y + 48 = 0. Suppose 32/15*d + 8/15*d**2 - 2/15*d**i - 128/15 = 0. What is d?
-4, 4
Let f(p) = -p**3 - 7*p**2 + 7*p + 2. Let s be f(-8). Suppose 32 = -2*m + s*m. Solve g**4 - g - 6*g**2 + 2*g**3 + 7*g - 3*g**m + 16*g**2 = 0.
-1, 0, 3
Suppose -55*p + 1118 = -i - 59*p, 5*p = -5*i - 5665. Let m = 1143 + i. Let 15/2*y**2 + 0 + m*y - 15/2*y**4 - 5/2*y**3 - 5/2*y**5 = 0. Calculate y.
-2, -1, 0, 1
Let f(u) be the second derivative of -u**6/30 - 27*u**5/20 - 15*u**4 - 54*u**3 + 997*u. Determine t so that f(t) = 0.
-18, -6, -3, 0
Suppose -5*a = 3*w + 11, 0 = 4*a + 7*w + 61 - 20. Suppose -1/9*u**4 + 0 + 0*u + 1/9*u**3 + 0*u**a = 0. Calculate u.
0, 1
Let a(w) be the first derivative of 4/35*w**5 + 1/7*w**4 - 74 - 8/7*w**3 + 0*w**2 + 0*w. Find d such that a(d) = 0.
-3, 0, 2
Let -49 - 28 - 1212*n + 108 - 10201*n**2 - 67 = 0. What is n?
-6/101
Let z(b) be the second derivative of -b**7/14 - 7*b**6/2 + 3*b**5/10 + 35*b**4/2 - b**3/2 - 105*b**2/2 + 65*b - 8. Determine p so that z(p) = 0.
-35, -1, 1
Find o, given that -6/5*o**3 - 2/5*o**4 + 102/5*o + 26/5*o**2 + 72/5 = 0.
-3, -1, 4
Let s(u) be the first derivative of 1/39*u**6 + 0*u**2 + 2/39*u**3 - 4 + 3/26*u**4 + 6/65*u**5 + 0*u. Find b such that s(b) = 0.
-1, 0
Suppose 31*f = -54*f + 1105. Let q be 21 + -2 - f - 16/3. Factor -4/9*u + 0 - q*u**2 - 2/9*u**3.
-2*u*(u + 1)*(u + 2)/9
Suppose -6 = -3*f - 2*d, 12*f - 6 = 9*f - 3*d. Factor 4 - 5*l**2 + 24*l**3 - 1 - 3 + f*l**2.
3*l**2*(8*l - 1)
Suppose 33*f = 77*f. Suppose 0*t**2 + f*t - 20*t**3 - 8*t**4 - 4/5*t**5 + 0 = 0. What is t?
-5, 0
Let t(d) be the first derivative of -6*d - 1/3*d**3 + 5/2*d**2 + 13. Factor t(l).
-(l - 3)*(l - 2)
Let j(t) be the third derivative of -16*t + 27/5*t**3 + 0 - 93/40*t**4 - t**2 + 137/300*t**5 + 1/1050*t**7 - 7/200*t**6. Factor j(f).
(f - 9)**2*(f - 2)*(f - 1)/5
Let n be 6/(-56)*952/(-204). Suppose x - 18 = -0*x + 4*m, 0 = x - 3*m - 14. Let n*k + 3/4 - 1/4*k**x = 0. Calculate k.
-1, 3
Let y be ((-63)/6 - -3)/((-3)/6). Suppose -y = -6*f + f. Factor -468*l + 468*l - f*l**2.
-3*l**2
Suppose -5*s + 35 = 25. Let g be -2 + s + 10/2. Determine q so that 10 + 10*q**2 - 25*q**3 - 30*q**4 + 45*q - 5*q**g + 10 - 15*q**3 = 0.
-4, -1, 1
Let m = 86/3 + -30. Let w = 17/6 + m. Factor -27/2*c**2 + w*c**3 - 81/2 + 81/2*c.
3*(c - 3)**3/2
Let z = -77619 + 310493/4. Solve -z*s**3 + 1/2 - 13/4*s - 8*s**2 = 0.
-1, 2/17
Let t(y) = y**2 + 6*y - 4. Let j be t(-6). Let n be ((-12)/4 - j)*(-6)/(-3). Find d, given that 48*d**5 - 27*d**5 - 17*d**5 - 32*d**4 + 52*d**3 - 24*d**n = 0.
0, 1, 6
Let z(l) be the second derivative of -2*l**7/63 - 2*l**6/3 - 3*l**5/4 + 40*l**4/9 + 25*l**3/6 - 21*l**2 - 959*l. Determine u so that z(u) = 0.
