55/12*c**4 - 1/84*c**7. Let t(l) = 0. What is l?
-11
Let y(j) be the first derivative of -j**5/20 - j**4/3 - 5*j**3/6 - j**2 + 15*j + 51. Let r(u) be the first derivative of y(u). Determine h so that r(h) = 0.
-2, -1
Let j(v) = 2*v**3 - 2*v**2 + 13*v - 26. Let q be j(-7). Let f = -898 - q. Factor -f*s + 3/7*s**4 - 15/7*s**3 + 27/7*s**2 + 6/7.
3*(s - 2)*(s - 1)**3/7
Suppose 0 + 4*s**4 + 32*s - 344/7*s**3 - 688/7*s**2 = 0. What is s?
-2, 0, 2/7, 14
Let a be 2/(-10) + (-17)/(1445/(-357)). Let b(t) be the second derivative of 1/4*t**5 + 0*t**2 - 10*t + 0 - 5/2*t**3 + 5/6*t**a. Factor b(z).
5*z*(z - 1)*(z + 3)
Let f(o) be the first derivative of -o**4/12 + 287*o**3/3 - 82369*o**2/2 + 23639903*o/3 - 1408. Factor f(c).
-(c - 287)**3/3
Suppose 583006 = 8*h + 582982. Factor -8/3*r + 4/3*r**2 - 16/3 + 2/3*r**h.
2*(r - 2)*(r + 2)**2/3
Suppose 0 = 2*b + 4 - 6. Let i(c) = 9*c**4 - 20*c**3 - 25*c**2 - 8*c. Let p(g) = g**4 - 2*g. Let d(y) = b*i(y) - 4*p(y). Factor d(m).
5*m**2*(m - 5)*(m + 1)
Let w = 531 - 519. Suppose -w = m - 3*m + 3*o, 0 = m - 2*o - 7. Determine h so that 0 + 4/5*h + 2/5*h**2 - 2/5*h**m = 0.
-1, 0, 2
Let r = 150766 - 753791/5. Find u such that r*u - 3/5*u**3 - 21/5 - 3*u**2 = 0.
-7, 1
Suppose -3 - 6 = -9*c. Let p(u) = -10*u**4 + 50*u**3 - 132*u**2 + 142*u - 62. Let n(d) = d**4 - d**3 + d + 1. Let k(t) = c*p(t) + 6*n(t). Factor k(r).
-4*(r - 7)*(r - 2)*(r - 1)**2
Let s(j) be the second derivative of -j**6/40 - j**5/20 + j**4/4 - 183*j**2/2 - 3*j - 2. Let h(a) be the first derivative of s(a). Solve h(c) = 0.
-2, 0, 1
Factor 1096 + 3832*v - 49/4*v**3 + 6685/2*v**2.
-(v - 274)*(7*v + 4)**2/4
Suppose 5*l - 38*d - 30 = -37*d, 0 = -2*l + 5*d + 35. Let v(u) be the second derivative of 0 - 1/3*u**3 - 1/6*u**4 + 2*u**2 - l*u. Factor v(w).
-2*(w - 1)*(w + 2)
Let j = -127 - -137. Suppose -5*t + j*t = 3*t. Let -9/7*i**3 + t + 3/7*i**4 - 3/7*i**2 + 9/7*i = 0. What is i?
-1, 0, 1, 3
Factor -36*a + 8*a + 488*a**4 - 958*a**4 - 74*a**2 + 88*a**3 + 484*a**4.
2*a*(a - 1)*(a + 7)*(7*a + 2)
Let q be -9 - (-156)/18 - (-64)/156. Let x(z) be the first derivative of -q*z**2 + 4/13*z - 12 - 2/39*z**3. Factor x(m).
-2*(m - 1)*(m + 2)/13
Let t(c) be the second derivative of -5*c**7/84 - 39*c**6/20 - 73*c**5/20 + 15*c**4/2 + 22*c**3/3 - 831*c. Solve t(f) = 0 for f.
-22, -2, -2/5, 0, 1
Factor 51 - 12*y**3 - 19*y - 7*y - 6*y + 124*y**2 - 131.
-4*(y - 10)*(y - 1)*(3*y + 2)
Suppose 19*k - 8*k - 33*k = 0. Let q(z) be the second derivative of 4/3*z**3 + 0 + 4*z + k*z**2 + 1/3*z**4. Solve q(w) = 0 for w.
-2, 0
Suppose 0 = -25*p + 69 + 31. Suppose -7*c - 20 = -6*c - p*x, -3*x + 15 = -c. Solve -1/2 + 1/2*s**2 + c*s**4 + 3/4*s - s**3 + 1/4*s**5 = 0.
-2, -1, 1
Let y(a) = 39*a**4 + 5*a**3 - 45*a**2 + 16*a - 9. Let j(c) = c**5 + c**3 - c**2 - 1. Let v(t) = 9*j(t) - y(t). Determine z so that v(z) = 0.
