 0
Let n be 64/(-12)*-1 + (-8)/8*4. Factor -n*f**2 + 64/3 + 8*f.
-4*(f - 8)*(f + 2)/3
Suppose -46*w + 42 - 42 = 0. Let u(m) be the first derivative of -5/4*m**4 + 0*m**3 + w*m + 15 + 10*m**2. Determine x, given that u(x) = 0.
-2, 0, 2
Suppose -5*g = -f - 3*g + 75, 315 = 4*f - 5*g. Solve 8*c - 7*c**3 - 13*c**3 + f*c**2 + 67*c = 0.
-3/4, 0, 5
Let x be (6/9 + 3)/(6886/3756). Find o such that -o + 3/7*o**x - 6/7 = 0.
-2/3, 3
Let p = 245584 + -245506. Factor -3/2*t**2 - p*t - 1014.
-3*(t + 26)**2/2
Let y = 74843/10 - 7484. Let t(s) be the first derivative of y*s**2 - 1/5*s**3 + 1/20*s**4 - 21 - 1/5*s. Let t(q) = 0. What is q?
1
Let j(s) be the second derivative of -s**6/90 + s**5/5 + s**4/12 - 17*s**3/9 - 4*s**2 - 4296*s. Factor j(d).
-(d - 12)*(d - 2)*(d + 1)**2/3
Suppose 12 = -5*l + 2*l. Let k be (24/(-16))/(l/256). Factor -108*n**3 - n**5 + k*n**3 - 10*n**2 + 0*n - 3*n - 6*n**4.
-n*(n + 1)**3*(n + 3)
Let w(k) be the second derivative of -12167*k**5/40 + 529*k**4/4 - 23*k**3 + 2*k**2 + 1506*k. Factor w(t).
-(23*t - 2)**3/2
Let p be -8 - (-80)/(224/28). Factor 0 - 1/7*i**p + i.
-i*(i - 7)/7
Let a(k) = -3*k**3 - 27*k**2 - 69*k - 49. Let u(d) = -27*d**2 - 3*d**3 - 60*d - 42*d - 48 + 33*d. Let n(l) = 3*a(l) - 4*u(l). Factor n(c).
3*(c + 1)*(c + 3)*(c + 5)
Let c be (-22625)/(-100) - (2 + (-22)/8). Let q = c - 225. Solve 64/5 - 12/5*g**q + 14/5*g**3 - 64/5*g - 2/5*g**4 = 0 for g.
-2, 1, 4
Let g(z) be the third derivative of 0*z + 12*z**3 + 58*z**2 - 1/3*z**5 + 0 + 43/6*z**4. Factor g(v).
-4*(v - 9)*(5*v + 2)
Let t(p) be the first derivative of 3/40*p**5 + 9/2*p + 73 - 3/8*p**4 - 13/8*p**3 + 3/4*p**2. Solve t(d) = 0.
-2, -1, 1, 6
Let z(w) be the first derivative of -2645*w**6/6 - 15433*w**5 - 3340*w**4 - 580*w**3/3 + 3849. Solve z(g) = 0.
-29, -2/23, 0
What is v in 17*v**4 - 25*v**5 + v**4 + 28*v**4 + 41*v**4 + 23*v**4 + 40*v**2 - 140*v**3 = 0?
0, 2/5, 2
Let c(m) = 23*m + 186. Let z be c(-8). Let q be z + (-6 - -9)/3. Factor 5/3*g**q + 0*g**2 + 25/6*g**4 + 0 + 0*g.
5*g**3*(5*g + 2)/6
Factor -346*p**2 + 195*p**2 - 1089*p**2 + 5*p**3.
5*p**2*(p - 248)
Let o = 64522 + -580682/9. Factor -8/3 - 2/9*b**2 - o*b.
-2*(b + 2)*(b + 6)/9
Let i = 285 - 280. Find x, given that -2*x**5 + 48*x**4 - 48287*x**2 + 48527*x**2 + 112*x + 172*x**3 + 6*x**i = 0.
-7, -2, -1, 0
Let z(v) be the first derivative of v**7/140 + v**6/16 + 3*v**5/40 - 9*v**4/16 - 41*v**2/2 - 12. Let w(y) be the second derivative of z(y). Factor w(d).
3*d*(d - 1)*(d + 3)**2/2
Solve 22/3*y**3 - 4/3*y**4 + 0 + 8*y**2 + 0*y - 2/3*y**5 = 0.
-4, -1, 0, 3
Let r(x) be the third derivative of -2*x**7/105 - 11*x**6/30 + 14*x**5/5 - 2*x**4/3 - 112*x**3/3 - 13*x**2 - 35. Factor r(t).
