nd i, given that g(i) = 0.
-2
Let i = -110744 - -221521/2. Suppose -121/6 + 7/2*y**2 + 1/6*y**3 + i*y = 0. Calculate y.
-11, 1
Let y(i) be the second derivative of -7*i + 23/9*i**3 + 1 + 1/36*i**4 + 529/6*i**2. Find x, given that y(x) = 0.
-23
Let c(a) = 2*a**3 - 34*a**2 + 62*a - 22. Let u be c(15). Let n be u/32*(0 - -1 - -1). Factor 0*r + r**2 - n*r**4 - 1/2 + 0*r**3.
-(r - 1)**2*(r + 1)**2/2
Let f = 9458/7 + -1351. Let v(m) be the second derivative of -4*m + 0 - 1/84*m**4 + f*m**3 - 9/14*m**2. Let v(t) = 0. What is t?
3
Suppose 102*y + 17 = 103*y. Let o(b) be the second derivative of -1/10*b**5 + 1/30*b**6 + y*b - 1/12*b**4 + 0*b**2 + 1/3*b**3 + 0. Let o(n) = 0. Calculate n.
-1, 0, 1, 2
Suppose 7*p - 13*p = -24. Factor -30*l + 9*l**4 - 12*l**4 + 5*l**5 + 18*l**p - 55*l**2 - 15*l**3.
5*l*(l - 2)*(l + 1)**2*(l + 3)
Determine d, given that 24/5 - 494/5*d**2 - 94*d = 0.
-1, 12/247
Let s be 4017/156 - (-2)/(-8)*-1. Suppose s = 5*x + 11. Suppose 5*k**3 - 9*k**x - 12 + k**3 + 12*k + 3*k**2 = 0. Calculate k.
-2, 1, 2
Let d(m) be the first derivative of -12*m + 7/2*m**3 + 27/4*m**2 + 3/10*m**5 - 27/8*m**4 - 69. What is x in d(x) = 0?
-1, 1, 8
Let c be 16/(-6) + (-12)/18*-1. Let b be (-9)/c*(46/(-18) - -3). Let 28*f - 92*f + 18*f**2 + 10*f - b*f**3 + 54 = 0. What is f?
3
Let c(s) be the second derivative of -80/3*s**3 + 26/15*s**6 - 5/42*s**7 - 1 + 133/6*s**4 + 16*s**2 + s - 37/4*s**5. Find g such that c(g) = 0.
2/5, 1, 4
Determine d so that -318 - 9/5*d**4 + 507*d**2 - 507/5*d - 429/5*d**3 = 0.
-53, -2/3, 1, 5
Let c(i) be the third derivative of -i**8/336 + i**7/30 + i**6/120 - 11*i**5/12 + 7*i**4/2 - 6*i**3 - 3897*i**2. Find m such that c(m) = 0.
-3, 1, 2, 6
Let r(f) be the first derivative of f**4/4 - 58*f**3/3 + 841*f**2/2 + 11338. Let r(o) = 0. Calculate o.
0, 29
Let f = -13845 + 13846. Let y(t) be the first derivative of 0*t**3 - 1/4*t**5 + 0*t**2 - 1/8*t**4 - f + 0*t. Factor y(x).
-x**3*(5*x + 2)/4
Let z be -5 + (-368)/(-26) + (-2)/13. Let b be (2 + 4)*3/z. Let -5*d - d + 21*d**3 + 4*d**b - 19*d**3 = 0. Calculate d.
-3, 0, 1
Let q(n) be the second derivative of 0 + 5/12*n**4 - 10/3*n**3 + 0*n**2 + 3*n + 5/4*n**5. What is j in q(j) = 0?
-1, 0, 4/5
Let z(g) be the first derivative of -3*g**5/140 - 43*g**4/28 - 3*g**3 + 49*g - 120. Let s(b) be the first derivative of z(b). Factor s(d).
-3*d*(d + 1)*(d + 42)/7
Let 28 - 1236*j + 10*j**5 + 692 + 465*j**4 + 405*j**3 - 2040*j**2 - 34*j**5 = 0. Calculate j.
-2, -1, 3/8, 2, 20
Let f(x) be the first derivative of 0*x + 1/150*x**5 + 4/15*x**3 - 3 - x**2 + 1/12*x**4. Let w(d) be the second derivative of f(d). Factor w(q).
2*(q + 1)*(q + 4)/5
Determine m so that 0*m**4 + 116*m**3 + 0 + 68*m**4 - 394*m**2 + 442*m**2 + 0 = 0.
-1, -12/17, 0
Let i(d) = -15*d**3 - 5245*d**2 - 14540*d - 7260. Let u(m) = 16*m**2. Let c(j) = i(j) - 15*u(j). Factor c(a).
