i - 3127.
-(i + 77)**2
Suppose -5 = 11*j - 5. Let a(m) be the second derivative of 0*m**2 + j*m**3 - 1/3*m**4 + 1/10*m**5 + 0 - m. Solve a(b) = 0 for b.
0, 2
Let y = -6769/13 + 521. Let r(t) be the second derivative of -y*t**2 + 0 + 7*t + 0*t**3 - 1/130*t**5 + 1/26*t**4. Find m, given that r(m) = 0.
-1, 2
Let z(c) = -c**2 + 7*c - 4. Let j be z(6). Suppose b - j*b = -3. Find v, given that -4*v**2 + 4*v**2 + 3*v**b - 3*v**2 = 0.
0, 1
Let s(q) be the third derivative of -q**5/180 + 5*q**4/36 + 11*q**3/18 - 75*q**2. What is f in s(f) = 0?
-1, 11
Let u(a) = -2*a**2 + 9*a - 15. Let n(g) = -2*g**2 + 10*g - 16. Let d(z) = -5*n(z) + 4*u(z). What is k in d(k) = 0?
2, 5
Let y = 13491 + -67443/5. Let 4/5*v**5 - 12/5*v**2 + 0 + y*v**4 - 4/5*v**3 + 0*v = 0. Calculate v.
-3, -1, 0, 1
Let d(k) = k**2 - 30*k + 65. Let c be d(32). Let l = 129 - c. Factor 0*a**2 + l + 1/4*a**4 + 1/2*a**3 + 0*a.
a**3*(a + 2)/4
Solve -912/5*g**3 + 12/5*g + 6/5 - 234/5*g**2 - 672/5*g**4 = 0.
-1, -1/4, 1/7
Suppose 0 = 3*f - 6 - 0. Let m be (6/f)/(((-8)/(-1))/4). Factor 2 + 3*l + 1/4*l**3 + m*l**2.
(l + 2)**3/4
Let x(s) = -54*s + 12. Let j be x(-6). Suppose -2*k + j - 2*k**2 - 336 = 0. What is k?
-1, 0
Suppose -155*p + 96 + 214 = 0. Let 0 - 4/3*c - p*c**3 - 10/3*c**2 = 0. Calculate c.
-1, -2/3, 0
Let j = -547 + 1645/3. Let u(f) be the second derivative of -8/3*f**3 - j*f**4 + 0 + 0*f**2 + 1/5*f**5 + 2/15*f**6 - 4*f. Let u(d) = 0. What is d?
-2, -1, 0, 2
Let n = -1793/4 - -1795/4. Factor 4*b + 7/2 + n*b**2.
(b + 1)*(b + 7)/2
Let a(g) = 3*g**2 - 13*g + 6. Let i(h) = 2*h**2 - 7*h + 3. Let d(x) = -3*a(x) + 5*i(x). Let m be d(-5). Factor -2*n - 2*n**m - 6*n + 4*n.
-2*n*(n + 2)
Let t(g) = 13*g**3 - 43*g**2 + 72*g + 5. Let d = -73 + 78. Let h(j) = -84*j**3 + 280*j**2 - 468*j - 32. Let a(r) = d*h(r) + 32*t(r). Factor a(v).
-4*v*(v - 3)**2
Let g = -2159/3 - -721. Factor 1/3*f + g*f**2 + 0 + f**3.
f*(f + 1)*(3*f + 1)/3
Let k(t) be the third derivative of t**8/2184 - 46*t**7/1365 + 529*t**6/780 - 51*t**2. Factor k(u).
2*u**3*(u - 23)**2/13
Let a be 1*4/8*0 - -5. Find c such that 5*c**2 + 3*c**3 - c**a - 2*c - 128*c**4 + 63*c**4 + 64*c**4 - 4*c**2 = 0.
-2, -1, 0, 1
Suppose -5*w + 3*j + 1 + 16 = 0, -5*j - 3 = -2*w. Let n(v) be the first derivative of 0*v**2 - 4*v**w + 16/3*v**3 + 4/5*v**5 - 1 + 0*v. Factor n(z).
4*z**2*(z - 2)**2
Let t(u) = -5*u + 20. Let o be t(4). Let l be 0/(0 - -2) + 2 + o. Determine v, given that -6 - l*v**2 + 6*v + 2/9*v**3 = 0.
3
Let k = -21 - 0. Let r be 4/6 + k/(-9). Suppose 3*p**4 + 2*p**5 - 4*p - 4*p**5 - 3*p**4 - 2*p**4 + 6*p**r + 2*p**2 = 0. What is p?
-2, -1, 0, 1
Suppose 3*l - 11 = 2*o - 2*l, o + 4*l = 14. Determine d, given that -51*d**3 + 53*d**3 - o - 2*d**2 + 2 - 4*d = 0.
