 - 9615*j**3 + 42*j**4 + 324*j**4 + 17675*j - 61567*j**2 - 202800 - 11*j**5 - 264935*j - 32081*j**2 = 0. What is j?
-4, -2, 65
Let q be (4424/(-42) + 103)*26/(-7). Factor -2/3*g**2 + 0 - q*g.
-2*g*(g + 13)/3
Let b(x) be the first derivative of -x**6/24 + x**5/20 + 33*x**4/16 + 21*x**3/4 - 1801. Factor b(i).
-i**2*(i - 7)*(i + 3)**2/4
Let l be (-273)/294*(-4)/26. Factor -16/7*n**2 - 14 + l*n**3 + 11*n.
(n - 7)**2*(n - 2)/7
Factor -1/2*p**3 + 183*p**2 - 367 + 369/2*p.
-(p - 367)*(p - 1)*(p + 2)/2
Suppose -2*c + 56496 = -46*c. Let i = c - -14132/11. Solve 2/11*j**2 - i*j - 2/11 + 8/11*j**3 = 0 for j.
-1, -1/4, 1
Factor -p**2 + 0*p + 0 + 85/12*p**3 + 11/6*p**4.
p**2*(p + 4)*(22*p - 3)/12
Let u(b) be the third derivative of 3*b - 3/100*b**6 + 0*b**3 + 3/25*b**5 - 1/5*b**4 + 9*b**2 + 0 + 1/350*b**7. Let u(l) = 0. Calculate l.
0, 2
Suppose -518/9 - 172/3*k + 2/9*k**2 = 0. What is k?
-1, 259
Let x be (-2)/(-4)*(13 - -7). Let r be 8/x*(-515)/(-309). Factor 2/3*j**3 + 16/3 - 8/3*j - r*j**2.
2*(j - 2)**2*(j + 2)/3
Let g = 1139690 + -14815942/13. Solve 2/13*h**2 - g*h - 64/13 = 0 for h.
-2, 16
Suppose -4*j + o + 93 = 0, 2*j - 3*o - 63 = -24. Determine d so that 13 - 11 - 12 - 17 + 3*d**2 + j*d = 0.
-9, 1
Let z(l) be the third derivative of -l**5/30 + 245*l**4/12 + 82*l**3 + 1244*l**2 + 2*l. Factor z(v).
-2*(v - 246)*(v + 1)
Let v be (-1232)/(-532) - 564/1786. Suppose 3/4*h - 9/4*h**v + 3/4*h**4 + 3/2 - 3/4*h**3 = 0. Calculate h.
-1, 1, 2
Let b(c) be the third derivative of c**6/72 - 5*c**5/12 + 125*c**4/24 + 19*c**3/3 + 21*c**2. Let a(y) be the first derivative of b(y). Solve a(l) = 0 for l.
5
Let w = -34 - -36. Suppose 6*r + 3 - 3 - 36*r**2 - 3*r**3 + 39*r**w = 0. What is r?
-1, 0, 2
Let l(g) = -g**3 + 2*g**2 + g + 12. Let q be l(0). Suppose -3*c = -q, c = -5*w + 2*c + 11. What is t in 68 + 3*t**2 - 20 + 27*t - w*t = 0?
-4
Let d(z) = 59*z + 535. Let b be d(-9). Suppose -2/7*n**b - 2/7*n**3 + 2/7*n + 2/7*n**2 + 0 = 0. What is n?
-1, 0, 1
Let q(j) be the second derivative of -j**4/6 + 11*j**3/3 + j**2 - 4*j. Let k be q(11). What is i in -5*i + 0*i**k - i**2 - 3 - 4*i**2 + 13 = 0?
-2, 1
Let n(s) be the first derivative of -1 + 32/21*s**3 + 0*s + 15/7*s**2 + 1/14*s**4. Factor n(p).
2*p*(p + 1)*(p + 15)/7
Factor 197/3*p - 56/3 - 7/6*p**2.
-(p - 56)*(7*p - 2)/6
Let z(j) = -j**3 - 3*j**2 - 5*j + 1. Let r(m) = 9*m**3 - 179*m**2 + 429*m - 203. Let t(n) = 2*r(n) + 14*z(n). Factor t(a).
4*(a - 98)*(a - 1)**2
Let 5/4*s**2 + 7601445 + 6165*s = 0. What is s?
-2466
Let t(i) = -i**3 + 2*i**2 + 3*i - 4. Let f be t(2). Suppose n - 4 = -f. Factor 27*g**2 - 2*g**n - 5*g**3 - 20 - 10*g**2.
-5*(g - 2)**2*(g + 1)
Let b be 41 + (-4 - (-8)/(-8)). Suppose -273*o = -255*o - b. Factor -32*i - 8*i**o + 0 - 1/2*i**3.