-1, 0, 2/3, 4
Let p(z) = -2*z**4 + z**3 - 3*z**2 + 2. Let l(m) = -m**4 + 371*m**3 + 360*m**2 + 4. Let t(f) = l(f) - 2*p(f). Factor t(c).
3*c**2*(c + 1)*(c + 122)
Let r(z) be the first derivative of z**3/8 + 105*z**2/4 - 423*z/8 + 146. Factor r(c).
3*(c - 1)*(c + 141)/8
Let q(m) be the second derivative of -28/5*m**2 - 1 - 1/2*m**5 - 83/15*m**3 + 92*m + 1/75*m**6 - 27/10*m**4. Suppose q(s) = 0. Calculate s.
-1, 28
Let o be 96/(-216)*(8 - 75/6). What is f in 4/3*f**o + 0 - 1/3*f**3 - 4/3*f**4 + 1/3*f = 0?
-1, -1/4, 0, 1
Factor 152/3*u + 1/12*u**4 - 224/3 - 10*u**2 + 1/6*u**3.
(u - 4)**3*(u + 14)/12
Let f = 18841538/25907145 + 2/2355195. Suppose -6/11*s**3 + 0 - f*s**2 + 0*s + 2/11*s**4 = 0. Calculate s.
-1, 0, 4
Let r = 13/829 + 1385/17409. Suppose 0 + 0*v + 2/21*v**2 + 0*v**3 - r*v**4 = 0. Calculate v.
-1, 0, 1
Let x(b) = -62*b**3 - 92*b**2 + 326*b - 220. Let r(q) = -43*q**3 - 93*q**2 + 324*q - 220. Let y(a) = 3*r(a) - 2*x(a). Factor y(i).
-5*(i - 2)*(i - 1)*(i + 22)
Factor -265*j + 8*j**2 + 3*j**3 - 8*j**4 - j**3 + 263*j.
-2*j*(j - 1)*(j + 1)*(4*j - 1)
Let c be (35 + -8)*5/15. Suppose -79*p**2 - 17 - c - p**4 - 74 - 165*p - 15*p**3 = 0. What is p?
-5, -4, -1
Let s = -11586 + 11588. Let i(x) be the second derivative of -18*x - x**s - 1/48*x**4 + 0 - 1/4*x**3. Factor i(f).
-(f + 2)*(f + 4)/4
Let x be (3 + -4)/((-4)/16). Determine p so that -15*p - 9 + 9 + 12*p**3 + 3*p**5 + 147*p**4 - 129*p**x - 18*p**2 = 0.
-5, -1, 0, 1
Let t(w) be the second derivative of 2*w**7/21 + 4*w**6/5 + 8*w**5/5 - 2*w**4 - 6*w**3 - 3350*w. Solve t(o) = 0.
-3, -1, 0, 1
Let x be ((-12)/(-18))/((-8)/6)*-6. Suppose 8 = 7*a - x*a. Factor 1762*z - 4*z**3 - 15*z**4 - 5*z**3 + 6*z**a - 1762*z.
-3*z**2*(z + 1)*(5*z - 2)
Factor 180 + 2/3*z**4 + 198*z + 38/3*z**3 + 78*z**2.
2*(z + 3)**3*(z + 10)/3
Let v be -2*(2 - 2/((-4)/(-5))). Suppose 0 = -2*w - 2*u - 6, 2*u + v = 2*w - 5. Factor -4/5*i**2 + 2/5 + 0*i**3 + 2/5*i**4 + w*i.
2*(i - 1)**2*(i + 1)**2/5
Suppose -2*m - 3*k - 27 = -108, 4*m - 2*k = 138. Suppose 0 = 5*r - 3*i - 8, 5*i = 2*r - 6*r + m. Factor 0*p - 10/21*p**r + 0 + 4/21*p**2 - 2/7*p**3.
-2*p**2*(p + 1)*(5*p - 2)/21
Suppose -78*p**2 + 4*p**3 - p**3 + 49 + 644*p - 49 - 5*p**3 = 0. What is p?
-46, 0, 7
Let a = -278937 + 278939. Factor -4/5*r + 0 - 18/5*r**a - 14/5*r**3.
-2*r*(r + 1)*(7*r + 2)/5
Suppose 5/4*a**2 - 50 - 15/4*a = 0. Calculate a.
-5, 8
Suppose 2 = -t + 2*u, 3*t - 21*u - 481 = -517. Factor -11 - 1/4*y**t + 6*y.
-(y - 22)*(y - 2)/4
Let y be (3 - -5) + 66/(-6). Let j be -9 + 15/3 - (-1 + y). Let -3/4*a**2 + j - 3/8*a**3 + 9/8*a = 0. Calculate a.
