Let f = -48 + 50. Determine t, given that 28*t + 0*t**f + 0*t**2 - 8*t**2 + 16 = 0.
-1/2, 4
Let v(i) = -i**3 + i**2 - 2*i - 1. Let m be v(4). Let j = -54 - m. Determine a so that -44*a**2 + 143*a + 4*a**j - 47*a + 56 + 88 = 0.
-1, 6
Let g(q) = q**3 - q**2 + 2*q + 1. Let n(h) = 539*h - 18055*h - 1296*h - 338*h**2 - 351230. Let c(o) = -2*g(o) + n(o). Find v such that c(v) = 0.
-56
Let x = 187831 - 1314815/7. Determine w so that x*w**2 - 4/7 + 2/7*w = 0.
-2, 1
Let h(o) be the third derivative of 1/18*o**4 + o**2 + 2/9*o**3 + 1/180*o**5 + 0 - 17*o. Suppose h(m) = 0. What is m?
-2
Let t be -2 + (-189)/15 + (-165)/(-42 - -31). What is q in -2*q**3 + t*q**4 + 0 - 12/5*q**2 + 0*q = 0?
-1, 0, 6
Let r(t) be the third derivative of 1/12*t**4 - 1/20*t**6 + 2/15*t**5 - 47*t**2 - 1 - 2/3*t**3 + 0*t. Factor r(s).
-2*(s - 1)**2*(3*s + 2)
Let f(q) be the third derivative of 0*q + 7/2*q**3 + 9/160*q**6 + 65/32*q**4 + 200*q**2 + 23/40*q**5 + 0. Determine i so that f(i) = 0.
-28/9, -1
Let v = 7057 + -7057. Let g(f) be the third derivative of -1/78*f**5 + v*f**4 + 0*f + 1/780*f**6 + 0*f**3 + 0 + 25*f**2. Factor g(h).
2*h**2*(h - 5)/13
Solve 0 + 16/5*a**3 + 2/5*a**4 - 306/5*a**2 + 0*a = 0 for a.
-17, 0, 9
Let n(a) be the third derivative of a**7/70 - 3*a**6/8 + 41*a**5/10 - 24*a**4 + 80*a**3 + 8*a**2 - 5*a. Let n(j) = 0. Calculate j.
2, 4, 5
Let d(j) be the third derivative of j**6/280 - 29*j**5/35 + 115*j**4/56 - 6*j**2 - 39*j. Factor d(t).
3*t*(t - 115)*(t - 1)/7
Let x(a) be the third derivative of a**8/25200 - a**7/1050 - a**5/30 + 20*a**3/3 - 2*a**2 - 33. Let o(z) be the third derivative of x(z). What is s in o(s) = 0?
0, 6
Let u(i) be the third derivative of -i**7/490 + 3*i**6/280 + 33*i**5/140 + 53*i**4/56 + 12*i**3/7 - 6*i**2 - 276. Let u(j) = 0. Calculate j.
-3, -1, 8
Let p(w) = -44*w**2 + 429*w + 110. Let n be p(10). Let t(g) be the second derivative of -13/18*g**3 + n + 2*g**2 + 32*g + 1/36*g**4. Solve t(a) = 0.
1, 12
Suppose 0 = 5*m - 4*i + 5, -2*m + 4*i - 16 + 2 = 0. Let r(y) be the first derivative of -5 - 6 + 0 - y**m + 6*y**2 - 5. Let r(n) = 0. What is n?
0, 4
Suppose -676/19*x**3 - 2/19*x**5 - 174/19*x**4 - 166/19 - 666/19*x - 1004/19*x**2 = 0. What is x?
-83, -1
Let 641*v**3 - 2880*v**4 + 5497*v**4 - 2830*v**4 + 4*v - 432*v**2 = 0. What is v?
0, 2/213, 1, 2
Let l(i) be the first derivative of -i**4/18 + 10*i**3/9 + 4*i**2/9 - 40*i/3 + 1310. Factor l(p).
-2*(p - 15)*(p - 2)*(p + 2)/9
Suppose -32*a = -4*m - 136, 0 = -122*a + 124*a + 2*m + 14. Find k, given that -21/2*k + 9/2 - 3/2*k**a + 15/2*k**2 = 0.
1, 3
Factor 2/3*f**3 + 0 - 42*f**2 - 260/3*f.
2*f*(f - 65)*(f + 2)/3
Factor 3/5*u**2 - 648 - 171/5*u.
3*(u - 72)*(u + 15)/5
Let j(g) be the third derivative of g**7/35 - 319*g**6/120 + 4421*g**5/60 - 598*g**4/3 + 338*g**3/3 + 1148*g**2. Factor j(y).
