 3*i**4 - 10*i - 16 + 17*i**3.
2*(i - 2)*(i + 1)*(i + 2)**2
Let g be (8/14)/((-4)/(-14)). Suppose -2*p**3 - 43*p + 16*p + 19*p - 8*p**g = 0. What is p?
-2, 0
Let s(o) be the first derivative of o**4/7 + 8*o**3/21 - 26*o**2 + 352*o/7 - 2316. Solve s(v) = 0 for v.
-11, 1, 8
Let o(h) = 23*h + 279. Let b be o(-12). Suppose -41*m**2 + 3 - b + 39*m**2 + 2*m**4 = 0. What is m?
-1, 0, 1
Let k be (-4)/3 + (49959/1358)/13. Let b = 1/291 + k. Factor b*i + 1 + 1/2*i**2.
(i + 1)*(i + 2)/2
Let o(n) = n**3 - 20*n**2 - 44*n + 2. Let c be o(22). Let q(m) be the third derivative of 0*m - 2*m**c - 1/180*m**5 + 0 + 1/18*m**3 + 0*m**4. Factor q(k).
-(k - 1)*(k + 1)/3
Suppose -3/5*p - 33/5*p**2 + 36/5 = 0. What is p?
-12/11, 1
Let r(k) be the first derivative of -k**6/9 + 4*k**5/5 - 7*k**4/6 - 4*k**3/3 + 8*k**2/3 - 1351. Suppose r(m) = 0. Calculate m.
-1, 0, 1, 2, 4
Let t = 458295/23 - 1363753/69. Let i be (-2)/(-8) + (-698)/(-24). Find h, given that 4/3*h**2 + i*h + t = 0.
-11
Let z = -31385 - -57674. Factor -z + 26289 + 12*f + 3*f**3 - 12*f**2.
3*f*(f - 2)**2
Let s be 7560/23940 - (-353)/(-95) - (-5)/1. Find o, given that 12/5*o - 3/5*o**3 + s - 2/5*o**2 = 0.
-2, -2/3, 2
Suppose 0 = 367*q - 392*q + 313 + 562. Let r(u) be the third derivative of 0*u + 0 - 1/42*u**7 - q*u**2 - 5/24*u**4 - 1/4*u**5 - 1/8*u**6 + 0*u**3. Factor r(a).
-5*a*(a + 1)**3
Let j(q) = q**3 + 7*q**2 - 21*q + 45. Let p be j(-10). Let w be (-153)/p - 1/1. Determine f so that w*f**2 + 0 - 3/5*f**5 - 9/5*f**4 + 0*f**3 + 0*f = 0.
-2, 0, 1
Let d(f) = 8*f**2 - 4*f - 4. Let l be (1/(-2))/((-6)/(-72)). Let g(a) = -a**4 + a**3 - 9*a**2 + 5*a + 4. Let t(b) = l*d(b) - 4*g(b). Factor t(i).
4*(i - 2)*(i - 1)*(i + 1)**2
Let q be 9*((-2)/(-18) + (-24)/(-108)). What is w in -36 - 46*w**q - 4*w**4 - 39*w**2 + 67*w**3 + 16*w**4 - 84*w = 0?
-2, -1, -3/4, 2
Let c = -52450 + 157351/3. Let 11*a + a**3 - c*a**4 + 23/3*a**2 + 14/3 = 0. What is a?
-2, -1, 7
Suppose 0 = 10*k - 229 + 419. Let a be -15 + 1186/76 - (-2)/k. Let -3/2 - 1/2*c**5 - a*c + 3*c**2 - 3/2*c**4 + c**3 = 0. Calculate c.
-3, -1, 1
Find c, given that c**4 + 221*c**2 - 10*c**4 + 180 + 13769635*c**5 - 13769636*c**5 + 384*c + 9*c**3 = 0.
-6, -1, 5
Let o = 113/110 - 51/55. Let i(x) be the second derivative of 0 + 3/2*x**4 + o*x**5 - 25*x**2 + 13*x + 5*x**3. Factor i(f).
2*(f - 1)*(f + 5)**2
Determine g, given that -5*g**2 - 261 + 55 - 1235 - 256 - 690*g + 337 = 0.
-136, -2
Let v(q) be the first derivative of -6*q**5 - 5/6*q**6 - 21 - 35/2*q**4 - 10*q - 45/2*q**2 - 80/3*q**3. What is y in v(y) = 0?
-2, -1
Suppose -3*f - h - 751 = -753, 5*f = 5*h + 30. Let d(b) be the first derivative of 2*b**3 + 2*b - 1/2*b**4 - f - 3*b**2. Find c such that d(c) = 0.
1
Let c be 1/(-4) + 1302/24. Let g = 57 - c. Let -16*t - 2*t - 4*t + 12 - 2*t**g + 12*t**2 = 0. What is t?