-3, 0, 1
Suppose p + 4*n = 139, 3*p = 5*p + 5*n - 266. Factor -p*d + 336*d**2 - 44*d**3 - 91*d**3 + 51 - 57 - 72*d**2.
-3*(d - 1)**2*(45*d + 2)
Let g(k) = k**3 - 14*k**2 - 56*k - 116. Let f be g(18). Suppose 145*b = f*b. Factor -10/3*d**3 + 2/3*d**5 + 0*d + b + 2*d**2 + 2/3*d**4.
2*d**2*(d - 1)**2*(d + 3)/3
Let g = 36 - 39. Let l be 20/(-50)*g/2. Factor 6/5 - 21/5*i**5 - 48/5*i**2 - 102/5*i**3 + l*i - 78/5*i**4.
-3*(i + 1)**4*(7*i - 2)/5
Suppose 3*h + 2*h = 0. Suppose -n - 2*n + 15 = h. Let -5*o**4 + 4*o**4 - 2*o**4 - 2*o**4 - n*o**3 = 0. What is o?
-1, 0
Let w(l) be the first derivative of -l**3/12 - 65*l**2/2 - 4225*l - 1235. Suppose w(d) = 0. Calculate d.
-130
Let -1/2*x**2 - 143/2 + 12*x = 0. Calculate x.
11, 13
Let k = -65 + -189. Let s = 254 + k. What is b in 0*b**2 + s + 0*b + 4/7*b**3 - 4/7*b**4 + 1/7*b**5 = 0?
0, 2
Solve 4320 - 672*c + 82/3*c**2 - 1/3*c**3 = 0 for c.
10, 36
Let o(p) be the second derivative of p**5/15 - 11*p**4/6 - 27*p**2 + 2*p - 25. Let v(k) be the first derivative of o(k). Factor v(u).
4*u*(u - 11)
Factor -44/9*m + 2/9*m**2 + 0.
2*m*(m - 22)/9
Let m(u) be the first derivative of 2*u**3/33 + 4*u**2 - 110*u - 2814. Factor m(c).
2*(c - 11)*(c + 55)/11
Let k be 14 + (1 - 6) + 8/(-2). Let q(x) be the second derivative of 0*x**2 + 1/45*x**6 + 0*x**3 + k*x + 0*x**5 + 0 + 0*x**4. Let q(a) = 0. What is a?
0
Let t(m) = 8*m**2 + 676*m + 1960. Let j(x) = x**2 + 41*x. Let l(n) = -10*j(n) + t(n). Factor l(i).
-2*(i - 140)*(i + 7)
Let x(d) be the second derivative of 81*d**6/10 + 1404*d**5 + 67078*d**4 - 60320*d**3 + 20184*d**2 + d - 595. Suppose x(w) = 0. Calculate w.
-58, 2/9
Let r(v) be the third derivative of 0*v - 1/75*v**5 - 2*v**2 - 1/5*v**3 + 20 - 1/200*v**6 + 13/120*v**4. Let r(b) = 0. Calculate b.
-3, 2/3, 1
Let r be 36966/183 + -194 + ((-19)/3 - 1). Suppose l**3 + 0 - 1/3*l - r*l**2 = 0. What is l?
-1/3, 0, 1
Let q = -300 - -304. Factor -15 + 8*z**5 - 76*z - 10*z**3 - 4*z**q - 9*z**3 + 10 - 124*z**2 - 11 - 57*z**3.
4*(z - 4)*(z + 1)**3*(2*z + 1)
Let b be 3 - (-2)/(-3)*-3. Suppose b*f = -5*v, -f + 35 = 4*v - 4*f. Factor v*a**4 - 5*a + 14*a**3 - 4*a**3 + 5*a.
5*a**3*(a + 2)
Let x(o) be the third derivative of -4/3*o**4 + 0 - 1/3*o**5 + 0*o - 8/3*o**3 - 92*o**2 - 1/30*o**6. Factor x(l).
-4*(l + 1)*(l + 2)**2
Let k = -33279/65 - -512. Let p = 188/455 + k. Determine m, given that 3*m + 0 - p*m**2 = 0.
0, 7
Suppose 222 - 544 = 38*r - 229 - 169. Factor 2/5*u**r - 10 + 0*u.
2*(u - 5)*(u + 5)/5
Let t be (-46 + 549/12)*(1 - 10). Solve -39/4*k + t*k**2 + 3 = 0 for k.
1/3, 4
Let o(s) be the first derivative of 5*s**4/4 - 605*s**3/3 + 1195*s**2/2 - 595*s - 766. Solve o(i) = 0.
1, 119
Let v(a) = 6*a**2 + 146*a - 97. Let s be v(-25). Suppose 60*y = s*y. What is o in -1/2*o**2 + 1/4 + 0*o + 1/4*o**4 + y*o**3 = 0?
-1, 1
Factor 2/9*d**4 + 292*d**2 + 5