pose -35*z + 41*z - 12 = 0. Solve 2*h**4 + 11*h**4 - 10*h + 15*h**z - 7*h**4 - h**4 - 35*h + 25*h**3 = 0.
-3, 0, 1
What is t in 8/3*t**3 - 14/3 + 1/6*t**4 + 9/2*t**2 - 8/3*t = 0?
-14, -2, -1, 1
Let l be 3 + -6 + 1584/(-324)*3/(-4). Suppose 16 - 10/3*h - l*h**2 = 0. What is h?
-8, 3
Suppose 2*z + 12 = 14*j - 11*j, 3*j + 3*z + 3 = 0. Determine p, given that -138*p**j + 5 + 68*p**2 + 65*p**2 = 0.
-1, 1
Let d(v) be the first derivative of -21*v**4/8 - 12*v**3 + 75*v**2 - 72*v + 2016. Let d(b) = 0. What is b?
-6, 4/7, 2
Let w be (16/24)/((-1)/(-3))*-11. Let y = -20 - w. Factor -3*q**y + 0*q + 4*q**3 - 3*q**3 - 2*q**3 - 3*q - 1.
-(q + 1)**3
Factor -1/3*n**3 - 17/3*n**2 - 10*n + 0.
-n*(n + 2)*(n + 15)/3
Let r be 33/(-6)*5/((-5)/18). Find n such that 21*n + 3*n**2 - 87*n + 264 + r = 0.
11
Let y(i) be the first derivative of -3/56*i**4 + 1/35*i**5 + 0*i**2 + 1/280*i**6 + 0*i - 35/3*i**3 - 8. Let q(s) be the third derivative of y(s). Factor q(m).
3*(m + 3)*(3*m - 1)/7
Let l(d) be the first derivative of 3*d**4/2 + 14*d**3/3 + 5*d**2/2 - 3. Let q(x) = -x**3 - x**2 - x. Let t(g) = -l(g) - 5*q(g). Find z such that t(z) = 0.
-9, 0
Let v(d) = 2*d**2 - 17*d + 2. Let r be v(0). Suppose 4/9 - 2/9*j**r + 2/9*j = 0. What is j?
-1, 2
Suppose 959 - 298 = 5*h - 4*g, 2*h - 4*g = 274. Suppose 0 = 9*a + 102 - h. Determine p, given that -2/3*p**a + 0 - 1/6*p + 2/3*p**2 = 0.
0, 1/2
Suppose 0*h - 7*h + 175 = 0. Let z = h - 23. Let y(q) = -7*q**4 + 5*q**3 + 3*q**2 - 5*q - 2. Let u(c) = c**4 + c**2 + 1. Let d(i) = z*u(i) + y(i). Factor d(x).
-5*x*(x - 1)**2*(x + 1)
Let u(g) be the third derivative of -g**6/24 - 14*g**5/3 - 275*g**4/2 + 3000*g**3 - 5791*g**2. Determine b, given that u(b) = 0.
-30, 4
Let g(f) be the third derivative of 5*f**9/1512 + f**8/112 - 85*f**3/6 + 68*f**2. Let t(y) be the first derivative of g(y). Let t(p) = 0. What is p?
-3/2, 0
Solve 324/11*c - 2/11*c**2 - 3040/11 = 0.
10, 152
Let m be (-2)/4 - (31 + (-1376)/64) - 35/(-3). Let -15 - 5*w**3 + m*w**2 + 45*w = 0. What is w?
-3, 1/3, 3
Let g(z) be the third derivative of z**6/120 + 49*z**5/60 + 95*z**4/3 + 600*z**3 - 849*z**2. Solve g(i) = 0 for i.
-20, -9
Let w(x) be the second derivative of -80*x + 0 + 17/39*x**3 - 8/13*x**2 - 1/39*x**4. Suppose w(u) = 0. What is u?
1/2, 8
Let p = 7105 + -7105. Let d(w) be the third derivative of 1/180*w**5 + 1/18*w**4 - 10*w**2 + 0 + p*w**3 + 0*w. Determine l, given that d(l) = 0.
-4, 0
Let f be (-1 - (30/1)/6) + 242. Let z = 236 - f. Factor 3/8*a**5 + 3/8*a + 0*a**4 - 3/4*a**3 + z*a**2 + 0.
3*a*(a - 1)**2*(a + 1)**2/8
Let z = 76 + -9. Factor 145*t - 2*t**2 + z - 185 + 7*t**2 - 2*t**2 + 30*t.
(t + 59)*(3*t - 2)
Solve 72 - 14*y**4 - 6*y**3 + 148*y**2 + 47*y**2 - y**4 + 258*y = 0 for y.