-4*(t - 2)**2*(t + 1)*(t + 14)
Let g(o) be the second derivative of -5*o**4/48 + 15*o**3/8 + 45*o**2/2 + o - 49. Factor g(l).
-5*(l - 12)*(l + 3)/4
Let i(j) be the second derivative of -j**6/45 - 7*j**5/15 - 10*j**4/3 - 82*j**3/9 - 35*j**2/3 - 9857*j. Let i(q) = 0. Calculate q.
-7, -5, -1
Determine w so that -2/21*w**5 - 212/7*w**3 - 20/7*w**4 - 1958/7*w - 1452/7 - 2896/21*w**2 = 0.
-11, -3, -2
Suppose q = 1, -2*p - 475 = 4*q + 1. Let h be p/(-18) - (-17 - -9). Factor -29*w - 11/3*w**3 + h*w**2 - 6.
-(w - 3)**2*(11*w + 2)/3
Let x = 70001/6 - 11666. Let n(y) be the second derivative of 35*y + x*y**3 + 5/2*y**2 + 0 - 1/4*y**5 - 5/12*y**4. Solve n(a) = 0 for a.
-1, 1
Let y(c) be the second derivative of -c**5/130 + 64*c**4/39 - 19*c**3 + 1098*c**2/13 + 443*c - 8. Factor y(g).
-2*(g - 122)*(g - 3)**2/13
Let a be ((-165)/154)/(15/(-108)). Let l(v) be the second derivative of 1/28*v**4 + a*v**2 + 6/7*v**3 + 0 + 21*v. Solve l(x) = 0 for x.
-6
Let a(x) = -92*x + 219. Let w be a(-9). Let v = 1048 - w. Let 0*k**2 + 3/2*k - v - 1/2*k**3 = 0. What is k?
-2, 1
Let g(o) be the first derivative of o**5/60 + o**4/18 + 8*o - 64. Let m(x) be the first derivative of g(x). Factor m(n).
n**2*(n + 2)/3
Suppose -2*k - 273 = -277. Factor -7 - 49 - 432*u**k - 144*u + 422*u**2.
-2*(u + 14)*(5*u + 2)
Let w = -69255 - -69260. Find l, given that -36/7*l**2 + 12/7 - 22/7*l + 24/7*l**4 + 32/7*l**3 - 10/7*l**w = 0.
-1, 2/5, 1, 3
Let k(y) be the first derivative of -2*y**4/5 - 488*y**3/15 + 247*y**2/5 - 124*y/5 + 12163. Suppose k(j) = 0. What is j?
-62, 1/2
Let u(f) be the first derivative of f**7/945 + f**6/540 - f**5/270 - f**4/108 - f**2 + 4*f + 48. Let c(b) be the second derivative of u(b). Factor c(v).
2*v*(v - 1)*(v + 1)**2/9
Solve -37 - 1232*t + 13 - 10*t**2 + 6*t**2 + 24 = 0.
-308, 0
Let s(q) be the first derivative of -5*q**6/6 - 107*q**5 - 14035*q**4/4 + 15115*q**3/3 + 7020*q**2 - 14580*q - 781. Find n, given that s(n) = 0.
-54, -1, 1
Let o = -6634/3 + 2212. Factor 0 - o*s**2 + 20/9*s - 2/9*s**3.
-2*s*(s - 2)*(s + 5)/9
Let n = -2/4265 - -21333/17060. Let z(a) be the second derivative of -3/40*a**5 - n*a**3 - 3/2*a**2 + 18*a - 1/2*a**4 + 0. Determine m, given that z(m) = 0.
-2, -1
Let z(a) = 12*a**4 - 80*a**3 - 196*a**2 - 312*a - 72. Let d(j) = 9*j**3 + j - 1. Let k(f) = 8*d(f) + z(f). Let k(w) = 0. What is w?
-2, -1/3, 5
Suppose -2*a + 6 = 2. Let s(q) = q**2 - 45*q + 88. Let g be s(2). Suppose t**2 - 4*t + 4*t - 3*t**g - a*t = 0. What is t?
-1, 0
Let p(b) be the first derivative of b**6/80 - 29*b**5/360 + b**4/6 - b**3/9 + 10*b**2 - 2*b + 74. Let j(y) be the second derivative of p(y). Factor j(o).
(o - 2)*(o - 1)*(9*o - 2)/6
Let q(i) be the third derivative of -363*i**5/100 + 361*i**4/20 + 4*i**3/5 - i**2 - 8*i - 99. Let q(k) = 0. What is k?
-4/363, 2
Factor 15/2*l**3 + 28227 + 139971/2*l - 1452*l**2.