-1, 0, 2
Let v(u) be the second derivative of u**6/6 - 7*u**5/2 + 65*u**4/3 - 55*u**3 + 135*u**2/2 - 6*u + 10. Determine k so that v(k) = 0.
1, 3, 9
Factor 450*n**3 + 45*n**2 - 539*n + 85*n**4 + 5*n**5 + 210*n**2 + 208*n**2 - 541*n + 77*n**2.
5*n*(n - 1)*(n + 6)**3
What is y in 35*y - 53*y**3 - 3*y**2 + 8*y**4 - 3*y**4 - 2*y**2 + 18*y**3 = 0?
-1, 0, 1, 7
Let k be (-12)/(-12) - -1*3. Let m(r) be the second derivative of -4*r - 1/3*r**k - 1/2*r**2 - 2/3*r**3 + 0. Factor m(v).
-(2*v + 1)**2
Factor 3*r + 0 - 3/2*r**2 - 3/2*r**3.
-3*r*(r - 1)*(r + 2)/2
Suppose 47*x + 215 = 90*x. Factor -3/4*n**4 + 0*n - 3/4*n**3 + 3/4*n**2 + 0 + 3/4*n**x.
3*n**2*(n - 1)**2*(n + 1)/4
Let n(t) be the first derivative of 5*t**3 + 3/4*t**4 - 44 + 9*t + 21/2*t**2. Suppose n(l) = 0. Calculate l.
-3, -1
Let p = -34 - -38. Suppose 9 = m + p. Let 56/3*w + 172/3*w**3 + 146/3*w**2 + 8/3 + 88/3*w**4 + 16/3*w**m = 0. Calculate w.
-2, -1/2
Let n be 2/(-6) - 50/(-15). Let y(g) be the first derivative of 6*g**2 - g**3 - 4*g**n - 4 + 2*g**3 - 3*g + 0*g**3. Determine j so that y(j) = 0.
1/3, 1
Let b(z) be the third derivative of 0*z**3 + 1/80*z**5 + 0*z**4 + 0 + 0*z - 10*z**2 + 1/560*z**7 + 3/320*z**6. What is q in b(q) = 0?
-2, -1, 0
Let c(x) = 5*x**4 - 21*x**3 - 6*x**2 - 8*x. Let i(m) = m**3 + m. Let t be (-3 - (6 + -11)) + 2 + -1. Let l(k) = t*c(k) + 24*i(k). Factor l(z).
3*z**2*(z - 3)*(5*z + 2)
Let q(m) be the second derivative of -m**7/3 - 16*m**6/15 - 2*m**5/5 + 7*m**4/3 + 11*m**3/3 + 2*m**2 - m - 4. Determine y, given that q(y) = 0.
-1, -2/7, 1
Let q be (-16)/(-5) - (-20)/250*10. What is g in 1/4*g**q + 0*g + 0 + 3/4*g**3 + 1/2*g**2 = 0?
-2, -1, 0
Let w(x) be the third derivative of 0 - 2/75*x**6 + 0*x - 1/525*x**7 - 3/5*x**3 + 3*x**2 - 11/75*x**5 - 2/5*x**4. Determine o so that w(o) = 0.
-3, -1
Let n(j) be the third derivative of j**6/600 + j**5/300 - j**4/24 + j**3/10 - 6*j**2 - 2*j. Factor n(w).
(w - 1)**2*(w + 3)/5
Let i(p) = p**3 + 32*p**2 + 2. Let w be i(-32). Suppose -9*u**w - 66*u**2 + 75*u**4 + 39*u**3 - 20*u**5 - 12*u + u**3 - 8*u = 0. What is u?
-1, -1/4, 0, 1, 4
Suppose 2 = -2*y, 6*y + 6 = f + 4*y. Let -38*d + 0 - 7*d**2 - d**2 - f + 2*d**3 + 48*d = 0. Calculate d.
1, 2
Let z(r) be the second derivative of 13*r - 1/18*r**3 + 1/18*r**4 + 0 + 0*r**2 - 1/45*r**6 + 0*r**5 + 1/126*r**7. Factor z(a).
a*(a - 1)**3*(a + 1)/3
Factor 44*m**5 + 60*m**3 + m**2 - 10442*m**4 + 10346*m**4 - 9*m**2.
4*m**2*(m - 1)**2*(11*m - 2)
Let o(d) be the second derivative of 0 - 1/40*d**6 + 0*d**2 - 31*d - 3/80*d**5 - 3/8*d**3 + 5/16*d**4. Determine r, given that o(r) = 0.
-3, 0, 1
Let z(c) be the third derivative of 0*c**3 + 0*c - 1/48*c**4 + 0 + 5*c**2 + 1/360*c**5. Factor z(h).
h*(h - 3)/6
Find g, given that -5/4*g + 0 - 1/4*g**2 = 0.
-5, 0
Factor 0 - 18/7*z**2 + 0*z - 3/7*z**3 + 3/7*z**4.
