 1)**2*(o + 2)/7
Suppose 194*t - 3410 = 184*t. Suppose t*b**2 - 5*b**3 + 302*b**2 - 673*b**2 = 0. What is b?
-6, 0
Suppose 5*n - 24 = -29*n + 28*n. Factor 2/9*i**n + 0*i**2 + 0*i**3 + 0*i + 0.
2*i**4/9
Let v = -224 + 656. Let j = v + -429. Factor -2/7*f**2 + 1/7*f**j - f - 4/7.
(f - 4)*(f + 1)**2/7
Let c be -53*(1 + (-128)/160) - (-12 + 1). What is k in 0 + 4/5*k + c*k**2 = 0?
-2, 0
Let d(b) be the third derivative of b**7/840 - b**6/72 - 53*b**3/6 - 110*b**2. Let j(u) be the first derivative of d(u). Let j(a) = 0. What is a?
0, 5
Let p(w) = -13*w + 41. Let n be p(-19). Suppose -4*r + n = -x, -3*r - 2*x = -3*x - 216. Let 40 + 168*l + r*l + 350*l**2 - 245*l**3 + 20*l = 0. What is l?
-2/7, 2
Let x(b) be the second derivative of -b**5/10 - 49*b**4/3 - 469*b**3/3 - 372*b**2 + 1357*b. Factor x(n).
-2*(n + 1)*(n + 4)*(n + 93)
Let s be 10 + (1 + 0 + 0 - (6 + 0)). Factor 22/7*g**2 + 2/7*g**s - 24/7*g - 6/7*g**4 + 8/7 - 2/7*g**3.
2*(g - 2)*(g - 1)**3*(g + 2)/7
Let d be (4/(-114))/((-22)/759). Let z = 65/38 - d. Factor z*m**2 + 1 + 3/2*m.
(m + 1)*(m + 2)/2
Let m(a) be the first derivative of a**5/5 - 51*a**4/8 - 9*a**3/2 + 13*a**2/2 + 2375. Let m(c) = 0. What is c?
-1, 0, 1/2, 26
Let v(i) be the first derivative of -6*i + 0*i**3 + 9/2*i**2 - 3/4*i**4 + 34. Factor v(q).
-3*(q - 1)**2*(q + 2)
Let w(b) = b**2 + b - 9. Let p be w(3). Factor 6*o - 23*o**3 + 34*o**3 - p*o + o**2 - o**4 - 14*o**3.
-o*(o - 1)*(o + 1)*(o + 3)
Let d(h) be the first derivative of -2 - 12*h + 9/2*h**2 - 1/2*h**3. Solve d(y) = 0.
2, 4
Let d(p) be the third derivative of 1/540*p**6 + 0 - 1/45*p**5 + 37*p**2 - 2*p**3 - 5/36*p**4 + 0*p. Let j(i) be the first derivative of d(i). Factor j(h).
2*(h - 5)*(h + 1)/3
Let k = -1516787 - -1516787. Factor 1/3*p**4 + k*p**3 - 1/6*p - 1/3*p**2 + 0 + 1/6*p**5.
p*(p - 1)*(p + 1)**3/6
Let g(q) be the second derivative of -q**4/60 - 32*q**3/5 - 4608*q**2/5 - 3579*q. Let g(v) = 0. What is v?
-96
Let l be (289/170 - 24/(-180))*(-14)/(-77). Let l*f**2 - 12*f + 35/3 = 0. What is f?
1, 35
Suppose 408 - 504 = -8*j. Let b be (-466)/(-22) + (-10)/55. Suppose -2 - b*z + 11 - 3*z**3 + 3*z**2 + j*z**2 = 0. Calculate z.
1, 3
Let u(w) be the second derivative of 1/22*w**5 + 4/33*w**4 + 54*w + 0 + 1/33*w**3 - 2/11*w**2. Factor u(l).
2*(l + 1)**2*(5*l - 2)/11
Let n be (96 - 98) + (-2026)/6. Let m = 1701/5 + n. Factor m*x**2 + 26/5*x - 4/3.
2*(x + 10)*(4*x - 1)/15
Let b(p) be the third derivative of -9/4*p**3 - 1/80*p**5 + 0*p - 9/32*p**4 + 0 + 150*p**2. Factor b(q).
-3*(q + 3)*(q + 6)/4
Suppose -2*m - 10 = -2*q, -q + 23 = -4*m + 2*q. Let y be (-1)/m - 2/(960/(-36)). Factor 19/10*b**2 + y*b + 17/10*b**3 + 0.
b*(b + 1)*(17*b + 2)/10
Factor -3/7*i**2 + 1/7*i**3 - 4 - 24/7*i.