-3, -1, -2/5, 4
Suppose 0 = -190*p - 15*p. Let j(v) be the second derivative of -21*v - 1/3*v**4 + 1/5*v**5 + 0*v**2 + 0*v**3 + p - 1/30*v**6. Suppose j(u) = 0. What is u?
0, 2
Let d = 236887 + -472933/2. Factor 1/2*b**2 + 29*b + d.
(b + 29)**2/2
Let f(c) be the third derivative of 1/40*c**6 + 0 + 0*c + 132*c**2 + 2/5*c**5 + 9*c**3 + 21/8*c**4. Factor f(u).
3*(u + 2)*(u + 3)**2
Suppose -6721*i = -6629*i. Factor 0*j**2 + 6*j**4 + 3/2*j**5 + 0 + i*j + 6*j**3.
3*j**3*(j + 2)**2/2
Let c(r) be the first derivative of -r**3/7 + 174*r**2/7 - 1980*r/7 + 5074. Determine g, given that c(g) = 0.
6, 110
Let q(m) be the second derivative of 1/180*m**5 - 1/72*m**4 + 0 - 1/1080*m**6 + 14*m + 0*m**2 + 2*m**3. Let l(b) be the second derivative of q(b). Factor l(z).
-(z - 1)**2/3
Let i = 100792 - 100789. Factor 18*q**2 + 34*q + 50/3 + 2/3*q**i.
2*(q + 1)**2*(q + 25)/3
Suppose 405*j + 226*j = 458 + 804. Factor 0 + 32/7*f + 2/7*f**3 + 2/7*f**5 - 12/7*f**4 + 48/7*f**j.
2*f*(f - 4)**2*(f + 1)**2/7
Suppose -15 = -3*b + 3*i, -5*b + 2*i + 14 - 4 = 0. Suppose b = -l + 4 - 1. Let 3*v**4 + 3*v**l - 9*v**3 + 9*v**3 = 0. What is v?
-1, 0
Let r(y) be the first derivative of 0*y - 1/12*y**6 - 1/8*y**4 - 4*y**3 - 83 - 4*y**2 + 3/5*y**5. Solve r(w) = 0.
-1, 0, 4
Factor 0*q + 24*q**4 + 0 - 135/2*q**3 - 243*q**2 - 3/2*q**5.
-3*q**2*(q - 9)**2*(q + 2)/2
Suppose 5 = v + 2*n, 6*n - 2 = -2*v + 10*n. Factor -12*z**2 - 9 - 7 + 23*z + z**4 - 3*z**3 - 51*z + v*z**3 + z**3.
(z - 4)*(z + 1)*(z + 2)**2
Solve 0 + 6*q**2 - 2/7*q**3 + 144/7*q = 0 for q.
-3, 0, 24
Let d(t) = 7*t**3 + 1593*t**2 - 1584*t - 4. Let s(x) = -13*x**3 - 3183*x**2 + 3168*x + 7. Let b(r) = -7*d(r) - 4*s(r). Factor b(o).
3*o*(o - 1)*(o + 528)
Let t(h) be the first derivative of -3*h**5/35 - 3*h**4/14 + 4*h**3/7 + 12*h**2/7 - 1968. Factor t(n).
-3*n*(n - 2)*(n + 2)**2/7
Let m(j) = -5*j**5 + 3*j**4 - 5*j**3 - 6*j**2 + j + 6. Let l(v) = 8*v**5 - 4*v**4 + 4*v**3 + 8*v**2 - 8. Let q(b) = -3*l(b) - 4*m(b). Factor q(w).
-4*w*(w - 1)**2*(w + 1)**2
Let u be ((-4)/6*3)/((-291)/194). Factor -t**3 + 2/3*t**4 + 0 + 4/3*t - u*t**2 + 1/3*t**5.
t*(t - 1)**2*(t + 2)**2/3
Factor -193346 + 54722 + 672*d**3 - 3809*d + 906*d**2 - 63679*d - 675*d**3.
-3*(d - 152)**2*(d + 2)
Let s(v) be the third derivative of v**8/168 + 14*v**7/15 + 1583*v**6/30 + 5412*v**5/5 - 14157*v**4/4 - 23958*v**3 + 2*v**2 + 1183. Suppose s(x) = 0. What is x?
-33, -1, 2
Let p = 647 + -646. Let z be p*(-1 - (6 - 7)). Find o, given that -8/3*o + 8/3*o**2 - 2/3*o**3 + z = 0.
0, 2
Let n = 126170 - 126168. Determine k so that 106/7*k + 176/7*k**n + 2 - 96/7*k**3 = 0.
-1/4, 7/3
Suppose -9*s + 44395 = 44368. Factor -82/7*r**4 - 2816/7*r - 710/7*r**s + 968/7 - 2/7*r**5 + 2642/7*r**2.