-14, -3/2, 1
Let f be (2/8)/(-1*1/(-6))*7665/15330. Factor f*v**3 + 5/4*v**2 - 1 - v.
(v - 1)*(v + 2)*(3*v + 2)/4
Let x = -341 - -723. Let q = x + -380. Suppose -1 - 1/2*i**q + 3/2*i = 0. Calculate i.
1, 2
Let c(g) be the first derivative of 4/5*g**3 - 1/5*g**4 - 8/5*g**2 + 1/50*g**5 + 33 - 21*g. Let v(k) be the first derivative of c(k). Factor v(p).
2*(p - 2)**3/5
Let x = 65696/147249 - 28/16361. Solve -2/9 - 2/9*m**2 - x*m = 0 for m.
-1
Suppose -13*y - 3*y + 16 = 0. Suppose 0 = -52*n + 1 - y. Factor 2/15*f**3 - 4/15*f - 2/15*f**2 + n.
2*f*(f - 2)*(f + 1)/15
Let s(g) = -15714*g + 31431. Let o be s(2). Factor -3/4*r**4 + 1/4*r**5 - 9/4*r**o - 3*r + 0 + 23/4*r**2.
r*(r - 4)*(r - 1)**2*(r + 3)/4
Factor 16/9 + 10/3*p**2 + 124/9*p.
2*(p + 4)*(15*p + 2)/9
Let d = 1034659/2 + -517328. Let 0 - 3/2*p**3 + 0*p + d*p**2 = 0. Calculate p.
0, 1
Suppose -2*m + 2 = j, -303*m + 300*m = 2*j + 1. Suppose 0*t + 1/3*t**2 - 1/3*t**4 + 1/3*t**m + 0 - 1/3*t**3 = 0. Calculate t.
-1, 0, 1
Let d(j) be the second derivative of j**7/252 + 13*j**6/180 + 29*j**5/60 + 53*j**4/36 + 85*j**3/36 + 25*j**2/12 + 9051*j. Solve d(r) = 0.
-5, -1
Let a(z) be the third derivative of -z**8/20160 - z**7/840 - z**6/80 + z**5/20 + z**4/12 - 67*z**2. Let v(f) be the third derivative of a(f). Factor v(w).
-(w + 3)**2
Let b be (-411)/(-60) - 99/(-660). Let f(z) be the third derivative of -1/70*z**b + 3/20*z**6 - 46*z**2 + 0*z**5 + 0*z**3 - 4*z**4 + 0 + 0*z. Factor f(n).
-3*n*(n - 4)**2*(n + 2)
Let c = 13/1199 - -537113/3597. Factor 12544/3 + c*u + 4/3*u**2.
4*(u + 56)**2/3
Let r(b) be the first derivative of -b**6/30 + 3*b**5/10 - 3*b**4/4 - 197*b + 108. Let s(c) be the first derivative of r(c). Suppose s(m) = 0. What is m?
0, 3
Let k(u) be the third derivative of -1/180*u**4 + 0 - 1/5*u**3 - u + 1/900*u**6 + 16*u**2 + 1/50*u**5. Factor k(v).
2*(v - 1)*(v + 1)*(v + 9)/15
Suppose -465 = -4*f + 5*x - 2, -4*f + 478 = -2*x. Let c = f - 119. Find t, given that -128/9*t**4 + 64/9*t**c - 8/3*t + 88/9*t**2 - 2 = 0.
-1/2, 3/4
Let q be 2937/143 + -21 - (-13776)/1287. Let d(l) be the first derivative of q*l**3 - 9 + 8/11*l - 52/11*l**2. Factor d(o).
2*(13*o - 2)**2/11
Suppose 69 = -12*a + 9. Let d be 1*6 + (15/a - -1). Factor d*t**3 - 6*t**2 - 6*t**2 - 29*t + 29*t + 16.
4*(t - 2)**2*(t + 1)
Let 36/5*l - 4/5*l**3 - 36/5*l**2 + 324/5 = 0. What is l?
-9, -3, 3
Factor 1860*f + 8786*f**2 + 1493 - 8306*f**2 + 347 + 5*f**3.
5*(f + 2)**2*(f + 92)
Let l = 156 + -138. Let u be 60/l + (-3)/9 + 0. Factor 2*d**4 + 15*d**2 + 54*d - d**u + 39*d**2 + 18*d**3 + d**3.
2*d*(d + 3)**3
Solve 11516*a**2 - 252*a**2 - 10176*a + 288*a**3 + 2560 - 2022*a**4 - 3100*a**4 - 108*a**5 + 802*a**4 = 0 for a.
-40, -2, 2/3
Suppose -168 = 11*l - 23*l. Solve 13*u**3 - 29*u - l*u**3 + 29*u = 0.