(y - 26)**2*(y - 1)*(6*y - 1)
Factor 1413/4 - 3/4*c**2 + 705/2*c.
-3*(c - 471)*(c + 1)/4
Let g(t) = 10*t**4 + 835*t**3 + 1360*t**2 + 535*t - 35. Let b(o) = o**4 + 93*o**3 + 151*o**2 + 59*o - 4. Let m(s) = 35*b(s) - 4*g(s). Let m(v) = 0. Calculate v.
-15, -1, 0
Let d be 1/(-4) - -232*21/2016. Let n(z) be the first derivative of d*z**3 + 7/10*z**5 + 15/8*z**4 + z**2 - 3 + 1/12*z**6 + 0*z. Let n(y) = 0. Calculate y.
-4, -1, 0
Suppose 5*x + 3*a = 77, 98 - 82 = 4*a. Let c(j) be the second derivative of 0*j**3 - 5/6*j**4 + 5/2*j**2 + 0*j**5 + x*j + 1/6*j**6 + 0. Factor c(n).
5*(n - 1)**2*(n + 1)**2
Determine w so that 0 + 463/3*w + 1/3*w**2 = 0.
-463, 0
Let x be -40 - (1179242/369)/(-73). Determine g so that 2/9*g**2 + 2/9*g**3 + 10/3 - x*g = 0.
-5, 1, 3
Let o(w) be the first derivative of -w**4/20 - 2*w**3 - 29*w**2/10 - 935. Factor o(g).
-g*(g + 1)*(g + 29)/5
Let n(j) = -3*j**3 - 2*j**2 + 12*j + 34. Let m be n(-3). Let q = 188/3 - m. Determine p so that q*p**3 - 5/3*p - 5/3*p**2 + 5/3 = 0.
-1, 1
Let 4/7*p**3 - 144/7*p**2 - 312/7 - 460/7*p = 0. Calculate p.
-2, -1, 39
Let 74529 + 1/4*z**2 + 273*z = 0. What is z?
-546
Let n(q) be the first derivative of 2*q**5/35 + 3*q**4/14 - 10*q**3 + 325*q**2/7 + 963. Factor n(j).
2*j*(j - 5)**2*(j + 13)/7
Find d, given that 12/5*d**2 + 0 + 0*d + 2/5*d**3 + 2/5*d**5 - 8/5*d**4 = 0.
-1, 0, 2, 3
Let a(p) be the second derivative of -24*p**2 + 1/5*p**6 - 68/3*p**3 + 0 - 189*p - 7/10*p**5 - 9*p**4. Find o such that a(o) = 0.
-2, -1, -2/3, 6
Let w(h) be the first derivative of 260 - 9*h**3 + 24*h - 6*h**2 + 0*h**2 + 2*h**2 - 5*h**2 + 10*h**3. Factor w(x).
3*(x - 4)*(x - 2)
Factor 6*d + 1/5*d**2 + 56/5.
(d + 2)*(d + 28)/5
Let s(n) = 3*n**2 - 231*n - 231. Let t be s(-1). Let -t*o**3 + 4/3*o**2 - 1/3*o**5 + 0*o + 0 + 2*o**4 = 0. What is o?
0, 1, 4
Let f be ((-444)/7)/(-12) + (-4)/14. Suppose f*i + 9*i = 42. Let 1/3*o**4 + 0*o**i + 0*o + 0*o**2 + 0 = 0. Calculate o.
0
Let c(l) be the second derivative of -9*l**5/5 - 835*l**4/3 + 124*l**3 + 1426*l. Factor c(m).
-4*m*(m + 93)*(9*m - 2)
Let a(r) be the first derivative of -4/3*r**3 - 1/5*r**4 + 12/25*r**5 + 115 + 8/5*r + 2/5*r**2. What is o in a(o) = 0?
-1, -2/3, 1
Let r(g) be the first derivative of -4*g**5/15 + g**4/2 + 86*g**3/3 - 488*g**2/3 + 312*g + 231. Let r(h) = 0. Calculate h.
-9, 2, 13/2
Let n be (-5)/(20/(-6))*4. Let d(s) = -44*s + 266. Let k be d(n). Suppose 4/3 + 14/3*r + 6*r**k + 2/3*r**4 + 10/3*r**3 = 0. What is r?
-2, -1
Suppose -s + 0*s - 3*f = -17, -f + 4 = 0. Let k(r) = -2*r**3 + 11*r**2 - 4*r - 3. Let t be k(s). Factor -3*p**4 + 4*p**4 + 3*p**2 - t*p**2 + 2*p**3.
p**2*(p + 1)**2
Let w = 2989 + 89. Suppose 3*q - 18783 - w = 0. Factor -10*r**3 - 5*r**4 + 7287 - q.