(i - 7)*(i + 2)**2/7
Let u(k) be the first derivative of -k**8/672 - 3*k**7/140 - 7*k**6/120 - 45*k**2/2 + 78. Let s(t) be the second derivative of u(t). Let s(z) = 0. What is z?
-7, -2, 0
Determine l so that -1/6*l**3 - 288 - 6*l**2 - 72*l = 0.
-12
Let s(h) be the first derivative of -1/2*h**2 - 1/4*h**4 - 2/3*h**3 - 106 + 0*h. Let s(x) = 0. What is x?
-1, 0
Let b(c) = 19*c + 367. Let s be b(-19). Suppose -s*m + 61 = 37. Let 1 + n - 3/4*n**2 - n**3 - 1/4*n**m = 0. What is n?
-2, -1, 1
Suppose 5*z = j - 35, -5*j - 5*z = -0*j - 85. Let q be 3*j - (-1 - (3 - 4)). Factor 5*k**3 - 127*k + 62*k + q*k.
5*k*(k - 1)*(k + 1)
Let l(a) be the first derivative of -11/6*a**4 + 16/3*a - 2/15*a**5 - 83 + 10/3*a**2 - 14/9*a**3 + 1/9*a**6. Let l(i) = 0. What is i?
-2, -1, 1, 4
Let z(o) be the first derivative of 3*o**4/28 - 2*o**3/7 - 510*o**2/7 - 6600*o/7 - 4272. Solve z(s) = 0.
-10, 22
Suppose -4*b - 6*p + 2*p + 32 = 0, 4*b = -3*p + 28. Factor -r + 3*r + 34*r**3 + 7*r**5 + 13*r**2 - 7*r**3 + 23*r**b.
r*(r + 1)**3*(7*r + 2)
Let l(d) = -d**3 - 21*d**2 + 22*d + 4. Let a be (44/(-12))/(2/12 - 0). Let n be l(a). Factor 2*r**2 - n*r**2 - 6*r**3 - 45*r + 5*r**2 + 48*r.
-3*r*(r - 1)*(2*r + 1)
Let h(q) be the first derivative of -2*q**5/115 - 7*q**4/46 + 2*q**3/23 + q**2 + 28*q/23 + 993. Suppose h(z) = 0. Calculate z.
-7, -1, 2
Let w = 7464/25 - 26534/25. Let p = 763 + w. What is g in 9/5*g - p - 8/5*g**2 = 0?
1/8, 1
Let s(r) be the first derivative of 2/3*r**2 + 110 - 10/27*r**3 + 0*r + 1/18*r**4. Factor s(d).
2*d*(d - 3)*(d - 2)/9
Let v(k) = -2819*k**2 + k. Let r be v(0). Factor 2/3*i - 5/3*i**4 + r + 1/3*i**5 + 3*i**3 - 7/3*i**2.
i*(i - 2)*(i - 1)**3/3
Let o(t) be the second derivative of -t**7/840 - 7*t**6/480 - t**5/15 - t**4/8 + 44*t**2 + 4*t + 16. Let u(a) be the first derivative of o(a). Solve u(l) = 0.
-3, -2, 0
Let n(f) be the third derivative of -3*f**2 + 2/3*f**3 + 0*f - 3/40*f**5 + 17/24*f**4 + 0. Solve n(g) = 0 for g.
-2/9, 4
Suppose 80*v + 25899 - 26059 = 0. Find d such that -2 + 2/11*d**v - 20/11*d = 0.
-1, 11
Factor 1/4*b**3 - 25/4*b**2 + 0 + 63/2*b.
b*(b - 18)*(b - 7)/4
Let h be ((-1)/4)/(1/4). Let d be (56/20)/(h/(-35)). Factor -578*z**2 - 532*z**3 + 24*z**2 - 72 - d*z**4 + 266*z + 190*z.
-2*(z + 3)**2*(7*z - 2)**2
Let a(d) be the second derivative of -9*d**7/14 - 38*d**6/5 - 231*d**5/20 + 161*d**4/2 - 32*d**3 - 144*d**2 - 2*d - 249. Determine i so that a(i) = 0.
-6, -4, -4/9, 1
Suppose 80/3*d + 1/3*d**5 - 8*d**3 - 17/3*d**4 + 104/3*d**2 - 48 = 0. Calculate d.
-2, 1, 2, 18
Let h(f) = 123*f**4 - 315*f**3 + 312*f**2 + 618*f - 6. Let k(i) = 143*i**4 - 316*i**3 + 314*i**2 + 619*i - 7. Let x(r) = 7*h(r) - 6*k(r). Factor x(s).
3*s*(s - 102)*(s - 2)*(s + 1)
Let i = 1859 + -1858. Let w be (i/((-40)/(-16)))/((-2)/(-20)). Find x, given that x**w - x**2 + 5/3*x**3 - 4/3*x**5 + 0 - 1/3*x = 0.