-i*(i + 8)**2/2
Let f(c) be the second derivative of -c**7/7 - 53*c**6/15 - 373*c**5/30 - 197*c**4/18 - 10*c**3/3 + 150*c + 28. Find a, given that f(a) = 0.
-15, -2, -1/3, 0
Find f such that -506/3*f**2 - 250/3*f**3 - 350/3*f - 24 - 22/3*f**4 = 0.
-9, -1, -4/11
Let f(h) be the third derivative of h**6/1260 - 31*h**5/105 + 41*h**4/28 - 184*h**3/63 - 1127*h**2. What is n in f(n) = 0?
1, 184
Let f = 3985/18 + -27607/126. Let -f - 16/7*h - 4/7*h**2 = 0. Calculate h.
-2
Let h(t) be the second derivative of -89*t**4/12 - 49*t**3/2 - 29*t**2 - 2548*t + 2. Solve h(n) = 0.
-1, -58/89
Let i(p) be the first derivative of -2*p**3/21 + 40*p**2/7 - 152*p/7 + 441. Factor i(w).
-2*(w - 38)*(w - 2)/7
Let c = -256 - -258. Factor -2*j**4 + 8*j**c - 6 - 250*j**3 + 497*j**3 - 251*j**3 + 4*j.
-2*(j - 1)**2*(j + 1)*(j + 3)
Suppose 26427/7*d**2 - 20592*d - 78*d**3 + 209088/7 + 3/7*d**4 = 0. What is d?
3, 88
Factor 47/5*w**2 + 33*w - 20691/5 - 1/5*w**3.
-(w - 33)**2*(w + 19)/5
Let r = -537 - -541. Determine n so that -20 + 11*n + 20*n**2 - 5*n**3 + n + r*n + n - 12*n = 0.
-1, 1, 4
Let p be 1 + (2/1 - 0). Let n be (12 + 6)*2/12. Factor 2 - 5*w**3 + 2*w**p + 2 + 7*w**n + 12*w**2 + 12*w.
4*(w + 1)**3
Let v(t) be the third derivative of t**8/1680 - 2*t**7/175 + t**6/12 - 22*t**5/75 + 23*t**4/40 - 2*t**3/3 - 1272*t**2 + t. Factor v(p).
(p - 5)*(p - 4)*(p - 1)**3/5
Let f be 24/((-3600)/(-555)) - (-880)/(-275). Let -11 - f*m + 1/2*m**3 + 11*m**2 = 0. Calculate m.
-22, -1, 1
Suppose 2*i - 3*a + 119 = -0*i, -4*i - 250 = -2*a. Let u = 67 + i. Suppose 0*b - 3*b**2 + 3/2*b**4 + 0*b**u + 3/2 = 0. Calculate b.
-1, 1
Let m(n) be the third derivative of 0 + 62*n**2 + 1/150*n**5 - 1/60*n**4 + 0*n + 0*n**3. Let m(h) = 0. Calculate h.
0, 1
Factor 3510/11*i + 27702/11 + 2/11*i**3 + 146/11*i**2.
2*(i + 19)*(i + 27)**2/11
Let s(d) be the first derivative of 3*d**4/4 + 12*d**3 - 54*d**2 - 336*d - 454. What is y in s(y) = 0?
-14, -2, 4
Let q(c) = c**2 + 2656*c + 1750329. Let r(l) = -l**2 - 2654*l - 1750329. Let t(p) = 4*q(p) + 5*r(p). Factor t(d).
-(d + 1323)**2
Let g(y) be the third derivative of -y**7/315 - 1331*y**6/180 + 1333*y**5/30 - 4001*y**4/36 + 1334*y**3/9 + 905*y**2. Let g(c) = 0. What is c?
-1334, 1
Factor -596/9 + 1/9*m**3 - 145/9*m**2 - 592/9*m.
(m - 149)*(m + 2)**2/9
Let i = -1951 - -42923/22. Let k(s) be the first derivative of 2/11*s**3 + 17 - 2/11*s**2 + 0*s - i*s**4. Factor k(n).
-2*n*(n - 2)*(n - 1)/11
Let o(v) = 17*v**3 - 37*v**2 + 12*v + 3. Let y be 9*(0 + 3 - 190/57). Let m(w) = 18*w**3 - 38*w**2 + 13*w + 2. Let c(k) = y*m(k) + 2*o(k). Factor c(r).
-5*r*(2*r - 3)*(2*r - 1)
Let o(a) be the third derivative of 0*a + 0 + 1/40*a**5 + 13*a**2 + 0*a**3 - 3/8*a**4. Factor o(x).
