
0, 8
Suppose -4*j + 60 = 48. Suppose 20 = 5*p - v, -5*p + j*p = 5*v + 19. Factor -1/5*a**p + 0 - 1/5*a - 2/5*a**2.
-a*(a + 1)**2/5
Let k(f) be the first derivative of 24 - 2/5*f**5 - 3*f**2 - 5/2*f**4 + 0*f - 14/3*f**3. What is q in k(q) = 0?
-3, -1, 0
Let o(m) be the first derivative of 8*m**3/3 + 41*m**2 + 90*m + 1477. Factor o(k).
2*(k + 9)*(4*k + 5)
Determine p so that -52/5*p**3 + 0*p + 26/5*p**4 - 16*p**2 - 2/5*p**5 + 0 = 0.
-1, 0, 4, 10
Let n(c) be the second derivative of -c**4/32 + 5*c**3/16 + 99*c**2/8 + 36*c - 13. Factor n(q).
-3*(q - 11)*(q + 6)/8
Let 3045/2*r - 9/2*r**2 - 507 = 0. What is r?
1/3, 338
Let o = -533 + 565. Solve 56*r**4 + 558*r**3 - o - 176*r**2 - 224*r - 62*r**3 - 11*r**5 - 28*r**5 - 10*r**4 - 71*r**5 = 0 for r.
-2, -2/5, -2/11, 1, 2
Let m(j) = 3*j**3 + 12*j**2 + 3*j - 20. Let z(g) = 8. Let f(i) = -16 + 40 - 10 - 7. Let c(a) = 7*f(a) - 6*z(a). Let y(l) = -2*c(l) - m(l). Solve y(q) = 0 for q.
-3, -2, 1
Let a be (-56)/(-9) + -2 - 20/990*11. Let o(w) be the third derivative of 30*w**2 + 0*w + 0 + 1/30*w**a - 1/75*w**5 + 4/15*w**3. Factor o(c).
-4*(c - 2)*(c + 1)/5
Let x(b) be the second derivative of -7*b - 1/20*b**5 + 0*b**2 + 4/3*b**4 - 1 - 32/3*b**3. Factor x(w).
-w*(w - 8)**2
Let a(n) be the second derivative of n**6/60 + 103*n**5/10 + 4879*n. Factor a(q).
q**3*(q + 412)/2
Let b(j) = -162*j**2 + 111*j - 81. Let f(w) = 10*w**2 - 7*w + 5. Suppose 0*g + 165 = 5*g. Let q(x) = g*f(x) + 2*b(x). Determine m so that q(m) = 0.
1/2, 1
Suppose 5*s - 4*s = -u, 0 = 3*s - u - 20. Let z be s/1 + (-49)/15. Factor -24/5 - 32/5*w - z*w**2 - 2/15*w**3.
-2*(w + 1)*(w + 6)**2/15
Let d(t) be the second derivative of 1/10*t**6 + 0 - 3/20*t**5 - 3/4*t**4 + 3*t**2 + 1/2*t**3 + 13*t. Factor d(l).
3*(l - 2)*(l - 1)*(l + 1)**2
Suppose 54 = 13*s + 14*s. What is n in -n**s - 617 + 57*n + 573 - 17*n + 5*n**2 = 0?
-11, 1
Let z(y) be the second derivative of -61*y - 27*y**2 + 43/2*y**3 + 1/10*y**6 - 31/4*y**4 + 3/4*y**5 - 2. Factor z(i).
3*(i - 2)*(i - 1)**2*(i + 9)
Solve 9*i**2 - 278*i - 9*i**4 + 13*i**4 - 7*i**4 - 46*i + 30*i**3 = 0.
-3, 0, 4, 9
Let z(h) be the second derivative of 120*h**7/7 + 2392*h**6/5 + 20921*h**5/5 + 29476*h**4/3 + 2982*h**3 - 15876*h**2 + 10*h - 97. Solve z(w) = 0.
-9, -7/6, 2/5
Find j, given that 14/11*j**3 - 54/11*j**2 + 0 + 6/11*j**4 - 2/11*j**5 + 36/11*j = 0.
-3, 0, 1, 2, 3
Let c(d) be the second derivative of d**5/120 + 5*d**4/24 - 2*d**3 + 19*d**2/3 - 504*d. Suppose c(z) = 0. Calculate z.
-19, 2
Suppose 8 = 3*u + 5*y - 5, -4*y + 12 = 4*u. Let l be (u - (5 + 0))*2/(-18). Factor l*v**3 - 2/9 + 2/3*v**2 + 0*v.
2*(v + 1)**2*(2*v - 1)/9
Let i(k) be the first derivative of k**3/9 - 263*k**2/6 - 88*k + 795. Determine n, given that i(n) = 0.
