 the first derivative of w**6/3 - 44*w**5/15 + 43*w**4/6 - 8*w**3/3 - 2589. What is v in f(v) = 0?
0, 1/3, 3, 4
Let g = -970 + 977. Let s be (52 + -7)/5 - g. Solve -14/5*o + 16/15*o**s + 12/5 - 2/15*o**3 = 0.
2, 3
What is z in -225*z**4 - 65*z**2 - 10*z**5 + 3200*z - 983 - 395*z - 227 - 1295*z**3 = 0?
-11, -2, 1/2, 1
Let d be (-18)/18 + 30/3. Suppose -5*m + 15 = 5*x, d + 10 = 5*m + x. Suppose 0 - 1/8*t**3 + 0*t**2 - 3/8*t**m + 0*t = 0. What is t?
-1/3, 0
Let y = 29859/11011 + 4/1573. Solve -1/7*l + 0 + y*l**2 = 0 for l.
0, 1/19
Let w(c) be the second derivative of -75*c**2 - 23/2*c**3 + 1/4*c**4 - 4*c + 41. Factor w(i).
3*(i - 25)*(i + 2)
Let u = 3442037/5116890 - -49/7258. Let o = -3/235 + u. Factor 0 + o*r**2 - 2/3*r**4 + 0*r + r**3.
-r**2*(r - 2)*(2*r + 1)/3
Let k(n) be the second derivative of -5*n**4/24 - 1025*n**3/2 + 6155*n**2/4 - 514*n. Suppose k(s) = 0. What is s?
-1231, 1
Let -1/4*p**2 - 29/2*p + 1/4*p**3 + 28 = 0. What is p?
-8, 2, 7
Let j(p) be the first derivative of 5*p**3/6 + 550*p**2 + 121000*p + 728. Solve j(k) = 0 for k.
-220
Suppose -4 = s - 100. Let x = s - 96. Factor 5/4*a**3 + 1/2*a**2 + 0 + x*a.
a**2*(5*a + 2)/4
Let x(c) be the first derivative of -37/2*c**2 - 1/3*c**3 + 0*c - 59. Factor x(t).
-t*(t + 37)
Let l(z) be the second derivative of -z**4/36 - 8*z**3/9 - 13*z**2/2 - 1060*z. Find v, given that l(v) = 0.
-13, -3
Let y(n) be the second derivative of 1/70*n**5 - 3/7*n**3 + 0 - 1/42*n**4 + 9/7*n**2 + 21*n. Factor y(u).
2*(u - 3)*(u - 1)*(u + 3)/7
Let u be (-62)/(-14) - (35/(455/26) + -7). Factor 3/7*s**2 + u*s + 363/7.
3*(s + 11)**2/7
Let n(i) be the first derivative of -i**7/2520 - i**6/135 + 11*i**5/90 - 2*i**4/3 - 263*i**3/3 - 35. Let k(t) be the third derivative of n(t). Factor k(h).
-(h - 2)**2*(h + 12)/3
Let h be 0 - 1 - (-5787)/(-144)*6. Let u = 243 + h. Factor -1/4 - 1/2*d**3 + u*d + 5/8*d**2.
-(d - 2)*(d + 1)*(4*d - 1)/8
Suppose -2*f + 2*n = 2*f - 58, -f + 7 = 2*n. Suppose 14*z**2 + 2 - f*z**2 + 1 + 4*z = 0. Calculate z.
-3, -1
Let w(h) be the first derivative of -h**4/8 - 3*h**3/4 - 39*h + 126. Let k(c) be the first derivative of w(c). What is g in k(g) = 0?
-3, 0
Let c(t) be the third derivative of t**7/135 - 23*t**6/540 - 11*t**5/135 + 2*t**4/27 - 2823*t**2. Let c(y) = 0. Calculate y.
-1, 0, 2/7, 4
Let y(h) = 10*h**2 - 118*h + 768. Let z(m) = 76*m**2 - 827*m + 5376. Let b(t) = -30*y(t) + 4*z(t). Determine g, given that b(g) = 0.
-64, 6
Let g(f) = -3*f**5 - 48*f**4 - 135*f**3 - 78*f**2 + 138*f + 102. Let o(s) = s**4 + s**3 - s + 3. Let k(t) = g(t) + 6*o(t). Let k(l) = 0. Calculate l.
-10, -2, -1, 1
Let u(o) be the second derivative of 5*o**4/48 + 655*o**3/24 - 165*o**2/2 + 2*o + 84. Factor u(t).
5*(t - 1)*(t + 132)/4
Let x(z) be the second derivative of -z**4/6 + 4*z**3/3 + 77*z**2 - 327*z. Factor x(j).