-5*r**3*(r + 2)
Let u(d) be the first derivative of d**4/24 + 19*d**3/6 - 89*d**2/6 + 20*d - 14979. Suppose u(y) = 0. What is y?
-60, 1, 2
Let u(c) be the first derivative of 11 + 7/6*c**3 - 10*c + 1/2*c**2 + 13/48*c**4. Let z(w) be the first derivative of u(w). What is f in z(f) = 0?
-2, -2/13
Find f, given that 72145*f**5 - 36078*f**5 - 36070*f**5 - 402*f**3 + 74*f**4 + 117*f - 700*f**2 + 338 = 0.
-1, 2/3, 13
Let p(d) be the second derivative of d**6/90 + 59*d**5/30 + 1307*d**4/12 + 12980*d**3/9 + 24200*d**2/3 + 3776*d. Find l, given that p(l) = 0.
-55, -4
Let f(b) be the third derivative of b**8/48 - 43*b**7/140 - 523*b**6/120 + 3117*b**5/40 + 459*b**4/8 + 5410*b**2. What is y in f(y) = 0?
-17/2, -2/7, 0, 9
Let d(t) = -47*t**2 + 2957*t - 3054. Let s(j) = 405*j**2 - 25430*j + 26265. Let a(b) = -155*d(b) - 18*s(b). Determine m so that a(m) = 0.
-120, 1
Factor 98/9*k**2 + 242/9 + 308/9*k.
2*(7*k + 11)**2/9
Let i(m) be the third derivative of -m**8/462 - 3*m**7/385 + 13*m**6/330 + 13*m**5/110 - 10*m**4/33 - 4*m**3/11 + 1387*m**2. Suppose i(o) = 0. What is o?
-3, -2, -1/4, 1, 2
Let a(d) be the third derivative of d**8/336 + d**7/10 - 61*d**6/60 + 17*d**5/5 - 13*d**4/3 - 1071*d**2. Suppose a(f) = 0. What is f?
-26, 0, 1, 2
Factor 334/5*f + 164/5*f**2 - 2/5*f**3 + 168/5.
-2*(f - 84)*(f + 1)**2/5
Suppose 16*v - 73 = -25. Factor -8/3*h**v + 2*h**2 - 2/3*h**4 + 0 + 12*h.
-2*h*(h - 2)*(h + 3)**2/3
Let y(c) be the second derivative of -c**6/15 + 3*c**5/5 + 2*c**4/3 - 18*c**3 + 45*c**2 - 2752*c. Let y(x) = 0. What is x?
-3, 1, 3, 5
Suppose -t - 6*k = -32, 3*t + 4*k + 253 = 293. Let g(u) be the first derivative of 3 + 4*u - t*u**2 - 20/3*u**3. Solve g(w) = 0.
-1, 1/5
Determine o so that 381/8*o**3 - 87/8*o**4 - 489/8*o**2 + 0 - 3/8*o**5 + 99/4*o = 0.
-33, 0, 1, 2
Let x = 329643/155 - 65910/31. Suppose x*l**4 + 24/5*l**3 + 0 + 0*l - 27/5*l**2 = 0. What is l?
-9, 0, 1
Let f be (62 + -10)*4/8. Let w be f/5 - (14 - 9). Let 16/5 + 8/5*n + w*n**2 = 0. What is n?
-4
Let k(v) = 8*v - 48. Let i be k(8). Let y be (-6)/i*50/(-25). Determine l so that 3/2 + 3/4*l - y*l**2 = 0.
-1, 2
Let j(v) be the third derivative of -2*v**2 + 0*v + 361/21*v**3 + 1/210*v**5 - 19/42*v**4 - 2. Let j(q) = 0. Calculate q.
19
Let b(q) = 8*q**4 + 6*q**3 - 104*q**2 - 149*q - 77. Let p(z) = 15*z**4 + 9*z**3 - 207*z**2 - 300*z - 153. Let i(r) = -9*b(r) + 5*p(r). Factor i(n).
3*(n - 8)*(n + 1)**2*(n + 3)
Let r = -4146 - -928705/224. Let s(q) be the third derivative of -1/28*q**7 - 3/80*q**6 + 0*q**4 + 0*q + 0 + 0*q**3 - r*q**8 + 17*q**2 + 9/40*q**5. Factor s(d).
-3*d**2*(d - 1)*(d + 3)**2/2
Let p be ((-9)/(-15))/((-9)/(-90)). Let a be p/(-2) - 837/(-135). Determine r, given that -16/5*r**5 + 0*r + a*r**3