-1, 264
Suppose 7*x - 252 = 301. Factor 28 - 45*s - 25*s - x - 2*s**3 + 26*s**2 - 47.
-2*(s - 7)**2*(s + 1)
Let o(j) be the first derivative of 8*j**4/9 + 112*j**3/27 + 49*j**2/9 - 2405. Suppose o(u) = 0. Calculate u.
-7/4, 0
Let n = 44257/240 + -922/5. Let r(h) be the third derivative of -n*h**5 - 5/96*h**4 - 11*h**2 + 0 + 0*h - 1/8*h**3 + 1/480*h**6. Factor r(l).
(l - 3)*(l + 1)**2/4
Let i be (-220)/(-165)*-15*1/(-2). Find v such that 46/5*v - 94/5*v**2 + 0 - 2/5*v**4 + i*v**3 = 0.
0, 1, 23
Solve -183/2*y**2 + 1290*y + 3/2*y**3 - 1200 = 0 for y.
1, 20, 40
Let n(j) = 2*j**3 + j**2 - 7*j + 19. Let x be n(3). Factor 125 - 65*m + 76*m + 5*m**2 - x*m.
5*(m - 5)**2
Let s be 316972/28776 + (-22)/12 + 2/(-11) + -7. Factor -12/7 - 2/7*x**s + 10/7*x.
-2*(x - 3)*(x - 2)/7
Suppose d - 4*v = -0*d + 24, -1 = d + v. Let t(g) = -g**2 + 9*g - 16. Let r be t(d). Factor -32 + 3*f**3 - 3*f + 6*f**4 + 32 + f**2 - 7*f**r.
-f*(f - 3)*(f - 1)*(f + 1)
Let n = 122 - 120. Let 3*k**4 + 18*k**3 + 7*k**2 + 12*k + 2*k**2 + 19*k**n - k**2 = 0. What is k?
-4, -1, 0
Let d = -7401 - -7403. Let r(u) be the third derivative of 0 + 0*u**4 + 0*u - 1/180*u**6 + 0*u**3 - 1/180*u**5 - 1/630*u**7 - 26*u**d. Solve r(f) = 0 for f.
-1, 0
Let v(x) be the first derivative of x**4/2 - 6*x**3 - 2983. Factor v(i).
2*i**2*(i - 9)
Let c(s) = -13*s + 6. Let l be c(-4). Factor -l - 172*g - 23 - 37 - 4*g**3 + 34 - 92*g**2.
-4*(g + 1)**2*(g + 21)
Suppose 3*s = 3*b - 67 - 119, 170 = 3*b + 5*s. Suppose -15*k + 35*k - b = 0. Factor -5/6*w**k + 2/3*w - 4/3 + w**2 + 1/6*w**4.
(w - 2)**3*(w + 1)/6
Suppose 3*k + 15 = n, -124 = -5*n - 4*k - 144. Factor 15/4*i + 85/4*i**3 + 35/4*i**4 + 65/4*i**2 + n.
5*i*(i + 1)**2*(7*i + 3)/4
Let w(u) = 24*u + 130. Let g be w(-5). Suppose -25*h - g*h = 2*h. Factor 0*t + h + 0*t**4 + 2/7*t**5 + 0*t**2 - 2/7*t**3.
2*t**3*(t - 1)*(t + 1)/7
Let d(z) be the second derivative of 0 - 1/6*z**4 + 8*z - 1/60*z**5 - 1/2*z**3 - 2/3*z**2. Find c such that d(c) = 0.
-4, -1
Suppose 20 = -15*m - 5*m. Let b be ((-1)/m)/(2/8) - 0. Determine q, given that 5/2*q**3 + 5/2*q**b + 0*q + 0 + 0*q**2 = 0.
-1, 0
Let o(r) = -5*r**2 - 647*r - 2468. Let z(g) = 10*g**2 + 1291*g + 4934. Let l(q) = -7*o(q) - 4*z(q). Find u, given that l(u) = 0.
-123, -4
Find f such that 6607*f - 2520*f**2 - 58320 - 7*f**5 + 2*f**5 - 205*f**4 + 38569*f - 2360*f**3 + 184*f = 0.
-18, -9, 2
Let m(q) be the third derivative of 0*q + 22*q**2 + 29/60*q**4 - 7/300*q**5 + 0 - 8/15*q**3. Factor m(k).
-(k - 8)*(7*k - 2)/5
Let a(x) = 5*x**3 + 80*x**2 - 1505*x - 3386. Let s(j) = j**3 + 2*j - 4. Let c(b) = -a(b) + 6*s(b). Let c(d) = 0. What is d?
-2, 41
Let i be 60/8*136/340. Factor 0 - 2/5*n**4 + 26/5*n**2 - 4*n - 4/5*n**i.