-2*(r - 1)**3*(r + 22)**2/7
Let -32 + 12*x - 2441*x**2 - 1849*x**2 + 338*x**3 - 1241*x - 72 - 115*x = 0. What is x?
-2/13, 13
Let s(l) = 27*l**2 - 6*l - 8. Let c be s(-1). Suppose -49*b - 25 + c = 0. What is j in b - 2/23*j**4 + 0*j - 2/23*j**3 + 4/23*j**2 = 0?
-2, 0, 1
Suppose 4*m - 6*m = 42*m - 5*m. Let x(l) be the second derivative of 3/40*l**5 - l**2 + 36*l + 0*l**3 + m + 7/24*l**4. Find h such that x(h) = 0.
-2, -1, 2/3
Suppose 1019592/11 + 2856/11*x + 2/11*x**2 = 0. What is x?
-714
Let k(x) be the second derivative of -x**10/68040 + x**9/11340 - x**8/7560 - 127*x**4/12 + 34*x - 2. Let a(m) be the third derivative of k(m). Factor a(o).
-4*o**3*(o - 2)*(o - 1)/9
Factor 2/3*g**2 - 104/3*g + 0.
2*g*(g - 52)/3
Let w be (-10)/(-20) + (-3 - (-26)/4). Factor 1 - 2*s**2 + 63*s**4 - 124*s**4 + 62*s**w.
(s - 1)**2*(s + 1)**2
Let z(b) = 4*b - 2*b - 3*b - b**2 + 15 - b**3 - 13. Let u(c) = -48*c**3 - 54*c**2 - 3*c - 6. Let y(n) = u(n) + 3*z(n). Factor y(p).
-3*p*(p + 1)*(17*p + 2)
Suppose -44 = -5*i - 6*r, 2*i + 36 = 7*i + 4*r. Let z = -3 + 6. Solve 1 - 1 + 6*b**z + 3*b**2 + b**i - 10*b**3 = 0 for b.
0, 1, 3
Let q(j) be the third derivative of -3/7*j**4 + 55*j**2 - 1/21*j**3 - 54/35*j**5 + 0*j + 0. What is s in q(s) = 0?
-1/18
Let x = 81667 + -81664. Factor -11*l - 19/7 - 61/7*l**2 - 3/7*l**x.
-(l + 1)*(l + 19)*(3*l + 1)/7
Factor 3/2*s**2 + 651 + 657/2*s.
3*(s + 2)*(s + 217)/2
Let t = 5475727/5 - 1095083. Factor t*l**2 + 3/5 - 162/5*l.
3*(2*l - 1)*(52*l - 1)/5
Suppose -4*l - 300 = 300 - 592, 4*w - 10 = l. Factor 3/4*i**4 + 3 + 39/4*i**w - 9/2*i**3 - 9*i.
3*(i - 2)**2*(i - 1)**2/4
Let g(z) = -z**3 - 5*z**2 + 5*z - 7. Let u be g(-6). Let l = u - -31. Let l*k**3 - 4 - 21*k**2 + 2*k - 9*k**4 + 16 - 14*k = 0. Calculate k.
-2/3, 1, 2
Let s = 32467 + -3394. Let f be -2 + (11 - s/(-45)). Find z such that -136/5*z - f*z**3 + 16/15 + 1156/5*z**2 = 0.
2/17
Let v be ((-54)/(-81))/((-4)/18) - -7. Find b such that -120*b + 20*b**2 + 2*b**5 + 90*b**3 + 3*b**5 - 1650*b**v + 1605*b**4 = 0.
-1, 0, 2, 6
Let v(d) = -2881*d**2 + 103*d + 4. Let g(p) = -7*p**2 + p - 1. Let f(h) = 5*g(h) + v(h). Solve f(m) = 0.
1/54
Let m be 15 - 23 - (-3 + 1 - 3). Let g be -7 + (-31)/m - 3. Factor 1/3 - y**2 + 1/9*y + 2/9*y**4 + g*y**3.
(y - 1)**2*(y + 3)*(2*y + 1)/9
Let n(p) be the second derivative of -p**6/2160 - p**5/240 + p**4/36 + 49*p**3/6 + p + 24. Let q(d) be the second derivative of n(d). Factor q(z).
-(z - 1)*(z + 4)/6
Let n(z) be the third derivative of 0*z**3 + 0*z - 3/10*z**6 - 3/448*z**8 + 1/14*z**7 + 0 + 3/5*z**5 - 1/2*z**4 + 16*z**2. Factor n(v).
-3*v*(v - 2)**3*(3*v - 2)/4
Factor 2/15*j**3 - 136*j + 2048/15 + 168/5*j**2.
2*(j - 2)**2*(j + 256)/15
Let z(y) be the second derivative of -1/75*y**6 + 60 + 2/5*y**5 - y - 4/3*y**3 + 11/15*y**4 - 21/5*y**2. Determine m so t