3*z**2*(z - 3)*(z + 2)/7
Let s(y) be the first derivative of -y**6/30 + 3*y**4/20 - 2*y**3/15 + 33. Find k, given that s(k) = 0.
-2, 0, 1
Suppose -5*l - k - 42 = 0, -k - 11 = 2*l + 7. Let f = l + 10. Factor -2/7*j**f - 4/7 - 6/7*j.
-2*(j + 1)*(j + 2)/7
Let h(v) be the third derivative of -v**6/40 - 21*v**5/20 + 11*v**4/4 - 314*v**2. What is z in h(z) = 0?
-22, 0, 1
Let l(p) be the second derivative of -10*p**7/21 + 308*p**6/45 + 179*p**5/15 - 66*p**4 - 952*p**3/9 - 176*p**2/3 - 2*p - 2. What is k in l(k) = 0?
-2, -2/5, -1/3, 2, 11
Suppose -12*h = -32*h + 16*h + 13*h. Factor h + 2/13*b + 2/13*b**3 - 4/13*b**2.
2*b*(b - 1)**2/13
Suppose -2/5*b**3 + 0 + 12/5*b + 2/5*b**2 = 0. Calculate b.
-2, 0, 3
Let n(h) be the second derivative of 3*h**5/20 + 18*h**4 + 714*h**3 + 6936*h**2 + 577*h. Factor n(w).
3*(w + 4)*(w + 34)**2
Suppose 7*n - 36 = 20. Determine d, given that -6*d + 10*d - n*d - 2*d**3 - 6*d**2 = 0.
-2, -1, 0
Let i = 14768/5159 + -4/737. Suppose 0*p**2 + 0*p - 12/7*p**3 - 8/7*p**5 + i*p**4 + 0 = 0. What is p?
0, 1, 3/2
Let m(t) be the first derivative of 3/10*t**2 - 2/15*t**3 + 2 + 2/5*t. Factor m(i).
-(i - 2)*(2*i + 1)/5
Suppose -a = 3*k - 42, -68 = -7*a + 5*a + 2*k. Suppose -3*s - s = -a. Let 6*h**2 + s*h**2 - 12*h**2 - 4 + h**3 = 0. What is h?
-2, 1
Let z(w) be the first derivative of 2*w**5/45 + w**4/18 - 8*w**3/27 - 4*w**2/9 + 89. Solve z(t) = 0.
-2, -1, 0, 2
Let l(m) be the third derivative of 22*m**2 + 0 + 1/3*m**5 - 4/3*m**4 + 2*m**3 + 0*m. Factor l(n).
4*(n - 1)*(5*n - 3)
Let k(w) = 7*w + 21. Let q be k(-3). What is l in q + 1/3*l**2 + 2/3*l - 2/3*l**3 - 1/3*l**4 = 0?
-2, -1, 0, 1
Suppose h = 1 - 0. Let d = h - -2. Factor -3*r**5 + 0*r**5 + d*r**3 + 0*r**5.
-3*r**3*(r - 1)*(r + 1)
Let u = -15 + 20. Suppose -4*t**5 + 40*t**4 + 10 - 5*t**5 + 15*t - 9*t**u - 50*t**2 + 3*t**5 = 0. What is t?
-1, -1/3, 1, 2
Factor 124*u**2 - 232*u**2 + 124*u**2 + 86*u + 2*u + 3*u**3 - 13*u**3 + 32.
-2*(u - 4)*(u + 2)*(5*u + 2)
Find u such that 0 + 0*u - 3/4*u**3 - 1/2*u**2 - 1/4*u**4 = 0.
-2, -1, 0
Let q be (-2)/(-8) - 9/36. What is u in 4/5*u + 0*u**2 - 1/5*u**3 + q = 0?
-2, 0, 2
Solve 5*l**4 - 8*l**3 - l**3 + 4*l**3 = 0 for l.
0, 1
Let h = -7 - -12. Let u(s) = 11*s**4 + 18*s**3 - 19*s**2 + 5. Let v(t) = 5*t**4 + 9*t**3 - 10*t**2 + 2. Let k(y) = h*v(y) - 2*u(y). Find n, given that k(n) = 0.
-4, 0, 1
Let g(t) = t + 14. Let j be g(-17). Let v be (8/1)/(5 + j). What is n in -4*n**5 + 83*n**3 - 83*n**3 + 4*n**v + 0*n**5 = 0?
0, 1
Let u(c) be the second derivative of 0 + 1/60*c**5 + 1/3*c**2 - 1/18*c**4 + 2*c - 1/18*c**3. Factor u(d).
(d - 2)*(d - 1)*(d + 1)/3
Suppose -2/7*c**3 + 10*c**2 + 0 + 0*c = 0. Calculate c.
0, 35
Let n be ((-16)/7 - -1)*(-1812)/4077. S