0
Let p be 6/(-207) - (91980/(-2484) + 35). Determine x, given that 0*x - 1/9*x**5 - 2/3*x**p + 1/9*x**3 + 0 + 2/3*x**4 = 0.
-1, 0, 1, 6
Let h be 1 + (-26)/22 - 41562/99. Let d be 2/(-10) - 189/h. Factor -5/4*o**2 - 3/4*o + 0 - d*o**3 + 1/4*o**4.
o*(o - 3)*(o + 1)**2/4
Let m(h) be the third derivative of h**7/2940 - h**6/210 - h**5/420 + h**4/14 - 4*h**3 + 2*h**2 - 1. Let c(j) be the first derivative of m(j). Factor c(k).
2*(k - 6)*(k - 1)*(k + 1)/7
Let l(i) be the third derivative of i**6/1620 - 11*i**5/270 + 121*i**4/108 + 61*i**3/6 - 16*i**2 + 1. Let h(o) be the first derivative of l(o). Factor h(y).
2*(y - 11)**2/9
Let t = -28522 - -57045/2. Suppose -g**4 + 0*g + 1/4*g**5 - t*g**2 + 5/4*g**3 + 0 = 0. What is g?
0, 1, 2
Solve -64/13 + 24/13*h**2 - 2/13*h**4 - 4/13*h**3 + 16/13*h = 0.
-4, -2, 2
Let s(o) be the first derivative of -o**5/15 - 5*o**4/3 - 41*o**3/3 - 142*o**2/3 - 220*o/3 + 2960. Solve s(l) = 0.
-11, -5, -2
Let a be (-10875)/31900*(-8)/3. Factor -2/11*b + 2/11*b**3 + 10/11 - a*b**2.
2*(b - 5)*(b - 1)*(b + 1)/11
Find n, given that 4643 - 15288*n**3 - 253*n + 28320*n**2 - 1254*n - 46 - 19181*n + 2772*n**4 + 27*n**5 + 587 = 0.
-108, 2/3, 2
Let t = 373 - 358. Suppose y - 3 = -2*h, -2*h - 3*y + t = 2*y. Factor 15/7*j**2 - 12/7*j**3 + h - 3/7*j.
-3*j*(j - 1)*(4*j - 1)/7
Let y(z) = -z**3 + 15*z**2 - 13*z - 3. Let d be y(14). Suppose g - 3*o = d - 0, -2*o = g + 4. Factor -4*r**3 - 1861 + 1861 + 8*r**g - 4*r**4.
-4*r**2*(r - 1)*(r + 2)
Let u(v) be the third derivative of v**6/40 - 29*v**5/20 + 55*v**4/8 - 27*v**3/2 + 1088*v**2. Factor u(s).
3*(s - 27)*(s - 1)**2
Let u(t) be the second derivative of -t**7/1260 + t**6/60 + 9*t**5/20 - t**4/12 - 2*t**2 - 48*t. Let s(y) be the third derivative of u(y). Solve s(k) = 0.
-3, 9
Suppose 6*n + 158 = 85*n. Let s be (-1400)/(-980)*(n - 1). Find f, given that -2/7*f**3 - 8/7*f + 0 - s*f**2 = 0.
-4, -1, 0
Suppose 53370*d - 53383*d + 39 = 0. Let z(n) be the second derivative of 1/5*n**5 + 2/3*n**4 - 2*n**d + 35*n + 0*n**2 + 0. What is q in z(q) = 0?
-3, 0, 1
Factor 961 - 3*j**2 - 931 - 19*j - 2*j - 4*j - 2*j.
-3*(j - 1)*(j + 10)
Let j be (-8)/(-42)*(12 - 39/26). Determine u, given that 16/5*u**3 - 16 + 128/5*u - 1/5*u**4 - 72/5*u**j = 0.
2, 10
Let o(g) = g**2 - 14*g + 27. Let z be ((-135)/(-75))/(3/20). Let i be o(z). Factor -6*h**3 - i - 39*h**3 + 21*h - 24*h**2 - 3*h**3.
-3*(h + 1)*(4*h - 1)**2
Let h(k) be the first derivative of -56*k**2 - 12*k**4 - 4/5*k**5 - 108 - 40*k**3 - 36*k. Factor h(f).
-4*(f + 1)**3*(f + 9)
Suppose -4*c + 155 = i, 2*c - 2*i + 7 = 87. Let o = c - 37. Find v, given that v + 3/2 - 1/2*v**o = 0.
-1, 3
Suppose 3/2 + 7/4*k**4 - 19/4*k - 13/4*k**2 + 19/4*k**3 = 0. What is k?
-3, -1, 2/7, 1
Let j(d) be the first derivative of 1/3*d**2 + 6 - 1/36*d**4 - 1/18*d**3 + 27*d. Let