3*(l - 97)**2*(5*l + 2)/2
Let k = -1071793 - -11789733/11. Suppose -12/11 - 2/11*u**3 + 4/11*u**2 + k*u = 0. Calculate u.
-2, 1, 3
Suppose -54*u + 2 = -48*u + 2. Let k(w) be the third derivative of 18*w**2 + 0*w**3 - 1/10*w**4 + 0 + u*w - 1/150*w**5. Solve k(y) = 0 for y.
-6, 0
Determine u so that -1/2*u**2 + 33*u + 207/2 = 0.
-3, 69
Let o(k) = -355*k + 1220. Let p(h) = -h**2 - 361*h + 1220. Let z(x) = -6*o(x) + 5*p(x). Solve z(q) = 0 for q.
4, 61
Suppose -12 = -6*t - 0*t. Suppose 12*g**2 + 20*g**5 + 123*g**3 - t*g**2 - 34*g**2 - 88*g**4 - 31*g**3 = 0. What is g?
0, 2/5, 1, 3
Suppose 2*j = -b + 11, -2*j + 5*j - 34 = -5*b. Let y be j/((-12)/(-17)) + 245/(-196). Factor 18*f + 2/9*f**y + 0 + 4*f**2.
2*f*(f + 9)**2/9
Suppose -f + 14 = 10. Solve -52*g**2 + 20*g**f - 134*g**5 - 64*g**3 + 56*g + 74*g**5 + 32 + 68*g**5 = 0.
-4, -1, -1/2, 1, 2
Suppose 2*h + 48 = 14*h. Suppose -5*o**h + 46*o + 26*o + 5*o**2 + 30*o - 90*o**3 - o - 11*o = 0. Calculate o.
-18, -1, 0, 1
Let o(h) = 6*h**2 + 6*h - 222. Let v(q) = -q**2 - q + 32. Suppose -409*d + 399*d = 20. Let x(k) = d*o(k) - 15*v(k). Solve x(z) = 0 for z.
-4, 3
Let p(v) be the second derivative of -v**7/126 + v**6/30 + v**5/20 - 11*v**4/36 + v**3/3 - 639*v. Determine t, given that p(t) = 0.
-2, 0, 1, 3
Let l(p) = -31*p + 477. Let s(g) = 2*g**3 - 14*g**2 + 13*g + 9. Let h be s(6). Let r be l(h). Factor 0*o + 3/4*o**5 - r*o**2 + 6*o**3 + 0 + 21/4*o**4.
3*o**2*(o - 1)*(o + 4)**2/4
Let p be (-10)/45 + (1506/216 - 0). Solve -p*v**3 + v + 3*v**2 + 1/2*v**4 + 0 + 9/4*v**5 = 0.
-2, -2/9, 0, 1
Suppose -2*z - 68 = -2*g - 148, -2*g + 144 = 5*z. Solve 2/3*s**3 + z*s - 10*s**2 + 128/3 = 0 for s.
-1, 8
Factor -9856044 - 12504625 + 5369785 - 16488*m - 4*m**2.
-4*(m + 2061)**2
Let y(c) be the first derivative of -2*c**3/21 - 92*c**2/7 - 4232*c/7 - 239. Factor y(a).
-2*(a + 46)**2/7
Let l be -2*(11*(-7)/14 + 3). Let o(u) = 81*u**2 - 2*u + 1. Let m be o(1). Find c such that -l + 2 - 199*c**2 - 121*c**2 - m*c - 2 = 0.
-1/8
What is v in -1/4*v**4 - 15/4*v**2 + 325/4*v + 250 - 13/4*v**3 = 0?
-8, -5, 5
Let o(r) be the first derivative of 3*r**4/2 + 1465*r**3/2 + 201483*r**2/2 + 100467*r/2 + 4085. Find c such that o(c) = 0.
-183, -1/4
Let m(d) be the third derivative of 2*d**7/105 + 59*d**6/10 + 3538*d**5/5 + 112694*d**4/3 + 390224*d**3 - 894*d**2. Factor m(a).
4*(a + 3)*(a + 58)**3
Let o(x) = -x**2 - x + 1. Let u(n) = n**2 - 2. Let a be 7176/84 + (-6)/14. Let k be (a/51)/((-5)/(-6)). Let w(p) = k*o(p) + u(p). Determine b so that w(b) = 0.
-2, 0
Suppose -4*u = -2*z - 4, 0*u = -5*u + 5. Suppose z = -16*d + 10*d + 6. Factor -2 + 5*t + 1 - 4*t**2 - d + t**3.
(t - 2)*(t - 1)**2
Let i(b) be the second derivative of b**5/80 - 145*b**4/48 + 5467*b