-1, -1/4, 0, 1
Let y(z) = -617*z**2 - 22831*z - 74. Let n be y(-37). Factor n - 2/5*k**2 + 14/5*k.
-2*k*(k - 7)/5
Let d(c) = -6*c - 7. Let h(z) = z + 1. Let p(y) = d(y) + 5*h(y). Let r be p(-5). Factor -4*g**4 + 352*g**r - 352*g**3 + 14*g**5.
2*g**4*(7*g - 2)
Suppose -44 = -5*z - j, -z + 5*j + 50 = z. Factor -14/3*l**2 - 2/3*l**3 + z - 14/3*l.
-2*(l - 1)*(l + 3)*(l + 5)/3
Suppose 0 = -2*y - 5*a + 25, 0*a - 90 = -3*y + 3*a. Let q be 214/18 - y/(-225). Find d such that q*d**5 - 3*d**2 + d**2 - 2*d + d + 2*d**4 - 11*d**5 = 0.
-1, 0, 1
Suppose -243 = 13*p - 282. Let l(s) be the second derivative of 1/25*s**6 - 1/10*s**5 + 0 + 1/30*s**4 - 8*s + 0*s**2 + 1/15*s**p. Let l(i) = 0. What is i?
-1/3, 0, 1
Let o(r) = -389*r + 59130. Let z be o(152). Factor 2/7*b**4 + 2*b - 6/7*b**z + 12/7 - 6/7*b**3.
2*(b - 3)*(b - 2)*(b + 1)**2/7
Let u(l) = 11*l**2 - 152*l - 96. Suppose 4*k + 7*n - 13 = 8*n, 0 = 3*k - 3*n - 3. Let z(s) = 23*s**2 - 301*s - 193. Let o(c) = k*z(c) - 7*u(c). Factor o(t).
5*(t - 10)*(3*t + 2)
Let s be (-18500)/72 + (200/(-36) - -6). Let q = 258 + s. Solve q - 5/4*b - 1/4*b**2 = 0 for b.
-6, 1
Let o be -10 + 264/24 + (-58)/30 + 1. Let h(v) be the first derivative of 1/12*v**4 - o*v**5 + 0*v**3 + 0*v**2 + 0*v - 23. Factor h(k).
-k**3*(k - 1)/3
Let g(t) = -19*t**4 - 36*t**3 - 87*t**2 + 2*t + 18. Let v(i) = 2*i**4 - i**3 - 5*i - 2. Let k(r) = 2*g(r) + 18*v(r). Let k(o) = 0. Calculate o.
-43, -1, 0
Let a = 33 - 6. Suppose -13*u = -10*u - a. Factor 63*r - 20 - u*r**2 + 9*r**2 + 2*r - 45*r**2.
-5*(r - 1)*(9*r - 4)
Let w(b) be the third derivative of b**5/12 + 405*b**4/2 + 196830*b**3 - 1519*b**2. Solve w(q) = 0.
-486
Let c(p) = -115*p**2 - 1039*p - 31. Let n be c(-9). Suppose 18/5*m**3 - 6*m**4 + 0*m - 2/5*m**2 + 0 - 10*m**n = 0. Calculate m.
-1, 0, 1/5
Find n such that -5/3*n**2 + 5/3*n**4 + 0 + 145*n**3 - 145*n = 0.
-87, -1, 0, 1
Let q(t) be the first derivative of -2/21*t**3 - 22/7*t**2 - 242/7*t - 28. Factor q(c).
-2*(c + 11)**2/7
Suppose -5*x = -8*x + l + 5, 0 = -5*x + 2*l + 8. Suppose -20 = 50*g - 54*g + 5*f, -3*g - x*f = 8. Let -b**3 - 1/3*b**2 + 0 + g*b = 0. What is b?
-1/3, 0
Let i = 433/11 + -8139/209. Let n be ((-550)/(-38))/(-5) + 3. Let 6/19 - i*g + n*g**2 = 0. Calculate g.
1, 3
Let c(h) = 2*h**2 + 36*h + 16. Let s be c(-17). Let q be (4/6 - 0)*s/(-4). Let -5*l**4 - 3 + 2*l**2 + 21*l**q + 3 - 24*l**3 = 0. Calculate l.
-1, 0, 2/5
Let s(v) be the third derivative of 0*v - 7/120*v**5 + 54 - 1/420*v**7 + 1/48*v**4 + 17/720*v**6 + v**2 + 1/9*v**3. Find a such that s(a) = 0.
-1/3, 1, 4
Suppose 0 - 7/6*h - 1/6*h**2 = 0. Calculate h.
-7, 0
Let a(z) = z**4 + 2*z**3 + z**2 + 2*z + 5. Let m(h) = 5*h**4 - h**3 + 21*h**2 + 17*h