3*x*(x - 6)/2
Suppose -50784 - 178112*g - 7/3*g**3 - 3866/3*g**2 = 0. What is g?
-276, -2/7
Let t(r) be the second derivative of -r**6/120 - 17*r**5/80 + 19*r**4/6 - 31*r**3/2 + 36*r**2 - 4878*r + 2. Factor t(y).
-(y - 3)*(y - 2)**2*(y + 24)/4
Let d be (1 - 134/70)*(-4970)/3976. Let d*q**3 + 12/7*q**2 + 0*q + 0 = 0. What is q?
-3/2, 0
Suppose -146/3*o - 2/9*o**4 - 866/9*o**2 + 146/3*o**3 + 868/9 = 0. What is o?
-1, 1, 2, 217
Let q(l) be the third derivative of -l**5/120 - 5*l**4/6 - 37*l**3/4 + 2821*l**2 + 2*l. Let q(r) = 0. What is r?
-37, -3
What is x in -11*x - 119*x**5 + 241*x**5 + 10*x**4 - 78*x**3 - 144 + 247*x - 26*x**2 - 120*x**5 = 0?
-9, -2, 1, 4
Let i(b) = b**4 - 26*b**3 + 133*b**2 - 114*b. Let j(m) = -5*m**4 + 105*m**3 - 530*m**2 + 455*m. Let r(z) = 25*i(z) + 6*j(z). Determine d, given that r(d) = 0.
-8, 0, 1, 3
Suppose 131 = 5*g - 2*j + 92, -3*j + 36 = 3*g. Factor 3/2*m**4 - g*m**2 + 0*m + 15/2*m**3 + 0.
3*m**2*(m - 1)*(m + 6)/2
Let c(a) be the third derivative of 6*a**7/245 + 241*a**6/42 + 40267*a**5/105 - 4489*a**4/42 - 1350*a**2 - a - 2. Factor c(x).
4*x*(x + 67)**2*(9*x - 1)/7
Let x(t) = -3*t**2 - 6*t + 3. Let g(m) = 3*m - 4*m**2 + 0*m - 2 - m + 5*m**2. Let f(j) = 7*g(j) + 2*x(j). Find w such that f(w) = 0.
-4, 2
Let l(d) be the first derivative of 9*d**5/20 - 231*d**4/16 + 229*d**3/2 - 102*d**2 - 3940. Let l(q) = 0. What is q?
0, 2/3, 8, 17
Let r(t) be the third derivative of -3*t + 3*t**2 + 0 - 14/3*t**4 + 1/15*t**5 + 392/3*t**3. Factor r(n).
4*(n - 14)**2
Let g(w) be the third derivative of -37*w**6/240 - 46*w**5/15 - 313*w**4/48 + 3*w**3/2 - 577*w**2. Determine j so that g(j) = 0.
-9, -1, 2/37
Let k = -34079/7 - -4870. Let o(p) be the first derivative of 11 - 36/7*p**2 - k*p**3 + 108/7*p - 3/28*p**4. Suppose o(s) = 0. Calculate s.
-6, 1
Let k(a) = 2*a**2 + 3328*a - 23234. Let q be k(7). Let -4/3*z**3 - 4800*z + 0 + q*z**2 = 0. What is z?
0, 60
Let t be (-5 - (-88)/(-48))*-178. Let f = t - 1216. Determine k, given that 5/3*k + f*k**2 + 2 = 0.
-3, -2
Find g such that 60/19 - 6/19*g**2 + 86/19*g + 2/19*g**4 - 30/19*g**3 = 0.
-1, 2, 15
Factor -d**2 + 0 - 4*d**3 + 7*d**2 + 397*d - 1 - 2*d**4 - 389*d - 7.
-2*(d - 1)**2*(d + 2)**2
Let c(p) be the first derivative of -p**4/20 - 44*p**3/15 - 43*p**2/10 - 4689. Factor c(l).
-l*(l + 1)*(l + 43)/5
Factor -4023*b**3 - 2530*b**3 + 985*b**3 + 4*b**5 - 83290*b**2 - 11174*b**2 + 28*b**4.
4*b**2*(b - 41)*(b + 24)**2
Suppose -8*n = 21 - 37. Suppose -51*r**2 + n*r**3 + 27*r**2 + 30*r**2 + 4*r = 0. What is r?
-2, -1, 0
Let q(d) be the first derivative of 7*d**6/180 - 4*d**5/5 + 5*d**4/9 + 12*d**2 - 127. Let x(u) be the second derivative of q(u). Let x(k) = 0. Calculate k.
0, 2/7, 10
Let 1520/7*h + 1126/7*h**2 + 312/7 - 40/7*h**4 + 142/7*h**3 = 0. What is h?
-2, -1/4, 39/5
Let