1, 2, 3
Let s = -830 - -830. Let z(c) be the second derivative of 8/9*c**3 + 7/135*c**6 + 1/3*c**5 + 4/9*c**2 + s + 21*c + 43/54*c**4. Determine k so that z(k) = 0.
-2, -1, -2/7
Let c(d) be the first derivative of 7*d**4/36 + 4*d**3/9 + 5*d**2/18 - 96. Factor c(u).
u*(u + 1)*(7*u + 5)/9
Let i(o) = -20*o**3 + 13350*o**2 + 8924475*o + 5. Let f(r) = -15*r**3 + 13352*r**2 + 8924476*r + 4. Let n(j) = 5*f(j) - 4*i(j). Factor n(s).
5*s*(s + 1336)**2
Let h be (1*18)/((-606)/(-22 + -79)). Factor 1/4*c**4 + 0 - 15/4*c**2 + h*c**3 - 13/2*c.
c*(c - 2)*(c + 1)*(c + 13)/4
Let r be (9/(-3) - -4)*-23*(-56)/644. Determine o so that 3 + 5/3*o**4 + o - 14/3*o**r - 2/3*o**3 - 1/3*o**5 = 0.
-1, 1, 3
Let c = 24814 + -24811. Let q(i) be the second derivative of 0 + 5/16*i**4 - 31/4*i**c + 9*i**2 - 38*i. Let q(t) = 0. Calculate t.
2/5, 12
Factor 8117 - 24384*j + 3915 + 18688*j**2 - 20*j**5 - 6496*j**3 + 16621*j**4 - 15709*j**4.
-4*(j - 2)**4*(5*j - 188)
Let a(z) = -3*z**2 + 1039*z - 90823. Let f(d) = -12*d**2 + 4155*d - 363291. Let u(r) = 21*a(r) - 5*f(r). Find o, given that u(o) = 0.
174
Let k(h) = -27*h**3 + 164*h**2 + 2561*h + 2410. Let w(y) = 16*y**3 - 81*y**2 - 1279*y - 1206. Let j(d) = 3*k(d) + 5*w(d). Factor j(v).
-(v - 100)*(v + 1)*(v + 12)
Solve 1452 + 523/3*p**3 - 7216*p + 4/3*p**4 + 16765/3*p**2 = 0 for p.
-66, 1/4, 1
Let m = 363870 - 1819349/5. Let 0 - 4/5*t - m*t**2 = 0. Calculate t.
-4, 0
Suppose 13*z = -6*z + 361. Let x be 92/(-12) + z + -10. Let -4/3*k**2 + 35*k**5 + x*k + 58/3*k**4 - 55/3*k**3 + 0 = 0. What is k?
-1, -2/7, 0, 1/3, 2/5
Let w(j) be the third derivative of -j**7/70 - 3*j**6/8 - 27*j**5/20 - 13*j**4/8 + 9*j**2 - 8*j. Suppose w(z) = 0. Calculate z.
-13, -1, 0
Suppose -6 = -5*j + 4. Suppose 10 = j*v, 5*v - 34 = -z - 2*z. What is r in r + 11*r**5 + 4*r - 2*r**4 - 6*r**5 - r - 15*r**z - 4*r**2 = 0?
-1, 0, 2/5, 2
Let c(h) = h**3 - 45*h**2 - 116*h - 80. Suppose 0 = -3*m + 13*m + 100. Let x(f) = f**3 - 23*f**2 - 58*f - 40. Let i(z) = m*x(z) + 6*c(z). Solve i(k) = 0 for k.
-5, -4, -1
Let i(d) be the second derivative of 2809/4*d**2 + d + 1/24*d**4 - 61 - 53/6*d**3. Factor i(m).
(m - 53)**2/2
Let x(v) = 8*v**4 + 91*v**3 + 269*v**2 + 96*v - 514. Let c(z) = -4*z**4 - 46*z**3 - 138*z**2 - 48*z + 256. Let l(q) = -5*c(q) - 2*x(q). Let l(d) = 0. What is d?
-7, -3, 1
Suppose 4*a - 10*f + 5*f = -4, 0 = 2*a + 4*f - 24. Determine l so that 4*l**4 - 4*l**3 + 14*l**3 + 10*l**3 + a*l**2 + 28*l**2 + 16*l = 0.
-2, -1, 0
Factor -4*c**5 + 3*c**3 - 12*c**4 + 75*c + c**3 - 27*c + 109 - 35 - 58 + 44*c**2.
-4*(c - 2)*(c + 1)**3*(c + 2)
Let k(q) be the second derivative of -q**5/100 - 37*q**4/60 - 4*q**3/5 + 216*q**2/5 - 7*q - 277. Solve k(a) = 0 for a.