-2*n*(n - 2)*(n - 1)*(n + 5)/5
Let f be (-4)/((-1968)/9) - (-6 + 6). Let y = f - -313/820. Factor 0 - y*d**2 - 4/5*d.
-2*d*(d + 2)/5
Suppose 441/2 + 5237*s**2 - 3859/2*s**4 - 4683/2*s + 5725*s**3 + 289/2*s**5 = 0. Calculate s.
-1, 3/17, 7
Let a(m) = -123*m. Let k be a(-1). Let u = k - 121. What is t in 311*t**u + 347*t**2 - 592*t**2 + 363*t + 3*t**3 = 0?
-11, 0
What is m in -74/5*m - 168/5 + m**2 = 0?
-2, 84/5
Let c(z) be the first derivative of 15*z**4 + 180*z - 175/3*z**3 - 30*z**2 - z**5 - 39. Factor c(f).
-5*(f - 6)**2*(f - 1)*(f + 1)
Suppose -2*r - 35*u + 30 = -30*u, -4*u = -5*r - 24. Let s be 2/(-4)*-4 - 0. Suppose 2/7 + r*d - 2/7*d**s = 0. What is d?
-1, 1
Let v(t) be the second derivative of 98*t**6/3 - 1337*t**5/5 + 9094*t**4/15 + 3224*t**3/5 - 24336*t**2/5 - 6070*t. What is f in v(f) = 0?
-1, 2, 78/35
Let d be (-71)/5 + (6 - -9). Factor -2/5*k + 6/5 - d*k**2.
-2*(k - 1)*(2*k + 3)/5
Let h be ((-6)/(-333))/(624/51740). Let t = 2/333 + h. Suppose 1/2*k**3 - 1/2 - 3/2*k**2 + t*k = 0. Calculate k.
1
Let q = -2420/57 - -313130/7353. Let a = q + 4/43. What is h in 2/9*h**2 + 4/9*h + a = 0?
-1
Let i(k) = 9*k**3 + 483*k**2 + 18153*k - 103329. Let a(r) = -r**3 + 4*r - 1. Let n(q) = 6*a(q) + i(q). Factor n(b).
3*(b - 5)*(b + 83)**2
Let m(q) = -2*q**2 - 2*q. Let i(t) = 13*t**2 + 883*t - 2670. Let j(h) = i(h) + 4*m(h). Determine n so that j(n) = 0.
-178, 3
Let a(k) be the first derivative of -k**7/2520 - k**6/360 - k**5/120 - k**4/72 + 11*k**3/3 + 2*k - 21. Let n(h) be the third derivative of a(h). Factor n(j).
-(j + 1)**3/3
Suppose 0 = 11*n - 856 + 790. Let s(a) be the third derivative of 0*a**5 + 0*a + 0*a**4 + 1/360*a**n - 3*a**2 + 0 + 0*a**3. Factor s(u).
u**3/3
Suppose -3*t + 90 = -21. Let n = t + -21. Determine m, given that -7*m**3 - 4*m**2 + n*m**2 + 3*m**3 = 0.
0, 3
Suppose -26*w - 510 = -16*w. Let q(h) = h**3 + 6*h**2 - 4. Let x(y) = 8*y**3 + 49*y**2 - 34. Let i(z) = w*q(z) + 6*x(z). What is c in i(c) = 0?
-4, 0
Let r(c) = -13*c + 84. Let s be r(6). Let f = -1/100 + 151/100. Determine k so that -6 - f*k**2 + s*k = 0.
2
Let z(s) = -116*s**2 + 564*s - 1180. Let d(c) = -10*c**2 - c - 1. Let a(w) = 12*d(w) - z(w). Let a(v) = 0. What is v?
-146, 2
Let u = 1609/20 - 1521/20. Find k, given that -6/5 - u*k + 6/5*k**3 - 2*k**2 = 0.
-1, -1/3, 3
Let x(j) be the third derivative of j**6/180 + 53*j**5/30 + 2809*j**4/12 + 10*j**3/3 + 42*j**2. Let g(v) be the first derivative of x(v). Factor g(w).
2*(w + 53)**2
Let c(v) be the second derivative of 0*v**3 + 193*v - 2/21*v**7 + 0 - 32*v**2 - 2/5*v**6 + 4/5*v**5 + 16/3*v**4. Factor c(h).
-4*(h - 2)*(h - 1)*(h + 2)**3
Let t(f) be the second derivative of 11*f**2 - 1/150*f**5 + 0 + 0*f**4 - 10*f - 1/300*f**6 + 0*f**3. Let k(x) be the first derivative of t(x). Factor k(q).
-2*q**2*(q + 1)/5
Let q be 2033/2261 + (-1