-5*(a + 2)*(a + 363)*(3*a + 2)
Let h = 45316/158949 - -14/22707. Let -h*c**5 + 0*c + 10/7*c**2 + 0 - 22/7*c**3 + 2*c**4 = 0. What is c?
0, 1, 5
Factor 9248 + 858*h**2 - 38*h**3 - 5168*h + 1/2*h**4.
(h - 34)**2*(h - 4)**2/2
Let u(j) be the second derivative of 2/21*j**7 - 4/15*j**6 + 37*j + 1 + 8/3*j**4 - 3/5*j**5 + 0*j**2 - 8/3*j**3. Factor u(a).
4*a*(a - 2)*(a - 1)**2*(a + 2)
Suppose -7*l + 992 + 2459 = 0. Factor -32 - l*h**3 + 495*h**3 - 34*h + 10*h.
2*(h - 4)*(h + 2)**2
Let 0*w + 12/5*w**2 + 12/5*w**5 + 0 - 48/5*w**3 - 3/5*w**4 = 0. Calculate w.
-2, 0, 1/4, 2
Let p = 189106/5 + -37945. Let t = 1243/10 + p. Find x, given that 0 + t*x + 2*x**3 + 5/2*x**2 = 0.
-1, -1/4, 0
Let c be ((-385)/(-5))/11 - 1*4. Let -5 - 3*u - u**2 - c - 3*u + 8*u + 4*u = 0. Calculate u.
2, 4
Let a be (-1)/(-2) + ((-51)/6 - -3). Let q be 2/a - 468/(-45). Factor -q + 5*s**4 + 11*s + 11*s + 15*s**3 + 5*s**2 - 37*s.
5*(s - 1)*(s + 1)**2*(s + 2)
Factor -1080 + 198*q - 659 - 5*q**2 - 671 + 370 - 568*q.
-5*(q + 6)*(q + 68)
Suppose -5*i - k - 910 = 0, 573 + 352 = -5*i + 2*k. Let p = 183 + i. Find v, given that -1/4*v**5 + 0 + 1/4*v**3 - 1/4*v**2 + p*v + 1/4*v**4 = 0.
-1, 0, 1
Factor 1115/2*q**2 + 5/2*q**3 + 61605/2 + 62715/2*q.
5*(q + 1)*(q + 111)**2/2
Let c(f) = -8*f - 5. Let p be c(-1). Let l be -9*(-1)/(-3) - p*-1. Factor l + 4/7*y - 2/7*y**3 + 2/7*y**2.
-2*y*(y - 2)*(y + 1)/7
Let j = -1283 + 1285. Suppose 2*d - 10 = -0*d. Suppose 53*o**2 + o**3 + d*o - 50*o**2 + j*o - 5*o = 0. Calculate o.
-2, -1, 0
Let i be (-2 - 0 - 4/(-8))/((-12)/24). Let g(f) be the first derivative of 12 + 5/3*f**i + 5/2*f**2 - 10*f. Factor g(r).
5*(r - 1)*(r + 2)
Factor -197192/9 - 1256/9*s - 2/9*s**2.
-2*(s + 314)**2/9
Let p = -120 - -126. Let g(h) = -3*h**4 + 11*h**3 + 7*h**2 - 89*h - 7. Let i(f) = 3*f**4 - 12*f**3 - 6*f**2 + 90*f + 6. Let d(j) = p*g(j) + 7*i(j). Factor d(a).
3*a*(a - 4)**2*(a + 2)
Let b(z) be the first derivative of z**6/24 - 3*z**5/2 + 57*z**4/16 - 7*z**3/3 + 893. Factor b(k).
k**2*(k - 28)*(k - 1)**2/4
Let h(t) be the third derivative of -1/720*t**6 + 1/48*t**4 - 25/6*t**3 + 0*t**5 + 0 + 28*t**2 + 0*t. Let u(p) be the first derivative of h(p). Factor u(a).
-(a - 1)*(a + 1)/2
Suppose -517218 + 517646 = 107*f. Factor 0 + 39/2*x**2 + 3/4*x**f + 0*x - 81/4*x**3.
3*x**2*(x - 26)*(x - 1)/4
Let f(u) = 3*u**2 + 1368*u - 2506. Let p(h) = 13*h**2 + 5530*h - 10023. Let n(a) = 9*f(a) - 2*p(a). Find q, given that n(q) = 0.
-1254, 2
Suppose 4*z - 11*g - 36 = -6*g, -3*z = 3*g. Let p be 1 + z/(-7) - 46/(-644). Factor -p*v**2 + 1/2*v + 0.
-v*(v - 1)/2
Let 93/5*r + 34/5*r**2 + 0 + 1/5*r**3 = 0. What is r?