-36, -4, 3
Factor 27 + 7/2*n**2 + 39/2*n.
(n + 3)*(7*n + 18)/2
Let w be 2/(-12)*(645/(-90))/(-43)*-2. Let d(v) be the first derivative of -1/3*v**5 + w*v**6 + 0*v - 7/9*v**3 + 3/4*v**4 + 28 + 1/3*v**2. Factor d(l).
l*(l - 2)*(l - 1)**3/3
Suppose -18 = -4*b + 2*c, 5*b + 2*c + 4 = 2*b. Suppose 0 = 4*n - b*n - 2*z, 8 = 4*z. Factor -3*r**4 - r + 3*r**n - 36*r**3 + 37*r**3 + 2*r**4 - 2.
-(r - 2)*(r - 1)*(r + 1)**2
Suppose 0 = 5*f - 2*m - 23, -1 = f + 2*m + 4. Suppose 15*a = 33 - f. Solve 1/3*d + 2/3 - 1/3*d**a = 0 for d.
-1, 2
Let f be (124/(-372))/((-2)/18). Let p(j) be the first derivative of 4/5*j**f + 8 - 14/5*j**2 - 24/5*j. Solve p(g) = 0 for g.
-2/3, 3
Let x(d) be the first derivative of -1/3*d**3 + 0*d**2 + 75 + 1/8*d**4 + 0*d. Suppose x(b) = 0. Calculate b.
0, 2
Let x(o) = -10*o**2 + 92. Let y(b) = 50*b**2 - b - 458. Let p(w) = 22*x(w) + 4*y(w). Find g, given that p(g) = 0.
-16/5, 3
Let -2352*n + 2*n**4 - 2993*n**2 + 6957*n**2 - 76*n**3 - 3194*n**2 = 0. Calculate n.
0, 7, 24
Let f be (-72)/(-60) + (-8)/(-10). Suppose f*c**3 - 46*c**2 + 37*c + 22*c**2 + 3*c = 0. Calculate c.
0, 2, 10
Let a = 4509/17 + -22528/85. Determine f so that -1/5*f**5 + 0*f**2 - a*f**3 + 2/5*f**4 + 0 + 0*f = 0.
0, 1
Factor 434*x**2 - 6 - 897*x**2 - 162 + 324*x + 361*x**2 - 9*x**3.
-3*(x - 2)*(x + 14)*(3*x - 2)
Let z(t) be the third derivative of -146*t**2 + 0*t - 20/3*t**3 - 7/18*t**4 + 1/45*t**5 + 0. Factor z(l).
4*(l - 10)*(l + 3)/3
Let b = -502 - -505. Suppose 2*w**b - 117*w**2 + 105*w**2 - 40 + 40 - w**3 - 13*w = 0. Calculate w.
-1, 0, 13
Let -220 + 185*y**4 - 1066*y + 528*y**2 + 629*y**3 + 966*y + 111*y**3 - 10*y**5 + 137*y**2 = 0. Calculate y.
-2, -1, 1/2, 22
Let x(u) = 4*u + 3. Let s be x(-2). Let y be 2*(3/2)/((-3)/s). Factor 33*w**y + 6*w**4 - 7*w**5 - 23*w**5.
3*w**4*(w + 2)
Let q = 642 - 642. Let r(h) be the second derivative of 14*h + 0 + q*h**4 + 5*h**2 - 5/2*h**3 + 1/4*h**5. Factor r(o).
5*(o - 1)**2*(o + 2)
Let r be (-46227)/45 - 1/(-5). Let t = r - -1028. Suppose 2/15*h**2 + t*h + 0 = 0. What is h?
-7, 0
Let -5*m**3 - 850*m**2 + 1094*m - 365*m - 364*m - 365*m = 0. Calculate m.
-170, 0
Let y = -5578 - -5580. Let n(v) be the second derivative of 13*v + v**4 + 0 - 8/3*v**3 - 2/15*v**6 + 2/5*v**5 - 8*v**y. What is m in n(m) = 0?
-1, 2
Suppose -9 = -l - 1. Let v(k) = 2*k**2 - 74*k - 716. Let m be v(45). Find n, given that -l*n + n**2 - 3*n - 3*n + m*n = 0.
0, 10
Let g(o) be the second derivative of -o**4/12 - 185*o**3/3 + 112*o - 1. Factor g(r).
-r*(r + 370)
Factor 12/5 + 16/5*d**3 - 106/5*d + 78/5*d**2.
2*(d - 1)*(d + 6)*(8*d - 1)/5
Let w(j) be the second derivative of 1/5*j**5 + j**4 + 113*j - 2/3*j**3 + 0 - 6*j**2. Factor w(q).
4*(q - 1)*(q + 1)*(q + 3)
Determine g, given that -1/6*g**4 