3 + s**2 = 0?
-2, -1, 1, 4
Factor -36*a**2 + 0 + 486*a + 2/3*a**3.
2*a*(a - 27)**2/3
Let w(u) = 23*u**3 - 76*u**2 - 112*u - 35. Let n(k) = 34*k**3 - 113*k**2 - 168*k - 53. Let i = -88 + 83. Let q(s) = i*n(s) + 7*w(s). Factor q(z).
-(z - 5)*(3*z + 2)**2
Suppose -53 = k - 4*o - 9, 3*o - 39 = k. Let v be k/(-14)*33/9 - 6. Determine c, given that 0*c + v*c**4 + 4/7*c**5 + 0 - 2/7*c**2 - 4/7*c**3 = 0.
-1, -1/2, 0, 1
Let t be 95*(-6)/(-45) + 82 + -94. Factor 6 + t*m**2 - 20/3*m.
2*(m - 9)*(m - 1)/3
Let x = 1075 - 1070. Let l(r) be the third derivative of 0*r + 3/70*r**7 + 1/20*r**x + 0 - 1/8*r**6 + 0*r**3 + 1/8*r**4 - 6*r**2. Determine c so that l(c) = 0.
-1/3, 0, 1
Let s(d) = d**2 + 146*d - 31532. Let f be s(119)