-31, -3, 0
Let q = -2021 - -2025. Suppose 3*s - 5*s = -y - 4, 2*s = -5*y + q. Find b, given that y + 196/13*b**2 - 630/13*b**3 + 0*b - 14/13*b**5 - 192/13*b**4 = 0.
-7, 0, 2/7
Find d such that 108/13 - 6/13*d**4 + 122/13*d**2 - 158/13*d**3 + 382/13*d = 0.
-27, -1, -1/3, 2
Let t(i) = -i**2 - 2*i - 1. Let a(h) = 1. Let d(c) = 16*c**2 + 24*c - 32. Let g(v) = -4*a(v) - d(v). Let w(k) = g(k) + 12*t(k). Suppose w(y) = 0. Calculate y.
-2, 2/7
Let b be (8/10)/(16/40). Suppose 2 = b*n + m, 2*m - 7*m = n + 17. Factor -u + u + u - u**n.
-u*(u - 1)*(u + 1)
Let n be (-254)/508 + 0 + 115/70. Find w, given that 0*w + n*w**3 - 4/7*w**2 - 3/7*w**5 - 1/7*w**4 + 0 = 0.
-2, 0, 2/3, 1
Let j be 99/924*(-3)/(54/(-14)). Let w(v) be the first derivative of -2/3*v**2 - 1/15*v**5 + j*v**4 + 0*v + 4/9*v**3 - 4. Determine s so that w(s) = 0.
-2, 0, 1, 2
Factor -9698*f**4 + 69*f**3 + 9703*f**4 + 26*f**3 + 170*f**2.
5*f**2*(f + 2)*(f + 17)
Let d(s) be the third derivative of -s**5/600 + 17*s**4/60 - 67*s**3/60 + 230*s**2 + 6. Factor d(k).
-(k - 67)*(k - 1)/10
Let a = 12 - 26. Let y be (-45)/105 + (-524)/a. Find d such that 4*d**2 - 30*d + 6 - 7 + y + 6*d = 0.
3
Let a be (162/(-21) + 0)/(4030/(-270816)). Factor a + 2/5*b**4 + 944/5*b**2 - 576*b - 16*b**3.
2*(b - 18)**2*(b - 2)**2/5
Suppose 170 = -220*k + 225*k. Factor -7*j**3 + 3*j**3 - 292*j - 74 + 152*j**2 + 94 + k + 90.
-4*(j - 36)*(j - 1)**2
Find d such that -4*d**2 - 86964 - 3122*d + 1418*d - 59958 - 34554 = 0.
-213
Let j(u) be the first derivative of -u**4/28 - 8*u**3/21 + 45*u**2/14 - 36*u/7 + 1106. Factor j(x).
-(x - 3)*(x - 1)*(x + 12)/7
Let h(p) be the second derivative of 3*p**5/20 - 871*p**4/2 + 758641*p**3/2 - 6157*p. Factor h(f).
3*f*(f - 871)**2
Suppose -3*w = 12*w - 300. Let m be (-5)/(1950/(-216)) + (-8)/w. Find q, given that 0 - m*q**5 - 6/13*q**4 + 0*q + 0*q**3 + 0*q**2 = 0.
-3, 0
Let n = 86 - 73. Find h, given that -3*h**2 - 10*h**4 + n*h**4 - 4*h**3 + 7*h**3 - 3*h = 0.
-1, 0, 1
Let p = -753/5 - -153. Let s be (-35 + 10089/295)/(-1). Determine l so that -p*l + s*l**2 + 4/5*l**4 + 12/5*l**3 - 8/5 = 0.
-2, -1, 1
Let j(a) be the second derivative of -a**5/20 + 71*a**4/12 + 1925*a**3/6 + 11253*a**2/2 + 4358*a. Find w such that j(w) = 0.
-11, 93
Let q(t) = -t**3 - 8*t**2 + 79*t + 632. Let w be q(-9). Let v(i) be the third derivative of -1/36*i**4 + 0*i**3 + 0 + 7*i**w + 0*i + 7/180*i**5. Factor v(f).
f*(7*f - 2)/3
Let v be (9/(-24))/((-12)/16). Let c be ((-4)/(-56))/((-18)/(-63)). Solve 0*r**2 - c + 1/4*r**4 - v*r + 1/2*r**3 = 0 for r.
-1, 1
Suppose 49*t - 45*t = 228. Let a = -53 + t. Factor 2*w**a + 1 - 1 - 50*w**3 + 42*w**3 + 8*w**2.
2*w**2*(w - 2)**2
Let u be ((-42)/(-7))/12*6. Suppose -3*b + 13 = 2*i - 2, -3*b + 4*i = u. Find n, given that -4/5*n + 0 + 0*n**2 + 1/5*n**4 + 3