-2*(j - 11)*(j + 7)
Let -3/4*p**2 - 3843/2*p - 4922883/4 = 0. Calculate p.
-1281
Let k be -7 - ((-2)/(-39) + (-1127800)/13650). Let 47/7*j**2 + k + 575/7*j + 1/7*j**3 = 0. What is j?
-23, -1
Let b(c) be the first derivative of -3/26*c**4 - 1/39*c**6 + 0*c - 8/39*c**3 + 8/65*c**5 - 192 + 4/13*c**2. Find u such that b(u) = 0.
-1, 0, 1, 2
Let v(f) = 13*f**2 - 191*f - 1432. Let m(r) = 9*r**2 - 3*r - 1. Let w(b) = 2*m(b) - v(b). Factor w(z).
5*(z + 11)*(z + 26)
Let m(u) be the first derivative of -5*u**3 - 25*u - 5/4*u**4 + 45/2*u**2 - 98. Factor m(i).
-5*(i - 1)**2*(i + 5)
Suppose -4 = -2*y + o, 4*o - 6 = 2*y - 10. Solve -19*r**2 - 18*r**y - 3*r**3 - 10*r - 2*r**3 + 33*r**2 - 11*r**2 = 0 for r.
-2, -1, 0
Let n(j) = 15*j**3 - 400*j**2 + 10*j - 20. Let m(u) = -2*u**3 - u + 2. Let i(k) = -10*m(k) - n(k). Solve i(o) = 0.
-80, 0
Let f be (((-80)/12)/(-4))/(195/702). Let x(a) be the third derivative of 1/48*a**f - 1/84*a**7 + 0*a**4 + 0 + 0*a**3 + 0*a**5 + 22*a**2 + 0*a. Factor x(m).
-5*m**3*(m - 1)/2
Let g(t) be the first derivative of 28 + 3/8*t**4 - 3*t - 3/4*t**2 + t**3. Determine j so that g(j) = 0.
-2, -1, 1
Let a(r) be the third derivative of r**8/560 + 17*r**7/350 - r**6/200 - 17*r**5/100 - r**2 + 390. Solve a(k) = 0.
-17, -1, 0, 1
Let c(h) be the first derivative of 4*h**3/3 + 142*h**2 + 4992*h + 6325. Solve c(a) = 0 for a.
-39, -32
Let k(b) be the third derivative of -b**7/1260 - b**6/60 - 2*b**5/15 - 95*b**4/24 - 4*b**2 - b. Let y(a) be the second derivative of k(a). Factor y(n).
-2*(n + 2)*(n + 4)
Let z(n) be the third derivative of n**6/180 + 67*n**5/90 - 445*n**4/36 - 511*n**3/9 - 110*n**2 - 36*n. Find y such that z(y) = 0.
-73, -1, 7
Let o be 2/(-3) + 20930/4485. Factor -2*m + 1/2*m**2 + 2*m**3 - 1/2*m**o + 0.
-m*(m - 4)*(m - 1)*(m + 1)/2
Let n(i) be the first derivative of -i**5/50 - i**4/5 - 8*i**3/15 + 286*i - 135. Let v(u) be the first derivative of n(u). Determine x so that v(x) = 0.
-4, -2, 0
Let s be (((-2)/15)/(83/830))/(17/(-204)*8). Factor 3*o**3 + 25/2*o + 0 + 1/2*o**5 - 20*o**s + 4*o**4.
o*(o - 1)**2*(o + 5)**2/2
Let a(k) = -411*k**4 + 2892*k**3 + 1428*k**2 + 69*k. Let b(f) = -12*f**4 + 85*f**3 + 42*f**2 + 2*f. Let v(j) = -2*a(j) + 69*b(j). Suppose v(o) = 0. Calculate o.
-1/2, 0, 14
Let y be (-53888)/(-20208)*((-2)/(-6) + 87/(-342)). Factor 2/19*n**2 + y*n + 2/19.
2*(n + 1)**2/19
Let t = -475 + 671. Let j = -194 + t. Factor -3/2*m + 9/4*m**3 - 3/4*m**j + 0.
3*m*(m - 1)*(3*m + 2)/4
Let y(t) = -3*t**4 + 2*t**3 + t**2 + 2. Let i(p) = 52*p**4 - 1612*p**3 - 2832*p**2 - 812*p + 380. Let g(m) = -i(m) - 12*y(m). Suppose g(k) = 0. Calculate k.
-1, 1/4, 101
Factor -1/3*r**4 + 2604*r - 124/3*r**3 - 1323 - 3718/3*r**2.
-(r - 1)**2*(r + 63)**2/3
Let v be -138 + ((-21)/(-3) - 1). Let y = -525/4 - v. Factor y*c**4 + 9/2*c**2 + 3*c + 3*c**3 + 3/4.
3*(c + 1)**4/4
Factor 2*x**2 + 33946 + 7*x**2 - 812*x + 179*x - 33736.
3*(x - 70)*(3*x - 1)
Let d(y) be the first derivative of -3*y**5/5 - 1395*y**4/4 + 466*y**3 + 6276. Factor d(p).
-3*p**2*(p - 1)*(p + 466)
Let c = -807946/3 + 269316. Factor -8/3*k - 2 - c*k**2.
-2*(k + 1)*(k + 3)/3
Let l(x) be the second derivative of x**4/90 - 44*x**3/45 + 259*x**2/15 - 923*x + 1. Determine p, given that l(p) = 0.
7, 37
Suppose 5*u = k + 892, 0 = k + 1 + 1. Suppose 181*b - 6 = u*b. Factor -3*t**3 - 4*t**b + 13 - 10 - 9 + 2*t**2 + 19*t.
-(t - 2)*(t + 3)*(3*t - 1)
Let k be 7*(-6 + (6 - -5)). Factor k*x**2 + 13*x**2 - 5*x**3 + 19 - 63*x**2 + 1.
-5*(x - 1)*(x + 2)**2
Let w(h) = -28*h**2 - 253*h + 242. Let j(v) = 9*v**2 + 4*v. Let o(k) = 3*j(k) + w(k). Find u, given that o(u) = 0.
-242, 1
Suppose -20*b**5 + 31504*b**2 + 135424/5 - 850016/5*b**3 + 538752/5*b + 3684*b**4 = 0. What is b?
-2/5, 1, 92
Let v(n) be the second derivative of n**7/42 - n**6/4 - 2*n**5/3 + 5*n**4/4 + 35*n**3/6 - 45*n**2 - 88*n. Let a(s) be the first derivative of v(s). Factor a(f).
5*(f - 7)*(f - 1)*(f + 1)**2
Let b = -25/12737 - -12812/38211. Factor -b*w**4 + 4/3*w**3 + 16/3 - 16/3*w + 0*w**2.
-(w - 2)**3*(w + 2)/3
Let 0 + 2/5*k**4 + 0*k - 72/5*k**2 + 18/5*k**3 = 0. What is k?
-12, 0, 3
Let m(l) be the second derivative of l**4/3 + 7112*l**3/3 + 6322568*l**2 + 4*l - 1119. Let m(g) = 0. What is g?
-1778
Let t = 183218 + -183213. Factor 0*x - 17/5*x**4 + 12/5*x**2 - x**t - 8/5*x**3 + 0.
-x**2*(x + 2)**2*(5*x - 3)/5
Let i be 99/(-24)*1048/(-12). Let j = i - 360. Suppose 1/2 - j*v - 1/4*v**2 = 0. Calculate v.
-2, 1
Let z(n) be the first derivative of n**6/21 + 2*n**5/7 - 3*n**4/7 - 1548. Let z(r) = 0. What is r?
-6, 0, 1
Let 19950*b - 26450*b**2 + 10500*b**3 + 5*b**5 + 5675*b - 8405 - 850*b**3 - 425*b**4 = 0. Calculate b.
1, 41
Let h(g) = g**3 + 21*g**2 + 37*g - 17. Let b be h(-19). Let 81*q**b - 5 - 3 + 72*q + 20 = 0. What is q?
-2/3, -2/9
Let b = -3068 + 3074. Let r(u) be the second derivative of 0*u**2 + 0*u**3 - 1/20*u**5 - 1/30*u**b + 1/6*u**4 + 16*u + 0. Factor r(p).
-p**2*(p - 1)*(p + 2)
Suppose 48*d - 45*d - 1166 = 4*u, -4*d + 5*u = -1554. Let c = 388 - d. Suppose 0*f - 1/9*f**c + 2/3*f**4 + 0 - 5/9*f**3 = 0. Calculate f.
-1/6, 0, 1
Let r(x) be the third derivative of -x**5/60 - 491*x**4/6 - 482162*x**3/3 - 2008*x**2. Let r(m) = 0. What is m?
-982
Let b(u) = 6*u**3 - 697*u**2 - 582*u - 255. Let a be b(117). Solve -8*l**2 - a*l**3 + 2/3 + 16/3*l = 0.
-1/6, 1/4
Let s = 1141/492 + -189/164. Find g, given that 4/3*g - 1/6*g**2 - s = 0.
1, 7
Let t be 2*(-1 - 2) + 1 - 284. Let a = t + 1517/5. Factor 2/5